Exploring Pyramids Around the World

Exploring Pyramids Around the World book cover

Grade 3
5 skill lessons · 3 math-through-reading

Math

Skill lessons

The mathematics the book carries, taught directly. Printable workbook pages are currently available for 5 of 5 lessons; separate teacher keys are available for 3 of 5.

  • 1From Flat Paper to a Standing Pyramid
  • 2Count What Meets: Faces, Edges, and Vertices
  • 3Fourteen, Twelve, Ten: The Step Pyramid Count
  • 4Is 853 Almost Twice 480?
  • 5Two Bases, Two Sizes

Math + reading

Math through the reading

The same book, entered through a sentence it prints. Change one word in the reading and the numbers change with it.

  • 6The Word That Takes Two Inches
  • 7The Number That Is Not on the Page
  • 8Three Hundred Seventy-Three Feet, Said Both Ways

Reading

Reading and language lessons

The same book read as a text. What a word means in its sentence, how a character is shown, how the writing is put together - no mathematics.

  • 9What the book stops to tell you
  • 10Two pyramids, one chart
  • 11Seven moves, one order
  • 12One sentence for the whole section
  • 13The writer asks, the book answers
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Skill lessons

5 lessons on the mathematics the book carries. Printable workbook pages are currently available for 5 of 5 lessons; separate teacher keys are available for 3 of 5.

1. From Flat Paper to a Standing Pyramid Representation · Measuring and drawing a square base with four triangular faces, then folding it into a solid

The book hands the builder every number this lesson needs: a square base at least five inches on each side, four triangles three and a half inches tall, slanted sides about four and one quarter inches long. Students measure and draw that flat net, cut around the triangles without cutting the base, and fold it up into a solid that stands. The measuring is the mathematics: every line is drawn to a stated length and checked before the next one goes down.

Full lesson — 20 minutes

  1. 1. Draw the square base (4 min)

    With the ruler flat on the paper, draw a square five inches on each side in the middle of a large sheet of heavy construction paper. Measure every side before you draw the next one and write the 5 beside each side as you finish it. Four sides, four fives, or the folded pyramid will lean.

    Word preview: base, inches

    at least five inches on each side, in the middle of a large piece of heavy construction paper.
    This will be the base of our model pyramid.
  2. 2. Draw the four triangles (5 min)

    Use each side of your square as the bottom of a triangle. Draw four triangles that are three and a half inches tall, with the two slanted sides about four and one quarter inches long. Check one slanted side against the other before you move on to the next side of the square.

    Word preview: faces, equal

    With the ruler, draw four triangles that are three and a half inches tall.
    The sides of the triangle should be about four and one quarter inches long.
    Make sure the two sides of each triangle are equal in length.
  3. 3. Cut only the triangles (5 min)

    Cut along the outside edges of the four triangles and stop at the square. The base has to stay joined to all four triangles, so run a finger around the four fold lines first and say do not cut here at each one. Then cut.

    Once you've drawn the base and all four faces of the pyramid, use scissors to cut along the edges of the four triangles.
    Don't cut the square base.
  4. 4. Fold, meet, and tape (6 min)

    Fold each triangle up along the line it shares with the square. Bring the four tips together over the middle of the base and tape the points. Set the model down and check that it rests flat on its square base. If one tip sits off to the side, unfold and remeasure the triangle that came up short.

    The triangles should meet each other at the top of the pyramid.
    Use tape to hold the four points together and you have made a three-dimensional or three-d model of the great pyramid at Giza.

Short version — 9 minutes

  1. 1. Draw the square base (4 min)

    Draw a square five inches on each side in the middle of the heavy paper, measuring every side before you draw the next. Write the 5 beside each one.

    Word preview: base, inches

    at least five inches on each side, in the middle of a large piece of heavy construction paper.
  2. 2. Draw the four triangles (5 min)

    Use each side of the square as the bottom of a triangle three and a half inches tall, with slanted sides about four and one quarter inches. Check the two slanted sides against each other on every triangle.

    Word preview: faces, equal

    With the ruler, draw four triangles that are three and a half inches tall.
    The sides of the triangle should be about four and one quarter inches long.

Three levels

Support
Start from paper that already carries the five-inch square in light pencil, and spend the whole time on the four triangles: three and a half inches tall, slanted sides about four and one quarter inches, checked one against the other. Everything after that stays the same, including the cutting, the folding, and the tape.
At Grade
Draw the five-inch square, then the four triangles, then cut, fold, and tape. Write the measurement beside every line you draw so a partner can check your paper against the book's numbers before you pick up the scissors.
Extension
Before you fold, put one finger on the middle of a triangle's bottom edge and another on its tip: that gap is the three and a half inches. Now run a finger up a slanted side, which the book gives as about four and one quarter inches. Tell a partner why the slanted trip has to be the longer one, pointing at both paths while you say it.

English learners

Number and measurement travel across languages: a student who reads a ruler in any language reads this one, and 5, three and a half, and four and one quarter sit at the same marks on every inch ruler. What does not travel is the instruction syntax. The phrase five inches on each side spreads one number over four sides, and many languages mark that spreading differently, so a student may measure one side and stop. Walk through a sentence naming the inches on this side and then the inches on each side. while the student points first at one side and then around all four. Let students count and check measurements in their everyday language and report the number in English.

Materials

  • Large sheet of heavy construction paper, one per student
  • Ruler marked in inches
  • Pencil
  • Safety scissors
  • Clear tape
  • Word cards: base, equal, faces, inches

Workbook

Print these for the class. They carry your edits, and they print in black and white.

Word cards: base, equal, faces, inches card set

Exploring Pyramids Around the World — From Flat Paper to a Standing Pyramid

Word cards

Cut along each line. One word on each card.


base


equal


faces


inches


Sentence strips: this side, each side strip set

Exploring Pyramids Around the World — From Flat Paper to a Standing Pyramid

Sentence strips

Say each sentence with your number in it. Point as you say it.


__________ inches on this side.


__________ inches on each side.


Standards & curriculum

Choose your curriculum above to see the standards for this lesson.

2. Count What Meets: Faces, Edges, and Vertices Concept · Naming and counting the faces, edges, and vertices of a square pyramid

The parts of a solid are named one at a time. Faces are the flat surfaces, edges are where faces meet, a vertex is the point where three or more edges meet, the base is the bottom, and the great pyramid has a square base and four triangular faces. Students take a folded paper pyramid and count each kind of part with a marker in hand so nothing is counted twice: five faces, eight edges, five vertices.

Full lesson — 20 minutes

  1. 1. Count the faces (4 min)

    Take the folded paper pyramid and run a flat hand over every surface, sticking one dot on each surface as you go so none gets counted twice. Count the dots aloud and say what you found: one square face and four triangle faces, five faces in all.

    Word preview: faces

    Pyramids, cubes, and most other 3D shapes have sides called faces.
    The great pyramid has a square base and four triangular faces.
  2. 2. Trace the edges where faces meet (5 min)

    Faces meet in lines. Draw over every one of those lines with the crayon. Work all the way around the bottom first, then up each slant to the top. No line gets coloured twice. Count the coloured lines and say the number aloud.

    Word preview: edges

    Faces are flat surfaces that meet at the edges of the shape.
  3. 3. Find every vertex (5 min)

    Press a fingertip on each point where three or more of your coloured lines run together and stick a dot on it. Count the dots: four down at the base, one up at the top. Write the three counts on the index card, faces first, then edges, then vertices.

    Word preview: vertex

    The point or corner where three or more edges meet is called a vertex.
  4. 4. Say the count to another pair (6 min)

    Trade models with another pair and check their card against their model, touching each face, each edge, and each vertex as you count it. Then say the whole sentence with your own numbers inside it: this pyramid has five faces, eight edges, and five vertices, and the face it rests on is its base.

    Word preview: base

    The base is the bottom of the object.

Short version — 9 minutes

  1. 1. Count the faces (4 min)

    Run a flat hand over every surface of the folded pyramid, sticking one dot on each so none is counted twice. Say the count aloud: one square face, four triangle faces, five in all.

    Word preview: faces

    Pyramids, cubes, and most other 3D shapes have sides called faces.
  2. 2. Find every vertex (5 min)

    Press a fingertip on each point where three or more edges run together and stick a dot on it. Count the dots, four at the base and one at the top, and write the number on the card.

    Word preview: vertex

    The point or corner where three or more edges meet is called a vertex.

Three levels

Support
Work with a model whose eight edges are already drawn in crayon, and put your time into the two counts that are still open, the faces and the vertices. Say both numbers aloud and write all three on the card, the same card everyone else fills in.
At Grade
Count all three kinds of part yourself, marking as you go so nothing is counted twice, write the counts on the card, and check another pair's card against their model before you say the sentence.
Extension
Fold one triangle flat down onto the table, then fold it back, and do that for each triangle in turn. Then tell a partner why a square base can hold exactly four triangles and never five: each bottom edge carries one triangle, and there are four bottom edges.

English learners

Counting and one-to-one touching carry over from any language, and a student can point at a face long before naming one. The words are the whole load here, and three of the four fight an everyday English meaning: a face is not a person's face, a base is not a base you run to, and edges here are lines where two surfaces meet, not the rim of a table. Run a sentence naming the part and then how many of them there are. with the model in hand and a finger on the part being named. A student may count in their family language first and then say the frame in English.

Materials

  • Folded paper square pyramid, one per pair
  • Sticky dots
  • Crayon
  • Index card, one per pair
  • Pencil
  • Word cards: base, edges, faces, vertex

Workbook

Print these for the class. They carry your edits, and they print in black and white.

Count card: faces, edges, vertices half page

Exploring Pyramids Around the World — Count What Meets: Faces, Edges, and Vertices

Count card

Write your three counts in order.

Faces


Edges


Vertices


Sentence strip: faces, edges, vertices, base strip set

Exploring Pyramids Around the World — Count What Meets: Faces, Edges, and Vertices

Sentence strip

Say the whole sentence with your own counts in it. Touch each part as you name it.


This pyramid has __________ faces, __________ edges, and __________ vertices.

The face it rests on is its base.


Word cards: base, edges, faces, vertex card set

Exploring Pyramids Around the World — Count What Meets: Faces, Edges, and Vertices

Word cards

Cut along each line. One word on each card.


base


edges


faces


vertex


Teacher key (1 page) — not for the class
Teacher key: count card half page

Exploring Pyramids Around the World — Count What Meets: Faces, Edges, and Vertices

Teacher key — Count card

Expected counts, in the order the card asks for them.

  • Faces: 5. One square face and four triangle faces.
  • Edges: 8. Four running around the bottom and four running up the slants to the top.
  • Vertices: 5. Four down at the base and one up at the top.

Read for

A close response arrives with the model marked: a dot on every surface, every line coloured once, a dot on every point where three or more coloured lines run together. The counts and the marks agree, and the pair can touch each part again while the other pair checks.

A loose response is a number with nothing on the model behind it. Four faces usually means the square base was not counted as a face. Four vertices usually means the point at the top was missed. Twelve edges usually means a line was coloured from both ends and counted twice.

Standards & curriculum

Choose your curriculum above to see the standards for this lesson.

3. Fourteen, Twelve, Ten: The Step Pyramid Count Fluency · Subtracting within 20 to build and order a run of square sizes that falls by twos

The step pyramid is built from six squares whose sides run 14, 12, 10, 8, 6 and 4 inches, and the book shows where the first drop comes from: measure in one inch from each side of a fourteen-inch square and you are left with a twelve-inch square. Students run that subtraction on an inch strip, write the whole run back by twos, deal six number cards largest to smallest while naming the difference at each step, and check that the run has exactly six terms against the book's six stacked mastabas.

Full lesson — 20 minutes

  1. 1. Take one inch from each side (5 min)

    Lay the fourteen-inch strip flat and mark one inch in from the left end, then one inch in from the right end. Count the inches left between your two marks. Say the arithmetic out loud while you point: fourteen, take one, take one more, twelve.

    Word preview: inches

    On the first sheet, draw a square that is 14 inches on each side.
    Now measure in one inch from each side of the square and draw a square that is 12 inches on each side.
  2. 2. Count the six squares back by twos (4 min)

    Write the run of square sizes on the recording strip. Start at 14 and take two away each time, until the book's list runs out. 14, 12, 10, 8, 6, 4. Read your run back against the book's list and fix any number that does not match.

    Word preview: square, smaller

    Repeat these steps to create the remaining mastabas, using a 12 inch square, a 10 inch square, an 8 inch square, a 6 inch square, and a 4 inch square.
  3. 3. Deal the sizes in order (5 min)

    Shuffle the six number cards, then deal them out largest to smallest, the way the mastabas are stacked. After each card, say the difference between it and the card before: twelve, that is two less than fourteen. If a card lands out of place the difference will not be two, and that is your signal to move it.

    Word preview: mastaba

    Stack the mastabas on top of each other, from largest to smallest, using tape to hold them together.
    Each mastaba was smaller than the one below it.
  4. 4. Stop where the book stops (6 min)

    Count the cards in your finished run and check that number against the book: six. Then say what the next two numbers would be if the rule kept going, two and then zero, and say why a builder has to stop at four instead.

    He designed a tomb that looked like six mastabas stacked on top of each other.

Short version — 9 minutes

  1. 1. Take one inch from each side (5 min)

    Mark one inch in from each end of the fourteen-inch strip and count the inches left between the marks. Say it out loud: fourteen, take one, take one more, twelve.

    Word preview: inches

    Now measure in one inch from each side of the square and draw a square that is 12 inches on each side.
  2. 2. Count the six squares back by twos (4 min)

    Write the run of square sizes from 14, taking two away each time, and stop where the book's list stops: 14, 12, 10, 8, 6, 4. Check it against the book's list.

    Word preview: square, smaller

    Repeat these steps to create the remaining mastabas, using a 12 inch square, a 10 inch square, an 8 inch square, a 6 inch square, and a 4 inch square.

Three levels

Support
Work with a strip that already carries both one-inch marks, and put everything into the count: fourteen, twelve, ten, eight, six, four, touching each number on the strip as you say it. The card dealing and the check against the book's six stay exactly as written.
At Grade
Mark the strip, count the run, write it, deal the cards largest to smallest naming each difference of two, and count the terms against the book's six mastabas.
Extension
Start the same rule at twelve instead of fourteen and run it down to four. Count how many mastabas that stack would have, then tell a partner what changed and what stayed the same about the rule itself.

English learners

Counting back by twos is portable: a student who counts fluently in another language will run 14, 12, 10, 8, 6, 4 on the first try. The English that carries the load is the subtraction talk, take one from each side and two less than, where from and than do the mathematical work and are the easiest words to lose. Practise Fourteen take two is twelve. Twelve is two less than fourteen. with a finger on two cards at once. Invite students to count aloud in their first language and then say the two less than sentence in English.

Materials

  • Paper strip fourteen inches long, marked in inches
  • Pencil
  • Recording strip
  • Number cards 4, 6, 8, 10, 12, 14, one set per pair
  • Word cards: inches, mastaba, smaller, square

Workbook

Print these for the class. They carry your edits, and they print in black and white.

Recording strip: the run of six square sizes strip set

Exploring Pyramids Around the World — Fourteen, Twelve, Ten: The Step Pyramid Count

Recording strip

Start at 14. Take two away each time. Stop where the book's list stops.

1st square, inches on each side

2nd square, inches on each side

3rd square, inches on each side

4th square, inches on each side

5th square, inches on each side

6th square, inches on each side

Number cards: 4, 6, 8, 10, 12, 14 card set

Exploring Pyramids Around the World — Fourteen, Twelve, Ten: The Step Pyramid Count

Number cards

Cut along each line. One number on each card. One set for each pair.


4


6


8


10


12


14


Word cards: inches, mastaba, smaller, square card set

Exploring Pyramids Around the World — Fourteen, Twelve, Ten: The Step Pyramid Count

Word cards

Cut along each line. One word on each card.


inches


mastaba


smaller


square


Teacher key (1 page) — not for the class
Teacher key: recording strip half page

Exploring Pyramids Around the World — Fourteen, Twelve, Ten: The Step Pyramid Count

Teacher key — Recording strip

Expected run, largest first, one number to a box.

  1. 14 inches on each side
  2. 12 inches on each side
  3. 10 inches on each side
  4. 8 inches on each side
  5. 6 inches on each side
  6. 4 inches on each side

Read for

A close response holds the same drop the whole way down, two inches at every step, and stops at 4 because the book's list of mastabas stops there: six squares, six boxes filled, none left over.

A loose response usually shows one of three things: the run carries on past 4 to 2 and to 0, which is the rule running on after the book's list has ended; a term is skipped, so one gap is four instead of two; or the run is written smallest first, which will not match the order the mastabas are stacked in when the cards are dealt.

Standards & curriculum

Choose your curriculum above to see the standards for this lesson.

4. Is 853 Almost Twice 480? Reasoning · Adding and subtracting within 1000 to test a comparison the text states

Two heights and one comparison are stated: the Trans-America Building is 853 feet tall, almost twice the height of the Great Pyramid, which was about 480 feet tall when it was first built. Students do the arithmetic the comparison rests on. They add 480 and 480 to get 960, then subtract twice, finding that the building stops 107 feet short of doubled and stands 373 feet above the pyramid.

Full lesson — 20 minutes

  1. 1. Find the two heights (4 min)

    Read the two sentences on the strip and underline the feet in each: 853 for the Trans-America Building, about 480 for the Great Pyramid. Write both numbers at the top of your sheet, the taller building first, and keep the word about in front of the 480.

    Word preview: height

    It is 853 feet tall, almost twice the height of the great pyramid at Giza.
    The Great Pyramid is around 4500 years old and was about 480 feet tall when it was first built.
  2. 2. Double the smaller one (5 min)

    Twice the Great Pyramid's height means one 480 and then another 480. Add them on your sheet with the ones under the ones and the tens under the tens, regrouping where you need to. Write the total where your partner can see it.

    Word preview: twice

  3. 3. Put 960 and 853 side by side (5 min)

    Subtract once to find how far the real building falls short of doubled, 960 take away 853. Subtract again to find how far it stands above the pyramid, 853 take away 480. Circle the smaller of your two differences.

  4. 4. Say what the numbers show (6 min)

    The book says almost twice. Say that sentence back to a partner with your own numbers inside it. Twice about 480 feet is 960 feet. The building is 853 feet, so it stops 107 feet short of twice as tall. Then say which wording the numbers hold up, almost twice or exactly twice, and put a finger on the 107 as your reason.

    Word preview: twice

    It is 853 feet tall, almost twice the height of the great pyramid at Giza.

Short version — 9 minutes

  1. 1. Find the two heights (4 min)

    Underline the feet in each sentence on the strip and write both numbers at the top of your sheet: 853, and about 480.

    Word preview: tall, height

    It is 853 feet tall, almost twice the height of the great pyramid at Giza.
    The Great Pyramid is around 4500 years old and was about 480 feet tall when it was first built.
  2. 2. Double the smaller one (5 min)

    Add 480 and 480 on your sheet, ones under ones and tens under tens, regrouping where you need to, and write the total in large figures.

    Word preview: twice

Three levels

Support
The two heights arrive already written at the top of your sheet, 853 feet and about 480 feet, so all of your time goes into the doubling and the two subtractions. Say the finished sentence with all three numbers in it, the same sentence everyone else says.
At Grade
Find both heights in the sentences, double the smaller, subtract both ways, and say the comparison aloud with 960, 853 and 107 all inside one sentence.
Extension
The book's model instructions say to keep the base the same but double the height of the triangles, so a three and a half inch triangle becomes seven inches. Work that out, then tell a partner where the paper model is more exact than the real buildings are: the model doubles on the nose, and 853 feet stops 107 feet short.

English learners

The arithmetic here is language-independent: 480 plus 480 and 960 take away 853 look identical on paper in any classroom, and a student can be right long before they can say why. The comparison syntax is what blocks them. Almost twice the height of packs a multiplier, a hedge, and a possessive into five words, and taller than reverses in ways many languages handle differently. Rehearse Twice ___ feet is ___ feet. The building is ___ feet. before asking for the full comparison. Students may reason through the doubling in their strongest language and give the finished sentence in English.

Materials

  • Height sentence strip carrying the book's two height sentences
  • Pencil
  • Recording sheet
  • Word cards: height, twice

Workbook

Print these for the class. They carry your edits, and they print in black and white.

Recording sheet: the two height sentences, the doubling and the two differences At Grade full page

Exploring Pyramids Around the World — Is 853 Almost Twice 480?

Recording sheet

Read both sentences. Underline the feet in each one.

The Trans-America Building

“It is 853 feet tall, almost twice the height of the great pyramid at Giza.”

The Great Pyramid at Giza

“The Great Pyramid is around 4500 years old and was about 480 feet tall when it was first built.”

The two heights

The taller building, in feet

The Great Pyramid, in feet. Keep the word about in front of it.

Double the smaller one

Add the Great Pyramid's height to itself. Ones under the ones, tens under the tens.

Add here. Write the total where your partner can see it.





Put the two numbers side by side

Take 853 away from your total. That is how far the building falls short of doubled.




Take 480 away from 853. That is how far the building stands above the pyramid.




Circle the smaller of your two differences.

Recording sheet with the two heights already written Support full page

Exploring Pyramids Around the World — Is 853 Almost Twice 480?

Recording sheet

The two heights

The taller building, in feet

853 feet

The Great Pyramid, in feet

about 480 feet

Double the smaller one

Add the Great Pyramid's height to itself. Ones under the ones, tens under the tens.

Add here. Write the total where your partner can see it.





Put the two numbers side by side

Take 853 away from your total. That is how far the building falls short of doubled.




Take 480 away from 853. That is how far the building stands above the pyramid.




Circle the smaller of your two differences.

Word cards: height, twice card set

Exploring Pyramids Around the World — Is 853 Almost Twice 480?

Word cards

Cut along each line. One word on each card.


height


twice


Teacher key (1 page) — not for the class
Teacher key: recording sheet full page

Exploring Pyramids Around the World — Is 853 Almost Twice 480?

Teacher key — Recording sheet

Expected responses, in the order the sheet asks for them.

  1. Underlined in the two sentences: 853 feet, and about 480 feet.
  2. The two heights: 853 written first as the taller building, then about 480, with the word about kept in front of it.
  3. Doubling: 480 and 480 make 960.
  4. First subtraction: 960 take away 853 is 107 feet, how far the building falls short of doubled.
  5. Second subtraction: 853 take away 480 is 373 feet, how far the building stands above the pyramid.
  6. Circled: 107, the smaller of the two differences.

On the Support sheet the two heights are already printed, so that sheet starts at the doubling. Everything from there down is the same.

Read for

A close response keeps the word about in front of 480 and carries it through, lines the digits up so the regrouping in 480 and 480 and in 960 take away 853 happens in the right column, and ends with 107 circled rather than 373. The two differences are labelled differently on the page for a reason: one is the gap to doubled, the other is the gap between the two structures, and a close response does not swap them.

A loose response is right on the arithmetic and vague about which number answers which question, or it drops the about and treats 480 as exact. Watch for 960 take away 853 written as 853 take away 960, and for a doubling done by adding 480 to 853.

Standards & curriculum

Choose your curriculum above to see the standards for this lesson.

5. Two Bases, Two Sizes Application · Measuring, comparing and covering two square bases given in inches and half inches

Two of the book's models have stated base squares: at least five inches on each side for the great pyramid, about 2.5 inches on each side for the Nubian one. Students measure and cut both, lay the small square into a corner of the large one to see what is left over, count how many small squares it takes to cover the large one, and then slot the step pyramid's four-inch square into the order.

Full lesson — 20 minutes

  1. 1. Cut both base squares (5 min)

    Measure and cut two squares: one five inches on each side for the great pyramid model, one two and a half inches on each side for the Nubian model. Write the side length on each square the moment you cut it out.

    Word preview: base, smaller

    at least five inches on each side, in the middle of a large piece of heavy construction paper.
    Make the square base for this pyramid smaller than the great pyramid base.
    About 2.5 inches on each side.
  2. 2. Lay one on the other (4 min)

    Set the small square into one corner of the large square with two sides lined up exactly. Mark how much of the big side is left uncovered and measure that piece. Say what you measured out loud: two and a half inches, the same length as the small square's side.

  3. 3. Cover the big square (5 min)

    Slide the small square around the big one and count how many times it has to be laid down to cover the big square with no gaps and no overlaps. Then mark the big square into that many parts to show your count.

  4. 4. Put a third base in order (6 min)

    The smallest mastaba of the step pyramid is four inches on each side. Take that square and put all three in order from widest to narrowest. Then say each gap out loud. Five to four is one inch. Four to two and a half is one and a half inches.

    Word preview: inches

    Repeat these steps to create the remaining mastabas, using a 12 inch square, a 10 inch square, an 8 inch square, a 6 inch square, and a 4 inch square.

Short version — 9 minutes

  1. 1. Cut both base squares (5 min)

    Measure and cut a square five inches on each side and a square two and a half inches on each side, writing the side length on each one as you finish it.

    Word preview: base, smaller

    at least five inches on each side, in the middle of a large piece of heavy construction paper.
    About 2.5 inches on each side.
  2. 2. Lay one on the other (4 min)

    Set the small square in a corner of the large one with two sides lined up, then measure the strip of the big side that is left uncovered and say the length aloud.

Three levels

Support
Both squares arrive already cut, five inches and two and a half inches, with the side length written on each. Your work starts at laying one on the other and runs straight through the covering count and the ordering, exactly as written.
At Grade
Measure and cut both squares, mark and measure the uncovered strip, count the coverings, and order all three squares while naming each gap.
Extension
Both models use triangles three and a half inches tall, but one base is half the width of the other. Stand both finished models up and tell a partner which one leans in more sharply, using the two base measurements, five inches and two and a half inches, as your whole reason.

English learners

Measuring and covering are visible acts, and a student can do this entire lesson correctly while the English is still arriving. The words to rehearse are the comparison pair, because wider than and narrower than are two halves of one fact and many languages build them differently, so a student who has the arithmetic can still produce the wrong half. Give the frame The ___ base is ___ inches wider than the ___ base. and have the student say it with a hand flat on each square. Reasoning in the strongest language first is welcome; the frame is said in English.

Materials

  • Heavy paper, two sheets per pair
  • Ruler marked in inches
  • Safety scissors
  • Pencil
  • Paper square four inches on each side, one per pair
  • Word cards: base, inches, smaller

Workbook

Print these for the class. They carry your edits, and they print in black and white.

Four-inch square for the ordering step full page

Exploring Pyramids Around the World — Two Bases, Two Sizes

Four-inch square

Cut on the line. One square for each pair.

4 inches on each side
The five-inch and two-and-a-half-inch base squares, already drawn Support full page

Exploring Pyramids Around the World — Two Bases, Two Sizes

The two base squares, already drawn

Cut on the lines. The side length is written on each square.

5 inches on each side

 

2 and a half incheson each side
Word cards: base, inches, smaller card set

Exploring Pyramids Around the World — Two Bases, Two Sizes

Word cards

Cut along each line. One word on each card.


base


inches


smaller


Standards & curriculum

Choose your curriculum above to see the standards for this lesson.

Math through the reading

The mathematics is reached through a sentence the book prints: change one word in the reading and the numbers change with it. These carry their own standards, matched against these lessons rather than inherited from the skill ones.

6. The Word That Takes Two Inches Integrated · Students cut two inner squares from the same fourteen-inch square, one following each side and one following one side, and use the book's own next measurement to decide which word the builder meant.

Students cut two inner squares from the same fourteen-inch square, one following each side and one following one side, and use the book's own next measurement to decide which word the builder meant.

Full lesson — 20 minutes

  1. 1. Read the sentence two ways (4 min)

    Students read the book's instruction aloud from a strip, then read a second strip in which each side has become one side, and say in their own words what each version tells a builder's hands to do, before any ruler is picked up.

  2. 2. Cut both inner squares (5 min)

    From two fourteen-inch paper squares, students measure in one inch following each wording, from every side on the first square and from a single side on the second, and cut out the inner square each wording produces.

  3. 3. Measure what each wording left (5 min)

    Students measure both inner squares and write the two results, twelve inches and thirteen inches, saying the subtraction that made each one: fourteen take one and one more, and fourteen take one.

  4. 4. Check against the book's number and say why (6 min)

    Students set both squares beside the book's next instruction, point at the one that matches the twelve inches it names, and say the sentence that explains the difference: each takes an inch off both ends, so the width loses two inches and not one.

Short version — 9 minutes

  1. 1. Read the sentence two ways (4 min)

    Students read the book's instruction aloud from a strip, then read a second strip in which each side has become one side, and say in their own words what each version tells a builder's hands to do, before any ruler is picked up.

  2. 2. Cut both inner squares (5 min)

    From two fourteen-inch paper squares, students measure in one inch following each wording, from every side on the first square and from a single side on the second, and cut out the inner square each wording produces.

Three levels

Support
Your first square is already measured and cut to twelve inches. Put your time into the second wording: measure in one inch from one side only, cut, and measure what you get. Then say which of the two squares the book's sentence orders, and why.
At grade
Cut both inner squares from the two wordings, measure both, and say the sentence naming which one the book requires and why each costs two inches rather than one.
Extension
Find the second place this book leans on each, where the great pyramid's base is drawn at least five inches on each side. Say what a builder would produce if that sentence said one side instead, and put a measurement in your answer.

English learners

Each is a distributive word, and many languages carry that idea with a marker on the noun rather than a separate word in front of it, so a student may read each side and hear the side. That is not a decoding problem and it will not be fixed by slowing down: the word has to be tied to a motion. Have students say each side while their finger walks all four sides of the square, then one side while the finger stops. Rehearse the frame I measured in one inch from ___ side, so I took away ___ inches. Students may talk the two cuts through in their strongest language and give the frame in English.

Materials

  • Two sentence strips, the book's instruction and the same instruction with one side in place of each side
  • Two paper squares fourteen inches on each side, per pair
  • Ruler marked in inches
  • Safety scissors
  • Pencil
  • The book's next instruction, the one naming the twelve inch square, displayed where every pair can read it

Standards & curriculum

Choose your curriculum above to see the standards for this lesson.

IB PYP developmental alignment

Phases are not grades. The Primary Years Programme is a developmental continuum and your school places each student in a phase, so this names the strand the lesson works in and the phases it could sit across. Confirm against your own school's placement.

Measurement · Phases 1–3

Phase 1
Compare and describe measurable attributes of objects and sequence familiar events using direct experience and non-standard units.
Phase 2
Use standard units, estimation, measuring tools, calendars, money, temperature, and time to describe and solve practical problems.
Phase 3
Measure perimeter, area, and volume; select appropriate units and tools; interpret scales and develop angle as a measure of rotation.

Shape and space · Phases 1–3

Phase 1
Describe and compare 2D and 3D shapes and use everyday spatial language for position, direction, paths, regions, and boundaries.
Phase 2
Classify 2D and 3D shapes by properties; explore symmetry and transformations; interpret and create simple directions.
Phase 3
Analyze regular and irregular polygons, congruence, similarity, symmetry, angles, and coordinates and apply geometry to real situations.
7. The Number That Is Not on the Page Integrated · Students supply the triangle height for the Trans-America model, which the book never states, by reading the two sentences that send them back to the great pyramid instructions and doubling the number they find there.

Students supply the triangle height for the Trans-America model, which the book never states, by reading the two sentences that send them back to the great pyramid instructions and doubling the number they find there.

Full lesson — 20 minutes

  1. 1. Hunt for the missing measurement (5 min)

    Students read the Trans-America model instructions looking for a triangle height, report back that no number is given anywhere on the page, and mark the two sentences that tell them where to look instead.

  2. 2. Read the sentences that fund the number (4 min)

    Students read both sentences aloud, then turn back to the great pyramid instructions and read the height sentence there, writing three and a half inches on the build card with the sentence that supplied it beside it.

  3. 3. Double it and draw it (5 min)

    Students double three and a half inches, write seven on the card, and draw a triangle seven inches tall above a base line, measuring the finished height to prove it.

  4. 4. Say the number with its line (6 min)

    Students give the whole answer to a partner, first the number and then the sentence that produced it. A number offered without its sentence goes back, and so does a sentence offered without its number.

Short version — 9 minutes

  1. 1. Read the sentences that fund the number (4 min)

    Students read both sentences aloud, then turn back to the great pyramid instructions and read the height sentence there, writing three and a half inches on the build card with the sentence that supplied it beside it.

  2. 2. Double it and draw it (5 min)

    Students double three and a half inches, write seven on the card, and draw a triangle seven inches tall above a base line, measuring the finished height to prove it.

Three levels

Support
The three sentences you need are printed on your card already, in the order you will use them. Read all three aloud, then do the doubling and the drawing exactly as everyone else does: three and a half, and three and a half more, then a seven-inch triangle you measure to check.
At grade
Find the two sentences yourself, follow them back to the height, double it, draw the seven-inch triangle, and give both halves of the answer, the number and the line that funds it.
Extension
The book also says to keep the base measurements the same, and the great pyramid instructions ask for a square at least five inches on each side. Tell a partner why the height comes out to exactly one number while the base does not, and say what the book would have to add before the base could be pinned down the same way.

English learners

Two ordinary words are doing all the work in this lesson and neither one names a number: the same, which tells a reader to carry a value across unchanged, and double, which tells them to change it. Both are common English words with heavy mathematical loads, and many languages mark carrying-over and doubling with different structures than English uses, so a student can read every word here and still not know which number to write. Rehearse The book says ___, so I ___ the number. Three and a half doubled is ___. Encourage students to trace the reference and work the doubling in their strongest language, then read the two book sentences and give the number in English.

Materials

  • Build card with one line for the number and one line for the sentence
  • Ruler marked in inches
  • Pencil
  • Paper for the triangle
  • The Trans-America model instructions and the great pyramid model instructions, displayed side by side so both are readable at once

Standards & curriculum

Choose your curriculum above to see the standards for this lesson.

IB PYP developmental alignment

Phases are not grades. The Primary Years Programme is a developmental continuum and your school places each student in a phase, so this names the strand the lesson works in and the phases it could sit across. Confirm against your own school's placement.

Measurement · Phases 1–2

Phase 1
Compare and describe measurable attributes of objects and sequence familiar events using direct experience and non-standard units.
Phase 2
Use standard units, estimation, measuring tools, calendars, money, temperature, and time to describe and solve practical problems.

Shape and space · Phases 1–2

Phase 1
Describe and compare 2D and 3D shapes and use everyday spatial language for position, direction, paths, regions, and boundaries.
Phase 2
Classify 2D and 3D shapes by properties; explore symmetry and transformations; interpret and create simple directions.
8. Three Hundred Seventy-Three Feet, Said Both Ways Integrated · Students compute the exact difference between the two heights the book sets side by side and state the relation in both directions over a single diagram, then do the same with two measurements they cut themselves.

Students compute the exact difference between the two heights the book sets side by side and state the relation in both directions over a single diagram, then do the same with two measurements they cut themselves.

Full lesson — 20 minutes

  1. 1. Pull both heights out of the book (4 min)

    Students find and read aloud the two sentences that give the heights and write 853 and about 480 at the top of their grid paper.

  2. 2. Draw the two bars and find the gap (4 min)

    Students draw two bars on grid paper, the longer labelled 853 and the shorter 480, then subtract and label the length by which the longer bar runs past the shorter one: 373 feet.

  3. 3. Say it both ways over one diagram (5 min)

    Students write both sentences under the diagram, the building 373 feet taller and the pyramid 373 feet shorter, and say each aloud with a finger on the bar it names, checking that both sentences point at the same 373.

  4. 4. Do it with something you can hold (7 min)

    Students measure and cut the two model base squares, five inches and two and a half inches on a side, lay one on the other to find the difference, and say both directions again with the words that fit width: wider than and narrower than.

Short version — 9 minutes

  1. 1. Draw the two bars and find the gap (4 min)

    Students draw two bars on grid paper, the longer labelled 853 and the shorter 480, then subtract and label the length by which the longer bar runs past the shorter one: 373 feet.

  2. 2. Say it both ways over one diagram (5 min)

    Students write both sentences under the diagram, the building 373 feet taller and the pyramid 373 feet shorter, and say each aloud with a finger on the bar it names, checking that both sentences point at the same 373.

Three levels

Support
Your two bars are drawn and labelled 853 and 480 already. Find the 373 and fill both frames on your card, ___ is 373 feet taller than ___ and ___ is 373 feet shorter than ___, then say both aloud with a finger on each bar as you name it.
At grade
Find both heights, draw and label the bars, subtract for the difference, write and say both directions, then do the whole thing again with the two base squares you measure and cut yourself.
Extension
The book says the building is almost twice the height of the pyramid. Work out twice 480, set it beside 853, and tell a partner how almost twice and 373 feet taller can both be true of the same two numbers, and which of the two tells a builder more.

English learners

Comparative syntax is where this lesson will break for a multilingual student, and it will break after the arithmetic is already right. English marks comparison in three places at once, an ending on the adjective, the word than, and the order of the two nouns, and reversing the sentence changes the adjective while keeping than in place. Several languages mark the comparison on the second noun instead, or use one adjective where English needs taller and shorter, so a student can produce 373 correctly and then attach the wrong word to it. Drill the pair together, never singly: The building is 373 feet taller than the pyramid. The pyramid is 373 feet shorter than the building. Have the student point at the taller bar on the first sentence and the shorter bar on the second so the word changes hands with the finger. Students may work the subtraction and rehearse the pair in their strongest language before giving both sentences in English.

Materials

  • Grid paper
  • Pencil
  • Ruler marked in inches
  • Heavy paper for two base squares
  • Safety scissors
  • Sentence frame card carrying both directions, taller than and shorter than
  • The book's two height sentences, displayed one above the other

Standards & curriculum

Choose your curriculum above to see the standards for this lesson.

IB PYP developmental alignment

Phases are not grades. The Primary Years Programme is a developmental continuum and your school places each student in a phase, so this names the strand the lesson works in and the phases it could sit across. Confirm against your own school's placement.

Measurement · Phases 1–4

Phase 1
Compare and describe measurable attributes of objects and sequence familiar events using direct experience and non-standard units.
Phase 2
Use standard units, estimation, measuring tools, calendars, money, temperature, and time to describe and solve practical problems.
Phase 3
Measure perimeter, area, and volume; select appropriate units and tools; interpret scales and develop angle as a measure of rotation.
Phase 4
Use procedures and formulas for perimeter, area, and volume; convert units, determine required accuracy, and measure and construct angles.

Number · Phases 1–4

Phase 1
Develop meaning for counting, quantity, number relationships, simple operations, and early fractions in meaningful contexts.
Phase 2
Develop place value and whole-number operations, mental strategies, fractions, and mathematical language for practical problem solving.
Phase 3
Extend number understanding to larger numbers, fractions, decimals, percentages, and efficient strategies for the four operations.
Phase 4
Apply whole-number, fraction, decimal, percentage, ratio, and proportion concepts with increasingly efficient and flexible computation.

Reading and language lessons

5 lessons on the reading and language the book carries - what a word means in its sentence, how a character is shown, how a text is built. No mathematics: these are matched against the English language arts curricula, which are a different and smaller set than the mathematics ones.

9. What the book stops to tell you Vocabulary · Using a text's own definition sentences to fix the meaning of a domain word

This book explains its own hard words in the sentence right after it uses them, four times in a row for faces, edges, vertex and base, and once more for mastaba. Students read those runs, underline the exact stretch that carries each meaning, write the meaning onto a card in the book's own words, and mark a card NOT DEFINED HERE when the text never supplies one. They finish by explaining one word out loud to a partner who has not read the passage, which is where you hear whether the meaning stuck or whether the student is repeating a string.

Full lesson — 20 minutes

  1. 1. Underline what the book says a face is (5 min)

    Read the printed run aloud with a partner, one sentence each. Underline the word faces and then underline the whole stretch that tells you what a face is. Say to your partner, in your own words, what a face is, and point at the words that let you say it.

    Word preview: faces, edges, vertex, base

    Pyramids, cubes, and most other 3D shapes have sides called faces. Faces are flat surfaces that meet at the edges of the shape. The point or corner where three or more edges meet is called a vertex. The base is the bottom of the object.
  2. 2. Sort the four words by how the book defines them (6 min)

    Write faces, edges, vertex and base on four cards. For each card, copy from the printed run the exact words that give its meaning, and if the book never gives one, write NOT DEFINED HERE on the card. Lay the cards in the order the passage introduces the words. Tell your group which card was hardest to fill and why.

    Word preview: faces, edges, vertex, base

    Pyramids, cubes, and most other 3D shapes have sides called faces. Faces are flat surfaces that meet at the edges of the shape. The point or corner where three or more edges meet is called a vertex. The base is the bottom of the object.
  3. 3. Catch a second word the book stops to explain (5 min)

    Read the printed run about the first tomb design. Find the sentence that stops the explanation to tell you what one word means, and read that sentence aloud. Then say what the writer expected you not to know, and what clue words told you a meaning was coming.

    Word preview: mastaba, sloping

    His first design for Joseph's tomb was a large mastaba, which was the kind of tomb that had been used in Egypt for many years. The word mastaba means bench. These ancient tombs looked like stone benches with sloping sides.
  4. 4. Explain one shape word to somebody who has not read it (4 min)

    Pick one of your five cards. Without showing the card, tell a partner what the word means and use one thing in the room as your example. Your partner writes the word they think you described. Swap and repeat with a different word.

    Word preview: faces, edges, vertex, base, mastaba, sloping

Short version — 9 minutes

  1. 1. Underline what the book says a face is (5 min)

    Read the printed run aloud with a partner, one sentence each. Underline the word faces and then underline the stretch that tells you what a face is. Say what a face is in your own words and point at the words that let you say it.

    Word preview: faces, edges, vertex, base

    Pyramids, cubes, and most other 3D shapes have sides called faces. Faces are flat surfaces that meet at the edges of the shape. The point or corner where three or more edges meet is called a vertex. The base is the bottom of the object.
  2. 2. Catch a second word the book stops to explain (4 min)

    Read the printed run about the first tomb design. Find and read aloud the one sentence that stops to tell you what a word means. Say what the writer expected you not to know.

    Word preview: mastaba, sloping

    His first design for Joseph's tomb was a large mastaba, which was the kind of tomb that had been used in Egypt for many years. The word mastaba means bench. These ancient tombs looked like stone benches with sloping sides.

Three levels

Support
Work with two cards only, faces and base, and stay inside the shape words run in the first step. Read the sentence, then read it again stopping at the comma-free clause that carries the meaning, and copy that clause onto the card word for word before saying it your own way.
At Grade
Fill all four cards from the shape words run and the fifth from the mastaba run, copying the book's words first and writing your own wording underneath.
Extension
The printed shape words run defines a vertex by what meets there and a base by where it sits. Write which of the two definitions would still work if the shape were turned upside down, and point to the words in the passage that make you say so.

English learners

Face, base and vertex all have everyday English uses a student may already carry - a face is a person's face, a base is the bottom of anything, and vertex will be new to nearly everyone. Say aloud that in this book face names a flat surface, not a person's face. The rehearsable frame is: In this book, a ___ is a ___, because it says ___. Invite students to give the meaning first in their strongest language and then read the book's clause in English before saying it their own way.

Materials

  • Printed passage: the shape words run
  • Pencils
  • Word-meaning cards
  • Printed passage: the mastaba run
  • Word cards: faces, edges, vertex, base, mastaba, sloping

Standards & curriculum

Choose your curriculum above to see the standards for this lesson.

10. Two pyramids, one chart Comprehension · Comparing what a text says about two subjects across separate sections

The book returns three times to the same question, how one group's pyramids differ from Egypt's, and each time it answers in a different section. Students read three printed runs, collect what each one actually claims into a two-column chart, and leave a box empty rather than guessing when the passage in front of them is silent. The language work is the joining words - while, However, Like, Both - which is how this writer signals that a comparison is happening, and students must use one when they say their own likeness and difference aloud.

Full lesson — 20 minutes

  1. 1. Read the two-sided sentence and name both sides (5 min)

    Read the printed run about the pyramids of Mexico and Central America. Find the one sentence that talks about two places at once, and circle the word that joins the two halves. Say which half is about Egypt and which half is about Mexico and Central America.

    Word preview: while, however, limestone, temples

    These pyramids were built centuries after the Egyptian pyramids as temples for honoring gods. The Maya, Aztecs, and other Native Americans built huge pyramids in Mexico and Central America. Many of these pyramids were topped by temples where religious ceremonies took place. The pyramids of Mexico and Central America were made with many different kinds of stone, while Egyptian pyramids were made only from limestone.
  2. 2. Fill two columns from two different pages (6 min)

    Head one column of your chart In Egypt and the other Somewhere else. Read the printed Nubia run and write into the chart what it says about size and about how steep the sides are. Write only what the passage actually says; if a box has no evidence in front of you, leave it empty and say so out loud.

    Word preview: however, steeper, tombs

    Like the Egyptian pyramids, Nubian pyramids were also built as tombs for rulers and court officials. However, the Nubian pyramids were much smaller than the Egyptian pyramids, and their sides were much steeper. The Nubian pyramids had special temples built around them. The temples were places to pray and leave gifts to honor the dead rulers and officials who were buried inside the pyramids.
  3. 3. Add a third pyramid to the same chart (5 min)

    Read the printed Aztec run and add its row to the same chart. Underline the sentence that compares Aztec and Mayan pyramids to each other, and the sentence that compares both of them to Egyptian pyramids. Tell your partner which sentence needed a page you had already read.

    Word preview: steeper, temples

    The Aztecs used their pyramids for religious ceremonies. These pyramids had two large staircases leading up to the temple at the top. The levels, or steps, of the pyramid are much taller than those of a Mayan pyramid, and there are fewer of them. Both Aztec and Mayan pyramids were much smaller than Egyptian pyramids.
  4. 4. Say one likeness and one difference out loud (4 min)

    Using your chart, say one sentence naming a likeness between Egyptian pyramids and one other kind, and one sentence naming a difference. Each sentence must use a joining word and must be backed by a line you wrote in the chart. Your partner points to the chart box you used.

    Word preview: while, however, limestone, steeper, tombs, temples

Short version — 9 minutes

  1. 1. Read the two-sided sentence and name both sides (5 min)

    Read the printed run about the pyramids of Mexico and Central America. Circle the word that joins two places inside one sentence. Say which half of that sentence is about Egypt.

    Word preview: while, limestone, temples

    These pyramids were built centuries after the Egyptian pyramids as temples for honoring gods. The Maya, Aztecs, and other Native Americans built huge pyramids in Mexico and Central America. Many of these pyramids were topped by temples where religious ceremonies took place. The pyramids of Mexico and Central America were made with many different kinds of stone, while Egyptian pyramids were made only from limestone.
  2. 2. Fill two columns from two different pages (4 min)

    Head one column In Egypt and the other Somewhere else. Read the printed Nubia run and fill in what it says about size and steepness. Leave a box empty if the passage in front of you does not say.

    Word preview: however, steeper, tombs

    Like the Egyptian pyramids, Nubian pyramids were also built as tombs for rulers and court officials. However, the Nubian pyramids were much smaller than the Egyptian pyramids, and their sides were much steeper. The Nubian pyramids had special temples built around them. The temples were places to pray and leave gifts to honor the dead rulers and officials who were buried inside the pyramids.

Three levels

Support
Work only the printed Nubia run in the second step and fill one row, size. Read to the word However, stop, and say what changed after it. Write the two words much smaller in the Other column and the word Egyptian above the box it is smaller than.
At Grade
Fill both columns from all three printed runs and use a joining word in each of your two spoken sentences.
Extension
Two of the printed runs say another group's pyramids were steeper than Egypt's. Write whether the book ever explains why steepness differs, and if it does not, write the question you would need answered, using only what the printed runs put in front of you.

English learners

Comparison in English leans on words that do not translate one to one - while can mean at the same time or in contrast, and here it means in contrast. However at the front of a sentence signals the turn before any content arrives, which is a habit worth naming. The rehearsable frame is: ___ pyramids were ___, while ___ pyramids were ___. Let students sort the chart in their strongest language first, then speak the frame in English.

Materials

  • Printed passage: the Mexico and Central America run
  • Pencils
  • Printed passage: the Nubian pyramids run
  • Two-column comparison chart
  • Printed passage: the Aztec pyramids run
  • Word cards: while, however, limestone, steeper, tombs, temples

Standards & curriculum

Choose your curriculum above to see the standards for this lesson.

11. Seven moves, one order Comprehension · Retelling the steps of a written procedure in order, using sequence words

The step pyramid instructions are seven moves in a fixed order, and the book signals that order in its own wording - On the first sheet, then Now twice over. Students number the moves, then deliberately swap two strips and read the broken version aloud until somebody says which move became impossible and points to the sentence that proves it. The retell is done with the passage face down and every move opened by a when-word, so the sequence has to live in the student's language and not on the page.

Full lesson — 20 minutes

  1. 1. Number the moves in the order the book gives them (5 min)

    Read the printed how-to run one sentence at a time and write the numbers 1 to 7 beside the seven moves. Circle every word that tells you when a move happens. Read your numbered list back to a partner and see whether the two lists match.

    Word preview: first, now, then, measure, fold

    On the first sheet, draw a square that is 14 inches on each side. Cut out the square. Now measure in one inch from each side of the square and draw a square that is 12 inches on each side. Draw lines to join the corners of the inner square to the outer corners. Cut along those lines. Now fold the edges under to form gently sloping sides. Tape the edges where the sloping sides meet.
  2. 2. Break the order on purpose and say what fails (6 min)

    Cut your sequence strips apart and swap two of them. Read the broken order aloud to a partner exactly as it now stands. Say which move became impossible and which sentence in the printed run proves it, then put the strips back in the book's order.

    Word preview: first, now, then

    On the first sheet, draw a square that is 14 inches on each side. Cut out the square. Now measure in one inch from each side of the square and draw a square that is 12 inches on each side. Draw lines to join the corners of the inner square to the outer corners. Cut along those lines. Now fold the edges under to form gently sloping sides. Tape the edges where the sloping sides meet.
  3. 3. Retell the how-to without reading it (5 min)

    Turn the printed run below face down. Retell all seven moves to a partner in order, starting every move with a word that tells when - first, next, then, after that, last. Your partner holds the sequence strips and lays one down each time you name its move, then turns the passage back over so you can check the order together.

    Word preview: first, now, then, measure, fold

    On the first sheet, draw a square that is 14 inches on each side. Cut out the square. Now measure in one inch from each side of the square and draw a square that is 12 inches on each side. Draw lines to join the corners of the inner square to the outer corners. Cut along those lines. Now fold the edges under to form gently sloping sides. Tape the edges where the sloping sides meet.
  4. 4. Find the sentence that explains why the shape works (4 min)

    Read the printed run about the six stacked tombs. Say which sentence tells you the reason the stack ends up looking like a pyramid, and read it aloud. Then say which of your seven moves in the how-to is the one that makes each layer smaller.

    Word preview: mastabas, stacked

    He designed a tomb that looked like six mastabas stacked on top of each other. Each mastaba was smaller than the one below it. This made a pyramid shape.

Short version — 9 minutes

  1. 1. Number the moves in the order the book gives them (5 min)

    Read the printed how-to run one sentence at a time and number the seven moves. Circle every word that tells you when a move happens. Read the numbered list back to a partner.

    Word preview: first, now, then, measure, fold

    On the first sheet, draw a square that is 14 inches on each side. Cut out the square. Now measure in one inch from each side of the square and draw a square that is 12 inches on each side. Draw lines to join the corners of the inner square to the outer corners. Cut along those lines. Now fold the edges under to form gently sloping sides. Tape the edges where the sloping sides meet.
  2. 2. Break the order on purpose and say what fails (4 min)

    Swap two sequence strips and read the broken order aloud. Name the move that became impossible and the sentence in the printed run that proves it. Put the strips back in order.

    Word preview: first, now, then

    Now measure in one inch from each side of the square and draw a square that is 12 inches on each side. Draw lines to join the corners of the inner square to the outer corners. Cut along those lines. Now fold the edges under to form gently sloping sides. Tape the edges where the sloping sides meet.

Three levels

Support
Number only the first four moves of the printed how-to run in the first step, and lay one strip per move as you go. Say the strip aloud before you set it down. Add the last three moves once the first four are in order without help.
At Grade
Number all seven moves, break the order once, and retell the whole procedure face down using a when-word on every move.
Extension
Two moves in the printed run open with the word Now and one opens with On the first sheet. Write whether any pair of moves in the run could be swapped without breaking anything, and name the sentence that decides it either way.

English learners

Sequence words are the transferable part here and most students have them in their strongest language already; English, though, marks a step's place with a word at the very front of the sentence, before the verb arrives. The rehearsable frame is: First you ___, then you ___, and last you ___. Let students rehearse the seven moves in their strongest language while laying strips, then speak the frame in English.

Materials

  • Printed passage: the step pyramid how-to run
  • Pencils
  • Sequence strips
  • Scissors
  • Printed passage: the stacked mastabas run
  • Word cards: first, now, then, measure, fold, mastabas, stacked

Standards & curriculum

Choose your curriculum above to see the standards for this lesson.

12. One sentence for the whole section Comprehension · Determining the main idea of a section and naming the details that support it

The Trans-America section is a clean main-idea test because every sentence in it points the same way and none of them says the idea outright. Students write one sentence that covers the whole run, then line three details up under it and have to either drop a detail or rewrite the sentence when the two do not hold together. The third step hands them the run that comes before and asks whether the sentence survives it, which is the move that separates a main idea from a summary of the first line.

Full lesson — 20 minutes

  1. 1. Say what the whole run is mostly about (5 min)

    Read the printed run about the modern building and say, in one sentence, what the whole run is mostly about. It must be one sentence, and it must cover every sentence in the run, not just the one you liked best. Try it twice and keep the shorter one.

    Word preview: modern, machinery, estimated

    The Trans-America Building is made from stone, concrete, glass, and steel. It is 853 feet tall, almost twice the height of the great pyramid at Giza. An estimated 10,000 to 100,000 people were needed to build the great pyramid, and it probably took about 30 years to build. Because of modern machinery and materials, the Trans-America Building was built in less than three years by only about 1,500 people.
  2. 2. Line up the details under it (6 min)

    Write your one sentence at the top of the organizer. Underneath, copy three details from the printed run and, beside each, write how it holds your sentence up. If a detail does not hold your sentence up, either drop the detail or change the sentence, and say aloud which you chose.

    Word preview: modern, machinery, estimated

    The Trans-America Building is made from stone, concrete, glass, and steel. It is 853 feet tall, almost twice the height of the great pyramid at Giza. An estimated 10,000 to 100,000 people were needed to build the great pyramid, and it probably took about 30 years to build. Because of modern machinery and materials, the Trans-America Building was built in less than three years by only about 1,500 people.
  3. 3. Test your sentence against the run that comes before (5 min)

    Read the printed run about the man who wanted sunlight on the street. Hold it against the main-idea sentence you wrote and say whether it still fits, needs widening, or belongs to a different idea. Write the version you end up with on the organizer and cross out the old one without erasing it.

    Word preview: sunlight, downtown

    In 1968, a man named John Beckett gave the United States its very own pyramid. One day, Beckett noticed how beautifully the sun shone through the trees in a city park in San Francisco, California. He decided to create a building that would allow sunlight to reach the street below in the same way. Today, a modern pyramid stands in downtown San Francisco, the Trans-America Building.
  4. 4. Give the section a heading of your own (4 min)

    Read the printed sentence below and notice that it never names any building at all. Write a heading of no more than five words that would fit that sentence and everything else you have read in this lesson. Read the heading to your group and have them say which sentence of yours it came from, and keep it only if somebody can point at a sentence.

    Word preview: modern, machinery, estimated, sunlight, downtown

    Modern building materials and machinery have allowed architects to create buildings that are taller and bigger than the pyramids of long ago.

Short version — 9 minutes

  1. 1. Say what the whole run is mostly about (5 min)

    Read the printed run about the modern building and say in one sentence what the whole run is mostly about. It must cover every sentence in the run. Say it twice and keep the shorter version.

    Word preview: modern, machinery, estimated

    The Trans-America Building is made from stone, concrete, glass, and steel. It is 853 feet tall, almost twice the height of the great pyramid at Giza. An estimated 10,000 to 100,000 people were needed to build the great pyramid, and it probably took about 30 years to build. Because of modern machinery and materials, the Trans-America Building was built in less than three years by only about 1,500 people.
  2. 2. Line up the details under it (4 min)

    Write your one sentence at the top of the organizer and copy two details from the printed run underneath it. Beside each detail, say how it holds the sentence up. Drop any detail that does not.

    Word preview: modern, machinery, estimated

    It is 853 feet tall, almost twice the height of the great pyramid at Giza. An estimated 10,000 to 100,000 people were needed to build the great pyramid, and it probably took about 30 years to build. Because of modern machinery and materials, the Trans-America Building was built in less than three years by only about 1,500 people.

Three levels

Support
Stay with the printed Trans-America run in the first step and write the main-idea sentence from a frame: This part is mostly about ___. Fill the blank with words you can point to in the passage, then add one detail underneath before adding any more.
At Grade
Write the sentence unframed, support it with three details, and revise it once against the second printed run.
Extension
Your main-idea sentence has to cover the printed run about the man and the sunlight as well as the run about the building. Write the one sentence that covers both, then write what you had to leave out of it and why leaving it out was fair.

English learners

Main idea is a school phrase, not an everyday one, and mostly about is the part that carries the work - it means what the whole section is about, not what is mentioned most often. Say that distinction out loud. The rehearsable frame is: This part is mostly about ___, and I know because it says ___. Invite students to state the idea in their strongest language first, then find the English words in the passage that back it.

Materials

  • Printed passage: the Trans-America Building run
  • Main idea and details organizer
  • Pencils
  • Printed passage: the John Beckett run
  • Printed passage: the modern materials sentence
  • Word cards: modern, machinery, estimated, sunlight, downtown

Standards & curriculum

Choose your curriculum above to see the standards for this lesson.

13. The writer asks, the book answers Comprehension · Tracking the questions a writer poses and locating where the text answers them

This writer opens the history section by asking two questions outright and then spends later sections answering one of them well and the other barely at all. Students mark the two question sentences, then go hunting through two printed runs with a log that only accepts three marks - ANSWERED, PART, NOT HERE - so a student who cannot find an answer has somewhere honest to put that. The last step turns a PART or a NOT HERE into a question of the student's own, which is where you hear whether they were reading for an answer or reading for a matching word.

Full lesson — 20 minutes

  1. 1. Find the questions the writer asks you (5 min)

    Read the printed run about the pyramids of ancient Egypt and mark every sentence that ends in a question mark. Read those sentences aloud to a partner in the writer's voice. Say who the writer expects to answer them, and point to the sentence that tells you.

    Word preview: purpose, enormous, civilizations

    The pyramids of ancient Egypt have amazed people for thousands of years. Egypt is a country in Africa and was home to one of the oldest civilizations in the world. How did the ancient Egyptians build such enormous structures? What was the purpose of the pyramids? Over the years, many people have tried to figure out the answers to these questions.
  2. 2. Hunt down the answer to one of them (6 min)

    Take the question about purpose and read the printed run about tombs. Write on your log the exact sentence that answers it, and write ANSWERED beside it. If a sentence only partly answers, write PART and say aloud what is still missing.

    Word preview: purpose, tombs, officials

    The pyramids were built as tombs for ancient Egyptian rulers and court officials. Ancient Egyptians believed that a person's soul, which they called the Ka, continued to live after the body died. They filled the pyramids with treasures and everyday things that they believed the dead person would need in the next life.
  3. 3. Decide whether the second question ever gets answered (5 min)

    Read the printed run about what rulers were buried with. Ask whether it answers how the Egyptians built such enormous structures, and write ANSWERED, PART or NOT HERE on your log. Defend your mark to a partner using one sentence from the printed run.

    Word preview: enormous, officials

    Rulers were buried in their great pyramids with gold, furniture, clothing, and other things they would need in the next world. The burial chambers of many of the ancient pyramids were built to look like the inside of a royal palace, so the ruler's spirit would feel at home.
  4. 4. Write the question the book leaves you holding (4 min)

    Look at any line on your log marked PART or NOT HERE and write it as a question of your own, ending in a question mark. Model it on the two question sentences in the printed run below, so yours starts the way a writer's question starts. Read it aloud, and your group says whether the printed run in front of them could answer it.

    Word preview: purpose, enormous, civilizations, tombs, officials

    The pyramids of ancient Egypt have amazed people for thousands of years. Egypt is a country in Africa and was home to one of the oldest civilizations in the world. How did the ancient Egyptians build such enormous structures? What was the purpose of the pyramids? Over the years, many people have tried to figure out the answers to these questions.

Short version — 9 minutes

  1. 1. Find the questions the writer asks you (5 min)

    Read the printed run about the pyramids of ancient Egypt and mark every sentence ending in a question mark. Read those sentences aloud in the writer's voice. Say who the writer expects to answer them.

    Word preview: purpose, enormous, civilizations

    The pyramids of ancient Egypt have amazed people for thousands of years. Egypt is a country in Africa and was home to one of the oldest civilizations in the world. How did the ancient Egyptians build such enormous structures? What was the purpose of the pyramids? Over the years, many people have tried to figure out the answers to these questions.
  2. 2. Hunt down the answer to one of them (4 min)

    Take the question about purpose and read the printed run about tombs. Write on your log the exact sentence that answers it and mark it ANSWERED. Mark it PART instead if something is still missing, and say what.

    Word preview: purpose, tombs, officials

    The pyramids were built as tombs for ancient Egyptian rulers and court officials. Ancient Egyptians believed that a person's soul, which they called the Ka, continued to live after the body died. They filled the pyramids with treasures and everyday things that they believed the dead person would need in the next life.

Three levels

Support
Work only the question about purpose and only the printed tombs run in the second step. Read the run one sentence at a time and after each sentence say yes or no to: does this tell me what pyramids were for? Copy the first sentence you said yes to.
At Grade
Track both questions across all three printed runs and mark each line ANSWERED, PART or NOT HERE with a sentence to defend it.
Extension
One of the writer's two questions is answered squarely by the printed runs and one is not. Write which is which, and write what a writer would have had to put on the page for the second one to count as answered.

English learners

English marks a question with a question mark at the end and with word order that flips the helping verb to the front - How did the ancient Egyptians build - which is a reversal many languages do not use. Read the two question sentences aloud with rising intonation and point at the mark. The rehearsable frame is: The writer asks ___, and the book answers it here, where it says ___. Let students say what they found in their strongest language before reading the English sentence they found it in.

Materials

  • Printed passage: the ancient Egypt questions run
  • Question and answer log
  • Pencils
  • Printed passage: the tombs run
  • Printed passage: the burial chambers run
  • Word cards: purpose, enormous, civilizations, tombs, officials

Standards & curriculum

Choose your curriculum above to see the standards for this lesson.

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