Grade 2
4 skill lessons
Math
Skill lessons
The mathematics the book carries, taught directly. Each lesson has printable workbook pages and a separate teacher key.
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.
No math-through-reading lessons for this book yet.
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.
4 lessons on the mathematics the book carries. Each lesson has printable workbook pages and a separate teacher key.
The book states the whole idea in two sentences: even numbers can be grouped by twos, odd numbers cannot. Students turn those sentences into a physical test and run every set the book names through it, six jacks, five jacks, four cars, three oranges, eight triangles, five squares. Even and odd stop being labels to remember and become the outcome of a test anyone can run.
1. The book's rule (4 min)
Read the two printed rule sentences. Ask what grouped by twos would look like on a desk, and let students show with four counters: two pairs, nothing alone. Then five counters: two pairs and one alone. Name the two outcomes with the book's words, even and odd.
Word preview: even, odd, pairs
Even numbers can be grouped by twos.
Odd numbers cannot be grouped by twos.
2. Test the book's sets (8 min)
Work through the sets the book names. Build each in counters and run the pair test. Six jacks, five jacks, four red cars, five blue cars. Four apples, three oranges, eight triangles. Five squares, three purple balls, six happy-face balls. For each set students say the verdict with its reason: five is odd, one is left alone.
3. Leftover means odd (4 min)
Focus the reason: the test never asks how big the number is, only whether someone is left without a partner. Students take any odd set from the round. Point at the single leftover counter. Say the book's sentence for it: this number cannot be grouped by twos.
4. Sort the numbers (4 min)
Students write the numbers they tested into a two-column chart headed even and odd. Enter each number only after its pair test has been run. Read one column aloud to finish. The chart is collected as the record of the testing.
1. The book's rule (3 min)
Read the two printed rule sentences and show both outcomes with counters: four makes two pairs, five leaves one alone.
Word preview: even, odd, pairs
Even numbers can be grouped by twos.
2. Test the book's sets (6 min)
Build and pair-test five of the book's sets, six jacks, five jacks, four apples, three oranges, eight triangles, saying each verdict with its reason.
Even and odd are arbitrary English labels, but pair and left over are visible on the desk, so anchor the labels to the physical outcomes rather than to definitions. The verdict sentence has a fixed frame, blank is even because everyone has a partner, blank is odd because one is left alone, and a student may run the test and point silently while the English frame is still settling.
Name: ______________________________
Even numbers can be grouped by twos.
Odd numbers cannot be grouped by twos.
Write each number on this page after you run the pair test on it.
Build each set with counters and run the pair test.
Say the verdict and the reason.
Cut on the box edges. One word to a card.
Even column: 6, 4, 4, 8, 6. Odd column: 5, 5, 3, 5, 3.
A student who enters each number once rather than once per set is also correct: even 4, 6, 8 and odd 3, 5.
A close response gives the verdict with its reason, in the form five is odd, one is left alone. A loose response gives the label by itself, or reasons from the colour or the kind of object rather than from the leftover.
Where the chart and the counters disagree, the pair test settles it: rebuild the set and count the leftover.
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Once the pair test is understood, the answers deserve to get quick. Students classify numbers within ten in rapid rounds, first with counters, then from the picture in their head, always keeping the test available as the settling move for any disagreement.
1. Warm pairs (4 min)
Rebuild the test at speed. The teacher says a number within six. Students build and pair it. The whole class says the verdict together with the reason word: pairs or leftover. Three numbers, one minute each, no writing.
Word preview: verdict
2. Card rounds (8 min)
The teacher flashes number cards within ten. Students build, pair, and call the verdict in pairs, alternating who answers first. Every fourth card, the answering student must also say the reason sentence in full: seven is odd because one is left alone. Cards repeat until the builds are barely needed.
3. No counters round (4 min)
Counters go away. The teacher flashes the same cards; students answer from the picture in their head. Any disputed answer comes back to the desk and gets settled by the pair test, which is the referee, not a punishment.
4. Prove one (4 min)
Each student picks one number they answered fast, builds it one last time, and shows a neighbor the pairs or the leftover, saying the full sentence. The lesson ends with every fast answer anchored back to the test that makes it true.
1. Warm pairs (3 min)
Build and pair three numbers within six at speed, saying each verdict with its reason word.
Word preview: verdict
2. Card rounds (6 min)
Flash number cards within ten; students build, pair, and call verdicts in pairs, saying the full reason sentence on every fourth card.
The rounds run on two words, even and odd, plus one rehearsed reason sentence, which makes this lesson a genuinely fair speed game for a student new to English: the mathematics and the verdict words carry everything, and the counters resolve any misunderstanding without a paragraph of explanation. Pair students so the first answerer alternates and no one is always translating under time pressure.
Cut on the box edges. Flash one card at a time.
Cut on the box edge.
On every fourth card the answering student says it in full, in the form seven is odd because one is left alone.
A close response names what the counters showed, the pairs or the one left alone. A loose response is the label alone, or a guess corrected after hearing a neighbour. A disputed answer is not marked wrong at the flash; it goes back to the desk and the pair test settles it.
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Still-life groups get classified in the book; this lesson sets the groups in motion. Starting from the book's four apples, students add one counter at a time, predicting the verdict before each pair test and watching the answer flip on every step. The discovery is a structure claim, not a fact: one more always changes the answer, because the newcomer either finds a partner or becomes the leftover.
1. Start even (4 min)
Build the book's four apples and run the pair test as a warm-up: two pairs, even. Ask the prediction question of the day: if one more apple joins, what happens to the verdict. Collect predictions with reasons before anything is built.
Word preview: predict, flip
There is an even number of apples. The apples can be grouped by twos.
2. Add one and test (6 min)
Add the fifth counter and run the test: two pairs and one alone, odd. Then keep going, one counter at a time to nine, always predicting first, then testing. After each test students record the verdict letter in a row: E, O, E, O, E, O.
3. Why it must flip (6 min)
Ask why the row alternates with no exceptions. Students act the two cases with counters. When the group is odd, the newcomer partners the leftover and everyone pairs. When the group is even, the newcomer has no one and becomes the leftover. Pairs rehearse saying both cases with the counters moving.
4. Say the always (4 min)
Each pair states the rule as an always sentence: adding one always flips even and odd. Then answer one teacher probe without building. Four apples were even, so what are four apples and one more? The verdict strips are collected with the rule written under the row.
1. Add one and test (6 min)
Start from four built counters, add one at a time to eight, predicting before each pair test and recording the verdict letters: E, O, E, O, E.
2. Why it must flip (3 min)
Act the two newcomer cases with counters, partner the leftover or become the leftover, and say the always sentence once.
The prediction can be shown before it can be said, thumbs to the even side or the odd side, so no student waits on English to participate in the reasoning. The two newcomer cases are small physical dramas, finds a partner, stands alone, and acting them while saying the words gives the always sentence something concrete to hold onto.
There is an even number of apples. The apples can be grouped by twos.
Names: ______________________________
Predict first, then run the pair test. Write E or O for each group.
4 ______ 5 ______ 6 ______ 7 ______ 8 ______ 9 ______
Write the always sentence under the row.
Cut on the box edges. One word to a card.
4 is E, 5 is O, 6 is E, 7 is O, 8 is E, 9 is O.
Adding one always flips even and odd. Accept any wording that carries always and both words, such as one more always changes even to odd and odd to even.
Four apples were even, so four apples and one more is five, which is odd.
A close response defends the row with the newcomer: when the group is odd the newcomer partners the leftover, and when the group is even the newcomer has no one and becomes the leftover. A loose response says only that the letters take turns, which describes the row without explaining it.
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The pair test has a second face: try to arrange the group as two equal rows. Even numbers make a clean rectangle, odd numbers always bulge. Students build the book's sets as double rows, draw the ones that work and the ones that bulge, and label each drawing with its number and verdict, producing a page where the shape of the arrangement carries the mathematics.
1. Two-row build (5 min)
Build six as two rows of three, matched one above the other. Read the printed sentence about the purple balls and connect: grouped by twos and two equal rows are the same test lying down. Build five the same way and watch the bulge appear.
Word preview: rows
There is an odd number of purple balls. The purple balls cannot be grouped by twos.
2. The stubborn five (5 min)
Give five one honest chance: students try every arrangement they can think of to make five into two equal rows without breaking a counter. The failure is the point, and it gets said precisely: five cannot make two equal rows, one row is always longer.
3. Draw and label (6 min)
Each student draws three of the book's numbers as two-row pictures, at least one even and one odd, drawing the bulge where it happens. Under each picture goes the number and the verdict word. A stranger reading the page should get the verdicts from the shapes alone.
4. Gallery check (4 min)
Pages go face up; partners read each other's drawings verdict-first, saying what the shape shows before checking the label. A drawing whose shape and label disagree goes back to the counters and gets rebuilt, then redrawn.
1. Two-row build (4 min)
Build six as two matched rows of three, then five, and name what the bulge means using the printed sentence about the purple balls.
Word preview: rows
There is an odd number of purple balls. The purple balls cannot be grouped by twos.
2. Draw and label (5 min)
Draw two of the book's numbers as two-row pictures, one even and one odd with its bulge, labeled with number and verdict.
This lesson's evidence is shapes on a page: a rectangle or a bulge, readable in any language. The gallery check asks for one spoken pattern, the shape shows blank so the number is blank, which pairs can rehearse before the walk. Verdict-first reading protects a student whose English label lags their completely correct drawing.
There is an odd number of purple balls. The purple balls cannot be grouped by twos.
Name: ______________________________
Draw three of the book's numbers as two rows. Draw the bulge where it happens.
Under each picture write the number and the verdict word.
Number: ________ Verdict: ________
Number: ________ Verdict: ________
Number: ________ Verdict: ________
Cut on the box edge.
An even number makes two equal rows, matched one above the other, with no bulge. An odd number cannot: one row is always longer by one.
Any of the book's set sizes is an acceptable choice, provided at least one drawing is even and one is odd.
A close drawing can be read verdict-first: the shape gives the answer before the label is seen, and the bulge sits at the end of the longer row. A loose drawing scatters the counters so the two rows cannot be matched, or carries a label that disagrees with the shape. A drawing whose shape and label disagree goes back to the counters and gets rebuilt, then redrawn.
One or more pages for this lesson were held back. The lesson names a set larger than it spells out — a deck of cards, a row of strips — and the missing items were not invented to fill it.
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3 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.
The book teaches its two key words by contrast: even and odd are defined against each other, and the definitions differ by a single word, can versus cannot. Students read the two rule sentences side by side, find the one word that is different, and say what that word does to the meaning. They then use the same can and cannot wording to talk about a later page. The vocabulary work is finding meaning from the surrounding sentence, not counting anything.
1. Read the two rule sentences aloud (5 min)
Read the printed passage aloud with a partner, one sentence each, then swap and read it again. Put a finger on the word even the first time you say it and on the word odd the first time you say it. Say the two words back to your partner without looking.
Word preview: even, odd
Even numbers can be grouped by twos. even six jacks. Odd numbers cannot be grouped by twos.
2. Circle the word that is different (6 min)
Look at the two rule sentences in the printed passage. Almost every word is the same in both. Circle the one word that is different, then tell your partner what that word does: it turns the sentence from a yes into a no.
Word preview: can, cannot
Even numbers can be grouped by twos. even six jacks. Odd numbers cannot be grouped by twos.
3. Build the can and cannot chart (5 min)
Copy the two rule sentences onto the class chart, the can sentence in the left column and the cannot sentence in the right. Read your column aloud when the teacher points to it. Say which word told you where your sentence belonged.
Even numbers can be grouped by twos. even six jacks. Odd numbers cannot be grouped by twos.
4. Say the rule for a new page (4 min)
Read the printed passage about the squares. Find the sentence in it that uses cannot and read it aloud. Then say out loud which column of the chart that sentence would go in, and why that one word put it there.
Which group of shapes has an odd number? 8 red triangles 5 Yellow Squares There is an odd number of squares. The squares cannot be grouped by twos.
1. Read the two rule sentences aloud (4 min)
Read the printed passage aloud with a partner, one sentence each. Put a finger on even and then on odd as you say them.
Word preview: even, odd
Even numbers can be grouped by twos. even six jacks. Odd numbers cannot be grouped by twos.
2. Circle the word that is different (5 min)
Circle the one word that is not the same in the two rule sentences. Tell your partner what that word does to the meaning.
Word preview: can, cannot
Even numbers can be grouped by twos. even six jacks. Odd numbers cannot be grouped by twos.
Even and odd carry no cognate help and both are short, so front-load them as a spoken pair before any reading. Can and cannot do transfer: most languages mark ability and its negation, so name that this book's whole difference is one negation word. Rehearse the frame "The word ___ means it can not happen." Let students first say which word is different in their strongest language, then read the printed sentence in English.
Choose your curriculum above to see the standards for this lesson.
Standards are held back while this plan is edited. Every standard shown here was matched against the supplied wording of this lesson, quoting its steps, so a changed step is no longer the thing that was checked. Undo your changes to bring the standards back — your edits stay in this browser either way.
This book is organised as a question the author asks and then answers, four times over. Students read two of those blocks printed in full, sort each sentence into question or answer, and notice that the question always comes first and always ends with a question mark. They then find the book's very first question and say what it promised the reader. The skill is reading the shape of an explanation, not doing anything with the numbers in it.
1. Read one question and answer block (5 min)
Read the printed passage about the fruit aloud with your partner. Read the first sentence with your voice going up, the way a question sounds. Then read the sentence that answers it in a flat telling voice.
Word preview: question, answer
Which group of fruit has an even number? 4 apples, 3 oranges There is an even number of apples. The apples can be grouped by twos.
2. Sort the sentences into question and answer (6 min)
Lay your question and answer cards beside the printed passage about the shapes. Put the card reading question next to the sentence that asks something, and the card reading answer next to the sentence that tells you the result. Say which card came first.
Which group of shapes has an odd number? 8 red triangles 5 Yellow Squares There is an odd number of squares. The squares cannot be grouped by twos.
3. Check that the pattern holds again (5 min)
Read the printed passage about the balls. Point to the asking sentence and then to the telling sentence, in that order. Tell your partner whether this page is built the same way as the shapes page, and say what stayed the same.
Which group of balls has an odd number? Three purple balls? 6 Happy Faceballs There is an odd number of purple balls. The purple balls cannot be grouped by twos.
4. Find the question the book opens with (4 min)
Read the printed opening passage. Find the sentence that asks something and read only that sentence aloud. Say what the book promised to tell you after asking it.
Some numbers are even. Some numbers are odd. What is the difference?
1. Read one question and answer block (4 min)
Read the printed passage about the fruit aloud with a partner, asking voice for the first sentence and telling voice for the sentence that answers it.
Word preview: question, answer
Which group of fruit has an even number? 4 apples, 3 oranges There is an even number of apples. The apples can be grouped by twos.
2. Sort the sentences into question and answer (5 min)
Put your question card beside the asking sentence in the printed shapes passage and your answer card beside the telling sentence. Say which one the book prints first.
Which group of shapes has an odd number? 8 red triangles 5 Yellow Squares There is an odd number of squares. The squares cannot be grouped by twos.
The rising intonation of an English question does not transfer from every language, and this book's questions are marked by word order as well as by the question mark, so model the voice before asking for it. Rehearse the frame "This sentence asks. This sentence tells." Students may sort the cards silently first and explain their sort in their strongest language before saying it in English.
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Every time this book states a result it prints one more sentence that says why. Students read two blocks in full, find the result sentence and the reason sentence, and learn that the reason sentence is the one that repeats the rule from the front of the book. They finish by matching a reason to the rule sentence it came from. The work is locating and quoting the author's own reason, not judging whether it is arithmetically true.
1. Read the block and find the result (5 min)
Read the printed passage about the shapes with a partner. Underline the sentence that tells you the result. Read just that sentence aloud so your partner hears where the telling starts.
Word preview: reason, because
Which group of shapes has an odd number? 8 red triangles 5 Yellow Squares There is an odd number of squares. The squares cannot be grouped by twos.
2. Underline the sentence that says why (6 min)
Look at the same printed shapes passage. One more sentence comes after the result and it says why. Underline it in a second colour and read it aloud, starting your sentence with the words because the book says.
Which group of shapes has an odd number? 8 red triangles 5 Yellow Squares There is an odd number of squares. The squares cannot be grouped by twos.
3. Match the reason back to the rule (5 min)
Read the printed rule passage. Find the sentence in it that uses almost the same words as the reason you underlined. Read the two sentences one after the other and tell your partner what the author repeated on purpose.
Even numbers can be grouped by twos. even six jacks. Odd numbers cannot be grouped by twos.
4. Do it again on a new page (4 min)
Read the printed passage about the balls. Say aloud which sentence is the result and which sentence is the reason. Write the reason sentence on your slip and read it back to your partner.
Which group of balls has an odd number? Three purple balls? 6 Happy Faceballs There is an odd number of purple balls. The purple balls cannot be grouped by twos.
1. Read the block and find the result (4 min)
Read the printed shapes passage with a partner and underline the sentence that tells the result. Read only that sentence aloud.
Word preview: reason, because
Which group of shapes has an odd number? 8 red triangles 5 Yellow Squares There is an odd number of squares. The squares cannot be grouped by twos.
2. Underline the sentence that says why (5 min)
In the same printed passage, underline the sentence that says why in a second colour. Read it aloud beginning with the words because the book says.
Which group of shapes has an odd number? 8 red triangles 5 Yellow Squares There is an odd number of squares. The squares cannot be grouped by twos.
Because is an early, high-value connector and most students already have one in their strongest language, so the concept transfers even when the word does not. This book never prints the word because, so the reason is signalled only by position, which is the hard part to see. Rehearse the frame "The reason is that ___." Invite students to say the reason in their strongest language and then read the book's own sentence aloud in English.
Choose your curriculum above to see the standards for this lesson.
Standards are held back while this plan is edited. Every standard shown here was matched against the supplied wording of this lesson, quoting its steps, so a changed step is no longer the thing that was checked. Undo your changes to bring the standards back — your edits stay in this browser either way.