Grade 2 · Math · Unit

Equal Groups and Equal Shares

8 lessonsabout 5 weeks

The unit ends with three more days: a review day, the unit check, and a day to act on what the check showed.

Unit 8 of 9 in the Grade 2 Math Scope and Sequence

What's included in this unit

8 lessons in teaching order, each with its objective and a teacher note
45 practice pages to print, with an easier and a harder page where available
5 classroom tools for the projector
7 activities and pages that children do on a screen
8 check-up pages to collect

The whole unit in one file

Print every page of the unit at once, with the teacher guide first. The guide has one page per lesson: the objective, what to hand out, and the teacher note.

Teacher guide only (PDF)

The unit file, the teacher guide, and saved pages are included with the Teacher plan.

Your PDF is built in your browser, so it always has the newest version of every page.

Lessons

Lesson 1

Odd and even with equal parts

Children pair dots, write a number as two equal parts with 0 or 1 left over, and decide from the ones digit whether a number under 100 is odd or even.

StandardCommon Core 2.OA.C.3Operations and Algebraic Thinking

3 class days

Day 1Teach: The Pair Gate · Practice on paper (Core page)
Day 2Practice and check: Practice on paper (Easier page, Harder page) · Practice on screen · Check-up page
Day 3Reteach and extend: Act on the check-up pages: reteach the children who are not there yet, with the tool and a new page from the maker; the others take a harder page.

Warm up and teach

Open The Pair Gate on the projector.

Practice on paper

Odd or Even? Write Two Equal Addends
Core page Easier page Harder page
Odd and Even Numbers Under 100: Look at the Ones Box
Core page Easier page Harder page

Practice on screen

Even or Odd? — Number Sense

Check-up page

One more page of Odd or Even? Write Two Equal Addends to collect at the end of the lesson.

Make more

Make more pages like this with the Odd & Even maker.

Lesson 2

Equal groups

Children count equal groups, write the repeated addition, and finish the multiplication sentence for it.

StandardCommon Core 2.OA.C.4Operations and Algebraic Thinking
Later gradeCommon Core 3.OA.A.1Operations and Algebraic Thinking

2 class days

Day 1Teach: Practice on paper (Core page)
Day 2Practice and check: Practice on paper (Easier page, Harder page) · Practice on screen · Check-up page

Practice on paper

Add It Again
Core page Easier page Harder page
From Adding to Times
Core page Easier page Harder page

Practice on screen

Equal Groups — Repeated Addition to Find the Total

Check-up page

One more page of Add It Again to collect at the end of the lesson.

Make more

Make more pages like this with the Multiplication & Division maker.

Lesson 3

Rows and columns

Children count the rows and columns of an array, finish the multiplication sentence, and pick the array that matches a multiplication.

StandardCommon Core 2.OA.C.4Operations and Algebraic Thinking
Later gradeCommon Core 3.OA.A.1Operations and Algebraic Thinking

3 class days

Day 1Teach: The Baking Tray · Practice on paper (Core page)
Day 2Practice and check: Practice on paper (Easier page, Harder page) · Practice on screen · Check-up page
Day 3Reteach and extend: Act on the check-up pages: reteach the children who are not there yet, with the tool and a new page from the maker; the others take a harder page.

Warm up and teach

Open The Baking Tray on the projector.

Practice on paper

Rows and Columns
Core page Easier page Harder page
Pick the Array
Core page Easier page Harder page

Practice on screen

Build an Array — Rows, Columns & Repeated Addition

Check-up page

One more page of Rows and Columns to collect at the end of the lesson.

Make more

Make more pages like this with the Multiplication & Division maker.

Lesson 4

Rows and columns of squares

Children divide a rectangle into rows and columns of same-size squares (up to 4 rows and 5 columns) and count the squares by rows.

StandardCommon Core 2.G.A.2Geometry

2 class days

Day 1Teach: The Baking Tray · Practice on paper (Core page)
Day 2Practice and check: Practice on paper (Easier page, Harder page) · Check-up page

Warm up and teach

Open The Baking Tray on the projector.

Practice on paper

Rows and Columns of Squares
Core page Easier page Harder page

Check-up page

One more page of Rows and Columns of Squares to collect at the end of the lesson.

Teacher note

Common mistakes: Children draw the lines freehand, so the squares come out in different sizes, or they draw one line too many. Others mix up rows and columns. When they count, some count the lines they drew, not the squares.
Words to use: On The Baking Tray, use the arrow buttons to make 3 rows with 4 in each row. "Rows go across. How many rows? 3. Columns go up and down. How many columns? 4." Count the buns row by row: 4, 8, 12, and write 4 + 4 + 4 = 12. Tap "Turn the tray" and ask what changed and what did not (skip the on-screen question about breaking the tray). Now squares instead of buns: give each pair a paper rectangle and square tiles: "Cover it with no gaps or overlaps. How many rows? How many columns?" On the board, draw a rectangle with marks on its sides and show how to lay the ruler from one mark to the mark across from it.
What to watch for: Every child needs a ruler. On the easier page, one row and one column of squares are already drawn; the child draws the missing lines and writes the number of rows, columns, and squares. On the page for everyone, there are only marks on all four sides: the child joins each mark to the mark across from it, then adds the squares row by row (4 + 4 + 4 = 12). On the harder page, the marks are on two sides only, so the child must line up the ruler with no second mark to aim at. Each box in the addition gets the number of squares in one row; there are as many boxes as rows. Check the drawing before the numbers: crooked lines make squares of different sizes.

Lesson 5

Count by threes and fours

Children skip count by 3 and by 4 and write the missing numbers in each counting row.

Prepares forCommon Core 3.OA.C.7Operations and Algebraic Thinking
Goes beyondCommon Core 2.NBT.A.2Number and Operations in Base Ten

3 class days

Day 1Teach: Choral Counting · Practice on paper (Core page)
Day 2Practice and check: Practice on paper (Easier page, Harder page) · Practice on screen · Check-up page
Day 3Reteach and extend: Act on the check-up pages: reteach the children who are not there yet, with the tool and a new page from the maker; the others take a harder page.

Warm up and teach

Open Choral Counting on the projector.

Practice on paper

Count by Threes
Core page Easier page Harder page
Count by Fours
Core page Easier page Harder page

Practice on screen

Hopper's Lily Hops — Skip-Counting by 5s, 10s & 100s

Check-up page

One more page of Count by Threes to collect at the end of the lesson.

Make more

Make more pages like this with the Number Charts and Number Sequences maker.

Lesson 6

Share fairly and make groups

Children share a pile equally into bins and write how many each gets, and count how many equal groups a pile makes.

Later gradeCommon Core 3.OA.A.2Operations and Algebraic Thinking

3 class days

Day 1Teach: The Lids · Practice on paper (Core page)
Day 2Practice and check: Practice on paper (Easier page, Harder page) · Practice on screen · Check-up page
Day 3Reteach and extend: Act on the check-up pages: reteach the children who are not there yet, with the tool and a new page from the maker; the others take a harder page.

Warm up and teach

Open The Lids on the projector.

Practice on paper

Share It Fairly
Core page Easier page Harder page
How Many Groups?
Core page Easier page Harder page

Practice on screen

Maple's Bakery — Division: Sharing & Grouping

Check-up page

One more page of Share It Fairly to collect at the end of the lesson.

Make more

Make more pages like this with the Multiplication & Division maker.

Lesson 7

Halves, thirds, and fourths

Children tell equal parts from unequal parts and color one half, one third, or one fourth of a shape.

StandardCommon Core 2.G.A.3Geometry

3 class days

Day 1Teach: Fraction Kitchen · Practice on paper (Core page)
Day 2Practice and check: Practice on paper (Easier page, Harder page) · Practice on screen · Check-up page
Day 3Reteach and extend: Act on the check-up pages: reteach the children who are not there yet, with the tool and a new page from the maker; the others take a harder page.

Warm up and teach

Open Fraction Kitchen on the projector.

Practice on paper

Fair Shares?
Core page Easier page Harder page
Half and Half
Core page Easier page Harder page
Thirds and Quarters
Core page Easier page Harder page

Practice on screen

Make Thirds — Partition Shapes into 3 Equal Parts

Check-up page

One more page of Fair Shares? to collect at the end of the lesson.

Make more

Make more pages like this with the Fractions maker.

Teacher note

Common mistakes: Children call any shape cut into two pieces "halves," even when one piece is bigger. They think equal parts must look alike, so a square cut corner to corner and a square cut straight across cannot both show halves.
Words to use: Ask: "Are the parts EQUAL? Would it be fair to share it this way?" Say: "Two equal parts are halves. Three equal parts are thirds. Four equal parts are fourths, or quarters." Cut the parts out and lay one on top of the other, turning it if you need to. Do not check by folding: a rectangle cut corner to corner has two equal halves that do not fold onto each other.
What to watch for: Look at what children do with shapes cut into unequal parts. A child who colors one of two unequal pieces and calls it a half is counting pieces, not comparing sizes.

Lesson 8

A fraction of a group

Children circle one half, one third, or one fourth of a group of pictures and write how many that is.

Prepares forCommon Core 3.NF.A.1Number and Operations—Fractions
Goes beyondCommon Core 2.G.A.3Geometry

2 class days

Day 1Teach: Practice on paper (Core page)
Day 2Practice and check: Practice on paper (Easier page, Harder page) · Practice on screen · Check-up page

Practice on paper

Share the Set
Core page Easier page Harder page

Practice on screen

Maple's Bakery — Division: Sharing & Grouping

Check-up page

One more page of Share the Set to collect at the end of the lesson.

Make more

Make more pages like this with the Fractions maker.

Unit check: before and after

Two short paper checks made from this unit's own worksheets. Give Check A before you teach the unit and Check B after it, and you can see what changed. Each part belongs to one lesson.

Part 1: Lesson 1, Odd and even with equal parts (2 tasks)
Part 2: Lesson 2, Equal groups (2 tasks)
Part 3: Lesson 7, Halves, thirds, and fourths (1 task)
Part 4: Lesson 8, A fraction of a group (1 task)

Not in the check: Lesson 3, Lesson 4, Lesson 5, Lesson 6. Worksheets that cannot be split into single tasks are left out.

Check A (PDF) · 2 pages Check B (PDF) · 2 pages

Printing a check counts as a download, like any worksheet.

Answer key A Answer key B Teacher pages: points, class record, and what to do next

The answer keys and the teacher pages come with the paid Teacher plan.

This is a classroom check of this unit's lessons. It is not a standardized test, and its points are not a grade.