Module 6Lesson 20

Objective

Use rectangular arrays to investigate odd and even numbers.

Skip-Counting by Twos

Let’s skip-count by twos. On my signal, count by ones from 0 to 20 in a whisper. Ready?

Did anyone notice what I was doing while you were counting? I was tapping by ones, but I knocked on every other number. Let’s count again, and this time you can try knocking and tapping with me.

Core Fluency Practice Sets

On your mark, get set, THINK!

Concept Development

Part 1: Even + even = even.

Partner A, make 2 rows of 3 on your board.

Partner B, make 2 rows of 4 on your board.

How many tiles are on Partner A’s mat?

Is 6 even or odd?

How many tiles are on Partner B’s mat?

Is 8 even or odd?

Concept Development

Now, let’s see what happens when we add two even numbers together. Partners, slide your personal boards next to each other and combine the two arrays that you made.

How many tiles do you have altogether?

Is that even or odd?

Now lets try some more:

2 rows of 5 + 2 rows of 3

2 rows of 4

2 rows of 8.

When we add an even and an even do we get an even or an odd?

Concept Development

Let’s record that on our chart. An even number plus another even number makes an even number.

Part 2: Even + odd = odd.

Now let’s see what happens when we add an even and an odd!

Partner A, make an array with 2 rows of 3 on your board. Partner B, make 2 rows of 3, then add 1 tile on the top row on the right.

Concept Development

Is 6 even or odd?

Is 7 even or odd?

Now slide your mats together as you did before.

How many tiles do you have altogether?

Is that even or odd?

How do you know?

When we add an even and an odd do we get an even or an odd?

Concept Development

 Part 3: Odd + odd = even.

Now let’s see what happens when we add an odd number to another odd number!

Partner A, make 2 rows of 3 on your board. Then add 1 tile to the top row on the right.

Partner B, make 2 rows of 4 on your board. Then add 1 tile to the bottom row on the left.

Is 7 even or odd?

Is 9 even or odd?

Concept Development

Partners, slide your mats together to connect the arrays.

What do you have?

How many is that?

Is 16 even or odd?

We added two odd numbers, and now we have an even number. Talk to your partner. How did that happen?

What do we get when we add an odd and an odd?

Concept Development

Part 4: Extend the pattern to sums with totals within 50.

What do we get when we add an even and an even?

What do we get when we add an even and an odd?

Let’s see if this is still true when we are adding larger numbers.

On your board, write the problem 10 + 12 and your answer.

Is 10 even or odd?

Is 12 even or odd?

What is 10 + 12?

Turn and talk: Is 22 even or odd, and how do you know?

Application Problem

Mrs. Boxer has 11 boys and 9 girls at a Grade 2 party.

Write the number sentence to show the total number of people.

Mrs. Boxer wants to pair everyone up for a game. Does she have the right number of people for everyone to have a partner?

Are the addends even or odd?