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Math · Grade 1 Math

Chapter 9: Shapes, Equal Shares, and Time

Shapes Inside Shapes

A shape you built can become a piece of something bigger.

Lesson
5
Time
About 12 minutes
0 of 6 done

Step 1: Let's Learn

Read it, or press Listen and follow the words.

Two triangles make a rhombus. So a rhombus is made of shapes too.

Use it as a piece

Three rhombuses fill the hexagon. Each one is really two triangles.

3 rhombuses is the same as 6 triangles. Both fill the hexagon.

A shape can be a whole and a part

The square you built from two triangles can become one tile in a bigger pattern. Whether it is a part or a whole depends on the question.

This is where fractions begin

Seeing a shape as made of equal pieces is exactly what a fraction is. You are doing it before it has a name.

Step 2: Try It Yourself

The dotted lines show the triangles hiding inside.

Choose rhombuses. The dotted lines show the triangles inside.

It takes 3 rhombuses to fill the hexagon.

Each rhombus is made of triangles too. The dotted lines show them.

Step 3: Watch an Example

One step at a time.

Watch Ana Look Inside

Ana fills a hexagon with 3 rhombuses.

  1. Step 1

    She sees the dotted line inside each rhombus.

Step 4: Your Turn

Practice makes it stick.

Counting the Small Pieces

Problem 1 of 1

A trapezoid is 3 triangles. How many triangles are in 2 trapezoids?

How Many Triangles?

1 of 3

How many triangles make one rhombus?

2 of 3

How many triangles make one trapezoid?

3 of 3

How many triangles are in 3 rhombuses?

Step 5: Quick Check

Show what you know.

Question 1 of 2

How many triangles make one trapezoid?

Question 2 of 2

Can a piece be made of smaller pieces?

What You Learned

  • A shape you build can be used as a piece.
  • A rhombus is 2 triangles. A trapezoid is 3.
  • Bigger pieces mean fewer pieces, not less shape.