Compose Shapes

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Answer Key & Explanations

Compose Shapes · Grade 1 · Worksheet 3

1. Sophia has 8 small square tiles. She puts them together side by side to form one large rectangle. If she arranges all 8 tiles in a single row, what 2D shape does she make? Answer: rectangle Solution: Sophia has 8 small square tiles. Each tile is a square, so it has 4 equal sides. She puts all 8 tiles in one row, side by side.
   Full step-by-step solution

   Step 1: Sophia has 8 small square tiles. Each tile is a square, so it has 4 equal sides. Step 2: She puts all 8 tiles in one row, side by side. This means each tile touches the next tile along one side. Step 3: The new shape has 4 sides. The top side is made from the top edges of all 8 squares, so it is long. The bottom side is also made from the bottom edges of all 8 squares, so it is the same length as the top side. Step 4: The left side is just the left edge of the first square, and the right side is just the right edge of the last square. Both are the same length (the side of one small square). Step 5: A shape with 4 sides where opposite sides are equal is called a rectangle. The answer is rectangle.

2. Matiu has 12 small square tiles. He puts them together in 3 equal rows to make a larger shape. What 2D shape does he make? Answer: rectangle Solution: Matiu has 12 small square tiles. Each tile is a square with 4 equal sides. He arranges the tiles in 3 equal rows.
   Full step-by-step solution

   Step 1: Matiu has 12 small square tiles. Each tile is a square with 4 equal sides. Step 2: He arranges the tiles in 3 equal rows. That means each row has 12 divided by 3 = 4 tiles. Step 3: The tiles are placed side by side in each row, and the rows are stacked on top of each other. This forms a shape with 4 sides. Step 4: The top and bottom sides are each made from 4 tile edges, so they are the same length. The left and right sides are each made from 3 tile edges, so they are the same length. Step 5: A shape with 4 sides where opposite sides are equal is called a rectangle. The answer is rectangle.

3. Sam has some pattern blocks. Sam uses 3 rectangles to build a big rectangle. Then Sam takes 1 of those rectangles away to make a smaller rectangle. How many rectangles are left in Sam's shape? Answer: 2 Solution: Start with 3 rectangles. Take away 1 rectangles. 3 - 1 = 2.
   Full step-by-step solution

   Step 1: Start with 3 rectangles. Step 2: Take away 1 rectangles. Step 3: 3 - 1 = 2. There are 2 rectangles left in the shape.

4. Noah has 6 small triangles. He puts them together to make a larger shape. If he arranges all 6 triangles in a row, point to point, so they share sides, what 2D shape does he make? Answer: hexagon Solution: Noah has 6 small triangles. Each triangle has 3 sides. Step 2: When he puts them in a row, point to point, the triangles share sides.
   Full step-by-step solution

   Step 1: Noah has 6 small triangles. Each triangle has 3 sides. Step 2: When he puts them in a row, point to point, the triangles share sides. The new shape has 6 sides. Step 3: A shape with 6 sides is called a hexagon. The answer is hexagon.

5. Kaia has 9 small square tiles. She wants to put them together to make one big square. How many tiles will she have left over? Answer: 0 tiles left over (she can make a 3 by 3 square) Solution: To make a square, the number of tiles in each row must equal the number of rows. Step 2: Try 2 rows of 2 tiles = 4 tiles, but 9 is bigger than 4. Step 3: Try 3 rows of 3 tiles = 9 tiles.
   Full step-by-step solution

   Step 1: To make a square, the number of tiles in each row must equal the number of rows. Step 2: Try 2 rows of 2 tiles = 4 tiles, but 9 is bigger than 4. Step 3: Try 3 rows of 3 tiles = 9 tiles. Step 4: 9 tiles exactly makes a 3 by 3 square. Step 5: 9 - 9 = 0, so no tiles are left over. The answer is 0 tiles left over.

6. Kaia is making a large shape for her art project. She puts 3 identical triangles together so that their sides touch. She makes a shape with 3 straight sides and 3 corners. What shape did Kaia make? Answer: triangle Solution: Kaia starts with 3 identical triangles. She puts them together so their sides touch. The new shape has 3 straight sides and 3 corners.
   Full step-by-step solution

   Step 1: Kaia starts with 3 identical triangles. Step 2: She puts them together so their sides touch. Step 3: The new shape has 3 straight sides and 3 corners. Step 4: A shape with 3 sides and 3 corners is called a triangle. The answer is a triangle.

7. Jordan is making a picture with shape blocks. Jordan puts 3 triangles together to make a square. Then Jordan adds 2 more triangles to make a bigger square. How many triangles does Jordan use in total to make the big square? Answer: 5 Solution: Start with 3 triangles for the first square. Add 2 more triangles to make the big square. 3 + 2 = 5.
   Full step-by-step solution

   Step 1: Start with 3 triangles for the first square. Step 2: Add 2 more triangles to make the big square. Step 3: 3 + 2 = 5. Jordan uses 5 triangles in total.

8. Emma is making a new shape by putting together smaller shapes. She puts 3 small triangles together, point to point, in a row. If each triangle has 3 sides, and she puts them together so that they share sides, what is the name of the new shape she makes? Answer: trapezoid Solution: Draw one triangle. It has 3 sides. Place a second triangle next to the first, sharing one side.
   Full step-by-step solution

   Step 1: Draw one triangle. It has 3 sides. Step 2: Place a second triangle next to the first, sharing one side. Now the combined shape has 4 sides (a quadrilateral). Step 3: Place a third triangle next to the second, sharing another side. The new combined shape has 4 sides: one top side (long), one bottom side (long), and two slanted sides on the ends. Step 4: A shape with 4 sides where the top and bottom are parallel but different lengths is called a trapezoid. The answer is trapezoid.

9. Zoe is playing with shape puzzles. Zoe puts 2 squares together to make a long train. Then Zoe puts 1 circles on top of the train. How many shapes does Zoe use in all? Answer: 3 Solution: Count the squares: 2 squares. Count the circles: 1 circles. 2 + 1 = 3.
   Full step-by-step solution

   Step 1: Count the squares: 2 squares. Step 2: Count the circles: 1 circles. Step 3: 2 + 1 = 3. Zoe uses 3 shapes in all.