Compose Shapes

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Answer Key & Explanations

Compose Shapes · Grade 1 · Worksheet 2

1. Ethan is making a picture with shape blocks. Ethan puts 2 triangles together to make a square. Then Ethan adds 2 more triangles to make a bigger square. How many triangles does Ethan use in total to make the big square? Answer: 4 Solution: Start with 2 triangles for the first square. Add 2 more triangles to make the big square. 2 + 2 = 4.
   Full step-by-step solution

   Step 1: Start with 2 triangles for the first square. Step 2: Add 2 more triangles to make the big square. Step 3: 2 + 2 = 4. Ethan uses 4 triangles in total.

2. 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.

3. Mia is making a picture with shape blocks. Mia puts 4 triangles together to make a square. Then Mia adds 2 more triangles to make a bigger square. How many triangles does Mia use in total to make the big square? Answer: 6 Solution: Start with 4 triangles for the first square. Add 2 more triangles to make the big square. 4 + 2 = 6.
   Full step-by-step solution

   Step 1: Start with 4 triangles for the first square. Step 2: Add 2 more triangles to make the big square. Step 3: 4 + 2 = 6. Mia uses 6 triangles in total.

4. Emma has two identical squares. She puts them together along one side. What new 2D shape does Emma make? Answer: rectangle Solution: Start with two identical squares. Each square has four equal sides. The new shape has 4 sides, with opposite sides equal and longer than the other pair.
   Full step-by-step solution

   Step 1: Start with two identical squares. Each square has four equal sides. Step 2: Place them side by side so they share one whole side. Step 3: Count the sides of the new shape. The top has two square tops making one long top. The bottom has two square bottoms making one long bottom. The left and right sides are the same as before. Step 4: The new shape has 4 sides, with opposite sides equal and longer than the other pair. This is a rectangle. The answer is a rectangle.

5. 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.

6. 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.

7. Jordan is building a castle with shape blocks. Jordan stacks 3 triangles to make a tower. Then Jordan adds 1 more triangles to make the tower taller. How many triangles are in the tower now? Answer: 4 Solution: Start with 3 triangles. Add 1 more triangles. 3 + 1 = 4.
   Full step-by-step solution

   Step 1: Start with 3 triangles. Step 2: Add 1 more triangles. Step 3: 3 + 1 = 4. The tower has 4 triangles now.

8. Kai is playing with shape puzzles. Kai puts 4 squares together to make a long train. Then Kai puts 3 circles on top of the train. How many shapes does Kai use in all? Answer: 7 Solution: Count the squares: 4 squares. Count the circles: 3 circles. 4 + 3 = 7.
   Full step-by-step solution

   Step 1: Count the squares: 4 squares. Step 2: Count the circles: 3 circles. Step 3: 4 + 3 = 7. Kai uses 7 shapes in all.

9. Liam wants to make a larger rectangle by putting two smaller rectangles side by side. Each small rectangle is 3 inches tall and 5 inches wide. When Liam puts them together along their longer sides, what is the shape he makes? Answer: a larger rectangle Solution: Each small rectangle has 4 straight sides and 4 square corners. When you put two rectangles together along their 5-inch sides, the 5-inch sides touch and disappear as inside edges.
   Full step-by-step solution

   Step 1: Each small rectangle has 4 straight sides and 4 square corners. Step 2: When you put two rectangles together along their 5-inch sides, the 5-inch sides touch and disappear as inside edges. Step 3: The new shape still has only straight sides and square corners. Step 4: The new shape has 4 sides and 4 square corners. Step 5: A shape with 4 straight sides and 4 square corners is a rectangle. The answer is a larger rectangle.