Compose Shapes

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Compose Shapes · Grade 1 · Worksheet 2

1. Mason has 7 small square tiles. He puts them together to make one large rectangle. If he arranges all 7 tiles in a row, side by side, what 2D shape does he make? Answer: rectangle Solution: Mason has 7 small square tiles. Each tile is a square with 4 equal sides. He puts all 7 tiles in a row, side by side.
   Full step-by-step solution

   Step 1: Mason has 7 small square tiles. Each tile is a square with 4 equal sides. Step 2: He puts all 7 tiles in a row, side by side. This means they share sides and form one long straight shape. Step 3: The new shape has 4 sides. The top and bottom sides are long (made from 7 tile edges), and the left and right sides are short (just 1 tile edge each). Step 4: A shape with 4 sides and opposite sides equal is called a rectangle. The answer is rectangle.

2. Noah is making a picture with shapes. He puts 2 small squares together side by side to make a new shape. What shape did Noah make? Answer: rectangle Solution: Start with 2 small squares. Each square has 4 equal sides. Put them together side by side so they share one side.
   Full step-by-step solution

   Step 1: Start with 2 small squares. Each square has 4 equal sides. Step 2: Put them together side by side so they share one side. Step 3: The new shape has 2 long sides (made from two square sides) and 2 short sides (the top and bottom of one square). Step 4: A shape with 4 sides, where two sides are longer and two sides are shorter, is called a rectangle. The answer is a rectangle.

3. Emma has 10 small square tiles. She puts them together to make one big rectangle. How many rows and columns could her rectangle have? Answer: 2 rows and 5 columns (or 5 rows and 2 columns) Solution: Emma has 10 square tiles. She wants to arrange them in a rectangle. A rectangle made from squares has rows and columns.
   Full step-by-step solution

   Step 1: Emma has 10 square tiles. She wants to arrange them in a rectangle. Step 2: A rectangle made from squares has rows and columns. The number of tiles equals rows times columns. Step 3: Find pairs of numbers that multiply to 10: 1 x 10 = 10, 2 x 5 = 10, 5 x 2 = 10, 10 x 1 = 10. Step 4: For a rectangle (not a straight line), we use 2 rows and 5 columns, or 5 rows and 2 columns. Step 5: The answer is 2 rows and 5 columns (or 5 rows and 2 columns).

4. 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.

5. Amelia is building a castle with shape blocks. Amelia stacks 4 triangles to make a tower. Then Amelia adds 1 more triangles to make the tower taller. How many triangles are in the tower now? Answer: 5 Solution: Start with 4 triangles. Add 1 more triangles. 4 + 1 = 5.
   Full step-by-step solution

   Step 1: Start with 4 triangles. Step 2: Add 1 more triangles. Step 3: 4 + 1 = 5. The tower has 5 triangles now.

6. Sophia is making a picture with pattern blocks. She wants to create a large rectangle by putting smaller rectangles together. If she uses 8 small rectangles, and she puts them in a row with 4 rectangles in the top row and 4 rectangles in the bottom row, what shape does she make? Answer: a larger rectangle Solution: Sophia puts 4 rectangles in a row across the top. Then she puts 4 more rectangles directly below them in a second row. Each small rectangle has straight sides and square corners.
   Full step-by-step solution

   Sophia puts 4 rectangles in a row across the top. Then she puts 4 more rectangles directly below them in a second row. Each small rectangle has straight sides and square corners. When you put two rows of rectangles together, the top edges line up and the sides line up, making one big shape that still has straight sides and square corners. So the shape she makes is a larger rectangle.

7. Emma has some pattern blocks. Emma uses 6 rectangles to build a big rectangle. Then Emma takes 2 of those rectangles away to make a smaller rectangle. How many rectangles are left in Emma's shape? Answer: 4 Solution: Start with 6 rectangles. Take away 2 rectangles. 6 - 2 = 4.
   Full step-by-step solution

   Step 1: Start with 6 rectangles. Step 2: Take away 2 rectangles. Step 3: 6 - 2 = 4. There are 4 rectangles left in the shape.

8. Isabella has some pattern blocks. Isabella uses 4 rectangles to build a big rectangle. Then Isabella takes 1 of those rectangles away to make a smaller rectangle. How many rectangles are left in Isabella's shape? Answer: 3 Solution: Start with 4 rectangles. Take away 1 rectangles. 4 - 1 = 3.
   Full step-by-step solution

   Step 1: Start with 4 rectangles. Step 2: Take away 1 rectangles. Step 3: 4 - 1 = 3. There are 3 rectangles left in the shape.

9. Sophia is making a picture with shapes. She puts 6 small triangles together around a center point, with their points touching. What shape do the 6 triangles make when they are arranged this way? Answer: hexagon Solution: Sophia places 6 triangles so their points meet at one spot in the middle. Step 2: The outer edges of the triangles form a shape with 6 straight sides. Step 3: A shape with 6 sides is called a hexagon.
   Full step-by-step solution

   Step 1: Sophia places 6 triangles so their points meet at one spot in the middle. Step 2: The outer edges of the triangles form a shape with 6 straight sides. Step 3: A shape with 6 sides is called a hexagon. The answer is hexagon.