K.7 Solid Shapes All Around Us

Unit Goals

  • Students identify, describe, analyze, compare, and compose two- and three- dimensional shapes. Counting, addition, and subtraction are revisited in the geometric contexts.

Section A Goals

  • Compose shapes from smaller shapes.
  • Count and compare numbers, and solve story problems involving shapes.

Section B Goals

  • Compare weight and capacity of objects.
  • Compose shapes from smaller shapes.
  • Describe and compare three-dimensional shapes.
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Section A: Compose and Count with Flat Shapes

Problem 1

  

  1. Fill in the puzzle using only triangle pattern blocks.

  2. How many pattern blocks did you use?

    _______________

  3. Now fill in the puzzle using any pattern blocks you choose.

  4. How many pattern blocks did you use?

    _______________

Solution

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Problem 2

  1. Fill in the puzzle using only green triangle and blue rhombus pattern blocks.

  2. Did you use more

    or

    blocks?

    green triangle

    blue rhombus

    Circle the shape that you used more of.

  3. Fill in the puzzle a different way using only green triangle and blue rhombus pattern blocks.

  4. Did you use more

    or

    blocks?

    green triangle

    blue rhombus

    Circle the shape that you used more of.

Solution

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Problem 3

Mai built this shape.

  1. How many

    blocks did Mai use?

    green triangle

    _______________

  2. How many

    blocks did Mai use?

    red trapezoid

    _______________

Solution

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Problem 4

Build a shape with pattern blocks that matches the equation.

\(5 + 1 = 6\)

Solution

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Problem 5

Lin put 8 pattern blocks together to make a shape.
Then Lin took away 3 of the pattern blocks.

How many pattern blocks are in Lin's shape now?

Solution

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Problem 6

Clare used 10 pattern blocks to make a puzzle.
She used trapezoids and triangles.

How many trapezoids did Clare use?
Then how many triangles did Clare use?

_______________

_______________

Solution

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Problem 7

Exploration

  1. Fill in the pattern block puzzle.

  2. How many pattern blocks did you use?

    _______________

  3. Can you fill the puzzle using 10 pattern blocks?

Solution

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Problem 8

Exploration

  1. ​​​​

    Fill in the puzzle.

    Use only 10 pattern blocks, some red trapezoids and some blue rhombuses.

  2. Write numbers to show how many blocks you used.

    I used __________ trapezoids

    and __________ rhombuses.

  3. Can you fill in the puzzle with a different number of red trapezoid and blue rhombus blocks?

    Use only 10 pattern blocks, some red trapezoids and some blue rhombuses.

Solution

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Section B: Describe, Compare, and Create Solid Shapes

Problem 1

Exploration

Place 4 different objects from the classroom on the table.

Describe one of the objects to your partner.
Your partner guesses the object.

Then, guess the object that your partner describes.

Solution

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Problem 2

Exploration

  1. Build a tower with solid shapes.
  2. Can you build a tower with 10 solid shapes?
  3. Can you build a tower with 20 solid shapes?
  4. What strategies did you use when deciding which solid shapes to use and where to put the solid shapes?

Solution

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Problem 3

Exploration

Pick an object in the classroom, but don’t tell your partner which object you’ve picked.

Give your partner clues about the object until your partner guesses the object.

Solution

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Problem 4

Exploration

  1. Can you find an object in the classroom that fits the description?

    • I am not flat.
    • I am heavy.
    • You can see some rectangles on me.

    Can you find more than one object?

  2. Can you find an object in the classroom that fits the description?

    • I am flat.
    • I have lots of colors and different shapes.
    • I have some rectangles.

    Can you find more than one object?

Solution

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Problem 5

Exploration

  1. Count out 18 connecting cubes.

    Can you build a box with your cubes?

  2. Count out 20 connecting cubes.

    Can you build a box with your cubes?

Solution

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