1.7 Geometry and Time

Unit Goals

  • Students reason with shapes and their attributes, partition shapes into equal pieces, and tell time to the hour and half hour.

Section A Goals

  • Build and draw shapes to possess defining attributes.
  • Compose two-dimensional or three-dimensional shapes to create a composite shape.
  • Describe attributes of two-dimensional and three-dimensional shapes.

Section B Goals

  • Partition circles and rectangles into two and four equal pieces and describe the pieces with words (halves and fourths).

Section C Goals

  • Tell and write time in hours and half-hours.
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Section A: Flat and Solid Shapes

Problem 1

Pre-unit

Practicing Standards:  K.G.A.2

Name each shape.
Closed shape. 3 straight sides. 3 corners, pointy.  

Shape.

Closed shape. 4 straight sides of equal length. 4 square corners.

Solution

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Problem 2

Pre-unit

Practicing Standards:  K.G.A.2

Color in all of the triangles.
Cross out all of the rectangles.

A collection of flat shapes.

Solution

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Problem 3

Pre-unit

Practicing Standards:  K.G.A.2

Cross out all of the circles.

A collection of flat shapes.

Solution

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Problem 4

Jada felt a shape in a bag.
She felt a point and a curve.
Circle the shape that could be in the bag.

A:
 
Solid shape. Sphere.

B:
 
Solid shape. Cube.

C:
 
Solid shape. Cylinder.

D:
 
Solid shape. Cone.

Solution

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Problem 5

This is the tallest skyscraper in the world.

Use the blocks to build a shape that looks like the skyscraper.

Skyscraper. Burj Khalifa.

Solution

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Problem 6

Here is how Diego sorted some shape cards.

Chart, 2 groups. Circles of different sizes. Closed shapes with 3, 4, or 6 straight sides.

Draw each shape where it belongs on Diego’s chart.

Circle.

Solution

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Problem 7

Here is a shape.
Shape.
  1. Draw the shape on dot paper.
    Dot paper.
  2. Describe the shape.

Solution

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Problem 8

Is this shape a triangle? Why or why not?

Dot paper drawing. Shape with 4 sides.

Solution

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Problem 9

  1. Draw 2 different rectangles and 2 different squares.

    Dot paper.
  2. How are the shapes the same? How are they different?

Solution

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Problem 10

 
Pattern blocks puzzle.

  1. Use pattern blocks to fill the outline in different ways.

  2. Write the number of pattern blocks you used for each way.

Solution

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Problem 11

Exploration

  1. Choose an object in the classroom or outside and use the geoblocks to build the object.
  2. Share your object with a partner and try to guess what your partner built.

Solution

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Problem 12

Exploration

Pattern block puzzle.

  1. What is the smallest number of pattern blocks you can use to fill in the puzzle?
  2. What is the largest number of pattern blocks you can use to fill in the puzzle?
  3. Can you fill in the puzzle using exactly 12 pattern blocks?

Solution

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Section B: Halves and Quarters

Problem 1

  1. Han drew this picture to show a circle split into fourths.
    Circle, partitioned into 4 parts. One half. Three other parts the same size.

    Do you agree with Han?

    Show your thinking using drawings, numbers, or words.

  2. Split the rectangle into fourths.

    Rectangle.

Solution

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Problem 2

  1. Split the circle into fourths.
  2. Color in four of the fourths.
Circle.

Solution

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Problem 3

  1. How much of each rectangle is shaded?

    2 rectangles. First rectangle, partitioned into 4 equal parts, 1 part shaded. Second rectangle, partitioned into 2 equal parts, 1 part shaded.

    ______________________    ______________________

  2. Circle the rectangle that has a bigger shaded piece.

Solution

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Problem 4

Exploration

  1. Kiran says half of the square is shaded.

    Do you agree with Kiran?

    Show your thinking using drawings, numbers, or words.

    Square, partitioned into 9 equal parts, 5 parts shaded.

  2. Priya says half of the square is shaded.

    Do you agree with Priya?

    Show your thinking using drawings, numbers, or words.

    Square, partitioned into 16 equal parts, 8 parts shaded.

Solution

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Problem 5

Exploration

Han wonders if half of the circle is shaded.
What do you think?

Circle. Pattern design, made of blue and white shapes of different sizes.

Solution

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Section C: Tell Time in Hours and Half Hours

Problem 1

  1. What time does each clock show?

    Clock. Shorter arrow points to 6. Longer arrow points to 12.

    ____:________

    Clock. Shorter arrow points to 2. Longer arrow points to 12. 

    ____:________

  2. Show each time.

    3:00

    Clock. Hours, labeled 1 through 12. Minutes, marked. No hour or minute hands.

    7:00

    Clock. Hours, labeled 1 through 12. Minutes, marked. No hour or minute hands.

Solution

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Problem 2

Han says the clock shows half past 11.

Clock. Shorter arrow points between 10 and 11. Longer arrow points to 6.  

Do you agree with Han?
Show your thinking using drawings, numbers, or words.

Solution

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Problem 3

What time does each clock show?
  1.  
    Clock. Shorter arrow points between 5 and 6. Longer arrow points to 6.

  2.  
    Clock. Shorter arrow points between 12 and 1. Longer arrow points to 6.  

  3.  
    Clock. Shorter arrow points between 6 and 7. Longer arrow points to 6.  

Solution

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Problem 4

Exploration

Show the time during the day when you might do each of these things.

  1. wake up in the morning
    Clock. Hours, labeled 1 through 12. Minutes, marked. No hour or minute hands.
  2. go to school
    Clock. Hours, labeled 1 through 12. Minutes, marked. No hour or minute hands.
  3. have a snack
    Clock. Hours, labeled 1 through 12. Minutes, marked. No hour or minute hands.
  4. go for recess
    Clock. Hours, labeled 1 through 12. Minutes, marked. No hour or minute hands.
  5. have lunch
    Clock. Hours, labeled 1 through 12. Minutes, marked. No hour or minute hands.

Solution

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