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.
Section A: Flat and Solid Shapes
Problem 1
Pre-unit
Practicing Standards: K.G.A.2
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.
Solution
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Problem 3
Pre-unit
Practicing Standards: K.G.A.2
Cross out all of the circles.
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.
![Solid shape. Sphere.](https://staging-cms-im.s3.amazonaws.com/p50whejxlk6s0nlhhb7eu33wxwoy?response-content-disposition=inline%3B%20filename%3D%22sphere.png%22%3B%20filename%2A%3DUTF-8%27%27sphere.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240722%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240722T141825Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=8d1f0f3431190517d8338f2c0b5c2a1accfa0199b6b2d8a293ed06f45244b990)
![Solid shape. Cube.](https://staging-cms-im.s3.amazonaws.com/c7rhb393w57sg5144altme672id9?response-content-disposition=inline%3B%20filename%3D%22cube.png%22%3B%20filename%2A%3DUTF-8%27%27cube.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240722%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240722T141825Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=95c183f7130b692bd3de33a761979489fe51181f441ae372d4ada5b243f2ab96)
![Solid shape. Cylinder.](https://staging-cms-im.s3.amazonaws.com/4inoa02m5jfzmarpabw4gu53jnez?response-content-disposition=inline%3B%20filename%3D%22cylinder.png%22%3B%20filename%2A%3DUTF-8%27%27cylinder.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240722%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240722T141825Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=c54bdc7b902ac6cb0f05ccda87203e731b5cf4ee06e7fb9380f070cd394114ab)
![Solid shape. Cone.](https://staging-cms-im.s3.amazonaws.com/yr0zz11io69wlz50fxsdjtfmumhb?response-content-disposition=inline%3B%20filename%3D%22cone.png%22%3B%20filename%2A%3DUTF-8%27%27cone.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240722%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240722T141825Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=a9c636c3569ad6696cfa3d83f15962b3c7f15d93234d9a551937f9efc987d312)
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.](https://staging-cms-im.s3.amazonaws.com/rmdyxwxxhsytc70jf4ouvtjb5qmp?response-content-disposition=inline%3B%20filename%3D%22Burj_Khalifa%25281%2529.jpg%22%3B%20filename%2A%3DUTF-8%27%27Burj_Khalifa%25281%2529.jpg&response-content-type=image%2Fjpeg&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240722%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240722T141825Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=8bf791f64ab6cc794c55e813add5cc80b52d464084cc3c704d882fc15fa427c3)
Solution
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Problem 6
Draw each shape where it belongs on Diego’s chart.
Solution
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Problem 7
- Draw the shape on dot paper.
- Describe the shape.
Solution
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Problem 8
Is this shape a triangle? Why or why not?
Solution
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Problem 9
-
Draw 2 different rectangles and 2 different squares.
- How are the shapes the same? How are they different?
Solution
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Problem 10
-
Use pattern blocks to fill the outline in different ways.
-
Write the number of pattern blocks you used for each way.
Solution
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Problem 11
Exploration
- Choose an object in the classroom or outside and use the geoblocks to build the object.
- Share your object with a partner and try to guess what your partner built.
Solution
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Problem 12
Exploration
- What is the smallest number of pattern blocks you can use to fill in the puzzle?
- What is the largest number of pattern blocks you can use to fill in the puzzle?
- Can you fill in the puzzle using exactly 12 pattern blocks?
Solution
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Section B: Halves and Quarters
Problem 1
- Han drew this picture to show a circle split into fourths.
Do you agree with Han?
Show your thinking using drawings, numbers, or words.
-
Split the rectangle into fourths.
Solution
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Problem 2
- Split the circle into fourths.
- Color in four of the fourths.
Solution
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Problem 3
- How much of each rectangle is shaded?
______________________ ______________________
- Circle the rectangle that has a bigger shaded piece.
Solution
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Problem 4
Exploration
-
Kiran says half of the square is shaded.
Do you agree with Kiran?
Show your thinking using drawings, numbers, or words.
-
Priya says half of the square is shaded.
Do you agree with Priya?
Show your thinking using drawings, numbers, or words.
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.](https://staging-cms-im.s3.amazonaws.com/ligoliv86wdul0jalwe7lzdedz2k?response-content-disposition=inline%3B%20filename%3D%22900px-3-7_kisrhombille.svg.png%22%3B%20filename%2A%3DUTF-8%27%27900px-3-7_kisrhombille.svg.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240722%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240722T141825Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=edf9fa626a3dfa212746c72b81b7b1cbae2c535257ca3e83703d61b7c00d78bf)
Solution
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Section C: Tell Time in Hours and Half Hours
Problem 1
-
What time does each clock show?
____:________
-
Show each time.
3:00
7:00
Solution
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Problem 2
Han says the clock shows half past 11.
Do you agree with Han?
Show your thinking using drawings, numbers, or words.
Solution
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Problem 3
Solution
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Problem 4
Exploration
Show the time during the day when you might do each of these things.
- wake up in the morning
- go to school
- have a snack
- go for recess
- have lunch
Solution
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