Geometry Tasks and Answer Keys - ALEX · Task #4 - Standard #27 . Have students either cut out or...

Geometry Tasks and

Answer Keys

Website: http://alex.state.al.us/ccrs/node/314

http://alex.state.al.us/ccrs/node/314

Name: ________________________________________________ Date: ________________

Task #1 - Standard #26

The students in Ms. Duncan’s class were drawing geometric figures. First she asked them to draw some points, and then she asked them to draw all the line segments they could that join two of their points.

a. Joni drew 4 points and then drew 4 line segments between them:

Are there other line segments that Joni could have drawn? Explain your reasoning.

b. Tony drew 3 points and then drew 3 line segments between them:

Are there other line segments that Tony could have drawn? Explain your reasoning.

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c. Here are 5 points. Draw all the line segments you can connecting pairs of them.

d. Starting with just two points, how many line segments can you draw between them?

e. Tony decided that he could actually draw two line segments between two points, and maybe even more. This is what he drew:

What do you think of Tony’s idea? Discuss it with a partner and record your thinking.





Name: ________________________________________________ Date: ________________


Moving Around Town

The map below shows four highways that connect five towns.

Part 1:

Each town is labeled by a point on the map.

What are the labels for the five towns?

Which roads are line segments?

Which roads are rays?

Which roads are lines?

Name two pairs of perpendicular roads.

Name two pairs of parallel roads.

Part Two:

Write a sentence describing the differences between line segments, rays, and lines.

From http://3-5cctask.ncdpi.wikispaces.net/ are licensed under a Creative Commons Attribution Share-Alike Non-Commercial 3.0 License

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Name: ________________________________________________ Date: ________________


Making Roads

Part One:

The map below shows three towns (A, B, and C).

1) Draw three roads that connect the 3 towns. The roads should include 1 line, 1 line segment, and 1 ray.

2) Make a town D so that the road between A and D is perpendicular to the road between C and D.

3) Make 2 more towns (E and F) and connect the towns with 1 line and 1 ray. One of the roads should be parallel to another road that you already have.

Part Two:

If you were in charge of the road system, and wanted to leave open the possibility of building more towns in the future, should most of your roads be line segments, lines, or rays?


A

B C




Name: _________________________________________________ Date:_______________ Task #4 - Standard #27 Have students either cut out or look at the Quadrilateral Cards (below).

On the Student Task Sheet, sort the Quadrilateral Cards and list all of the shapes that meet the certain attribute chosen. Students should also list those attributes. You can choose the attribute you want the students to sort by, or let them choose attributes.

For example: a student may list only shape 26 for the attributes: no right angles, opposite sides the same length, 2 sets of parallel sides.

Sorting Quadrilateral Cards





Student Task Sorting Sheet

Sort Number Shapes Attribute

1

2

3

4

5

6

7





Name: _________________________________________________ Date:_______________

Task #5 -Standard #27

a. Which of the polygons are right triangles? Choose a measuring tool to help you determine this.

b. For each right triangle, identify the right angle by marking it with a small square. Explain why the other polygons are not right triangles.





Name: _________________________________________ Date: ___________________


a. Define what a trapezoid is in your own words. Compare your definition with a partner.

b. Is this parallelogram a trapezoid according to your definition? Explain.





Name: __________________________________________________ Date:______________

Task # 7 - Standard #28

Part 1: Out of the 26 capital letters in the alphabet, sort them in the groups below.

Part 2: Explain how you solved one of the tasks.

Symmetrical Letters

Part 1:

Out of the 26 capital letters in the alphabet, sort them in the following groups:

0 lines of symmetry

1 line of symmetry

2 lines of symmetry

More than 2 lines of symmetry

Part 2:

Explain how you solved one of the groups above.





Answer Key

Task 1:

Standard #26





Task 2: Moving Around Town

Standard #26

Solutions:

Labels - A, B, C, D, E Segments – AC, BD Rays – AB, AE, DA Lines – ED Perpendicular roads – AE and AB, AB and BD, AE and ED, or BD and DE Parallel roads – AB and ED, AE and BD AND

The sentence clearly and accurately describes the difference between line segments, rays, and lines.

Task 3: Making Roads

Standard #26

Solutions: 1) The three roads between A, B, and C are line segments, lines, and rays. 2) D is in the correct place, 3) E and F are in the correct place.

AND

The sentence explains that lines would be best since they extend in both directions.

Task 4: Sorting Quadrilateral Cards

Standard #27

Solution: Students accurately and correctly sort shapes each time. For example: a student may list only shape 26 for the attributes: 4 right angles, 4 sides the same length, 2 sets of parallel sides. From http://3-5cctask.ncdpi.wikispaces.net/ are licensed under a Creative Commons Attribution Share-Alike Non-Commercial 3.0 License




Task 5: Standard #27





Task 6: Standard #27

Task 7: Symmetrical Letters Standard #28 Possible solutions according to the formation of the letter.

Part 1: No lines- F, G, J, L, N, P, Q, R, S, Z

1 line- A, B, C, D, E, K, M, T, U, V, W, Y

2 lines- H, I, O, X

More than 2 lines – none

Part 2: There is a clear and accurate explanation,





Geometry Tasks and Answer Keys - ALEX · Task #4 - Standard #27 . Have students either cut out or...

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