2.6 Geometry, Time, and Money
Unit Goals
- Students reason with shapes and their attributes and partition shapes into equal shares, building a foundation for fractions. They relate halves, fourths, and skip-counting by 5 to tell time, and solve story problems involving the values of coins and dollars.
Section A Goals
- Identify triangles, quadrilaterals, pentagons, hexagons, and cubes.
- Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces.
Section B Goals
- Partition rectangles and circles into halves, thirds, and fourths and name the pieces.
- Recognize 2 halves, 3 thirds, and 4 fourths as one whole.
- Understand that equal pieces do not need to be the same shape.
Section C Goals
- Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m.
Section D Goals
- Find the value of a group of bills and coins.
- Use addition and subtraction within 100 to solve one- and two-step word problems.
Section A: Attributes of Shapes
Problem 1
Pre-unit
Practicing Standards: 1.G.A.1
- Draw a rectangle and label it A.
- Draw a triangle and label it B.
Solution
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Problem 2
Pre-unit
Practicing Standards: 1.G.A.3
- Split the circle into 2 equal parts.
- Split the rectangle into 4 equal parts.
Solution
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Problem 3
Pre-unit
Practicing Standards: 1.MD.B.3
Write the time each clock shows.
Solution
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Problem 4
Pre-unit
Practicing Standards: 2.NBT.B.5
Find the value of each expression.
- \(25 + 25 + 10 + 5\)
- \(83 - 42\)
- \(37 + 54\)
- \(66 - 49\)
Solution
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Problem 5
Here are some shapes.
- Find a triangle and label it A. Explain why the shape is a triangle.
- Find a pentagon and label it B. Explain why the shape is a pentagon.
Solution
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Problem 6
-
Diego drew this shape and said that it is a pentagon. Do you agree with Diego? Explain your reasoning.
- Draw a pentagon on the grid.
Solution
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Problem 7
- Draw a quadrilateral that has 3 sides that are 2 inches long.
- Draw a different quadrilateral that has 3 sides that are 2 inches long.
Solution
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Problem 8
This image represents a solid shape. Describe this shape.
Solution
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Problem 9
Exploration
Priya says this shape is a quadrilateral.
Han says this shape is a pentagon.
Who do you agree with?
Explain your reasoning.
Solution
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Problem 10
Exploration
-
Can you draw a pentagon with 5 square corners? Use the dots if they are helpful.
-
Elena says this hexagon has 6 square corners. Do you agree with Elena? Explain your reasoning.
Solution
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Section B: Halves, Thirds, and Fourths
Problem 1
Here is a pattern block shape Lin made.
- Describe the blocks Lin used to make her shape.
- Build Lin’s shape using only equal-size shapes.
Solution
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Problem 2
-
Andre drew this picture and said each part of the square is a fourth. Do you agree with Andre? Explain.
-
Partition the square into 4 equal parts in a different way.
Solution
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Problem 3
Diego cut a square into two equal pieces and then cut one of the pieces into two equal pieces. He says the shaded part is a third of the square. Do you agree with Diego? Explain your reasoning.
Solution
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Problem 4
-
Partition the circle into 4 equal parts.
-
Shade 3 parts blue and one part red.
-
How much of the circle is shaded?
________________________
Solution
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Problem 5
Exploration
Is the square divided into fourths? Show your reasoning.
Solution
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Problem 6
Exploration
Can you divide the square into equal parts?
-
4 equal parts with 3 of the parts different shapes
-
4 equal parts with 4 of the parts different shapes
Solution
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Section C: Time on the Clock
Problem 1
- Write the time shown on the clocks using the words half past, quarter past, or quarter till.
-
Draw hands on the clock face to show half past 5.
Solution
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Problem 2
Priya says that the clock shows that it's 7:11. Do you agree with Priya? Explain your reasoning.
Solution
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Problem 3
-
The clock shows when Clare went to bed. Write the time, including a.m. or p.m. ____________________ -
The clock shows when Noah got to school. Write the time, including a.m. or p.m. ____________________
Solution
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Problem 4
Exploration
Mai got to school at 7:35 a.m. She left school to go home 375 minutes later. What time did Mai leave to go home? Explain your reasoning.
Solution
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Problem 5
Exploration
Fill out the table with some of the things you do during the day and the time for each activity.
activity | time |
---|---|
wake up | |
leave for school | |
Solution
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Problem 6
Exploration
This clock only has an hour hand.
What can you say about the time shown on the clock?
Solution
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Section D: The Value of Money
Problem 1
![3 dimes. 2 nickels. 4 pennies.](https://staging-cms-im.s3.amazonaws.com/i07ghqr5rq04p4ryp8vri2zfbzeu?response-content-disposition=inline%3B%20filename%3D%22PP%202.6.D.%20Lesson%2015.png%22%3B%20filename%2A%3DUTF-8%27%27PP%25202.6.D.%2520Lesson%252015.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T051908Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=793678e9a618a2adb403b20af6009e649d85193e39b95add68c87cf6b067390e)
- Which coins are shown in the picture?
- What is the value of the coins altogether?
Solution
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Problem 2
![2 quarters. 3 dimes. 1 nickel. 2 pennies.](https://staging-cms-im.s3.amazonaws.com/gerwvmmrcu74va7mfzqptk597tb1?response-content-disposition=inline%3B%20filename%3D%22PP%202.6.D.%20Lesson%2016.png%22%3B%20filename%2A%3DUTF-8%27%27PP%25202.6.D.%2520Lesson%252016.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T051908Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=087f932fe66b187d751a894e54b5c52002bc54558934b2f40ef8dd68e25e6397)
-
Which coins are shown in the picture?
-
What is the value of the coins altogether?
Solution
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Problem 3
Select 3 collections of coins that show a dollar.
![4 quarters.](https://staging-cms-im.s3.amazonaws.com/o17m4t65sfjm8ae84jchdn8ht8gf?response-content-disposition=inline%3B%20filename%3D%22Grade2Unit6.PP.Coins.A%20%25281%2529.png%22%3B%20filename%2A%3DUTF-8%27%27Grade2Unit6.PP.Coins.A%2520%25281%2529.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T051908Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=f7a9ba9875948baf71ae2d111a0c60e147de66e6bdc344f881acceafe4c74944)
![10 nickels.](https://staging-cms-im.s3.amazonaws.com/xcprloqznvs1ju776j2zoys91cgz?response-content-disposition=inline%3B%20filename%3D%22Grade2Unit6.PP.Coins.B%20%25283%2529.png%22%3B%20filename%2A%3DUTF-8%27%27Grade2Unit6.PP.Coins.B%2520%25283%2529.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T051908Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=655f4916546b20d5221520330d74b92f734a7757871a7f91b12c3447bbb93998)
![Coins. 3 quarters. 3 dimes.](https://staging-cms-im.s3.amazonaws.com/fb2366gt7nxygupgm5h0ogwl0moo?response-content-disposition=inline%3B%20filename%3D%22Grade2Unit6.PP.Coins.C%20%25281%2529.png%22%3B%20filename%2A%3DUTF-8%27%27Grade2Unit6.PP.Coins.C%2520%25281%2529.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T051908Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=555ce8d3d3b73f71df7b506bb9449977ad0d3848d14bb9dce470997e4df0228e)
![Coins. 3 quarters. 5 nickels.](https://staging-cms-im.s3.amazonaws.com/j58ffaj7d5m9jbyj7l07n2oy9xbx?response-content-disposition=inline%3B%20filename%3D%22Grade2Unit6.PP.Coins.D%20%25281%2529.png%22%3B%20filename%2A%3DUTF-8%27%27Grade2Unit6.PP.Coins.D%2520%25281%2529.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T051908Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=1673ec3206b906a9b0ab30d87b7db738b6ccb52ee025e0e74d476a858de0c5d9)
![Coins. 2 quarters. 2 dimes. 3 nickels. 1 penny.](https://staging-cms-im.s3.amazonaws.com/8a294tuh7z6u5o6grqhtcaxlr4m8?response-content-disposition=inline%3B%20filename%3D%22Grade2Unit6.PP.Coins.E%20%25281%2529.png%22%3B%20filename%2A%3DUTF-8%27%27Grade2Unit6.PP.Coins.E%2520%25281%2529.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T051908Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=1817626745db6e5b69c78f9d8abe56a252444bf24eafb7a0f79f2666087d88c6)
![Coins. 3 quarters. 2 dimes. 5 pennies.](https://staging-cms-im.s3.amazonaws.com/jzowaimcdsf83a0o0urfe8p9ssl9?response-content-disposition=inline%3B%20filename%3D%22Grade2Unit6.PP.Coins.F%20%25281%2529.png%22%3B%20filename%2A%3DUTF-8%27%27Grade2Unit6.PP.Coins.F%2520%25281%2529.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T051908Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=24c9df00e10df7532ee8470aa513e09646174c90c7785b0b92dda0e4b5710945)
Solution
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Problem 4
Mai has 92 cents. She gives Lin 38 cents. How many cents does Mai have now?
Solution
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Problem 5
Diego's bike cost $55.
That's $27 less than Clare’s bike cost. How many dollars did Clare’s bike cost?
Solution
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Problem 6
Exploration
Lin has 7 coins. The value of the coins altogether is 31 cents.
- What coins could Lin have?
- Can you find more than one possibility?
- Can you find more than two possibilities?
Solution
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Problem 7
Exploration
item | cost (cents) |
notebook | 25 |
colored pencil | 18 |
pencil box | 39 |
glue stick | 4 |
Jada spent exactly one dollar on school supplies. What could Jada have bought? Find 2 different solutions.
Solution
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