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2

Truths

&

A Lie

Measurement Edition

JoAnn Sandford Math

PLAY…PERSIST…PROVE

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Teacher Notes

There are different ways �to use this activity effectively.��Consider what may work best �for your learners.

Station Style:

Print slides 6-15 on paper and spread them out around your learning space. Have students visit different stations in their groups and record answers using printed copies of slides 4-5.
You may want duplicate copies of some stations. Some stations are quick and others require more work. Students will not spend equal amount of time at each station so consider this when setting up.
Students could be asked to complete any 7 in order to offer choices and limit time spent on the activity.

Warm-ups:

Use the slides individually to promote class discussion throughout the unit.

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2 Truths & A Lie

Group Members::�

______________

Station 1	C	Station 6	A
Station 2	A	Station 7	B
Station 3	B	Station 8	C
Station 4	B	Station 9	A
Station 5	B	Station 10	C

Assigned Questions� to explain in detail:


Question we chose:

Answer key.�These are the letters for the lies at each station.

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2 Truths & A Lie

Group Members::�

______________

Station 1		Station 6
Station 2		Station 7
Station 3		Station 8
Station 4		Station 9
Station 5		Station 10

Assigned Questions� to explain in detail:


Question we chose:

Write the letter of the lie for each station in the blanks.

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2 Truths & A Lie

Group Members::�

______________

The proof . . .

Station _____

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Measurement Rotation

Which of the following statements is a lie? Prove it!

1

A	Both nets above will fold to make cubes
B	The volume of the first cube is 8 times greater than the second cube.
C	The surface area of the second cube is half of the first

*Both pictures �are made of �congruent squares*

* Objects are not drawn to scale

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Measurement Rotation

Which of the following statements is a lie? Prove it!

If I have five congruent squares...

2

A	I can make a pentagonal pyramid if I add 1 regular pentagon �(whose side length is the same as the side length of the square)
B	I can make a hexagonal prism if I add 2 congruent regular hexagons �(whose side length is the same as the side length of the squares) �and an extra congruent square.
C	I can add one more congruent square and make a cube!

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Measurement Rotation

Which of the following statements is a lie? Prove it!

A	These prisms have the same volume
B	These prisms have the same surface area
C	Together there is a total of 9 rectangular faces.

3

* Objects are not drawn to scale

6 cm

8 cm

2 cm

10 cm

2.4 cm

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Measurement Rotation

Which of the following statements is a lie? Prove it!

A	The cylinder has the largest surface area.
B	The surface area of the rectangular prism and triangular prism are equal.
C	The triangular prism has a surface area of 144 cm².

4

* Objects are not drawn to scale

6 cm

8 cm

4 cm

8 cm

2 cm

8 cm

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Measurement Rotation

Which of the following statements is a lie? Prove it!

5

A	The surface area of the cube is 150 cm².
B	The surface area of the rectangular prism is double the cube
C	The volume of the rectangular prism is double the cube.

5 cm

10 cm

5 cm

* Objects are not drawn to scale

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Measurement Rotation

Which of the following statements is a lie? Prove it!

A	This object is a pentagonal prism
B	This object has 6 congruent rectangles
C	This object has 8 faces total

6

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Measurement Rotation

Which of the following statements is a lie? Prove it!

7

A	To find the volume of each object, �calculate the area of the base and multiply by the height.
B	The rectangular prism has the largest volume.
C	The triangular prism has the smallest volume.

* Objects are not drawn to scale

9 cm

12 cm

3 cm

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Measurement Rotation

Which of the following statements is a lie? Prove it!

8

A	The volume of this cylinder is approximately 2413 cm³.
B	To double the volume of the cylinder, double the height.
C	To double the volume of the cylinder, double the radius.

12 cm

8 cm

* Objects are not drawn to scale

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Measurement Rotation

Which of the following statements is a lie? Prove it!

9

A	The volume of this triangular prism is 48 m³.
B	The surface area of this triangular prism is 56 m².
C	The volume of the rectangular prism is double the triangular prism.

6 m

5 m

2 m

4 m

* Objects are not drawn to scale

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Measurement Rotation

Which of the following statements is a lie? Prove it!

10

A	This net contains 2 equilateral triangles and 3 congruent rectangles.
B	This arrangement will fold to create a triangular prism.
C	To find the volume of the prism, �multiply the sides of the one triangle by the sides of one rectangle.

* Objects are not drawn to scale

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2 Truths & A Lie

Create your own!

A
B
C