Engaging Mathematics:
Grade 6 TEKS-Based Activities
Student Name: ________________________________________ Date: ________________
Measurement Relationships
Use the Measurement Relationships Cards to help you complete the statements below.
The ratio of gallons to pints is
The ratio of quarts to cups is
_______ : _______
_______ : _______
(gallons)
(pints)
(quarts)
so
(cups)
so
2 gallons: ______ pints
5 quarts: ______ cups
The ratio of cups to pints is
The ratio of pints to quarts is
_______ : _______
_______ : _______
(cups)
(pints)
so
24 cups: ______ pints
(pints)
(quarts)
so
17 pints: ______ quarts
Communicating About Mathematics
Explain how you could use proportional reasoning to determine the number of quarts in
1
2 gallons.
2
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Engaging Mathematics:
Grade 6 TEKS-Based Activities
Student Name: ________________________________________ Date: ________________
Cross-Number Puzzle
Complete the cross-number puzzle below. If needed, use information from the Mathematics
Chart to find your answers.
Across
1 foot
3 feet
1

12 inches ? inches
Down
3 Ferris measured a piece of tape
that was 6 meters long. How many
centimeters are equal to 6 meters?
2 Jordan bought two 2-liter bottles of
soda. What is the volume of the
soda purchased in milliliters?
5
4 Esteban’s brother celebrated his
16th birthday today. How many
weeks old is his brother?
7 The perimeter of the rug in Caitlyn’s
room is 14 feet. How many inches
are equal to 14 feet?
8
3 gallons
1 gallon

? fluid ounces 128 fluid ounces
9
? mm 10 mm

80 cm
1 cm
1 pound
18 pounds

16ounces ? ounces
Communicating About Mathematics
Describe a strategy you used to determine the solution to two clues in the puzzle.
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Engaging Mathematics:
Grade 6 TEKS-Based Activities
Student Name: ________________________________________ Date: ________________
Measurement Relationships
1.
2.
Use the Mathematics Chart to determine the relationship between the units of measure
given in each table and complete the table.
Use the data on each table to complete the proportion and describe the proportional
relationship in words.
1
Number of Liters
3
7
8
10,000
Number of Milliliters
Proportion
Words
Liters


Milliliters
3 , 000
Number of
Hours
Number of
Days
24
120
2
4
Proportion
8
Words
Hours

Days

5
Communicating About Mathematics
Explain why measurement conversions represent a proportional relationship.
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Engaging Mathematics:
Grade 6 TEKS-Based Activities
Measurement Relationships Cards
Cut along the dotted lines. Two sets of cards are provided.
Gallon
Quart
Quart
Quart
Quart
Cups
Cups
Cups
Cups
Cups
Cups
Cups
Cups
Cups
Cups
Cups
Cups
Cups
Cups
Cups
Cups
Pint Pint Pint Pint Pint Pint Pint Pint
Gallon
Quart
Quart
Quart
Quart
Cups
Cups
Cups
Cups
Cups
Cups
Cups
Cups
Cups
Cups
Cups
Cups
Cups
Cups
Cups
Cups
Pint Pint Pint Pint Pint Pint Pint Pint
216
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Engaging Mathematics:
Grade 6 TEKS-Based Activities
Student Name: ________________________________________ Date: ________________
Round Robin: Triangles

Pass your paper to the person seated at your right and draw the first triangle described on
the paper you have received. You may work with your group.

Upon completion, pass the papers to the right again and draw the second triangle. Again,
you may work together.

Continue this process for the remaining triangles.
1. Draw a triangle with one angle that
measures 65  . Describe the other
two angles in the triangle.
2. Draw a triangle with one right angle.
Describe the other two angles in the
triangle.
3. Draw a triangle with one obtuse
angle. Describe the other two angles
in the triangle.
4. Draw a triangle with two acute
angles. Describe the other angle in
the triangle.
Communicating About Mathematics
Is it possible to have a triangle with two right angles? Explain your thinking.
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183
Engaging Mathematics:
Grade 6 TEKS-Based Activities
Student Name: ________________________________________ Date: ________________
Triangle Match



Find two Triangle Match Cards that correctly describes each triangle shown in the table.
Tape or glue your cards in the table.
Tape or glue the cards not used on the back of this paper.
Triangle
Descriptions
1
2
20
3
35
4
37
Communicating About Mathematics
Describe the similarities and differences among the angles of an equilateral triangle and an
isosceles triangle.
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Engaging Mathematics:
Grade 6 TEKS-Based Activities
Triangle Match Cards
Cut along the dotted lines. Two sets of cards are provided.
Right Triangle
Acute Triangle
Isosceles Triangle
A triangle with one
right angle
All angles measure
less than 90°
Base angles are
congruent
Obtuse Triangle
Exactly one angle
measures more
than 90°
All angles are
congruent
Right Triangle
Acute Triangle
Isosceles Triangle
A triangle with one
right angle
All angles measure
less than 90°
Base angles are
congruent
Obtuse Triangle
Exactly one angle
measures more
than 90°
All angles are
congruent
Equilateral Triangle
Equilateral Triangle
188
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Engaging Mathematics:
Grade 6 TEKS-Based Activities
Student Name: ________________________________________ Date: ________________
Add My Angles, Triangles
1.
2.
3.
Measure each angle and record the measurement in the table.
Find the sum of the angles for each triangle and record the sum in the table.
Label each triangle as a right, acute, or obtuse triangle.
__________ Triangle
__________ Triangle
__________ Triangle
Measure of
Angle A
Measure of
Angle A
Measure of
Angle A
Measure of
Angle B
Measure of
Angle B
Measure of
Angle B
Measure of
Angle C
Measure of
Angle C
Measure of
Angle C
Sum of the
Angles
Sum of the
Angles
Sum of the
Angles
Communicating About Mathematics
Is it possible to have a triangle whose sum of angle measurements is greater than
180°? Explain your thinking.
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185
Engaging Mathematics:
Grade 6 TEKS-Based Activities
Student Name: ________________________________________ Date: ________________
Area Relationships
1. Use a metric ruler to measure the dimensions of each figure below to the nearest
centimeter.
2. Record the dimensions in the table.
3. Record a process for using the dimensions to determine the area of each figure.
Area of Figures
Figure
Dimensions
Process for Determining Area
Area
A
Length:
Width:
28 cm2
B
Length:
Width:
9 cm2
C
Base:
Height:
15 cm2
D
Base:
Height:
4 cm2
A
B
C
D
Communicating About Mathematics
How could you use words to describe the process for determining the area of the triangle?
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237
Engaging Mathematics:
Grade 6 TEKS-Based Activities
Student Name: ________________________________________ Date: ________________
Measuring Area
1.
2.
3.
4.
Use the centimeter grid overlay to estimate the area of each two-dimensional geometric
figure. Record your estimate in the space provided.
Cut out each of the two-dimensional geometric figures. Cut along the dotted lines and
rearrange the pieces into a rectangle.
Glue or tape the two-dimensional geometric figures into the space provided.
Use the centimeter grid overlay to measure the area. Record the actual area in the space
provided.
Two-Dimensional Geometric Figure
Estimated Area in
Square Centimeters
Actual Area in
Square Centimeters
Communicating About Mathematics
Why can you separate a figure into parts and rearrange the parts to find its area?
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Engaging Mathematics:
Grade 6 TEKS-Based Activities
Two-Dimensional Geometric Figures
Cut along the bold dotted lines. Two sets of two-dimensional geometric figures are provided.
234
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Engaging Mathematics:
Grade 6 TEKS-Based Activities
Centimeter Grid Overlay
Cut along the bold dotted lines. Two centimeter grid overlays are provided.
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235
Engaging Mathematics:
Grade 6 TEKS-Based Activities
Student Name: ________________________________________ Date: ________________
Build It
The dimensions of two rectangular prisms are listed below. Use centimeter cubes to build each
rectangular prism and sketch a picture of the rectangular prism on the grid paper. Record the
volume of each rectangular prism.
Rectangular Prism A
Length:
3 units
Width:
3 units
Volume:
Height:
3 units
Rectangular Prism B
Length:
2 units
Width:
7 units
Height:
3 units
Volume:
Communicating About Mathematics
How was your procedure for determining the volume of the cube similar to your procedure for
determining the volume of the rectangular prism? How was your procedure different?
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Engaging Mathematics:
Grade 6 TEKS-Based Activities
Student Name: ________________________________________ Date: ________________
Length, Width, and Height, Oh My!
Complete the table.
Figure
Length
Width
Height
Process
Volume
64 cubic
cm
30 cubic
cm
72 cubic
cm
What is the relationship between the length, width, and height of each prism and the prism's
volume?
Communicating About Mathematics
Why is volume measured in cubic units?
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249
Engaging Mathematics:
Grade 6 TEKS-Based Activities
Student Name: ________________________________________ Date: ________________
What’s My Volume?
1. Cut apart the Formula and Solution Cards.
2. Match each card to the figure that it represents.
3. Glue or tape the cards in place.
Communicating About Mathematics
Choose one set of matched cards. How does each number in the formula represent attributes
of the prism?
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251
Engaging Mathematics:
Grade 6 TEKS-Based Activities
Formula Cards
Cut along the dotted lines. Two sets of cards are provided.
V  23
V  32  2
V  12  8
V  82  1
V  23
V  32  2
V  12  8
V  82  1
V  3  2 1
V  3  2 1
Solution Cards
Cut along the dotted lines. Two sets of cards are provided.
252
V = 8 cubic in.
V = 64 cubic cm
V = 18 cubic in.
V = 8 cubic cm
V = 8 cubic in.
V = 64 cubic cm
V = 18 cubic in.
V = 8 cubic cm
V = 6 cubic in.
V = 6 cubic in.
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