Name:
Date:
1.1: Look at the fact family you wrote for Problem 4. You can say
that 14 is 7 times as great as 2. You can also say that 14 is 2
times as great as 7. Write similar statements for 8 * 6 = 48.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
4. a. Complete the
fact triangle.
b. Write
the fact
family for this triangle
_______ = _______
_______ = _______
_______ = _______
_______ = _______
1.3: Willa wrote the following true statements based on the fact
family she wrote for Problem 4: 30 is 5 times as great as 6, and
30 is 6 times as great as 5. Write similar statements for 7 * 6 =
42.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
6. Pencils are packed 18 to a box.
How many pencils are in 9 boxes?
____________________________
(unit)
1.5: Explain how you solved Problem 6.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
4. Math class ends at 2:20 PM.
It is 1:53 PM. How many
more minutes before math
class ends?
____________________________
(unit)
1.6: Explain how you know your answer is correct for Problem 4.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
3. List all the factors of 64.
1.8: Was Jason correct when he said that 64 is a prime number in
Problem 3? Explain your answer.
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____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
2.2: Leroy rounded 56.199 to 60. Rosina said that he was
incorrect. Do you agree or disagree with Rosina?
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
5. Circle the obtuse angles.
2.3: Explain how you know which angles in Problem 5 are obtuse
without measuring them.
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____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
2. Multiply.
a. 60 * 4 = ________
b. 60 * 40 = ________
c. 60 * 400 = ________
d. 60 [10s] = ________
e. 600 [10s] = ________
f. 600 [100s] = ________
2.4: Explain how 60 * 4 from Problem 2 can help you solve
240 ÷ 60.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
2.5: Explain how you solved Problem 5a. Include in your
explanation the strategies and reasoning used.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
2. Solve.
2.6: Write a number story for Problem 2a.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
2.7: Explain how you solved Problem 5b. Include in your
explanation the strategies and reasoning used.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
1. Which figure is congruent to
Figure Z?
3.3: Explain how you solved Problem 1. Include reasons why your
answer is correct.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
5. List all the factors of 48.
3.5: In Problem 5, will there be an even or an odd number of
factors?
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
4. I am a polygon. I have
fewer sides than a
quadrangle. Draw me in the
space below.
What shape am I?
_____________________
3.6: Maddie did Problem 4 by drawing and naming a trapezoid.
What’s wrong with that answer? How would you help Maddie
know the correct figure to draw and name?
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
3.7: Explain how you determined the first number pattern in
Problem 4.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
3.8: Blaire wrote the following true statement based on the
questions for Problem 6: 450 is 90 times as great as 5. Write
similar statements for the question “How many 5s are in 35,000?”
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
4. I have four sides. All
opposite sides are parallel. I
have no right angles.
Draw me in the space below.
I am called a ______________.
3.9: John called his drawing in Problem 4 a parallelogram, and
Jack called his drawing a rhombus. Who was correct?
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
4. Javier has $5.00 to buy school
supplies. He wants one pack of pencils
for $1.38, a notebook for $2.74, and
some writing paper for $1.29. If he has
enough money, how much change will
he get back?
_______________________
If not, how much more money does he
need?
_______________________
4.1: Explain your answer to Problem 4.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
4.2: Explain why your answer to Problem 4 is correct.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
4.5: Explain how you used the table data in Problem 1 to make
your prediction. Include the number models for your calculations.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
3. Write the prime factorization
for 200.
4.6: Compare the prime factorization for 200 in Problem 3 with the
prime factorization for 400.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
4.7: Explain how you determined the placement of the decimal
point for Problem 4f.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
5.3: Explain how you converted the fractions to mixed numbers in
Problem 2.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
5.7: Explain how you round 0.725 to the nearest hundredth.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
5.8: Explain the strategies you used to compare and order the
fractions in Problem 5.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
5.9: You have been asked to report the results of the preferred
lunch survey in Problem 3. Which graph would you use in your
presentation? Explain why.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
4. Marcus had $5 to spend on lunch.
He bought a hot dog for $1.75 and
some French fries for $0.69. How
much money did he have left to
spent on dessert?
_____________
5.11: Describe the strategy you used to solve Problem 4 and
explain your reasoning.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
Write equivalent decimals and
percents for these fractions.
7/
20
= ______ = ______
2/
5
= ______ = ______
2/
3
= ______ = ______
5.12: Explain how you would rename 2/5 as a decimal and as a
percent without using a calculator.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
1. Fill in the missing values on the
number lines
____ ____ ____
____
____
____
____
____
____
____ ____ ____ ____
6.1: If you extended the top number line in Problem 1, would 100
be one of the missing numbers? Explain.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
6.4: Explain your method for finding the savings in Problem 5.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
6.5: Explain how you solved Problem 4a, including the strategies
and reasoning that you used.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
6.7: Explain how you solved Problem 4a, including the strategies
and reasoning that you used.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
3. Esther did 5 standing jumps. Her
longest jump was 50 in. Could her
average jump be 53 in.?
_______________
Create a data set for Esther’s
jumps that could have this
average.
_______________________
6.9: Explain your answer to the question in Problem 3 and how
you chose the values for the data set.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
6.10: Using 93 from Problem 3 as an example, explain the words
base and exponent.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
7.1: Explain how to use division to find equivalent fractions.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
2. Make a stem-and-leaf plot of the
hand-span measures in Ms. Grip’s
fifth-grade class.
163, 179, 170, 165, 182, 157, 154, 165,
170, 175, 162, 185, 158, 170, 165, 154
____________ ____________
7.4: Use your solution for Problem 2 to explain how to read a
stem-and-leaf plot.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
3. Draw and label a 170° angle.
7.6: Explain how to use your Geometry Template to draw the
angle in Problem 3.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
4. Write the next two numbers in
each number sequence.
7.7: Explain how you identified the missing numbers in Problem
4a.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
2. Solve.
7.11: Explain your strategy for solving the open number sentence
in Problem 2a.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
8.2: Explain your strategy for finding the values of the variables in
Problem 5.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
2. Write each numeral in numberand-word notation.
a. 56,000,000 ________________
b. 423,000 ___________________
c. 18,000,000,000 _____________
d. 9,500,000 _________________
8.3: Explain one advantage and one disadvantage to using
number and word notation in Problem 2.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
3. True or False? Write T or F.
a. All rectangles are
parallelograms. ______
b. A kite is not a
parallelogram. ______
c. Some parallelograms are
squares. ______
d. Some trapezoids are not
quadrangles. ______
8.3: Explain how you determined your answer to Problem 3c.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
8.4: Explain how you found the answer to Problem 1b. Include the
strategies and the reasoning that you used.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
8.5: Write one of the false number sentences from Problem 2.
Then write it correctly so it is true, and explain your solution.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
4. Complete.
8.8: Explain how to use the division rule for finding equivalent
fractions to solve Problem 4b.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
8.9: How can you tell that the shape you drew in Problem 5 has a
set of perpendicular sides? How could you change plotted point
(4,2) to make parallel sides?
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
1. Rename each fraction as a mixed
number or a whole number.
8.9: Explain how to rename an improper fraction as a mixed
number. Use Problem 1a as an example.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
2. Multiply.
9.1: Explain how you solved Problem 2d. How might you check
your answer?
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
9.2: Explain the strategy and reasoning you would use to solve
Problem 4c with the standard multiplication algorithm.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
9.2: Explain your solution strategy for completing the table and
finding the rule for Problem 6.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
9.3: Explain how you could determine the volume of the
rectangular prism in Problem 3 by counting the unit cubes. Then
write a number model for the formula you could use to find the
volume.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
9.4: Explain how you could determine the volume of the
rectangular prism in Problem 2 by counting the unit cubes. Then
write a number volume for the formula you could use to find the
volume.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
9.5: In Problem 3c, find the equivalent measure in kilometers (km)
and millimeters (mm). In Problem 3e, find the equivalent measure
in meters (m) and kilometers (km). Explain what information you
needed to make these conversions.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
1.
_______________________
9.6: What transformation of the original parallelogram results in
the new parallelogram? Explain.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
1. Write the ordered pairs for each point
on the coordinate grid.
9.7: Explain your method of remembering the steps for plotting
ordered number pairs on a coordinate grid.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
5. Write a number model for fraction
multiplication that describes each
of the shaded rectangles.
a. __________________________
b. __________________________
c. __________________________
9.7: Write a fraction multiplication number story for Problem 5b.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
9.8: Explain the strategy you used to solve Problem 1c and
explain your reasoning.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
9.9: Draw and label a preimage of a simple figure and then draw
the image rotated 180° clockwise about a point.
Name:
Date:
9.10: Explain how you found the least common denominator for
Problem 3.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
9.10: Explain the strategy you used to solve Problem 1d and the
reasoning used.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
2. Add or subtract.
a. -7 + (-3) = _____
b. 5 – (-8) = _____
c. -17 + 10 = _____
d. -15 – 15 = _____
e. 3 + (-20) = _____
10.1: Explain how you would use a number line to solve Problem
2a, -7 + (-3) = ____.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
10.1: Explain the strategy and reasoning you would use to solve
Problem 3b with a standard multiplication algorithm.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
4. a. Which has the greater area, a
3 ft × 2 ft rectangle or a
triangle with base 3 ft and
height 5 ft?
__________________
b. Which has the greater area, a
triangle with base 10 cm and
height 4 cm or a
parallelogram with base 5 cm
and height 6 cm?
__________________
10.2: Explain your solution strategy for Problem 4a.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
3. Multiply. Use the algorithm of your
choice.
Show your work.
a. 43
*78
b. 19
*86
c. 79
*42
10.3: Explain the strategy and reasoning you would use to solve
Problem 3b with the standard multiplication algorithm.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
10.3: Explain how you found the volume for Problem 5.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
2. Circle the numbers below that are
divisible by 9.
3,735
2,043
769
192
594
10.4: In Problem 2, explain how to determine whether 3,735 is
divisible by 9 without actually dividing.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
10.6: Explain how you found the answer to Problem 2b. Include
the strategies and the reasoning that you used.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
2. Use a calculator to rename each of
the following in standard notation.
10.9: Exchange the exponent and base for each of the numbers
in Problem 2, for example, 217  172. Write the standard notation
for each new number. Which number is larger than its
corresponding original number? Explain why.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
5. Make a factor tree to find the prime
factorization of 100.
11.2: Explain how to use a factor tree to find the prime
factorization for a number. Use your factor tree from Problem 5 as
an example.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
11.5: Explain how you found the simplest form of
1.
29
/3 in Problem
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
11.6: Explain how you found the value for the width of the base of
the rectangular prism in Problem 2.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
2. A scooter is on sale for 30% of the
list price. The sale price is $84.
What is the list price?
_______________
12.1: Explain your solution strategy for Problem 2.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
12.4: If you did not have a calculator available for Problem 4, what
value would you use for π?
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
12.6: Explain your solution strategy for Problem 4.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
Name:
Date:
4. Elise has 96 coins in her collection.
One out of four is from a foreign
country. How many coins are from
a foreign country?
________________
12.7: Explain how your answer to Problem 4 could be expressed
as a fraction and a percent.
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________
____________________________________________________