Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 1-5
6. Add.
0 + 7 = _____
6. Explain the meaning of the equals
sign (=) in the sentence 0 + 7 = _____,
in Problem 6.
5 + 1 = _____
3 + 3 = _____
_____ = 4 + 7
_____ = 9 + 6
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 1-6
2. Fill in the missing numbers.
2. Explain your strategies for finding the
missing numbers on the grid in Problem
2.
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 1-10
2. Ages of 9 teachers: 30, 24, 49, 50,
38, 44, 40, 35, 51
2. Explain how you found the median in
Problem 2.
median = ________
maximum = ________
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 1-11
5. What is today’s date?
______________________________
What will the date be in 11 days?
______________________________
What will the date be in 2 weeks?
______________________________
5. Explain how you figured out what the
date will be in two weeks for Problem 5.
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 2-3
4. You spent $7.88 at the store. You
gave the cashier a $10 bill. How much
change should you receive?
4. Explain your strategy for Problem 4.
______________
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 2-4
4. Fill in the empty frames.
4. Explain how you found the numbers
for the first two and the last two frames
in Problem 4.
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 2-7
6. How long is the fence around the
flowers?
6. Explain how you found the length of
the fence in Problem 6.
____________ feet
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 2-8
3. What time does the clock show?
_________________
What time will it be in 30 minutes?
_________________
3. Explain how you figured out what
time it would be in 30 minutes in
Problem 3.
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 3-1
5. Solve using the counting-up method.
5. Explain how you solved Problem 5.
Show your work.
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 3-4
3. Write <, >, or =.
3. Explain how you know which
numbers are greater in Problem 3.
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 3-6
1. Which tool would you use to
measure the following?
1. Would you use a ruler or a yardstick
to measure the height of the classroom
door?
temperature ____________________
height of ceiling _________________
length of your thumb _____________
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 3-7
2. Draw a shape with an area of 9
square centimeters.
2. Explain what area means in Problem
2.
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 4-1
4. Find the perimeter.
4. Draw a different polygon with the
same perimeter as in Problem 4.
Explain how you know that the two
polygons have equal perimeters.
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 4-2
3. Solve. Make a ballpark estimate to
check that the answer makes sense.
________ = 648 + 209
estimate:
______________________________
3. Why are estimates helpful in
Problem 3.
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 4-6
1. When a number is multiplied by 1,
1. Write <, >, or =.
the number does not change. What can
you say about dividing a number by 1?
3 x 2 ____ 2 x 3
4 x 1 ____ 8 x 0
5 x 3 ____ 5 x 4
9 x 0 ____ 0 x 7
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 4-7
2. Maximum height of seedlings:
____________
Minimum height
of seedlings:
____________
Range of
seedling heights:
____________
2. For Problem 2, explain how you
found the range.
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 4-8
1. Make equal groups.
30 days make ______ weeks
with ______ days left over.
1. For Problem 1, show how you found
one of your answers. Explain your
thinking.
56 pennies make _________ quarters
with _______ pennies left over.
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 4-9
6. Fill in the empty frames.
6. Explain how you figured out the
number you wrote in the first empty
frame of Problem 6.
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 5-3
3. Number of children in the third grade
classrooms:
3. Use the data set to find the
maximum, minimum, and range in
Problem 3. Show your work.
31, 23, 21, 18, 28, 26, 22, 19, 30
What is the median?
_______________ children
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 5-4
1. Use multiplication or division to
complete these problems on your
calculator.
1. Explain how you know which
operation to use in Problem 1.
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 5-5
4. Solve using any method you wish.
4. Solve Problem 4 using another
method. Show your work and explain
what you did.
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 5-6
2. Write the following amounts in
dollars-and-cents notation.
5 dollar bills and 3 dimes ___________
4 dollar bills and 6 dimes ___________
1 dollar bill and 1 penny ____________
2. Can the money amounts in Problem
2 be written without zeros? Explain
your thinking.
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 5-9
4. Divide this shape into 2 rectangles.
4. Explain why the area in Problem 4 is
measured in square units.
Total area = __________ square meters
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 5-12
3. Which is more?
1.36 or 1.6 ___________
0.4 or 0.372 __________
0.69 or 0.6 ___________
0.7 or 0.09 ___________
3. For Problem 3, explain how you
know which number in each pair is
more.
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 6-1
2. If the grid is ONE, then what part of
2. If the grid in Problem 2 is ONE, how
the grid is shaded? Write a fraction and much more of the grid must be shaded
a decimal.
to fill in the whole grid? Write a decimal
and fraction. Explain how you figured it
out.
__________ = __________
(fraction)
(decimal)
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 6-2
1. The grid is ONE.
Write the larger number.
___________________
1. Explain how using money to solve
Problem 1 might help someone
understand which decimal is larger.
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 6-7
5. Circle the regular polygons.
5. Look at the polygons in Problem 5.
Draw a different regular polygon and
explain why it is regular.
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 6-8
2. If each grid is ONE, what part of
each grid is shaded? Write the decimal.
___________
__________
Circle the smaller number.
2. Explain how the shaded grids in
Problem 2 help you decide which
decimal is smaller.
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 6-9
3. Draw a quadrangle with exactly one 3. Explain why the quadrangle you
right angle. Label the vertices A, B, C, drew in Problem 3 is not a square, a
D. Which letter names the right angle? rhombus, or a rectangle.
Angle _________
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 6-10
4. Write the numerals.
4. Explain the difference between fortyhundredths and four-tenths in
Problem 4.
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 6-11
1. 4 people share 18 crayons.
Each person gets _____ crayons.
There are ______ crayons left.
1. Explain how you figured out Problem
1. Draw a picture of what you did.
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 7-3
3. Draw a ray AB that is parallel to the 3. Look at Problem 3: Explain how rays
and lines are alike and how they are
line CD and intersects the line segment
different.
EF .
E
F
C
D
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 7-4
4. Answer this riddle.
I have four sides. My opposite sides are
equal in length. I have two sides of
parallel sides. I do not have any right
angles.
What shape am I?
_______________________________
4. Write your own polygon riddle similar
to the one in problem 4.
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 7-6
1. Solve.
6 x 6 = _______
1. Describe a pattern you see and write
three more facts that follow the same
pattern shown in Problem 1.
7 x 7 = _______
8 x 8 = _______
81 = ______ x ______
100 = ______ x ______
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 7-7
1. Complete the number models.
(49 – 19) – 8 = ______
(56 – 14) x 2 = ______
48 – (19 – 8) = ______
56 – (14 – 2) = ______
1. Write each number sentence in
Problem 1. Find a different answer for
each by moving the parentheses.
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 8-2
1. For Problem 1, write a subtraction
3
1. Shade 7 of the books.
number model to show the fraction of
the books that are not shaded.
Explain your answer.
  
  

Write a subtraction number model to
show the fraction of the books that
are shaded. Explain your answer.
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 8-3
2. Solve.
5 x 9 = ______
5 x 90 = ______
5 x 900 = ______
______ = 3 x 8
______ = 30 x 80
______ = 300 x 80
2. In Problem 2, how does knowing that
5 x 9 = 45 help you know that
5 x 900 = 4,500?
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 8-4
5. True or false? There is an equal
chance of taking a B or an R block out
of the bag.
5. Explain your answer to Problem 5.
________________
R
R
B
B
B
R
R
B
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 8-7
5. Share $3.75 equally among 3 people.
Each person gets $_________.
Share $10.00 equally among 4 people.
Each person gets $_________.
5. In Problem 5, what does share
equally mean?
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 8-8
4
4. Tara frosted 5 of the cupcakes.
What fraction of the cupcakes is not
frosted?
__________
1
Did she frost more or less than 2 of the
cupcakes? _______________
If there were 20 cupcakes in all, how
many did she frost? _______________
1
4. In Problem 4, is 5 more or less
1
than 2 ? Use >, <, or = to compare the
two fractions. How do you know?
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 9-1
4. Pencils cost $1.99 for a package of
24. Estimate. About how much do 4
packages cost?
4. Explain how you solved Problem 4.
_________________________
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 9-2
5. Fill in the missing numbers.
Use fractions.
0
2
3
5. Explain how you figured out which
numbers to write on the number line in
Problem 5.
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 9-6
5. You and a friend are playing a game 5. Explain how you decided if the game
with a 6-sided die. You win if an odd
in Problem 5 was fair.
number is rolled. Your friend wins if an
even number is rolled. Do you think this
game is fair? Circle one.
Yes
No
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 9-7
5. What part of this pizza has been
eaten?
_________________
What part is left?
________________
5. Explain how you could equally share
the leftover pizza from Problem 5
among 4 people.
Name:__________________ Writing Reasoning Activities – Gr 3 Lesson 9-9
1. Name the eight factors of 24.
1. Explain how you found all the factors
for 24 in Problem 1.
______, ______, ______, ______
______, ______, ______, ______
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 9-12
4. Darius took two $5 bills and four $1
bills to the store. He bought shoelaces
for $1.27 and 2 packs of batteries for
$3.59 each. What is the smallest
amount of money he can give to the
cashier?
______________________________
______________________________
4. Explain how you decided which bills
Darius could give the cashier in
Problem 4.
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 10-3
3. This is a picture of a 3-dimensional
shape. Name the shape.
3. Write 3 more questions about the
shape in Problem 3. Then write the
answers to your questions.
_______________________________
How many vertices does it have?
___________
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 10-4
3. Complete the fraction number story.
Samantha ate 8 of the pizza.
Luke ate 8 of the pizza.
Connor ate 8 of the pizza.
8 of the pizza was left over.
3. Draw a picture of the pizza in
Problem 3. Label the amount of pizza
that each child ate. Show the amount
left over. How much pizza did the three
children eat all together?
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 10-5
2
4. Cross out fractions less than 3 .
Place a circle around the fractions
2
equivalent to 3 .
1
2
3
4. Use pictures or words or both to
explain how you figured out which
2
fractions were less than 3 in Problem
4.
1
3
4
6
2
5
6
9
5
6
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 10-6
4. Complete.
4. Choose one of the units of capacity
in Problem 4. Describe the unit of
1 gallon = ______ quarts
capacity by using one of the personal
references for units of capacity from
_____ gallons = 12 quarts
Lesson 10-5. For example, describe an
object that has about the same measure
1 pint = _____ cups
as a liter.
____ pints = 14 cups
1 liter = ____ milliliters
____ liters = 5,000 milliliters
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 10-7
3. Name 4 objects that weigh less than 3. Choose one of the objects you listed
1 kilogram.
in problem 3. Describe how you can
use a benchmark weight or personal
reference to help you estimate the
weight of the object in ounces.
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 10-8
1. Measure each side of the quadrangle 1. Find the perimeter of the shape in
to the nearest half-centimeter.
Problem 1. Show your work and explain
what you did.
_____cm
_____cm
_____cm
_____cm
Another name for this quadrangle is a
______________________________.
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 10-9
1. Weight in pounds of newborn babies:
1. Explain how you found the mean
11, 8, 8, 7, 6.
weight of newborn babies in Problem 1.
The mean (average) weight is
____________ pounds.
The median weight is _____ pounds.
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 11-1
6. A large bag of candy costs $3.59.
What is the cost of 6 bags?
6. Explain the estimation strategy you
used in Problem 6. Then find the exact
answer to the problem. Show your
work.
Fill in the oval next to the closest
estimate.
about $15.00
about $18.00
about $21.00
about $27.00
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 11-4
6. Miles Run for Marathon Training
6. Describe the steps you followed to
find the median for Problem 6.
12
10
8
6
4
2
0
Su
M
Tu
W
Th
F
Sa
Days
What is the median number of miles run
this week? ___________
Name:_________________ Writing Reasoning Activities – Gr 3 Lesson 11-5
6. Danielle skates from 6:45 to 7:30
every morning and from 3:05 to 3:55 in
the afternoon on Mondays and
Wednesdays. How long does she skate
in a week?
______ hours _______ minutes
6. Explain how you figured out how
long Danielle skates in a week in
Problem 6.