Mathematics
Grade 4
Patterns in Tables of Number Pairs
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Dear Parent or Guardian:
Your child is currently learning to recognize the use of number
functions in real-life situations. Here is your chance to help your
child practice this important skill.
In this PAL Packet you will find a short activity for you and your
child to do. Please do the activity and The Back Page this evening.
Then sign your name on The Back Page and have your child return it
tomorrow.
Remember, parents are a child’s first teacher. Thank you for your
time and energy in making learning fun and exciting for your child.
Sincerely,
_________________________
Your child’s teacher
Grade 4 – Patterns in Tables of Number Pairs
© 2004 Evans Newton Incorporated
1
Last printed 8/31/04
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RECOGNIZING NUMBER FUNCTIONS IN
REAL-LIFE SITUATIONS
Parent Pointer —
You and your child may have participated in a fundraiser. Most likely
you sold a number of items and in return may have earned points
toward a prize. For you and your child to figure out if you could sell
enough items to earn the grand prize, you would have to find a number
function using addition, subtraction, multiplication, or division. Using
tables helps organize data so you can recognize functions more easily.
Tables of data can be found in the newspaper, magazines, and on the
television news. Number functions are a part of our everyday lives,
such as in counting and saving money.
Math In the Home, On the Go, and For the Fun of It —
DIRECTIONS: Review how to find a rule to complete a number
function on the Recognizing Real-Life Number Functions reference
sheet with your parent or guardian. Read and follow the directions to
complete the activities on the Earning Our Way! and Downloading Data
pages. Remember to find the rule first!
Talk About It —
After you have finished the activity, turn to The Back Page to show
what you know.
Now go have some fun with the activity! (
Grade 4 – Patterns in Tables of Number Pairs
© 2004 Evans Newton Incorporated
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Last printed 8/31/04
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Recognizing Real-Life Number Functions
Finding the Rule
Before you can recognize a number function (the
relationship between numbers), you need to find the rule
for the numbers in the function. The rule can be addition,
subtraction, multiplication, division, or a combination of
these operations. Review the table below to see how
knowing the rule shows you how to complete the function.
You are selling magazines to earn points to buy
prizes. You want to see how many points you will get
if you sell $120 worth of magazines.
Points
15
30
45
60
75
90
Amount sold
$20
$40
$60
$80
$90
$100
$120
For every $20 worth of magazines you sell, you earn 15 points.
The rule is +15;
90 + 15 = 105.
For selling $120 worth of magazines, you earn 105 points.
Grade 4 – Patterns in Tables of Number Pairs
© 2004 Evans Newton Incorporated
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Last printed 8/31/04
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Earning Our Way!
Directions: Use the information in each table to complete the
number function. In the box under each table, write the rule you
used to find the missing number or numbers in the pattern.
You are walking for one of your city’s charities. The table below shows
how much money you can earn for the number of miles you walk.
Money earned
$2.50
$7.50
$12.50
$17.50
$22.50
Miles walked
1
3
5
7
9
11
Your fourth-grade class is selling cookies to go on a field
trip to the zoo. The table below shows how much money
you can earn for the number of boxes of cookies you sell.
Amount sold
$4.00
$12.00
$20.00
$28.00
$36.00
Grade 4 – Patterns in Tables of Number Pairs
Boxes of cookies
2
6
10
14
18
© 2004 Evans Newton Incorporated
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Last printed 8/31/04
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Downloading Data
Directions: Create your own number function in the first table below.
Be sure to write the prices on the left and numbers on the right,
leaving a few boxes blank. Ask your parent or guardian to find the
missing numbers and write the rule in the box below the table. Then,
ask your parent or guardian to create a number function in the second
table. Now YOU need to decide what pattern is being used to fill in
the empty number boxes and write the rule.
STUDENT-CREATED TABLE
Amount sold
Containers of CDs
PARENT- or GUARDIAN-CREATED TABLE
Amount sold
Grade 4 – Patterns in Tables of Number Pairs
Number of printers
© 2004 Evans Newton Incorporated
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The Back Page
Talk About It
Parent —
Ask your child the following questions:
9Did you use addition, subtraction, multiplication, or
division to find the missing numbers in the functions?
9What function did you create when you completed
your own table?
Student —
Answer the above questions in complete sentences on the
reverse side of this page.
OR
Do one of the following activities on the reverse side of
this page:
9Create a function table that uses two arithmetic
operations. Write the rule and show your work. Use
the example below to help you.
2
4
6
8
3
7
11
15
Rule = × 2, −1
2
2
2
2
×
×
×
×
2−
4−
6−
8−
1
1
1
1
=
=
=
=
3
7
11
15
9Find tables that contain numbers on any boxes of food
you have. Write why you think the numbers and other
information are arranged in a table.
__________________________ __________________________
Student’s Name
Parent or Guardian’s Signature
Grade 4 – Patterns in Tables of Number Pairs
© 2004 Evans Newton Incorporated
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Last printed 8/31/04