Algebra Readiness Made Easy Grade 5

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GRID PATTERNS

• What number is just below 13? (18)And just

below 18? (23)

• In this array, how can you figure out the number

that is just below a given number? (Add 5 to the

given number.)

• How can you figure out the greatest number in

Judy’s square? (The greatest number is 2 numbers to

the right and 2 numbers below the least number. The

greatest number is 27 + 1 + 1 + 5 + 5 or 39.)

Work together as a class to answer the questions

in “Solve the Problem: Grid Patterns.”

Math Chat With the Transparency

Display the “Make the Case: Grid Patterns”

transparency on the overhead. Before students

can decide which character is “on the ball,” they

need to figure out the answer to the problem.

Encourage students to work in pairs to solve

the problem, then bring the class together for

another whole-class discussion. Ask:

• Who has the right answer? (Buddy)


• How did you figure it out? (In this array, each

number in a column is 4 less than the number below

it. The least number in the square is two numbers to

the left and two numbers above the greatest number.

The least number is 39– 1 – 1 – 4 – 4, or 29.)

• How do you think Sally got the answer 31?

(She probably counted back by ones to get to the least

number; 39 – 8 =31.)

• How do you think Bobby got the answer of 49?

(He probably thought about 39 as the least number

and figured out the greatest number. He started at 39

and added 1 + 1 + 4 + 4.)

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Name _____________________________________________ Date __________________

Ima Thinker

GRID PATTERNS

11

I’ll start by writing the

least number in the top left

corner of Judy’s square.

1.Complete

Judy’s square.

2.How did you figure out the numbers in Judy’s square?

______________________________________________________

3.What is the greatest number in her square? _______

4.Suppose that the least number in Judy’s square is represented by a.

How can you represent the greatest number in her square?

______________________________________________________

SOLVETHE

PROBLEM What is the greatest number in Judy’s square?

12345

678910

11 12 13 14 15

1 6 17 18 19 20

The array of numbers continues.

Judy drew a 3-by-3 square around 9 numbers

in the array.

The least number in Judy’s square is 27.

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Name _____________________________________________ Date __________________

(^1122) Who is on the ball?
MMAAKKEE
CCTTAAHHSSEEEE
Sally Soccer Bobby Baseball
Buddy Basketball
What is the least number in Kevin’s square?
That’s easy.
The number
is 31.
11 22 33 44
55 66 77 88
99 1100 1111 1122
1133 1144 1155 1166
1177 1188 1199 2200
The array of numbers continues.
Kevin drew a 3-by-3 square around 9 numbers
in the array.
The greatest number in Kevin’s square is 39.
No way.
It has to
be 49.
The right
answer is 29.
I am sure.
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Algebra Readiness Made Easy: Grade 5 © Greenes, Findell & Cavanagh, Scholastic Teaching Resources