Algebra Readiness Made Easy Grade 6

PERPLEXING PATTERNS

• How did you figure out the 10th number in Row 2?

(1 x4 =4, 2 x4 =8, 3 x4 =12, and so on; the 10th number

is 10 x4, or 40.)

• What number in Row 1 is below the first number in

Row 2? (4 –1, or 3)Below the second number in Row 2?

(8 – 1, or 7)

• If you know the position of a number in Row 2, how do

you figure out the number below it in Row 1? (Multiply

the position number by 4 and subtract one from the product.)

Work together as a class to answer the questions in “Solve

the Problem: Perplexing Patterns.”

Math Chat With the Transparency

Display the “Make the Case: Perplexing Patterns” trans-

parency on the overhead. Before students can decide

which character’s “circuits are connected,” 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:

• Which character has the right answer? (Boodles)


• How did you figure it out? (The 12th number in Row 3 is

12 x5, or 60. The number in Row 1 below 60 is 60 – 2, or

58 .)

• How do you think CeCe Circuits got her answer of 60?

(She gave the 12th number in Row 3. She probably forgot to

subtract 2 to get the number in Row 1 that is below 60.)

• How do you think Mighty Mouth got the answer of 59? (He may have subtracted 1

instead of 2 to get the number two rows below 60.)

21

PERPLEXING PATTERNS

Name _____________________________________________ Date __________________

22

I see a pattern in the numbers

in Row 2. That pattern,

4, 8, 12,.. ., will help me

figure out the answer.

1.What pattern did Ima see in Row 2? __________________________

______________________________________________________

2 .What is the 20th number in Row 2? _______

3.What number in Row 1 is below the 20th number in Row 2? _______

4 .What number in Row 1 is below the 30th number in Row 2? _______

5.What number in Row 1 is below the 50th number in Row 2? _______

SOLVETHE

PROBLEM What number in Row 1 is

below the 20th number in Row 2?

ROW 2 4 8 12 ê

ROW 1 12356791011 ê

The array of numbers continues.

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PERPLEXING PATTERNS
Name _____ Date __
Whose circuits are connected?
MTHEAKE
CASE What number in Row 1 is
below the 12th number in Row 3?
ROW 3 5 10 15 ê
ROW 2 2 4 7 9 12 14 17 ê
ROW 1 1 3 6 8 11 13 16 ê
The array of numbers continues.
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CeCe Circuits
Surely you
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number is 58!
Those answers
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compute.
It is 60.
I know.
The answer
is 59.
Algebra Readiness Made Easy: Grade 6 © Greenes, Findell & Cavanagh, Scholastic Teaching Resources