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Student Name:_______________ Math Teacher: ________________

HIP Manager: ________________

Module #8 of 15Patterns & Sequences

7th Grade Math

Students: Please return your completed module to your HIP teacher. Your HIP teacher will forward

your completed module to your science or math teacher to make sure you receive credit for the work

you have completed. Remember, your future is extremely important to us and we are here to help

you! Get your next module and keep going you will be SUCCESSFUL!!!

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Math Dragon PresentsPatterns & Sequences

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Sequence

A sequence is an ordered list of numbers. Each numberin a sequence is called a term. In an arithmeticsequence, each term is found by adding the same

number to the previous term.

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Sequences

What strategies could you use to match an expression with its

corresponding sequence of numbers?

You can evaluate the expression using the

numbers 1 through 5 and then look for the

sequence of numbers that matches these values.

What does n represent in the following expression?

2n + 2

n represents the position of the number in the sequence.

Lets find out how much math dragon knows about sequences..

What strategies could you use to match a sequence of

numbers with its corresponding expression?

I could find the rate of change between consecutive numbers in

the sequence and try to write my own rule.

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Time to Practice

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Patterns

When we first learn about sequences we learn aboutpatterns. Determine the next 3 terms in each pattern

below.

1) A, C, E, G, I, _____, _____, _____

2) 5, 7, 9, 11, 13, _____, _____, _____

3) -2, -5, -8, -11, -14, _____, _____, _____

4) Z, Y, X, W, V, _____, _____, _____

5) 21, 26, 51, 66, 81, _____, _____, _____

6) _____, _____, _____

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Sequence buildingsUse the pattern shown in the figures below

to answer the questions below.

Building 5

1) Draw a picture of what Building 5 would look like if you were to continue the sameproblem.

2) How many square tiles will it take to create Building 10? ___________________

1)2)30

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Sequence matchingDraw a line that connects each equation with its sequence

of numbers. The first one has been done for you.

1)5,7,9,11,132)2,5,8,11,143)5,6,7,8,94)9,13,17,21,255)-3,-1,1,3,5

1) y = 2x + 3 2, 5, 8, 11, 14,

2) y = 3x 1 9, 13, 17, 21, 25,

3) y = x + 4 3,1, 1, 3, 5,

4) y = 4x + 5 5, 6, 7, 8, 9,

5) y = 2x 5 5, 7, 9, 11, 13,

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Lets See How much youhave learned

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Patterns

Now create a pattern of your own that contains at least 5terms. Try to explain the relationship in the pattern. An

example has been done for you.

Example: 21, 36, 51, 66, 81, 96, 101, 116

The pattern is increasing. Each term is 15 more than the previous term.

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Sequence buildingsThe figures below were built using tiles.

How many tiles are needed to build figure 35 in this pattern?_____ Justify your answer.

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1) 4n 1, 2, 3, 4, 5,

2) n + 2 8, 12, 16, 20, 24,

3) 2n 3, 4, 5, 6, 7,

4) 4n + 4 2, 4, 6, 8, 10,

5) n 4, 8, 12, 16, 20,

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y = 5x

y = 4x

y = 3x

y = 7x

y = 2x

y = 6x

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TAKS problems practice

with sequences

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with sequences

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with sequences

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with sequences

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Congratulations!!!Job Well Done, and we will see you again soon

inMath dragons

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