Entry Task

Chapter Homework Log sheet

• Remember start on Tuesday

• Mark Monday as labor day or no school

• Each box must have something in it

• Fill in learning target

• Fill in homework

1.1 Patterns

and

Expressions

• Identify and use geometric patterns

• Identify patterns in pictures, tables, graphs

• Describe the patterns using numbers and variables

Learning Target: I can identify and describe patterns

Vocabulary pg 4

• Constant

• Variable Quantity

• Variable

• Numerical expression

• Algebraic expression

Variable

Side 1

Side 2

A symbol, usually a letter that represents on or more numbers

n x

With you’re a/b partner, identify where you see patterns in the

real world. Be ready to discuss with class.

• music

• investments

• sleep habits

• nature

From picturesor physical models we can sometimes find both numerical and geometrical patterns.

Understanding a pattern can help us:

• extend the pattern

• create new patterns

MODELSMathematicians …

• look for patterns

• find patterns in physical or pictorial models

• look for ways to create different models for patterns

• use mathematical models to solve problems

Problem 1 Identifying a patternLook at the figures from left to right. What is the

pattern? Draw the next figure in the pattern.

a.

b.

Answer: The next figure would have 7 sides

Answer: Length of arm increases by one block the center remains the same

22 + 22 + 2 + 22 + 2 + 2 + 2 4(2)

3(2)2(2)1(2)1

234

n? __(2)

Figure Number(input)

n

2468

Process Column

(Expression)

Number(output)

Problem 2a Number Patterns

Problem 2b Number Patterns

6(5) + 4

5(5) + 44(5) + 43(5) + 41

234

n? _____(5) + 4(n + 2)

How does the Input part relate to the output?

What’s the same?

What’s different?

19242934

Figure Number(input)

Number(output)

Process Column

(Expression)

3 - 2(3)3 - 2(2)3 - 2(1)3 - 2(0)1

234

n? 3 - 2(____)n - 1

How does the input part relate to the output?

What’s the same?

What’s different?

31-1-3

Figure Number(input)

Number(output)

Problem 2c Number PatternsProcess Column

(Expression)

82

62

42

221234

n? (___)22n

How does the input part relate to the output?

What’s the same?

What’s different?

4163664

Problem 2d Number PatternsFigure Number

(input)

Number(output)

Process Column

(Expression)

Problem 3 Using a graphThe graph shows the cost of platys at the aquarium

shop. Use the table to find the cost of 6 platys.

Discuss1.What is the input value? What is the output value?2.How many can you get for $20?

Assignment #1

P. 7 #10 – 38 evens

Challenge - #40