entry task. chapter homework log sheet remember start on tuesday mark monday as labor day or no...
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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