warm-ups! every lamb has 4 legs. every chicken has 2 legs. 1. how many legs do 5 lambs and 20...
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Warm-ups!Every lamb has 4 legs. Every chicken has 2
legs.• 1. How many legs do 5 lambs and 20
chickens have?
• 2. How many legs do 100 lambs and 27 chickens have?
• 3. How many legs do L lambs and C chickens have?
60 legs
454 legs
4l + 2c
Describing Patterns
Section 1.2
Objectives for the day:• Use variables to describe patterns in
instances or tables• Identify and apply the associative,
commutative, and transitive properties
• Create expression to model real-world situations.
Definitions• Term:
• Factor:
• Instance:
• Pattern:A group of terms which a connection or relationship can be found
One term of a pattern
A number, variable, or combination of the two
A number of expression that is multiplied.*If a ∙ b = c, then a and b are factors of c.
Ex. 5x2 + 7x + 8y + 6 has 4 terms
Evaluate each expression #1 - 3
2(3 + 8) ÷ 3
2(4 + 8) ÷ 3
2(5 + 8) ÷ 3
Write another instance of the pattern (#4):2 ( 9 + 8) ÷ 3
22/3
8
26/3
Give two instances of each pattern
# 5: # 6:4 x3 = 4 x x x ∙ ∙ ∙4 (2)3 = 4 2 2 2∙ ∙ ∙4(-3)3 = 4 -3 -3 -3∙ ∙ ∙
Use the commutative property of multiplication to find another expression that gives the same value as 6a b ∙
b 6a∙
7 (4 + 3) = 7 ∙ 4 + 21
7 (11 + 3) = 7 ∙ 11 + 21
7 (x + 3) = 7 ∙ x + 21
Three instances of a pattern are given. Describe the pattern using one variable.3 1 – 7 = 3 (1 – 4) + 5∙3 11 – 7 = 3 (11 – 4) + 5∙3 ¼ – 7 = 3 (¼ – 4) + 5∙
3 ∙ x – 7 = 3 (x – 4) + 5
Example 2Jana designs and sells t-shirts online. She
works through a company that pays her a base of $50 every month for her designs, plus a 20% profit for every t-shirt that is sold. Each shirt costs $20.
#9: write an expression that calculates Jana’s monthly earnings if she sells s t-shirts.
#10: How much does Jana make in a month when she sells 30 t-shirts?
50 + .2(20s) dollars
50 + .2(20 ∙ 30) dollars $170.00
Break up into groups of 4:
Homework
Finish worksheet 1.2APages 16 – 17
1 – 22 (ex. Cred: 23)
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