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Patterns Introduction
1) Examples of expressions and equations.
These are equations:
2+5=7
3a – 4 = 17
x + 5 = 12 – x
15 = 15.
These are expressions:
7x – 5
y2
5x – 8y
Using the information above, categorize the examples below and to explain your reasoning.
n3
b + 7 = 42
7<x
35 – 23 = a
21 ÷ y
3x2 + 2y – 1
2=7–5
2) Work with a partner to write a definition of equations and expressions. Show at least one
similarity and one difference between these two terms. Support their definitions with
examples.
3) Looking for Patterns: Find similarities and differences between the following sets of number
patterns
a. Extend each of the following patterns by at least five more numbers.
b. Write an explanation about how the following patterns are alike and how they are different.
2, 4, 6, 8, 10, …
b)
3, 5, 7, 9, 11, …
b)
2, 4, 6, 8, 10, …
b)
2, 4, 8, 16, 32, …
b)
4) Pattern Puzzle
Each row in this table of numbers uses the same pattern.
What is the missing number?
12
8
24
18
4
2
12
3
9
12
6
x