2. Patterns and Expressions
Ch 1-1
Students will be able to identify and describe patterns.
Patterns and Expressions
Algebra 2 Foundations, pg 4

3. Ch 1-1
Students will be able to identify and describe patterns.
“In the Solve It!, you identified and used a geometric pattern. In this lesson, you will identify patterns in ___________, __________, and _________ and describe them using numbers and ____________.
pictures tables graphs
variables
Focus Question
How can you describe a mathematical pattern?
Algebra 2 Foundations, pg 4

4. Ch 1-1 Problem 1 one 6 7 heptagon Identifying a Pattern
Students will be able to identify and describe patterns.
Identifying a Pattern
Look at the figures from left to right. What is the pattern?
What would the next figure in the pattern look like?
Problem 1
The pattern shows regular polygons with the number of sides increasing by _______.
one
The fourth figure above has _____ sides, so the next figure would have _____ sides. This a ___________: 6 7
heptagon
Algebra 2 Foundations, pg 4

5. Ch 1-1 Got it? Look at the figures from left to right.
Students will be able to identify and describe patterns.
Look at the figures from left to right.
What is the pattern? Draw the next figure in the pattern.
Got it?
A mathematical _________ is anything that can be measured or counted. The _______ of the quantity is its measure or the number of items that are counted. Quantities whose values do not change are called ____________. Quantities whose values change, or vary, are called _______________________
quantity
value
constants
variable quantities
Algebra 2 Foundations, pgs 4-5

6. Ch 1-1 Students will be able to identify and describe patterns.
Algebra 2 Foundations, pgs 5

7. Ch 1-1 Problem 2 Expressing a Pattern With Algebra
Students will be able to identify and describe patterns.
Expressing a Pattern With Algebra
How many toothpicks are in the 20th figure?
Problem 2 A
Use a table. Look for a pattern that relates the figure number to the number of toothpicks.
Pattern: Multiply the figure number by 4 to get the number of toothpicks. So, 4(20) = _____ toothpicks in the 20th figure. 80
Algebra 2 Foundations, pg 5

8. Ch 1-1 Problem 2 Expressing a Pattern With Algebra
Students will be able to identify and describe patterns.
Expressing a Pattern With Algebra
What is an algebraic expression for the number of toothpicks
in the nth figure?
Problem 2 B
Use the pattern from part (A).
There are _______ toothpicks in the nth figure. 4n
Algebra 2 Foundations, pg 5

9. Ch 1-1 Got it? How many tiles are in the 25th figure in this pattern?
Students will be able to identify and describe patterns.
How many tiles are in the 25th figure in this pattern?
Show a table of values with a process column.
Got it?
Input
Process
Output 1 4 2 6 3 8 … n
Algebra 2 Foundations, pgs 4-5

10. Ch 1-1 Problem 3 Using a Graph Input (x) Process Output (y) 2 5 7 10
Students will be able to identify and describe patterns.
Using a Graph
Problem 3
Input (x)
Process
Output (y) 2 5 7 10 12 …
____ 17 19
Algebra 2 Foundations, pg 6

11. Ch 1-1
Students will be able to identify and describe patterns.
You buy a bag of fish food and some goldfish. The graph shows the total cost depending on how many goldfish you buy.
What is your total cost if you buy
the food plus 9 goldfish?
Use a table to find the answer.
Got it?
Input
Process
Output
Algebra 2 Foundations, pgs 6

12. Patterns and Expressions
Ch 1-1
Students will be able to identify and describe patterns.
Patterns and Expressions
“In the Solve It!, you identified and used a geometric pattern. In this lesson, you will identify patterns in ___________, __________, and _________ and describe them using numbers and ____________.
pictures tables graphs
variables
Focus Question
How can you describe a mathematical pattern?
Answer: Use words, tables, graphs, or algebraic expressions to describe a mathematical pattern.
Algebra 2 Foundations, pg 4