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

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

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

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

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

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

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

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

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

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

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