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Algebra Understand patterns, relations, and functions.

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Presentation on theme: "Algebra Understand patterns, relations, and functions."— Presentation transcript:

1 Algebra Understand patterns, relations, and functions

2 Patterns, Relations, and Functions For the following set of numbers, write a 2 step rule (in words) describing the pattern. 3, 5, 7, 9… A.4.4.3

3 Patterns, Relations, and Functions Jamal wants to save $75.00 for a new bike. He thinks he can save $5.00 each week. Make a table to show how many weeks it will take him to save the money for the bike. A.4.5.1

4 Patterns, Relations, and Functions Find the missing term in the function table provided by your teacher. A.4.6.1

5 Patterns, Relations, and Functions The rule “multiply by 2 and add 1” can be written as y = 2x + 1. Use the rule provided by your teacher to create and complete a function table. A.4.7.1

6 Patterns, Relations, and Functions For the following questions, use the algebraic equation provided by your teacher. 1. Find the value of y if x = 12. 2. Identify the independent and dependent variables. 3. State the y-intercept and slope of the equation. A.4.8.1

7 Algebraic Representations 1.How many halves are in the number 3? 2.Use your answer to step 1 and the factor 3 to write a mathematical sentence. 3.How many halves are in the number 4? 4.Use your answer to step3 and the factor 4 to write a mathematical sentence. 5.In your own words, write a relationship between multiplication and division. NO.2.4.2, A.5.4.1

8 Algebraic Representations A variable is a letter representing an unknown quantity. If you are using x as your variable, three more than x can be written as x + 3. Choose a variable for your unknown. Write an expression to represent three less than your variable. A.5.5.2

9 Algebraic Representations Using the expression and equation provided by your teacher, answer the following. 1. Which is an expression? Why? 2. Evaluate the expression above when x=2. A.5.6.2, A.5.6.3

10 Algebraic Representations 1.Write an algebraic expression for “twice the sum of a number and 7.” 2.Write an equation for the sentence: Six less than a number is 15. 3.Solve the above equation. A.5.7.3

11 Algebraic Representations 1. Write an algebraic expression for the phrase “ three times a number decreased by eight.” 2. Simplify the expression 2x + 3x. 3. Evaluate the expression in step 2 when x = -5. A.5.8.3, A.5.8.4

12 Algebraic Models 1.Susie bought 48 pencils. If the pencils came in packages of 12, how many packages did she buy? 2.Jimmy bought 7 package of pencils with 5 pencils in each package. How many pencils did he buy? NO.3.4.2, A.5.4.3

13 Algebraic Models Tim’s teacher told him to bring 20 pencils at the beginning of the year. If pencils come in packages of 5, how many packages must he bring? Make a chart or table to represent this information? A.6.5.1

14 Algebraic Models 1.Using the manipulatives provided by your teacher, model an equation. 2.Using your model, write a one-step equation. 3.Solve your equation from step 2. A.5.6.1

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