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Algebra 2.5

Algebra 2.5. Solving for a Variable. Learning Targets. Language Goal Students will be able to identify when a variable is needed when setting up an equation from a word problem. Math Goal Students will be able to solve an equation for a given variable. Essential Question

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Algebra 2.5

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  1. Algebra 2.5 Solving for a Variable

  2. Learning Targets Language Goal • Students will be able to identify when a variable is needed when setting up an equation from a word problem. Math Goal • Students will be able to solve an equation for a given variable. Essential Question • How do you solve for different variables with a given equation?

  3. Warm-up

  4. Homework Check

  5. Homework Check

  6. Go over Quiz

  7. Vocabulary • Formula • Literal Equation An equation that states a rule for a relationship among quantities A formula with two or more variables. To solve for one of the variables, use inverse operations.

  8. Introduction • Formula: d = r ∙ t • What is the isolated variable in this formula? ______ • You can “rearrange” a formula to isolate any variable by using inverse operations.

  9. Steps for solving for a variable • Step 1: Locate the variable you are asked to solve for in the equation. • Step 2: Identify the operations on this variable and the order in which they are applied. • Step 3: Use inverse operations to undo operations and isolate the variable.

  10. Example • Formula: d = r ∙ t • Isolated in terms of r.

  11. Examples: 1. Solve for m 2. Solve for k

  12. More Examples: 3. Solve for t. 4. Solve for V

  13. More Examples: 5. Solve for a 6. Solve for b

  14. Word Problems Solve the word problem The formula V = lwh relates the volume V, of a prism to its height, h, length, l, and width, w. If a prism’s volume is 60 cubic inches, its length is 3 inches and its width is 4 inches, what is its height? Solve for h.

  15. Word Problem • Solve the word problem The formula C =πd gives the circumference of a circle C in terms of its diameter d. The circumference of a bowl is 18 inches. What is the bowl’s diameter? Leave the symbol π in your answer.

  16. Stations

  17. Lesson Quiz

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