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21st Century Lessons Equivalent Expressions 1 Warm Up OBJECTIVE: Students will be able to identify when two expressions are equivalent. Language Objective: Students will be able to explain in writing why two expressions are equivalent. Evaluate the following expressions. when x = 2 1. 9x 6 2. 5(x 3) when x = 4 3. 2x 5y when x = 6, y = 4 Scaffold 2 24 35 32 Agenda Agenda: OBJECTIVE: Students will be able to identify when two expressions are equivalent. Language Objective: Students will be able to explain in writing why two expressions are equivalent. 1) Warm Up Individual 4 minutes 2) Launch A Disagreement- Whole Class 4 minutes 3) Explore Which Mathematical Statement is True?Partners 20 minutes 4) Summary Which Mathematical Statement is True?Whole Class Matching- Partners 13 minutes 5) Practice 6) Assessment Exit Slip- Individual, Whole Class 5 15 minutes 4 minutes Launch- A Disagreement Harry and Louis are arguing whether the following expressions are equal. ? 5 x 5x What do you think? Provide evidence to support your thinking. Agenda 6 Explore- Which Mathematical Statement is True? With your partner, decide which equations are true for all values of x and y. Part I. Give a written explanation to support your answer. Part II. a. Pick any number for the variable(s) b. Substitute the number into the equation to prove if it is true. c. Repeat this with a different number. Example 7 Agenda Summary- Which Mathematical Statement is True? Click an equation. 2 ? xx x Click to advance to the Practice Activity. ? x x x x 4x ? 2x 10 12x ? 3xy 3x y ? 5x 2y 7xy ? 3(2x) 6x Agenda 9 Practice- Matching Directions: Decide which expressions on the left hand side of the worksheet are equivalent to the expression on the right hand side. Be sure to provide evidence by substituting in ANY value for the variable, x, you choose. 5(4x) 4(x 5) (34)x 4(x 2) 4(x 1) 3 Agenda 16 Assessment- Exit Slip Decide which equation is equal. Provide a written explanation and proof by choosing a value for x. ? 1. 5x 6 11x 5(2) 6 11(2) 106 22 16 22 Not Equal x 2 ? 2. 3(x 2) 4 3x 10 3(22) 4 3(2) 10 17 3(4) 4 610 12 4 16 16 16 Equal Agenda