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Algebraic Expressions

Algebraic Expressions. Everyday Math Lesson 10.3. Lesson Objectives. I can identify and use patterns in tables to solve problems I can write algebraic expressions to model rules I can use variables to write number models that describe situations. Mental Math. 4 + 7 30 + 70 50 + 60

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Algebraic Expressions

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  1. Algebraic Expressions Everyday Math Lesson 10.3

  2. Lesson Objectives • I can identify and use patterns in tables to solve problems • I can write algebraic expressions to model rules • I can use variables to write number models that describe situations

  3. Mental Math 4 + 7 30 + 70 50 + 60 84 + 7 30 + 78 150 + 260 84 + 47 30 + 778 152 + 263

  4. MathMessage( 3 minutes) Joe and Maria are 5th graders. Joe is 2 inches taller than Maria. Make a table of 4 possible heights for Joe and Maria.

  5. Math Message Follow-Up(5 minutes) • How tall is Joe? • What does his height depend upon? • How tall is Maria?

  6. Introducing Algebraic Expressions * The table of Maria and Joe’s height is similar to a “What’s My Rule?” table. • What was the rule for Maria and Joe’s table? • Let’s represent Joe’s height using an algebraic expression. (“M” represents Maria’s height) M + 2 M M + 2

  7. Turn to pg. 218 in your SRB. • Study the examples of expressions that algebraic and those that are not. • What’s the difference???? • Expressions use operation symbols (+, -, *, /) to combine numbers, but algebraic expressions combine variables and numbers. • KEY POINTS: • A situation can be represented in several ways (words, table, or symbols) • Algebraic expressions use variables and other symbols to represent situations • To evaluate an A.E means to substitute values for variables and solve.

  8. Practice!Propose algebraic expressions to fit the situations • Sue weighs 10 pounds less than Jamal. If J= Jamal’s weight, then J-10 represents Sue’s weight. • Isaac collected twice as many cans as Alex. If A= the number of cans Alex collected, then 2 * A, (or 2A) represents the number of cans Isaac collected. • There are half as many problems in today’s assignment as there were in yesterday’s. If Y= the number of problems in yesterday’s assignment, then there are ½ Y, ½ * Y, or Y/2 problems in today’s assignment.

  9. Algebraic Equations • Expressions can be combined with relation symbols (=, <, >) to make number sentences. • X + 2 = 15 • 3y + 7 < 100 * These are called “Algebraic Equations” (number sentences that contain algebraic expressions)

  10. Writing Algebraic Expressions • Turn to pg. 341 & 342 in your journal. • Let’s go over problem 1 • Complete the statements on both pages with a partner. • When you are finished, complete the “What’s My Rule” on pg. 343.

  11. Independent Work • On your own at a level 0, complete Math boxes on page 344. • When you are finished, you may work on Study Link 10.3

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