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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

Algebraic Expressions

Everyday Math Lesson 10.3

lesson objectives
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
Mental Math

4 + 7 30 + 70 50 + 60

84 + 7 30 + 78 150 + 260

84 + 47 30 + 778 152 + 263

math message 3 minutes
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.

math message follow up 5 minutes
Math Message Follow-Up(5 minutes)
  • How tall is Joe?
    • What does his height depend upon?
    • How tall is Maria?
introducing algebraic expressions
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

slide7

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.
practice propose algebraic expressions to fit the situations
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.
algebraic equations
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)

writing algebraic expressions
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.
independent work
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