Aug 25 - Aug 29


Understanding that equivalent equations are equations that have the same solution(s).  One can find the solution of a one-step equation using the properties of equality and inverse operations to write a simpler equivalent equation. 


Pass out Kuta Handout on solving one-step, linear equations. (# 1-14).

  1. Introduce Properties of Various Operations

    Addition, Subtraction, Multiplication, and Division

  2. Guided Practice: Evaluate some simple one-step equations (page 85, Lesson Check).

  3. Independent Practice: Students will examine and solve #’s 10-21 (using addition or subtraction) & #’s 26-37 (using multiplication and division)

Lesson Vocabulary:

  • Equivalent equations

  • Addition Property of Equality

  • Subtraction Property of Equality

  • < >

    Inverse operations

  • Multiplication Property of Equality

  • Division Property of Equality


To solve two-step equations, one can use the properties of equality and inverse operations to form a series of simpler equivalent equations.  Identify the operations and undo them using inverse operations. 


Hand in Kuta worksheet previously assigned on Monday night for HW.  Answer any particular questions students might have had from the worksheet.


  1. Introducing Lesson

                       Problem 1-14, page 89-90.

                      Teach students to solve two-step equations by using an equation as a model                    (Problem 2), solving with two terms in the numerator, and via deductive reasoning. 


  1. Guided Practice: Page 91, #’s 11, 23, 26, and 34.

Independent Practice: Students work from textbook to solve #’s 12-22 (even), 24, 26-32 (even), and 34, 36. 




  • Review the concepts previously introduced in solving one and two step, linear equations.Ensure that students understand the fundamentals of both Sections 2.1 and 2.2.Clarify any concepts that need clarification and work more examples to illustrate the idea.


  • Have students look at additional examples of two-step equations on page 92.Work together to solve #’s 38-46, 51, and 52 (Error Analysis).




  1. Direct Instruction: Introduce Solving Multi-Step Equations,

                Problems 1-5 (pages 95-97).

  2. Guided Practice:Page 97, Lesson Check.Randomly select several students to go to the board and solve problems 1-4 and 6-9.

  3. Independent Practice: Assign #’s 10-14, 19, 21-25, 30-35, 39-43, 45-50, and 56.


Solve multi-step equations, one would form a series of simpler equivalent equations.  To do this, use the properties of equality, inverse operations, and properties of real numbers.  You can use the properties until you isolate the variable. 


  1. Direct Instruction: Introduce solving multi-step equations.Discuss the meaning of combining “like terms.”Review Distributive Property and solving an equation using distributive property.Look at expressions that contain fractions.

  2. Guided Practice: Page 97 (Lesson Check, #1-4, and 6-8, page 99 #56 and 57.)

Independent Practice: Page 98, assign students problems to solve: (#’s 10-18, even, 19, 22-28, even, 30-38,even, and 40-44, even).  For additional practice, students can also look at the odd problem sets. 



  1. Guided Practice: Review one, two, multi-step equations. Work a few examples of each type: page 115 (1-10).

  2. Assessment: Give exam on one, two, multi-step equations.

Direct Instruction: Introduce solving equations with variables on both sides (page 102, Section 2-4).