By

1
Linear Equations

• By
• Derek Gresko

2
Introduction

• Setting up and solving linear equations
• Setting up and solving word problems

3
Analyze Learners

• Eighth-graders
• Ages of the students will be approximately 13 to
  14
• Students will need the skills learned from their
  previous math classes

4
State Objectives

• MA.8.2.1- use order-of-operations and exponents
  rules to solve problems with numerical and
  algebraic expressions containing whole numbers,
  integers, absolute value, fractions, and
  exponents
• MA.8.2.2- solve one and two step linear equations
  and inequalities with integers, fractions, and
  decimal solutions

5
State Objectives Continued

• MA.8.2.3- use ratio and proportion to create and
  solve equations
• MA.8.2.5- apply algebraic equations and
  expressions to solve application problems
• MA.8.2.10- represent and solve real world
  problems appropriate for 8th grade using multiple
  strategies

6
Materials and Media

•  A Simple Word Problem-http//www.cut-the-knot.org
  /arithmetic/WProblem.shtml-This website
  describes how word problems are translated to
  equations.
• BBC Education-http//www.bbc.co.uk/education/maths
  file/index.shtml-This website provides
  interactive games for students to help them with
  math.
• Purplemath- Your Algebra Resource-http//www.purpl
  emath.com/index.htm-Purplemath provides various
  resources on its site and is a math site devoted
  entirely to algebra

7
Utilize Media and Materials

• Day One
• process of solving the equation
• same operation to both sides
• worksheet of simple one or two-step equations
• Day Two
• order of operations
• group activity

8
Utilize Media and Materials, Continued

• Day Three
• equations that involve fractions, exponents, and
  ratios
• visit the BBC Education website
  http//www.bbc.co.uk/education/mathsfile/index.sht
  ml and play Late Delivery
• worksheet for homework
• Day Four
• visit the BBC Education website
  http//www.bbc.co.uk/education/mathsfile/index.sht
  ml and play Equation Match
• begin to discuss the concept of word problems

9
Utilize Media and Materials, Continued

• Day Five
• continue to discuss setting up equations based on
  words
• use the website A Simple Word Problem-http//www.
  cut-the-knot.org/arithmetic/WProblem.shtml
• worksheet for homework
• Day Six
• discuss the two word problems they will present
  to the class
• real-world application problems
• specific example of Apollo 13 mission
• worksheet of word problems for homework

10
Utilize Media and Materials, Continued

• Day Seven
• Get in groups and work on the Mangoes Problem
• guess and check and draw a picture strategies
• remind the students of their project
• Day Eight
• Continue with the Mangoes Problem
• working backward and using a variable strategies
• again remind them of their assignment

11
Utilize Media and Materials, Continued

• Day Nine/Ten
• students will present their two problems to the
  class
• students in the class will try to solve the
  problems

12
Learner Participation

• class rules established the very first day of
  school are always in effect
• consequences for breaking these rules that were
  outlined in the syllabus are always in effect
• students will be involved in group work
• computer activities

13
Student Evaluation

• classroom participation
• homework will be collected and graded
• class assignment discussed in day four will be
  graded
• project will be graded in both the presentation
  and the actual problems with the resources listed

14
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