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Grade 8, Math
Std #5:
Solve problems involving linear functions.
  • Identifying functions from information in tables, sets of ordered pairs, equations, graphs and mappings
  • Determining the rule that defines a function
  • Classifying variables in a function as independent or dependent
  • Classifying relations as linear or nonlinear by examining tables, graphs, or simple equations

Lesson Plans:

Writing and Solving One-Step Linear Equations In One Variable: 
Help your students to understand what linear equations are, how to write different types, and how to solve them.

Exploring Pascal's Triangle - Discovery Lesson
Students will work in groups to explore Pascal's Triangle

Pascal's Triangle - Coloring Multiples
Exploring Pascal's Triangle

Pascal's Triangle
Antonio's Pizza Palace

Pascal's Triangle
Pascal Petals

Pascal's Triangle
Student Worksheets

Beginning Algebra Tutorial:
Addition Property of Equality.

CPS K12
This is a structured lesson plan that provides strategies for teaching, examples, worksheets, and assessments. (Day 9)

Finding Patterns in Fractals: 
This lesson is designed to introduce students to the idea of finding patterns in the generation of several different types of fractals.

An Introduction to Arithmetic and Geometric Sequences: 
This lesson is designed to introduce students to the idea of an arithmetic sequence.

Locker Problem Activity:
Students use number patterns to solve the locker problem.

Rectangle Pattern Challenges: 
Students compare two figures to determine what kind of pattern is developing.

Patterns in Pascal's Triangle: 
This lesson is designed to show students that patterns exist in the Pascal's Triangle, and to reinforce student's ability to identify patterns.

Introduction to Functions:
This lesson is designed to introduce students to the idea of functions and their representations as rules and data tables, including the mathematical notions of independent and dependent variables.

Magic Squares:
A magic square is an arrangement of numbers from 1 to n-squared in a nxn matrix, with each number occurring exactly once, and such that the sum of the entries of any row, any column or any main diagonal is the same. 

Purple Math
This is an online tutorial on how to solve linear equations.

PBS
Students explore linear patterns, write a pattern in symbolic form, and solve linear equations using algebra tiles, symbolic manipulation, and the graphing calculator.

Linear Equations: 
Introduces students to ways of solving and graphing linear equations.

Linear Algebraic Expressions:
In depth discussion of some of the basics of solving linear algebraic problems.

The Opportunity Cost of a Lifetime: 
Economics assumes people don't have all the resources to satisfy all of their wants so we must make decisions about how to allocate our resources.

What's Happening in the New Economy?
Students examine the impact of technology on the economy.

Human Capital for Money:
Students compare salaries and wages of various occupations.

Traffic Jam Activity:
A hands on problem solving activity in which students try to determine a strategy for staying in the game the longest.

River Crossing: 
Students have to solve the problem of getting to a point across the river at exactly the same point in spite of a river current.

Measuring Patterns:
To determine the pattern (length and direction) of shadows cast by a stationary object over several months.

The Fibonacci Series:
To investigate numerical patterns.

OFCN
This is a problem solving lesson with a single story where students must go through the problem solving steps and define an algebraic equation to solve.

Purple Math
This is an online tutorial on translating and solving word problems.

Algebra Help
This lesson introduces an important algebraic concept known as the equation.

Algebra Help
A proportion is a special form of an algebra equations.

Algebra Help
Basic Word Problems - A word problem in algebra is the equivalent of a story problem in math.

Assessing Basic Algebra Skills
Diagnosing Weaknesses

Introduction to Algebra
Exploring Variables and Expressions

Operations with Rational Numbers
Graphing Integers on the Number Line

Exploring expressions, equations, and functions
Stock Market Project

Ratios and Proportions
Solving Problems Using Proportions

Applying Rational Numbers and Ratios and Proportions
Presenting the Stock Market Project

Investigating Linear Functions
Exploring Slope

 

 

Resources:

Getting Unstuck: 
These tips can help you overcome mental barriers in problem solving.
      

Explore Learning
Linear Inequalities in Two Variables  

21st Century Problem Solving:
A website devoted to problem solving literacy.

Algebra Help
Online tutorial that guides students through the basics of setting up and solving word problems.                                                    

Algebra Help
Online tutorial that guides students through solving basic linear equations.

Math
Use this site to generate printable worksheets with answer sheets. FREE 

Addition, Subtraction, Multiplication, & Division Properties:
A list of properties with examples.

Think Quest
Algebra Postulates

Algebra Help
Basics of Algebra

Edhelper
Randomly generate worksheets on exponents.

Equation of a Line - Slope-Intercept Form:
Interactive example
   

Multiplication
This is an interactive online lesson that quizzes students on the commutative property, zero, and identity property of multiplication.

Simplifying Using Distribution:
Explanations and practice using the distributive property.

Solving Linear Equations: 
Illustrates the process of solving equations in various forms.

 

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