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Teaching and learning algebra lessons.
 
 



ALGEBRA
AND PRE-ALGEBRA

 

This category includes pre-algebra and algebra lesson plans, worksheets, and other teaching material and resources.

Math topics and categories include positive and negative numbers, solving equations, exponents, patterns and functions, ratios, rational numbers, polynomials, factoring, and more algebra and pre-algebra related material.

 

 

ALGEBRA LESSON CATEGORIES


POSITIVE AND NEGATIVE NUMBERS

 

Introduction to Positive and Negative Numbers

This lesson is designed to introduce students to positive and negative numbers. It also covers comparing and absolute value.

Positive and Negative Numbers:
Addition

This lesson teaches students how to add positive and negative numbers and how to compare quantities after they are added together.

Positive and Negative Numbers:
Subtraction

Students will learn that subtraction is about taking away -- whether this is regarding positive numbers, negative numbers or both. Students will also practice adding and subtracting when absolute value is involved.

Positive and Negative Numbers:
Multiplication

Students will learn how to multiply positive and negative numbers together.

Positive and Negative Numbers:
Division

Students will learn how to divide positive and negative numbers, and how to solve problems when more than one operation is present.

 

ONE STEP EQUATIONS

 

One Step Equations: Addition

Students will practice solving one-step addition equations that contain both positive and negative numbers. Students will learn the term VARIABLE and its definition.

One Step Equations: Subtraction

Students will learn how to solve one-step subtraction equations.

 

One Step Equations: Multiplication

Students will learn how to solve one-step multiplication equations.

 

One Step Equations: Division

Students will learn how to solve one-step division equations with both negative and positive integers.

 

One Step Equations: Decimals

Students will learn how to solve one-step decimal equations.

 

One Step Equations: Fractions

Students will learn how to apply their knowledge of fractions to solve one-step equations.

 

 

TWO STEP EQUATIONS

 

Two Step Equations: Introduction

Students will learn how to solve two-step equations.

 

The Distributive Property

Students will learn how to simplify expressions using the distributive property.

 

Combining Like Terms

Students will learn how to simplify expressions by combining like terms.

 

Combining Like Terms and The Distributive Property

Students will learn how to use the distributive property to combine like terms.

 

Solving Two Step Equations with the Distributive Property

Students will learn how to solve equations using the distributive property.

 

Two Step Equations- Variable On Both Sides of The Equation

Students will learn how to solve equations that have variables on both sides of the equation.

Two Step Equations- Solving for Missing Variables

Students will learn how to solve for a missing variable when there are missing variables on both side of an equation.

 

 

SOLVING EQUATIONS

 

Combining Like Terms and Solving Equations

Students will learn how to solve equations by combining like terms.

Distributive Property with Variables on Both Sides of the Equation

Students will learn how to use the distributive property to simplify and solve equations with variables on both sides of the equation.

 

Using the Distributive Property to Combine Like Terms and Solve Equations

Students will learn how to use the distributive property to combine like terms and solve equations.

 

 

EXPONENTS

 

Exponents Introduction

Students will learn what an exponent is and how to evaluate problems with exponents.

Exponents: Evaluating and Factoring Terms and Expressions

Students will learn how to evaluate and factor terms and expressions with exponents.

Exponents: Multiplying Terms

Students will learn how to multiply terms that have exponents.

 

Exponents: Dividing Terms

Students will learn how to divide terms with exponents.

 

 

PATTERNS AND FUNCTIONS

 


Patterns and Functions: Introduction

Students will learn about patterns and how to determine pattern rules.

 

Patterns and Functions: Types and Rules

Students will continue to learn about different patterns and pattern rules.

 

Patterns and Functions: Function Machines

Students will learn about and work with function machines.

 

Patterns and Functions: Writing Equation Rules

Students will learn how to write an equation rule for a function table.

 

Patterns and Functions: Creating Function Tables

Students will review writing equation rules for different function tables, and will learn how to create a function table from an equation rule.

Patterns and Functions: Function Table Equations

Students will learn how to write equations using the clues hidden in the function table. This will begin their preparation for graphing equations.

 

 

RATIOS AND PROPORTIONS

 

Ratios and Proportions: Ratios and Unit Rates

Students will learn about ratios and unit rates.

 

Ratios and Proportions: Proportions

Students will learn how to identify proportions and how to solve proportions.

 

Ratios and Proportions: Proportions in Problem Solving

Students will learn how to use proportions in problem solving.

 

Ratios and Proportions: Proportions and Algebra

Students will learn how to solve proportions that have algebraic expressions in them.

 

Ratios and Proportions: Solving Problems with Similar Triangles

Students will learn how to use proportions to solve problems involving similar triangles.

 

Ratios and Proportions: Proportions and Percents

Students will learn how to use proportions to solve problems with percentages.

Ratios and Proportions: Percents of Change

Students will learn about percents of change.

 

RATIONAL NUMBERS

 

Rational Numbers Introduction: Ordering and Comparing

Students will learn about rational numbers.

 

Rational Numbers: Adding

Students will learn how to add rational numbers.

 

Rational Numbers: Subtracting

Students will learn how to subtract rational numbers.

 

Rational Numbers: Multiplication

Students will learn how to multiply rational numbers.

 

Rational Numbers: Division

Students will learn how to divide rational numbers.

 

Rational Numbers: Dividing Rational Expressions

Students will learn how to divide rational expressions.

 

POLYNOMIALS

 

Polynomials: Multiplying Monomials

Students will learn about monomials and about how to multiply monomials.

 

Polynomials: Dividing by Monomials

Students will learn how to divide monomials.

 

Types of Polynomials: Monomials, Binomials and Trinomials

Students will learn about polynomial, monomials, binomials and trinomials.

 

Polynomials: Addition

Students will learn how to add polynomials.

 

Polynomials: Subtraction

Students will learn how to subtract polynomials.

 

Multiplying a Monomial with a Polynomial

Students will learn how to multiply monomials and polynomials.

 

Polynomials: Multiplying and Combining Like Terms/Solve

Students will learn to multiply monomials, combine like terms and solve for x.

 

Polynomials: Multiplying Polynomials (Part 1)

Students will learn to use the distributive property and FOIL to multiply binomials.

 

Polynomials: Multiplying Polynomials (Part 2)

Students will learn how to multiply polynomials.

 

Special Types of Polynomials

Students will learn how to find special products.

 

FACTORING

 

Factoring: Factors and Prime Factorization

Students will learn about factoring and prime factorization.

 

Factoring: Greatest Common Factors

Students will learn how to find the greatest common factors of both numbers and monomials.

 

Factoring: Factoring Polynomials

Students will learn how to factor binomials and trinomials.

Factoring: Factoring Polynomials with More Terms

Students will continue to learn how to factor polynomials.

Factoring Trinomials

Students will learn to factor trinomials.

 

Factoring Trinomials: Positive Negative Signs

Students will continue learning to factor trinomials into two binomials.

Factoring Trinomials: Quadratic TrinomialsNew

Students will learn how to factor quadratic trinomials.

Factoring Trinomials: Differences of SquaresNew

Students will learn to factor squares and the differences of squares.

 

 

RATIONAL EXPRESSIONS

 

 

Simplifying Rational Expressions

Students will learn how to simplify rational expressions.

 

Rational Expressions: Factor and Simplify

Students will learn how to factor and simplify rational expressions.

 

Multiplying Rational Expressions

Students will learn how to multiply rational expressions.

 

Multiplying Rational Expressions with Binomials and Trinomials

Students will learn how to multiply rational expressions with binomials and trinomials.

 

Dividing Rational Expressions

Students will learn how to divide rational expressions.

 

Dividing Rational Expressions: Trinomials

Students will learn how to divide rational expressions with trinomials.

 

Dividing Polynomials

Students will learn how to divide polynomials.

 

Adding and Subtracting Rational Expressions with Unlike Denominators

Students will learn how to add/subtract rational expressions with unlike denominators.

Adding and Subtracting Rational Expressions with Unlike Denominators Part 2

Students will continue to learn how to add or subtract rational expressions with unlike denominators.

Adding Rational Expressions with Like DenominatorsNew

Students will learn how to add rational expressions with like denominators.

 

Subtracting Rational Expressions with Like Denominatorsnew

Students will learn how to subtract rational expressions with common denominators.

 

Rational Expressions and Least Common MultiplesNew

Students will learn all about Least Common Multiples.

 

 

 

 


 

 

 

For more math lessons, please see the Math Lessons category.

 

 

 

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