# Pre-Algebra Lesson Plan

Time4Learning’s integrated pre-algebra curriculum provides a comprehensive introduction to high school level algebra. It and allows students to start the sequence at many different entry points, to progress at their own pace, and to move ahead or back up at any time. Pre-algebra is available by request to 6th, 7th and 8th grade students at no additional charge.

Time4Learning’s middle school pre-algebra program combines engaging lessons in a logical sequence to build a sound foundation for algebra. Each unit begins with multimedia lessons followed by interactive practice exercises. Printable worksheets offer additional practice and online assessments are available to parents in order to track progress.

For more information, view the pre-algebra overview or learn how Time4Learning can help to conquer math anxiety.

### Pre-Algebra Lesson Plan

Total Activities: 313

#### Lesson 1: Arithmetic and Algebra – 2 Activities

This lesson introduces true, false, and open statements.

#### Lesson 2: Representing Numbers Using Letters – 2 Activities

This lesson introduces algebraic expression.

#### Lesson 3: Integers on the Number Line – 2 Activities

This lesson presents integers on a number line.

#### Lesson 4: Adding Integers – 2 Activities

This lesson shows how to add positive and negative integers.

#### Lesson 5: Subtracting Integers – 2 Activities

This lesson shows how to subtract positive and negative integers.

#### Lesson 6: Multiplying Integers – 2 Activities

This lesson presents the rules for multiplying (positive)(positive), (negative)(negative), and (positive)(negative) integers.

#### Lesson 7: Dividing Positive and Negative Integers – 2 Activities

This lesson presents the rules for dividing (positive)(positive), (negative)(negative), and (positive)(negative) integers.

#### Lesson 8: Simplifying Expressions – One Variable – 2 Activities

This lesson shows how to simplify expressions with one variable

#### Lesson 9: Simplifying Expressions – Several Variables – 2 Activities

This lesson shows how to simplify expressions containing several variables.

#### Lesson 10: Positive Exponents – 2 Activities

This lesson shows how to multiply and divide with exponents.

#### Lesson 11: Formulas with Variables – 2 Activities

The lesson introduces formulas for perimeter that include variables

#### Lesson 12: Application: Using a Formula – 2 Activities

The lesson presents the formula for ground speed as an application of a formula with variables.

#### Lesson 13: Modeling Expressions: Algebra Tiles – 2 Activities

Explore representing and simplifying algebraic expressions.

#### Lesson 1: Commutative Property of Addition – 2 Activities

This lesson uses a number line to demonstrate the commutative property of addition.

#### Lesson 2: Commutative Property of Multiplication – 2 Activities

This lesson demonstrates the commutative property of multiplication using a number line.

#### Lesson 3: Associative Property of Addition – 2 Activities

This lesson introduces the associative property of addition.

#### Lesson 4: Associative Property of Multiplication – 2 Activities

This lesson introduces the associative property of multiplication.

#### Lesson 5: The Distributive Property – Multiplication – 2 Activities

This lesson presents the distributive property of multiplication.

#### Lesson 6: The Distributive Property – Factoring – 2 Activities

This lesson discusses the use of the distributive property of multiplication to find the factors of an expression.

#### Lesson 7: Properties of Zero – 2 Activities

This lesson present the addition and multiplication properties of zero; 0 + a = a; 0 x a = 0

#### Lesson 8: Properties of 1 – 2 Activities

This lesson presents the multiplication properties of one and defines multiplicative inverses.

#### Lesson 9: Powers and Roots – 2 Activities

This lesson defines the root of a number.

#### Lesson 10: More on Powers and Roots – 2 Activities

This lesson introduces roots and powers in algebraic terms.

#### Lesson 11: Order of Operations – 2 Activities

This lesson presents the order of operations to be used in expressions.

#### Lesson 12: Application: Using Square Root – 2 Activities

This lesson uses an application of square roots in finding area.

#### Lesson 13: Properties of Real Numbers: Calculator – 2 Activities

Explore relationships of real numbers and operations using a calculator.

#### Lesson 1: Writing Equations – 2 Activities

This lesson demonstrates how statement of equality can be written as equations.

#### Lesson 2: Solving Equations: x – b = c – 2 Activities

This lesson presents the steps necessary for solving equations of the form x – b = c.graph the line of the equation.

#### Lesson 3: Solving Equations: x + b = c – 2 Activities

This lesson presents the steps necessary for solving equations of the form x + b = c.

#### Lesson 4: Solving Multiplication Equations – 2 Activities

This lesson introduces equations of the form ax = b.

#### Lesson 5: Solving Equations with Fractions – 2 Activities

This lesson applies the strategies for solving multiplication equations to equations with a fraction as the coefficient of the variable.

#### Lesson 6: Solving Equations – More than One Step – 2 Activities

This lesson introduces equations whose solutions require more than one operation.

#### Lesson 7: Equations Without Numbers – 2 Activities

This lesson presents literal equations for solution.

#### Lesson 8: Formulas – 2 Activities

This lesson introduces a special form of the literal equation, the formula.

#### Lesson 9: The Pythagorean Theorem – 2 Activities

This lesson presents the Pythagorean theorem.

#### Lesson 10: Inequalities on the Number Line – 2 Activities

This lesson explores equalities, inequalities, and disjunctions.

#### Lesson 11: Solving Inequalities with One Variable – 2 Activities

This lesson shows how to solve inequalities with one variable.

#### Lesson 12: Application: Using Equations – 2 Activities

This lesson applies the process of plotting points on a coordinate plane to graph polygons.

#### Lesson 13: Modeling Equations: Algebra Balance – 2 Activities

Explore representing and solving linear equations with one variable.

#### Lesson 1: Writing Equations – Odd and Even Integers – 2 Activities

This lesson introduces algebraic equations.

#### Lesson 2: Using the 1% Solution to Solve Problems – 2 Activities

This lesson introduces the 1% method of solving problems.

#### Lesson 3: Using the Percent Equation – 2 Activities

This lesson introduces the percent equation.

#### Lesson 4: Solving Distance, Rate, and Time Problems – 2 Activities

This lesson introduces formulas for distance, rate, and time.

#### Lesson 5: Using a Common Unit – Cents – 2 Activities

This lesson introduces writing and solving equations for cents.

#### Lesson 6: Calculating Simple Interest – 2 Activities

This lesson introduces the simple interest formula.

#### Lesson 7: Deriving a Formula for Mixture Problems; Interest formula – 2 Activities

This lesson introduces mixture problems.

#### Lesson 8: Ratio and Proportion – 2 Activities

This lesson introduces ratios and proportions.

#### Lesson 9: Application: Using Proportions – 2 Activities

This lesson introduces applications of proportions.

#### Lesson 10: Using Formulas: Calculator – 2 Activities

Explore the order of operations when solving formulas using a calculator.

#### Lesson 1: Exponents – 2 Activities

This lesson introduces exponent rules.

#### Lesson 2: Negative Exponents – 2 Activities

This lesson introduces negative exponents.

#### Lesson 3: Exponents and Scientific Notation – 2 Activities

This lesson demonstrates how to write numbers using scientific notation.

#### Lesson 4: Computing in Scientific Notation – 2 Activities

This lesson shows how to multiply and divide in scientific notation.

#### Lesson 5: Defining and Naming Polynomials – 2 Activities

This lesson introduces polynomials.

#### Lesson 6: Adding and Subtracting Polynomials – 2 Activities

This lesson demonstrates how to add and subtract polynomials.

#### Lesson 7: Multiplying Polynomials – 2 Activities

This lesson shows how to multiply monomials and polynomials.

#### Lesson 8: Special Polynomial Products – 2 Activities

This lesson shows the pattern of some polynomial products.

#### Lesson 9: Dividing a Polynomial by a Monomial – 2 Activities

This lesson shows how to divide a polynomial by a monomial.

#### Lesson 10: Dividing a Polynomial by a Binomial – 2 Activities

This lesson demonstrates how to divide a polynomial by a binomial.

#### Lesson 11: Polynomials in Two or More Variables – 2 Activities

This lesson shows how to evaluate polynomial expressions when the values of two or more variables are given.

#### Lesson 12: Application: Polynomial Interest – 2 Activities

This lesson shows an application of polynomials–calculating compound interest.

#### Lesson 13: Modeling Polynomials: Algebra Tiles – 2 Activities

Represent polynomials using manipulatives.

#### Lesson 1: Greatest Common Factor – 2 Activities

This lesson demonstrates how to factor composite numbers into prime numbers and defines greatest common factor (GCF).

#### Lesson 2: Factoring Polynomials – 2 Activities

This lesson applies understanding of the GCF to factoring algebraic sums and differences.

#### Lesson 3: Factoring Trinomials: x² + bx + c – 2 Activities

This lesson demonstrates how a trinomial is derived by multiplying two binomials and shows how to factor a trinomial.

#### Lesson 4: Factoring Trinomials: ax² + bx + c – 2 Activities

This lesson introduces and explains how to factor trinomials in which the x^2 element possesses a coefficient greater than 1.

#### Lesson 5: Factoring Expressions: a² – b² – 2 Activities

This lesson explains how the polynomial a^2 – b^2 models the difference of two perfect squares.

#### Lesson 6: Factoring Expressions: a² + 2ab + b² – 2 Activities

This lesson introduces perfect square trinomials and shows how they are factored.

#### Lesson 7: Zero as a Factor – 2 Activities

This lesson explains the zero product property.

#### Lesson 8: Solving Quadratic Equations – Factoring – 2 Activities

This lesson introduces quadratic equations and shows how to solve them using zero as a factor.

#### Lesson 9: Application: Frame Factor – 2 Activities

This application explains how to apply the factoring of quadratic equations to computing areas of shapes whose dimensions are unknown.

#### Lesson 10: Factoring Polynomials: Algebra Tiles – 2 Activities

Explore factoring polynomials using manipulatives.

#### Lesson 1: Organizing Data – 2 Activities

This lesson explains how to organize data in frequency tables, stem-and-leaf plots, bar graphs, and histograms.

#### Lesson 2: Range, Mean, Median, and Mode – 2 Activities

This lesson defines range, mean, median, and mode and explains how to calculate each for a given set of data.

#### Lesson 3: Box-and-Whiskers Plot – 2 Activities

This lesson explains how to construct a box-and-whiskers plot to illustrate the concentration and spread of data in a set.

#### Lesson 4: The Probability Fraction – 2 Activities

This lesson explains probability and how to calculate it.

#### Lesson 5: Probability and Complementary Events – 2 Activities

This lesson explains how to classify probabilities as not likely or very likely, more likely or less likely. It then shows how to determine the complement of a probability event.

#### Lesson 6: Tree Diagrams and Sample Spaces – 2 Activities

This lesson models the use of a tree diagram to show possible combinations in a sample space.

#### Lesson 7: Dependent and Independent Events – 2 Activities

This lesson explains how to determine the probability of events that are dependent or independent of one another.

#### Lesson 8: The Fundamental Principle of Counting – 2 Activities

This lesson explains how to use the fundamental principle of counting to find the number of possible outcomes.

#### Lesson 9: Application: Multistage Experiments – 2 Activities

This lesson illustrates an application of calculating probability for experiments with multiple stages.

#### Lesson 10: Fundamental Counting Principle: Calculator – 2 Activities

Explore the fundamental counting principle and factorial notation using a calculator.

#### Lesson 1: Fractions as Rational Numbers – 2 Activities

This lesson shows how to find the greatest common factor and how to use the greatest common factor to write fractions in simplest form.

#### Lesson 2: Algebraic Fractions – Rational Expressions – 2 Activities

This lesson shows how to write algebraic fractions in simplest form.

#### Lesson 3: Multiplying and Dividing Algebraic Fractions – 2 Activities

This lesson demonstrates how to find the product and quotient of Algebraic fractions.

#### Lesson 4: Complex Fractions and the LCM – 2 Activities

This lesson demonstrates how to find the least common multiple for a pair of numbers and how to simplify complex fractions.

#### Lesson 5: Least Common Multiples and Prime Factors – 2 Activities

This lesson explains how to use prime factorization to find the least common multiple and how to use factorization to simplify complex fractions.

#### Lesson 6: Sums and Differences – 2 Activities

This lesson demonstrates how to use the LCM to add or subtract fractions and write them in simplest form.

#### Lesson 7: Proportions and Fractions in Equations – 2 Activities

This lesson demonstrates how proportions can be solved using fractions.

#### Lesson 8: More Solutions to Equations with Fractions – 2 Activities

The lesson shows how to solve equations using multiplication and division.

#### Lesson 9: Denominators and Zero – 2 Activities

This lesson explains how to determine for which values an expression is undefined.

#### Lesson 10: Application: Working with Fractions – 2 Activities

This lesson demonstrates the application of rational numbers and fractional equivalents to solve work problems.

#### Lesson 11: Simplifying Expressions: Calculator – 2 Activities

Explore simplifying complex fractions using a calculator.

#### Lesson 1: The Coordinate System – 2 Activities

This lesson introduces the coordinate system and indicates how to represent points using ordered pairs of numbers.

#### Lesson 2: Graphing Equations – 2 Activities

This lesson demonstrates how to produce an ordered pair solution to an equation and use the ordered pair to graph the line of the equation.

#### Lesson 3: Intercepts of Lines – 2 Activities

This lesson explores the usefulness of the x- and y-intercepts of graphs.

#### Lesson 4: Slopes of Lines – 2 Activities

This lesson introduces the concept of the slope of a line.

#### Lesson 5: Simplifying Expressions: Calculator – 2 Activities

Explore simplifying complex fractions using a calculator.

#### Lesson 6: Writing Linear Equations – 2 Activities

This lesson introduces students to the general form for all linear equations: y = mx + b.

#### Lesson 7: Lines as Functions – 2 Activities

This lesson introduces students to functions.

#### Lesson 8: Domain and Range of a Function – 2 Activities

This lesson demonstrates several different ways to determine the domain and range of a graphed function.

#### Lesson 9: Graphing Inequalities: y < mx + b, y > mx + b – 2 Activities

This lesson presents methods for graphing inequalities.

#### Lesson 10: Graphing Inequalities: y <= mx + b, y >= mx + b – 2 Activities

This lesson expands information on how to graph inequalities that include equalities.

#### Lesson 11: Graphs Without Numbers – 2 Activities

This lesson introduces graphs without numbers.

#### Lesson 12: Application: Graphing – 2 Activities

This lesson applies the process of plotting points on a coordinate plane to graph polygons.

#### Lesson 13: Slope and Intercept: Grapher – 2 Activities

Explore the slope and y-intercept of linear equations.

#### Lesson 1: Parallel Lines – 2 Activities

This lesson introduces linear equations in the form of parallel lines and the standard form of linear equations.

#### Lesson 2: Describing Parallel Lines – 2 Activities

This lesson introduces equations for parallel lines that pass through a given point.

#### Lesson 3: Intersecting Lines – Common Solutions – 2 Activities

This lesson introduces intersecting lines and their common solutions.

#### Lesson 4: Solving Linear Equations – Substitution – 2 Activities

This lesson introduces the substitution method of solving a system of linear equations.

#### Lesson 5: Solving Linear Equations – Elimination – 2 Activities

This lesson introduces the elimination method of solving a system of linear equations.

#### Lesson 6: Graphing Systems of Linear Equations – 2 Activities

This lesson introduces the graphing method of solving a system of linear equations.

#### Lesson 7: And Statements – Conjunctions – 2 Activities

This lesson introduces conjunctions in the form of and statements.

#### Lesson 8: Problem Solving Using Linear Equations – 2 Activities

This lesson introduces problem solving using linear equations.

#### Lesson 9: Introduction to Matrices: Addition and Subtraction – 2 Activities

This lesson introduces the concept of a matrix and demonstrates how to add or subtract matrices.

#### Lesson 10: Multiplication of Matrices – 2 Activities

This lesson shows students how to multiply and find the product of two matrices.

#### Lesson 11: Application: Using Venn Diagrams – 2 Activities

This lesson introduces Venn diagrams.

#### Lesson 12: Common Solution: Grapher – 2 Activities

Explore the relationship between systems of equations and their common solution.

#### Lesson 1: Rational Numbers as Decimals – 2 Activities

This lesson introduces the set of real numbers.

#### Lesson 2: Rational Number Equivalents – 2 Activities

This lesson introduces equivalent fractions for decimal numbers.

#### Lesson 3: Irrational Numbers as Decimals – 2 Activities

This lesson introduces rational and irrational roots of integers.

#### Lesson 4: Products and Quotients of Radicals – 2 Activities

This lesson introduces radicals that are not in simplest form.

#### Lesson 7: Radicals in Equations – 2 Activities

This lesson introduces equations that contain a radical and a variable or unknown.

#### Lesson 8: Radicals and Exponents – 2 Activities

This lesson introduces expressions that, when rewritten or simplified, contain fractional exponents.

#### Lesson 9: Drawing and Using a Square Root Graph – 2 Activities

This lesson introduces the square root graph.

#### Lesson 10: Application: Falling Objects – 2 Activities

This lesson introduces the application of formulas related to moving objects.

#### Lesson 11: Powers and Roots: Calculator – 2 Activities

Explore powers and roots using a calculator.

#### Lesson 1: Angle and Angle Measure – 2 Activities

This lesson defines types of angles and line segments and demonstrates computation of angle measures.

#### Lesson 2: Pairs of Lines in Plane and in Space – 2 Activities

This lesson contrasts relationships of pairs of lines in a plane and in space and explains the relationships among angles formed in a plane.

#### Lesson 3: Angle Measures in a Triangle – 2 Activities

This lesson demonstrates the proofs of the theorems that the sum of the measures of the angles of any triangle is 180 degrees and the measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles.

#### Lesson 4: Naming Triangles – 2 Activities

This lesson classifies triangles by their angles and by their sides.

#### Lesson 5: Quadrilaterals – 2 Activities

This lesson presents five types of quadrilaterals and the measurement of their angles.

#### Lesson 6: Congruent and Similar Triangles – 2 Activities

This lesson introduces congruent and similar triangles and the theorems that prove congruence.

#### Lesson 7: Trigonometric Ratios – 2 Activities

This lesson explains trigonometric ratios and the formulas for calculating sine, cosine, and tangent.

#### Lesson 8: Application: Using Geometric Shapes – 2 Activities

This application explores the number of diagonals that can exist in a geometric shape, as a predictable pattern, related to the number of sides.

#### Lesson 9: Trigonometric Ratios: Calculator – 2 Activities

Explore trigonometric ratios using a calculator

#### Lesson 1: Solutions by Factoring – 2 Activities

This lesson introduces quadratic equations that can be solved by factoring.

#### Lesson 2: Writing the Equations from Their Roots – 2 Activities

This lesson introduces the concept of using the roots of a quadratic equation to generate the equation.

#### Lesson 3: Solving by Completing the Square – 2 Activities

This lesson introduces the completing the square method of solving quadratic equations.

#### Lesson 6: Application: Using Quadratic Equations – 2 Activities

This lesson introduces the application of a quadratic equation from the discipline of physical science.

#### Lesson 7: Modeling Quadratic Equations: Grapher – 2 Activities

Explore the attributes of quadratic equations through graphing.

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