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: Algebra Tool Tutorials – 5 Activities

This lesson introduces true, false, and open statements.
This lesson introduces algebraic expression.
This lesson presents integers on a number line.
This lesson shows how to add positive and negative integers.
This lesson shows how to subtract positive and negative integers.
This lesson presents the rules for multiplying (positive)(positive), (negative)(negative), and (positive)(negative) integers.
This lesson presents the rules for dividing (positive)(positive), (negative)(negative), and (positive)(negative) integers.
This lesson shows how to simplify expressions with one variable
This lesson shows how to simplify expressions containing several variables.
This lesson shows how to multiply and divide with exponents.
The lesson introduces formulas for perimeter that include variables
The lesson presents the formula for ground speed as an application of a formula with variables.
Explore representing and simplifying algebraic expressions.

Chapter Test: Algebra: Arithmetic with Letters

This lesson uses a number line to demonstrate the commutative property of addition.
This lesson demonstrates the commutative property of multiplication using a number line.
This lesson introduces the associative property of addition.
This lesson introduces the associative property of multiplication.
This lesson presents the distributive property of multiplication.
This lesson discusses the use of the distributive property of multiplication to find the factors of an expression.
This lesson present the addition and multiplication properties of zero; 0 + a = a; 0 x a = 0
This lesson presents the multiplication properties of one and defines multiplicative inverses.
This lesson defines the root of a number.
This lesson introduces roots and powers in algebraic terms.
This lesson presents the order of operations to be used in expressions.
This lesson uses an application of square roots in finding area.
Explore relationships of real numbers and operations using a calculator.

Chapter Test: Rules of Arithmetic

This lesson demonstrates how statement of equality can be written as equations.
This lesson presents the steps necessary for solving equations of the form x – b = c.graph the line of the equation.
This lesson presents the steps necessary for solving equations of the form x + b = c.
This lesson introduces equations of the form ax = b.
This lesson applies the strategies for solving multiplication equations to equations with a fraction as the coefficient of the variable.
This lesson introduces equations whose solutions require more than one operation.
This lesson presents literal equations for solution.
This lesson introduces a special form of the literal equation, the formula.
This lesson presents the Pythagorean theorem.
This lesson explores equalities, inequalities, and disjunctions.
This lesson shows how to solve inequalities with one variable.
This lesson applies the process of plotting points on a coordinate plane to graph polygons.
Explore representing and solving linear equations with one variable.

Chapter Test: Linear Equations with One Variable and Inequalities in the Coordinate Plane

This lesson introduces algebraic equations.
This lesson introduces the 1% method of solving problems.
This lesson introduces the percent equation.
This lesson introduces formulas for distance, rate, and time.
This lesson introduces writing and solving equations for cents.
This lesson introduces the simple interest formula.
This lesson introduces ratios and proportions.
This lesson introduces applications of proportions.
Explore the order of operations when solving formulas using a calculator.

Chapter Test: Applications of Algebra

This lesson introduces exponent rules.
This lesson introduces negative exponents.
This lesson demonstrates how to write numbers using scientific notation.
This lesson shows how to multiply and divide in scientific notation.
This lesson introduces polynomials.
This lesson demonstrates how to add and subtract polynomials.
This lesson shows how to multiply monomials and polynomials.
This lesson shows the pattern of some polynomial products.
This lesson shows how to divide a polynomial by a monomial.
This lesson demonstrates how to divide a polynomial by a binomial.
This lesson shows how to evaluate polynomial expressions when the values of two or more variables are given.
This lesson shows an application of polynomials–calculating compound interest.
Represent polynomials using manipulatives.

Chapter Test: Exponents of Polynomials

This lesson demonstrates how to factor composite numbers into prime numbers and defines greatest common factor (GCF).
This lesson applies understanding of the GCF to factoring algebraic sums and differences.
This lesson demonstrates how a trinomial is derived by multiplying two binomials and shows how to factor a trinomial.
This lesson introduces and explains how to factor trinomials in which the x^2 element possesses a coefficient greater than 1.
This lesson explains how the polynomial a^2 – b^2 models the difference of two perfect squares.
This lesson introduces perfect square trinomials and shows how they are factored.
This lesson explains the zero product property.
This lesson introduces quadratic equations and shows how to solve them using zero as a factor.
This application explains how to apply the factoring of quadratic equations to computing areas of shapes whose dimensions are unknown.
Explore factoring polynomials using manipulatives.

Chapter Test: Factoring

This lesson explains how to organize data in frequency tables, stem-and-leaf plots, bar graphs, and histograms.
This lesson defines range, mean, median, and mode and explains how to calculate each for a given set of data.
This lesson explains how to construct a box-and-whiskers plot to illustrate the concentration and spread of data in a set.
This lesson explains probability and how to calculate it.
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.
This lesson models the use of a tree diagram to show possible combinations in a sample space.
This lesson explains how to determine the probability of events that are dependent or independent of one another.
This lesson explains how to use the fundamental principle of counting to find the number of possible outcomes.
This lesson illustrates an application of calculating probability for experiments with multiple stages.
Explore the fundamental counting principle and factorial notation using a calculator.

Chapter Test: Data, Statistics and Probability

Chapter 1 Review: Arithmetic with Letters – 1 Activity

Chapter 2 Review: Rules of Arithmetic – 1 Activity

Chapter 3 Review: Linear Equations with One Variable – 1 Activity

Chapter 4 Review: Applications of Algebra – 1 Activity

Chapter 5 Review: Exponents of Polynomials – 1 Activity

Chapter 6 Review: Factoring – 1 Activity

Chapter 7 Review: Data, Statistics and Probability – 1 Activity

Chapter Test: Midterm

This lesson shows how to find the greatest common factor and how to use the greatest common factor to write fractions in simplest form.
This lesson shows how to write algebraic fractions in simplest form.
This lesson demonstrates how to find the product and quotient of Algebraic fractions.
This lesson demonstrates how to find the least common multiple for a pair of numbers and how to simplify complex fractions.
This lesson explains how to use prime factorization to find the least common multiple and how to use factorization to simplify complex fractions.
This lesson demonstrates how to use the LCM to add or subtract fractions and write them in simplest form.
This lesson demonstrates how proportions can be solved using fractions.
The lesson shows how to solve equations using multiplication and division.
This lesson explains how to determine for which values an expression is undefined.
This lesson demonstrates the application of rational numbers and fractional equivalents to solve work problems.
Explore simplifying complex fractions using a calculator.

Chapter Test: Fractions and Algebra

This lesson introduces the coordinate system and indicates how to represent points using ordered pairs of numbers.
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.
This lesson explores the usefulness of the x- and y-intercepts of graphs.
This lesson introduces the concept of the slope of a line.
Explore simplifying complex fractions using a calculator.
This lesson introduces students to the general form for all linear equations: y = mx + b.
This lesson introduces students to functions.
This lesson demonstrates several different ways to determine the domain and range of a graphed function.
This lesson presents methods for graphing inequalities.
This lesson expands information on how to graph inequalities that include equalities.
This lesson introduces graphs without numbers.
This lesson applies the process of plotting points on a coordinate plane to graph polygons.
Explore the slope and y-intercept of linear equations.

Chapter Test: Linear Equations and Inequalities in the Coordinate Plane

This lesson introduces linear equations in the form of parallel lines and the standard form of linear equations.
This lesson introduces equations for parallel lines that pass through a given point.
This lesson introduces intersecting lines and their common solutions.
This lesson introduces the substitution method of solving a system of linear equations.
This lesson introduces the elimination method of solving a system of linear equations.
This lesson introduces the graphing method of solving a system of linear equations.
This lesson introduces conjunctions in the form of and statements.
This lesson introduces problem solving using linear equations.
This lesson introduces the concept of a matrix and demonstrates how to add or subtract matrices.
This lesson shows students how to multiply and find the product of two matrices.
This lesson introduces Venn diagrams.
Explore the relationship between systems of equations and their common solution.

Chapter Test: Systems of Linear Equations

This lesson introduces the set of real numbers.
This lesson introduces equivalent fractions for decimal numbers.
This lesson introduces rational and irrational roots of integers.
This lesson introduces radicals that are not in simplest form.
This lesson introduces addition and subtraction of radicals.
This lesson introduces fractional radicals.
This lesson introduces equations that contain a radical and a variable or unknown.
This lesson introduces expressions that, when rewritten or simplified, contain fractional exponents.
This lesson introduces the square root graph.
This lesson introduces the application of formulas related to moving objects.
Explore powers and roots using a calculator.

Chapter Test: Irrational Numbers and Radical Expressions

This lesson defines types of angles and line segments and demonstrates computation of angle measures.
This lesson contrasts relationships of pairs of lines in a plane and in space and explains the relationships among angles formed in a plane.
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.
This lesson classifies triangles by their angles and by their sides.
This lesson presents five types of quadrilaterals and the measurement of their angles.
This lesson introduces congruent and similar triangles and the theorems that prove congruence.
This lesson explains trigonometric ratios and the formulas for calculating sine, cosine, and tangent.
This application explores the number of diagonals that can exist in a geometric shape, as a predictable pattern, related to the number of sides.
Explore trigonometric ratios using a calculator

Chapter Test: Geometry

This lesson introduces quadratic equations that can be solved by factoring.
This lesson introduces the concept of using the roots of a quadratic equation to generate the equation.
This lesson introduces the completing the square method of solving quadratic equations.
This lesson introduces the quadratic formula method of solving quadratic equations.
This lesson introduces the application of a quadratic equation from the discipline of physical science.
Explore the attributes of quadratic equations through graphing.

Chapter Test: Quadratic Equations

Chapter 1 Review: Arithmetic with Letters – 1 Activity

Chapter 2 Review: Rules of Arithmetic – 1 Activity

Chapter 3 Review: Linear Equations with One Variable – 1 Activity

Chapter 4 Review: Applications of Algebra – 1 Activity

Chapter 5 Review: Exponents of Polynomials – 1 Activity

Chapter 6 Review: Factoring – 1 Activity

Chapter 7 Review: Data, Statistics and Probability – 1 Activity

Chapter 8 Review: Fractions and Algebra – 1 Activity

Chapter 9 Review: Linear Equations and Inequalities in the Coordinate Plane – 1 Activity

Chapter 10 Review: Systems of Linear Equations – 1 Activity

Chapter 11 Review: Irrational Numbers and Radical Expressions – 1 Activity

Chapter 12 Review: Geometry – 1 Activity

Chapter 13 Review: Quadratic Equations – 1 Activity

Final Chapter Test

Scope & Sequence Copyright © 2016 CompassLearning, Inc. All rights reserved.

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In algebra, students learn about Venn Diagrams and other systems of linear equations

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