Below are skills needed, with links to resources to help with that skill. We also encourage plenty of exercises and book work. Curriculum Home

Important: this is a guide only.
Check with your local education authority to find out their requirements.

Reading: Why Study Algebra? Chapter 1: Working with Numbers and Variables Chapter 2: Introduction to Equations Chapter 3: Linear Equations Chapter 4: Inequalities Chapter 5: Systems of Equations Chapter 6: Polynomials Chapter 7: Factoring Chapter 8: Radicals Chapter 9: Quadratics Chapter 10: Rational Numbers Chapter 11: Statistics.
Found a problem? Credits: 1 Prerequisite: Pre-algebra Recommended: 8th, 9th Test Prep: PSAT, SAT Course Description: Students will engage in real world and hands-on problem solving while using their developing skills in algebra.

☐ Simplify radical terms (no variable in the radicand)

Free Algebra 1 worksheets created with Infinite Algebra 1. Printable in convenient PDF format.

☐ Surds

☐ Perform the four arithmetic operations using like and unlike radical terms and express the result in simplest form

☐ Simplifying Square Roots

☐ Understand and use scientific notation to compute products and quotients of large or small numbers.

☐ Scientific Notation

☐ Scientific Notation Definition

☐ Solve algebraic problems arising from situations that involve fractions, decimals, percents (decrease/increase and discount), and proportionality/direct variation

☐ Real World Examples of Quadratic Equations

☐ Evaluate expressions involving factorial(s), absolute value(s), and exponential expression(s)

☐ Laws of Exponents

☐ Absolute Value in Algebra

☐ Definition of Factorial

☐ Reciprocal

☐ Reciprocal In Algebra

☐ Zero Product Property

☐ Understand what is meant by a recurring decimal and how it is written.

☐ Converting Fractions to Decimals

☐ Know how to calculate n! for whole numbers n, and the relationship between n! and (n - 1)!

☐ Factorial Function !

☐ Understand what is meant by an imaginary number and a complex number.

☐ The Evolution of Numbers

☐ Imaginary Numbers

☐ Definition of Complex Number

☐ Understand what is meant by infinity and that infinity is not a Real number.

☐ Real Numbers

☐ Calculate rates using appropriate units (e.g., rate of a space ship versus the rate of a snail)

☐ US Standard Speed

☐ Girl Boy and Dog Puzzle

☐ The Fly and The Trains Puzzle

☐ Solve problems involving conversions within the metric measurement system, given the relationship between the units

☐ Conversion of Length

☐ Metric Numbers

☐ Conversion of Volume

☐ Conversion of Temperature - Celsius to Fahrenheit

☐ Calculate the relative error in measuring square and cubic units, when there is an error in the linear measure (metric measurements)

☐ Errors in Measurement

☐ Unit of Measurement

☐ Solve problems involving conversions within the US standard measurement system, given the relationship between the units

☐ Conversion of Length

☐ Unit Converter

☐ Conversion of Temperature - Celsius to Fahrenheit

☐ Calculate the relative error in measuring square and cubic units, when there is an error in the linear measure (US standard measurements)

☐ Errors in Measurement

☐ Unit of Measurement

☐ Translate a quantitative verbal phrase into an algebraic expression

☐ Introduction to Algebra

☐ Solving Word Questions

☐ Find values of a variable for which an algebraic fraction is undefined.

☐ Algebra Mistakes

☐ Using Rational Expressions

☐ Add or subtract fractional expressions with monomial or like binomial denominators

☐ Using Rational Expressions

☐ Multiply and divide algebraic fractions, and express the product or quotient in its simplest form

☐ Using Rational Expressions

☐ Recognize and factor the difference of two perfect squares

☐ Special Binomial Products

☐ Write verbal expressions that match given mathematical expressions

☐ Order of Operations - BODMAS

☐ Factor algebraic expressions completely, including trinomials with a lead coefficient of one (after factoring a GCF)

☐ Definition of Trinomial

☐ Solve literal equations for a given variable

☐ Solve equations involving fractional expressions.Note: Expressions which result in linear equations in one variable.

☐ Solving Equations

☐ Using Rational Expressions

☐ Solve algebraic proportions in one variable which result in linear or quadratic equations

☐ Distinguish the difference between an algebraic expression and an algebraic equation

☐ Translate verbal sentences into mathematical equations or inequalities

☐ Solving Inequality Word Questions

☐ Write algebraic equations or inequalities that represent a situation

☐ Solve complex equations of degree greater than two by making an appropriate change of variable.

☐ Degree

☐ Understand the difference between an equation and a formula.

☐ Know how to change the subject of a formula.

☐ Activity: Buffon's Needle

☐ Know the various meanings of the words 'Standard Form', including Scientific Notation.

☐ Standard Form

☐ Zero Product Property

Algebra 1 | Exponents

☐ Multiply and divide monomial expressions with a common base using the properties of exponents.Note: Use integral exponents only.

☐ Multiplying Polynomials

☐ Variables with Exponents - How to Multiply and Divide them

☐ Using Exponents in Algebra

☐ Determine whether a given value is a solution to a given linear equation in one variable or linear inequality in one variable

☐ Solving Inequalities

☐ Solve linear inequalities in one variable

☐ Determine whether a given point is in the solution set of a system of linear inequalities

☐ Graphing Linear Inequalities

☐ Graph linear inequalities

☐ Intervals

☐ Graphing Linear Inequalities

☐ Plot points using coordinates in three dimensions.

Algebra 1 | Linear Equations

☐ Solve systems of two linear equations in two variables algebraically

☐ Puzzle - Pencils and Jars

☐ Solve all types of linear equations in one variable

☐ Solving Equations

☐ Analyze and solve verbal problems whose solution requires solving a linear equation in one variable or linear inequality in one variable

☐ Balance when Adding and Subtracting

☐ Analyze and solve verbal problems whose solution requires solving systems of linear equations in two variables

☐ Solving Word Questions

☐ Solve a system of one linear and one quadratic equation in two variables, where only factoring is required.Note: The quadratic equation should represent a parabola and the solution(s) should be integers.

☐ Quadratic Equations

☐ Understand and apply the multiplication property of zero to solve quadratic equations with integral coefficients and integral roots

☐ Factoring Quadratics

☐ Solving Equations

☐ Understand the difference and connection between roots of a quadratic equation and factors of a quadratic expression

☐ Quadratic Equations

☐ Analyze and solve verbal problems that involve quadratic equations

☐ Solving Word Questions

☐ Add, subtract, and multiply monomials and polynomials

☐ Polynomials - Long Multiplication

☐ Definition of Monomial

☐ Like Terms

☐ Divide a polynomial by a monomial or binomial, where the quotient has no remainder. Use factoring with canceling, or Polynomial long division.

☐ Polynomials - Long Division

☐ Definition of Binomial

☐ Simplify fractions with polynomials in the numerator and denominator by factoring both and renaming them to lowest terms

☐ Polynomials - Long Division

☐ Understand Special Binomial Products

☐ Factoring in Algebra

☐ Use set-builder notation and/or interval notation to illustrate the elements of a set, given the elements in roster form

☐ Intervals

☐ Find the comple