ALGEBRA 1 SCOPE AND SEQUENCE​

(subject to revision)​

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Introduction

•  Introduction to Whole Numbers

• Use the Language of Algebra

• Add and Subtract Integers

• Multiply and Divide Integers

• Visualize Fractions

• Add and Subtract Fractions

• Decimals

• The Real Numbers

• Properties of Real Numbers

• Systems of Measurement

Solving Linear Equations and Inequalities​

• Solve Equations Using the Subtraction and Addition Properties of Equality

• Solve Equations using the Division and Multiplication Properties of Equality

• Solve Equations with Variables and Constants on Both Sides

• Use a General Strategy to Solve Linear Equations

• Solve Equations with Fractions or Decimals

• Solve a Formula for a Specific Variable

• Solve Linear Inequalities

Math Models​

• Use a Problem-Solving Strategy

• Solve Percent Applications

• Solve Mixture Applications

• Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem

• Solve Uniform Motion Applications

• Solve Applications with Linear Inequalities

Graphs

• Use the Rectangular Coordinate System

• Graph Linear Equations in Two Variables

• Graph with Intercepts

• Understand Slope of a Line

• Use the Slope-Intercept Form of an Equation of a Line

• Find the Equation of a Line

• Graphs of Linear Inequalities

Systems of Linear Equations​

• Solve Systems of Equations by Graphing

• Solving Systems of Equations by Substitution

• Solve Systems of Equations by Elimination

• Solve Applications with Systems of Equations

• Solve Mixture Applications with Systems of Equations

• Graphing Systems of Linear Inequalities

Polynomials​

• Add and Subtract Polynomials

• Use Multiplication Properties of Exponents

• Multiply Polynomials

• Special Products

• Divide Monomials

• Divide Polynomials

• Integer Exponents and Scientific Notation

Factoring​

• Greatest Common Factor and Factor by Grouping

• Factor Trinomials of the Form x2+bx+c

• Factor Trinomials of the Form ax2+bx+c

• Factor Special Products

• General Strategy for Factoring Polynomials

• Quadratic Equations

Rational Expressions and Equations​

• Simplify Rational Expressions

• Multiply and Divide Rational Expressions

• Add and Subtract Rational Expressions with a Common Denominator

• Add and Subtract Rational Expressions with Unlike Denominators

• Simplify Complex Rational Expressions

• Solve Rational Equations

• Solve Proportion and Similar Figure Applications

• Solve Uniform Motion and Work Applications

• Use Direct and Inverse Variation

Roots and Radicals​

• Simplify and Use Square Roots

• Simplify Square Roots

• Add and Subtract Square Roots

• Multiply Square Roots

• Divide Square Roots

• Solve Equations with Square Roots

• Higher Roots

• Rational Exponents

Quadratic Equations​

• Solve Quadratic Equations Using the Square Root Property

• Solve Quadratic Equations by Completing the Square

• Solve Quadratic Equations Using the Quadratic Formula

• Solve Applications Modeled by Quadratic Equations

• Graphing Quadratic Equations in Two Variables

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