Algebra Homework (Entire Year of Math Concepts)

This listing is for my Algebra homework. There is a total of 77 math concepts (154 pages). The first page of each math concept includes 5 problems. The second page of each math concept includes (1) Find the mistake, (2) Create your own problem aligned to the math concept, and (3) Write a reflection.

Unit 1: Prerequisite for Algebra and Algebraic Expressions

• Rational/Irrational Numbers

• Real Number Properties (Commutative, Associative, Distributive, Additive Identity, Multiplicative, Zero Property, and Additive Inverse)

• Solve One-Step Equations Involving One Variable

• Solve and Graph One-Step Inequalities Involving One Variable

• Use Order of Operations to Simplify Expressions

• Analyze and Evaluate Expressions

• Define and Apply the Absolute Value

• Simplify Expressions by Combining Like Terms

• Simplify Expressions by using the Distributive Property

Unit 2: Solving and Graphing Linear Equations and Inequalities

• Solve Two-Step Equations involving One Variable

• Solve Multi-Step Equations involving One Variable

• Solve Equations with Variables on Both Sides involving One Variable

• Solve Equations involving Multi-Variables

• Solve and Graph Two-Step Inequalities

• Solve and Graph Multi-Step Inequalities

• Solve and Graph Compound Inequalities

• Solve Absolute Value Equations

• Solve and Graph Absolute Value Inequalities

• Properties of Equality (Addition, Subtraction, Multiplication, Division, Reflexive, Symmetric, Transitive, and Substitution)

• Use Proportions to Solve for an Unknown

Unit 3: Features of a Function

• Intro to Functions

• Evaluating a Function & Function Notation

• Domain, Range, Minimum, and Maximum

• Piecewise Functions

Unit 4: Sequences (Arithmetic and Geometric)

• Intro to Sequences

• Arithmetic Sequences (Recursive and Explicit)

• Geometric Sequences (Recursive and Explicit)

Unit 5: Graphing Lines and Determining Slope

• Plotting Points on the Coordinate System

• Determine Slope Given a Graph

• Determine Slope Given a Table or Two Points

• Define, Write, and Graph Slope-Intercept Form

• Determine a Linear Equations Given a Table

• Standard Form to Slope Intercept Form

• Determine Linear Equations Given a Graph

• Determine Linear Equations Given Two Points

• Determine and Graph the X and Y intercepts Given an Equation

• Graph Horizontal and Vertical Lines

• Write Equations of a Line Given a Slope and a Point, or Two Points

• Write Parallel and Perpendicular Lines Given an Equation

Unit 6: Expressions Containing Exponents

• Intro to Exponents

• Properties of Exponents

• Intro to Scientific Notation

• Converting Between Standard Form and Scientific Notation

• Adding and Subtracting Scientific Notation

• Multiplying and Dividing Scientific Notation

Unit 7: Solving and Graphing Systems of Equations and Inequalities

• The Three Types of Solutions: No Solution, Infinitely Many Solutions, and One Solution

• Solving Systems of Equations by Graphing, Substitution, and Elimination

• Write and Solve Word Problems involving Systems of Equations

• Solve and Graph Systems of Linear Inequalities involving One Variable

Unit 8: Identifying, Classifying, and Operations on Polynomials

• Intro to Polynomials

• Operations on Polynomials (Adding, Subtracting, Multiplying, and Dividing)

• Multiplication of Binomials

Unit 9: Features of Quadratics

• Intro to Quadratics: What is a quadratic?

• Solving Quadratics by Taking Square Roots

• The Quadratic Formula to Solve for Roots

• Using the Completing the Square to Solve for Roots

Unit 10: Defining and Simplifying Radicals

• What is a radical?

• Basic Properties of Simplifying Radicals

The homework is super easy to grade and I love that it is not a super long homework assignment. As a parent myself, my children are given homework from multiple classes. Along with their extracurricular activities, it makes it difficult when my children have homework from each class requiring more than an hour. Hence, I have simplified my homework so that students can demonstrate their knowledge of the math concept without taking a long time completing the homework. 

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