York Suburban Middle School Course Overview. Algebra 1

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1 York Suburban Middle School Course Overview I. Course Description Algebra Credit Length: School Year; Format: Meets Daily Prerequisite: Pre-Algebra Algebra 1 The Larson Algebra 1brings math to life with many real-life applications, and emphasizes the major topics of the high school curriculum through a series of content clusters. Important concepts are made understandable to all students through instructional diagrams and graphics, interactive activities, and numerous examples throughout the text. II. Materials /Equipment/Resources Textbook: McDougal Littell Algebra 1 III. Course Goals The student will be able to: Write and evaluate expr3ssions using exponents. Use tables and graphs to organize data to represent functions. Add, subtract, multiply, divide, graph and compare real numbers. Solve absolute value equations. Solve linear equations. Write equations in function form. Make predictions from scatter plots. Graph linear equations using a table of values, two points, and a point and the slope of the line. Identify equations of vertical, horizontal, and parallel line and equations that represent direct variation. Identify and evaluate functions. Write and use linear equations. Write the equation of a line when given a graph, the slope and a point on the line, or two points on the line. Develop and use linear models for real-life situations and find a linear equation that approximates a set of data points. Write, solve, and graph linear inequalities in one variable, including compound

2 inequalities. Solve absolute value equations and inequalities and graph linear inequalities in two variables. Organize data into stem-and-leaf and box-and-whisker plots, interpret the plots and determine the mean, median, and mode of a data set. Solve a system of two linear equations by using graphing, substitution, and linear combinations. Solve systems of liner inequalities by graphing. Multiply and divide expressions with exponents, including zero and negative exponents. Use scientific notation to represent numbers and solve problems. Graph exponential functions. Approximate and evaluate square roots and simplify radicals. Solve quadratic equations by finding square roots by using the quadratic formula Graph quadratic functions and use the x-intercepts of the graphs to solve quadratic equations. Graph quadratic inequalities. Add, subtract, and multiply polynomial expressions. Factor polynomial expressions. Use factoring to solve quadratic expressions. Solve and apply proportions. Solve and set-up percent problems Simplify rational expressions to find geometric probabilities. Add and subtract rational expressions. Divide polynomials by a monomial or binomial. Solve rational equations. Graph square root functions. Simplify expressions involving radicals and solve radical equations by factoring by using the quadratic formula or by completing the square root. IV. Units of Study /Course Topics Connections to Algebra Variables in Algebra Exponents and Powers Order of Operations Equations and Inequalities Problem Solving Tables and Graphs Introduction to Functions Properties of Real Numbers Real Number Line Addition, Subtraction, Multiplication of Real Numbers Adding and Subtracting Matrices Distributive Property Probability and Odd

3 Solving Linear equations Solving Equations using Addition, Subtraction, Multiplication and Division Solving Multi-Step Equations Linear Equations and Problem Solving Solving Decimal Equations Formulas and Functions Rates, Ratios, and Percents Graphing Linear Equations and Functions Coordinates and Scatter Plots Graphing Linear Equations Graphs using Intercepts Slope of a Line Direct Variation Slope-Intercept Form Solving Linear Equations Using Graphs Functions and Relations Writing Linear Equations Writing Linear Equations in slope-intercept Form Writing Linear Equations Given the Slope and a Point Writing Linear Equations given Two Points Best-Fitting Lines Point-Slope Form of a Linear Equation Standard Form of a Linear Equation Linear Modeling Solving and Graphing Linear Inequalities Solving Linear Inequalities Solving Compound Inequalities Solving Absolute-Value Equations and Inequalities Graphing Linear Inequalities in Two Variables Stem-and-Leaf Plots Mean, Median, and Mode Box-and-Whisker Plots Systems of Linear Equations and Inequalities Solving Linear Systems by Graphing Solving Linear Systems by substitution Solving Linear Systems by Linear Combinations Application of Linear Systems Special Types of Linear Systems Solving Systems of Linear Inequalities Exponents and Exponential Functions Multiplication Properties of Exponents Zero and Negative Exponents Division Properties of Exponents Scientific Notation

4 Exponential Growth and Decay Functions Quadratic Equations and Functions Solving Quadratic Equations by Finding Square roots Simplifying Radicals Graphing Quadratic Functions Solving Quadratic Equations by Graphing Solving Quadratic Equations by the Quadratic Formula Investigating Applications of the Discriminant Graphing Quadratic Inequalities Comparing Linear, Exponential, and Quadratic Models Polynomials and Factoring Adding, Subtracting, and Multiplying Polynomials Special Products of Polynomials Solving Polynomial Equations in Factored Form Factoring Rational Equations and Functions Ratio and Proportion Percents Direct and Inverse Variation Simplifying Rational Expressions Add, Subtract, Multiply and Divide Rational Expressions Rational Equations and Functions.Radicals and Connections to Geometry Functions involving Square Roots Operations with Radical Expressions Solving Radical Equations Completing the Square Pythagorean Theorem Distance and Midpoint Formulas Trigonometric Ratios Logical Reasoning V. Assessments Homework Assignments Daily Homework Graded Homework

5 Assessments Pretests Chapter 1, 2, and 3 Quizzes Tests Final Classwork Notebook/Class Notes/Vocabulary

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