WAYNESBORO AREA SCHOOL DISTRICT CURRICULUM - ALGEBRA 1 (June 2014) COURSE NAME: Algebra 1 UNIT: Chapter 1 Expressions, Equations, and Functions UNIT : How do you write and evaluate algebraic expressions, equations, functions and inequalities in multiple ways? Evaluate Expression (1.1) How do you evaluate algebraic expressions and powers? Chapter Resource Book Real-life applications and see website my.hrw.com Variable Power Base Exponent Algebraic Expression A1.1.1.3.1 CC.2.1.HS.F.1 CC.2.1.HS.F.2 CC.2.2.8.B.1 Apply Order of Operations (1.2) How do you use the order of operations to evaluate the expression? Order of Operations Write Expression (1.3) How do you write an expression to represent a real-world situation? Verbal Model Rate Unit Rate A1.2.1.2.2 CC.2.8.B.2 CC.2.4.HS.B.2 Write Equation and Inequalities (1.4) How do you write equations and inequalities? Equation Inequality Solution of an Equation Solution of an Inequality
CC.2.1.HS.F.3 CC.2.1.HS.F.4 CC.2.2.HS.C.2 CC.2.2.HS.C.4 CC.2.2.HS.C.6 Use a Problem Solving Plan (1.5) How can you use a problem solving plan to solve a problem? Use Pages 55 56 (Relation/Pairing) Formula Represent Functions as Rules and Tables (1.7) How do you represent functions as tables and rules? Use Pages 55 56 (Relation/Pairing) Function Domain/Input Range/Output Independent Variable Dependent Variable Relation (Pairing) Represent Function as Graphs (1.8) How do you represent functions as graphs? Function Domain/Input Range/Output
UNIT: Chapter 2 Solving Linear Equations UNIT : How can you use inverse operations to isolate variables? A.1.1.1.1.1 A.1.1.1.3.1 CC.2.1.8.E.1 CC.2.1.8.E.4 CC.2.1.HS.F.1 CC.2.1.HS.F.2 CC.2.2.8.B.1 Find Square Roots and Compare Real Numbers(2.1) How do you evaluate a square root and compare real numbers? Supplement Simplifying Square Roots (Use Pre-Alg book 9.2 OR old Alg Book 9.2) For Example: 8 = 2 2 Square Root Radicand Perfect Square Irrational Number Real Numbers A.1.1.2.1.1 CC.2.2.8.B.3 CC.2.1.HS.F.3 CC.2.1.HS.F.4 CC.2.2.HS.D.7 CC.2.2.HS.D.8 Solve One-Step Equations (2.2) How do you solve one-step equations using inverse operations? Equivalent Equations Reciprocal Inverse Operations Solve Two-Step Equations (2.3) How do you solve two-step equations using inverse operations? Like Terms A.1.1.2.1.1 CC.2.2.8.B.3 CC.2.1.HS.F.3 Solve Multi-Step Equations (2.4) How do you solve multistep equations using inverse operations? Reciprocal Like Terms Distributive Property
CC.2.1.HS.F.4 CC.2.2.HS.D.7 CC.2.2.HS.D.8 Solve Equations and Variables on Both Sides (2.5) How do you solve equation with variable on both sides using inverse operations? Identity Solve Proportions Using Cross Products (2.7) How do you solve proportions using cross products? Supplement Similar Figures and Probability Cross Product Rewrite Equations and Formulas (2.8) How do you use inverse operations to rewrite equations and formulas? Formula Literal Equation
UNIT: Chapter 3 Graphing Linear Equations and Functions UNIT : How can changes in linear equations and functions affect their graphs? How can linear equations and functions be used to solve real-world situations? A.1.2.2.2.1 A.1.2.3.2.2 A.1.2.3.2.3 CC.2.2.8.C.1 CC.2.2.8.C.2 CC.2.2.HS.C.1 CC.2.2.HS.C.5 CC.2.4.HS.B.1 CC.2.4.HS.B.3 CC.2.4.HS.B.5 Plot Points in a Coordinate Plane (3.1) How do you plot points in a coordinate plane? Quadrants Coordinate Plane Ordered Pair A.1.2.1.1.1 A.1.2.1.1.3 CC.2.2.HS.C.1 CC.2.2.HS.C.2 CC.2.4.HS.B.2 Graph Linear Equations (3.2) How do you graph a linear equation? Standard Form of a Linear Equation Linear Function A.1.2.2.1.4 CC.2.2.8.C.1 CC.2.2.8.C.2 CC.2.2.HS.C.1 CC.2.2.HS.C.5 A.1.2.2.1.2 A.1.2.2.1.4 CC.2.2.8.C.1 Graph Using Intercepts (3.3) Find Slope and Rate of Change (3.4) How do you use intercepts to graph equations? How do you find the slope of a line and interpret it as a rate of change? Slope Rate of Change X-intercept Y-intercept
CC.2.2.8.C.2 CC.2.2.HS.C.1 CC.2.2.HS.C.5 A1.2.1.2.1 A1.2.1.2.2 CC.2.8.B.2 CC.2.4.HS.B.2 CC.2.1.HS.F.3 CC.2.1.HS.F.4 CC.2.2.HS.C.2 CC.2.2.HS.C.4 CC.2.2.HS.C.6 Graph Using Slope- Intercept From (3.5) Model Direct Variation (3.6) How do you graph linear equations given in slopeintercept form? How do you write and graph direct variation equations? See Pg. 181 Opening Activity for 3.5 Extension Pg. 189 Parallel Slope-Intercept Form Direct Variation Constant of Variation A1.2.1.1.2 A1.2.1.1.3 CC.2.2.HS.C.2 CC.2.2.HS.C.1 CC.2.4.HS.B.2 Graph Linear Functions (3.7) What is function notation? Function Notation Family of Function Parent Linear Function
UNIT: Chapter 4 Writing Linear Equations UNIT : How do you write a linear equation based on given information? A1.1.2.1.3 A1.2.1.2.1 A1.2.2.1.1 A1.2.2.1.3 A1.2.2.2.1 CC.2.8.B.2 CC.2.4.HS.B.2 CC.2.4.HS.B.3 CC.2.1.HS.F.3 CC.2.1.HS.F.4 CC.2.2.HS.C.2 CC.2.2.HS.C.4 CC.2.2.HS.C.6 CC.2.2.HS.D.7 CC.2.2.HS.D.8 Write Linear Equations in Slope-Intercept Form (4.1) Use Linear Equations in Slope-Intercept Form (4.2) How do you write an equation of a line in slopeintercept form? How do you find the equation of the line given 2 points? Y-intercept Slope Slope-Intercept Form Y-intercept Slope Slope-Intercept Form
A1.1.2.1.3 CC.2.2.8.B.3 CC.2.1.HS.F.3 CC.2.1.HS.F.4 CC.2.2.HS.D.7 CC.2.2.HS.D.8 Write Linear Equations in Point-Slope Form (4.3) Write Linear Equations in Standard Form (4.4) How do you write linear equations in point-slope form? How do you write linear equations in standard form? Perpendicular Lines Point-Slope Form Standard Form Write Equations of Parallel and Perpendicular Lines (4.5) How do you write equations of parallel and perpendicular lines? Scatter Plot Correlation Association Graphing Calculator Activity Pg. 271-272 A1.2.2.2.1 A1.1.2.1.3 CC.2.4.HS.B.2 CC.2.4.HS.B.3 CC.2.2.HS.C.6 CC.2.2.8.B.3 CC.2.1.HS.F.3 CC.2.1.HS.F.4 CC.2.2.HS.D.7 CC.2.2.HS.D.8 Fit line to Data (4.6) Predict with Linear Models (4.7) How do you make scatter plots and write equations to model data? How can you use best fitting lines to make predictions about data? Line of Fit Best-fitting line Linear Regression Interpolation Extrapolation
UNIT: Chapter 5 Solving and Graphing Linear Inequalities UNIT : How can you solve and graph linear inequalities? A1.1.3.1.1 A1.1.3.1.2 A1.1.3.1.3 CC.2.2.HS.D.7 Solve inequalities Using Addition and Subtraction (5.1) Solve Inequalities Using Multiplication and Division (5.2) How do you solve inequalities using adding and subtraction? How do you solve inequalities using multiplication and division? Graph of an Inequality Equivalent Inequalities Inequality Solution of an Inequality Solve Multi-step Inequalities (5.3) How do you solve multistep inequalities? Solve Compound Inequalities (5.4) How do you solve compound inequalities? Graphing Calculator Activity Pg. 330 Compound Inequality A1.1.3.1.1 A1.1.3.1.2 Solve Absolute Value Equations (5.5) How do you solve an absolute value equations? Absolute Value Equation Absolute Value
CC.2.2.HS.D.7 Solve Absolute Value Inequalities (5.6) How do you solve an absolute value inequality? Equivalent Inequalities Compound Inequality A1.1.3.1.3 CC.2.2.HS.D.7 Graph Linear Inequalities in Two Variables (5.7) How do you graph a linear inequality in two variables? Linear inequality in two variables Graph of an inequality in two variables
UNIT: Chapter 6 Systems of Equations and Inequalities UNIT : A1.1.2.2.1 A1.1.2.2.2 CC.2.2.8.B.3 Solve Linear Systems by Graphing (6.1) How do you solve a linear system by graphing? Opening Activity Pg. 368 Graphing Calculator Activity Pg. 376 System of Linear Equations Solution of a Linear System Consistent Independent System Solve Linear Systems by Substitution (6.2) How do you solve a linear system by substitution? Solve Linear Systems by Adding or Subtracting (6.3) How do you solve a linear system using adding and subtracting (elimination/combination)? Solve Linear Systems by Multiplying First (6.4) How do you solve a linear system using multiplication (elimination/combination)? Least Common Multiple A1.1.2.2.1 A1.1.2.2.2 CC.2.2.8.B.3 Solve Special Types of Linear Systems (6.5) How can you identify the number of solutions of a linear system? See Pg. 411 and 412 to identify domain and range and interpret graphs (Piecewise Functions). Parallel Inconsistent System Consistent Dependent System System of Linear Equations
A1.1.3.2.1 A1.1.3.2.2 Solve Systems of Linear Inequalities (6.6) How do you solve systems of linear inequalities in two variables? System of Linear Inequalities Solutions of a System of Linear Inequalities Graph of a System of Linear Inequalities
UNIT: Chapter 7 Exponents and Exponential Functions UNIT : How can you use the properties of exponents to simplify expressions? A1.1.1.3.1 CC.2.1.HS.F.1 CC.2.1.HS.F.2 CC.2.2.8.B.1 Apply Exponent Properties Involving Products (7.1) How do you use properties of exponents using products? Opening Activity Pg. 434 Power Base Exponents Apply Exponent Properties Involving Quotients (7.2) How do you use properties of exponents using quotients? Define and Use Zero and Negative Exponents (7.3) How do you simplify expressions containing zero and negative exponents? Opening Activity Pg. 448
UNIT: Chapter 8 Polynomials and Factoring UNIT : How do you perform operations on polynomials? How do you factor and solve polynomials? A1.1.1.5.1 A1.1.1.5.3 CC.2.2.HS.D.1 CC.2.2.HS.D.2 CC.2.2.HS.D.3 CC.2.2.HS.D.5 CC.2.2.HS.D.6 Add and Subtract Polynomials (8.1) Multiply Polynomials (8.2) How do you add and subtract polynomials? How do you multiply polynomials? Graphing Calculator Activity Pg. 502 Degree Monomial Polynomial Leading Coefficient Binomial Trinomial A1.1.1.5.3 CC.2.2.HS.D.1 CC.2.2.HS.D.2 CC.2.2.HS.D.3 CC.2.2.HS.D.5 CC.2.2.HS.D.6 Find Special Products of Polynomials (8.3) Solve Polynomial Equations in Factored Form (8.4) How do you use special product patterns to multiply binomials? How do you solve polynomials in factored form? Roots Vertical Motion Model A1.1.1.5.2 A1.1.1.5.3 Factor x 2 + bx + c (8.5) How do you factor polynomials in the form x 2 + bx + c? Zero of a Function
CC.2.2.HS.D.1 CC.2.2.HS.D.2 CC.2.2.HS.D.3 CC.2.2.HS.D.5 CC.2.2.HS.D.6 Factor ax 2 + bx + c (8.6) How do you factor polynomials in the form a x 2 + bx + c? Trinomial Factor Special Products (8.7) How do you factor special products? Perfect Square Trinomial Factor Polynomials Completely (8.8) How do you factor polynomials completely? Factoring by Grouping Factor Completely A1.1.2.1 A1.1.1.5.2 A1.1.1.5.3 CC.2.1.6.E.3 CC.2.2.HS.D.1 CC.2.2.HS.D.2 CC.2.2.HS.D.3 CC.2.2.HS.D.5 CC.2.2.HS.D.6
UNIT: Simplifying Rational Expression (Supplementary Lesson from Chapter 11 Old Algebra Book) UNIT : How do you simplify rational expressions? A1.1.1.5.3 CC.2.2.HS.D.1 CC.2.2.HS.D.2 CC.2.2.HS.D.3 CC.2.2.HS.D.5 CC.2.2.HS.D.6 Simplifying Rational Expressions (11.4 Old Alg book and 5.4 New Alg 2 book) How do you simplify rational expressions? Simplifying Rational Expressions and knowing when the expression is undefined.
UNIT: Chapter 10 Data Analysis UNIT : How can you analyze and interpret data from different data displays? A1.2.3.2.1 A1.2.3.2.2 A1.2.3.1.1 CC.2.4.HS.B.1 CC.2.4.HS.B.3 CC.2.4.HS.B.5 Use Measures of Central Tendency and Dispersion (10.2) Analyze Data (10.3) How do you compare measures of central tendency and dispersion? How do you estimate or calculate to make predictions based on circle, line, or bar graph? Use pages SR24 SR27 Mean Median Mode Range Interpret Stem-and-Leaf Plots and Histograms (10.4) How do you make and interpret stem-and-leaf plots and histograms? Investigating Algebra Activity Pg. 678 Graphing Calculator Activity Pg. 684 Frequency Stem-and-Leaf Plot Frequency Table Histogram Interpret Box-and- Whisker Plots (10.5) How do you make and interpret box-and-whisker plots? Graphing Calculator Activity Pg. 691 Extension Pg. 692 Box-and-Whisker Plot Quartile Interquartile Range
UNIT: Chapter 11 Probability UNIT : How do you find the probability of different types of events? A1.2.3.3.1 CC.2.4.HS.B.4 CC.2.4.HS.B.7 Find Probabilities and Odds (11.1) How do you find the probability of an event? Outcome Event Sample Space Odds Probability Find Probabilities of Independent and Dependent Events (11.5) How do you find the probability of independent and dependent events? Independent Events Dependent Events ***After Keystones attempt to cover 1.6, Chapter 9, 11.2 11.4***