1.7 Functions Determine whether a relation is a function Find function values F.IF.1 F.IF.2 F.IF.5 2 1.8 Interpreting Graphs of Function Interpret intercepts and symmetry of graphs of functions Interpret positive, negative, increasing and decreasing behavior, extrema and end behavior of graphs F.IF.4 2 - - - - 10 days - - 2.1 Writing Equations Translate sentences into equations Translate equations into sentences A.CED.1 1 2.2 Solving one-step equations equations by using addition and subtraction Solve equations by using multiplication and division A.REI.1 A.REI.3 1 (stress checking solutions due to skipping 1.5) 2.3 Solving equations Solve equations involving one operation Solve equations involving consecutive integers A.REI.1 A.REI.3 1 2.4 Solving equations with Variable on Each Side Solve equations with variable on each side Solve equations involving grouping symbols A.REI.1 A.REI.3 2 2.5 Solving Equations involving Absolute Value Evaluate absolute value expressions Solve absolute value equations A.REI.1 A.REI.3 2 2.6 Ratios and Proportions Compare ratios Solve Proportions A.REI.1 A.REI.3 1 2.8 Literal Equations and Dimensional Analysis Solve equations for given variables Use formulas to solve problems A.CED.4 A.REI.3 1 2.9 Weighted Averages Solve mixture problems A.REI.1 A.REI.3 2 Optional
4.3 Writing Equations in Form Write equations of lines in point-slope form Write linear equations in different form F.IF.2 F.LE.2 1 4.4 Parallel and Perpendicular Line an equation of the line that passes through a given point, parallel to a given line Write an equation of the line that passes through a given point, perpendicular to a given line F.LE.2 S.ID.7 1 4.5 Scatter Plots and Lines of Fit Investigate relationships between quantities by using points on a scatter plot Use lines of fit to make and evaluate predictions S.ID.6a S.ID.6c 1 4.6 Regression and Median-Fit Lines equations of best-fit lines using linear regression Write equations of lines S.ID.6a S.ID.6b S.ID.6c S.ID.8 Optional – graphing calc needed 4.7 Inverse Linear Functions Find the inverse of a relation Find the inverse of a linear function A.CED.2 F.BF.4a Optional – graphing calc needed - - - - 6 days - - 5.1 Solving inequalities by Addition and Subtraction Solve linear inequalities by using addition Solve linear inequalities by using subtraction A.CED.1 A.REI.3 1 5.2 Solving Inequalities by Multiplication and Division Solve Linear inequalities by using multiplication Solve linear inequalities by using division A.CED.1 A.REI.3 1 5.3 Solving multi-step Inequalities Solve linear inequalities involving more than one step A.CED.1 A.REI.3 2
Solve linear inequalities involving the distributive property 5.4 Solving Compound Inequalities Solve compound inequalities containing the word and, and graph their solution set compound inequalities containing the word or and graph their solution set A.CED.1 A.REI.3 3 5.5 Inequalities Involving Absolute Value Solve and graph absolute value inequalities (<) Solve and graph absolute value inequalities (>) A.CED.1 A.REI.3 2 5.6 Graphing Inequalities in Two Variables linear inequalities on the coordinate plane inequalities by graphing A.CED.3 A.REI.12 1 - - - - 10 days - - 6.1 Graphing Systems of Equations Determine the number of solutions a system of linear equations has Solve systems of linear equations by graphing A.CED.3 A.REI.6 A.REI.11 2 6.2 Substitution Solve systems of equations by using substitution Solve real-world problems involving systems of equations by using substitution A.CED.3 A.REI.6 1 6.3 Elimination Addition and Subtraction systems of equations by using elimination with addition Solve systems of equations by using elimination with subtractions A.CED.2 A.REI.6 1
6.4 Elimination Using Multiplication Solve systems by using elimination with multiplication Solve real-world problems involving systems of equations A.REI.5 A.REI.6 1 6.5 Applying Systems of Linear Equations Determine the best method of solving systems of equations systems of equations A.REI.6 2 6.6 Systems of Inequalities Solve systems of linear inequalities by graphing Apply systems of linear inequalities A.REI.12 1 (suggested opener topic) Optional - - - - 8 days - - Quarterly 2 Review for Quarterly Exam Chapter 4 Chapter 5 Chapter 6 24 days of Lessons 1 day 2 days 7.1 Multiplication Properties of Exponents Multiplying monomials using the properties of exponents Simplify expressional using the multiplication properties of exponents A.SSE.2 F.IF.8b 1 7.2 Division Properties of Exponents Divide monomials using the properties of exponents Simplify expressions containing negative and zero exponents A.SSE.2 F.IF.8b 2 7.3 Rational Exponents Evaluate and rewrite expressions involving rational exponents Solve equations involving expressions with rational exponents N.RN.1 N.RN.2 Optional 7.4 Scientific Notation Express numbers in scientific notation Review material Optional
Find the products and quotients of numbers expressed in scientific notation - - - - 3 days - - 8.1 Adding and Subtracting Polynomials Write polynomials in standard form Add and subtract polynomials A.SSE.1a A.APR.1 2 8.2 Multiplying a Polynomial by a Monomial Multiply a polynomial by a monomial Solve equations involving the products of monomials and polynomials A.APR.1 1 8.3 Multiplying Polynomials Multiplying binomials by using the FOIL method Multiply polynomials by the distributive property A.APR.1 1 8.4 Special Products Find the squares of sums and difference Find the product of a sum and difference A.APR.1 1 8.5 the Distributive Property Use the distributive property to factor polynomials the equations of the form ax2+bx=0 A.SSE.2 A.SSE.3a 2 8.6 Solving x2+bx+c=0 Factor trinomials of the form x2+bx+c Solve equations of the form x2+bx+c=0 A.SSE.3a A.REI.4b 2 8.7 Solving ax2+bx+c=0 Factor trinomials of the form ax2+bx+c Solve equations of the form ax2+bx+c=0 A.SSE.3a A.REI.4b 2 8.8 Differences of Squares Factor binomials that are the difference of squares A.SSE.3a A.REI.4b 1
Use the difference of squares to solve equations 8.9 Perfect Squares Factor perfect square Solve equations involving perfect squares A.SSE.3a A.REI.1 2 - - - - 14 days - - Quarterly 3 Review for Quarterly Exam Chapter 7 Chapter 8 17 days of Lessons 1 day 2 days 9.1 Graphing Quadratic Functions Analyze the characteristics of graphs of quadratic functions Graph quadratic functions F.IF.4 F.IF.5 F.IF.7a 2 (General characteristics) 9.2 Solving Quadratic Equations by Graphing quadratic equations by graphing Estimate solutions of quadratic equations by graphing A.REI.4b F.IF.7a 2 9.3 Transformations of Quadratic Functions Apply translations to quadratic functions Apply dilations and reflections to quadratic functions A.SSE.3b F.IF.7a 2 Optional 9-4 Solve Quadratic Equations by Completing the Square Complete the square to write perfect square trinomials Solve quadratic equations by completing the square A.REI.4 F.IF.8a 2 9-5 Quadratic Equations by using the Quadratic Formula Solve quadratic equations by using the Quadratic Formula Use the discriminant to determine the number of a solutions a quadratic has A.REI.4 2 (Objective 2 – optional) 9-6 Analyzing Functions with Successive Differences Identify linear, quadratic and exponential functions given data F.LE.1 2 (Optional – include absolute from 9-7)
9-7 Special Functions Identify and graph step functions Identify and graph absolute value and functions F.IF.4 F.IF.7b Optional - - - - 12 days - - 10-1 Square Root Functions and analyze dilations of radical functions Graph and analyze reflections and translations of radical functions F.IF.4 F.IF.5 F.IF.7b 1 10.2 Simplifying Radical Expressions Simplifying Radical Expressions by using the Product Property of Square roots Simplify radical expressions by the quotient property of square roots A.REI.4b 4 10.3 Operations with Radical Expressions Add and subtract radical expressions Multiply radical expressions N.RN.2 2 10.4 Radical Equations radical equations Solve radical equations with extraneous solutions (if time permits) N.RN.2 A.CED.2 1 (Example 1 and 2 only) 10.5 Pythagorean Theorem Solve problems by using the Pythagorean Theorem Determine whether a triangle is a right triangle Review material Include within lessons 10.6 Trigonometric Ratios Find trigonometric ratios of angles Use trigonometry to triangles G.SRT.6 G.SRT.7 Optional Optional - - - - 8 days - - 11.3 Simplifying Rational Expressions Identify values excluded from the domain of a rational expression A.APR.1 2
Simplify rational expressions 11.4 Multiplying and Dividing Rational Expressions Multiply rational expressions Divide rational expression A.APR.1 A.APR.6 1 11.5 Dividing Polynomials Divide a polynomial by a monomial Divide a polynomial by a binomial A.APR.1 A.APR.6 2 11.6 Adding and Subtracting Rational Expressions Add and subtract rational expressions with like denominators Add and subtract rational expressions with unlike denominators A.APR.1 3 - - - - 8 days - - Quarterly 4 Review for Quarterly Exam Chapter 9 Chapter 10 Chapter 11 28 days of Lessons 1 day 2 days Chap. 12 Statistics and Probability Optional