686d-e7de-8070-a1b4.docx 1 P a ge

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1 Livingston American School Quarter 3 Plan Concept - Topic To Teach: Chapter 4: Equations of Linear Functions Lesson 1: Graphing equations in Lesson 2: Writing equations in Chapter 4: Equations of Linear Functions Lesson 3: Writing equations in Lesson 4: Parallel and Chapter 4: Equations of Linear Functions Lesson 5: Scatter plots and lines of fit Lesson 7: Inverse linear functions Lesson 7: Inverse linear functions Chapter 5: Linear Inequalities Lesson 1: Solving inequalities by addition and subtraction Lesson 2: Solving inequalities by multiplication and division Lesson 3: Solving multi-step inequalities Common Core Standards Addressed: F.IF.7a Graph linear and quadratic functions and show intercepts, maxima, and minima. 7.ID.7 Interpret the slope and the intercept of a linear model in the context of the data F.BF.1 Write a function that describes a relationship between two quantities F.LE.2 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs. F.IF.2 Use function notation, evaluate S.ID.6 Represent data on two quantitative variables on a scatter plot, and describe how the variables are related S.ID.6a Fit a function to the data; use functions fitted to data to solve problems in the context of the data S.ID.6b Informally assess the fit of a function by plotting and analyzing residuals S.ID.6c Fit a linear function for a scatter plot that suggests a linear association S.ID.8 Compute and interpret the 686d-e7de-8070-a1b4.docx 1 P a ge S.ID.6 Represent data on two quantitative variables on a scatter plot, and describe how the variables are related S.ID.6a Fit a function to the data; use functions fitted to data to solve problems in the context of the data S.ID.6b Informally assess the fit of a function by plotting and analyzing residuals S.ID.6c Fit a linear function for a scatter plot that suggests a linear association S.ID.8 Compute and interpret the correlation coefficient of a linear fit A.CED.2 A.CED.1 Create equations and inequalities in one variable and use them to solve problems A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters

2 Vocabulary functions for inputs in their domains, and interpret statements that use function notation in terms of a context constant function constraint linear extrapolation parallel lines bivariate data scatter plot line of fit linear interpolation best-fit line linear regression correlation coefficient residual median-fit line inverse relation inverse function correlation coefficient of a linear fit A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales F.BF.4a Solve an equation of the form f(x) = c for a simple function that has an inverse and write an expression for the inverse constant function constraint linear extrapolation parallel lines bivariate data scatter plot line of fit linear interpolation best-fit line linear regression correlation coefficient residual median-fit line inverse relation inverse function Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales F.BF.4a Solve an equation of the form f(x) = c for a simple function that has an inverse and write an expression for the inverse constant function constraint linear extrapolation parallel lines bivariate data scatter plot line of fit linear interpolation best-fit line linear regression correlation coefficient residual median-fit line inverse relation inverse function inequality set-builder notation compound inequality intersection union boundary half-plane closed half-plane open half-plane 686d-e7de-8070-a1b4.docx 2 P a ge

3 Specific Objectives: Write and graph linear equations in Model real- data with equations in slope-intercept form Write the equation of a line in given the slope and one point Write an equation of a line in given two points Investigate relationships between quantities by using points on scatter plots Write equations of lines in Write linear equations in different forms Write an equation of the line that passes through a given point, parallel to the given line Write an equation of the line that passes through a given point, perpendicular to a given line Use lines of fit to make and evaluate predictions Write equations of best-fit lines using linear regression Write equations of median fit lines Find the inverse of a relation Find the inverse of a linear function addition subtraction multiplication division Solve linear inequalities involving more than one operation Solve linear inequalities using the Distributive Property Assessment Based On Objectives: Core Values: work work 686d-e7de-8070-a1b4.docx 3 P a ge

4 answers clearly between math and compassionate citizenship 686d-e7de-8070-a1b4.docx 4 P a ge

5 Week 9 Week 10 Week 11 Week 12 Concept - Topic To Teach: Chapter 5: Linear Inequalities Lesson 4: Solving compound inequalities Lesson 5: Inequalities involving absolute value Lesson 6: Graphing inequalities in two variables Chapter 6: Systems of Equations Lesson 1: Graphing systems of equations Lesson 2: Substitution Lesson 3: Elimination using addition and subtraction Chapter 6: Systems of Equations Lesson 4: Applying systems of linear equations Lesson 5: Systems of inequalities Chapter 7: Exponents and Exponential Functions Lesson 1: Multiplication properties of Exponents Lesson 2: Division Properties of Exponents Lesson 3: Rational exponents Common Core Standards Addressed: A.CED.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context A.REI.12 Graph the solutions to a linear inequality in two variables as a half-plane and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half planes. A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. A.CED.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. A.REI.6 Solve systems of linear equations exactly and approximately, focusing on pairs of linear equations in two variable. A.REI.6 Solve systems of linear equations exactly and approximately, focusing on pairs of linear equations in two variable. A.REI.12 Graph the solutions to a linear inequality in two variables as a half plane, and graph the solutions set to a system of linear inequalities in two variables as the intersections of the corresponding half planes. A.SSE.2 Use the structure of an expression to identify to rewrite it F.IF.8b Use properties of exponents to interpret expressions for exponential functions. N.RN.1 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing from the notation for the radicals in terms of rational exponents N.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents. Vocabulary inequality set-builder notation compound inequality intersection union boundary system of equations consistent independent dependent inconsistent substitution system of equations consistent independent dependent inconsistent substitution monomial constant zero exponent negative exponent order of magnitude rational exponent 686d-e7de-8070-a1b4.docx 5 P a ge

6 Specific Objectives: half-plane closed half-plane open half-plane Week 9 Week 10 Week 11 Week 12 Solve compound inequalities containing the word and, and graph their solution set. Solve compound inequalities containing the word or, and graph their solution set. Solve and graph absolute value inequalities (<, >) Graph linear inequalities in two variables on the coordinate plane Solve inequalities by graphing elimination system of inequalities Solve systems of equations using graphing Solve systems of equations using substitution Solve systems of equations using elimination elimination system of inequalities Use systems of linear equations to solve real problems Write and solve systems of linear inequalities cube root nth root exponential equation scientific notation exponential function exponential growth function exponential decay function compound interest geometric sequence common ratio recursive formula Use the multiplication properties of exponents to simplify expressions and equations Use the division properties of exponents to simplify expressions and equations Write and solve equations using rational exponents Assessment Based On Objectives: 686d-e7de-8070-a1b4.docx 6 P a ge

7 Week 9 Week 10 Week 11 Week 12 Core Values: work work answers clearly 686d-e7de-8070-a1b4.docx 7 P a ge