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Precalculus TN Ready Performance Standards by Unit Precalculus – Curriculum Overview Precalculus TN Ready Performance Standards by Unit Precalculus – Curriculum Overview The following Practice Standards and Literacy Skills will be used throughout the course: Standards for Mathematical Practice Literacy Skills for Mathematical Proficiency 1. Make sense of problems and persevere in solving them. 1. Use multiple reading strategies. 2. Reason abstractly and quantitatively. 2. Understand and use correct mathematical vocabulary. 3. Construct viable arguments and critique the reasoning of others. 3. Discuss and articulate mathematical ideas. 4. Model with mathematics. 4. Write mathematical arguments. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. *Unless otherwise noted, all resources are from Glencoe Precalculus. Maury County Public Schools 5/8/18 Office of Instruction Pk-12 Precalculus TN Ready Performance Standards by Unit Precalculus – Curriculum Overview Quarter 1 Quarter 2 Quarter 3 Quarter 4 Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9 Unit 10 14 Days 16 Days 12 Days 16 Days 13 Days 12 Days 7 Days 16 Days 6 Days 14 Days Functions, Power, Exponential Trigonometric Trigonometric Matrices Conic Polar Parametric Sequences, Limits, & Polynomial, & Functions Identities & Sections Graphing & Equations Series, & End & Rational Logarithmic Equations Vectors Sigma Behavior Functions Functions Notation Standards (By number) P.F.BF.A.2 P.F.IF.A.5 P.F.IF.A.2 P.F.TF.A.1 P.G.TI.A.1 P.N.VM.C.7 P.A.C.A.1 P.N.VM.A.1 P.A.PE.A.1 P.A.S.A.1 P.F.BF.A.4 P.F.IF.A.2 P.N.NE.A.3 P.G.AT.A.3 P.G.TI.A.2 P.N.VM.C.8 P.A.C.A.2 P.N.VM.A.2 P.A.PE.A.2 P.A.S.A.2 P.F.IF.A.1 P.F.IF.A.4 P.N.NE.A.2 P.G.AT.A.4 P.G.AT.A.2 P.N.VM.C.9 P.A.C.A.3 P.N.VM.B.3 P.MCPS.3 P.A.S.A.3.a P.F.BF.A.1 P.F.IF.A.6 P.N.NE.A.1 P.F.TF.A.2 P.G.AT.A.5 P.N.VM.C.10 P.A.C.A.4 P.N.VM.B.4.a P.A.S.A.3.b P.F.BF.A.3 P.F.IF.A.7 P.MCPS.2 P.F.TF.A.3 P.G.AT.A.6 P.N.VM.C.11 P.N.VM.B.4.b P.A.S.A.3.c P.F.BF.A.5.a P.N.CN.B.6 P.F.GT.A.1 P.N.VM.C.12 P.N.VM.B.4.c P.F.IF.A.8 P.F.BF.A.5.b P.N.CN.B.7 P.F.GT.A.2 P.N.VM.C.13 P.N.VM.B.5.a P.A.S.A.4 P.F.BF.A.5.c P.N.NE.A.4 P.F.GT.A.3 P.A.REI.A.1 P.N.VM.B.5.b P.A.S.A.5 P.F.BF.A.5.d P.N.NE.A.5 P.F.GT.A.4 P.A.REI.A.2 P.N.VM.B.5.c P.F.BF.A.6 P.A.REI.A.3 P.F.GT.A.5 P.MCPS.5 P.N.CN.A.4 F.S.MD.A.3 P.A.REI.A.4 P.F.GT.A.6 P.N.CN.A.5 P.S.MD.A.1 P.F.GT.A.7 P.N.VM.B.6 P.S.MD.A.2 P.F.GT.A.8 P.N.CN.A.1 P.S.MD.A.3 P.G.AT.A.1 P.N.CN.A.2 P.MCPS.6 P.S.MD.A.3 P.G.PC.A.1 P.F.TF.A.4 P.G.PC.A.2 P.MCPS.1 P.G.PC.A.3 P.N.CN.A.3 P.MCPS.4 Green=Major Content Blue=Supporting Content Maury County Public Schools 5/8/18 Office of Instruction Pk-12 Precalculus TN Ready Performance Standards by Unit Unit 1 Functions, Limits, & End Behavior 14 Days Standards “I Can” Statements Functions P.F.BF.A.2 Develop an understanding of functions as elements that can be I can create functions by adding, subtracting, multiplication, division, and operated upon to get new functions: addition, subtraction, multiplication, composition of functions. division, and composition of functions. P.F.BF.A.4 I can construct the difference quotient for a given function and I can construct the difference quotient for a given function and simplify the simplify the resulting expression. resulting expression. I can determine whether a function is even, odd, or neither algebraically and P.F.IF.A.1 Determine whether a function is even, odd, or neither. graphically. P.F.BF.A.1 Understand how the algebraic properties of an equation transform the geometric properties of its graph. For example, given a I can describe the transformation of the graph resulting from the manipulation function, describe the transformation of the graph resulting from the of the algebraic properties of the equation (i.e., translations, stretches, manipulation of the algebraic properties of the equation (i.e., translations, reflections, and changes in periodicity and amplitude). stretches, reflections and changes in periodicity and amplitude) I can form a composite function. P.F.BF.A.3 Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon I can find the domain of a composite function. as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time. I can recognize the role that domain of a function plays in the combination of functions by composition of functions. P.F.BF.A.5 Find inverse functions (including exponential, logarithmic and trigonometric). a. Calculate the inverse of a function, f(x), with respect to each of the I can calculate the inverse of a function with respect to each of the functional functional operations; in other words, the additive inverse, − f(x), the operations. multiplicative inverse, 1/f(x), and the inverse with respect to composition, f- 1(x). Understand the algebraic and graphical implications of each type. I can verify by composition that one function is the inverse of another. b. Verify by composition that one function is the inverse of another. I can identify whether a function has an inverse with respect to composition and when functions are inverses of each other with respect to composition. c. Read values of an inverse function from a graph or a table, given that the function has an inverse. I can find an inverse function by restricting the domain of a function that is not one-to-one. d. Recognize a function is invertible if and only if it is one-to-one. Produce an invertible function from a non-invertible function by restricting the domain. P.F.BF.A.6 Explain why the graph of a function and its inverse are reflections I can explain why the graph of a function and its inverse are reflections of one of one another over the line y = x. another over the line y = x. Maury County Public Schools 5/8/18 Office of Instruction Pk-12 Precalculus TN Ready Performance Standards by Unit I can explore the properties of a limit by analyzing sequences and series. I can understand the relationship between a horizontal asymptote and the P.MCPS.6 Develop the concept of the limit using tables, graphs, and limit of a function at infinity. algebraic properties. I can determine the limit of a function at a specified number. I can find the limit of a function at a number using algebra. Statistics and Probability I can create scatter plots for bivariate data (linear, polynomial, trigonometric or exponential) to model real-world phenomena. P.S.MD.A.1 ★ Create scatter plots, analyze patterns and describe I can analyze patterns from the scatter plots that I created. relationships for bivariate data (linear, polynomial, trigonometric or exponential) to model real-world phenomena and to make predictions. I can describe relationships in the scatter plots. I can make prediction using the scatter plots. P.S.MD.A.2 ★Determine a regression equation to model a set of bivariate I can explain how to determine the best regression equation model that data. Justify why this equation best fits the data. approximates a particular data set. I can find the regression equation that best fits bivariate data. P.S.MD.A.3 ★Use a regression equation modeling bivariate data to make I can use a regression equation modeling bivariate data to make predictions. predictions. Identify possible considerations regarding the accuracy of predictions when interoplating or extrapolating. I can identify possible considerations regarding the accuracy of predictions when interpolating or extrapolating. Maury County Public Schools 5/8/18 Office of Instruction Pk-12 Precalculus TN Ready Performance Standards by Unit Sections/Topics Activities/Resources/Materials Extra Resources • www.shodor.org/interactive • Vocabulary • Pre-assessment • Set-builder notation • Maximum • Interval notation • Minimum Point of • Section 1 Functions • Function inflection • Vertical line test • Average rate of change • Section 2 Analyzing Graphs of Functions • Function notation • Secant line • Independent variable • Parent function • Section 3 Continuity, End Behavior, and Limits • Dependent variable • Constant function • Implied domain • Identity function • Section 4 Extrema and Average Rates of Change • Piecewise-defined function • Quadratic function • Line symmetry • Cubic function • Quiz • Point symmetry • Square root function • Even function • Reciprocal function • Section 5 Parent Functions and Transformations • Odd function • Absolute value function • Continuous function • Step function • Greatest integer function • Section 6 Function Operations and Composition of Functions • Discontinuous function • Limit • Transformation • Infinite discontinuity • Translation • Section 7 Inverse Relations and Functions • Jump discontinuity • Reflection • Removable discontinuity • Dilation • Unit Review • Nonremovable discontinuity • Composition of functions • Continuity test • Inverse relation • Unit 1 Test • Intermediate Value • Inverse function Theorem • Horizontal line test • End behavior • One-to-one function • Increasing • Decreasing • Constant • Critical points • Extrema • Relative Extrema • Absolute Extrema Maury County Public Schools 5/8/18 Office of Instruction Pk-12 Precalculus TN Ready Performance Standards by Unit Unit 2 Power, Polynomial, & Rational Functions 16 Days Standards “I Can” Statements Number and Quantity P.N.CN.B.6 Extend polynomial identities to the complex numbers.
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