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Pre-calculus Curriculum Map 2019-2020
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Time FrameStandardsSkills / Content (What is being taught)Materials UsedAssessmentsAccommodations
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September (5 days)All types of Factoring (Review)WorksheetsPeriodic QuizzesFollow 504's / IEP
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Factoring
https://www.nylearns.org/module/Standards/Tools/Search
DOTS; Trinomials; GCFTI - 84Worksheets
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Sum / Difference of cubesTeacher generated notesReview sheet
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Factoring by GroupingTest
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September (8 days)Reducing Rational expressionsWorksheetsPeriodic QuizzesFollow 504's / IEP
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Fractions
https://www.nylearns.org/module/Standards/Tools/Search
Multiply / Divide Rational ExpressionsTI - 84Worksheets
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Complex FractionsTeacher generated notesReview sheet
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Partial Fraction DecompositionTest
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Sept./Oct. (5 days)Simplify RadicalsWorksheetsPeriodic QuizzesFollow 504's / IEP
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Radicals
https://www.nylearns.org/module/Standards/Tools/Search
Rationalize a DenominatorTI - 84Worksheets
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Solving Radical EquationsTeacher generated notesReview sheet
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Test
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October (8 days)Exponent RulesWorksheetsPeriodic QuizzesFollow 504's / IEP
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Exponents
https://www.nylearns.org/module/Standards/Tools/Search
Rational ExponentsTI - 84Worksheets
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Solving Rational Exponent EquationsTeacher generated notesReview sheet
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Solving for an ExponentTest
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October (14 days)Logarithmic FunctionsWorksheetsPeriodic QuizzesFollow 504's / IEP
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Logarithms
https://www.nylearns.org/module/Standards/Tools/Search
Laws of LogarithmsTI - 84Worksheets
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Using Laws of Logs to solve equationsTeacher generated notesReview sheet
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Using Laws of Logs to solve equations Day 2Test
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Natural logarithms and the number e
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Ln vs Log - when to use each to solve
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growth and decay
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compound interest
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mortgage payment type ques.
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November (14 days)Trig FunctionsWorksheetsPeriodic QuizzesFollow 504's / IEP
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Trig Functions
https://www.nylearns.org/module/Standards/Tools/Search
Angles as RotationsTI - 84Worksheets
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Radian; Degree conversionsTeacher generated notesReview sheet
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Sectors S = OR; Area of a sector (radians)
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Unit Circle; CAST diagramTest
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Right triangle trig - 6 trig functions
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Reference <'s and "The Chart" special angles
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Exact values of Sin, Cos, Tan (no calculators)
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Exact values of all 6 trig functions
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Inverse trig functions
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December (10 days)Trig GraphsWorksheetsPeriodic QuizzesFollow 504's / IEP
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Trig Graphs
https://www.nylearns.org/module/Standards/Tools/Search
6 basic trig graphs TI - 84Worksheets
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Equations of Sin / Cos curves given a graphTeacher generated notesReview sheet
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Sketches of Sin / Cos curves (y= AsinBx) (y = AcosBx)
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Graphing Translations of sin and cos curvesTest
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Writing equations with translations of sin/cos curves
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December / January(16 days)
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Trig Applications
https://www.nylearns.org/module/Standards/Tools/Search
8 basic trig identitiesWorksheetsPeriodic QuizzesFollow 504's / IEP
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Trig identities w/complex fractionsTI - 84Worksheets
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Trig proofs with pythagorean identitiesTeacher generated notesReview sheet
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Solving simple trig. equations
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Difficult trig. equationsTest
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Double angle identities
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Sum / Difference identities
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January 21st;22nd; 23rd
Midterm Exam and ReviewReview SheetTest
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January/ February (15 days)
WorksheetsPeriodic QuizzesFollow 504's / IEP
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Conic Sections
https://www.nylearns.org/module/Standards/Tools/Search
Review distance and mipoint formulasTI - 84Worksheets
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equations of circles (x-h)^2 + (y-k)^2=r^2Teacher generated notesReview sheet
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Graphing an ellipse and finding the foci
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x^2/a^2 +y^2/b^2 =1Test
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graphing an ellipse centered other than the origin
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Graphing Hyperbolas
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x^2/a^2 - y^2/b^2 =1;xy = c
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Graphing a hyperbola centered other than the origin
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Circle; ellipse; and Hyperbola mixed graphs
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Completing the square to put an equation of a circle in center-radius form
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Completing the square to put an ellipse/hyperbola in standard form
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Writing equations of an Ellipse/Hyperbola given some information
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February / March ( 14 days)
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Matrices
https://www.nylearns.org/module/Standards/Tools/Search
What is a matrix; dimensions; transpose a matrixWorksheetsPeriodic QuizzesFollow 504's / IEP
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Scalar multiplication; Addition and Subtraction of matrices
TI - 84Worksheets
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Solving simple matrix equationsTeacher generated notesReview sheet
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Solving for variables using matrices
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Multiplication of matricesTest
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Finding Determinants
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Finding the inverse of a matrix
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Pi Day ; then Covid
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"New Learning from HOME"
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April (8 days)
https://www.nylearns.org/module/Standards/Tools/Search
Cramer's RuleGoogle ClasssroomPeriodic Quizzes
*Extended time given to all students, no penalties for late work
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MatricesAugmented MatricesVideo examplesWorksheets
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Teacher generated notesReview sheet
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Questions / responses via google classroom
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Test
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April / May / June (32 days)
https://www.nylearns.org/module/Standards/Tools/Search
Review Alg. 2 polynomialsGoogle ClasssroomPeriodic Quizzes
*Extended time given to all students, no penalties for late work
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PolynomialsSketching Polynomials; zeros; sign testVideo examplesWorksheets
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Long Division Teacher generated notesReview sheet