HPHS Math Department Course Team Page (facilitator's name underlined)=

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Algebra 1: Debbie Dicker, Robin Gapinski, Nancy Nevarez, Patrick Shipp

(secondary members: Scott Leibfried, Lesa Friedrich, Kevin Higgins)

Algebra 1 summer workshop goals.docx Details Download 15 KB	11-20-13 log.docx Details Download 16 KB 11-6-13 log.docx Details Download 13 KB 2-1-12 log.docx Details Download 15 KB
Core targets -algebra I.doc Details Download 22 KB	11-30-11 log.docx Details Download 13 KB
unit 3 test- 5 common questions.docx Details Download 17 KB	11-2-11 log.docx Details Download 13 KB
Core topics checklist - unit 3.docx Details Download 19 KB	Log 2 for 10-19-11.docx Details Download 15 KB
Core topics checklist - unit 2.docx Details Download 18 KB	Log #1 for 9-7-11.docx Details Download 14 KB
Core targets -algebra I.doc Details Download 22 KB	2-8-12 log.docx Details Download 15 KB
Course Team 3rd Qtr Review and 4th Qtr Planning - April 2012.docx Details Download 17 KB	8-29-12 log.docx Details Download 13 KB
9-5-12 log.docx Details Download 15 KB	9-12-12 log.docx Details Download 13 KB

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Geometry: Jen Ochsner, Debby Finn, Jeremy Runyan, Deb Wilson, Laura Shahidpour

(secondary members: Andy Anderson, Megin Khoshaba)

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PreCalculus: Scottie Leibfried, Lizbeth Waller, Lauren "the juice" Simpson

(secondary members: Laura Shahidpour, Adam Washburn) updated 4.11.12

Precalculus Honors: Nina Maita, Liz Waller

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Algebra II: Adam Washberry, T Gibbs, Megin Khobayoshi

(secondary (but still important) members: Jen Ochsner )

Algebra 2 Course Team Log 1-16-13.docx

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Algebra 2 Course Team Log 2-6-13.docx

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• 16 KB

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Trig. & Related Topics: Andy Anderson, Tesa Edwards, Little Timmy Sirois, Eric Helkowski

last updated 2.5.14

TART Goal Setting.docx

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TART Meeting One Summary.docx

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Course Team Log.Oct 19.2011.docx

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• 14 KB

course team log - april 11.docx

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• 14 KB

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Vertical Alignment Work 10/12/11

POSSIBLE MISSING TOPICS: COMMON CORE MATH

• DOMAIN/RANGE
• BINOMIAL THEOREM/PASCALS TRIANGLE
• DILATION
• INVERTIBLE FUNCTIONS (RESTRICTING DOMAIN/RANGE TO ENSURE ONE-TO-ONE)
• GEOMETRIC CONSTRUCTIONS
• ANALYZING RESIDUALS (SCATTERPLOTS)
• EVEN/ODD/SYMMETRY/TRANSFORMATIONS
• PARAMETRIC EQUATIONS *Not CCSS*
• VECTORS
• STATISTICS: EXPECTED/PAYOFF VALUES
• COMPLETING THE SQUARE: Not taught until Pre-Calc

Content	Algebra I	Geometry	Algebra II/Trig	Pre-Calculus
Trigonometry		Right Δ trig	Right Δ trig Unit circle (degree and radian measure) Solving equations (linear and quadratic form), Graph sine, cosine, and tangent without translations and reflections. Review right Δ trig Review unit circle (emphasize radian measure) Solve and graph trig functions with translations (including reciprocal functions) Laws of sines/cosines (including ambiguous case) Area of a Arc length, area of sectors, Using trig identities (including Pythagorean, reciprocal, co-function, sum and difference, double angle, half angle)
Complex numbers			Add, subtract, multiply, and divide complex numbers Powers of i Powers of complex #s, multiply and divide complex #s in polar and rectangular form Roots of complex #s Polar coordinates (conversion between rectangular and polar) Polar graphing
Exponential and Logarithmic Functions			Writing, solving, and graphing exponential functions Car project (TVM) Real-life modeling of exponential growth/decay Properties of Logarithms (including change of base) Writing, solving, and graphing logarithmic functions Inverse relationship between exponentials and logs	Review properties of logs Review solving and graphing exponential and logarithmic functions Use exponential models to represent data
Polynomials	Arithmetic operations on polynomial expressions Properties of exponents including scientific notation	Review arithmetic operations on polynomial expressions Review operations on polynomial expressions Review properties of exponents Factoring Graphing functions including turning points, end behavior, number/type of solutions Solving equations by graphing, factoring, and synthetic division Characteristics of graphs (turning points, end behavior) Review writing, solving, and graphing polynomial equations Maximize/minimize area and volume (algebraically and graphically) Even/odd functions (CCSS)
Conic Sections	See Quadratics Writing and graphing equations of circles See Quadratics Completing the square Graphing quadratic relations (vertical and horizontal axes) Solving systems of conics Writing equations from graphs/key characteristics
Sequences & Series		Deductive reasoning and patterning		Arithmetic & Geometric Explicit Definition Recursive; infinite sequences/series Sigma notation Binomial Theorem (CCSS) Pascal’s Triangle (CCSS)
Statistics/Probability	Basic probability Compound probability (venn diagram) Statistics of Central Tendency Stem & Leaf plots Box & Whisker plots Geometric probability			Normal distribution Measures of central tendency Descriptive statistics Confidence interval Variability, z-scores Factorials Combination vs. permutation
Power Functions			Solving power equations Graph power functions Review solving and graphing power functions
Rational Functions			Solving rational equations Graphing rational functions Horizontal and Vertical asymptotes Removable and non-removable discontinuities See Limits
Limits				Evaluate limits analytically, graphically, numerically 1-sided limits Connect limits at infinity w/vertical & horizontal asymptotes Definition of continuity
Linear Equations	Review coordinate plane Solve algebraically & graph solution on a number line Solve proportions Applications (percent & conversions) Solve absolute value equations Find slope algebraically and graphically Graph using table of values, x & y-intercepts, slope and a point Vertical and horizontal lines Write equation in slope-intercept and point-slope form Equations of parallel and perpendicularlines Graphing on calculator Translating verbal phrases using mathematical notation Review setting up ratios and proportions Review solving proportions Review solving linear equations Review writing equations in slope-intercept and point-slope form Review graphing using x & y-intercepts, slope and a point Review equations of parallel and perpendicularlines Review slope Solve algebraically & graph solution on a number line Solve absolute value equations Find slope algebraically and graphically Graph using table of values, x & y-intercepts, slope and a point Vertical and horizontal lines Write equation in slope-intercept and point-slope form Equations of parallel and perpendicularlines Graphing on calculator Linear regression and applications
Linear Inequalities	Solve algebraically and graph solution on a number line Solve compound inequalities algebraically and graph solution on a number line Graph standard & slope-intercept forms only Translating verbal phrases using mathematical notation		Write, solve, graph with 1 and 2 variables
Functions	Define function, domain, range Function notation Evaluating functions		Define function, domain, range Function notation Evaluating functions Vertical line test Piecewise Write, solve, graph abs. value & rewrite as piecewise Composition Arithmetic operations of functions Horizontal Line Test for Inverse Functions Find and verify inverse functions Review definition of function, domain, range Review inverse functions Review compositions Interval notation Periodic functions
Systems of Linear Equations	Solve by graphing, substitution and linear combinations Applications Review solving by substitution and linear combinations		Review solving by graphing, linear combinations, and substitution Solve using matrices Find dimensions of matrices Arithmetic operations of matrices
Systems of Linear Inequalities	Solve by graphing		Solve by graphing Linear programming
Quadratics	Factoring (GCF, 2 binomials, grouping, difference of squares) Solve by factoring, square roots, quadratic formula Graph standard form Graph by factoring & using x-intercepts to graph Review solve by factoring		Factoring (emphasize leading coefficient ≠ 1) Completing the square Writing equations from given information Solve by square roots, factoring, quadratic formula, and completing the square Graph equations in vertex, intercept, and standard form including domain and range Complex #s Synthetic division Operations
Radicals	Review notation Simplify Arithmetic operations Rationalize Solve basic equations Pythagorean theorem Review simplifying and rationalizing Review arithmetic operations Review simplifying and rationalizing Review arithmetic operations Writing and graphing square root and cubed root functions Solve radical equations
Geometry Basics		Points, lines, planes Terminology & assumptions
Reasoning		Conditional/bi-conditional, converse Algebraic proofs
Triangles		Naming & classifying Corresponding parts Congruent and similar Altitude, median Properties Trig ratios & applications Special rt ∆ Pythagorean thm Distance, midpoint Prove angles congruent & similar
Parallel Lines		Theorems Slope Write, graph Proofs slope
Polygons		Quadrilaterals (similarity ratios, unit conversion) Area & perimeter measurement Classify	8.29.12_course team log_Geom.docx Details Download 16 KB
Circles		area, circumference arc length, area of a sector segments measurement Terminology Equation Line segments
Coordinate Geometry		Translations, reflections, dilations Rotations (quad, circle, ∆)
3-D figures		Lateral & surface area Volume