Math+Department

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

Algebra 1: **__Debbie Dicker__**, Robin Gapinski, Nancy Nevarez, Patrick Shipp
//(secondary members: Scott Leibfried, Lesa Friedrich, Kevin Higgins)//
 * [[file:Algebra 1 summer workshop goals.docx]] || [[file:11-20-13 log.docx]][[file:11-6-13 log.docx]][[file:2-1-12 log.docx]] ||
 * [[file:Core targets -algebra I.doc]] || [[file:11-30-11 log.docx]] ||
 * [[file:unit 3 test- 5 common questions.docx]] || [[file:11-2-11 log.docx]] ||
 * [[file:Core topics checklist - unit 3.docx]] || [[file:Log 2 for 10-19-11.docx]] ||
 * [[file:Core topics checklist - unit 2.docx]] || [[file:Log #1 for 9-7-11.docx]] ||
 * [[file:Core targets -algebra I.doc]] || [[file:2-8-12 log.docx]] ||
 * [[file:Course Team 3rd Qtr Review and 4th Qtr Planning - April 2012.docx]] || [[file:8-29-12 log.docx]] ||
 * [[file:9-5-12 log.docx]] || [[file:9-12-12 log.docx]] ||

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Geometry: __Jen Ochsner__, Debby Finn, Jeremy Runyan, Deb Wilson, Laura Shahidpour
//(secondary members: Andy Anderson, Megin Khoshaba////)//

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=



Algebra II: __Adam Washberry__, T Gibbs, Megin Khobayoshi
//(secondary (but still important) members: Jen Ochsner )//

Trig. & Related Topics: __Andy Anderson__, Tesa Edwards, Little Timmy Sirois, Eric Helkowski
//last updated 2.5.14//

__**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 || [[file:8.29.12_course team log_Geom.docx]] ||  ||
 * 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 ||  ||   ||