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• Math Assessed Benchmarks and Look Fors

Honors Algebra 2 pages 1-5

Advanced Integrated Math 6 pages 6-8

Advanced Integrated Math 7 pages 9-11

Integrated Math 6 pages 12-14

Integrated Math 7 pages 15-17

Integrated Math 8 pages 18-21

Discrete Math page 22

Integrated 1 pages 23-26

Integrated 2 pages 27-30

Integrated 3 pages 31-33

Integrated Geometry/Pre Calculus 4 page 34

Integrated Algebra/Geometry/Trig 4 pages 35-36

Honors Integrated 1 pages 37-40

Honors Geometry pages 41-44

Honors Trigonometry pages 45-50

Probability and Statistics page 55

AP Statistics pages 56-59

AP Calculus AB pages 60-63

• 1 | P a g e

Honors Algebra 2 Assessed Benchmarks & Look Fors

2010-2011

Quarter 1 Chapters 1, 2, 3 Standard #1 Number Sense 1.4b, 1.2a; Standard #2 Algebra 2.1 2.3 2.4a 2.6b Standard #3 Stats/Prob 3.1 Standard #4 Geometry 4.3 4.6

Chapter 1 Equations & Inequalities Simplify expressions & Solve equations & inequalities using algebraic methods. Simplify & Solve symbolic equations with multiple variables for a given variable.

Standard #1 Number Sense 1.4b , 1.2a

Real numbers and number operations

Algebraic expressions and models

Solving linear equations

Rewriting equations and formulas

Problem solving using algebraic models

Solving linear inequalities

Solving absolute value equations and inequalities

Apply appropriate computational methods to solve multi-step problems involving all types of numbers from the real number system.

Solve equations with more than one variable* for a given variable (for example, solve for p in 1= prt or for r in C=2pr).

Chapter 2 Graphing Linear Relations & Functions Identify, Create, Graph & Compare relations, linear functions, & inequalities. Create & Interpret data displays, scatter plots & best-fit lines for data sets.

Standard #2 Algebra 2.6b, 2.4a, 2.3, 2.1

Standard #4 Geometry Parallelism 4.6 4.3

Functions and their graphs Slope and rate of change

Given the rate of change, model real-world problems algebraically or graphically.

Quick graphs of linear equations

Solve problems involving functions and relations using calculators, graphs, tables, and algebraic methods*.

Writing & converting equations of parallel & perpendicular lines from slope intercept, point slope & standard form

Convert from one functional representation to another.

Identify and interpret x and y intercepts in the context of a problem.

Recognize when a relation is a function.

Linear inequalities in two variables

Piecewise functions & Absolute value functions

Correlation and best-fitting lines Standard #3 Stats/Prob 3.1

Chapter 3 Solving Systems of Eqns

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Solve 2 & 3 variable systems of equations using algebraic & graphical methods.

Solving linear systems by graphing

Solving linear systems algebraically

Graphing and solving systems of linear inequalities

Solve linear programming problems

Graphing linear equations in three variables

Solving systems of linear equations in three variables

Graph solutions to equations and inequalities in one-and two-dimensions.

Quarter 2 Chapters 4, 5, 6 Standard #2 Algebra 2.3b 2.7d Standard #4 Geometry 4.1 4.6 Standard #5 Measurement 5.1 5.8

Chapter 4 Using Matrices Apply proper matrix methods to solve 2 & 3 variable systems of equations. Apply matrix logic & operations to solve problems & geometric transformations.

Matrix operations

Multiplying matrices

Determinants and Cramers Rule

Identify, Calculate and use inverse matrices

Solving systems using inverse matrices

Use matrices to model simple geometric transformations- rotations & translations

Chapter 5 Polynomials & Radical Expressions Simplify & Solve expressions & equations with radical & fractional roots Simplify, Expand & Factor polynomial equations.

Add, Subtract, Multiply & Divide Monomials

Represent Values using Scientific Notation

Add, Subtract, Multiply & Divide polynomials

Divide polynomials using long and synthetic division

Factor polynomials

Simplify Radicals, with same indices and different indices

Estimate roots

Define the square and cubic roots as fractional exponents

Rationalize the denominator of a fraction to be rational

Graph, Analyze, Solve & Factor quadratic graphs, functions & equations. Apply multiple & different quadratic solving methods to real world phenomena.

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Solving quadratic equations by finding square roots

Complex numbers

Solving quadratic equations by Completing the square

The quadratic formula and the discriminant

Graphing and solving quadratic inequalities using calculator methods

Modeling real world actions/problems with quadratic functions Quarters 3 & 4 Chapters 8, 9 13, 12, 10, 11, 7, 14* *optional based on time Since many Alg 2 students take CSAP the above ordering of the chapters allows coverage of key10

CSAP ie Trig Ratios &Probability, this is only a suggestion, professional judgment should be used when planning your course outline for the appropriate grade level and testing preparation.

Chapter 8-Polynomial Functions

Graph, factor, synthetically divide & solve polynomial functions for zeros & roots. Determine, Graph & Analyze the composition & inverse of different functions.

Using properties of exponents

Evaluating and graphing polynomial functions

Adding, subtracting, and multiplying polynomials Standard #2

Factoring and solving polynomial equations Algebra

The remainder and factor theorems 2.6 2.4

Finding rational zeros

Using the fundamental theorem of algebra

Analyzing graphs of polynomial functions

Modeling with polynomial functions

Chapter 9- Rational Expressions Simplify, Solve & Graph Rational Expressions & Equations. Solve direct, joint & inverse relations using algebra & graphing techniques.

Apply direct variation to problem solving situations.

Apply Inverse variation to problem solving situations.

Use graphing and technology to explore rational function behavior

Simplify Rational Expressions Standard #2

Simplify Complex Fractions Algebra 2.3a 2.1a

Add and subtract rational expressions Standard #6

Solve rational equations and inequalities Computation

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Chapter 13 Trigonometric Functions Find & Use Trigonometric Ratios to solve Right triangle situations & problems. Identify & Solve problems identifying & using the Law of Sines & Cosines.

right triangle trigonometry

general angles and radian measure Standard #6

trigonometric functions of any angle Computation

inverse trigonometric functions

the law of sines

the law of cosines

introduction to the unit circle

Use trigonometric ratios in problem solving situations (for example, finding the height of a building from a given point, if the distance to the building and the angle of elevation are known).

Chapter 12- Probability Use counting & problem solving Techniques for Permutations & Combinations. Calculate independent & dependent probabilities of events (theoretical & exp.)

Differentiate between independent and dependent events to calculate the probability in real-world situations and apply organized counting techniques to determine combinations and permutations in problem solving situations.

the fundamental counting principles

combinations and the binomial theorem Standard #3

an introduction to basic probability Stats/Prob

probability of compound events

probability of independent and dependent events

binomial distributions

Theoretical vs Experimental Probabilities

Chapter 10- Exponents & Logs Simplify, Evaluate & Write expressions with & relating Real Exps & Logs. Use exponential, natural & logarithmic techniques to solve Exp. & Log. Eqns.

Solve problems involving exponential functions and relations using calculators, graphs, tables, and algebraic methods*.

exponential growth & decay

the number e

logarithmic functions

properties of logarithms

solving exponential logarithmic equations

modeling with exponential and power functions

logistic growth functions

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Chapter 11- Series & Sequences

Calculate & Use, Arithmetic & Geometric Terms & Sums Sequences & Series.

an introduction to sequences and series

arithmetic sequences and series

geometric sequences and series

infinite geometric series

recursive rule for sequences

Chapter 7- Conics

Write, Graph & Analyze the Equations of conic sections. Solve & Graph Systems &amp