math assessed benchmarks and look fors honors algebra 2 ... | p a g e honors algebra 2 assessed...

Download Math Assessed Benchmarks and Look Fors Honors Algebra 2 ...  | 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;

Post on 23-Mar-2018




1 download

Embed Size (px)


  • 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


    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

  • 2 | P a g e

    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

    Solve Equations containing radicals

    Chapter 6 Quadratics

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

  • 3 | P a g e

    Graphing quadratic functions

    Solving quadratic equations by factoring

    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

    th grade Topics before

    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

  • 4 | P a g e

    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

  • 5 | P a g e

    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