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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
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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
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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.
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
Simplify Radicals, with same indices and different indices
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.
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Graphing quadratic functions
Solving quadratic equations by factoring
Solving quadratic equations by finding square roots
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
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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
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
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 &