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Antelope Valley Union High School District
Honors Algebra II/Trigonometry
Curriculum Outline
Course Title: Honors Algebra II/
Trigonometry
Date Adopted: March 17, 1999
Department: Mathematics
Fulfills UC/CSU Requirement: Yes
Pre-Requisite: Geometry With a Grade
of B or better and
Instructor Approval
Fulfills CSF Requirement: Yes
Length of Course: 2 Semesters
Fulfills H/S Graduation Credit As:
Required
Elective X
Semester Units/Credits: 5
Course No.: 10419A
Grade Level: 10 - 12
I.
Course Description
This course covers all the essential topics of Algebra II and Trigonometry/Pre-Calculus in
an advanced and accelerated manner. It covers all of the California Mathematics
Academic content Standards (1998) for Algebra 2, Trigonometry and Probability and
Statistics.
II.
Rationale
Honors Algebra-Trigonometry enables those college bound students who are capable of
handling an accelerated math course who wish to take Calculus in high school to do so if
they were not advanced to the geometry level in their freshman year. It also allows
students who take Geometry in their freshmen year to take two years of calculus in high
school.
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Honors Algebra II/Trigonometry
Curriculum Outline
1. Number and Number Theory
The student will demonstrate an understanding of number concepts and number theory by
identifying and using the forms of complex numbers and by applying number properties and
algebraic procedures to solve algebraic problems.
1.1
Understands Real Number System
The student will demonstrate understanding of the real number system.
ALGII-001
1.1.1
Explains Similarities/Differences of Subsystems
The student will explain the similarities and differences in the subsystems of
real numbers (e.g., rational, complex, prime, factors, multiples). (Essential)
ALGII-002
1.1.2
Defines Abstract Math Concepts
The student will define abstract mathematical concepts (e.g., imaginary
numbers, absolute value, irrational numbers). (Essential)
1.2
Performs Operations With Real Numbers
The student will perform operations on number sentences containing exponents.
ALGII-008
1.2.1
Reduces Fractions With Positive/Negative Exponents
The student will reduce fractions with positive and negative exponents in the
denominator. (Essential)
ALGII-009
1.2.2
Performs Operations - Exponents
The student will perform operations on number sentences containing integral
and fractional exponents. (Essential)
1.3
Understands Complex Numbers
The student will demonstrate understanding of complex numbers.
ALGII-019
1.3.1
Relates Complex Numbers to Real/Imaginary
The student will describe the complex number system in relation to real
numbers and imaginary numbers. (Essential)
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Honors Algebra II/Trigonometry
Curriculum Outline
ALGII-020
1.3.2
Performs Operations on Complex Numbers
The student will add, subtract, multiply, and divide complex numbers.
(Essential)
2. Measurement
The student will demonstrate an understanding of measurement by applying geometric and
trigonometric units of measure to mathematical problems.
2.1
Measures/Calculates Quantities
The student will measure and calculate quantities (e.g., area, angles).
MAAN-015
2.1.1
Uses and Converts Degree/Radian Measures
The student will use degree and radian measures and convert from one to the
other. (Essential)
MAAN-016
2.1.2
Solves Triangle Problems/Finds Areas
The student will solve problems related to triangles and find their areas.
(Essential)
3. Geometry - Algebra
The student will demonstrate an understanding of geometry appropriate to algebra by using
coordinate geometry techniques to solve problems.
3.1
Understands Geometric Relationships
The student will demonstrate understanding of relationships among geometric figures.
ALGII-036
3.1.1
Solves Problems/Coordinate Axes
The student will solve problems involving lines and figures that have been
constructed on coordinate axes. (Essential)
ALGII-037
3.1.2
Uses Pythagorean Theorem
The student will use the Pythagorean theorem to solve problems involving
triangles. (Essential)
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Honors Algebra II/Trigonometry
Curriculum Outline
ALGII-038
3.1.3
Applies Formulas - Triangles
The student will apply the side/angle and angle formulas to solve problems
involving triangles. (Essential)
ALGII-039
3.1.4
Solves Word Problems Using Trigonometry
The student will solve word problems involving the missing sides and
angles of a right triangle, using trigonometric ratios. (Essential)
4. Geometry - Lines/Planes/Vectors
The student will identify and apply the properties of lines, planes, and vectors and use vectors to
solve problems.
4.1
Uses Trigonometric Functions to Solve Vector Problems
The student will use trigonometric functions to solve problems involving vectors.
MAAN-096
4.1.1
Demonstrates Properties of Vectors
The student will demonstrate the properties of vectors in planes and space.
(Essential)
MAAN-097
4.1.2
Demonstrates Properties of Lines
The student will demonstrate the properties of lines in planes and space
through the use of parametric equations. (Expected)
MAAN-098
4.1.3
Demonstrates Properties of Planes
The student will demonstrate the properties of planes in space. (Expected)
MAAN-099
4.1.4
Determines Norm/Direction of Vectors
The student will determine the norm and direction of vectors. (Essential)
MAAN-100
4.1.5
Determines Operations on Two Vectors
The student will determine the sum, difference, dot, and cross products of
two vectors pictured on a graph, in addition to scalar multiples and parallel
and perpendicular vectors to a given vector. (Expected)
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Honors Algebra II/Trigonometry
Curriculum Outline
MAAN-101
4.1.6
Identifies Vector Diagram
The student will identify a diagram that represents vector addition.
(Essential)
5. Functions
The student will demonstrate an understanding of functions by relating functions to real-world
phenomena, by translating among tabular, symbolic, and graphic representations of functions, by
analyzing the effects of transformations on the graphs of functions, by classifying and performing
operations on linear, quadratic, power, and exponential functions, by analyzing nonfunctional
relations, and by applying trigonometric functions.
5.1
Defines/Analyzes Functional Relationships
The student will define and analyze functional relationships.
ALGII-044
5.1.1
Distinguishes Between Arithmetic/Geometric Sequence
The student will distinguish between an arithmetic and geometric sequence.
(Expected)
ALGII-045
5.1.2
Finds Terms in Arithmetic/Geometric Sequences
The student will find the missing term or the nth term in arithmetic or
geometric sequences. (Expected)
ALGII-046
5.1.3
Derives Formula/Finds Sum of Arithmetic Series
The student will derive the formula and find the sum of an arithmetic series.
(Expected)
ALGII-047
5.1.4
Derives Formula/Finds Sum of Geometric Series
The student will derive the formula and find the sum of a finite geometric
series or infinite geometric series. (Expected)
ALGII-048
5.1.5
Applies Binomial Theorem
The student will apply the binomial theorem. (Essential)
ALGII-049
5.1.6
Interprets Graphs/Ordered Pairs
The student will determine if a graph or ordered pair represents a function.
(Essential)
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Honors Algebra II/Trigonometry
Curriculum Outline
5.2
Applies Functions to Real World
The student will apply a variety of functions to model real-world phenomena.
ALGII-054
5.2.1
Draws Graph/Writes Situation
The student will draw a graph to represent a problem situation or write a
possible problem situation that a graph could represent. (Essential)
ALGII-055
5.2.2
Writes Function/Situation
The student will write a linear, quadratic, or exponential function to
represent a problem situation or will write a possible situation that a linear,
quadratic, or exponential function could represent. (Expected)
5.3
Understands Tabular/Symbolic/Graphic Representations
The student will demonstrate understanding of tabular, symbolic, and graphic
representations of functions.
ALGII-061
5.3.1
Creates Tables/Graphs/Ordered Pairs
The student will create tables, graphs, and ordered pairs from a function.
(Essential)
ALGII-062
5.3.2
Determines Domain/Range
The student will determine the domain and range of a function. (Expected)
ALGII-063
5.3.3
Identifies Function/Inverse
The student will identify a function and its inverse from ordered pairs,
equations, and graphs. (Expected)
ALGII-065
5.3.4
Graphs Complex Numbers
The student will graph complex numbers as points in the plane. (Expected)
5.4
Analyzes Effects of Parameter Changes
The student will analyze the effects of parameter changes on the graphs of functions.
ALGII-070
5.4.1
Recognizes Effect of Changing Slope/y-Intercept
The student will recognize the effect of changing the slope or y-intercept of
a linear equation. (Essential)
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Honors Algebra II/Trigonometry
Curriculum Outline
ALGII-071
5.4.2
Recognizes Changes - Horizontal/Vertical Shifts/Reflections
The student will recognize changes in a function resulting in horizontal or
vertical shifts or reflections about an axis. (Essential)
ALGII-072
5.4.3
Recognizes/Explains Effect of Changing Coefficient
The student will recognize and explain how the graph of a quadratic
equation changes as the coefficients in the equation change. (Expected)
5.5
Understands Classes of Functions
The student will demonstrate understanding of operations on, and the general
properties and behavior of, classes of functions.
ALGII-077
5.5.1
Performs Operations on Functions
The student will perform operations on functions (e.g., sum, product, and
composition of functions) and justify the steps used. (Essential)
ALGII-079
5.5.2
Describes Characteristics/Properties - Functions
The student will describe the characteristics and properties of classes of
functions. (Essential)
ALGII-056
5.5.3
Applies Exponential Functions to Real World
The student will use exponential functions to solve exponential growth and
decay problems. (Expected)
5.6
Applies General Properties of Functions
The student will apply the general properties of functions to linear rational functions.
MAAN-032
5.6.1
Identifies/Analyzes Characteristics of Functions
The student will identify and analyze zeros, maxima, minima, end
behaviors, and asymptotes of functions. (Expected)
MAAN-033
5.6.2
Identifies/Analyzes Properties of Functions
The student will identify and analyze symmetries, periodicities, and inverses
of functions. (Expected)
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Honors Algebra II/Trigonometry
Curriculum Outline
MAAN-037
5.6.3
Solves Optimization Problems
The student will solve optimization problems. (Expected)
5.7
Understands Graphic Representations
The student will demonstrate understanding of graphic representations of functions.
MAAN-047
5.7.1
Stretches/Shrinks Graph Horizontally or Vertically
The student will stretch or shrink a graph horizontally or vertically.
(Expected)
MAAN-048
5.7.2
Shifts/Translates Graph Horizontally or Vertically
The student will shift or translate a graph horizontally or vertically.
(Expected)
MAAN-049
5.7.3
Reflects Graph Horizontally or Vertically
The student will reflect a graph horizontally or vertically. (Essential)
MAAN-050
5.7.4
Graphs Transformations
The student will graph transformations (e.g., shifts, stretching/shrinking,
reflecting). (Expected)
MAAN-051
5.7.5
Graphs Complex Numbers
The student will graph complex numbers in a plane. (Expected)
5.8
Defines/Analyzes Rational Functions
The student will define and analyze functional relationships.
MAAN-057
5.8.1
Models Step Function
The student will model a step function of a problem situation. (Expected)
5.9
Applies General Properties of Logarithmic and Exponential Functions
The student will apply the general properties of logarithmic and exponential functions
to solve problems.
MAAN-065
5.9.1
Analyzes Exponential/Logarithmic Functions
The student will analyze exponential and logarithmic functions. (Essential)
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Honors Algebra II/Trigonometry
Curriculum Outline
MAAN-067
5.9.2
Models Exponential Function
The student will model an exponential function of a problem situation.
(Expected)
MAAN-068
5.9.3
Solves Interest Problems
The student will solve compound interest problems. (Expected)
MAAN-069
5.9.4
Solves Population Growth Problems
The student will solve population growth problems. (Expected)
MAAN-070
5.9.5
Solves Half-Life Problems
The student will solve half-life problems. (Expected)
5.10
Applies General Properties of Trigonometric Functions
The student will apply the general properties of trigonometric functions to solve
equations and problems, and to construct graphs.
MAAN-075
5.10.1
Models Trigonometric Functions
The student will identify problem situations modeled by trigonometric
functions. (Expected)
MAAN-076
5.10.2
Analyzes Trigonometric Functions
The student will analyze trigonometric functions. (Expected)
MAAN-078
5.10.3
Applies Law of Sines/Cosines
The student will apply the law of sines and the law of cosines to problems.
(Expected)
MAAN-079
5.10.4
Determines Trigonometric Function Values
The student will determine trigonometric function values and their
reciprocal functions. (Essential)
MAAN-080
5.10.5
Determines Inverse Trigonometric Function Values
The student will determine the values of inverse trigonometric functions.
(Essential)
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Honors Algebra II/Trigonometry
Curriculum Outline
MAAN-081
5.10.6
Finds Values From Unit Circle
The student will find trigonometric values for angles from the unit circle.
(Essential)
MAAN-082
5.10.7
Uses Basic Identities/Formulas
The student will use the basic identities and formulas of trigonometry to
transform expressions and to find trigonometric function values of angles.
(Essential)
MAAN-085
5.10.8
Solves Trigonometric Equations
The student will solve trigonometric equations. (Essential)
MAAN-086
5.10.9
Verifies Trigonometric Identities
The student will verify trigonometric identities. (Expected)
MAAN-087
5.10.10 Solves Trigonometric Word Problems
The student will solve word problems that require the use of trigonometric
equations, including determining the missing side or angle of a right
triangle. (Expected)
MAAN-088
5.10.11 Identifies Graph of Trigonometric Functions
The student will identify the graph of trigonometric functions and determine
their period, amplitude, and phase shift. (Expected)
MAAN-089
5.10.12 Graphs Trigonometric Functions
The student will graph trigonometric functions. (Expected)
MAAN-090
5.10.13 Identifies Graphs of Inverse Trigonometric Functions
The student will identify the graphs of inverse trigonometric functions and
apply inverse function notation. (Expected)
5.11
Solves Problems Involving Polar/Parametric Relations
The student will use trigonometric functions to solve problems involving polar and
parametric relations.
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Honors Algebra II/Trigonometry
Curriculum Outline
MAAN-106
5.11.1
Connects Trigonometry/Polar Coordinates/Complex Numbers
The student will make connections among trigonometric functions and polar
coordinates, complex numbers, and series. (Expected)
MAAN-107
5.11.2
Analyzes Parametric and Polar Relations
The student will analyze parametric and polar relations. (Expected)
MAAN-108
5.11.3
Analyzes Circular Functions
The student will analyze circular functions. (Expected)
6. Algebra - Algebraic Representation
The student will demonstrate an understanding of algebra by simplifying expressions containing
exponents and imaginary numbers, by solving and graphing inequalities, by evaluating, solving,
and graphing equations involving radicals, exponents, polynomials, and conic sections, by
solving systems of equations, and by applying the binomial theorem.
6.1
Understands Algebraic Representation
The student will demonstrate understanding of the use of variables and symbols in
algebraic expressions and equations.
ALGII-085
6.1.1
Translates English Phrase/Sentence
The student will translate an English phrase or sentence into an algebraic
expression or equation (linear, quadratic, or exponential) to solve a problem.
(Essential)
ALGII-086
6.1.2
Uses Mathematical Symbols
The student will use appropriate mathematical symbols. (Essential)
ALGII-088
6.1.3
Restates Equation in Alternate/Standard Form
The student will restate an equation in an alternate form or standard form.
(Essential)
6.2
Simplifies Expressions - Real/Complex Numbers
The student will simplify algebraic expressions containing real or complex numbers.
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Honors Algebra II/Trigonometry
Curriculum Outline
ALGII-096
6.2.1
Simplifies Imaginary/Complex Numbers
The student will simplify expressions involving imaginary or complex
numbers. (Expected)
ALGII-097
6.2.2
Simplifies Negative/Fractional Exponents
The student will simplify expressions containing negative or fractional
exponents. (Essential)
ALGII-098
6.2.3
Simplifies Radical Expressions
The student will simplify expressions containing radicals. (Essential)
6.3
Solves Equations
The student will solve equations.
ALGII-106
6.3.1
Solves Fractional/Radical Equations
The student will solve fractional and radical equations. (Essential)
ALGII-107
6.3.2
Solves Logarithmic/Exponential Equations
The student will solve logarithmic and exponential equations. (Expected)
ALGII-108
6.3.3
Solves Complex Number Equations
The student will solve equations containing complex numbers. (Expected)
ALGII-112
6.3.4
Solves Systems of Three Linear Equations
The student will solve systems of three linear equations with or without
matrices. (Essential)
6.4
Understands Inequalities
The student will demonstrate understanding of how to solve inequalities.
ALGII-117
6.4.1
Solves Absolute Value Inequalities
The student will solve absolute value inequalities. (Essential)
ALGII-118
6.4.2
Solves Compound Inequalities
The student will solve compound inequalities. (Essential)
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Honors Algebra II/Trigonometry
Curriculum Outline
ALGII-119
6.4.3
Solves Systems of Linear Inequalities
The student will solve systems of linear inequalities. (Essential)
6.5
Represents With Charts/Tables/Graphs
The student will represent expressions, equations, and inequalities with charts, tables,
and graphs.
ALGII-127
6.5.1
Graphs Equations/Determines Equations From Graph
The student will graph linear and absolute value equations and will
determine the equations from a graph. (Expected)
ALGII-128
6.5.2
Graphs Inequalities/Determines Inequality From Graph
The student will graph linear or absolute value inequalities and will
determine an inequality from a graph. (Expected)
ALGII-129
6.5.3
Identifies Graph of Logarithmic/Exponential Function
The student will identify the graph of a logarithmic or exponential function.
(Expected)
ALGII-148
6.5.4
Graphs Quadratic Equation
The student will graph a quadratic equation and determine the discriminant,
maximum point, minimum point, and zeros (or roots) of the equation.
(Essential)
6.6
Simplifies/Factors/Solves Polynomials
The student will simplify and factor polynomial expressions and solve polynomial
equations.
ALGII-135
6.6.1
Simplifies Polynomials
The student will simplify polynomial expressions by performing operations,
including advanced polynomial division. (Essential)
ALGII-136
6.6.2
Factors Polynomials
The student will factor polynomials, including perfect squares, perfect
square trinomials, and the sum and difference of two cubes. (Essential)
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Honors Algebra II/Trigonometry
Curriculum Outline
ALGII-137
6.6.3
Performs Operations on Polynomial Fractions
The student will use operations to simplify and evaluate rational expressions
with monomial and polynomial denominators. (Essential)
ALGII-138
6.6.4
Solves Polynomial Equations
The student will solve polynomial equations of degree two or greater.
(Essential)
6.7
Solves Quadratic Equations
The student will solve quadratic equations.
ALGII-143
6.7.1
Solves Quadratic Equations
The student will solve quadratic equations by factoring, completing the
square, or using the quadratic formula. (Essential)
ALGII-144
6.7.2
Identifies Sum and Product of Quadratics
The student will identify the sum and product of a quadratic equation.
(Essential)
ALGII-149
6.7.3
Solves/Graphs Quadratic Inequalities
The student will solve and graph quadratic inequalities. (Essential)
ALGII-145
6.7.4
Determines Equation From Graph
The student will determine the equation from a graph that is not a straight
line (parabola, circle, ellipse, hyperbola). (Expected)
ALGII-146
6.7.5
Identifies/Describes Conic Graphs/Equations
The student will identify and describe the graphs and equations of the conic
sections (circle, parabola, ellipse, hyperbola). (Expected)
ALGII-147
6.7.6
Determines Characteristics of Parabola
The student will determine the characteristics of a parabola (e.g., distance
between points, focus, directrix, vertex). (Expected)
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Honors Algebra II/Trigonometry
Curriculum Outline
ALGII-150
6.7.7
Solves Quadratic Equations - Complex Numbers
The student will solve quadratic equations in the complex number system.
(Expected)
6.8
Defines/Analyzes Exponential and Logarithmic Functions
The student will define and analyze the properties of exponential and logarithmic
functions.
CALC-020
6.8.1
Explains Definition of e
The student will explain how each statement in a list of definitions defines e.
(Expected)
CALC-021
6.8.2
Predicts Results Using the Number e
The student will use the number e in a formula to predict results at a time in
the future. (Expected)
7. Algebra - Data Representation
The student will use algebra to represent data with equations, tables, graphs, and matrices.
7.1
Applies Discrete Math
The student will apply discrete structures such as finite graphs, matrices, and
algorithms to the solution of mathematical problems.
ALGII-157
7.1.1
Uses Matrices to Represent Equations/Graphs
The student will use matrices to represent figures in algebraic equations or
graphs on the coordinate plane. (Expected)
ALGII-158
7.1.2
Performs Operations on Matrices
The student will perform operations on a set of matrices. (Essential)
ALGII-159
7.1.3
Uses Properties of 0 to Solve Matrices
The student will use the properties of 0 when solving matrices. (Essential)
ALGII-160
7.1.4
Evaluates Matrix Properties
The student will evaluate the properties of matrices. (Essential)
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Honors Algebra II/Trigonometry
Curriculum Outline
ALGII-161
7.1.5
Uses Cramer’s Rule to Solve Matrices
The student will solve matrices of equations using Cramer’s rule.
(Expected)
ALGII-164
7.1.6
Uses Matrices to Solve Word Problems
The student will use matrices to solve word problems. (Expected)
ALGII-165
7.1.7
Uses Algorithms to Solve Math Problems
The student will use a variety of algorithms to solve mathematical problems.
(Expected)
ALGII-166
7.1.8
Creates/Solves System of Inequalities Using Linear Programming
The student will create a system of inequalities from a problem and solve it
using linear programming. (Expected)
8. Statistics and Probability
The student will demonstrate an understanding of statistics by finding measures of central
tendency including standard deviation.
8.1
Organizes/Interprets Data
The student will organize and interpret mathematical data in several forms.
MAAN-142
8.1.1
Constructs and Interprets Charts/Tables/Plots/Graphs
The student will construct charts, tables, plots, and graphs from real-world
data and draw inferences from them. (Expected)
MAAN-143
8.1.2
Uses Curve Fitting
The student will use curve fitting to make predictions from real-world data.
(Expected)
8.2
Calculates Measures of Central Tendency/Variation
The student will calculate measures of central tendency and measures of variation.
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MAAN-149
8.2.1
Calculates Mean/Median/Mode
The student will calculate the mean, median, and mode from a set of realworld data. (Essential)
MAAN-150
8.2.2
Calculates Standard Deviation/Variance/Standard Value
The student will calculate standard deviation, variance, and standard value
from a set of real-world data. (Expected)
MAAN-152
8.2.3
Analyzes Distributions
The student will analyze data transformations with respect to normal,
skewed, and uniform distributions. (Extended)
8.3
Understands Prediction/Probability/Counting
The student will demonstrate understanding of the prediction, probability, and
counting of items based on data.
MAAN-159
8.3.1
Determines Sample Spaces/Probabilities
The student will determine sample spaces and probabilities of events.
(Expected)
MAAN-160
8.3.2
Identifies and Determines Independent/Dependent Probabilities
The student will identify and determine independent and dependent
probabilities. (Expected)
MAAN-161
8.3.3
Applies Binomial Probability Theorem
The student will apply the binomial probability theorem. (Expected)
MAAN-162
8.3.4
Solves Probability Problems
The student will solve probability problems with normal distribution, using
standard deviations. (Extended)
MAAN-163
8.3.5
Computes Combinations/Permutations
The student will compute combinations and permutations. (Essential)
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MAAN-164
8.3.6
Uses Combinatorics
The student will use combinatorics to solve enumerations and finite
probability problems. (Extended)
9. Reasoning and Problem Solving
The student will solve mathematical and financial management problems: formulating problems
from situations, developing and applying strategies (including algebraic, geometric, and
technological), verifying solutions, and applying strategies or solutions to new problems.
9.1
Develops/Applies Problem-Solving Strategies
The student will develop and apply strategies to solve a variety of problems.
ALGII-203
9.1.1
Analyzes Problem for Needed/Relevant Information
The student will analyze a problem to determine the relevance of given
information and to establish what additional information may be needed.
(Essential)
ALGII-209
9.1.2
Uses Tools in Problem Solving
The student will use calculators, computers, spreadsheets, and graphing
utilities in problem solving. (Essential)
9.2
Develops/Applies Problem-Solving Strategies
The student will develop and apply strategies to solve a variety of problems.
MAAN-195
9.2.1
Derives Formula to Solve Problem
The student will derive the quadratic formula from a general quadratic
equation or a similar formula from an alternate equation. (Essential)
10. Communication and Connections - Ideas
The student will communicate his or her understanding of mathematical ideas, using
mathematical language, symbols, technology, and models and illustrating the connections among
mathematical concepts.
Copyright © 1998 National Computer Systems, Inc. All rights reserved.
MCAD® is a registered trademark of NCS.
5/8/2017
Page 19
Version 5.0
Antelope Valley Union High School District
Honors Algebra II/Trigonometry
Curriculum Outline
10.1
Communicates Ideas/Reasoning
The student will communicate mathematical ideas and reasoning processes, using
appropriate mathematical language and symbols.
MAAN-206
10.1.1
Recognizes Advanced Mathematical Notation
The student will recognize advanced mathematical notation (e.g., sigma, the
summation symbol). (Expected)
MAAN-207
10.1.2
Uses Advanced Mathematical Symbolism
The student will use advanced mathematical symbolism (e.g., in applying
the binomial theorem, finding roots and powers of complex numbers).
(Expected)
MAAN-209
10.1.3
Uses Correct Notation - Domain/Range
The student will write the domain and range of a graph in several ways using
correct notation. (Expected)
10.2
Communicates Ideas/Reasoning
The student will communicate mathematical ideas and reasoning processes, using
appropriate mathematical language and symbols.
ALGII-214
10.2.1
Explains or Justifies Concept/Strategy/Solution
The student will explain or justify a mathematical concept, the strategy, or
the solution for a problem situation, relating everyday language to
mathematical terms and symbols. (Expected)
ALGII-215
10.2.2
Applies Terminology of Algebra
The student will apply the terminology of algebra (e.g., polynomials,
functions, conics, sets). (Expected)
10.3
Relates Mathematical Concepts to Representations
The student will relate mathematical concepts to mathematical representations.
ALGII-220
10.3.1
Identifies Problems Represented by Models
The student will identify problem situations that could be represented by
given mathematical models (e.g., number sentences, equations, graphs,
tables, diagrams). (Extended)
Copyright © 1998 National Computer Systems, Inc. All rights reserved.
MCAD® is a registered trademark of NCS.
5/8/2017
Page 20
Version 5.0
Antelope Valley Union High School District
Honors Algebra II/Trigonometry
Curriculum Outline
10.4
Responds to Math Presentations
The student will respond to written, visual, or oral presentations of mathematics.
ALGII-225
10.4.1
Asks Clarifying/Extending Questions
The student will ask clarifying and extending questions related to
mathematics presentations. (Expected)
10.5
Demonstrates Connections Between Math/Other Disciplines
The student will demonstrate the connections between mathematics and other
disciplines.
ALGII-230
10.5.1
Applies Math to Other Disciplines
The student will apply mathematical concepts to solving problems in other
disciplines (e.g., physics, chemistry, biology). (Expected)
ALGII-232
10.5.2
Identifies Historical Relevance
The student will identify historical relevance of important mathematical
accomplishments. (Extended)
11. Communication and Connections - Materials
The student will demonstrate the ability to read, understand, and interpret mathematically
oriented material, including business and financial forms.
11.1
Demonstrates Connections Among Strands
The student will display his or her achievement in understanding the connections
among mathematical strands through investigations, performance tasks, writing, openended questions, portfolios, and other active assessments.
ALGII-238
11.1.1
Applies Mathematical Strands to Solve Problems
The student will apply algebra, geometry, and other mathematical strands
together in order to solve real-world problems, using mathematical language
and representation. (Expected)
Copyright © 1998 National Computer Systems, Inc. All rights reserved.
MCAD® is a registered trademark of NCS.
5/8/2017