Course Description
Open to: Grade 10, One Year Course
Prerequisite: C or better in Accelerated Geometry, or Instructor/Counselor
approval
Content: Students will study concepts of algebra, geometry, logic, and statistics
as they are extended and integrated with circular, exponential and logarithmic
functions.
Adopted Materials
Title: Algebra and Trigonometry: Structure and Method
Book 2
Edition: 2000
Publisher: McDougal Littell
ISBN: 0-395-97725-8
Mathematics Curriculum
Map
Course overview, activities, vocabulary, supplemental materials in pdf format.
Copyright
Resources
Course Scope for Semester 1
Unit 1
|
Basic Concepts of Algebra
|
1 Week
|
Unit 2
|
Inequalities and Proofs
|
1 Week
|
Unit 3
|
Linear Equations and Functions
|
3 Weeks
|
Unit 4
|
Products & Factors of Polynomials
|
2.5 Weeks
|
Unit
5
|
Rational Expressions
|
2 Weeks
|
Unit 6
|
Irrational and Complex Numbers
|
3 Weeks
|
Unit 7
|
Quadratic Equations & Functions
|
3 Weeks
|
Course Scope for Semester 2
Unit 8
|
Variations & Polynomial Equations
|
2 Weeks
|
Unit 9
|
Analytic Geometry
|
2.5 Weeks
|
Unit 10
|
Exponential and Logarithmic Functions
|
3 Weeks
|
Unit 11
|
Triangle Trigonometry
|
3.5 Weeks
|
Unit 12
|
Trigonometric Graphs
|
1 Week
|
Unit 13
|
Statistics
|
1 Week
|
Unit 14
|
Matrices and Determinants
|
3.5 Weeks
|
Assessment
Correlation acronyms key
Mathematics Curriculum Matrix K-12 pdf or Word
document
|
Unit
1 |
Basic Concepts of Algebra |
Semester 1, 1 week |
|
Instructional Objective
0816.01 Understand properties of the real
number system. |
Standard Reference
AII.1.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Explain the similarities and differences in
the subsystems of real numbers. |
Text: Chapter 1 Section 2 |
|
|
Instructional Objective
0816.02 Use the proper order of operations.
Perform operations with real numbers. |
Standard Reference
AII.1.1.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use the order of operations to simplify numerical
expressions. |
Text: Chapter 1 Section 3 through 6 |
EOC |
|
Instructional Objective
0816.03 Understand and use variables, expressions,
equations, and inequalities. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Translate an English phrase or sentence into
an algebraic expression or equation and vice
versa. |
Text: Chapter 1 Section 8 |
|
|
02 |
Evaluate an algebraic expression using rational
numbers. |
Text: Chapter 1 Section 2 |
EOC |
|
Instructional Objective
0816.04 Use appropriate procedures to simplify
and solve polynomial equations and inequalities. |
Standard Reference
AII.3.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve equations in one variable. |
Text: Chapter 1 Sections 2through 7 and 9 |
EOC |
|
Back to Top |
|
Unit
2 |
Inequalities and Proofs |
Semester 1, 1 week |
|
Instructional Objective
0816.05 Understand and use appropriate procedures
to solve linear equations and inequalities. |
Standard Reference
AII.3.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use equations with one variable to solve word
problems. |
Text: Chapter 1 Section 8 and 9 |
|
|
02 |
Solve compound and absolute value inequalities
and equations. |
Text: Chapter 2, Section 2 and 4 |
EOC |
|
03 |
Solve equations and inequalities with one variable
and recognize the solutions when graphed or when
written in set notation. |
Text: Chapter 2, Section 1 |
|
|
04 |
Solve inequalities with one variable in word
problems |
Text: Chapter 2, Section 1 and 3 |
|
|
05 |
Recognize an inequality one a number line. |
Text: Chapter 2, Section 1 and 3 |
|
|
06 |
Solve absolute value equations. |
Text: Chapter 2, Section 4 |
EOC |
|
07 |
Solve compound inequalities and equations. |
Text: Chapter 2, Section 2 |
EOC |
|
08 |
Solve compound and absolute value inequalities
and equations. |
Text: Chapter 2, Section 4 and 5 |
EOC |
|
Instructional Objective
0816.06 Use the proper order of operations.
Perform operations with real numbers. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Simplify numerical expressions using absolute
value. |
Text: Chapter 2 Section 4 |
|
|
Instructional Objective
0816.07 Use a variety of methods, including
common mathematical formulas, to solve problems
drawn from daily life. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Recognize and use an inequality in a problem
situation. |
Text: Chapter 2 Section 3 |
EOC |
|
02 |
Apply algebra, geometry, and other mathematical
strands together in order to solve real world
problems using mathematical language and representation. |
Text: Chapter 2 Sections 3 |
EOC |
|
Instructional Objective
0816.08 Use appropriate vocabulary to communicate
mathematical information. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use axioms, definitions, and theorems to prove
properties of real numbers. |
Text: Chapter 2 Section 6 |
TMA |
|
02 |
Use axioms, definitions, and theorems to prove
properties of inequalities and absolute values. |
Text: Chapter 2 Sections 7 |
TMA |
|
Instructional Objective
0816.09 Represent a set of data in a table,
a graph, and as a mathematical relationship. |
Standard Reference
AII.3.1.1, AII.3.1.2.c, AII.3.2.2.a, AII.3.4.1.b
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Graph linear and absolute value equations and
determine the equations from a graph. |
Text: Chapter 2 Section 1 and 5 |
EOC |
|
02 |
Identify the graph of a linear or absolute value
equation. |
Text: Chapter 2 Sections 2 |
EOC |
|
03 |
Graph linear or absolute value inequalities
and determine an inequality from a graph. |
Text: Chapter 2, Section 5 |
|
|
Back to Top |
|
Unit
3 |
Linear Equations and
Functions |
Semester 1, 3 weeks |
|
Instructional Objective
0816.10 Understand concepts of the Cartesian
Coordinate System. |
Standard Reference
AII.3.2.1, AII.3.4.1.b |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Graph horizontal and vertical lines, given the
equation. |
Text: Chapter 3 Section 2 |
TMAEOC |
|
02 |
Find the x and y intercepts of a linear equation. |
Text: Chapter 3 Section 2 |
TMAEOC |
|
03 |
Determine the slope of a line using the slope
formula, the equation of the line, or the graph
of an equation. |
Text: Chapter 3 Section 2 and 3 |
EOC |
|
04 |
Graph a linear equation with two variables. |
Text: Chapter 3 Section 2 and 3 |
EOC |
|
05 |
Determine the linear equation of a line using
the slope, y-intercept, or coordinates and will
compare the slopes of parallel and perpendicular
lines. |
Text: Chapter 3 Section 4 and 5 |
EOC |
|
06 |
Graph an inequality of more than one variable. |
Text: Chapter 3 Section 7 |
EOC |
|
07 |
Identify inequalities by observing their graph. |
Text: Chapter 3 Section 7 |
|
|
Instructional Objective
0816.11 Understand units and their relationship
to one another and to real world applications. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use measurement in word problems. |
Text: Chapter 3 Sections 6 and 9 |
|
|
Instructional Objective
0816.12 Understand and use appropriate procedures
to solve linear equations and inequalities. |
Standard Reference
AII.3.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Write solutions in set notation. |
Text: Chapter 3 Section 10 |
TMA, EOC |
|
Instructional Objective
0816.13 Represent a set of data in a table,
a graph, and as a mathematical relationship. |
Standard Reference
AII.3.1.1, AII.3.1.1.a, AII.3.4.1.d |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Graph absolute value functions. |
Text: Chapter 3 Section 7 |
TMA, EOC |
|
02 |
Identify the graph of an solute value function
and explain the effect of a transformation on
a graph. |
Text: Chapter 3 Section 10 |
|
|
03 |
Use calculators, computers, and graphing utilities
in problem solving. |
Text: Chapter 3, Section 7 |
|
|
Instructional Objective
0816.14 Understand and use appropriate procedures
to solve simple linear systems of equations
and inequalities. |
Standard Reference
AII.3.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Graph a system of linear equations involving
two variables. |
Text: Chapter 3 Section 5 |
EOC |
|
02 |
Solve systems of linear equations with two variables. |
Text: Chapter 3 Section 5 |
EOC |
|
03 |
Find the solution for a set of linear equations
and determine if the equations are consistent/inconsistent
or dependent/independent. |
Text: Chapter 3 Section 5 |
|
|
04 |
Use a graphing utility to solve systems of linear
equations by graphing. |
Text: Chapter 3 Section 1a |
TMA |
|
05 |
Solve systems of linear inequalities. |
Text: Chapter 3 Section 5 |
EOC |
|
Instructional Objective
0816.15 Use a variety of methods, including
common mathematical formulas, to solve problems
drawn from daily life. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Create a system of inequalities from a problem
and solve it using linear programming. |
Text: Chapter 3 Extension, page 159 |
|
|
02 |
Apply algebra, geometry, and other mathematical
strands together in order to solve real world
problems using mathematical language and representation. |
Text: Chapter 3 Section 6 |
EOC |
|
Instructional Objective
0816.16 Use appropriate technology to employ
simulation techniques, curve fitting, correlation,
and graphical models to make predictions or
decisions based on data. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use calculators, computers, and graphing utilities
in problem solving. |
Text: Chapter 3, Sections 8 through 10 |
|
|
Instructional Objective
0816.17 Model real-world phenomena using polynomial,
rational, and basic exponential functions,
noting restricted domains. |
Standard Reference
AII.3.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Determine the domain and range of a function. |
Text: Chapter 3 Sections 10 |
|
|
02 |
Determine if a graph, a set or ordered pairs,
a table, or a mapping represents a function. |
Text: Chapter 3 Sections 10 |
|
|
03 |
Find the domain and range of a function given
its graph. |
Text: Chapter 3 Sections 10 |
|
|
04 |
Find the domain and range of a function given
the function rule. |
Text: Chapter 3 Sections 10 |
|
|
05 |
Find the range of a function given its domain. |
Text: Chapter 3 Sections 10 |
|
|
Back to Top |
|
Unit
4 |
Products & Factors
of Polynomials |
Semester 1, 2 ½ weeks |
|
Instructional Objective
0816.18 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AII.1.3.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Simplify polynomial expressions by performing
operations, including advanced mononomial division |
Text: Chapter 4 Sections 1 through 4 |
|
|
Instructional Objective
0816.19 Use appropriate procedures to simplify
and solve polynomial equations and inequalities. |
Standard Reference
AII.3.2.2.f |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Factor simple polynomials. |
Text: Chapter 4 Section 5 |
EOC |
|
02 |
Factor various trinomials. |
Text: Chapter 4 Section 5 |
TMAEOC |
|
03 |
Factor polynomials, including perfect squares,
perfect square trinomials and the sum and difference
of two cubes. |
Text: Chapter 4, Section 5 and 6 |
EOC |
|
04 |
Factor by grouping. |
Text: Chapter 4 Section 5 |
TMA |
|
05 |
Solve problems using polynomial equations and
inequalities. |
Text: Chapter 4 Section 7 through 9 |
EOC |
|
Instructional Objective
0816.20 Understand properties of roots, exponents
and logarithms. |
Standard Reference
AII.1.1.4,AII.1.3.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Evaluate an expression using exponents. |
Text: Chapter 4, Section 2 |
|
|
Instructional Objective
0816.21 Use appropriate procedures to simplify
and solve polynomial equations and inequalities. |
Standard Reference
AII.3.2.2, AII.3.1.1.b |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve and graph quadratic inequalities. |
Text: Chapter 4 Section 9 |
|
|
02 |
Graph solutions to a quadratic inequality on
a number line. |
Text: Chapter 4, Section 9 |
|
|
Back to Top |
|
Unit
5 |
Rational Expressions |
Semester 1, 2 weeks |
|
Instructional Objective
0816.22 Understand and use positive and negative
numbers, fractions, decimals, percentages,
and scientific notation. |
Standard Reference
AII.1.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Convert numbers from scientific notation (including
those with negative exponents) to the standard
form and vice versa. |
Text: Chapter 5 Section 3 |
|
|
02 |
Perform operations on numbers written in scientific
notation. |
Text: Chapter 5 Section 3 |
|
|
Instructional Objective
0816.23 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Perform operations on numerical expressions
containing integral and fractional exponents. |
Text: Chapter 5 Sections 1 through 3 |
EOC |
|
Instructional Objective
0816.24 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AII.1.3.1, AII.1.3.1.d.e |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Simplify radical expressions containing variables. |
Text: Chapter 5 Section 4 |
EOC |
|
02 |
Reduce fractions with positive and negative
exponents in the denominator. |
Text: Chapter 5 Section 2 |
EOC |
|
03 |
Perform operations on numbers containing integral
and fractional exponents. |
Text: Chapter 5 Sections 3, 4, 8 and 9 |
EOC |
|
04 |
Simplify expressions containing negative or
fractional exponents. |
Text: Chapter 5 Sections 2 and 8 |
EOC |
|
Instructional Objective
0816.25 Represent a set of data in a table,
a graph, and as a mathematical relationship. |
Standard Reference
AII.3.1.2,AII.3.1.1, AII.3.4.1.b |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
With or without a graphing calculator, graph
rational functions and identify the vertical
and horizontal asymptotes. |
Text: Chapter 5 Section 4 |
EOC |
|
Instructional Objective
0816.26 Understand and use proportions, ratios,
and scaling. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve fractional equations. |
Text: Chapter 5 Section 9 |
EOC |
|
Instructional Objective
0816.27 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AII.3.2.2, AII.1.3.2.d |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use operations to simplify and evaluate rational
expressions with monomial and polynomial denominators. |
Text: Chapter 5 Section 4 through 6 |
EOC |
|
02 |
Simplify complex fractions that contain rational
expressions in numerator and/or denominator. |
Text: Chapter 5, Section 7 |
TMA, EOC |
|
Instructional Objective
0816.28 Use appropriate procedures to simplify
and solve polynomial equations and inequalities. |
Standard Reference
AII.3.2.2.c |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve rational equations. |
Text: Chapter 5 Section 8 and 9 |
TMA, EOC |
|
Back to Top |
|
Unit
6 |
Irrational and Complex
Numbers |
Semester 1, 3 weeks |
|
Instructional Objective
0816.29 Understand properties of roots, exponents,
and logarithms |
Standard Reference
AII.1.3.1.b |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Perform operations on number sentences containing
radicals. |
Text: Chapter 6 Section 1 and 2 |
EOC |
|
Instructional Objective
0816.30 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AII.1.1.1.a.b.c, AII.1.3.1.b.c, AII.1.3.2.e |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Perform operations with expressions containing
radicals. |
Text: Chapter 6, Sections 3 and 4 |
EOC |
|
02 |
Simplify expressions involving imaginary or
complex numbers, including radical expressions
involving negative radicands. |
Text: Chapter 6, Sections 6 through 8 |
EOC |
|
03 |
Add, subtract, multiply, and divide complex
numbers. |
Text: Chapter 6, Sections 7 and 8 |
EOC |
|
Instructional Objective
0816.31 Use appropriate procedures to simplify
and solve polynomial equations and inequalities. |
Standard Reference
AII.3.2.2.b, AII.3.4.1.b |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve radical equations. |
Text: Chapter 6 Section 5 |
EOC |
|
02 |
Solve fractional and radical equations. |
Text: Chapter 6 Section 5 and 7 |
EOC |
|
Back to Top |
|
Unit
7 |
Quadratic Equations & Functions |
Semester 1, 3 weeks |
|
Instructional Objective
0816.32 Use appropriate procedures to simplify
and solve polynomial equations and inequalities. |
Standard Reference
AII.3.2.2,AII.4.2.1, AII.1.1.2.a, AII.3.1.1.b.c,
AII.3.1.2.a.b, AII.3.2.2.f |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Graph quadratic equations. |
Text: Chapter 7 Section 5 2 |
EOC |
|
02 |
Graph a quadratic equation, determine the maximum
or minimum point, and find the zeros with or
without a graphing utility. |
Text: Chapter 7 Section 5 and 6 |
EOC |
|
03 |
Solve quadratic equations by factoring, completing
the square, or using the quadratic formula. |
Text: Chapter 7 Sections 1 and 2 |
EOC |
|
04 |
Use the discriminant to determine the roots
of a quadratic. |
Text: Chapter 7 Section 3 |
EOC |
|
05 |
Solve quadratic equations when solutions are
complex. |
Text: Chapter 7 Sections 4 |
TMA, EOC |
|
06 |
Determine a quadratic equation or its coordinates
from a graph. |
Text: Chapter 7 Sections 5 |
|
|
07 |
Solve word problems using quadratic equations. |
Text: Chapter 7 Sections 7 |
|
|
08 |
Use quadratic methods to solve non-quadratic
equations. |
Text: Chapter 7 Section 7 |
EOC |
|
Instructional Objective
0816.33 Use appropriate technology to employ
simulation techniques, curve fitting, correlation,
and graphical models to make predictions or
decisions based on data. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use calculators, computers, and graphing utilities
in problem solving. |
Text: Chapter 7 Sections 5 and 6 |
|
|
Instructional Objective
0816.34 Represent a set of data in a table,
a graph, and as a mathematical relationship. |
Standard Reference
AII.3.4.1.a.b |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Recognize and explain how the graph of a quadratic
equation changes as the coefficients in the equation
change. |
Text: Chapter 7 Section 5 |
|
|
02 |
Restate an equation in an alternate form or
standard form. |
Text: Chapter 7 Section 4 |
EOC |
|
Instructional Objective
0816.35 Model real-world phenomena using polynomial,
rational, and basic exponential functions,
noting restricted domains. |
Standard Reference
AII.3.2.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Determine a quadratic equation or its coordinates
from a graph. |
Text: Chapter 7 Sections 5 |
|
|
Back to Top |
|
Unit
8 |
Variations & Polynomil
Equations |
Semester 2, 2 weeks |
|
Instructional Objective
0816.36 Understand and use proportions, ratios,
and scaling. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve direct, inverse, and joint variation problems. |
Text: Chapter 8 Section 1 and 2 |
TMA, EOC |
|
Instructional Objective
0816.37 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AII.1.3.2, AII.1.3.2.c, AII.3.1.2.d |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Perform long division on polynomials to determine
remainders, roots, and factors. |
Text: Chapter 8 Section 3 |
TMA |
|
02 |
Perform synthetic division on polynomials to
determine remainders, roots, and factors. |
Text: Chapter 8 Sections 4 |
TMA, EOC |
|
Instructional Objective
0816.38 Use appropriate procedures to simplify
and solve polynomial equations and inequalities. |
Standard Reference
AII.3.1.2.e.f, AII.3.2.2.g, AII.3.4.1.b |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find remaining factors of a polynomial when
given one of the factors. |
Text: Chapter 8 Section 5 |
TMA, EOC |
|
02 |
Use Descarte’s Rule of Signs to determine the
possible combinations of root types. |
Text: Chapter 8 Sections 6 |
TMA |
|
03 |
Solve polynomial equations of degree two or
greater. |
Text: Chapter 6 Section 7 |
EOC |
|
04 |
Use a graphing calculator to find polynomial
roots. |
Text: Chapter 8, Section 8 |
TMA |
|
Instructional Objective
0816.39 Model real-world phenomena using polynomial,
rational, and basic exponential functions,
noting restricted domains. |
Standard Reference
AII.1.1.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Determine the equation of a polynomial, given
its roots. |
Text: Chapter 8 Section 5 |
TMA, EOC |
|
02 |
Describe the characteristics and properties
of classes of functions. |
Text: Chapter 8 Sections 8 |
|
|
Back to Top |
|
Unit
9 |
Analytic Geometry |
Semester 2, 2½ weeks |
|
Instructional Objective
0816.40 Understand concepts of the Cartesian
Coordinate System. |
Standard Reference
AII.3.1.1.e, AII.3.2.1.a, AII.4.2.1.a |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use the distance formula to find the distance
between two points. |
Text: Chapter 9 Section 1 |
|
|
02 |
Find the midpoint of a segment, given its endpoints. |
Text: Chapter 9, Section 1 |
|
|
03 |
Write the equation of a circle, parabola, ellipse,
or hyperbola in standard form. |
Text: Chapter 9 Section 2 through 6 |
TMA, EOC |
|
04 |
Identify and describe the graphs and equations
of circles, parabolas, ellipses, and hyperbolas. |
Text: Chapter 9, Sections 2 through 6 |
|
|
05 |
Determine the equation of a parabola, circle,
ellipse, or hyperbola, given the graph. |
Text: Chapter 9, Sections 2 through 6 |
|
|
06 |
Convert equations to standard form, if necessary,
and then determine the characteristics of a circle
(e.g. center and radius). |
Text: Chapter 9, Sections 2 and 6 |
TMA, EOC |
|
07 |
Convert equations to standard form, if necessary,
and then determine the characteristics of a parabola
(e.g. focus, directrix, vertex, axis of symmetry,
and direction of opening). |
Text: Chapter 9, Sections 3 and 6 |
EOC |
|
08 |
Convert equations to standard form, if necessary,
and then determine the characteristics of an
ellipse (e.g. center, foci, length of major and
minor axes, and vertices). |
Text: Chapter 9, Sections 4 and 6 |
TMA |
|
09 |
Convert equations to standard form, if necessary,
and then determine the characteristics of a hyperbola
(e.g. center, foci, and equation of asymptotes). |
Text: Chapter 9, Sections 5 and 6 |
TMA |
|
Instructional Objective
0816.41 Represent a set of data in a table,
a graph, and as a mathematical relationship. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Restate an equation in an alternate form or
standard form. |
Text: Chapter 9 Section 2 through 6 |
EOC |
|
Instructional Objective
0816.42 Use appropriate technology to employ
simulation techniques, curve fitting, correlation,
and graphical models to make predictions or
decisions based on data. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use graphs to determine the estimates for and
the number of real solutions of quadratic systems. |
Text: Chapter 9, Sections 7 and 8 |
|
|
Back to Top |
|
Unit
10 |
Exponential and Logarithmic
Functions |
Semester 2, 3 weeks |
|
Instructional Objective
0816.43 Represent a set of data in a table,
a graph, and as a mathematical relationship. |
Standard Reference
AII.1.1.4,AII.1.3.1, AII.1.1.4.a.b, AII.1.3.1.a.f |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Create tables, graphs, and ordered pairs from
a function. |
Text: Chapter 10, Section 3 |
|
|
Instructional Objective
0816.44 Understand and use proportions, ratios,
and scaling. Model real-world phenomena using
polynomial, rational, and basic exponential
functions, noting restricted domains. |
Standard Reference
AII.1.3.2.b |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Perform operations on functions (e.g. sum, product,
and composition of functions) and justify the
steps used. |
Text: Chapter 10, Section 3 |
EOC |
|
02 |
Identify a function and its inverse from ordered
pairs, equations, and graphs. |
Text: Chapter 10, Section 3 |
EOC |
|
03 |
Perform compositions of two or more functions,
and then evaluate them for either numerical or
variable values. |
Text: Chapter 10, Section 3 |
TMA,EOC |
|
04 |
Define and use natural logarithms. |
Text: Chapter 10, Section 8 |
TMA |
|
05 |
Use exponential functions to solve exponential
growth and decay problems. |
Text: Chapter 10, Section 7 |
EOC |
|
Instructional Objective
0816.45 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AII.3.1.1.d, AII.1.1.4.a |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Convert fractional exponents into radical notation. |
Text: Chapter 10, Section 1 |
TMA |
|
02 |
Simplify and solve equations involving irrational
exponents. |
Text: Chapter 10, Section 2 |
TMA |
|
03 |
Convert a logarithmic equation to an exponential
equation and vice versa. |
Text: Chapter 10, Section 4 |
EOC |
|
04 |
Use the properties of logarithms to simplify
logarithmic expressions. |
Text: Chapter 10, Section 5 |
EOC |
|
05 |
Use logarithms and antilogarithms to convert
an expression to an equivalent expression. |
Text: Chapter 10, Section 6 |
EOC |
|
Instructional Objective
0816.46 Use appropriate procedures to simplify
and solve polynomial equations and inequalities. |
Standard Reference
AII.3.2.2.d.e |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve logarithmic and exponential equations. |
Text: Chapter 10, Sections 5 and 6 |
EOC |
|
02 |
Solve equations involving variables inside logarithms
or as exponents. |
Text: Chapter 10, Section 6 |
TMA, EOC |
|
Back to Top |
|
Unit
11 |
Triangle Trigonometry |
Semester 2, 3½ weeks |
|
Instructional Objective
0816.47 Know and apply the Pythagorean Theorem
to solve real world problems. |
Standard Reference
AII.4.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use the Pythagorean Theorem to solve problems
involving triangles. |
Text: Chapter 9, Section 1 and Chapter 12, Section
2 |
EOC |
|
Instructional Objective
0816.48 Understand the basic concepts of right
triangle trigonometry (basic trigonometry ratios
such as sine, cosine, and tangent). |
Standard Reference
AII.4.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use right triangle trigonometry. |
Text: Chapter 12 Section 2 and 5 |
EOC |
|
02 |
Use the definitions of trigonometric functions
to find the sine, cosine, tangent, cotangent,
secant, and cosecant of an angle. |
Text: Chapter 12 Section 2 through 4 |
EOC |
|
Instructional Objective
0816.49 Use trigonometric ratio methods to
solve problems. |
Standard Reference
AII.4.1.1.a |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find coterminal angle measurements for a specified
angle. |
Chapter 12, Section 1 |
TMA |
|
02 |
Solve word problems involving the missing sides
and angles of right triangles using trigonometric
ratios. |
Text: Chapter 12, Section 5 |
|
|
03 |
Solve non-right triangles using the Law of Sines
or the Law of Cosines. |
Text: Chapter 12, Sections 6 through 8 |
TMA,EOC |
|
04 |
Find values of expressions involving inverse
trigonometric functions. |
Text: Chapter 14, Section 6 |
TMA, EOC |
|
Back to Top |
|
Unit
12 |
Trigonometric Graphs |
Semester 2, 1 week |
|
Instructional Objective
0816.50 Understand equivalent units, comparable
units, and conversions. |
Standard Reference
AII.2.1.1.a |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Perform conversions between radians and degrees. |
Text: Chapter 13, Section 1 |
TMA,EOC |
|
Instructional Objective
R0817.51 Represent a set of data in a table,
a graph, and as a mathematical relationship. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Graph the six basic trigonometric functions
and identify the period, amplitude, and asymptotes
when applicable. |
Text: Chapter 13, Sections 3 through 5 |
TMA |
|
02 |
Recognize changes in a function resulting in
horizontal or vertical shifts or reflections
about an axis. |
Text: Chapter 13, Sections 3 through 5 |
TMA |
|
Instructional Objective
0816.52 Use trigonometric ratio methods to
solve problems. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use the unit circle to find exact trigonometric
values of general angles. |
Text: Chapter 13, Section 2 |
TMA,EOC |
|
02 |
Apply special triangle relationships to solve
problems involving triangles. |
Text: Chapter 13, Section 2 |
EOC |
|
Instructional Objective
0816.53 Understand basic statistical concepts
including mean (average), median, mode, range,
and standard deviation. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Calculate the mean, median, mode and range of
a set of data. |
Text: Chapter 15, Section 1 |
EOC |
|
02 |
Find the standard deviation. |
Text: Chapter 15, Section 2 |
TMA |
|
03 |
Solve problems involving normally distributed
data. |
Text: Chapter 15, Section 3 |
TMA |
|
Instructional Objective
0816.54 Collect and organize data, and display
the data in tables, charts, and graphs (scatter
diagrams, frequency tables, bar graphs, or
pie charts). |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Construct or interpret graphs, charts, and other
forms of organized data. |
Text: Chapter 15, Sections 1 through 3 |
|
|
02 |
Create scatter plots. |
Text: Chapter 15, Section 4 |
TMA |
|
03 |
Choose or construct the appropriate graph (line
graph, box and whisker plot, histogram, bar graph)
to display data. |
Text: Chapter 15, Sections 1 through 4 |
|
|
04 |
Perform statistical analysis on data, given
a stem-and-leaf plot or box-and-whisker plot. |
Text: Chapter 15, Sections 1 and 2 |
TMA,EOC |
|
Instructional Objective
0816.55 Read and interpret tables, charts,
and graphs (scatter plots, line graphs, three-dimensional
graphs, and pie charts). |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
With or without a calculator, choose the equation
that best represents the line of regression when
applied to a statistical model represented by
a scatter plot. |
Text: Chapter 15, Section 4 |
|
|
Instructional Objective
0816.56 Use appropriate technology to employ
simulation techniques, curve fitting, correlation,
and graphical models to make predictions or
decisions based on data. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use calculators, computers, and graphing utilities
in problem solving. |
Text: Chapter 15, Section 4 |
|
|
Instructional Objective
0816.57 Represent a set of data in a table,
a graph, and as a mathematical relationship. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Draw a graph to represent a problem situation
or write a possible problem situation that a
graph could represent. |
Text: Chapter 15, Section 1 through 4 |
|
|
Back to Top |
|
Unit
14 |
Matrices and Determinants |
Semester 2, 3½ weeks |
|
Instructional Objective
0816.58 Understand and use appropriate procedures
to solve simple linear systems of equations
and inequalities. |
Standard Reference
AII.1.2.1.a,AII.1.1.3.a |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve systems of three linear equations with
or without matrices. |
Text: Chapter 16, page 785 |
|
|
Instructional Objective
0816.59 Use graphs, matrices, and sequences
to represent and solve problems. |
Standard Reference
AII.1.3.2.a |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve matrix equations for variable elements
by setting corresponding elements equal to each
other. |
Text: Chapter 16, Section1 |
TMA,EOC |
|
02 |
Use addition and subtraction of matrices to
do transformations of geometric figures. |
Text: Chapter 16, Section 2 |
|
|
03 |
Perform operations (e.g. addition, subtraction,
scalar multiplication, multiplication, determinants,
and inverses) on a set of matrices, with or without
a graphing calculator. |
Text: Chapter 16, Sections 2 through 9 |
EOC |
|
04 |
Use matrices to represent figures in algebraic
equations or graphs on the coordinate plane. |
Text: Chapter 16, Section 4 |
|
|
05 |
Identify and calculate inverse matrices. |
Text: Chapter 16, Sections 5 and 6 |
EOC |
|
06 |
Use the properties of zero when solving matrices. |
Text: Chapter 16, Section 6 |
EOC |
|
07 |
Use matrices to solve word problems. |
Text: Chapter 16, Section 4 |
|
Back to Top
|
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