Course Description
Open to: Grades 11, 12 One Year Course
Prerequisite: C or better in Geometry, or Pass Intermediate Geometry; Instructor/Counselor
approval
Content: Students will study concepts of algebra, geometry, logic, and statistics
as they are extended and integrated with circular, exponential, logarithmic,
and trigonometric functions.
Adopted Materials
Title: Algebra 2
Edition: 2008
Publisher Glencoe Mc Graw- Hill
ISBN: 0-07-873830-2
Mathematics Curriculum
Map
Course overview, activities, vocabulary, supplemental materials in pdf format.
Copyright
Resources
Course Scope for Semester 1
Unit 1
|
Basic Algebra Review
|
2 Weeks
|
Unit 2
|
Linear Equations and Inequalities
|
2 Weeks
|
Unit 3
|
Systems of Equations and Inequalities
|
2½ Weeks
|
Unit 4
|
Matrices
|
2 Weeks
|
Unit
5
|
Factoring and Operations
with Polynomials
|
4 Weeks
|
Unit 6
|
Quadratic Equations and Inequalities
|
3 Weeks
|
Unit 7
|
Polynomials Equations and Functions
|
4 Weeks
|
Course Scope for Semester 2
Unit 8
|
Powers, Roots and Radicals
|
3 Weeks
|
Unit 9
|
Conics
|
2½ Weeks
|
Unit 10
|
Functions
|
4 Weeks
|
Unit 11
|
Rational Expressions, Functions,
and Equations
|
3 Weeks
|
Unit 12
|
Exponential and Logarithmic Equations
and Functions
|
3 Weeks
|
Unit 13
|
Trigonometry
|
4 Weeks
|
Assessment
Correlation acronyms key
Mathematics Curriculum Matrix K-12 pdf or Word
document
|
Unit
1 |
Basic Algebra Review |
Semester 1, 2 weeks |
|
Instructional Objective
0817.01 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
0817.02 Use the proper order of operations.
Perform operations with real numbers. |
Standard Reference
AII.1.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use the order of operations to simplify numerical
expressions. |
Text: Chapter 1 Section 1 |
EOC |
|
02 |
Simplify numerical expressions using absolute
value. |
Text: Chapter 1 Section 4 |
EOC |
|
Instructional Objective
0817.03 Understand and use variables, expressions,
equations, and inequalities. |
Standard Reference
AII.1.1.1 |
|
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 3 |
|
|
02 |
Evaluate an algebraic expression using rational
numbers. |
Text: Chapter 1 Section 1 |
EOC |
|
Instructional Objective
0817.04 Understand and use appropriate procedures
to solve linear equations and inequalities. |
Standard Reference
AII.3.2.2 A |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve compound and absolute value inequalities
and equations. |
Text: Chapter 1 Sections 6 |
EOC |
|
Back to Top |
|
Unit
2 |
Linear Equations and
Inequalities |
Semester 1, 2 weeks |
|
Instructional Objective
0817.05 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 of more than one variable. |
Text: Chapter 1 Section 3 |
|
|
Instructional Objective
0817.06 Understand concepts of the Cartesian
Coordinate System. |
Standard Reference
AII.3.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Graph horizontal and vertical lines, given the
equation. |
Text: Chapter 2 Section 3 |
TMA, EOC |
|
02 |
Find the x and y intercepts of a linear equation. |
Text: Chapter 2 Section 2 |
TMA, EOC |
|
03 |
Determine the slope of a line using the slope
formula, the equation of the line, or the graph
of an equation. |
Text: Chapter 2 Section 3 |
EOC |
|
04 |
Graph a linear equation with two variables. |
Text: Chapter 2 Section 2 |
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 2 Section 4 |
EOC |
|
06 |
Graph an inequality of more than one variable. |
Text: Chapter 2 Section 7 |
EOC |
|
07 |
Identify inequalities by observing their graph. |
Text: Chapter 2 Section 7 |
|
|
Instructional Objective
0817.07 Use a variety of methods, including
common mathematical formulas, to solve problems
drawn from daily life. |
Standard Reference
AII.4.4 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Recognize and use an inequality in a problem
situation. |
Text: Chapter 2 Section 7 |
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 1 through 7 |
EOC |
|
Instructional Objective
0817.08 Understand units and their relationship
to one another and to real world applications. |
Standard Reference
AII.3.2.1, AII.3.2.2 A |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use measurement in word problems. |
Text: Chapter 2 Sections 3 |
|
|
Instructional Objective
0817.09 Understand and use appropriate procedures
to solve linear equations and inequalities. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve equations and inequalities with one variable
and recognize the solutions when graphed or when
written in set notation. |
Text: Chapter 1 Section 3 and 5 |
|
|
02 |
Use equations with one variable to solve word
problems. |
Text: Chapter 1 Section 3 |
|
|
03 |
Solve inequalities with one variable in word
problems. |
Text: Chapter 1 Section 6 |
|
|
04 |
Recognize an inequality on a number line. |
Text: Chapter 1 Section 6 |
|
|
05 |
Solve absolute value equations. |
Text: Chapter 1 Section 4 |
EOC |
|
06 |
Solve compound inequalities and equations. |
Text: Chapter 1 Section 6 |
EOC |
|
07 |
Solve compound and absolute value inequalities
and equations. |
Text: Chapter 1 Section 6 |
EOC |
|
08 |
Write solutions in set notation. |
Text: Chapter 1 Section 4 |
TMA, EOC |
|
Instructional Objective
0817.10 Represent a set of data in a table,
a graph, and as a mathematical relationship. |
Standard Reference
AII.3.1.1.A, AII.3.1.2.C, AII.3.4.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify the graph of a linear or absolute value
equation. |
Text: Chapter 2 Sections 6 |
EOC |
|
02 |
Graph absolute value functions. |
Text: Chapter 2 Section 6 |
TMA, EOC |
|
03 |
Graph linear and absolute value equations and
determine the equations from a graph. |
Text: Chapter 2 Sections 2 and 6 |
EOC |
|
04 |
Graph linear or absolute value inequalities
and determine an inequality from a graph. |
Text: Chapter 2 Section 7 |
|
|
05 |
Identify the graph of an absolute value function
and explain the effect of a transformation on
a graph. |
Text: Chapter 2 Section 6 |
|
|
Instructional Objective
0817.11 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 2 Sections 2, 5 and 6 |
|
|
Back to Top |
|
Unit
3 |
Systems of Equations
and Inequalities |
Semester 1, 2½ weeks |
|
Instructional Objective
0817.12 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 1 |
EOC |
|
02 |
Solve systems of linear equations with two variables. |
Text: Chapter 3 Section 1 through 3 |
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 1 |
|
|
04 |
Solve systems of linear inequalities. |
Text: Chapter 3 Section 3 |
EOC |
|
Instructional Objective
0817.13 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 Section 5 |
|
|
Instructional Objective
0817.14 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 Section 5 |
|
|
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 5 |
EOC |
|
Instructional Objective
0817.15 Use graphs, matrices, and sequences
to represent and solve problems. |
Standard Reference
AII.1.1.3.A, AII.1.3.2.A, AII.1.2.1.A |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve matrix equations for variables elements
by setting corresponding elements equal to each
other. |
Text: Chapter 4 Section 1 |
TMA, EOC |
|
02 |
Use addition and subtraction of matrices to
do transformations of geometric figures. |
Text: Chapter 4 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 4 Sections 1 through 5 |
EOC |
|
04 |
Describe transformations of geometric figures
using matrices. |
Text: Chapter 4 Sections 4 |
|
|
05 |
Use matrices to represent figures in algebraic
equations or graphs on the coordinate plane |
Text: Chapter 4 Sections 4 |
|
|
06 |
Identify and calculate inverse matrices. |
Text: Chapter 4 Section 7 |
EOC |
|
07 |
Use matrices to solve word problems. |
Text: Chapter 4 Sections 1 through 8 |
|
|
Instructional Objective
0817.16 Understand congruence and similarity
as they apply to reflection, rotation, and
translation. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Describe transformations of geometric figures
using matrices. |
Text: Chapter 4 Sections 4 |
|
|
Instructional Objective
0817.17 Understand scaling as it relates to
size variations in one, two, and three-dimensional
objects, while shape is maintained. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find the area of a triangle in the Cartesian
coordinate plane by using matrices. |
Text: Chapter 4 Section 5 |
TMA |
|
Instructional Objective
0817.18 Understand and use appropriate procedures
to solve simple linear systems of equations
and inequalities. |
Standard Reference
|
|
Back to Top |
|
Unit
5 |
Factoring and Operations
with Polynomials |
Semester 1, 4 weeks |
|
Instructional Objective
0817.19 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 6 Section 1 |
|
|
02 |
Perform operations on numbers written in scientific
notation. |
Text: Chapter 6 Section 1 |
|
|
Instructional Objective
0817.20 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Simplify polynomial expressions by performing
operations, including advanced polynomial division. |
Text: Chapter 6 Sections 2 and 3 |
EOC |
|
Instructional Objective
0817.21 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 6 Section 6 |
EOC |
|
02 |
Factor various trinomials. |
Text: Chapter 6 Section 6 |
TMA, EOC |
|
03 |
Factor polynomials, including perfect squares,
perfect square trinomials and the sum and difference
of two cubes. |
Text: Chapter 6 Section 6 |
EOC |
|
04 |
Factor by grouping. |
Text: Chapter 6 Section 6 |
TMA |
|
Back to Top |
|
Unit
6 |
Quadratic Equations
and Inequalities |
Semester 1, 3 weeks |
|
Instructional Objective
0817.22 Use appropriate procedures to simplify
and solve polynomial equations and inequalities. |
Standard Reference
AII.4.2.1.A, AII.3.1.2.A, AII.3.1.1.B. |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Graph quadratic equations. |
Text: Chapter 5 Section 1 |
EOC |
|
02 |
Graph a quadratic equation, determine the maximum
or minimum point, and find the zeros with or
without a graphing utility. |
Text: Chapter 5 Section 2 |
EOC |
|
03 |
Solve quadratic equations by factoring, completing
the square, or using the quadratic formula. |
Text: Chapter 5 Sections 3, 5, 6 |
EOC |
|
04 |
Use the discriminant to determine the roots
of a quadratic. |
Text: Chapter 5 Section 6 |
EOC |
|
05 |
Solve quadratic equations when solutions are
complex. |
Text: Chapter 5 Sections 5 and 6 |
TMA, EOC |
|
06 |
Determine a quadratic equation or its coordinates
from a graph. |
Text: Chapter 5 Sections 7 |
|
|
07 |
Solve word problems using quadratic equations. |
Text: Chapter 5 Sections 7 |
|
|
08 |
Solve and graph quadratic inequalities. |
Text: Chapter 5 Section 8 |
EOC |
|
09 |
Graph solutions to a quadratic inequality on
a number line. |
Text: Chapter 5 Section 8 |
TMA, EOC |
|
Instructional Objective
0817.23 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 5 Sections 1- 8 |
|
|
Instructional Objective
0817.24 Represent a set of data in a table,
a graph, and as a mathematical relationship. |
Standard Reference
AII.3.4.1.A |
|
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 5 Section 7 |
|
|
02 |
Restate an equation in an alternate form or
standard form. |
Text: Chapter 5 Section 7 |
EOC |
|
Instructional Objective
0817.25 Model real-world phenomena using polynomial,
rational, and basic exponential functions,
noting restricted domains. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Determine a quadratic equation or its coordinates
from a graph. |
Text: Chapter 5 Sections 7 |
|
|
Back to Top |
|
Unit
7 |
Polynomials. Equations,
and Functions |
Semester 1, 4 weeks |
|
Instructional Objective
0817.26 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AII.1.3.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Perform synthetic division on polynomials to
determine remainders, roots, and factors. |
Text: Chapter 6 Section 7 |
TMA, EOC |
|
Instructional Objective
0817.27 Use appropriate procedures to simplify
and solve polynomial equations and inequalities. |
Standard Reference
AII.1.1.2A, AII.1.3.2.E, AII.3.1.1.C, AII.3.1.2.D,
AII3.2.2.G |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find remaining factors of a polynomial when
given one of the factors. |
Text: Chapter 6 Section 7 |
TMA, EOC |
|
02 |
Use Descarte’s Rule of Signs to determine the
possible combinations of root types. |
Text: Chapter 6 Section 8 |
TMA |
|
03 |
Solve polynomial equations of degree two or
greater. |
Text: Chapter 6 Sections 3 |
EOC |
|
04 |
Use a graphing calculator to find polynomial
roots. |
Text: Chapter 6 Section 6 |
TMA |
|
05 |
Use quadratic methods to solve non-quadratic
equations. |
Text: Chapter 6 Section 6 |
TMA |
|
Instructional Objective
0817.28 Model real-world phenomena using polynomial,
rational, and basic exponential functions,
noting restricted domains. |
Standard Reference
AII 3.1.2.E,F, AII 3.4..1.B |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Determine the equation of a polynomial, given
its roots. |
Text: Chapter 6 Section 8 |
TMA, EOC |
|
02 |
Describe the characteristics and properties
of classes of functions. |
Text: Chapter 6 Section 4 |
|
|
Back to Top |
|
Unit
8 |
Powers, Roots, and
Radicals |
Semester 2, 3 weeks |
|
Instructional Objective
0817.29 Understand properties of roots, exponents,
and logarithms |
Standard Reference
AII.1.3.2.B
AII.3.2.2.B, E |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Evaluate an expression using exponents. |
Text: Chapter 6 Section 3 |
EOC |
|
02 |
Perform operations on numerical expressions
containing integral and fractional exponents. |
Text: Chapter 7 Sections 6 |
EOC |
|
03 |
Perform operations on number sentences containing
radicals. |
Text: Chapter 7 Section 6 |
EOC |
|
Instructional Objective
0817.30 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AII.1.1.2.A, AII1.1.1.A,B,C, AII.1.3.1.A,B,C,
AII.1.3.2.D |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Simplify radical expressions containing variables. |
Text: Chapter 7 Section 6 |
EOC |
|
02 |
Perform operations with expressions containing
radicals. |
Text: Chapter 7 Section 6 |
EOC |
|
03 |
Reduce fractions with positive and negative
exponents in the denominator. |
Text: Chapter 8 Sections 1 |
EOC |
|
04 |
Perform operations on numbers containing integral
and fractional exponents. |
Text: Chapter 7 Sections 6 |
EOC |
|
05 |
Simplify expressions containing negative or
fractional exponents. |
Text: Chapter 8 Sections 1 |
EOC |
|
06 |
Add, subtract, multiply, and divide complex
numbers. |
Text: Chapter 5 Section 4 |
EOC |
|
07 |
Simplify expressions involving imaginary or
complex numbers, including radical expressions
involving negative radicands. |
Text: Chapter 5 Sections 9 and 10 |
EOC |
|
Instructional Objective
0817.31 Use appropriate procedures to simplify
and solve polynomial equations and inequalities. |
Standard Reference
AII.1.3.1.D,E, AII.1.1.4.B |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve radical equations. |
Text: Chapter 5 Section 8 |
EOC |
|
02 |
Solve fractional and radical equations. |
Text: Chapter 5 Section 8 |
EOC |
|
Instructional Objective
0817.32 Understand concepts of the Cartesian
Coordinate System. |
Standard Reference
AII.3.1.1.B,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 10 Section 1 |
|
|
02 |
Find the midpoint of a segment, given its endpoints. |
Text: Chapter 10 Section 1 |
TMA, EOC |
|
03 |
Develop the equation of a circle from given
information and identify the center and radius
of a circle equation. |
Text: Chapter 10 Section 3 |
EOC |
|
04 |
Write the equation of a circle or a parabola. |
Text: Chapter 10 Sections 2 and 3 |
TMA, EOC |
|
05 |
Identify and describe the graphs and equations
of circles and parabolas. |
Text: Chapter 10 Sections 2 and 3 |
|
|
06 |
Graph parabolas and circles. |
Text: Chapter 10 Sections 2 and 3 |
EOC |
|
07 |
Determine the equation of a parabola or a circle,
given the graph. |
Text: Chapter 10 Sections 2 and 3 |
|
|
08 |
Convert equations to standard form, if necessary,
and then determine the characteristics of a circle
(e.g. center and radius). |
Text: Chapter 10 Section 3 |
TMA, EOC |
|
09 |
Convert equations to standard form, if necessary,
and then determine the characteristics of a parabola
(e.g. distance between points, focus, directrix,
vertex, axis of symmetry, and direction of opening). |
Text: Chapter 10 Section 2 |
EOC |
|
Instructional Objective
0817.33 Represent a set of data in a table,
a graph, and as a mathematical relationship. |
Standard Reference
AII3.4.1.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 5 Section 2 and 3 |
|
|
02 |
Restate an equation in an alternate form or
standard form. |
Text: Chapter 5 Section 2 and Chapter 10 Sections
2 and 3 |
EOC |
|
Instructional Objective
0817.34 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 5 Section 3 |
|
|
Instructional Objective
0817.35 Solve problems that involve varying
quantities with variables, expressions, equations,
inequalities, and absolute values. |
Standard Reference
AII.1.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Determine if a graph, a set of ordered pairs,
a table, or a mapping represents a function. |
Text: Chapter 2 Section 1 |
|
|
02 |
Find the domain and range of a function given
its graph. |
Text: Chapter 2 Section 1 |
|
|
03 |
Find the domain and range of a function given
the function rule. |
Text: Chapter 2 Section 1 |
|
|
04 |
Find the range of a function given its domain |
Text: Chapter 2 Section 1 and Chapter 7 Section
1 |
EOC |
|
Instructional Objective
0817.36 Model real-world phenomena using polynomial,
rational, and basic exponential functions,
noting restricted domains. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Determine the domain and range of a function. |
Text: Chapter 2 Section 1 |
|
|
02 |
Perform operations on functions (e.g. sum, product,
and composition of functions) and justify the
steps used. |
Text: Chapter 7 Sections 1 |
EOC |
|
03 |
Identify a function and its inverse from ordered
pairs, equations, and graphs. |
Text: Chapter 7 Section 2 |
EOC |
|
04 |
Perform compositions of two or more functions,
and then evaluate them for either numerical or
variable values. |
Text: Chapter 7 Section 1 |
TMA, EOC |
|
Instructional Objective
0817.37 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 |
Create table, graphs, and ordered pairs from
a function. |
Text: Chapter 7 Section |
|
|
02 |
Draw a graph to represent a problem situation
or write a possible problem situation that a
graph could represent. |
Text: Chapter 7 Sections 1 |
|
|
03 |
Recognize changes in a function resulting in
horizontal or vertical shifts or reflections
out an axis. |
Text: Chapter 10 Section 2 |
|
|
Back to Top |
|
Unit
11 |
Rational Expressions,
Functions, and Equations |
Semester 2, 3 weeks |
|
Instructional Objective
0817.38 Represent a set of data in a table,
a graph, and as a mathematical relationship. |
Standard Reference
AII.3.1.1 |
|
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 8 Sections 3 |
TMA, EOC |
|
Instructional Objective
0817.39 Understand and use proportions, ratios,
and scaling. |
Standard Reference
AII.1.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve direct, inverse, and joint variation problems. |
Text: Chapter 8 Section 4 |
TMA, EOC |
|
02 |
Solve fractional equations. |
Text: Chapter 8 Section 6 |
EOC |
|
Instructional Objective
0817.40 Understand and use procedures for
operating on algebraic expressions |
Standard Reference
AII.1.3.2.B,D,E |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use operations to simplify and evaluate rational
expressions with monomial and polynomial denominators. |
Text: Chapter 8 Sections 3 |
EOC |
|
02 |
Simplify complex fractions that contain rational
expressions in numerator and/or denominator. |
Text: Chapter 8 Section 2 |
TMA, EOC |
|
Instructional Objective
0817.41 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 8 Section 6 |
TMA, EOC |
|
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Unit
12 |
Exponential and Logarithmic
Equations and Functions |
Semester 2, 3 weeks |
|
Instructional Objective
0817.42 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AII.1.1.4.A, AII.1.3.1.F |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Convert a logarithmic equation to an exponential
equation and vice versa. |
Text: Chapter 9 Section 2 |
EOC |
|
02 |
Use the properties of logarithms to simplify
logarithmic expressions. |
Text: Chapter 9 Section 3 |
EOC |
|
03 |
Use logarithms and antilogarithms to convert
an expression to an equivalent expression. |
Text: Chapter 9 Sections 2, 3, and 4 |
EOC |
|
04 |
Solve equations involving variables inside logarithms
or as exponents. |
Text: Chapter 9 Sections 4 and 5 |
TMA, EOC |
|
Instructional Objective
0817.43 Use appropriate procedures to simplify
and solve polynomial equations and inequalities. |
Standard Reference
AII.3.2.2.D |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve logarithmic and exponential equations. |
Text: Chapter 9 Sections 3 and 6 |
EOC |
|
Instructional Objective
0817.44 Model real-world phenomena using polynomial,
rational, and basic exponential functions,
noting restricted domains. |
Standard Reference
AII.3.1.1.D |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use exponential functions to solve exponential
growth and decay problems. |
Text: Chapter 9 Section 6 |
EOC |
|
02 |
Graph exponential functions |
Text: Chapter 9
Section 1 |
|
|
Instructional Objective
0817.45 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 13 Section 1 |
EOC |
|
Instructional Objective
0817.46 Understand the basic concepts of right
triangle trigonometry (basic trigonometry ratios
such as sine, cosine, and tangent). |
Standard Reference
AII.4.1.1.A |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use right triangle trigonometry. |
Text: Chapter 13 Section 1 |
EOC |
|
02 |
Use the definitions of trigonometric functions
to find the sine, cosine, tangent, cotangent,
secant, and cosecant of an angle. |
Text: Chapter 13 Section 1 |
EOC |
|
Instructional Objective
0817.47 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 2 |
TMA, EOC |
|
Instructional Objective
0817.48 Use trigonometric ratio methods to
solve problems. |
Standard Reference
AII.4.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Apply special triangle relationships to solve
problems involving triangles. |
Text: Chapter 13 Sections 1 and 3 through 5 |
EOC |
|
02 |
Solve word problems involving the missing sides
and angles of right triangles using trigonometric
ratios. |
Text: Chapter 13 Section 1 |
|
|
03 |
Solve non-right triangles using the Law of Sines
or the Law of Cosines. |
Text: Chapter 13 Sections 4 and 5 |
TMA, EOC |
|
04 |
Find coterminal angle measurements for a specified
angle. |
Text: Chapter 13 Section 2 |
TMA |
|
05 |
Use the unit circle to find exact trigonometric
values of general angles. |
Text: Chapter 13 Section 3 |
TMA, EOC |
|
06 |
Find values of expressions involving inverse
trigonometric functions. |
Text: Chapter 13 Sections 1 and 7 |
TMA, EOC |
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