Course Description
Open to: Grades 11, 12 One Year Course
Prerequisite: Intermediate Algebra 2 or Algebra 2;
Instructor/Counselor approval
Content: Students will study concepts of algebra, geometry,
logic, and statistics as these concepts are extended
and integrated with circular, exponential, logarithmic,
and trigonometric functions.
Adopted Materials
Title: Algebra 2
Edition: 2008
Publisher: Glencoe McGraw- Hill
ISBN: 978-0-07-873830-2
Title: Workshop Statistics
Edition: Second
Publisher: Key College Publishing
ISBN: 1-930190-04-2
Mathematics Curriculum
Map
Course overview, activities, vocabulary, supplemental
materials in pdf format.
Copyright
Resources
Course Scope for Semester 1
| Unit 1 |
Relations, Functions,
and Graphs |
13 Weeks |
| Unit 2 |
The Trigonometric
Functions |
4 Weeks |
Course Scope for Semester 2
| Unit 3 |
Exponential and
Logarithmic Equations and Functions |
3 Weeks |
| Unit 4 |
Statistics |
14 Weeks |
Assessment
Correlation acronyms key
Mathematics Curriculum Matrix K-12 pdf or Word
document
|
Unit
1 |
Relations, Functions,
and Graphs |
Semester 1, 13 weeks |
|
Instructional Objective
0818.01 Understand Linear Relations and Functions |
Standard Reference
|
|
No.
|
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Determine whether a given relation is a function. |
Text: Chapter 1 |
|
|
02 |
Identify the domain and range of any relation
or functions |
Text: Chapter 1 |
|
|
03 |
Find the composition of functions |
Text: Chapter 1 |
|
|
04 |
Find and recognize inverse functions |
Text: Chapter 1 |
|
|
05 |
Find the zeros of linear functions |
Text: Chapter 1 |
|
|
06 |
Find the distance between two points |
Text: Chapter 1 |
|
|
07 |
Write Linear equations using slop-intercept
form |
Text: Chapter 1 |
|
|
08 |
Write equations of lines using point-slope form |
Text: Chapter 1 |
|
|
09 |
Write the equations of parallel and perpendicular
lines |
Text: Chapter 1 |
|
|
Instructional Objective
0818.02 Use systems of equations and inequalities
to solve problems. |
Standard Reference
|
|
No.
|
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Solve systems of equations algebraically |
Text: Chapter 2 |
|
|
02 |
Add, Subtract, and multiply matrices |
Text: Chapter 2 |
|
|
03 |
Evaluate determinants |
Text: Chapter 2 |
|
|
04 |
Solve systems of equations by using inverse
matrices |
Text: Chapter 2 |
|
|
05 |
Solve systems of equations by using augmented
matrices |
Text: Chapter 2 |
|
|
06 |
Find the maximum or minimum value of a function
defined for a polygonal convex set |
Text: Chapter 2 |
|
|
Instructional Objective
0818.03 Understand and use graphs |
Standard Reference
|
|
No.
|
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Identify a odd and even functions |
Text: Chapter 3 |
|
|
02 |
Identify graphs of polynomial functions, absolute
value functions, and step functions |
Text: Chapter 3 |
|
|
03 |
Determine the inverse of a function |
Text: Chapter 3 |
|
|
04 |
Determine horizontal, vertical asymptotes |
Text: Chapter 3 |
|
|
05 |
Graph polynomial, absolute value and radical
inequalities |
Text: Chapter 3 |
|
|
06 |
Find the slope and equations of a line tangent
to a curve at a given point |
Text: Chapter 3 |
|
|
Instructional Objective
0818.04 Understand and use appropriate procedures
to solve higher degree equations |
Standard Reference
|
|
No.
|
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Determine the roots of polynomial equations |
Text: Chapter 4 |
|
|
02 |
Find the factors of polynomials using the remainder
and factor theorems |
Text: Chapter 4 |
|
|
03 |
Determine the number of positive and negative
real zeros of a polynomial function |
Text: Chapter 4 |
|
|
04 |
Solve rational equations and inequalities |
Text: Chapter 4 |
|
|
05 |
Solve radical equations and inequalities |
Text: Chapter 4 |
|
|
Back to Top |
|
Unit
2 |
The Decimal System |
Semester 1, 4 weeks |
|
Instructional Objective
0818.05 Use appropriate procedures to measure
angles in radians and degree, evaluate trigonometric
functions solve triangles and find the area
of triangles |
Standard Reference
|
|
No.
|
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Change radian to degree measure, and vice versa |
Text: Chapter 5 |
|
|
02 |
Find the reference angle for a given angle |
Text: Chapter 5 |
|
|
03 |
Find the length of an arc, given the measure
of the central angle |
Text: Chapter 5 |
|
|
04 |
Find the values of the six trigonometric functions
of an angle |
Text: Chapter 5 |
|
|
05 |
Find the values of the six trigonometric functions
of special angles |
Text: Chapter 5 |
|
|
06 |
Solve right triangles |
Text: Chapter 5 |
|
|
07 |
Solve triangles using the Law of Sines |
Text: Chapter 5 |
|
|
08 |
Solve triangles using the Law of Cosines |
Text: Chapter 5 |
|
|
Back to Top |
|
Unit
3 |
Positive and Negative
Numbers |
Semester 2, 3 weeks |
|
Instructional Objective
0818.06 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
|
|
No.
|
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Convert a logarithmic equation to an exponential
equation and vice versa. |
Text: Chapter 11 |
|
|
02 |
Use the properties of logarithms to simplify
logarithmic expressions. |
Text: Chapter 11 |
|
|
03 |
Use logarithms and antilogarithms to convert
an expression to an equivalent expression. |
Text: Chapter 11 |
|
|
04 |
Solve equations involving variables inside logarithms
or as exponents. |
Text: Chapter 11 |
|
|
Instructional Objective
0818.07 Use appropriate procedures to simplify
and solve polynomial equations and inequalities. |
Standard Reference
|
|
No.
|
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Solve logarithmic and exponential equations. |
Text: Chapter 11 |
|
|
Instructional Objective
0818.08 Model real-world phenomena using polynomial,
rational, and basic exponential functions,
noting restricted domains. |
Standard Reference
|
|
No.
|
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Use exponential functions to solve exponential
growth and decay problems. |
Text: Chapter 11 |
|
|
02 |
Graph exponential functions |
Text: Chapter 11
|
|
|
Back to Top |
|
Unit
4 |
Rational Numbers |
Semester 2, 14 weeks |
|
Instructional Objective
0818.09 Exploring Data: Distributions |
Standard Reference
|
|
No.
|
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Using data to discover variability |
Text: Topic 1 |
|
|
02 |
Understand the basic concepts of variable and
its distribution |
Text: Topic 2 |
|
|
03 |
Displaying and Describing Distributions |
Text: Topic 3 |
|
|
04 |
Measures of Center |
Text: Topic 4 |
|
|
05 |
Measure of Spread |
Text: Topic 5 |
|
|
Instructional Objective
0818.10 Comparing Relationships |
Standard Reference
|
|
No.
|
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Comparing and contrasting distributions between
two or more groups simultaneously |
Text: Topic 6 |
|
|
02 |
Comparing distributions of categorical variables
(two way tables of counts) |
Text: Topic 7 |
|
|
03 |
Graphical displays of association |
Text: Topic 8 |
|
|
04 |
Correlation coefficient |
Text: Topic 9 |
|
|
05 |
Relationships between quantitative variables
(least squares regression) |
Text: Topic 10 |
|
|
06 |
Relationships between quantitative variables
(residual plots, transformations of variables) |
Text: Topic 11 |
|
|
Instructional Objective
0818.11 Understand the collection of data |
Standard Reference
|
|
No.
|
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Collection of samples |
Text: Topic 12 |
|
|
02 |
Designing studies |
Text: Topic 13 |
|
|
Instructional Objective
0818.12 Inferences about the population based
on a sample |
Standard Reference
|
|
No.
|
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Develop a sense of probability |
Text: Topic 14 |
|
|
02 |
Discover the models known as a normal distributions |
Text: Topic 15 |
|
|
03 |
Discover how sample proportions vary from sample
to sample, as well as an introduction to confidence
and significance |
Text: Topic 16 |
|
|
04 |
Summarizing quantitative variables as they vary
from sample to sample |
Text: Topic 17 |
|
|
05 |
Central Limit Theorem |
Text: Topic 18 |
|
|
Instructional Objective
0818.13 Inferences from data principles |
Standard Reference
|
|
No.
|
Performance Objective
|
Resource Reference
|
Assessment Correlation
|
|
01 |
Understand the purpose of confidence intervals |
Text: Topic 19 |
|
|
02 |
Become familiar with the t-distribution |
Text: Topic 20 |
|
|
04 |
Develop an intuitive understanding of the reasoning
process used in tests of significance |
Text: Topic 21 |
|
|
05 |
Apply the t-test concerning a population mean
by hand |
Text: Topic 22 |
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Back to Top
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Mathematics curriculum contact:
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