Course Description
Open to: 11, 12 One Year Course
Prerequisite: Mathematics in the Workplace 1, Instructor/Counselor Approval
Content: Students will continue focusing on arithmetic operations, problem
solving techniques, estimation of answers, measurement skills, geometry, data
handling, simple statistics, and the use of algebraic formulas to solve problems.
Relatively complex mathematics concepts will be studied from an applications
approach with reference to technological skills necessary for skilled occupations
and advanced learning.
Adopted Materials
Title: AGS Publishing Algebra
Author: Siegfried Haenisch.
Edition: 2004
Publisher AGS Publishing
ISBN: 0-7854-3567-0
Mathematics
Curriculum Map
Course overview, activities, vocabulary, supplemental materials in pdf format.
Copyright
Resources
Course Scope for Semester 1
Unit 1
|
Integers and rule of arithmetic
|
Unit 2
|
Solving equations, inequalities,
and problem solving
|
Unit 3
|
Exponents and polynomials
|
Unit 4
|
Probability and statistics
|
Course Scope for Semester 2
Unit 5
|
Fractions and algebra
|
Unit 6
|
Linear equations and inequalities.
System of equations
|
Unit 7
|
Irrational numbers and radical expressions
|
Unit 8
|
Introduction to geometry
|
Unit 9
|
Introduction to quadratic equations
|
Assessment
Correlation acronyms key
Mathematics Curriculum Matrix K-12 pdf or Word
document
|
Unit
1 |
Integers and rule of
arithmetic |
Semester 1 |
|
Instructional Objective
0842.01 Understand and use positive and negative
numbers, fractions, decimals, percentages,
and scientific notation. |
Standard Reference AI.1.1.1a |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find the sum/difference/product/quotient of
integers |
Ch. 1, section 1-7 |
TMA, EOC |
|
Instructional Objective
0842.02 Use the order of operations. |
Standard Reference, AI.1.3.1a |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use the order of operations to simplify or solve
number sentences. |
Ch. 2 section 11 |
TMA, EOC |
|
Instructional Objective
0842.03 Evaluate algebraic expressions and
solve algebraic equations |
Standard Reference, AI.1.3.1a,b,c,d,f,g,
AI.1.3.3a,b,c, |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Recognize and combine like algebraic terms |
Ch. 1 section 8 |
TMA, EOC |
|
Instructional Objective
0842.04 Solve algebraic equations. |
Standard Reference, AI.3.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use properties of addition and multiplication
to simplify algebraic expressions. |
Ch. 2 |
TMA, EOC |
|
Back to Top |
|
Unit
2 |
Solving equations,
inequalities and problem solving |
Semester 1 |
|
Instructional Objective
0842.05 Solve linear equations. |
Standard Reference
AI.3.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find the sum/difference/product/quotient of
integers |
Ch. 1, section 1-7 |
TMA, EOC |
|
02 |
Understand and use properties of equality to
solve equations. |
Ch. 3 |
TMA, EOC |
|
03 |
Solve problems involving perimeter or area of
triangles and rectangles. |
Ch. 3 section 8 |
TMA, EOC |
|
Instructional Objective
0842.06 Know and apply the Pythagorean Theorem
to solve real world problems. |
Standard Reference
AI.3.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use Pythagorean theorem to find sides of a right
triangle |
Ch. 3, sections 9 |
TMA, EOC |
|
Back to Top |
|
Unit
3 |
Exponents and polynomials |
Semester 1 |
|
Instructional Objective
0842.07 Understand properties of roots, and
exponents. |
Standard Reference
AI.1.2.1a, AI.1.1.2a, AI.1.31.b,c,d |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Simplify expressions using exponent rules |
Ch. 5 sections 1, 2 |
TMA, EOC |
|
02 |
Students will convert numbers from scientific
notation to the standard form and vice versa. |
Ch. 5, section 3 |
TMA, EOC |
|
Back to Top |
|
Unit
4 |
Probability and statistics |
Semester 1 |
|
Instructional Objective
0842.08 Understand basic statistical concepts
including mean, median, mode, and range. |
Standard Reference
AI.5.2.1a,b,c |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Compute mean, median, mode, and range from a
set of data |
Ch. 7 section 2 |
TMA, EOC |
|
Instructional Objective
0842.09 Collect and organize data, and display
the data in tables, charts, and graphs (scatter
diagrams, frequency tables, bar graphs, or
pie charts). |
Standard Reference
AI.5.2.1, AI.5.2.2a,b,c |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Generate the appropriate frequency table, stem
and leaf plot, or scatter plot, for a set a data. |
Ch. 7 sections 1, 2, 3 |
TMA, EOC |
|
Instructional Objective
0842.10 Use appropriate procedures to simplify
and solve polynomial equations involving rational
expressions. |
Standard Reference
AI.1.3.3 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find excluded values in rational algebraic expressions. |
Ch. 8, sections 9 |
TMA, EOC |
|
02 |
Simplify rational expressions by factoring |
Ch. 9, section 2 |
TMA, EOC |
|
03 |
Add, subtract, multiply, and divide rational
expressions. |
Ch. 8, sections 2-6 |
TMA, EOC |
|
04 |
Solve rational equations and proportions. |
Ch. 8, sections 7, 8 |
TMA, EOC |
|
Back to Top |
|
Unit
6 |
Linear equations and
inequalities. System of equations |
Semester 2 |
|
Instructional Objective
0842.11 Understands concepts of the Cartesian
Coordinate System. |
Standard Reference
AI.3.1.1c,d,e,f,g, AI.3.2.1, AI.5.2.2, AI.3.1.2a, AI.3.4.1a |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Graph ordered pairs onto a coordinate plane |
Ch. 9 section 1 |
TMA, EOC |
|
02 |
Graph linear equation by finding a table of
ordered pairs |
Ch. 9 section 2 |
TMA, EOC |
|
03 |
Identify positive and negative correlations. |
Ch. 9 section 4 |
TMA, EOC |
|
04 |
Tell whether a group of ordered pairs is a function
by using the definition or the vertical line
test. |
Ch. 9 section 6 |
TMA, EOC |
|
05 |
Evaluate functions written in function notation. |
Ch. 9 |
TMA, EOC |
|
06 |
Graph linear equations with two variables |
Ch. 9 |
TMA, EOC |
|
07 |
Determine the slope of a line given the coordinates
of two points on the line. |
Ch. 9 section 4 |
TMA, EOC |
|
08 |
Distinguish between zero and undefined slope. |
Ch. 9 section 4 |
TMA, EOC |
|
09 |
Know the relationships of the slopes of parallel
and perpendicular lines. |
Ch. 10 sections 1, 2 |
TMA, EOC |
|
10 |
Use x- and y-intercepts to graph a linear equation. |
Ch. 9 section 3 |
TMA, EOC |
|
11 |
Write linear equations in slope-intercept or
standard form. |
Ch. 9 sections 5 |
TMA, EOC |
|
12 |
Write an equation of a line given a point and
the slope or given two points. |
Ch. 9 section 5 |
TMA, EOC |
|
Instructional Objective
0842.12 Understand and use appropriate procedures
to solve simple linear systems of equations
and inequalities. |
Standard Reference
AI.3.2.1a,b |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve a system of equations by graphing. |
Ch. 10 section 6 |
TMA, EOC |
|
02 |
Solve a system of equations by substitution. |
Ch. 10 section 4 |
TMA, EOC |
|
03 |
Solve a system of equations by elimination. |
Ch. 10 sections 5 |
TMA, EOC |
|
Back to Top |
|
Unit
7 |
Irrational numbers
and radical expressions |
Semester 2 |
|
Instructional Objective
0842.13 Understand properties of roots and
exponents |
Standard Reference
AI.1.1.1b,c,d,e, AI.1.1.2a, AI.1.2.1a, AI.3.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Simplify radicals |
Ch. 11, section 3-6 |
TMA, EOC |
|
02 |
Add, subtract, multiply, and divide radicals |
Ch. 11, sections 4, 5, 6 |
TMA, EOC |
|
03 |
Solve a radical equation |
Ch. 11, section 7 |
TMA, EOC |
|
Instructional Objective
0842.14 Understand experimental and theoretical
probability |
Standard Reference
AI.5.2.1, AI.5.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Students will use counting techniques (permutations
and combinations) to determine outcomes |
Ch. 7 sections 7, 8 |
TMA, EOC |
|
02 |
Determine probability of an event. |
Ch. 7 sections 4, 5 |
TMA, EOC |
|
03 |
Determine the probability of two independent
events. |
Ch. 7 section 7 |
TMA, EOC |
|
04 |
Determine the probability of two dependent events. |
Ch. 7 section 7 |
TMA, EOC |
|
Instructional Objective
0842.15 Apply concepts of size, shape, and
spatial relationships |
Standard Reference
AI.2.1.1a, AI.3.3.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Recognize and apply congruency and similarity
of two-dimensional figures |
Ch. 12 |
TMA, EOC |
|
Back to Top |
|
Unit
9 |
Introduction to quadratic
equations |
Semester 2 |
|
Instructional Objective
0842.16 Apply concepts of size, shape, and
spatial relationships |
Standard Reference
AI.2.1.1a, AI.3.3.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Graph quadratic equations using a table of values
and identify zeros. |
Ch. 13, sections 5 |
TMA, EOC |
|
Instructional Objective
0842.17 Use appropriate procedures to simplify
and solve polynomial equations such as y =
x2 + 3x – 7 |
Standard Reference
AI.3.1.2b,c,d |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve a quadratic equation by using the quadratic
formula |
Ch. 13, section 4 |
TMA, EOC |
|
02 |
Solve quadratic equation by taking the square
root of both sides of the equal sign |
Ch. 2, section 9 |
TMA, EOC |
|
03 |
Simplify polynomials using addition, subtraction,
and multiplication |
Ch.5, sections 6-11 |
TMA, EOC |
|
04 |
Factor polynomials |
Ch. 6, sections 1-6 |
TMA, EOC |
|
05 |
Use zero product property to solve equations
by factoring |
Ch. 6, sections 7, 8 |
TMA, EOC |
Back to Top
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