Course Description
Open to: 10, 11, 12
Prerequisite: passing Algebra 1 Part 1
Content: Students will be introduced to the concepts of algebra, geometry,
logic, probability and statistics with an emphasis on algebra.
Note 1: This is the second year
of a two-year Algebra I course
Adopted Materials
Title: Algebra 1
Author: Bellman et. al.
Edition: 2009
Publisher: Prentice Hall
Resource Materials:
Textbook:
Smith, et. Al. Algebra 1. Prentice Hall, Upper Saddle River, NJ. 2006.
Foster, Winters, Gell, Rath, Gordon. Algebra I. Merrill, Westerville, OH. 1995.
(Glencoe)
Additional Resources:
Taylor, Harold and Loretta. Developing Skills in Algebra I Book A. Palo Alto,
Ca. Dale Seymour. 1984. (DS-A)
Taylor, Harold and Loretta. Developing Skills in Algebra I Book B. Palo Alto,
Ca. Dale Seymour. 1984. (DS-B)
Taylor, Harold and Loretta. Developing Skills in Algebra I Book C. Palo Alto,
Ca. Dale Seymour. 1984. (DS-C)
Marcy, Steve and Janis. Middle School Math with Pizazz C revised. Chicago.
Creative Publications, 1996. (CP-C)
Marcy, Steve and Janis. Middle School Math with Pizazz D revised. Chicago.
Creative Publications,1996. (CP-D)
Marcy, Steve and Janis. Middle School Math with Pizazz E revised. Chicago.
Creative Publications,1996. (CP-E)
Marcy, Steve and Janis. Algebra with Pizazz revised. Chicago. Creative Publications,
1996. (CP-A)
Mathematics Curriculum
Map
Course overview, activities, vocabulary, supplemental materials in pdf format.
Copyright
Resources
Course Scope
Unit 1
|
Preparation and Review
|
2 Weeks
|
Unit 2
|
Preparation and Review
|
3 Weeks
|
Unit 3
|
Factoring
|
4 Weeks
|
Unit 4
|
Graphs and Linear Equations
|
3 Weeks
|
Unit 5
|
Systems of Open Sentences
|
2 Weeks
|
Unit 6
|
Systems of Inequalities
|
2 Weeks
|
Unit 7
|
Solving Polynomial Equations
|
1 Week
|
Unit 8
|
Statistics and Probability
|
2 Weeks
|
Unit 9
|
Radical Expressions
|
6 1/2 Week
|
Unit 10
|
Functions and Graphs
|
2 Weeks
|
Unit 11
|
Rational Expressions
|
4 Weeks
|
Assessment
Correlation acronyms key
Mathematics Curriculum Matrix K-12 pdf or Word
document
|
Unit
1 |
Preparation and Review |
2 weeks |
|
Instructional Objective
0811.01 Use the proper order of operations.
Perform operations with real numbers. |
Standard Reference
AI.1.3.1.a |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Use the order of operations to evaluate expressions. |
Text
Review Masters |
TMT, EOC |
|
Instructional Objective
0811.02 Understand properties of the real
number system. |
Standard Reference
AI.1.1.1.a-e |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Use the distributive property to simplify expressions |
CH 2 |
TMT, EOC |
|
Instructional Objective
0811.03 Understand and use positive and negative
numbers, fractions, decimals, percentages,
and scientific notation. |
Standard Reference
AI.1.3.1.a,d, AI.1.1.2.a |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Compare rational numbers. |
CH 2 |
TMA, EOC |
|
02 |
Add, subtract, multiply and divide rational
numbers. |
CH 2 |
TMT, EOC |
|
Instructional Objective
0811.04 Use graphs and sequences to represent
and solve problems. |
Standard Reference
AI.3.1.1.g |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Graph integers on a number line. |
CH 1 |
TMA, EOC |
|
02 |
Graph inequalities on a number line. |
CH 4 |
TMA, EOC |
|
Instructional Objective
0811.05 Understand and use appropriate procedures
to solve linear equations and inequalities. |
Standard Reference
AI.3.2.2.a-f, AI.2.2.1.a |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Solve equations involving more than one operation. |
CH 3 |
TMA, EOC |
|
02 |
Solve equations with the variable on both sides. |
CH 3 |
TMT, EOC |
|
Instructional Objective
0811.06 Understand and use appropriate procedures
to solve linear equations and inequalities. |
Standard Reference
AI.3.2.2.a-f, AI.2.1.1.a |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Solve inequalities. |
CH 7 |
TMA, EOC |
|
Instructional Objective
0811.07 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AI.1.3.3.a-c, AI.3.2.2 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Multiply monomials. |
CH 8 |
TMA, EOC |
|
02 |
Add and subtract polynomials. |
CH 8 |
TMA, EOC |
|
03 |
Multiply a polynomial by a monomial. |
CH 8 |
TMA, EOC |
|
04 |
Use the FOIL method to multiply two binomials. |
CH 8 |
TMA, EOC |
|
Instructional Objective
0811.08 Understand and use positive and negative
numbers, fractions, decimals, percentages,
and scientific notation. |
Standard Reference
AI.1.3.1.d |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Express numbers in scientific and decimal notation. |
CH 8 |
TMA, EOC |
|
Instructional Objective
0811.09 Use number theory concepts (divisibility
rules, factors, multiples, primes) to solve
problems. |
Standard Reference
AI.1.3.3 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Apply definitions of prime and composite numbers
to solve mathematical problems. |
CH 9 |
TMA, EOC |
|
Instructional Objective
0811.10 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AI.1.3.3, AI.3.1.2.b-d, AI.3.2.2.g |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Use the greatest common factor and the distributive
property to factor polynomials |
CH 9 |
TMA, EOC |
|
02 |
Use grouping techniques to factor polynomials
with four or more terms |
CH 9 |
TMA, EOC |
|
03 |
Factor the difference of two squares or perfect
square trinomials. |
CH 9 |
TMA, EOC |
|
04 |
Factor quadratic trinomials |
CH 9 |
TMA, EOC |
|
Instructional Objective
0811.11 Understand concepts of the Cartesian
Coordinate System. |
Standard Reference
AI.5.2.2 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Graph ordered pairs on a coordinate plane |
CH 6 |
TMA, EOC |
|
Instructional Objective
0811.12 Understand concepts of the coordinate
system. |
Standard Reference
AI.3.1.1.e-f, AI.3.1.2.a, AI.3.4.1.a |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Find the slope of a line given the coordinates
of two points on the line. |
CH 6 |
TMA, EOC |
|
02 |
Write a linear equation in standard form given
(a) a point on the line and the slope of the
line, and (b) two points on the line. |
CH 6 |
TMA, EOC |
|
03 |
Write an equation in slope-intercept form given
(a) slope and y-intercept, (b) slope and a point
on the line, or (c) two points on the line. |
CH 6 |
TMA, EOC |
|
04 |
Write an equation of a line that passes through
a given point and is parallel or perpendicular
to the graph of a given equation. |
CH 6 |
TMA, EOC |
|
05 |
Determine slope and x- and y-intercepts of a
graph. |
CH 6 |
TMA, EOC |
|
06 |
Graph linear equations given (a) x- and y-intercepts,
or (b) slope and y-intercept. |
CH 6 |
TMA, EOC |
|
Instructional Objective
0811.13 Use graphs and sequences to represent
and solve problems. |
Standard Reference
AI.3.1.1, AI.3.2.1 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Solve systems of equations by graphing. |
CH 7 |
TMA, EOC |
|
Instructional Objective
0811.14 Understand and use appropriate procedures
to solve simple linear systems of equations
and inequalities. |
Standard Reference
AI.3.2.2, AI.1.3.2.a-b |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Solve systems of equations by (a) substitution,
and (b) linear combinations. |
CH 7 |
TMA, EOC |
|
Instructional Objective
0811.15 Understand and use appropriate procedures
to solve simple linear systems of equations
and inequalities. |
Standard Reference
AI.3.2.2 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Solve systems of equations by (a) substitution,
and (b) linear combinations. |
CH 8 |
TMA, EOC |
|
Instructional Objective
0811.16 Use appropriate procedures to simplify
and solve polynomial equations and inequalities. |
Standard Reference
AI.3.2.2, AI.3.3.1.a-b |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Use the zero product property to solve equations. |
CH 9 |
TMA, EOC |
|
Instructional Objective
0811.17 Read and interpret tables, charts,
and graphs (scatter plots, line graphs, three-dimensional
graphs, and pie charts). |
Standard Reference
AI.5.2.2.a-b |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Interpret numerical data from a table |
See Additional Practice Pgs 780+ |
TMA, EOC |
|
Instructional Objective
0811.18 Collect and organize data, and display
the data in tables, charts, and graphs (scatter
diagrams, frequency tables, bar graphs, pie
charts, and lines of best fit). |
Standard Reference
AI.5.2.2.a-c |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Display and interpret statistical data on a
line plot. |
PG 785 |
TMA, EOC |
|
02 |
Display and interpret statistical data on a
stem-and-leaf plot. |
Sec. 1.6 |
TMA, EOC |
|
03 |
Display and interpret statistical data on a
box-and-whisker plot. |
PG 790 |
TMA, EOC |
|
Instructional Objective
0811.19 Understand basic statistical concepts
including mean (average), median, mode, range,
and standard deviation. |
Standard Reference
AI.5.2.1.a-c |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Calculate mean, median, and mode of a set of
data |
Sec. 1.6 |
TMA, EOC |
|
02 |
Calculate and interpret the range, quartiles,
and the interquartile range of a set of data. |
Sec. 1.6 |
TMA, EOC |
|
Instructional Objective
0811.20 Understand experimental and theoretical
probability. |
Standard Reference
AI.5.2.1 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Find the probability and odds of a simple event. |
Sec. 2.6-2.7 |
TMA, EOC |
|
Instructional Objective
0811.21 Understand properties of roots, and
exponents. |
Standard Reference
AI.1.1.2.a, AI.1.2.1.a, AI.1.3.1.b-c, AI.3.2.2 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Students will perform operations on numerical
expressions containing root and integral exponents. |
CH 11 |
TMA, EOC |
|
02 |
Perform basic operations to simplify radical
expressions containing variables. |
CH 11 |
TMA, EOC |
|
03 |
Solve radical equations |
CH 11 |
TMA, EOC |
|
05 |
Simplify radical expressions involving addition
and subtraction. |
CH 11 |
TMA, EOC |
|
Instructional Objective
0811.22 Know and apply the Pythagorean Theorem
to solve real world problems. |
Standard Reference
AI.3.2.1 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Use the Pythagorean Theorem. |
Sec. 3.8-3.9 |
TMA, EOC |
|
02 |
Find the distance between two points in the
coordinate plane. |
CH 11 |
TMA, EOC |
|
Instructional Objective
0811.23 Understand properties of the real
number system. |
Standard Reference
AI.1.1.2, AI.1.2.1 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Identify irrational numbers. |
CH 11 |
TMA, EOC |
|
Instructional Objective
0811.24 Represent a set of data in a table,
as a graph, and as a mathematical relationship. |
Standard Reference
AI.3.2.1.a-b, AI.3.1.1.a-e |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Identify the domain and range of a relation. |
Sec. 1.3 |
TMA, EOC |
|
02 |
Show relations as sets of ordered pairs |
Sec. 1.3 |
TMA, EOC |
|
Instructional Objective
0811.25 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AI.1.2.1, AI.1.3.1, AI.3.2.2, AI.1.3.3.a |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Simplify rational expressions. |
CH 12 |
TMA, EOC |
|
02 |
Multiply and divide rational expressions. |
CH 12 |
TMA, EOC |
|
03 |
Divide polynomials by binomials. |
CH 12 |
TMA, EOC |
|
04 |
Simplify mixed expressions and complex fractions. |
CH 12 |
TMA, EOC |
|
05 |
Add and subtract rational expressions |
CH 12 |
TMA, EOC |
|
06 |
Solve rational equations. |
CH 12 |
TMA, EOC |
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