Course Description
Open to: 9th graders (first year of a two-year Algebra
1 course)
Prerequisite: C or better in Mathematics 8 Modified, a D in Mathematics 8,
and/or instructor/counselor approval
Content: Students will review fundamental arithmetic: addition, subtraction,
multiplication and division of fractions to show the properties of the number
system. Elementary algebraic concepts will be reinforced; problem solving strategies
and applications will be reviewed. This course includes a non-rigorous treatment
of Algebra 1 from basic algebraic concepts to factoring simple trinomials.
This course is designed for the student who needs additional time to learn
the Algebra 1 content.
Note: This is the first year of a two-year
Algebra 1 course.
Adopted Materials
Title: Algebra 1
Author: Bellman et. al.
Edition: 2009
Publisher: Prentice Hall
Additional Resources:
Textbook:
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
|
Introduction to Algebra
|
6 Weeks
|
Unit 2
|
Integers, Rational Numbers & Probability
|
5 Weeks
|
Unit 3
|
Solving Equations
|
6 Weeks
|
Unit 4
|
Problem Solving & Inequalities/Compound
Sentences
|
4 Weeks
|
Unit
5
|
Relations and Functions
|
5 Weeks
|
Unit 6
|
Linear Equations
|
6 Weeks
|
Assessment
Correlation acronyms key
Mathematics Curriculum Matrix K-12 pdf or Word
document
|
Unit
1 |
Introduction to Algebra |
6 weeks |
|
Instructional Objective
0810.01 Understand and use variables, expressions,
equations, and inequalities. |
Standard Reference
|
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Translate verbal expressions into mathematical
expressions and equations. |
Sec. 1-1,1-7,3.11 |
TMT, EOC |
|
Instructional Objective
0810.02 Use the proper order of operations.
Perform operations with real numbers. |
Standard Reference
AI.1.3.1 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Use the order of operations to evaluate expressions. |
Sec. 1.1,1.2,1.4 |
TMT, EOC |
|
Instructional Objective
0810.03 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AI.3.2.2 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Solve open sentences by performing arithmetic
operations. |
Sec. 1.7 |
TMT, EOC |
|
Instructional Objective
0810.04 Understand properties of the real
number system. |
Standard Reference
AI.1.1.1, AI.1.1.2 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Recognize and use the properties of identity
and equality. |
Sec. 1.2 |
TMT, EOC |
|
02 |
Use the distributive property to simplify expressions. |
Sec. 1.5,2.7,2.8,5.9 |
TMT, EOC |
|
03 |
Recognize and use the commutative and associative
properties when simplifying expressions. |
Sec. 1.2,1.3 |
TMT, EOC |
|
Instructional Objective
0810.05 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 |
Explore problem situations by asking and answering
questions. |
Sec. 1.7,1.9,2.9,3.11 |
TMT, EOC |
|
Back to Top |
|
Unit
2 |
Integers, Rational
Numbers and Probability |
5 weeks |
|
Instructional Objective
0810.06 Understand and use positive and negative
numbers, fractions, decimals, percentages,
and scientific notation. |
Standard Reference
AI.1.3.1 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Compare rational numbers |
Sec. 2.2 |
TMT, EOC |
|
02 |
Add, subtract, multiply and divide rational
numbers. |
Sec. 2.3, 2.4, 2.5, 2.6 |
TMT, EOC |
|
Instructional Objective
0810.07 Use graphs and sequences to represent
and solve problems. |
Standard Reference
AI.1.2.1 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Graph integers on a number line. |
Sec. 4.1,2.1 |
TMT, EOC |
|
02 |
Graph inequalities on a number line. |
Sec. 4.1,4.2,4.3,9.1,9.2 |
TMT, EOC |
|
Instructional Objective
0810.08 Understand and use appropriate procedures
to solve linear equations and inequalities. |
Standard Reference
AI.3.2.2. |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Solve equations by using addition |
Sec. 3.1 |
TMT, EOC |
|
02 |
Solve equations by using subtraction |
Sec. 3.1 |
TMT, EOC |
|
03 |
Solve equations by using multiplication or division. |
Sec. 3.2 |
TMT, EOC |
|
04 |
Solve equations by working backwards |
Sec. 3.3 |
TMT, EOC |
|
05 |
Solve equations involving more than one operation. |
Sec. 3.3,3.4,3.5 |
TMT, EOC |
|
06 |
Solve equations with variables on both sides. |
Sec. 3.6,3.5 |
TMT, EOC |
|
07 |
Solve equations containing grouping symbols. |
Sec. 3.5 |
TMT, EOC |
|
08 |
Solve equations containing fractions or decimals. |
Sec. 3.6 |
TMT, EOC |
|
09 |
Solve equations containing more than one variable. |
Sec. 3.7 |
TMT, EOC |
|
Back to Top |
|
Unit
4 |
Problem Solving & Inequalities/Compound
Sentences |
4 weeks |
|
Instructional Objective
0810.09 Understand and use ratios, proportions,
and scaling. |
Standard Reference
AI.3.3.1 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Solve proportions |
Sec. 3.9 |
TMT, EOC |
|
Instructional Objective
0810.10 Understand and use positive and negative
numbers, fractions, decimals, percentages,
and scientific notation. |
Standard Reference
AI.1.3.1 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Solve percent problems. |
Sec. 3.10 |
TMT, EOC |
|
02 |
Solve problems involving simple interest |
Sec. 3.10 |
TMT, EOC |
|
03 |
Solve problems involving percent of increase
or decrease. |
Sec. 3.10 |
TMT, EOC |
|
04 |
Solve problems involving discount or sales tax. |
Sec. 3.10 |
TMT, EOC |
|
Instructional Objective
0810.11 Select the appropriate means to communicate
mathematical information. |
Standard Reference
AI.3.1.2 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Solve problems by making a table or chart. |
Chapter 3 |
TMT, EOC |
|
Instructional Objective
0810.13 Understand and use appropriate procedures
to solve linear equations and inequalities. |
Standard Reference
|
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Solve problems involving uniform motion by using
the formula d = rt. |
Sec.1.9 |
TMT, EOC |
|
Instructional Objective
0810.15 Understand and use appropriate procedures
to solve linear equations and inequalities. |
Standard Reference
AI.3.2.2 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Solve inequalities by using addition and subtraction. |
Sec. 4.2 |
TMT, EOC |
|
02 |
Solve inequalities by using multiplication and
division. |
Sec. 4.3 |
TMT, EOC |
|
03 |
Solve inequalities involving more than one operation. |
Sec. 4.4 |
TMT, EOC |
|
04 |
Solve compound inequalities and graph their
solution sets. |
Sec. 9.1,9.2 |
TMT, EOC |
|
Instructional Objective
0810.16 Select the appropriate means to communicate
mathematical information. |
Standard Reference
AI.5.2.2 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Solve problems by making a diagram. |
|
TMT, EOC |
|
Instructional Objective
0810.17 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AI.1.1.1, AI.1.1.2, AI.1.2.1, AI.1.3.3 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Multiply monomials |
Sec. 5.1,5.2,5.3 |
TMT, EOC |
|
02 |
Simplify expressions involving powers of monomials. |
Sec. 5.1,5.2,5.3 |
TMT, EOC |
|
03 |
Simplify expressions involving quotients of
monomials. |
Sec. 5.1,5.2,5.3 |
TMT, EOC |
|
04 |
Simplify expressions containing negative exponents. |
Sec. 5.1 |
TMT, EOC |
|
05 |
Find the degree of a polynomial. |
Sec. 5.5 |
TMT, EOC |
|
06 |
Arrange the terms of a polynomial so that the
powers of a certain variable are in ascending
or descending order. |
Sec. 5.6 |
TMT, EOC |
|
07 |
Add and subtract polynomials |
Sec. 5.7,5.8 |
TMT, EOC |
|
08 |
Multiply a polynomial by a monomial |
Sec. 5.9 |
TMT, EOC |
|
09 |
Use the FOIL method to multiply two binomials. |
Sec. 5.9,5.10 |
TMT, EOC |
|
Instructional Objective
0810.18 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 |
Find the prime factorization of an integer. |
Sec. 6.1 |
TMT, EOC |
|
02 |
Find the Greatest-Common-Factor for a set of
monomials. |
Sec. 6.1 |
TMT, EOC |
|
Instructional Objective
0810.18 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AI.1.3.3 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Use the greatest common factor and the distributive
property to factor polynomials. |
Sec. 6.1 |
TMT, EOC |
|
02 |
Factor trinomials of the type x2 +
bx + c |
Sec. 6.4 |
TMT, EOC |
Back to Top
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Mathematics curriculum e-mail
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