Course Description
Open to: 10, 11, 12 One Year Course
Prerequisite: 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, and primary concepts of probability and
statistics will be introduced. Emphasis will be on the ability to understand
and apply traditional mathematics concepts to solve problems experienced in
a world of work impacted by increasing technology.
Adopted Materials
Title: AGS PreAlgebra
Author: Siegfried Haenisch
Edition: 2nd., 2004
Publisher AGS Publishing
ISBN: 0-7854-1451-7
Mathematics
Curriculum Map
Course overview, activities, vocabulary, supplemental materials in pdf format.
Copyright
Resources
Resource Materials
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)
Taylor, Harold and Loretta. Developing Skills in Algebra I Book C. Palo Alto,
Ca. Dale Seymour. 1984. (DS-D)
Course Scope for Semester 1
Course Scope for Semester 2
Assessment
Correlation acronyms key
Mathematics Curriculum Matrix K-12 pdf or Word
document
|
Unit
1 |
Whole Numbers |
Semester 1 |
|
Instructional Objective
0841.01 Understand and use positive and negative
numbers, fractions, decimals, percentages,
and scientific notation. |
Standard Reference |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify the place value of a given digit in
whole numbers from 0 to 100,000. |
Text Ch.2 |
TMA, EOC |
|
02 |
Round whole numbers of up to 1,000,000 |
Text Ch.2 |
TMA, EOC |
|
03 |
Find the sum of two or more whole numbers between
0 and 1,000,000 with or without regrouping |
Text Ch. 1 |
TMA, EOC |
|
04 |
Find the difference of two whole numbers between
0 and 1,000,000 with or without regrouping |
Text Ch. 1 |
TMA, EOC |
|
05 |
Find the product of a whole number of up to
six digits and a two-digit whole number. |
Text Ch. 1 |
TMA, EOC |
|
06 |
Find the quotient, with or without a remainder,
of a dividend of up to six digits and a two-digit
divisor. |
Text Ch. 1 |
TMA, EOC |
|
07 |
Estimate a reasonable sum, difference, product,
or quotient for a problem using whole numbers. |
Text Ch. 1 |
TMA, EOC |
|
Instructional Objective
0841.02 Understand and use positive and negative
numbers, fractions, decimals, percentages,
and scientific notation. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use the order of operations to simplify numerical
expressions |
Text Ch.5 |
TMA, EOC |
|
02 |
Explain and use the commutative, associative,
distributive, identity, and zero properties to
simplify numerical expressions. |
Text Ch. 3 |
TMA, EOC |
|
Instructional Objective
0841.03 Evaluate algebraic expressions. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Simplify algebraic expressions by combining
like terms |
Text Ch. 5 |
TMA, EOC |
|
02 |
Evaluate algebraic expressions by substituting |
Text Ch. 1 |
TMA, EOC |
|
03 |
Use addition or subtraction to solve linear
equations with positive integers. |
Text Ch. 5 |
TMA, EOC |
|
04 |
Use multiplication or division to solve linear
equations with positive integers. |
Text Ch. 5 |
TMA, EOC |
|
05 |
Solve linear equations with more than one step |
Text Ch. 5 |
TMA, EOC |
|
Instructional Objective
0841.04 Understand and use positive and negative
numbers, fractions, decimals, percentages,
and scientific notation. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Round a decimal to the nearest tenth, hundredth,
thousandth, or ten thousandth place. |
Text Ch. 2 |
TMA, EOC |
|
02 |
Find the sum or difference of decimal numbers |
Text Ch. 2 |
TMA, EOC |
|
03 |
Find the product or quotient of decimal numbers. |
Text Ch. 2 |
TMA, EOC |
|
04 |
Convert a number to scientific notation and
visa versa. |
Text Ch. 3 |
TMA, EOC |
|
Instructional Objective
0841.05 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Simplify and evaluate algebraic expressions
with decimals |
Text Ch. 2 |
TMA, EOC |
|
Instructional Objective
0841.06 Understand and use appropriate procedures
to solve polynomial equations. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve simple algebraic equations with decimals |
Text Ch. 2 |
TMA, EOC |
|
Instructional Objective
0841.07 Use number theory concepts (divisibility
rules, factors, multiples, primes) to solve
problems. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find the common factors and greatest common
factor of a group of whole numbers |
Text Ch. 3 |
TMA, EOC |
|
02 |
Find the common multiples and least common multiple
of a group of whole numbers |
Text Ch. 3 |
TMA, EOC |
|
03 |
Write the prime factorization of a standard
numeral using exponents. |
Text Ch. 3 |
TMA, EOC |
|
Back to Top |
|
Unit
4 |
Fractions and Mixed
Numbers |
Semester 1 |
|
Instructional Objective
0841.08 Understand and use positive and negative
numbers, fractions, decimals, percentages,
and scientific notation. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Write equivalent fractions and fractions in
lowest terms. |
Text Ch.4 |
TMA, EOC |
|
02 |
Convert decimals and fractions interchangeably. |
Text Ch. 6 |
TMA, EOC |
|
03 |
Add and subtract fractions and mixed numbers
with like denominators. |
Text Ch.4 |
TMA, EOC |
|
04 |
Add and subtract fractions and mixed numbers
with unlike denominators |
Text Ch. 4 |
TMA, EOC |
|
05 |
Multiply and divide fractions and mixed numbers. |
Text Ch. 4 |
TMA, EOC |
|
Instructional Objective
0841.09 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Evaluate algebraic expressions with fractions
and mixed numbers |
Text Ch. 5 |
TMA, EOC |
|
Instructional Objective
0841.10 Understand and use appropriate procedures
to solve linear equations |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve equations with fractions and mixed numbers
as coefficients. |
Text Ch. 5 |
TMA, EOC |
|
Instructional Objective
0841.11 Understand basic statistical concepts
including mean, median, mode, and range. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find mean, median, mode, minimum, maximum, and
range from a set of data. |
Text Ch. 12 |
TMA, EOC |
|
Back to Top |
|
Unit
5 |
Ratio, Proportion,
and Percent |
Semester 1 |
|
Instructional Objective
0841.12 Understand and use proportions, ratios,
and scaling |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Write a ratio |
Text Ch.6 |
TMA, EOC |
|
02 |
Solve a proportion |
Text Ch. 6 |
TMA, EOC |
|
03 |
Convert decimals, fractions, or percents interchangeably. |
Text Ch. 6 |
TMA, EOC |
|
04 |
Find the percent of a number |
Text Ch. 6 |
TMA, EOC |
|
05 |
Find what percent one number is of another. |
Text Ch. 6 |
TMA, EOC |
|
06 |
Find a number when a percent of it is known. |
Text Ch. 6 |
TMA, EOC |
|
07 |
Find a percent increase or decrease. |
Text Ch. 6 |
TMA, EOC |
|
Instructional Objective
0841.13 Understand and use positive and negative
numbers, fractions, decimals, percentages,
and scientific notation. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Add and subtract integers. |
Text Ch. 7 |
TMA, EOC |
|
02 |
Multiply and divide integers |
Text Ch. 7 |
TMA, EOC |
|
Instructional Objective
0841.14 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Simplify and evaluate algebraic expressions
with integers. |
Text Ch.5? |
TMA, EOC |
|
Instructional Objective
0841.15 Understand and use appropriate procedures
to solve linear equations and inequalities. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve linear equations with integers as coefficients. |
Text Ch.11 |
TMA, EOC |
|
02 |
Solve inequalities by using addition or subtraction. |
Text Ch. 11 |
TMA, EOC |
|
03 |
Solve inequalities by using multiplication or
division. |
Text Ch. 11 |
TMA, EOC |
|
Instructional Objective
0841.16 Understand concepts of the Cartesian
coordinate system. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Graph an ordered pair on the Cartesian coordinate
plane |
Text Ch. 12 |
TMA, EOC |
|
02 |
Graph linear equations with two variables |
Text Ch. 12 |
TMA, EOC |
|
03 |
Find a slope of a line given two points |
Text Ch. 12 |
TMA, EOC |
|
Instructional Objective
0841.17 Apply concepts of size, shape and
special relationship. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use appropriate vocabulary and symbols |
Text Ch. 9 |
TMA, EOC |
|
02 |
Describe and classify relationships between
one-,two-, three- dimensional figures, using
their defining properties |
Text Ch. 9 |
TMA, EOC |
|
03 |
Identify congruence, similarities, and line
symmetry of shapes |
Text Ch. 11 |
TMA, EOC |
|
Instructional Objective
0841.18 Apply the geometry of right triangles. |
Standard Reference
|
| |
No objectives at this grade level |
|
|
|
Back to Top |
|
Unit
9 |
Data Analysis, Probability
and Statistics |
Semester 2 |
|
Instructional Objective
0841.19 Understand Data Analysis. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use appropriate vocabulary and notations |
Text Ch.12 |
TMA, EOC |
|
02 |
Analyze and interpret tables, charts, and graphs,
including frequency tables, scatter plots, broken
line graphs, line plots, bar graphs, histograms,
circle graphs and stem and leaf plots. |
Text Ch. 12 |
TMA, EOC |
|
03 |
Explain and justify conclusions drawn from tables,
charts and graphs. |
Text Ch. 12 |
TMA, EOC |
|
Instructional Objective
0841.20 Collect, Organize and Display Data |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Collect organize and display data with appropriate
notation in tables, charts, and graphs, including
scatter plots, broken line graphs, line plots,
bar graphs, histograms, and stem and leaf plots |
Text Ch.12 |
TMA, EOC |
|
Instructional Objective
0841.21 Understand Data Analysis. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use appropriate vocabulary and notations |
Text Ch.12 |
TMA, EOC |
|
02 |
Analyze and interpret tables, charts, and graphs,
including frequency tables, scatter plots, broken
line graphs, line plots, bar graphs, histograms,
circle graphs and stem and leaf plots. |
Text Ch. 12 |
TMA, EOC |
|
03 |
Explain and justify conclusions drawn from tables,
charts and graphs. |
Text Ch. 12 |
TMA, EOC |
|
Instructional Objective
0841.22 Understand basic concepts of probability. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Recognize equally likely outcomes. |
Text Ch.12 |
TMA, EOC |
|
02 |
Use the language of probability. |
Text Ch. 12 |
TMA, EOC |
|
03 |
Use appropriate vocabulary and notations. |
Text Ch. 12 |
TMA, EOC |
Back to Top
|
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