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SYLLABUS
Foundations of Pre-Algebra
INSTRUCTOR: __________________________ SCHOOL YEAR: ________ TIME: _________ COURSE NUMBER: 479
COURSE DESCRIPTION
This course is designed for students who enter high school eligible for Special Education placement. It will provide high school student with the
foundation necessary for success in future courses in Algebra and Geometry. Areas of study include the fundamentals of Algebra, integers,
rational and real numbers, factors, ratio and proportion, linear equations and inequalities, and probability and statistics. Use of calculators is
encouraged throughout the course, while at the same time emphasis is placed on the improvement of non-calculator computational skills.
EXPECTIONS
FROM
STUDENTS:
1.
2.
3.
4.
Understand and use integer and rational number arithmetic, ratios, and proportions.
Apply arithmetic and algebraic concepts to the solution of real-life problems.
Understand and use the basic concepts of data manipulation, charts and graphs.
Understand that technology is a valuable tool to help solve problems.
CREDIT:
1 credit
LEVEL:
9 – Essential
PREREQUISITES: Eligibility for Special Education placement.
AREAS OF STUDY
1
2
3
4
First Semester
The Tools of Algebra
Integers
Equations
Factors and Fractions
5
6
7
12
Second Semester
Rational Numbers-Fractions
Ratio, Proportion and Percent
Equations and Inequalities
Statistics and Probability
1
TIMELINES
Foundations of Pre-Algebra
First Semester
Suggested Timelines
Chapter 1
1.1
1.2
1.3
1.5
Chapter 4
15 days
4.1
4.2
4.3
4.4
4.5
4.8
Integers
Factors and Fractions
15 days
Factors and Monomials
Powers and Exponents
Prime Factorization
Greatest Common Factor
Simplifying Algebraic Fractions
Scientific Notation
Integers and Absolute Value
Adding Integers
Subtracting Integers
Multiplying Integers
Dividing Integers
Squares and Square Roots
Ordered Pairs and Relations
The Coordinate System
Chapter 3
3.1
3.2
3.3
3.4
3.5
3.6
3.7
13 days
Using a Problem Solving Plan
Numbers and Expressions
Variables and Expressions
Variables and Equations
Chapter 2
2.1
2.2
2.3
2.4
2.5
9.1
1.6
2.6
The Tools of Algebra
Suggested Timelines
Equations
The Distributive Property
Simplifying Algebraic Expressions
Solving Equations by Adding or Subtracting
Solving Equations by Multiplying or Dividing
Solving Two-Step Equations
Writing Two-Step Equations
Using Formulas
14 days
Successmaker Training Days
Number of Teaching Days
Review for Semester Exam
Miscellaneous Days:
School Improvement, Assembly, Institute, Stand. Testing
13 days
56 days
4 days
7 days
______
2
TIMELINES
Foundations of Pre-Algebra
Second Semester
Chapter 5
Rational Numbers
Suggested Timelines
19 days
Suggested Timelines
Chapter 12
5.1
5.2
5.3
5.4
5.5
5.6
5.7
5.9
Writing Fractions as Decimals
Rational Numbers
Multiplying Rational Numbers
Dividing Rational Numbers
Adding and Subtracting Like Fractions
Least Common Multiple
Adding and Subtracting Unlike Fractions
Solving Equations with Rational Numbers
Chapter 6
6.1
6.2
6.3
6.4
6.5
6.7
Equations and Inequalities
Solving Equations with Variables on Each Side
Solving Equations with Grouping Symbols
Inequalities
Solving Inequalities by Adding or Subtracting
Solving Inequalities by Multiplying or Dividing
13 days
Measures of Central Tendency
Probability and Predictions
Scatter Plots
Stem-and-Leaf Plots
Measures of Variations
Histograms
Misleading Statistics
Odds
17 days
Ratios and Rates
Using Proportions
Scale Drawings and Models
Fractions, Decimals, and Percents
Using the Percent Proportion
Using Percent Equations
Chapter 7
7.1
7.2
7.3
7.4
7.5
Ratio, Proportion, and Percent
5.8
6.8
1.7
12.1
12.2
12.4
12.5
12.8
More Statistics and Probability
Optional
Chapter 8-Slope
Estimating Percent Mentally
Perimeter and Area of Rectangles
Area of Parallelograms and Triangles
Pythagorean Theorem
Area of Circles and Circumference
Box and Whisker Plots
13 days
Successmaker Training
Number of Teaching Days
Review for Semester Exam
Miscellaneous Days:
School Improvement, Assembly, Institute,
Stand. Testing Review, Stand. Testing
16 days
62 days
5 days
10 days
______
3
MATHEMATICS DEPARTMENT CURRICULUM
PreAlgebra
GENERAL OUTCOMES:
NUMBER SENSE
5.2.1.1
TLW use and apply the concepts of arithmetic, order of operations, properties of real numbers, signed numbers,
exponential & scientific notation.
5.2.2.1
TLW use and apply the concepts of ratios, proportions, percents and dimensional analysis.
5.2.3.1
TLW compute using multiple approaches, estimation, approximations, and exact values.
5.2.4.1
TLW use arithmetic to solve real-life problems.
MEASUREMENT
5.3.1.1
TLW perform actual, estimated and computed measurements including angles, complementary and supplementary.
5.3.2.2
TLW understand, make, and use scale drawings, maps, globes, and blueprints.
5.3.3.1
TLW use formulas such as Pythagoras, area, perimeter, volume and conversions within a measurement system.
ALGEBRA
5.4.1.1
5.4.2.1
5.4.3.2
5.7.1.1
DATA
5.6.1.1
5.6.2.1
5.6.3.1
TLW describe mathematical relationships and patterns, simplify expressions, and use order of operations as it applies to
Algebra.
TLW use and apply multiple representations of algebraic functions.
TLW use and apply linear and quadratic equations, inequalities and systems of equations.
TLW apply algebraic concepts and procedures to the solution of application problems from consumer situations.
TLW construct, analyze and/or draw conclusions.
TLW apply concepts of statistics including mean, median, mode, range, variance and standard deviation to solution or
theoretical and/or real-life problems.
TLW apply concepts of probability to solve theoretical and/or real-life problems.
WRITTEN:
UPDATED:
TEXTBOOK:
Summer, 2003
Summer, 2010
Pre-Algebra, Glencoe, 2003
BY:
BY:
K Carlsen, J Canning, G Charnley
4