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 1. Understand and use integer and rational number arithmetic, ratios, and proportions.
FROM 2. Apply arithmetic and algebraic concepts to the solution of real-life problems.
STUDENTS: 3. Understand and use the basic concepts of data manipulation, charts and graphs.
4. 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
First Semester Second Semester
1 The Tools of Algebra 5 Rational Numbers-Fractions
2 Integers 6 Ratio, Proportion and Percent
3 Equations 7 Equations and Inequalities
4 Factors and Fractions 12 Statistics and Probability
TIMELINES
Foundations of Pre-Algebra
First Semester
3
Suggested Timelines
Chapter 1 The Tools of Algebra 13 days
1.1 Using a Problem Solving Plan
1.2 Numbers and Expressions
1.3 Variables and Expressions
1.5 Variables and Equations
Chapter 2 Integers 15 days
2.1 Integers and Absolute Value
2.2 Adding Integers
2.3 Subtracting Integers
2.4 Multiplying Integers
2.5 Dividing Integers
9.1 Squares and Square Roots
1.6 Ordered Pairs and Relations
2.6 The Coordinate System
Chapter 3 Equations 14 days
3.1 The Distributive Property
3.2 Simplifying Algebraic Expressions
3.3 Solving Equations by Adding or Subtracting
3.4 Solving Equations by Multiplying or Dividing
3.5 Solving Two-Step Equations
3.6 Writing Two-Step Equations
3.7 Using Formulas
Suggested Timelines
Chapter 4 Factors and Fractions 15 days
4.1 Factors and Monomials
4.2 Powers and Exponents
4.3 Prime Factorization
4.4 Greatest Common Factor
4.5 Simplifying Algebraic Fractions
4.8 Scientific Notation
Successmaker Training Days 13 days
Number of Teaching Days 56 days
Review for Semester Exam 4 days
Miscellaneous Days: 7 days
School Improvement, Assembly, Institute, Stand. Testing ______
3
3
TIMELINES
Foundations of Pre-Algebra
Second Semester
3
3
Suggested Timelines
Chapter 5 Rational Numbers 19 days
5.1 Writing Fractions as Decimals
5.2 Rational Numbers
5.3 Multiplying Rational Numbers
5.4 Dividing Rational Numbers
5.5 Adding and Subtracting Like Fractions
5.6 Least Common Multiple
5.7 Adding and Subtracting Unlike Fractions
5.9 Solving Equations with Rational Numbers
Chapter 6 Ratio, Proportion, and Percent 17 days
6.1 Ratios and Rates
6.2 Using Proportions
6.3 Scale Drawings and Models
6.4 Fractions, Decimals, and Percents
6.5 Using the Percent Proportion
6.7 Using Percent Equations
Chapter 7 Equations and Inequalities 13 days
7.1 Solving Equations with Variables on Each Side
7.2 Solving Equations with Grouping Symbols
7.3 Inequalities
7.4 Solving Inequalities by Adding or Subtracting
7.5 Solving Inequalities by Multiplying or Dividing
Suggested Timelines
Chapter 12 More Statistics and Probability 13 days
5.8 Measures of Central Tendency
6.8 Probability and Predictions
1.7 Scatter Plots
12.1 Stem-and-Leaf Plots
12.2 Measures of Variations
12.4 Histograms
12.5 Misleading Statistics
12.8 Odds
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
Successmaker Training 16 days
Number of Teaching Days 62 days
Review for Semester Exam 5 days Miscellaneous Days:
School Improvement, Assembly, Institute, 10 days
Stand. Testing Review, Stand. Testing ______
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 TLW describe mathematical relationships and patterns, simplify expressions, and use order of operations as it applies to Algebra.
5.4.2.1 TLW use and apply multiple representations of algebraic functions.
5.4.3.2 TLW use and apply linear and quadratic equations, inequalities and systems of equations.
5.7.1.1 TLW apply algebraic concepts and procedures to the solution of application problems from consumer situations.
DATA
5.6.1.1 TLW construct, analyze and/or draw conclusions.
5.6.2.1 TLW apply concepts of statistics including mean, median, mode, range, variance and standard deviation to solution or
theoretical and/or real-life problems.
5.6.3.1 TLW apply concepts of probability to solve theoretical and/or real-life problems.
WRITTEN: Summer, 2003 BY:
UPDATED: Summer, 2010 BY: K Carlsen, J Canning, G Charnley
TEXTBOOK: Pre-Algebra, Glencoe, 2003
3