Pre-Algebra
by Regina Heideman
August 23, 2004
Pre-Algebra
Instructors: Mr. Bruce Knaak and Mrs. Regina Heideman
Course Description:
Three themes are weaved-applied arithmetic, pre-algebra and
pre-geometry-by focusing on arithmetic operations, and the real
world. Variables are used as a pattern generalizes, abbreviations
in formulas, and unknowns in problems, and are represented on the
number line and coordinate plane. Basic arithmetic and algebraic
skills are connected to corresponding geometry topics.
Basic Text:
USCMP Transition Mathematics published by Scott, Foresman and
Company 1995
Instructional Units:
Chapter 1: Decimal Notation: This chapter deals with writing and
ordering decimals. The use of a scientific calculator is introduced
and used throughout the year. Chapter 2: Large and Small Numbers:
Four notations are introduced; exponential notation, scientific
notation with positive exponents, percents; and scientific notation
with negative exponents. Chapter 3: Measurement: Students work with
units of length, weight or mass, area, volume or capacity, and
angle measure. Units in both the customary system and metric system
are used. Chapter 4: Uses of Variables: Students begin the study of
algebra with two major ideas-the order of operations and variables.
Important skills with variables include translating from English to
variables and evaluating expressions. Chapter 5: Pattern Leading to
Addition: Many different ideas about addition are presented in this
chapter. Concepts covered are: adding positive and negative
integers and fractions, solving simple equations, properties of
addition, adding probabilities, and working with perimeter. Chapter
6: Problem-Solving Strategies: This chapter discusses both general
and specific problem strategies. Chapter 7: Patterns Leading to
Subtraction: Three models of subtraction are presented: the
take-away model, the slide model and the comparison model. Sentence
solving is also worked on. Chapter 8: Displays: Students will learn
to read and present information in different types of graphs.
Chapter 9: Patterns Leading to Multiplication: This chapter is
organized around three major models for multiplication: area, rate
factor, and size change. Chapter 10: Multiplication and Other
Operations: The first half of the chapter deals with solving
equations involving multiplication and the rest deals with area.
Chapter 11: Patterns Leading to Division: The chapter begins with
division of integers and then continues with division of fractions
and negative numbers. Proportions are also covered in this unit.
Chapter 12: Real Numbers, Area and Volume: The chapter focuses on
real numbers, area and volume. Chapter 13: Coordinate Graphs and
Equations: The chapter provides an Opportunity to review and extent
equation solving, measurement, formulas, probability and statistics
and the arithmetic of fractions and estimation.
