Pre-Algebra
From Teach And Discover Wiki
Welcome to the Pre-Algebra course page. This is two-semester course in Introduction to Algebra. Below you will find the course outline, including the state required standards and benchmarks along with the topics and concepts to be covered during the year. You will also find the course text by following the links to each topic.
Pre-Algebra is a common name for a course in elementary mathematics. In the United States, it is typically taught between the seventh and ninth grades, although exceptionally mathematically gifted students have taken this course as early as fifth grade and sixth grade. The objective of Pre-Algebra is to prepare the student for the study of Algebra.
Pre-Algebra includes several broad subjects:
- Review of natural- and whole-number arithmetic
- Introduction of new types of numbers such as Integers, fractions, decimals and negative numbers.
- Factorization of natural numbers.
- Properties of operations (associative, distributive, commutative, and so on).
- Simple roots and powers.
- Rules of evaluation of expressions, such as operator precedence and use of parentheses.
- Basics of equations, including rules for invariant manipulation of equations.
- Variables and exponentiation.
Pre-algebra often includes some basic subjects from geometry, mostly the kinds that further understanding of algebra and show how it is used, such as area, volume, and perimeter.
The course syllabus can be accessed and downloaded here: Pre-Algebra Course Syllabus
Contents |
Course Outline
Below is the course outline for Pre-Algebra. This course follows the requirements from the state of Wyoming, outlined in the State Standards & Benchmarks. The numbers found to the right of each section tell which sections in the book match up with the sections covered in the course outline.
Prerequisites
Number Operations & Concepts
- Addition & Subtraction of Integers- (1.5 and 1.6)
- Multiplication & Division of Integers - (1.7)
- Order of Operations - (1.3)
- Greatest Common Factor - (4.2)
- Least Common Multiple - (4.4)
- Ratios & Proportions - (6.1 and 6.2)
- Fractions, Decimals, & Percents - (5.2 to 5.5 and 7.1 to 7.6)
- Roots, Powers, & Exponents - (1.2 and 4.5 to 4.7)
Algebra
- Properties of Algebra
- Combining Like Terms
- Evaluating Algebraic Expressions
- Solve Equations Using Addition & Subtraction
- Solve Equations Using Multiplication & Division
- Expressions & Formulas
- Solve Two-Step Equations
- The Coordinate Plane
- Intro to Linear Equations
- Slope of a Line
- Graphing Linear Equations
Geometry
- Lines & Angles
- Parallel & Perpendicular Lines
- Polygons & Circles
- Area & Perimeter/Circumference
- Prisms, Cylinders, Cones, & Pyramids
- Congruence & Similarity
- Transformations
- The Pythagorean Theorem
- Coordinate Geometry
Measurement
Data Analysis
- Mean, Median, & Mode
- Bar & Line Graphs
- Scatterplots & Trends
- Line Plots & Box-And-Whisker Plots
- Collecting, Organizing, and Representing Data
Probability
Projects
- Baloons & Linear Regression - Inflating baloons and fitting a linear, quadratic, or exponential line to the data.
- Polling Peers - Using SurveyMonkey to develop a survey to give to student peers and evaluate the data.
- Finding Π with Pizza - Students will measure actual circumference and diameter of pizzas and determine best buys.
- Stock Market Mark-It - Students will select a company they have an interest in and evaluate it over time.
- M&M's and Probability - Students will evaluate a pack of M&M's for colors content, and determine probabilities based on their data.
- Candy Box - Students will receive a box of candy and use it to find surface area and volume.
- Bottle Rocketry - Students will construct a bottle rocket out of common household items and a soda pop bottle and evaluate it's flight.
