Prerequisites: Open to all students
Level: 9 th grade
Credits: 1.0 - Mathematics
Additional: This course is accepted as a math credit for h.s. graduation
This course is accepted as a math credit for college admission
This course is accepted as a math credit by the NCAA
Course Description
The course introduces and expounds upon basic concepts dealing with graphs, variables, expressions and equations. Linear equations, inequalities and functions will be studied individually and within systems. The real number system and absolute value will also be an integral component to the subject. All of these concepts will also be utilized through problem solving.
Course Objectives
- Students will be able to collect and organize data in tables and compare and predict conclusions based on data.
- Students will demonstrated and apply their knowledge of order of operations with expressions and equations through problems solving.
- Students will know and apply algebraic methods to formulate and solve problems.
- Students will be able to operate the Accel-Scan scanner to grade Accelerated Math
Course Outline
1
. Data and Graphs
- Collecting data
- Use variables to represent data
- Graphing with data
- Use data to interpret and predict
- Use matrices for data
- Mean, median and mode
- Experimental probability
- Data project
2. Variables, Expressions, and Real Numbers
- Represent numbers, variables and expressions with Algeblocks
- Variables and expressions
- Real numbers and the number line
- Addition, subtractions and zero pairs with Algeblocks
- Additions an subtraction of real numbers
- Multiplication and division of real numbers
- The distributive property
3. Linear Equations
- Solve equations with mental math and estimation
- Solve linear equations with Algeblocks
- Solve equations with addition, subtraction, multiplication and division
- Proportion, percent and equations
- Solve equations using two or more operations
- Solve equations with variable on both sides
- Use literal equations and formulas
4. Functions and Graphs
- Pared data
- Relations and functions
- The coordinate plane and graphs of functions
- Linear functions
- Graphing Utilities
- Nonlinear functions
- Solve equations by graphing
- Explore statistics
5. Linear Inequalities
- Inequalities on the number line
- Solve inequalities using one operation
- Solve inequalities using two or more operations
- Solve compound inequalities
- Inequalities from box plots
6.Linear Functions and Graphs
- Relationships of lines
- The slope of a line
- Slope-intercept form: Parallel and perpendicular lines
- Point-slope form
- Standard form
- Direct Variation
7. Systems of Linear Equations
- Explore systems of linear equations
- Use graphs to solve systems of linear equations
- Solve linear systems by substitution and elimination
- Special systems of equations
- Determinants of systems
8. Systems of Linear Inequalities
- Graph linear inequalities in two variables
- Solve systems of linear inequalities by graphing
- Use graphing utilities to solve systems of inequalities
- Linear programming
- Use linear programming review problem solving strategies
- Theoretical probability
9. Absolute Value and the Real Number System
- Absolute value
- Graph absolute value functions
- Absolute value equations and inequalities
- The real number system
- Properties of equality
10. Quadratic Functions and Equations
- Explore quadratic functions
- Graphs of quadratic functions
- Solve quadratic equations by graphing and using square roots
- The quadratic formula
Teaching Methods
This class is taught through lecture, projects and group and peer learning.
Assessment
- Participation in everyday classroom activities.
- Chapter exams, quizzes and daily homework assignments.
- Cooperative learning situations evaluated during and after completion of the project.
- Oral presentation involving student demonstrating direct instruction of concept and guided practice.
- Renaissance Learning Web-Based Software Practice and Tests
Text
South-Western Algebra I: An Integrated Approach , South-Western Educational Publishing, 1998
Supplemental Program
Renaissance Learning Web-Based Software, 2000-2006
Enrichment
Enrichment exercises are administered through individual worksheets.