River Valley School District Curriculum

Course name:  Algebra 1A- 0235

Credit(s) or Grade Level: 9th Grade

Academic Standards: Attached Link

Prerequisite(s): Ideally successful mastery of 8th Grade Standards

Course Description:

This course will provide students with the proper foundation for higher mathematics. It is extended over a two-year time period to help students who need more time to learn the mathematical concepts covered in Algebra I. Algebra 1A/1B is equivalent to Algebra 1. The course will include the study of the real number system and its properties, systematic methods of solving equations and inequalities in one variable, proportions and probability, and linear equations. It is a prerequisite for Algebra IB. Calculators will be allowed when appropriate.

Units:

Duration:

Essential Learning/Outcomes:

Review of key skills to be successful for Algebra 1.

1: Foundations for Algebra skills.

2 Weeks

• Variables, expressions, PEMDAS
• 1-D graphing
• Real Number properties
• Adding, subtracting, multiplying and dividing real numbers.
• Distributive property
• Connections between patterns, equations and graphs that represent situations.

2: Solving Linear Equations

3 Weeks

• One-step equations +,-,*, /
• Two-step equations
• Multi-step equations
• Distributive and both side of the equations
• Ratios, rates and conversions
• Setting up and solving proportions
• Creating a proportion from similar figures
• Understanding percents, fractions, decimals
• Increase and decrease changes and the percentages associated with them.

3: Solving Inequalities

3: Solving Inequalities (continued…)

3 Weeks

• Solving inequalities
• Graphing inequalities 1-D
• Applying the rules of solving inequalities using +,-,*, /
• Solving multi-step inequalities
• Solving and graphing compound inequalities
• Solving and graphing absolute value equations and inequalities
• Basic understanding of sets, unions, and intersections

4: Introduction to Functions

1 Week

• Patterns and linear functions
• Patterns and nonlinear functions
• Arithmetic sequences

5: Linear Functions

3 Weeks

• Slope and rate of change
• Slope-intercept form
• Point-slope form
• Standard form
• Parallel and perpendicular lines
• Scatter plots and trend lines
• Graphing absolute value functions

6: Systems of equations and inequalities

4 weeks

• Solving systems by graphing
• Solving systems using substitution
• Solving systems using elimination
• Applications of linear systems
• Linear inequalities
• Systems of linear inequalities Graphing the common area

7: Exponents and Exponential functions

3 Weeks

• Zero and negative exponents
• Same base, add rule
• Power to a power, multiply  rule
• Division rules
• Mixture off the rules
• Rational exponents and Radicals
• Exponential functions
• Exponential growth and decay formulas
• Geometric sequences