In Pre-AP Algebra 1, students develop a deep understanding of linear relationships emphasizing patterns of change, multiple representations of functions and equations, modeling real world scenarios with functions, and methods for finding and representing solutions of equations and inequalities. Taken together, these ideas provide powerful conceptual tools that students can use to make sense of their world through mathematics.
Areas of Focus:
The Pre-AP mathematics areas of focus are aligned to the disciplinary practices that are fundamental to mathematics in high school, AP courses, and beyond. This gives students multiple opportunities to think and work like mathematicians as they develop and strengthen these disciplinary reasoning skills throughout their education:
· Connections among multiple representations: Students represent mathematical concepts in a variety of forms and move fluently among the forms.
· Greater authenticity of applications and modeling: Students create and use mathematical models to understand and explain authentic scenarios.
· Engagement in mathematical argumentation: Students use evidence to craft mathematical conjectures and prove or disprove them.
Unit Foundations:
These big ideas are addressed across all units:
· Patterns of change
· Representations
· Modeling with functions
· Solutions
Course at a Glance:
Pre-AP Algebra 1 has four main units.
· Unit 1: Linear Functions and Linear Equations (~9 weeks)
· Unit 2: Systems of Linear Equations and Inequalities (~5 weeks)
· Unit 3: Quadratic Functions (~9 weeks)
· Unit 4: Exponent Properties and Exponential Functions (~5 weeks)