## Overview

Pre-AP Algebra 1 focuses deeply on the concepts and skills that are most essential for college and career success. Therefore, mastery of linear relationships is a major focus of this course.

Linear equations and functions are the basic building blocks of many advanced topics in math. Pre-AP Algebra 1 is streamlined to give students the time and space to thoroughly master these concepts and skills.

The course emphasizes these essential practices for building math muscle and confidence:

- Building conceptual understanding
- Building procedural fluency
- Using and making mathematical models
- Crafting mathematical arguments

In Pre-AP Algebra 1, students will:

- Work with their peers to build math knowledge, persevering through challenges and making important conceptual connections.
- Use authentic applications of math to solve real-world problems.
- Acquire the tools needed for making, testing, refuting, and supporting mathematical arguments.

## Instructional Shifts

The Pre-AP Algebra 1 instructional resources focus on the following key instructional shifts:

- Emphasis on
**linear equations and linear functions:**Students develop deep and robust understanding of linear relationships in procedural, conceptual, and applied settings. - Focus on
**authentic applications:**Students employ mathematics to model and explain authentic scenarios. - Concentration on creating
**mathematical arguments:**Students use evidence to craft mathematical conjectures and prove or disprove them.

## Course at a Glance

The tabs below show the four main units in Pre-AP Algebra 1, the recommended length for each unit, and the key topics in each.

Linear Relationships / Nonlinear Relationships

**Unit title:** Linear Equations and Functions

**Timeframe:** 9 weeks

**Key topics:**

- Slope and rate of change
- Linear functions
- Graphs of lines
- Linear equations
- Scatterplots and lines of best fit
- Function notation
- Linear inequalities

**Unit title:** Systems of Linear Equations and Inequalities

**Timeframe:** 5 weeks

**Key topics:**

- Solving systems of linear equations graphically, with a table of values, and algebraically
- Modeling with systems of linear equations
- Solving systems of linear inequalities graphically
- Modeling with systems of linear inequalities

**Unit title:** Quadratic Equations and Functions

**Timeframe:** 9 weeks

**Key topics:**

- Building quadratic expressions from linear expressions
- Modeling with quadratic functions
- Graphing quadratic functions
- Writing equations for quadratics
- Solving quadratic equations graphically
- Solving quadratic equations algebraically

**Unit title:** Exponents and Exponential Functions

**Timeframe:** 5 weeks

**Key topics:**

- Exponent rules
- Geometric sequences
- Exponential growth and decay
- Modeling with exponential functions
- Roots of real numbers

### Underlying Unit Foundations

These big ideas are addressed across units:

- The structure of real numbers
- Functions
- Linear functions
- Quadratic functions
- Solutions

### Instructional Resources

- A course framework and targeted lessons for key topics within each unit provide teacher support and student scaffolding for implementing the instructional shifts and shared routines.
- Local school and district materials can be used alongside these supporting lessons during the rest of the unit with continued infusion of instructional shifts and shared routines.
- Units include recommendations for targeted Khan Academy practice to support students in building foundational skills across the units.

### Assessments and Feedback

Each unit contains:

- Assessments: Short, digital formative quizzes, or learning checkpoints, offer opportunities for actionable feedback within each unit.
- A performance task (assignment): This performance-based task is scored by the teacher. It features a multistep real-world problem that builds readiness for free-response questions on the AP Exam.