## ALGEBRA 1 OVERVIEW

Number and Quantity
The Real Number System
• Extend the properties of exponents
• Use properties of rational and irrational numbers

Quantities

• Reason quantitatively and use units to solve problems

Algebra
Seeing Structure in Expressions

• Interpret the structure of expressions
• Write expressions in equivalent forms to solve problems

Arithmetic with Polynomials and Rational Expressions

• Perform arithmetic operations on polynomials

Creating Equations

• Create equations that describe numbers or relationships

Reasoning with Equations and Inequalities

• Understand solving equations as a process of reasoning and explain the reasoning
• Solve equations and inequalities in one variable
• Solve systems of equations
• Represent and solve equations and inequalities graphically

Functions
Interpreting Functions

• Understand the concept of a function and use function notation
• Interpret functions that arise in applications in terms of the context
• Analyze functions using different representations.

Building Functions

• Build a function that models a relationship between two quantities
• Build new functions using different representations.

Linear, Quadratic, and Exponential Models

• Construct and compare linear, quadratic, and exponential models and solve problems
• Interpret expressions for functions in terms of the situation they model

Statistics and Probability
Interpreting Categorical and Quantitative Data

• Summarize, represent, and interpret data on a single count or measurement variable
• Summarize, represent, and interpret data on two categorical and quantitative variables
• Interpret linear models.
 Mathematical Practices Make sense of problems and persevere in problem solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning.

## Semesters at a Glance

#### Semester 2 (16 weeks)

 Unit 1: Welcome to Algebra 1 Inspiring Math Week - Stanford's You Cubed and games and vocubulary from Ch 1 Mathematical Practices and Expectations (1.5 weeks) Unit 2: Expressions and Equations (3 weeks) Unit 3: Graphs and Understanding Functions (5 weeks)Unit 4: Lines-Linear Functions and Systems (5.5 weeks) Unit 5: Functions (4 weeks) Unit 6: Exponents and Radicals (4 weeks) (growth and decay from CMP3 Growing, Growing, Growing) Unit 7: Polynomial Expressions and Functions (4 weeks)Unit 8: Quadratic Equations and Functions (4 weeks)

### Algebra 1 Overview

 ALG I Guide Overview Alg I 1-pg math guide Alg 1 Detailed Curriculum Guide (password protected) Standards for Mathematical Practice in Action Algebra 1 Critical Key Ideas Algebra 1 Course Descriptions Algebra 1 Mathematics Framework Algebra 1 High Level Standards

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