Algebra+1

Relationships Between Quantities and Reasoning with Equations ||  || * Interpret the structure of expressions
 * **Units** || Essential Questions || **Includes Standards Clusters** || **Mathematical Practice** **Standards** || Assesments ||
 * **Unit 1**
 * Reason quantitatively and use units to solve problems
 * Create equations that describe numbers or relationships
 * Understand solving equations as a process of reasoning and explain the reasoning
 * Solve equations and inequalities in one variable

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 * **Unit 2**

Linear and Exponential Relationships ||  || * Extend the properties of exponents to rational exponents
 * Analyze and solve linear equations and pairs of simultaneous linear equations
 * Solve systems of equations
 * Represent and solve equations/inequalities graphically
 * Define, evaluate, and compare functions
 * Understand the concept of a function and use function notation
 * Use functions to model relationships between quantities
 * Interpret functions that arise in applications
 * Analyze functions using different representations
 * Build a function that models a relationship between two quantities
 * Build new functions from existing functions
 * Construct and compare linear, quadratic and exponential models and solve problems
 * Interpret expressions for functions in terms of the situation they model || **Make sense of problems and persevere**
 * in 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** ||  ||
 * **Unit 3**

Descriptive Statistics ||  || * Summarize, represent, and interpret data on a single count or measurement variable
 * Investigate patterns of association in bivariate data
 * Summarize, represent, and interpret data on two categorical and quantitative variables
 * Interpret linear models ||  ||   ||
 * **Unit 4**

Expressions and Equations ||  || * Interpret the structure of expressions
 * Write expressions in equivalent forms to solve problems
 * Perform arithmetic operations on polynomials
 * Create equations that describe numbers or relationships
 * Solve equations and inequalities in one variable
 * Solve systems of equations ||  ||   ||
 * **Unit 5**

Quadratic Functions and Modeling ||  || * Use properties of rational and irrational numbers
 * Understand and apply the Pythagorean Theorem
 * Analyze functions using different representations
 * Build new functions from existing functions
 * Build a function that models a relationship between two quantitiesv ||  ||   ||