Camden Hills Regional High School

Home of the Windjammers

Algebra I part 1
Math
 
Description:

This is a full-year class that covers the first half of the content of Algebra I.  The class is designed to give students more time to understand and learn the abstract concepts of Algebra I.  Students will learn to work with variable expressions and patterns as well as solve linear equations.  Homework will be given.

 

 
Outcomes:

CCSS Standards Assessed  (***Graduation Requirement)

***A.SSE.1.a      Interpret parts of an expression, such as terms, factors, and coefficients.

  1. Variables and Expressions

Vocabulary

Writing Expressions with multiple operations from phrases

Writing Phrases from Expressions

Writing a Rule to describe a pattern

N.RN.3             Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and irrational number is irrational…

  1.  Order of Operations and Evaluating Expressions

Exponents

Order of Operations

Evaluating/Interpreting Expressions

  1. Real Numbers and the Number Line

Analyze/Simplify radicals

Classify, compare, and graph real numbers

  1. Properties of Real Numbers

Identify and Use properties of real numbers

Operations with Real Numbers

Distributive Property

A.CED.1  Create equations…in one variable and use them to solve problems.  Include equations arising from linear…functions.

  1. Solving equations

Solving one-step equations

Solving two-step equations

Solving multi-step equations 

A.CED.4   Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations…

A.REI.3  Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. 

  1. Literal Equations and Formulas

Rewriting and Using literal equations and formulas

  1. Solving Proportions

Proportions and Similar Figures

Percents as Proportions

  1. Solving Inequalities

Write, graph, and identify solutions to inequalities

Sets and Set Theory 

 F.IF.1  Understand that a function from one set…to another set…assigns to each element of the domain exactly one element of the range…

  1. Relations Vs. Functions

Identifying Functions in their Varying Forms

Linear and Non Linear Functions 

F.IF.5  Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes…

  1. Graphing and Interpreting Functions

Graphing a Function Rule (Linear and Non-linear)

Continuous Vs. Discreet          

 F.LE.1  Recognize situations in which on e quantity changes at a constant rate per unit interval relative to another.

  1. Finding rate of change/slope of a linear relationship

Finding/interpreting slope of line

Finding slope from chart

Finding slope from coordinates

A.CED.2  Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate plane… 

  1. Direct and Inverse Variation

Interpreting, solving and graphing direct and inverse relationships. 

F.IF.7 (Introduction (non mastery)) Graph linear…functions and show intercepts….

F.LE.2  Construct linear…functions…given a graph, a description of a relationship, or two input-output pairs…

  1. Writing/Graphing Forms of Linear Equations

Slope Intercept Form

Point-Slope Form

Standard Form