ALGEBRA I

Concept Development

Basics

Writing variable expressions

Order of operations

Evaluating expressions

Number sets

Adding rational numbers

Adding and subtracting rational numbers

Multiplying and dividing rational numbers

The distributive property

Combining like terms

Percent of change

Equations

One-step equations

Two-step equations

Multi-step equations

Absolute value equations

Radical equations  

Rational equations 

Solving proportions

Percent problems

Distance-rate-time word problems

Mixture word problems

Work word problems

Literal Equations 

Inequalities

Graphing one-variable inequalities

One-step inequalities

Two-step inequalities

Multi-step inequalities

Compound inequalities

Absolute value inequalities

Linear Equations and Inequalities

Finding slope from a graph

Finding slope from two points

Finding slope from an equation

Graphing lines using slope-intercept form

Graphing lines using standard form

Writing linear equations

Graphing absolute value equations

Graphing linear inequalities 

Exponents

Exponential functions and graphs

Properties of exponents  

Writing numbers in scientific notation

Operations with scientific notation

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Polynomials

Naming polynomials

Adding and subtracting polynomials

Multiplying polynomials

Multiplying special case polynomials

Factoring quadratic polynomials  

Factoring special case polynomials

Factoring by grouping

Dividing polynomials 

Systems of Equations and Inequalities

Solving systems of equations by graphing

Solving systems of equations by elimination

Solving systems of equations by substitution

Systems of equations word problems

Graphing systems of inequalities

Radical Expressions

Simplifying radicals

Adding and subtracting radical expressions

Multiplying radicals

Dividing radicals

Using the distance formula

Using the midpoint formula

Solving radical equations 

Quadratic Functions

Graphing quadratic functions

Graphing quadratic inequalities

Completing the square

 Solving quadratic equations

   -by taking square roots

   -by factoring

   -with the quadratic formula

   -by completing the square

Rational Expressions

Simplifying rational expressions

Finding excluded values / restricted values

Multiplying rational expressions

Dividing rational expressions

Dividing polynomials

Adding and subtracting rational expressions

Solving rational equations  

Trigonometry

Finding trig. ratios

Finding angles of triangles

Finding side lengths of triangles

Word Problems

Distance-rate-time word problems

Mixture word problems

Work word problems

Systems of equations word problems

Statistics

Visualizing data

Center and spread of data

Scatter plots

Using statistical models

Content Practice

NUMBERS, OPERATIONS AND PROPERTIES
Identifying Properties  

EXPRESSIONS AND EQUATIONS
Dependent and Independent Variables  
Modeling Expressions  
Solving Linear Equations  
Modeling Linear Equations  
Transforming Formulas  

RATE
Conversions  
Using Rate  
Speed  
Rate of Change  

LINEAR EQUATIONS
Modeling Linear Functions 
Graphing Linear Functions 
Writing Linear Equations  

INEQUALITIES
Solving Linear Inequalities  
Interpreting Solutions  
Modeling Linear Inequalities 
Graphing Linear Inequalities  

ABSOLUTE VALUE
Graphing Absolute Value Functions  

QUADRATICS
Solving Quadratics  
Using the Discriminant  
Modeling Quadratics  
Geometric Applications of Quadratics  
Vertex Form of a Quadratic  
Graphing Quadratic Functions  

POWERS
Modeling Exponential Functions  
Graphing Exponential Functions  

POLYNOMIALS
Identifying Solutions  
Operations with Polynomials  
Factoring Polynomials  
Factoring the Difference of Perfect Squares  
Zeros of Polynomials  
Graphing Polynomial Functions  

RADICALS  
Operations with Radicals  
Graphing Root Functions 

SYSTEMS
Solving Linear Systems  
Modeling Linear Systems  
Graphing Linear Systems  
Modeling Systems of Linear Inequalities 
Graphing Systems of Linear Inequalities  
Quadratic-Linear Systems  
Other Systems  

FUNCTIONS
Defining Functions  
Functional Notation  
Evaluating Functions  
Domain and Range  
Operations with Functions  
Families of Functions  
Transformations with Functions  
Comparing Functions  
Relating Graphs to Events  
Graphing Piecewise-Defined Functions  
Graphing Step Functions  

SEQUENCES AND SERIES
Sequences  

GRAPHS AND STATISTICS
Central Tendency and Dispersion  
Frequency Tables  
Frequency Histograms  
Box Plots 
Dot Plots  
Scatter Plots  
Analysis of Data  
Regression  
Correlation Coefficient  
Residuals