Applications in Algebra: Content and Standards

This page lists the Speak Agent Applications in Algebra full-year content modules and supported standards for each unit.

Applications in Algebra

Unit Key Learning Objectives CCSS Standards
Transitional Unit    
Unit 00A: Whole Numbers, Place Value, Fractions
  • Written numbers
  • Labeling place values and decimal operations
  • Relationships among fractions
  • Decimals and percentages
(Prior-year review.)
Unit 00B: Ratios & Conversion
  • Converting fractions and decimals.
  • Equivalent fractions.
  • Relationships among fractions, percentages, and ratios.
(Prior-year review.)
Unit 00C: Perimeter & Area of 2D Shapes
  • Finding the perimeter.
  • Finding the area.
(Prior-year review.)
Unit 1: Equivalent Expressions    
Unit 01A: Operations and Properties
  • Ways to write whole numbers and operations.
  • Applying the order of operations.
  • Equivalence of numerical expressions.
  • Properties of operations.
HSA.APR.A.1
Unit 01B: Interpreting and Evaluating Expressions
  • Properties of operations.
  • The distributive property.
  • Constants, coefficients, and variables.
  • Equivalent expressions.
  • Interpreting expressions.
  • Evaluating expressions.
HSA.SSE.B.4, HSA.SSE.A.1.A, HSA.SSE.A.1.B
Unit 01C: Translating English to Algebra
  • Translate verbal expressions into algebraic expressions.
  • Translate algebraic expressions into verbal expressions.
HSA.SSE.A.2
Unit 2: Functions    
Unit 02A: Defining and Evaluating Functions
  • Evaluate functions written in function notation.
  • Analyze graphs to identify function characteristics.
  • Explore relationships between variables.
  • Analyze graphs to quantify relationships.
HSA.SSE.B.3.A, HSA.SSE.B.3.B, HSA.SSE.B.3.C
Unit 02B: Graphing Linear Functions
  • Use ordered pairs to locate points and organize data.
  • Analyze ordered pairs, tables, and graphs to determine if relations are functions.
HSA.REI.D.12
Unit 3: Solving Equations and Inequalities    
Unit 03A: Equations and Inequalities
  • Create equations with one variable to model problems.
  • Understand how inequalities with one variable can be represented on a number line.
  • Explain the steps to solving an equation and an inequality.
HSA.CED.A.1, HSA.CED.A.3, HSA.REI.B.3, HSA.REI.D.12
Unit 03B: Solving Equations and Inequalities
  • Use inverse operations to solve one- and two-step linear equations and inequalities.
  • Solve linear equations with decimals and fractions.
  • Use the distributive property to solve equations with a variable.
  • Combine like terms.
  • Solve equations with variables on both sides.
HSA.REI.B.3
Unit 03C: Linear Systems
  • Determine whether an equation has one solution, no solution, or infinitely many solutions.
  • Explain steps to solve an equation or inequality.
HSA.REI.C.6, HSA.REI.C.7, HSA.REI.C.8, HSA.REI.D.12
Unit 4: Linear Functions and Equations    
Unit 04A: Linear Functions
  • Find the intercepts on graphs of linear equations.
  • Interact with equations in slope-intercept form.
HSA.REI.B.3, HSA.REI.C.6, HSA.REI.C.7, HSA.REI.C.8, HSA.REI.C.9, HSA.CED.A.1, HSA.REI.D.11
Unit 04B: Linear Equations
  • Use the slope formula for rates of change.
  • Interact with equations in slope-intercept form.
  • Create equations that model linear relationships between two quantities.
  • Determine if lines are parallel, perpendicular, or intersecting.
HSA.REI.B.3, HSA.REI.C.6, HSA.REI.C.7, HSA.REI.C.8, HSA.REI.C.9
Unit 04C: Correlations
  • Work with scatter plots.
  • Understand the process of determining the line of best fit and how it may apply to real-life situations.
HSS.ID.C.9
Unit 04D: Point-Slope Form
  • Use x- and y-intercepts to graph equations in standard form.
  • Use the slope and a point of a line to write and graph equations in point-slope form.
8.EE.B.5, 8.EE.B.6, 8.F.A.3
Unit 5: Data Analysis    
Unit 05A: Measures of Central Tendency * Find the mean, median, and mode.
* Use measures of central tendency to analyze data.
HSS.ID.A.2
Unit 05B: Representing Data * Use box-and-whisker plots.
* Use stem-and-leaf plots.
* Use line and dot plots.
* Understand how each type of plotting can be used to analyze data and make informed decisions.
HSS.ID.A.3