2011-2012 MATHia Software Units
Course 1
Module 01: Multiples and Factors
Unit 01: Least Common Multiple
– Calculating LCM of Two Numbers
– Calculating LCM in Real-World Problems
Unit 02: Greatest Common Factor
– Calculating GCF of Two Numbers
– Calculating GCF in Real-World Problems
Module 02: Fractions and Decimals
Unit 01: Fraction Representations
– Creating Part-to-Whole Models from Fractions
– Creating Number Line Models from Fractions
Unit 02: Equivalent Fractions
– Writing Equivalent Fractions using Part-to-Whole Models
– Writing Equivalent Fractions using Number Line Models
– Writing Simplified Fractions using Part-to-Whole Models
– Writing Simplified Fractions using Number Line Models
– Comparing Fractions using Part-to-Whole Models
– Comparing Fractions using Symbols
Unit 03: Fraction Addition and Subtraction
– Using Part-to-Whole Models with Like Denominator Fractions
– Using Number Lines with Like Denominator Fractions
– Using Part-to-Whole Models with Unlike Denominator Fractions
– Using Number Lines with Unlike Denominator Fractions
– Using the Solver with Unlike Denominator Fractions
Unit 04: Mixed Numbers and Improper Fractions
– Converting Mixed Numbers to Improper Fractions
– Converting Improper Fractions to Mixed Numbers
Unit 05: Mixed Number Addition and Subtraction
– Adding and Subtracting with Like Denominators
– Adding and Subtracting with Unlike Denominators
Unit 06: Fraction Multiplication and Division
– Multiplying Fractions using Area Models
– Dividing Fractions using Models
– Converting Division to Fraction Multiplication
– Multiplying and Dividing Rational Numbers
Unit 07: Fraction and Decimal Conversions
– Converting Decimals to Fractions
– Converting Special Fractions to Decimals
– Converting Fractions to Decimals using Equivalent Fractions
Unit 08: Decimal Addition and Subtraction
– Adding and Subtracting Decimals using Place-Value Labels
– Adding and Subtracting Decimals using Regrouping
– Adding Three Decimals
Unit 09: Decimal Multiplication and Division
– Multiplying Decimals
– Dividing Decimals by Whole Numbers
– Dividing Decimals by Decimals
– Converting Fractions to Decimals using Division
Module 03: Ratios, Rates, and Percents
Unit 01: Ratios
– Writing Ratios
Unit 02: Equivalent Ratios and Rates
– Representing Equivalent Ratios and Rates using Tables
– Representing Equivalent Ratios and Rates using Double Number Lines
– Representing Equivalent Ratios and Rates using Graphs
Unit 03: Unit Rates
– Comparing Rates
Unit 04: Simple Percent Conversions
– Converting Common Percents
– Converting with Percents Less Than 100
– Converting with Percents Greater Than 100
Unit 05: Problem Solving with Equivalent Ratios and Rates
– Problem Solving with Equivalent Ratios and Rates using Tables
– Problem Solving with Equivalent Ratios and Rates using Double Number Lines
– Problem Solving with Equivalent Ratios and Rates using Graphs
Module 04: Numeric and Variable Expressions
Unit 01: Number Properties
– Modeling the Distributive Property
– Simplifying Numeric Expressions using Number Properties
– Simplifying Numeric Expressions (No Type In)
– Simplifying Numeric Expressions (Type In)
Unit 02: Squares and Cubes
– Calculating Perfect Squares and Square Roots
– Calculating Perfect Cubes and Cube Roots
2011-2012 MATHia Software Units
Course 1 (cont’d)
Unit 03: Picture Algebra and Equations
– Reviewing Picture Algebra
– Using Picture Algebra with Multiplication, Total Given
– Using Picture Algebra with Addition and Subtraction, Total Given
– Writing Multiplication Equations
– Writing Addition Equations
– Writing Subtraction Equations
– Writing Equations
Unit 04: Patterns and Expressions
– Modeling with Multiplication
– Modeling with Addition and Subtraction
– Modeling with Operations
Unit 05: Point Plotting in First Quadrant
– Reading First Quadrant Points
– Plotting First Quadrant Points
– Reading First Quadrant Points in Context
– Plotting First Quadrant Points in Context
Unit 06: One-Quadrant Graphs and One-Step Expressions
– Graphing using Point Plotting
Unit 07: Distributive Property
– Modeling the Distributive Property
– Using the Distributive Property
Unit 08: Expression Evaluation using Integers
– Evaluating One-Step Expressions
– Evaluating Two-Step Expressions
Unit 09: Expression Evaluation using Fractions and Decimals
– Evaluating One-Step Expressions
– Evaluating Two-Step Expressions
– Evaluating Multi-Step Expressions
Unit 10: Expression Evaluation with Multiple Variables
– Evaluating Expressions with Multiple Variables
Unit 11: Variable Expression Simplification
– Combining Like Terms using Models
– Combining Like Terms
– Simplifying Variable Expressions using Number Properties
– Simplifying Variable Expressions (No Type In)
– Simplifying Variable Expressions (Type In)
Module 05: One-Step Linear Equations and Inequalities
Unit 01: Pan Balances and One-step Linear Equations
– Using Pan Balances with Shapes
– Using Pan Balances with Shapes Representing Variables and Constants
– Translating Between Pan Balances and Equations
– Using Pan Balances to Solve Equations
– Solving Equations Displayed as Pan Balances
Unit 02: Solving One-Step Linear Equations
– Checking Solutions to Linear Equations
– Solving with Addition and Subtraction (No Type In)
– Solving with Addition and Subtraction (Type In)
– Solving with Multiplication and Division (No Type In)
– Solving with Multiplication and Division (Type In)
– Solving One-Step Equations
Unit 03: One-Step Linear Inequalities
– Graphing Inequalities
– Solving One-Step Linear Inequalities
Unit 04: Patterns and One-Step Equations
– Modeling with Multiplication
– Modeling with Addition and Subtraction
– Modeling with Operations
Unit 05: Problem Solving with One-Step Equations
– Problem Solving with Integers
– Problem Solving with Decimals
Unit 06: Negative Numbers and Number Lines
– Identifying Integers from Number Lines
– Representing Integers on Number Lines
Unit 07: Absolute Value
– Using Absolute Value as a Distance
Unit 08: Point Plotting in Four Quadrants
– Reading Four Quadrant Points
– Plotting Four Quadrant Points
– Reading Four Quadrant Points in Context
– Plotting Four Quadrant Points in Context
Unit 09: Four Quadrant Graphs and One-Step Equations
– Graphing using Point Plotting
2011-2012 MATHia Software Units
Course 1 (cont’d)
Module 06: Area, Volume, and Surface Area
Unit 01: One-Step Unit Conversions
– Converting Within Systems using One Step
– Converting Between Systems using One Step
Unit 02: Multiple-Step Unit Conversions
– Converting Between Systems using Multiple Given Steps
– Converting Between Systems using Multiple Steps
Unit 03: Perimeter an Area of Triangles and Quadrilaterals
– Calculating Perimeter and Area of Squares and Rectangles
– Calculating Perimeter and Area of Parallelograms
– Calculating Perimeter and Area of Triangles
– Calculating Perimeter and Area of Trapezoids
– Calculating Area of Composite Figures
Unit 04: Volume and Surface Area of Right Prisms
– Calculating Volume of Right Prisms
– Calculating Surface Area of Right Prisms
Module 07: Data Displays and Measures of Center
Unit 01: Measures of Central Tendency
– Calculating Mean, Median, Mode, and Range
– Determining Appropriate Measures
– Measuring the Effects of Changing Data Sets
– Calculating a Data Value Given a Mean
Unit 02: Displays of Categorical Data
– Creating Bar Graphs
– Reading Displays of Categorical Data
Unit 03: Displays of Numerical Data
– Creating Stem-and-Leaf Plots
– Creating Dot Plots
– Creating Histograms
– Reading Displays of Numerical Data
Unit 04: Mean Absolute Deviation
– Calculating Mean Absolute Deviation
– Using Mean Absolute Deviation
Unit 05: Box and Whisker Plots
– Identifying Key Characteristics from a Data Set
– Interpreting Box and Whisker Plots
2011-2012 MATHia Software Units
Course 2
Module 01: Proportional Reasoning
Unit 01: Problem Solving with Equivalent Ratios and Rates
– Problem Solving with Equivalent Ratios and Rates using Tables
– Problem Solving with Equivalent Ratios and Rates using Double Number Lines
– Problem Solving with Equivalent Ratios and Rates using Graphs
Unit 02: Proportions
– Solving Proportions using Equivalent Fractions
– Solving Proportions using Means and Extremes
Unit 03: Proportions and Direct Variation
– Writing Proportions in Two Variables
– Writing Direct Variation Equations
– Converting Between Proportions and Direct Variation Equations
Unit 04: Direct Variation Models and Graphs
– Modeling Direct Variation
Unit 05: Graphs of Direct Variation
– Determining Characteristics of Direct Variation Graphs
Module 02: Rational Numbers
Unit 01: Fraction, Decimal, and Percent Conversions
– Converting Common Percents
– Converting with Percents Less Than 100
– Converting with Percents Greater Than 100
Unit 02: Percents and Proportions
– Using Common Percents
– Calculating the Percent of a Number
– Calculating Percents using Two Given Numbers
– Calculating Totals Equal to 100%
– Using Percents
Unit 03: Percent Change
– Calculating Percent Change
– Calculating Final Amounts Given Percent Change
– Calculating Percent Change and Final Amounts
– Using Percents and Percent Change
Unit 04: Integer Addition and Subtraction
– Using Number Lines to Add and Subtract Positive Integers
– Using Number Lines to Add and Subtract Negative Integers
– Using Number Lines to Add and Subtract Integers
– Adding and Subtracting Integers
Unit 05: Integer Multiplication and Division
– Multiplying Integers
– Dividing Integers
– Multiplying and Dividing Integers
Unit 06: Order of Operations with Rational Numbers
– Simplifying Numeric Expressions (No Type In)
– Simplifying Numeric Expressions (Type In)
Module 03: Two-Step Linear Equations and Inequalities
Unit 01: Linear Expressions Factoring
– Modeling the Distributive Property
– Modeling Factoring
Unit 02: Order of Operations with Variable Expressions
– Combining Like Terms using Models
– Using Properties to Simplify Variable Expressions
– Simplifying Variable Expressions (No Type In)
– Simplifying Variable Expressions (Type In)
Unit 03: Patterns and Two-Step Equations
– Modeling Two-Step Equations
Unit 04: Two-Step Linear Equation Solving
– Checking Solutions to Linear Equations
– Solving with Multiplication (No Type In)
– Solving with Multiplication (Type In)
– Solving with Division (No Type In)
– Solving with Division (Type In)
– Solving Two-Step Equations
Unit 05: Two-Step Linear Inequalities
– Graphing Inequalities
– Solving Linear Inequalities
Unit 06: Problem Solving With Linear Equations and Inequalities
– Using Linear Equations and Inequalities
Unit 07: Problem Solving with Two-Step Equations
– Solving Problems with Integers
– Solving Problems with Large Integers
– Solving Problems with Decimals and Fractions
Unit 08: Four-Quadrant Graphs and Two-Step Equations
– Graphing with Integers
– Graphing with Fractions and Decimals
– Graphing with Larger Numbers
2011-2012 MATHia Software Units
Course 2 (cont’d)
Unit 09: Linear Equations with Similar Terms
– Solving Two-step equations (Type In)
– Solving by Combining Like Variable Terms and a Constant with Integers (No Type In)
– Solving by Combining Like Variable Terms and a Constant with Integers (Type In)
– Solving by Combining Like Variable Terms with Decimals (No Type In)
– Solving by Combining Like Variable Terms with Decimals (Type In)
– Solving by Combining Like Variable Terms and a Constant with Decimals (No Type In)
– Solving by Combining Like Variable Terms and a Constant with Decimals (Type In)
Module 04: Angles and Triangles
Unit 01: Angles and Angle Pairs
– Measuring Angles
– Classifying Angles
Unit 02: Angle Properties
– Calculating and Justifying Angle Measures
– Calculating Angle Measures
Unit 03: Triangle Properties, Part 1
– Measuring Angles in a Triangle
– Calculating and Justifying Angle Measures
– Calculating Angle Measures
Module 05: 2-D and 3-D Shapes
Unit 01: Scale Drawings
– Determining if Drawings are to Scale
– Using Scale Drawings
– Using Scale Factor
Unit 02: Circumference and Area of Circles
– Calculating Circumference and Area of Circles
Unit 03: Volume and Surface Area of Right Prisms
– Calculating Volume of Right Prisms
– Calculating Surface Area of Right Prisms
Unit 04: Volume of Pyramids
– Finding Volume of Pyramids
Module 06: Sampling and Data Comparisons
Unit 01: Samples
– Collecting Samples
– Determining Effects of Sample Size
Unit 02: Samples and Predictions
– Using Samples to Make Predictions
Unit 03: Categorical Data Display Comparisons
– Comparing Displays of Categorical Data
Unit 04: Numerical Data Display Comparisons
– Comparing Histograms, Dot Plots, and Stem and Leaf Plots
– Comparing Box and Whisker Plots
2011-2012 MATHia Software Units
Course 2 (cont’d)
Module 07: Probability
Unit 01: Single Event Probability
– Calculating Simple Probabilities
– Calculating Disjoint Probabilities
– Calculating Theoretical and Experimental Probabilities
Unit 02: Samples and Probability
– Using Samples to Calculate Probabilities
Unit 03: Independent and Dependent Probabilities
– Calculating the Sample Space for Independent Events
– Calculating the Sample Space for Dependent Events
– Calculating the Sample Space for Independent and Dependent Events
– Calculating Compound Probabilities
2011-2012 MATHia Software Units
Course 3
Module 01: Relations and Functions
Unit 01: Pan Balances and Linear Equations
– Using Pan Balances with Shapes Representing Variables and Constants
– Translating Between Pan Balances and Equations
– Using Pan Balances to Solve Equations
– Solving Equations Displayed as Pan Balances
Unit 02: Linear Equations and the Distributive Property
– Solving Linear Equations(Type In)
– Using Multiplication and Integers (No Type In)
– Using Multiplication and Integers (Type In)
– Using Multiplication and Decimals (No Type In)
– Using Multiplication and Decimals (Type In)
– Using Division (No Type In)
– Using Division (Type In)
– Using Division with Additional Variable Term (No Type In)
– Using Division with Additional Variable Term (Type In)
Unit 03: Linear Models and the Distributive Property
– Modeling with Integer Rates of Change
– Modeling with Fractional Rates of Change
– Modeling using the Distributive Property over Division
Unit 04: Relations and Functions
– Recognizing Non-Numeric Functions
– Recognizing Numeric Functions
– Recognizing Graphs of Functions
– Classifying Relations and Functions
Unit 05: Graphs of Functions
– Identifying Key Characteristics of Graphs of Functions
Module 02: Linear Functions
Unit 01: Linear Models and Slope-Intercept Graphs
– Graphing Given an Integer Slope and y-Intercept
– Graphing Given a Decimal Slope and y-Intercept
Unit 02: Linear Models in General Form
– Modeling with Linear Inequalities
– Modeling Linear Equations in General Form
Unit 03: Graphs of Linear Equations in Two Variables
– Graphing Linear Equation using a Given Method
– Graphing Linear Equation using a Chosen Method
Unit 04: Equations of a Line
– Modeling Given Slope and a Point
– Calculating Slopes
– Modeling Given Two Points
– Modeling Given an Initial Point
Unit 05: Linear Models and Multiple Representations
– Modeling Linear Functions
Module 03: Right Triangles
Unit 01: Approximations of Square and Cube Roots
– Approximating Square Roots
– Approximating Cube Roots
Unit 02: Simplification and Operations with Radicals
– Simplifying Radicals
– Adding and Subtracting Radicals