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Home > CTYOnline > Math > Detailed Course Information
Problem Solving in Arithmetic
Detailed Course Information

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Module 1: Fractions

Essentials of Fractions
  • Recognizing a Fraction
  • Exploring Proper and Improper Fractions
  • Working with Mixed Numbers
Equivalent Fractions
  • Identifying the Factors of a Number
  • Expressing Fractions in Lowest Terms
  • Writing and Comparing Equivalent Fractions
Multiplying Fractions
  • Finding Products of Fractions, Whole Numbers, and Mixed Numbers
  • Using the GCF in Finding Products
  • Representing Multiplication
Dividing Fractions
  • Estimating Quotients of Fractions
  • Using Multiplicative Inverses
  • Solving Missing Value Problems when Dividing Fractions
Adding Fractions
  • Adding with Like Denominators
  • Adding with Unlike Denominators
  • Solving Missing Value Problems when Adding Fractions
Subtracting Fractions
  • Subtracting with Like Denominators
  • Subtracting with Unlike Denominators
  • Solving Missing Value Problems when Subtracting Fractions
Module 2: Decimals
Essentials of Decimals
  • Investigating Decimal Place Values
  • Rounding Decimals
  • Exploring Repeating and Terminating Decimals
Adding and Subtracting Decimals
  • Using Place Value Grids
  • Regrouping with Whole Numbers
  • Regrouping to Hundredths
Multiplying Decimals
  • Multiplying Decimals by Powers of 10
  • Calculating Products
  • Finding the Volume of a Prism
Dividing Decimals
  • Dividing Decimals by Whole Numbers
  • Estimating and Finding Quotients
  • Dividing by Powers of 10
Module 3: Percents
Essentials of Percents
  • Investigating the Meaning of Percent
  • Expressing Percents as Proper Fractions
  • Expressing Percents Greater than 100% as Improper Fractions
Finding Percents of Quantities
  • Finding Percents of a Whole
  • Expressing Ratios as Percents
  • Calculating the Whole from a Part and a Percent
Increasing and Decreasing Percents
  • Calculating Percent Increases
  • Calculating Percent Decreases
  • Calculating Simple Interest
Module 4: Integers and Order of Operations
Adding and Subtracting Signed Numbers
  • Exploring the Number Line and Absolute Value
  • Adding with Absolute Value
  • Subtracting with Absolute Value
Multiplying and Dividing Signed Numbers
  • Finding Products of Signed Numbers
  • Representing the Multiplication of Signed Numbers
  • Finding Quotients Using Reciprocals
Order of Operations
  • Simplifying Expressions
  • Introducing the Distributive Property
  • Using Grouping Symbols

Return to Problem Solving in Arithmetic course description

Detailed Course Information

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