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Arithmetic Thinking

Learn to wield important tools in number sense and computation.

86 Lessons1127 Exercises

Finding Half

Combining Parts

Splitting Parts

Splitting and Combining

Equal Parts

Level Review

Sixths and Twelfths

Eighths and Sixteenths

Making Equivalent Fractions

Simplifying Fractions

Equivalent Fractions

Identifying Equivalents

Level Review

Comparing Numerators

Comparing Denominators

Comparing Equivalents

Comparing More Equivalents

Identifying the Greatest

Level Review

Adding Fractions

Adding Same-Sized Fractions

Adding Unlike Parts

Adding Unit Fractions

Adding Any Fractions

Level Review

Multiples of Fractions

Expressing Multiples

Fractions of Unit Fractions

Products of Unit Fractions

Fraction of Any Fraction

Multiplying Fractions

Level Review

Intro to Percentages

Working out Percentages

Percentages and Batteries

Percentages as Fractions

Level Review

Percent Increase

Price Increase

Calculating Percent Increase

Level Review

Percentages as Tenths

Percentages as Hundredths

Finding the Percentage

Percentages as Decimals

Calculating the Percentage

Level Review

Percent Decrease

Calculating Percent Decrease

Finding the Original Price

Reversing Percentages

Level Review

Compound Changes

Compound Calculations

Splitting Percent Changes

Growing and Shrinking

Exponential Growth

Level Review

Positives and Negatives

Negative Numbers

Making Integers

Addition

Level Review

Increasing Value

Decreasing Value

Zero

Opposites

Adding Negatives

Adding Negatives and Positives

Level Review

Missing Values

Subtracting Positives

Subtracting Negatives

Subtracting From Zero

Subtracting Positives 2

Subtracting Negatives 2

Level Review

Adding The Opposite

Subtracting Using Addition

Subtracting the Opposite

Order in Subtraction

Adding in Any Order

Level Review

The Number Line

Addition on the Number Line

Adding Large Integers

Adding Several Integers

Subtraction from 0

Subtraction on the Number Line

Level Review

Ordering Integers

Ordering Negatives

Absolute Value

Adding and Absolute Value

Absolute Value Inequalities

Reasoning with Absolute Value

Level Review

Distance Between Integers

A Pair at Every Distance

Subtracting to Find Distance

Absolute Value and Distance

Reasoning About Distance

Level Review

Up next

Coordinate Plane

Understand the coordinate plane to visualize the mathematical world.

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What will I learn in Arithmetic Thinking?

In this course, we'll build your understanding of fractions, percentages, and integers using visuals and your intuition. You'll learn powerful tools for picturing numbers and their relationships and apply your sharpened number sense to a range of everyday situations.


What topics are covered in the course?

  • Fraction comparison
  • Equivalent fractions
  • Fraction operations
  • Percentages as fractions
  • Percentages as decimals
  • Percentage increase and decrease
  • Applications of percentages
  • Negative numbers
  • Opposites
  • Addition and Subtraction of Integers
  • The Number Line
  • Absolute Value
  • Distance on the Number Line

What prerequisites and next steps are there?

This course is for anyone ready for a refresher and new challenges on core numerical concepts.