Mental Math | Axiom Academy

1

Foundation Skills

Building number sense and mental math foundations

17 modules

1

The Power of Mental MathINTRO

2

Developing Number SenseINTRO

3

Visualizing NumbersINTRO

4

Place Value MasteryLESSON

5

Number Decomposition ExamplesEXAMPLE

6

Place Value PracticePRACTICE

7

Understanding Number RelationshipsLESSON

8

Number Sense BuilderACTIVITY

9

Number Relationships PracticePRACTICE

10

Breaking Apart NumbersLESSON

11

Finding Friendly NumbersLESSON

12

Estimation FundamentalsLESSON

13

Estimation Strategy ExamplesEXAMPLE

14

Estimation GameACTIVITY

15

Foundation Skills SummarySUMMARY

16

Foundation Skills ReferenceFORMULA SHEET

17

Foundation Skills QuizQUIZ

2

Quick Addition

Lightning-fast addition techniques and strategies

22 modules

3

Quick Subtraction

Efficient subtraction methods and tricks

19 modules

1

Subtraction Strategies OverviewINTRO

2

Thinking Addition for SubtractionINTRO

3

The Counting Up MethodLESSON

4

Two-Digit Subtraction ExamplesEXAMPLE

5

Counting Up ChallengeACTIVITY

6

Two-Digit Subtraction DrillsPRACTICE

7

Compensation for SubtractionLESSON

8

Left-to-Right SubtractionLESSON

9

Three-Digit Subtraction ExamplesEXAMPLE

10

The Same Change MethodLESSON

11

Finding Difference ShortcutsEXAMPLE

12

Breaking Apart the SubtrahendLESSON

13

Mental Math with NegativesLESSON

14

Multi-Digit SubtractionPRACTICE

15

Making Change QuicklyREAL WORLD

16

Subtraction Speed TrainerACTIVITY

17

Quick Subtraction SummarySUMMARY

18

Subtraction Techniques ReferenceFORMULA SHEET

19

Quick Subtraction QuizQUIZ

4

Multiplication Tricks

Fast multiplication using patterns and shortcuts

26 modules

1

Multiplication MagicINTRO

2

Patterns in ProductsINTRO

3

Multiplying by 5, 50, 500LESSON

4

The 9s TricksLESSON

5

Multiplying by 11LESSON

6

Multiplying Two-Digit Numbers by 11EXAMPLE

7

Multiplying by 25, 250, 2500LESSON

8

Special Multipliers PracticePRACTICE

9

Squaring Numbers Ending in 5LESSON

10

Squaring Numbers Near 50EXAMPLE

11

Squaring TrainerACTIVITY

12

Using Difference of SquaresLESSON

13

Distributive Property ShortcutsLESSON

14

Two-Digit by Two-Digit ExamplesEXAMPLE

15

Two-Digit Multiplication DrillsPRACTICE

16

Cross Multiplication MethodLESSON

17

Multiplication MasterACTIVITY

18

Vedic MultiplicationLESSON

19

Trachtenberg System BasicsLESSON

20

Multiplication Pattern FinderACTIVITY

21

Quick Pricing CalculationsREAL WORLD

22

Estimating Areas QuicklyREAL WORLD

23

Mixed MultiplicationPRACTICE

24

Multiplication Tricks SummarySUMMARY

25

Multiplication Tricks ReferenceFORMULA SHEET

26

Multiplication Tricks QuizQUIZ

5

Division Strategies

Mental division techniques and estimation

20 modules

6

Percentages and Fractions

Quick percentage and fraction calculations

25 modules

1

The Power of PercentagesINTRO

2

Fraction FluencyINTRO

3

Percentage Benchmarks (10%, 25%, 50%)LESSON

4

Finding 10% and Building From ThereLESSON

5

Tip Calculation ExamplesEXAMPLE

6

Quick Percentage IncreasesLESSON

7

Quick Percentage DecreasesLESSON

8

Discount Calculation ExamplesEXAMPLE

9

Percent of a PercentLESSON

10

Mental Percent CalculatorACTIVITY

11

Percentage PracticePRACTICE

12

Fraction BenchmarksLESSON

13

Converting Fractions to PercentagesLESSON

14

Quick Fraction OperationsLESSON

15

Fraction Multiplication ExamplesEXAMPLE

16

Fraction MasterACTIVITY

17

Fraction PracticePRACTICE

18

Restaurant TippingREAL WORLD

19

Tip TrainerACTIVITY

20

Calculating Sales DiscountsREAL WORLD

21

Quick Tax EstimationREAL WORLD

22

Mixed Percent and Fraction ProblemsPRACTICE

23

Percentages and Fractions SummarySUMMARY

24

Percent & Fraction ReferenceFORMULA SHEET

25

Percentages and Fractions QuizQUIZ

7

Squares and Square Roots

Mental computation of squares and approximating roots

18 modules

1

Perfect SquaresINTRO

2

Estimating Square RootsINTRO

3

Memorizing Perfect SquaresLESSON

4

Squaring Two-Digit NumbersLESSON

5

Squaring Strategy ExamplesEXAMPLE

6

Square TrainerACTIVITY

7

Perfect Squares PracticePRACTICE

8

Squaring Near Reference PointsLESSON

9

Estimating Square RootsLESSON

10

Root Estimation ExamplesEXAMPLE

11

Root EstimatorACTIVITY

12

Square Root EstimationPRACTICE

13

Babylonian Method for RootsLESSON

14

Cubes and Cube RootsLESSON

15

Distance CalculationsREAL WORLD

16

Squares and Roots SummarySUMMARY

17

Squares and Roots ReferenceFORMULA SHEET

18

Squares and Roots QuizQUIZ

8

Advanced Techniques

Calendar calculations, mental math competitions, and more

20 modules

9

Course Resources

Comprehensive references and practice materials

4 modules

1

Daily Practice GuideSUMMARY

2

Mental Math Master ReferenceFORMULA SHEET

3

Complete Trick CompendiumFORMULA SHEET

4

Comprehensive Mental Math TestQUIZ