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Mission Briefing
Welcome to Math Mission Control. Master arithmetic reasoning through 6 focused training modules, each with audio narration, visual diagrams, and interactive practice tools.

Learn the operation, then practice it

This platform teaches core math operations through 6 comprehensive modules. Each module includes lessons with audio narration, SVG diagrams, step-by-step visual walkthroughs, worked examples, and interactive calculators so you can practice immediately.

Audio narration SVG diagrams Interactive calculators Instant feedback Practice quiz
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Audio Explainers
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SVG Diagrams
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Calculators
โ˜… Training Modules
MODULE 01
Word Problems
Find the right operation using keywords and clues. Strategy flowchart and operation finder.
LESSON + PRACTICEโ–ถ START
MODULE 02
Fractions, Decimals & Percents
Convert between forms and solve percent problems with visual diagrams.
LESSON + PRACTICEโ–ถ START
MODULE 03
Ratios, Proportions & Rates
Simplify ratios, cross multiply, and solve distance-rate-time problems.
LESSON + PRACTICEโ–ถ START
MODULE 04
Integers, Exponents & Roots
Order of operations (PEMDAS), powers, and square roots explained visually.
LESSON + PRACTICEโ–ถ START
MODULE 05
Geometry
Area, perimeter, circumference, and volume with shape diagrams.
LESSON + PRACTICEโ–ถ START
MODULE 06
Averages, Probability & Statistics
Mean, median, reverse average problems, and probability fundamentals.
LESSON + PRACTICEโ–ถ START
01
Word Problems
Learn to identify the correct operation by spotting keyword clues, then solve step by step.
๐Ÿ“– Lesson: Word Problem Strategy

The 5-Step Strategy

1
READ CAREFULLY
Read the full problem from start to finish. Do not skip words.
2
FIND THE QUESTION
What exactly are you being asked to calculate?
3
IDENTIFY NUMBERS & CLUES
Write down the numbers, units, and keyword clues from the problem.
4
CHOOSE THE OPERATION
Use keyword clues to decide: add, subtract, multiply, or divide.
5
SOLVE AND CHECK
Calculate the answer, then verify it makes sense in context.

Keyword Clues โ†’ Operations

โ˜… KEYWORD โ†’ OPERATION MAP โ˜… + ADD "in all" "total" "sum" "combined" "more than" "plus" โˆ’ SUBTRACT "left over" "difference" "fewer" "less than" "decreased" "remain" ร— MULTIPLY "each" "per" "times" "product" "of" "double" รท DIVIDE "split equally" "per" "average" "shared" "quotient" "each gets" โ˜… Match the keyword to the correct operation โ˜…
โ–ฒ Four operations, four clue patterns to memorize
โญ WORKED EXAMPLE

A store sold 18 notebooks in the morning and 27 in the afternoon. How many notebooks were sold in all?

Clue: "in all" โ†’ addition

Solution: 18 + 27 = 45 notebooks

โญ PRO TIP
Always double check units. If the question asks for "feet" and you calculated "inches," you need to convert. Unit mismatches are the most common mistake on word problems.
๐ŸŽฏ Practice: Operation Finder
Choose a clue word, then check.
Waiting for your answer...
02
Fractions, Decimals & Percents
Three forms of the same value. Learn to convert between them and solve percent problems visually.
๐Ÿ“– Lesson: The Three Forms

Same Value, Three Forms

โ˜… THREE FORMS, ONE VALUE โ˜… 1/2 = 0.50 = 50% 1/4 = 0.25 = 25% 3/4 = 0.75 = 75%
โ–ฒ Every fraction has a decimal and percent equivalent

Fraction Operations

๐ŸŽฏ FRACTION OPERATIONS
โž•
ADD
Common denominator
โž–
SUB
Common denominator
โœ–๏ธ
MUL
Top ร— top, bot ร— bot
โž—
DIV
Keep, change, flip

Percent Conversion

โญ EXAMPLE 1: PERCENT OF A NUMBER

What is 35% of 80?

Step 1: 35% = 0.35

Step 2: 0.35 ร— 80 = 28

โญ EXAMPLE 2: DIVIDING FRACTIONS

3/4 รท 2/5

Keep, change, flip: 3/4 ร— 5/2 = 15/8

๐ŸŽฏ Practice: Percent Calculator
Enter values to calculate.
Enter a decimal to convert.
03
Ratios, Proportions & Rates
Compare quantities, solve proportions by cross multiplying, and master distance-rate-time problems.
๐Ÿ“– Lesson: Ratios and Rates

What Is a Ratio?

A ratio compares two quantities. It can be written as a:b, a to b, or a/b. A proportion states that two ratios are equal.

โญ SIMPLIFYING A RATIO

A class has 12 boys and 18 girls. What is the simplified ratio?

GCF of 12 and 18 = 6

12:18 โ†’ (12รท6):(18รท6) = 2:3

Distance, Rate, Time (DRT)

โ˜… DISTANCE = RATE ร— TIME โ˜… One formula, three problem types D DISTANCE R RATE T TIME D = R ร— T R = D รท T T = D รท R COVER THE UNKNOWN TO SOLVE
โ–ฒ Cover the unknown variable in the triangle to see the formula
โญ DRT EXAMPLE

A car travels 150 miles in 3 hours. What is the rate?

R = D รท T

R = 150 รท 3 = 50 mph

๐ŸŽฏ Practice: Ratio & DRT Tools

Simplify a Ratio

Enter two numbers.

Distance-Rate-Time Solver

Choose what to find and enter values.
04
Integers, Exponents & Roots
PEMDAS order of operations, exponents (powers), and square roots.
๐Ÿ“– Lesson: PEMDAS and Powers

The Order of Operations (PEMDAS)

โ˜… PEMDAS โ˜… Do operations in this order, left to right P PAREN- THESES ( ) 1ST โ†’ E EXPO- NENTS xยฒ 2ND โ†’ M/D MULT & DIV left to right ร— รท 3RD โ†’ A/S ADD & SUB left to right + โˆ’ LAST โ˜… Please Excuse My Dear Aunt Sally โ˜…
โ–ฒ Memorize: "Please Excuse My Dear Aunt Sally"
โญ PEMDAS EXAMPLE

Solve: 3 + 2 ร— (5 โˆ’ 1)ยฒ รท 4

P: (5 โˆ’ 1) = 4 โ†’ 3 + 2 ร— 4ยฒ รท 4

E: 4ยฒ = 16 โ†’ 3 + 2 ร— 16 รท 4

M/D: 2 ร— 16 = 32, 32 รท 4 = 8 โ†’ 3 + 8

A/S: 3 + 8 = 11

Exponents and Square Roots

โญ EXPONENT EXAMPLE

2โด = 2 ร— 2 ร— 2 ร— 2 = 16

5ยฒ = 5 ร— 5 = 25

โˆš49 = 7 (because 7 ร— 7 = 49)

๐ŸŽฏ Practice: Exponent & Root Calculator

Calculate an Exponent

Enter base and exponent.

Calculate a Square Root

Enter a number.
05
Geometry
Area, perimeter, circumference, and volume for the most common shapes.
๐Ÿ“– Lesson: Shapes and Formulas

Essential Formulas

โ˜… SHAPE FORMULAS โ˜… L ร— W RECTANGLE A = L ร— W P = 2L + 2W r CIRCLE A = ฯ€ ร— rยฒ C = 2 ร— ฯ€ ร— r a b c RIGHT TRIANGLE aยฒ + bยฒ = cยฒ BOX V = Lร—Wร—H โ˜… ฯ€ โ‰ˆ 3.14 โ˜… Memorize these four formulas for most geometry questions
โ–ฒ The four most tested shapes with their formulas
โญ EXAMPLES

Rectangle with L=7, W=3: Area = 7 ร— 3 = 21

Circle with r=5: Area = 3.14 ร— 5ยฒ = 78.5

Right triangle with legs 3, 4: cยฒ = 9 + 16 = 25, so c = 5

๐ŸŽฏ Practice: Geometry Calculator
Choose a shape and enter values.
06
Averages, Probability & Statistics
Mean, reverse-average problems, and basic probability.
๐Ÿ“– Lesson: Averages and Probability

Finding the Average (Mean)

โ˜… FINDING THE AVERAGE โ˜… 6 + 8 + 10 = 24 Divide by count: 24 รท 3 = 8 AVERAGE = SUM รท COUNT
โ–ฒ Add them up, divide by how many

Probability

โญ PROBABILITY FORMULA
P = Favorable Outcomes รท Total Outcomes
Example: rolling a 3 on a die = 1/6 โ‰ˆ 0.17 โ‰ˆ 17%
โญ REVERSE AVERAGE

A student has an average of 85 on 3 tests. What did they score in total?

Total = Average ร— Count

Total = 85 ร— 3 = 255 points

๐ŸŽฏ Practice: Stats Calculators

Calculate an Average

Enter numbers above.

Calculate Probability

Enter both values.
๐Ÿ“
Practice Quiz
Test your knowledge across all 6 modules. Load the quiz, answer each question, then grade yourself.
๐ŸŽฏ Final Review Quiz

This 6-question mixed review covers topics from all modules. Get at least 4 correct to pass.

Click Load Quiz to begin.