Your Classes!
Maths โ brought to life through Space adventures! Pick a topic and start exploring! ๐
Maths Class
Maths is the secret language of the universe โ AND of sports, medicine, and everything else you love! Master these topics and you'll think like a real expert! โญ
Addition
Adding numbers together! The foundation of all maths โ everything starts with being able to add!
โSubtraction
Taking numbers away to find what's left. In sport, medicine, and space โ subtraction saves the day!
โ๏ธMultiplication
Super-speed addition! Multiply to find totals quickly. Essential for stats, speeds, and big calculations!
โDivision
Splitting things equally or finding how many times something fits. Used in averages, rates, and doses!
๐Fractions
Parts of a whole! Whether it's 1/6 of Earth's gravity on the Moon or 3/4 of a team's wins โ fractions are everywhere!
๐Geometry
Shapes, angles, areas! Pitches are rectangles, orbits are ellipses, pills are cylinders โ geometry is EVERYWHERE!
๐ขBig Numbers
Millions, billions, trillions! Space distances, transfer fees, heartbeats in a lifetime โ all need big number skills!
๐Patterns & Sequences
Maths loves patterns! Find the next number in a sequence. Used in statistics, science, and strategy!
๐Averages
Find the mean, median, mode! Averages tell us what's "typical" โ batting averages, patient data, season stats!
๐ก Commander Leo's Maths Tips!
Tip 1: Always check your work โ even NASA double-checks every calculation! ๐
Tip 2: Practise your times tables every day โ it makes EVERYTHING else easier! ๐
Tip 3: Draw pictures for word problems โ even astronauts use diagrams! ๐
๐ Times Table (2ร to 10ร)
Learn by Grade Level
US Common Core aligned โ Junior Kindergarten through Grade 12. Each grade has a Core track plus an Advanced track that unlocks at 80% completion. ๐
๐ Search Results
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๐ข Mathematics
Browse all maths topics across every grade. Pick a topic to see which grades cover it and track your progress. Your completion from each grade page carries over!
โ Addition
From counting your first objects to adding huge numbers โ addition is the foundation of all maths. See which grades you've conquered!
Counting 1 to 10
Count objects up to 10 โ the very first step in addition!
Counting to 20
Extend counting beyond 10 โ counting up is the same as adding!
Number Bonds
Pairs of numbers that add up to a total โ the key to fast mental addition!
Adding Within 5
Your first true addition! Add two small numbers using fingers and objects.
Adding and Subtracting to 10
Add and subtract numbers up to 10 โ essential fluency for all future maths!
Addition to 20
Solve addition problems with answers up to 20 using number lines and counting on.
Addition and Subtraction to 100
Bigger numbers, same principles! Add and subtract with two-digit numbers.
Addition and Subtraction to 100 (Grade 2)
Master two-digit addition and subtraction with regrouping (carrying and borrowing)!
Multi-digit Addition and Subtraction
Add and subtract numbers in the hundreds and thousands with confidence!
โ Subtraction
Taking away, finding the difference โ subtraction is the partner of addition. Track your progress from KG to Grade 3!
Subtracting Within 5
Take away small numbers โ your first subtraction steps!
Adding and Subtracting to 10
Both operations together โ building number sense within 10!
Subtraction to 20
Subtract numbers with answers up to 20 โ using number lines and counting back.
Multi-digit Addition and Subtraction
Subtract numbers in the hundreds and thousands โ including regrouping!
โ๏ธ Multiplication
Super-speed addition! From equal groups in Grade 2 to multi-digit products in Grade 4 โ see your times-table journey!
Intro to Multiplication โ Equal Groups
Understand multiplication as repeated addition with equal groups of objects.
Multiplication to 5ร5
Learn your first times tables โ 1ร1 up to 5ร5. Build the foundations!
Multiplication Facts 1โ10
Master all the times tables from 1ร to 10ร โ fluency that unlocks all of maths!
Multi-digit Multiplication
Multiply 2 and 3-digit numbers โ the standard algorithm and the area model!
Multiplying Fractions (intro)
Multiply a fraction by a whole number โ fractions ร integers unlocked!
Multiplicative Comparisons
"A is 4 times as many as B" โ solve comparison word problems using multiplication and division!
โ Division
Splitting equally โ division is the reverse of multiplication. Master it and averages, rates, and algebra become easy!
Intro to Division
Share equally โ introduction to division as fair sharing and grouping!
Division Facts 1โ10
Master division from 1รท1 to 100รท10 โ the inverse of your times tables!
Multi-digit Division
Divide large numbers with remainders โ the long division algorithm mastered!
Interpreting Remainders
When to ignore, round up, or keep the remainder โ context changes everything!
๐ Fractions & Decimals
Parts of a whole and decimal numbers โ from pizza slices in Grade 2 to full decimal operations in Grade 5!
Fractions (ยฝ, โ , ยผ)
Understand that fractions are equal parts of a whole โ half, third, quarter!
Basic Fractions โ Half and Quarter
Your very first fractions! Split shapes and groups into halves and quarters.
Fractions on a Number Line
Place fractions on a number line โ visualising fractions as values between whole numbers!
Fraction Equivalence
ยฝ = 2/4 = 4/8 โ equivalent fractions represent the same value!
Introduction to Decimals
What is 0.5? Decimals are fractions in disguise โ meet tenths and hundredths!
Fraction Addition and Subtraction
Add and subtract fractions with the same denominator โ and find common denominators!
Decimals to Hundredths
Extend decimals to two places โ 0.01 to 0.99 and everything in between!
Line Plots with Fractions
Read and create line plots using measurement data in fractions โ halves, fourths and eighths!
Fraction Operations
Add, subtract, multiply and divide fractions โ the complete fraction toolkit!
Decimal Multiply and Divide
Multiply and divide decimal numbers โ essential for real-world calculations!
Fractions, Decimals and Percents
Convert fluently between fractions, decimals and percents โ three ways to say the same number!
Dividing Fractions
Master "Keep, Change, Flip" to divide any fraction or mixed number!
Multiplying and Dividing Decimals
Handle decimal multiplication and long division confidently โ essential for percent and money calculations!
Operations with Rational Numbers
Add, subtract, multiply and divide positive and negative fractions and mixed numbers.
๐ Geometry
Shapes, angles, area and volume โ from basic shapes in Junior K to 3D volume in Grade 5!
Basic Shapes
Identify circles, squares, triangles and rectangles โ your first geometry!
Symmetry in Shapes
Find lines of symmetry โ shapes that look the same on both sides!
2D and 3D Shapes
Flat shapes vs solid shapes โ learn the difference between squares and cubes!
Perimeter
Measure the distance around a shape โ add all the side lengths!
Area and Perimeter
Calculate how much space a shape covers (area) and its boundary (perimeter)!
Angles and Lines
Measure angles in degrees โ acute, obtuse, right angles, and parallel lines!
Measuring and Drawing Angles
Use a protractor to measure and draw angles โ acute, right, obtuse, and straight!
Angle Addition and Unknown Angles
Add adjacent angles and solve for unknown angles using equations!
Lines, Rays and Line Segments
Parallel, perpendicular, and intersecting lines โ identify them in shapes and the real world!
Classifying 2D Shapes and Symmetry
Triangles, quadrilaterals, and lines of symmetry โ the complete shape classification system!
Volume of 3D Shapes
Find the volume of cubes and rectangular prisms โ length ร width ร height!
Area of Triangles and Parallelograms
Use formulas to find the area of triangles, parallelograms and related shapes.
Surface Area and Volume
Calculate the surface area and volume of prisms and 3D figures using nets and formulas.
Angles and Triangles
Explore angle relationships, triangle classification and the triangle angle-sum theorem.
Circles: Circumference and Area
Discover ฯ and use it to find the circumference and area of any circle!
Area of Composite Figures
Break complex shapes into simple parts and add their areas โ real-world problem solving!
Volume of Prisms and Pyramids
Calculate the volume of 3D objects using base area and height โ great for real-world engineering!
The Pythagorean Theorem
Discover that aยฒ + bยฒ = cยฒ and use it to find missing sides in right triangles.
Applying the Pythagorean Theorem
Use the Pythagorean theorem to solve real-world distance problems in 2D and 3D!
Triangle Congruence: SSS and SAS
Prove two triangles are identical using Side-Side-Side and Side-Angle-Side rules.
Triangle Similarity: AA, SAS, SSS
Prove triangles are similar using angle and side ratios โ the key to scale and proportion!
Right Triangle Trigonometry: Sin, Cos, Tan
Use SOH-CAH-TOA to find angles and side lengths in right triangles โ trigonometry starts here!
Circles: Chords, Arcs, and Angles
Explore the relationships between chords, arcs, central angles and inscribed angles in circles.
๐ข Place Value & Numbers
From counting to 10 all the way to big numbers, factors and primes โ number sense built step by step!
Counting 1 to 10
Count objects from 1 to 10 โ the very start of number sense!
Number Recognition
Recognise what written numbers look like โ matching names to symbols!
Counting 1 to 20
Count all the way to 20 โ and understand the teen numbers!
Skip Counting by 2s and 5s
Count in jumps โ skip counting is the gateway to multiplication patterns!
Place Value โ Tens and Ones
Break 2-digit numbers into tens and ones โ the key to understanding how numbers work!
Place Value to 1000
Hundreds, tens and ones โ understand 3-digit numbers inside out!
Rounding Numbers
Round to the nearest 10, 100, or 1000 โ for estimation and mental maths!
Factors and Multiples
What numbers multiply to make 24? Factors and multiples unlock number theory!
Expanded Form and Decomposing Numbers
Write numbers in expanded form โ 347,205 = 300,000 + 40,000 + 7,000 + 200 + 5!
Real Numbers and Irrational Numbers
Discover that some numbers like โ2 never end or repeat โ welcome to the real number system!
Exponents and Scientific Notation
Write very large and very small numbers using powers of 10 โ the language of science!
Square Roots and Cube Roots
Find the square and cube root of perfect and imperfect numbers โ and estimate irrational ones!
Exponent Rules
Master the product, quotient and power rules for exponents โ algebra's shortcut toolkit!
๐ Data & Statistics
Reading charts, finding averages, understanding probability โ data skills you'll use every day!
Introduction to Graphs
Read simple bar charts and picture graphs โ data comes alive with pictures!
Bar Graphs and Pictographs
Create and read bar charts and picture graphs to represent real data!
Statistics: Mean, Median, Mode, Range
Find averages and spread โ the key tools for analysing any set of numbers!
Probability Basics
How likely is something to happen? Understand chance, odds and probability!
Statistics: Sampling and Distributions
Understand random samples, measures of center, and how to compare two data distributions.
Probability and Compound Events
Calculate simple and compound probabilities using tree diagrams and the multiplication rule!
Scatter Plots and Lines of Best Fit
Plot two-variable data, spot trends and draw lines of best fit to make predictions!
Data Analysis and Statistics
Analyze data sets with measures of spread, compare distributions and interpret statistical summaries.
Probability: Permutations and Combinations
Count arrangements and selections using factorials โ the maths behind passwords and lotteries!
Normal Distribution and Z-Scores
Understand the bell curve and use Z-scores to compare data points across different distributions.
๐ก Algebra
From writing your first expression to solving quadratic equations โ algebra is the language of mathematics! Grade 6โ11.
Algebraic Expressions
Write and evaluate expressions using variables โ the first step into algebra!
One-Step Equations
Solve for x by doing the same thing to both sides โ the golden rule of algebra!
Algebraic Expressions (Grade 7)
Expand, factor and simplify multi-term algebraic expressions with negative coefficients.
One-Step and Two-Step Equations
Solve equations that need two operations to isolate the variable โ build those algebra muscles!
Multi-Step Equations
Combine like terms and use the distributive property to crack equations with many steps.
Inequalities and Their Graphs
Write and solve inequalities, then graph the solution on a number line!
Linear Equations in One Variable
Solve equations with variables on one or both sides, including those with no or infinite solutions.
Slope and Rate of Change
Calculate slope from a graph, table or two points โ and understand what it means in real life!
Graphing Linear Equations
Draw straight lines on the coordinate plane using slope-intercept form y = mx + b.
Systems of Linear Equations
Find where two lines intersect โ solve a system by graphing, substitution or elimination!
Introduction to Functions
Learn what a function is โ every input has exactly one output โ and use function notation!
Solving Linear Equations
Master multi-step linear equations including those with fractions and decimals.
Linear Functions and Slope
Analyse linear functions from equations, tables and graphs โ see the connection between slope and rate!
Solving Quadratics by Factoring
Factor trinomials and use the zero-product property to solve quadratic equations!
Introduction to Quadratic Functions
Explore parabolas โ how to graph them, find their vertex and understand their real-world uses!
Quadratic Functions and Parabolas
Revisit parabolas with vertex form, transformations and all methods of solving โ deep mastery!
Exponential Functions and Growth/Decay
Model population growth, radioactive decay and compound interest with exponential functions!
Logarithms: Definition and Properties
Understand logarithms as the inverse of exponents and apply the product, quotient and power rules!
โซ Pre-Calculus & Calculus
Trigonometry, limits, derivatives and integrals โ the mathematics of change and the gateway to university maths! Grade 12.
Trigonometric Functions: Unit Circle
Place all six trig functions on the unit circle and understand angles in radians and degrees.
Trigonometric Identities
Prove and apply the Pythagorean, reciprocal and quotient identities to simplify trig expressions.
Law of Sines and Law of Cosines
Solve any triangle โ not just right triangles โ using these powerful trigonometric laws!
Limits: Intuitive Introduction
What value does a function approach as x gets close to a number? Limits are the foundation of calculus!
Introduction to Derivatives
The derivative measures instantaneous rate of change โ it's the slope of a curve at any single point!
Derivative Rules: Power, Product, Quotient
Apply the power rule, product rule and quotient rule to differentiate complex functions efficiently!
Applications of Derivatives: Max, Min, Optimization
Use derivatives to find the maximum and minimum values of real-world functions โ calculus in action!
Introduction to Integrals and Antiderivatives
Reverse the derivative to find antiderivatives โ and discover that integration measures accumulated area!
The Fundamental Theorem of Calculus
The bridge between derivatives and integrals โ the most beautiful result in all of calculus!