Class Five Maths

Addition

• A.1Addition
• A.2Addition Word Problem

Subtraction

• A.1Subtraction
• A.2Subtraction Word Problem

Multiplication

• A.1Multiplication
• A.2Multiplication Word Problem

Division

• A.1Division
• A.2Division Word Problem

Fraction Concepts

• A.1Fair Shares Intro
• A.2Parts of a Whole
• A.3Naming the Parts
• A.4Halves, Thirds & Quarters
• A.5Equal vs. Unequal Parts

Reading, Writing & Visualizing Fractions

• A.1Fraction Match (Picture ↔ Symbol)
• A.2Build the Fraction
• A.3Fraction Strips / Bars
• A.4Fractions on a Number Line (Intro)
• A.5Fraction of a Group
• A.6Real-World Fraction Spotting

Equivalence & Simplifying

• B.1Equivalent Fractions Visual Match
• B.2Fraction Wall / Ladder
• B.3Multiply-Up to Find Equivalents
• B.4Simplify to Lowest Terms

Fraction Comparing & Ordering

• A.1Same Denominator Compare
• A.2Same Numerator Compare
• A.3Benchmark Fractions (vs 0, 1/2, 1)
• A.4Cross-Denominator Compare (Unlike Fractions)
• A.5Ordering 3–4 Fractions
• A.6Fraction vs Fraction Number Line Placement

Fraction of a Whole Number & Quantity

• A.1Fraction of a Set (Grouping)
• A.2Fraction of a Number (Numeric)
• A.3Unit Fraction vs Non-Unit Fraction of a Number
• A.4Real-World Fraction-of-Quantity Problems

Adding & Subtracting Fractions

• A.1Same-Denominator Add/Subtract (Visual)
• A.2Same-Denominator Add/Subtract (Numeric)
• A.3Adding to Make a Whole
• A.4Unlike Denominators — Find Common Denominator First
• A.5Unlike Denominators — Straight to Answer
• A.6Mixed Number Addition/Subtraction

Multiplying & Dividing Fractions

• B.1Fraction × Whole Number (Visual)
• B.2Fraction × Fraction (Area Model)
• B.3Fraction × Fraction (Numeric Shortcut)
• B.4Dividing a Fraction by a Whole Number
• B.5Dividing Whole Number by a Fraction
• B.6Reciprocals & “Keep-Change-Flip” Intro

What is a decimal? (Foundations)

• A.1Splitting the Whole into Tens
• A.2The Missing Piece Between Whole Numbers
• A.3Base-10 Blocks: Flat = Whole
• A.4Naming the Spots After the Point
• A.5Equal Cuts Only (Trap Questions)

Reading, Writing & Visualizing Decimals

• B.1Decimal Match (Picture ↔ Symbol)
• B.2Build the Decimal
• B.3Decimal Grids (10-strip vs 100-grid)
• B.4Decimals on a Number Line (Intro)
• B.5Decimal of a Group
• B.6Real-World Decimal Spotting

Equivalence & Place Value Shifting

• C.1Equivalent Decimals Visual Match
• C.2Trailing Zero Explorer
• C.3Decimal ↔ Fraction Bridge
• C.4Zooming In: Tenths → Hundredths → Thousandths

Decimal of a Whole Number & Quantity

• A.1Tenths of a Set (Grouping)
• A.2Real-World Decimal-of-Quantity Problems
• A.3Money as the Universal Decimal Model

Decimal Comparing & Ordering

• A.1Same Place-Value Compare
• A.2Different-Length Decimal Compare
• A.3Benchmark Decimals (vs 0, 0.5, 1)
• A.4Decimal Number Line Placement
• A.5Ordering 3–4 Decimals

Adding & Subtracting Decimals

• A.1Same Place-Value Add/Subtract (Visual)
• A.2Crossing the Whole (Regrouping)
• A.3Mismatched Place Values (Align by Grid)
• A.4Money Add/Subtract as Real Practice

Multiplying & Dividing Decimals (conceptual only)

• A.1Decimal × Whole Number (Repeated Shading)
• A.2Decimal × Decimal (Area Model)
• A.3Dividing a Decimal by a Whole Number
• A.4Dividing Whole Number by a Decimal (Measuring)
• A.5Why Multiplying Decimals Can Make Numbers Smaller

Decimals, Fractions, and Place Value Unified

• A.1Decimal ↔ Fraction Conversion (Visual)
• A.2Decimal ↔ Percent Preview
• A.3Rounding by Zooming

What is a factor? What is a multiple? (Foundations)

• A.1Skip-Counting Hop
• A.2Equal Rows Puzzle (Arrays)
• A.3The Fair-Share Check
• A.4Multiples vs Factors: Which Way Am I Going?
• A.5Trap Questions: Is It Really a Factor?

Finding Factors and Multiples Systematically

• A.1Factor Hunt
• A.2Factor Rainbow
• A.3Multiples Table Builder
• A.4Multiples on a Number Line
• A.5Factor or Not? Speed Sort

Common factors & common multiples

• A.1Overlap Circles — Common Factors
• A.2Overlap Circles — Common Multiples
• A.3Which Numbers Fit Both? (Puzzle Mode)
• A.4Meeting Point on the Number Line

HCF (Highest Common Factor)

• A.1Biggest Shared Row
• A.2HCF via Factor Lists (Guided)
• A.3HCF via Prime Factor Trees (light)
• A.4Cutting Ribbon/Rope Fairly
• A.5Packing Gift Bags

LCM (Least Common Multiple)

• A.1Smallest Meeting Point
• A.2LCM via Multiples Lists (Guided)
• A.3LCM via Prime Factor Trees (light)
• A.4Buses Leaving Together
• A.5Matching Packs

Bringing it together (why HCF & LCM matter)

• A.1HCF or LCM? Which Tool Do I Need?
• A.2HCF/LCM in Fractions (the payoff connection)
• A.3Mixed Celebration Challenge

Prime Time — What is a number "made of"?

• A.1Making Groups (Arrays Intro)
• A.2Can We Make a Rectangle?
• A.3Factors as Building Blocks
• A.4Finding All the Factors of a Number
• A.5The Sneaky Duo: 1 and the Number Itself

Discovering Primes and Composites

• A.1Counting Factors Game
• A.2Meet the Primes
• A.3Meet the Composites
• A.4The Odd One Out: Number 1
• A.5Prime or Composite? Sorting Game

Finding & Identifying Efficiently

• A.1The 2 Surprise
• A.2Sieve of Eratosthenes (Kid Version)
• A.3Quick Divisibility Checks (Mini-Helpers)
• A.4Is It Prime? (Test It Yourself)

Primes and Composites - Deeper Structure

• A.1Factor Trees
• A.2Prime Factorization — The Number's DNA
• A.3Build-a-Composite
• A.4Twin Primes & Pattern Spotting
• A.5Real-World Prime Spotting
• A.6Prime & Composite Number Line / Chart Recap

What is Perimeter? (Foundations)

• A.1Walk the Edge
• A.2Fence the Field
• A.3Inside vs Outside (Trap Questions)
• A.4Count the Steps

Measuring & Tracing Perimeter

• B.1String It Up
• B.2Perimeter on Grid Paper
• B.3Label the Sides
• B.4Add All the Sides (Any Shape)

Regular Shapes: Discovering the Shortcut

• C.1Square Spotting
• C.2From Addition to Multiplication
• C.3Rectangle Spotting
• C.4Formula Match (Square vs Rectangle)
• C.5Equilateral Triangle Shortcut

Using the Formulas (Numeric Fluency)

• D.1Plug and Play — Square
• D.2Plug and Play — Rectangle
• D.3Missing Side, Known Perimeter
• D.4Unit Sense-Check

Real-World & Composite Shapes

• A.1Garden Fencing Word Problems
• A.2Irregular / Composite Figures
• A.3Missing Side Puzzle (Composite)
• A.4Perimeter vs Area — Final Discrimination Check

What is Area? (Foundations)

• A.1Cover the Shape
• A.2More Space or Less Space?
• A.3Same Shape, Different Size
• A.4Squishy Shapes Trap
• A.5Area Is Not the Outline

Counting Squares (Grid-based Area)

• A.1Grid Cover-Up
• A.2Half-Squares & Almost-Squares
• A.3Build a Shape With N Squares
• A.4Compare by Counting
• A.5Real Object Grids

Rectangles & Squares: From Counting to the Formula

• A.1Rows and Columns
• A.2Skip-Counting Shortcut
• A.3Length × Width Reveal
• A.4Square Special Case
• A.5Missing Side Puzzles
• A.6Guess, Then Check

Composite & Irregular Shapes

• A.1Split Into Rectangles
• A.2Missing Piece Method
• A.3Real-World Floor Plans
• A.4Irregular Grid Estimation

Area vs Perimeter (Untangling the Two)

• A.1Fence vs Floor
• A.2Same Area, Different Perimeter
• A.3Same Perimeter, Different Area
• A.4Sort the Question

Formula Fluency & Word Problems

• A.1Formula Flashcards
• A.2Area Word Problems
• A.3Unit Awareness
• A.4Design Your Own Room

What is a Percentage? (Foundations)

• A.1Grid of 100 Intro
• A.2“Percent” Means “Per 100”
• A.3The % Symbol Hunt
• A.4Full, Half, Empty Grid

Reading, Writing & Visualizing Percentages

• A.1Shade-the-Grid
• A.2Percent ↔ Grid Match
• A.3Percent Bar
• A.4Percent on a Number Line
• A.5Real-World Percent Spotting

Connecting Percentage to Fractions and Decimals

• A.1Friendly Fraction → Percent Match
• A.2Grid Overlay Proof
• A.3Percent → Decimal Slide
• A.4Convert Any Fraction to Percent
• A.5Convert Any Percent to Fraction/Decimal

Comparing & Ordering Percentages

• A.1Side-by-Side Bars Compare
• A.2Benchmark Percentages (vs 0%, 50%, 100%)
• A.3Ordering 3–4 Percentages
• A.4Percent vs Fraction vs Decimal Ordering

Percentage of a Quantity

• A.1Percent of a Set
• A.2Percent of a Number
• A.3Friendly Percent Shortcuts
• A.4The General Method (×/100)
• A.5Real-World Percent Problems

Percentages in Real Life

• A.1Marks & Marksheets
• A.2Discounts & Shopping
• A.3Simple Increase/Decrease
• A.4Percent Change Spotting in the Wild