Class Five Maths

Topic1

Addition

Add numbers accurately and use addition to solve word problems.

1. 1

   Addition

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

Topic2

Subtraction

Subtract numbers accurately and use subtraction to solve word problems.

1. 1

   Subtraction

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

Topic3

Multiplication

Multiply numbers and solve multiplication word problems.

1. 1

   Multiplication

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

Topic4

Division

Divide numbers and solve division word problems.

1. 1

   Division

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

Topic5

Fractions

From fair shares to multiplying and dividing fractions.

1. 1

   Fraction Concepts

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

   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
3. 3

   Equivalence & Simplifying

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

   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
5. 5

   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
6. 6

   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
7. 7

   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

Topic6

Decimals

From tenths and hundredths to operating with decimals and linking them to fractions.

1. 1

   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)
2. 2

   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
3. 3

   Equivalence & Place Value Shifting

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

   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
5. 5

   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
6. 6

   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
7. 7

   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
8. 8

   Decimals, Fractions, and Place Value Unified

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

Topic7

Factors & Multiples

Find factors and multiples, then use HCF and LCM.

1. 1

   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?
2. 2

   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
3. 3

   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
4. 4

   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
5. 5

   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
6. 6

   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

Topic8

Prime & Composite Numbers

Discover what numbers are “made of” and spot primes and composites.

1. 1

   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
2. 2

   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
3. 3

   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)
4. 4

   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

Topic9

Perimeter

Measure the distance around shapes, from tracing to formulas.

1. 1

   What is Perimeter? (Foundations)

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

   Measuring & Tracing Perimeter

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

   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
4. 4

   Using the Formulas (Numeric Fluency)

   • D.1Plug and Play — Square
   • D.2Plug and Play — Rectangle
   • D.3Missing Side, Known Perimeter
   • D.4Unit Sense-Check
5. 5

   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

Topic10

Area

Count squares, use formulas, and tell area apart from perimeter.

1. 1

   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
2. 2

   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
3. 3

   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
4. 4

   Composite & Irregular Shapes

   • A.1Split Into Rectangles
   • A.2Missing Piece Method
   • A.3Real-World Floor Plans
   • A.4Irregular Grid Estimation
5. 5

   Area vs Perimeter (Untangling the Two)

   • A.1Fence vs Floor
   • A.2Same Area, Different Perimeter
   • A.3Same Perimeter, Different Area
   • A.4Sort the Question
6. 6

   Formula Fluency & Word Problems

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

Topic11

Percentages

Understand percentages and connect them to fractions, decimals and real life.

1. 1

   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
2. 2

   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
3. 3

   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
4. 4

   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
5. 5

   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
6. 6

   Percentages in Real Life

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

Topic12

Symmetry

Discover what it means for a shape to be the same on both sides, and find its mirror line.

1. 1

   What is symmetry? (Foundations)

   • A.1Matching Halves Intro
   • A.2Fold and Match
   • A.3Symmetry in Nature and Around Us
   • A.4The Mirror Line
   • A.5Symmetric or Not? (Trap Questions)
2. 2

   Finding lines of symmetry in simple shapes

   • B.1Fold It Yourself (Cut-outs)
   • B.2Draw the Line
   • B.3Vertical, Horizontal, Diagonal Lines
   • B.4One Line or Many? Counting Lines
   • B.5Is This a Line of Symmetry? (Trap Questions)
3. 3

   Symmetry in letters, numbers, and everyday figures

   • C.1Alphabet Symmetry
   • C.2Number Symmetry
   • C.3Rangoli, Logos and Flags
   • C.4Symmetric Words
   • C.5Regular Polygons
4. 4

   Reflection and the mirror

   • D.1Mirror Images
   • D.2Complete the Other Half
   • D.3Reflect the Dots
   • D.4Reflection or Slide? (Trap Questions)
   • D.5Mirror Writing
5. 5

   Introducing rotational symmetry

   • E.1Spin and Match (Intro)
   • E.2Centre of Rotation
   • E.3Angle of Rotation
   • E.4Order of Rotational Symmetry
   • E.5Rotational Symmetry in Real Life
   • E.6Does It Rotate to Itself? (Trap Questions)
6. 6

   Putting it together (Higher order)

   • F.1Line vs Rotational Symmetry
   • F.2Compare Line Symmetry and Order
   • F.3Letters Revisited
   • F.4Build a Symmetric Design
   • F.5Mystery Shape
   • F.6Symmetry in the World