Grade Six Maths
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Topic1
Patterns & Their Uses
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Number & Shape Sequences
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Number & Shape Patterns
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Word Problems & Real-Life Patterns
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HOTS Pattern Challenges
Topic2
Lines & Angles
Start with a single point, then build up to measuring angles and solving with them.
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What is a Line? (Foundations)
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How Lines Relate to Each Other
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What is an Angle? (Foundations)
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Measuring & Classifying Angles
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Comparing, Combining & Angle Relationships
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HOTS Higher-Order Reasoning & Applications
Topic3
Circles & π
Discover π by squeezing it between a hexagon and a square.
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Meet π (Introduction to Pie)
Topic4
Water Puzzle
Measure exact litres using two jars, a tap and an ocean puddle.
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Measure the Water
Topic12
Symmetry
Discover what it means for a shape to be the same on both sides, and find its mirror line.
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What is symmetry? (Foundations)
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Finding lines of symmetry in simple shapes
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Symmetry in letters, numbers, and everyday figures
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Reflection and the mirror
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Introducing rotational symmetry
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Putting it together (Higher order)
Topic6
Circles: Radius, Diameter & Perimeter
See why circles are different from every straight-sided shape, and learn the names of their parts.
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Why circles are tricky (Foundations)
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The problem, and the discovery of pi
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Circumference from diameter and radius
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Area starts with the pizza (the "pie" moment)
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Practice, both measures, and unit sense
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Working backwards (Inverse problems)
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Parts of circles
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Combining shapes
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Applied and “Pro” level
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Stretch topics (for curious kids)
Topic7
Geometry Tools & Constructions
Meet the ruler, compass, protractor and set squares, and learn what each one is for.
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Meet the Tools (Foundations)
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Circles and the Compass
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Copying and Comparing Lengths
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Perpendiculars and Bisectors
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Angles
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Special Angles by Construction
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Squares and Rectangles
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Creative and Pattern Constructions
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Applied and “Pro” Level
Topic8
The Other Side of Zero (Integers)
Go below zero with lifts, floors and buttons, and meet positive, negative and zero.
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Why do we need numbers below zero? (Foundations)
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Back to Zero (Inverses)
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Back to Zero (Inverses)
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Comparing & Ordering (using floors)
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Subtraction as "Which Button Do I Press?"
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Bigger Numbers: the Mine and the Infinite Lift
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The Number Line and the Unmarked Number Line
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Converting Subtraction ↔ Addition
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The Token Model
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Integers in Other Places (Real-World Contexts)
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Explorations & Puzzles
- A.1Hollow Integer Grid: Check the Border Sum
- A.2Complete the Grid for a Given Border Sum
- A.3More Than One Way
- A.4Make Your Own Border Puzzle
- A.5The Amazing Grid (Circle and Strike)
- A.6Three Numbers with Sum −8
- A.7Two Dice (−1, 2, −3, 4, −5, 6)
- A.8Sequence Patterns
- A.9Years Across BCE and CE
- A.10Closest to −30 (Integer Cards)
- A.11Sign Predictor Table
- A.12The 100-Token String
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Brahmagupta’s Rules, History & the Game
Topic9
Data Handling and Presentation
Collect, organise and read data: from asking the right questions to tallies, pictographs and bar graphs.
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What is data? (Foundations)
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Collecting and organising
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Frequency tables and ordering data
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Reading pictographs (1 symbol = 1)
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Pictographs with a scale, key and half symbols
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Drawing pictographs
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Reading bar graphs
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Drawing bar graphs and choosing a scale
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Bar vs column graphs and honest presentation
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Applied and “Pro” level