Maths for 6th Class

Extend place value to decimals to thousandths and large whole numbers, comparing, ordering and expressing numbers in related terms with confidence.

1. 1 Reading and Writing Numbers to Millions Sample lesson
2. 2 Place Value of Decimals to Thousandths
3. 3 Modelling Thousandths with Concrete and Visual Tools
4. 4 Comparing and Ordering Decimals to Thousandths
5. 5 Rounding Decimals to Nearest Whole, Tenth and Hundredth
6. 6 Rounding Whole Numbers to Estimate in Context
7. 7 Multiplying and Dividing Decimals by 10, 100 and 1000
8. 8 Decimals on the Number Line to Thousandths
9. 9 Expressing Quantities in Related Place-value Terms
10. 10 Negative Numbers in Context and on the Number Line
11. 11 Comparing and Ordering Positive and Negative Integers
12. 12 Place Value Problem Solving and Review
13. Module 1 assessment: Place value, decimals and the number system Assessment

Select and apply efficient strategies across the four operations with whole numbers and decimals, including multi-step problems.

1. 13 Mental Strategies for Addition and Subtraction
2. 14 Addition and Subtraction of Decimals to Thousandths
3. 15 Multiplying Multi-digit Whole Numbers
4. 16 Long Multiplication Strategies and Estimation
5. 17 Multiplying Decimals by Whole Numbers
6. 18 Mental Strategies for Multiplication and Division
7. 19 Dividing by Single-digit Divisors with Remainders
8. 20 Long Division by Two-digit Divisors
9. 21 Dividing Decimals in Context
10. 22 Order of Operations with Brackets
11. 23 Factors, Multiples, Primes and Composites
12. 24 Divisibility Rules and Tests
13. 25 Square Numbers and Number Patterns
14. 26 Multi-step Word Problems and Choosing the Operation
15. Module 2 assessment: Operations and computational fluency Assessment

Achieve fluent equivalence between fractions, decimals and percentages and apply each form flexibly in problem contexts.

1. 27 Equivalent Fractions and Simplest Form
2. 28 Comparing and Ordering Fractions with Unlike Denominators
3. 29 Adding and Subtracting Fractions with Unlike Denominators
4. 30 Adding and Subtracting Mixed Numbers
5. 31 Finding a Fraction of a Quantity
6. 32 Fraction Word Problems in Real Life
7. 33 Converting Fractions to Decimals
8. 34 Converting Decimals to Fractions
9. 35 Percentages as Fractions and Decimals
10. 36 Finding a Percentage of a Quantity
11. 37 Fraction, Decimal and Percentage Equivalence Mastery
12. 38 Problem-solving with Discounts and Increases
13. 39 Fractions, Decimals and Percentages Review
14. Module 3 assessment: Fractions, decimals and percentages Assessment

Investigate proportionality and ratios of quantities, sharing and scaling amounts to solve practical problems.

1. 40 Introducing Ratio as Comparison of Quantities
2. 41 Equivalent Ratios and Simplifying Ratios
3. 42 Sharing a Quantity in a Given Ratio
4. 43 Direct Proportion and the Unitary Method
5. 44 Recipes, Mixtures and Scaling Quantities
6. 45 Ratio, Proportion and Percentage Links
7. 46 Ratio and Proportion Problem-solving
8. Module 4 assessment: Ratio and proportion Assessment

Calculate measures in fractional and decimal form, deriving and applying formulae for perimeter, area and volume with increasing precision, and reason about the relationships that link the metric units.

1. 47 Choosing and Converting Metric Units of Length
2. 48 Perimeter of Regular and Irregular Shapes
3. 49 Area of Rectangles and Compound Shapes
4. 50 Area of Triangles
5. 51 Estimating and Measuring the Area of Irregular Shapes
6. 52 Relationship Between Area Units (Cm² to M²)
7. 53 Reading Scales and Measuring Instruments Accurately
8. 54 Volume of Cubes and Cuboids
9. 55 Litres and Cubic Centimetres: the Same Space
10. 56 Converting Units of Mass and Capacity
11. 57 Decimal and Fractional Measures in Problems
12. 58 Measuring Precisely and Ranking by Length
13. 59 Measures Problem-solving and Review
14. Module 5 assessment: Measures — length, area, volume, mass and capacity Assessment

Interpret and calculate time across formats and zones, and make informed judgements about transactions and financial plans.

1. 60 12-hour and 24-hour Time Calculations
2. 61 Elapsed Time Across Hours and Days
3. 62 Timetables, Schedules and Time Zones
4. 63 Converting Between Units of Time
5. 64 Calendars, Durations and Problem-solving
6. 65 Operations with Money in Decimal Form
7. 66 Profit, Loss and Best-value Shopping
8. 67 Calculating Discounts, VAT and Percentages of Price
9. 68 Budgeting, Saving and Simple Financial Plans
10. 69 Time and Money Problem-solving Review
11. Module 6 assessment: Time and money Assessment

Construct 2-D and 3-D shapes to given conditions and formally measure, construct and reason about angles with precision.

1. 70 Classifying Triangles and Quadrilaterals by Properties
2. 71 Constructing Triangles from Given Measurements
3. 72 Measuring Angles Accurately with a Protractor
4. 73 Constructing Angles with a Protractor
5. 74 Angles on a Line, at a Point and Vertically Opposite
6. 75 Angle Sum of a Triangle
7. 76 Angle Sum of a Quadrilateral
8. 77 Constructing Circles and Exploring Their Parts
9. 78 Nets and Construction of 3-D Solids
10. 79 Faces, Edges and Vertices of Solids
11. 80 Angle-related Problem-solving
12. 81 Shape and Angle Construction Review
13. Module 7 assessment: 2D shape, 3D shape and angles Assessment

Describe location on the full four-quadrant co-ordinate plane, interpret scale maps and create scale drawings, and perform transformations including enlargement.

1. 82 Plotting Points in the First Quadrant
2. 83 The Full Four-quadrant Co-ordinate Plane
3. 84 Plotting and Reading Points with Negative Co-ordinates
4. 85 Translating Shapes on the Co-ordinate Plane
5. 86 Reflection in the X-axis and the Y-axis
6. 87 Rotation of Shapes About a Point
7. 88 Combining Transformations
8. 89 Enlargement and Scale Factor
9. 90 Interpreting Scale Maps and Distances
10. 91 Creating Simple Scale Drawings
11. Module 8 assessment: Location, transformations and scale Assessment

Pose questions, collect and represent data selectively, analyse measures of centre, and express probability in different forms to make predictions.

1. 92 Posing Statistical Questions and Collecting Data
2. 93 Frequency Tables and Grouped Data
3. 94 Constructing and Interpreting Bar and Multiple Bar Charts
4. 95 Trend Graphs and Reading Line Graphs
5. 96 Pie Charts and Proportional Representation
6. 97 The Mean as a Measure of Centre
7. 98 Mode, Range and Choosing a Measure
8. 99 Comparing Data Sets and Drawing Inferences
9. 100 Critically Evaluating Graphs and Misleading Data
10. 101 Probability Scale and the Language of Chance
11. 102 Expressing Probability as Fraction, Decimal and Percentage
12. 103 Experimental Probability, Predictions and Review
13. Module 9 assessment: Data and chance Assessment

Generalise patterns and properties of operations, and represent and solve situations using letter-symbol expressions and equations.

1. 104 Generalising Number Patterns and Sequences
2. 105 Rules for Patterns Using Words and Tables
3. 106 Properties of Operations and the Distributive Law
4. 107 Introducing Letter-symbols as Variables
5. 108 Writing Expressions from Word Situations
6. 109 Substituting Values Into Expressions
7. 110 Simplifying Simple Expressions
8. 111 Solving One-step Equations
9. 112 Solving Two-step Equations
10. 113 Representing Situations as Equations
11. 114 Algebra Problem-solving and End-of-year Review
12. Module 10 assessment: Algebra — patterns, expressions and equations Assessment

Close primary maths with a five-strand recap, two open-ended modelling projects, a journal self-review and a class maths fair, completing the gradual release of agency.

1. 115 How Big Is Our School Yard, Really?
2. 116 Design and Cost Project: an End-of-primary Celebration on a Budget
3. 117 Maths Journal Review and Self-assessment
4. 118 End-of-primary Maths Fair
5. 119 End of Primary Maths Recap: a Tour of the Five Areas
6. Module 11 assessment: End-of-primary modelling and review Assessment