Mastering mathematical concepts for secondary readiness
Reach mathematical mastery! The Grade 5 Mathematics curriculum consolidates and extends all strands — developing sophisticated number sense, algebraic thinking, geometric reasoning, and data literacy in preparation for secondary school mathematics.
Explore the different areas of Grade 5 mathematics with detailed learning outcomes and teaching strategies
Grade 5 · Mathematics
Extend understanding of large whole numbers, fractions, decimals, and percentages and their relationships.
Whole Number – Saying Number Sequence, Meaningful Counting and Skip Counting
5 specific outcomesWhole Number – Representing and Partitioning Quantities
4 specific outcomesWhole Number – Comparing and Ordering Quantities
6 specific outcomesWhole Number – Understanding Place
10 specific outcomesFractions, Decimals, and Rational Numbers– Representing Fractions
7 specific outcomesFractions, Decimals and Rational Numbers – Comparing and Ordering Fractions
6 specific outcomesFractions, Decimals and Rational Numbers – Representing Decimals
6 specific outcomesFractions, Decimals and Rational Numbers – Comparing and Ordering Decimals
6 specific outcomesFractions, Decimals and Rational Numbers – Decimal Place Value
5 specific outcomesGrade 5 · Mathematics
Apply operations to fractions, decimals, and large whole numbers with fluency and in problem-solving contexts.
Additive Thinking – Understanding the Meaning of Addition and Subtraction and how they are Related
8 specific outcomesAdditive Thinking – Compute Fluently Using Operations (+,-)
5 specific outcomesAdditive Thinking –Make a Reasonable Estimation When Using Operations
6 specific outcomesMultiplicative Thinking – Understanding the Meaning of Multiplication and Division and How They Relate
6 specific outcomesMultiplicative Thinking – Compute Fluently with Operations (x&÷)
4 specific outcomesMultiplicative Thinking – Make Reasonable Estimation When Using the Operation (x&÷)
5 specific outcomesProportional Reasoning – Representing and Working with Rates and Ratios
7 specific outcomesUse a variety of representations and models of percentages to solve real-world mathematical problems
8 specific outcomesGrade 5 · Mathematics
Explore algebraic relationships, introduce equations with variables, and analyse number and visual patterns.
Recognizing, describing and extending patterns – Repeating Patterns
5 specific outcomesRecognizing, describing and extending patterns – Increasing and Decreasing Patterns
13 specific outcomesVariables and Relationships – Representing Unknowns
6 specific outcomesVariables and Relationships - Understanding and Representing Equivalence
7 specific outcomesVariables and Relationships - Writing Expressions and Equations
3 specific outcomesModelling Quantitative Relationships and Analyzing Change – Solving Problems with Functions and Relationships
4 specific outcomesModelling Quantitative Relationships and Analyzing Change – Representing Functions and Relationships
5 specific outcomesModelling Quantitative Relationships and Analyzing Change – Solving Problems with Functions and Relationships
2 specific outcomesLearners will explore, recognise, represent, and analyze patterns and relationships that model mathematical concepts and problems
3 specific outcomesGrade 5 · Mathematics
Explore and Analyse Geometric Shapes and Relationships - Developing a spatial sense
9 specific outcomesExplore and Analyze Geometric Shapes and Relationships -Sorting, patterning, and building with 2D & 3D Shapes
10 specific outcomesNaming and Describing Shapes - Analysing and describing shapes
24 specific outcomesRecognizing, Naming and Describing Shapes - Naming 2D & 3D shapes
21 specific outcomesRecognizing, Naming, and Describing Shapes – Describing relationships between and among shapes
16 specific outcomesComposing, Decomposing and Transforming Shapes - Combining Shapes
9 specific outcomesComposing, Decomposing and Transforming Shapes - Deconstructing Shapes
7 specific outcomesComposing, Decomposing and Transforming Shapes - Transforming Shapes
10 specific outcomesGrade 5 · Mathematics
Apply measurement to calculate area, perimeter, and volume of complex shapes and solve real-world problems.
Understanding What and How We Measure - Developing an understanding of measurable attributes
8 specific outcomesUnderstanding What and How We Measure – Comparing and ordering based on measurable attributes
7 specific outcomesUnderstanding What and How We Measure - Developing and applying non-standard units of measure
9 specific outcomesUnderstanding What and How We Measure - Developing and applying standard units of measure
16 specific outcomesApplying Techniques, Tools and Formulae for Measuring - Developing personal referents for measuring attributes
11 specific outcomesApplying Techniques, Tools and Formulae for Measuring - Use tools to measure attributes
4 specific outcomesApplying Techniques, Tools and Formulae for Measuring - Developing and applying formulae for measuring
8 specific outcomesGrade 5 · Mathematics
Collecting, Organising and Displaying Data - Formulating questions that can be answered with data
4 specific outcomesCollecting, Organising and Displaying Data - Collecting, organising, displaying and communicating data
6 specific outcomesUsing Statistical Methods to Analyse Data - Describing data sets
5 specific outcomesUsing Statistical Methods to Analyse Data - Developing and applying methods to analyse data sets
6 specific outcomesEvaluating Inferences and Making Predictions Based on Data - Making inferences with data sets
4 specific outcomesEvaluating Inferences and Making Predictions Based on Data - Making and testing conjectures based on data sets
4 specific outcomesEvaluating Inferences and Making Predictions Based on Data - Evaluating data descriptions and reports
5 specific outcomesUnderstanding and Applying Concepts of Probability - Predicting and describing the likelihood of events
5 specific outcomesUnderstanding and Applying Concepts of Probability - Calculating Probabilities
3 specific outcomes