Grade 5 Math
13 units matched to the Newfoundland and Labrador Curriculum.
Learning focus
- Number sense and number theory. Students will demonstrate number sense and apply number theory concepts.
- Operation sense. Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.
- Patterns and relationships. Students will explore, recognize, represent and apply patterns and relationships, both informally and formally.
- Measurement. Students will demonstrate an understanding of and apply concepts and skills associated with measurement.
- Spatial sense. Students will demonstrate spatial sense and apply geometric concepts, properties and relationships.
- Data management. Students will solve problems involving the collection, display and analysis of data.
- Probability. Students will represent and solve problems involving uncertainty.
Units
Unit 1
Numbers to a Million
Place value to 1 000 000: digit values, standard and expanded form, number words, rounding, ordering, and using benchmarks like 500 000 on a number line.
Curriculum outcome: Number sense and number theory (by Grade 6) · representing and partitioning whole numbers to 1 000 000
Unit 2
Add & Subtract
Adding and subtracting numbers up to 1 000 000 with regrouping (including across zeros), estimating by rounding, and mental math such as compensation (adding 4999 as 5000 − 1).
Curriculum outcome: Operation sense (by Grade 6) · estimation strategies, and adding and subtracting decimals
Unit 3
Multiply
Multiplying 2- and 3-digit numbers using area models and partial products, patterns with 10, 100 and 1000, doubling and halving, and estimating products by rounding.
Curriculum outcome: Operation sense (by Grade 6) · mental strategies for multiplication, and two-digit by two-digit multiplication
Unit 4
Divide
Dividing 2- and 3-digit numbers, finding remainders and deciding what they mean in a story (round up for buses, drop the extra for full bags), and estimating with friendly numbers.
Curriculum outcome: Operation sense (by Grade 6) · dividing three-digit numbers by one-digit numbers, and interpreting remainders
Unit 5
Equivalent Fractions
Making and recognizing equivalent fractions (2/3 = 8/12), simplifying, comparing and ordering fractions, and judging whether a fraction is close to 0, 1/2 or 1.
Curriculum outcome: Number sense and number theory (by Grade 6) · creating sets of equivalent fractions
Unit 6
Decimals
Reading, writing, comparing and rounding decimals to thousandths, linking decimals to fractions out of 10, 100 and 1000, and adding and subtracting decimals in real situations.
Curriculum outcome: Number sense and number theory (by Grade 6) · decimals to thousandths, relating them to fractions, and comparing and ordering them
Unit 7
Patterns & Equations
Describing growing and shrinking patterns with rules and expressions like 3n + 1, using input–output tables, and solving one-step equations such as n + 37 = 92 or 6 × n = 54.
Curriculum outcome: Patterns and relationships (by Grade 6) · pattern rules, and one-step equations with a variable
Unit 8
Area & Perimeter
Finding the area and perimeter of squares and rectangles, working backwards to a missing side, and discovering that shapes with the same area can have different perimeters (and vice versa).
Curriculum outcome: Measurement (by Grade 6) · designing rectangles given perimeter or area
Unit 9
Prisms, Pyramids & Moves
Naming and classifying prisms and pyramids by their bases, counting faces, edges and vertices, and describing single transformations: translations (slides), reflections (flips) and rotations (turns).
Curriculum outcome: Spatial sense (by Grade 6) · edges, faces and sides, and single transformations of 2-D shapes
Unit 10
Graphs & Chance
Reading double bar graphs where each square stands for several items (many-to-one), comparing two sets of data, and describing the probability of single outcomes with spinners, marbles, dice and coins.
Curriculum outcome: Data management (by Grade 6); Probability (by Grade 6) · first- and second-hand data, double bar graphs, and the likelihood of outcomes
Unit 11
Mental Math Tricks
Recalling multiplication and division facts to 9 × 9, and mental strategies such as adding zeros, halving and doubling, and breaking a number into friendly parts.
Curriculum outcome: Operation sense (by Grade 6) · mental math strategies for multiplication and division facts
Unit 12
Millimetres, Volume and Capacity
Choosing units for length (mm), volume (cm³, m³) and capacity (mL, L), using everyday referents, and linking millilitres to litres.
Curriculum outcome: Measurement (by Grade 6) · millimetres, volume and capacity
Unit 13
Parallel Lines and Quadrilaterals
Finding parallel and perpendicular edges and sides, and sorting quadrilaterals (rectangles, squares, trapezoids, parallelograms and rhombuses) by their sides and angles.
Curriculum outcome: Spatial sense (by Grade 6) · parallel and perpendicular lines and right angles in quadrilaterals
Ready to try Gradelings?
Curriculum-matched practice for Kindergarten to Grade 9 in British Columbia and Ontario and Alberta and Saskatchewan and Manitoba and Yukon and Northwest Territories and Nova Scotia and New Brunswick and Newfoundland and Labrador and Prince Edward Island and Nunavut, with kind hints, learning games and no ads. Subscribe now, or try everything free for 30 days with no card.