Grade 5 Ontario math worksheets
40 of 51 Grade 5 expectations with a printable sheet · Ages 10–11
The wording beside each code is our own short summary of what the specific expectation asks for, not its official text. For that, see the Ontario Ministry of Education.
Number Sense
- 5.B1.1
Read, represent, compose and decompose whole numbers up to and including 100 000.
Partial Reads six-digit numbers, because there is no five-digit setting: the ten-thousands place is on every sheet, and so are numbers past 100 000.
- 5.B1.2
Compare and order whole numbers up to and including 100 000.
Partial Asks what each digit of a six-digit number is worth — there is no five-digit setting. Does not compare or order the numbers.
- 5.B1.3
Represent equivalent fractions from halves to twelfths, including mixed numbers.
- 5.B1.4
Compare and order fractions, including improper fractions and mixed numbers.
- 5.B1.5
Read, represent, compare and order decimal numbers up to hundredths.
Partial Asks what each digit to the hundredths is worth. Does not compare or order the numbers.
- 5.B1.6
Round decimal numbers to the nearest tenth.
- 5.B1.7
Show the equivalences among fractions, decimals to hundredths and percents.
Operations
- 5.B2.1
Use the properties of and relationships between operations with whole and decimal numbers.
- 5.B2.2
Recall the multiplication facts from 0 × 0 to 12 × 12 and the related division facts.
- 5.B2.3
Multiply whole numbers by 0.1 and 0.01 mentally and estimate decimal sums.
Partial Multiplies and divides by powers of 10. Does not cover 0.1 and 0.01 as multipliers.
- 5.B2.4
Add and subtract whole numbers up to 100 000 and decimal numbers to hundredths.
Partial Adds and subtracts decimals to the hundredths. Does not add whole numbers to 100 000.
- 5.B2.5
Add and subtract fractions with like denominators.
- 5.B2.6
Multiply two-digit whole numbers by two-digit whole numbers using the area model.
- 5.B2.7
Divide three-digit whole numbers by two-digit whole numbers.
- 5.B2.8
Multiply and divide one-digit whole numbers by unit fractions.
Partial Divides by unit fractions; this expectation also requires multiplication.
- 5.B2.9
Represent and create equivalent ratios and rates.
Patterns and Relationships
- 5.C1.1
Identify repeating, growing and shrinking patterns.
- 5.C1.2
Create and translate growing and shrinking patterns using tables and graphs.
- 5.C1.3
Determine pattern rules and identify missing elements.
- 5.C1.4
Create patterns among whole numbers and decimal tenths and hundredths.
Partial Generates a whole-number pattern. Does not use decimals.
Equations and Inequalities
Data Literacy
- 5.D1.1
Explain the importance of sampling techniques for a representative sample.
- 5.D1.5
Determine the mean and median and identify the mode for whole and decimal data.
- 5.D1.6
Analyse data in stacked-bar graphs and in misleading graphs.
Partial Reads a dot plot, histogram or box plot. Does not cover stacked bars or ask what makes a graph misleading.
Probability
Geometric and Spatial Reasoning
- 5.E1.1
Identify the properties of triangles and construct them from given measurements.
- 5.E1.2
Identify and construct congruent triangles, rectangles and parallelograms.
Partial Applies the congruence criteria to given figures. Does not ask the child to construct one.
- 5.E1.3
Draw the top, front and side views of objects and match drawings with objects.
Partial Reads a cross-section off a drawn solid. Does not ask for the three views to be drawn.
- 5.E1.4
Plot and read first-quadrant coordinates using various scales.
- 5.E1.5
Perform translations, reflections and rotations up to 180 degrees on a grid.
Measurement
- 5.E2.1
Use metric units to estimate and measure length, area, mass and capacity.
- 5.E2.2
Convert larger metric units into smaller ones using base ten relationships.
- 5.E2.3
Compare angles by matching and by measuring with non-standard units.
Partial Names the type of angle. Does not measure or compare by size.
- 5.E2.4
Explain how protractors work and use them to measure and construct angles.
- 5.E2.5
Develop the area formulas for a parallelogram and a triangle from a rectangle.
- 5.E2.6
Show that shapes with the same area can have different perimeters.
Partial Finds the area and the perimeter. Does not ask for two shapes to be compared with one held equal.
Not a worksheet
These expectations have no sheet, for three different reasons. Listing them is the point — a catalog that showed only the hits would say this grade is fuller than it is.
Money and Finances (6) — a strand Math Picnic has never built for, the same decision as the Texas financial literacy strand. This is a gap, not a mismatch.
- 5.F1.1Describe ways money can be transferred among people, organizations and businesses.
- 5.F1.2Calculate the cost of transactions in dollars and cents, including sales tax.
- 5.F1.3Design sample budgets for various earning and spending scenarios.
- 5.F1.4Explain credit and debt and how financial decisions are affected by each.
- 5.F1.5Calculate unit rates for goods and services and identify the best value.
- 5.F1.6Describe the types of taxes collected by the different levels of government.
Coding (2) — writing and running code. A printable cannot execute anything, and the execution is the expectation.
- 5.C3.1Write and execute code involving conditional statements and control structures.
- 5.C3.2Read and alter existing code involving conditional statements.
5.D1.2 — Collect data using appropriate sampling techniques and organize it.
Collecting the data — by observation, experiment, sampling or interview. That is the part of statistics that happens before there is anything on paper.
5.D1.3 — Select the graph best suited to a data set, including stacked-bar graphs.
Choosing which kind of display best suits a data set. Each of our data sheets prints one display and asks a question about it, which is the opposite skill.
5.D1.4 — Create an infographic using relative-frequency tables and stacked-bar graphs.
Building an infographic: several displays, chosen and arranged, with the reader's attention designed. A generated sheet asks a question and marks an answer.