Grade 6 Ontario math worksheets

40 of 51 Grade 6 expectations with a printable sheet · Ages 11–12

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

6.B1.1
Read and represent whole numbers up to and including one million.
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6.B1.2
Read and represent integers on horizontal and vertical number lines.
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- Four-quadrant coordinates
6.B1.3
Compare and order integers, decimal numbers and fractions together.
Partial Finds the absolute value of an integer. Does not compare or order integers, decimals and fractions.
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- Absolute value
6.B1.4
Read, represent, compare and order decimal numbers up to thousandths.
Partial Asks what each digit to the thousandths is worth. Does not compare or order the numbers.
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6.B1.5
Round terminating and repeating decimals to a given place.
Partial Rounds decimals to the nearest hundredth; tenths is a setting on the same maker. Does not round repeating decimals.
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6.B1.6
Show the equivalences among fractions and decimal numbers up to thousandths.
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- Fractions and decimals

Operations

6.B2.1
Use the properties of and relationships between operations with whole, decimal and fractional numbers.
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- Missing factors
6.B2.2
Use the divisibility rules for 2, 3, 4, 5, 6, 8, 9 and 10.
Partial Finds the factor pairs of a number. Does not test divisibility by rule.
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- List the factors
6.B2.3
Calculate 1%, 5%, 10%, 15%, 25% and 50% of whole numbers mentally.
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- Decimals and percents
6.B2.4
Add and subtract whole and decimal numbers using estimation and algorithms.
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- Adding and subtracting decimals
6.B2.5
Add and subtract fractions with like and unlike denominators.
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- Adding unlike fractions
6.B2.6
Represent composite numbers as a product of their prime factors.
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- List the factors
6.B2.7
Multiply three-digit whole numbers by decimal tenths.
Partial Multiplies decimals, but does not specifically multiply three-digit whole numbers by tenths.
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6.B2.8
Divide three-digit whole numbers by decimal tenths.
Partial Divides decimals, but does not specifically divide three-digit whole numbers by tenths.
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6.B2.9
Multiply whole numbers by proper fractions.
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- Whole number × fraction
6.B2.10
Divide whole numbers by proper fractions.
Whole ÷ unit fraction
Unit fraction ÷ whole
- Dividing a whole number by a unit fraction
6.B2.11
Divide decimal numbers up to thousandths by whole numbers up to 10.
Partial Divides decimals to the hundredths by whole numbers. Does not reach thousandths.
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- Dividing decimals
6.B2.12
Solve problems involving ratios, including percents and rates.
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- Decimals and percents

Patterns and Relationships

6.C1.1
Identify repeating, growing and shrinking patterns and specify the rule.
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- Two rules, two patterns
6.C1.2
Create and translate patterns using tables, graphs and algebraic expressions.
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- Two rules, two patterns
6.C1.3
Determine pattern rules and identify missing elements.
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- Number patterns
6.C1.4
Create patterns among whole numbers and decimal numbers.
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- Two rules, two patterns

Equations and Inequalities

6.C2.1
Add monomials with a degree of 1 that involve whole numbers.
Partial Collects like terms in a linear expression. Does not name them as monomials.
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- Combining like terms
6.C2.2
Evaluate algebraic expressions involving whole numbers and decimal tenths.
Partial Evaluates expressions with whole numbers. Does not use decimal tenths.
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- Evaluating expressions
6.C2.3
Solve equations that involve multiple terms and verify the solutions.
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- Solving equations
6.C2.4
Solve two-operation inequalities up to 100 and graph the solutions.
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- Solving inequalities

Data Literacy

6.D1.1
Describe the difference between discrete and continuous data.
Partial Judges whether a question is statistical. Does not classify the data type.
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- Statistical questions
6.D1.5
Determine the range and the measures of central tendency and compare data sets.
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- Mean, median, mode, and range
6.D1.6
Analyse data in histograms, broken-line graphs and misleading graphs.
Partial Reads a histogram. Does not cover broken-line graphs or ask what makes a graph misleading.
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- Histograms

Probability

6.D2.1
Use fractions, decimals and percents to express the probability of events.
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6.D2.2
Compare the theoretical and experimental probabilities of two independent events.
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- Independent events

Geometric and Spatial Reasoning

6.E1.1
List the geometric properties of quadrilaterals, including diagonals and symmetry.
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6.E1.3
Plot and read coordinates in all four quadrants of a Cartesian plane.
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- Four-quadrant coordinates
6.E1.4
Perform combinations of translations, reflections and rotations up to 360 degrees.
Partial Applies one transformation. Does not combine several.
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- Transformations on a grid

Measurement

6.E2.1
Measure with the appropriate metric units and convert between them.
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- Customary unit conversion
6.E2.2
Use a protractor to measure and construct angles up to 360 degrees.
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- Measuring angles with a protractor
6.E2.3
Use supplementary, complementary, opposite and interior angles to find unknowns.
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- Complementary and supplementary angles
6.E2.4
Find the areas of trapezoids, rhombuses, kites and composite polygons.
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- Area of triangles and quadrilaterals
6.E2.5
Use nets to show the relationship between a solid's faces and its surface area.
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- Surface area and nets
6.E2.6
Determine the surface areas of prisms and pyramids from their faces.
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- Surface area and nets

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 (5) — a strand Math Picnic has never built for, the same decision as the Texas financial literacy strand. This is a gap, not a mismatch.

6.F1.1Describe the advantages and disadvantages of various methods of payment.
6.F1.2Identify types of financial goals and the steps to achieving them.
6.F1.3Describe the factors that help or interfere with reaching financial goals.
6.F1.4Explain interest rates and the fees associated with accounts and loans.
6.F1.5Describe trading, lending, borrowing and donating as ways to distribute resources.

Coding (2) — writing and running code. A printable cannot execute anything, and the execution is the expectation.

6.C3.1Write and execute efficient code involving conditional statements.
6.C3.2Read and alter existing code involving conditional statements.

6.D1.2 — Collect qualitative and quantitative data about a population 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.

6.D1.3 — Select the graph best suited to a data set, including histograms and broken-line 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.

6.D1.4 — Create an infographic using tables, histograms and broken-line 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.

6.E1.2 — Construct three-dimensional objects from their top, front and side views.

Building a solid from three orthographic views. Nothing the engine draws asks for a construction.