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Grade 7 Math Courses - Ontario Curriculum

Explore Ontario's Grade 7 math curriculum, covering essential topics from number sense to financial literacy. Prepare for success with comprehensive course options aligned with provincial standards.

Ontario Grade 7 Math Curriculum - StudyPug Canada

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OE_ID
Expectations
StudyPug Topic
ON.OE.7.B.1.1
B1.1 Rational Numbers: represent and compare whole numbers up to and including one billion, including in expanded form using powers of ten, and describe various ways they are used in everyday life
Introduction to exponents
Place value
Comparing and ordering numbers
ON.OE.7.B.1.2
B1.2 Rational Numbers: identify and represent perfect squares, and determine their square roots, in various contexts
Squares and square roots
Estimating square roots
ON.OE.7.B.1.3
B1.3 Rational Numbers: read, represent, compare, and order rational numbers, including positive and negative fractions and decimal numbers to thousandths, in various contexts
Comparing and ordering rational numbers
Introduction to integer addition
Adding integers
Introduction to integer subtraction
Subtracting integers
Application of integer operations
Negative numbers and opposite numbers
Comparing and Ordering Fractions
ON.OE.7.B.1.4
B1.4 Fractions, Decimals, and Percents: use equivalent fractions to simplify fractions, when appropriate, in various contexts
Using models to add and subtract fractions
Adding fractions with like denominators
Subtracting fractions with like denominators
Adding and subtracting fractions with unlike denominators
Adding and subtracting mixed numbers
Equivalent fractions
ON.OE.7.B.1.5
B1.5 Fractions, Decimals, and Percents: generate fractions and decimal numbers between any two quantities
Converting between decimals, fractions, and percents
ON.OE.7.B.1.6
B1.6 Fractions, Decimals, and Percents: round decimal numbers to the nearest tenth, hundredth, or whole number, as applicable, in various contexts
Rounding numbers
ON.OE.7.B.1.7
B1.7 Fractions, Decimals, and Percents: convert between fractions, decimal numbers, and percents, in various contexts
Percents, fractions, and decimals
Representing percents
ON.OE.7.B.2.1
B2.1 Properties and Relationships: use the properties and order of operations, and the relationships between operations, to solve problems involving whole numbers, decimal numbers, fractions, ratios, rates, and percents, including those requiring multiple steps or multiple operations
Ratios
Rates
Proportions
Order of operations (PEMDAS)
ON.OE.7.B.2.2
B2.2 Math Facts: understand and recall commonly used percents, fractions, and decimal equivalents
Applications of percents
ON.OE.7.B.2.3
B2.3 Mental Math: use mental math strategies to multiply and divide whole numbers and decimal numbers up to thousandths by powers of ten, and explain the strategies used
Multiplying decimals
Dividing decimals
Multiplying decimals by powers of 10
Dividing decimals by power of 10
ON.OE.7.B.2.6
B2.6 Multiplication and Division: multiply and divide fractions by fractions, using tools in various contexts
Multiplying fractions and whole numbers
Dividing fractions with whole numbers
Fractions: Multiplying proper fractions
Multiplying improper fractions and mixed numbers
Dividing fractions and mixed numbers
Applications of fraction operations
ON.OE.7.B.2.7
B2.7 Multiplication and Division: multiply and divide integers, using appropriate strategies, in various contexts
Understanding integer multiplication
Multiplying integers
Understanding integer division
Dividing integers
Applications of integer operations
ON.OE.7.B.2.9
B2.9 Multiplication and Division: use the relationships between multiplication and division, and the distributive property, to multiply and divide decimal numbers by whole numbers, using appropriate tools, in various contexts
Multiplying decimals by integers
Dividing decimals by integers
Word problems for decimals and integers
ON.OE.7.B.2.10
B2.10 Multiplication and Division: identify proportional and non-proportional situations and apply proportional reasoning to solve problems
Identifying proportional relationships
ON.OE.7.C.1.1
C1.1 Patterns: identify and compare a variety of repeating, growing, and shrinking patterns, including patterns found in real-life contexts, and compare linear growing patterns on the basis of their constant rates and initial values
Patterns
ON.OE.7.C.1.2
C1.2 Patterns: create and translate repeating, growing, and shrinking patterns involving whole numbers and decimal numbers using various representations, including algebraic expressions and equations for linear growing patterns
Evaluating algebraic expressions
ON.OE.7.C.1.3
C1.3 Patterns: determine pattern rules and use them to extend patterns, make and justify predictions, and identify missing elements in repeating, growing, and shrinking patterns involving whole numbers and decimal numbers, and use algebraic representations of the pattern rules to solve for unknown values in linear growing patterns
Solving one - step equations: x + a = b
Graphing linear relations
ON.OE.7.C.1.4
C1.4 Patterns: create and describe patterns to illustrate relationships among integers
Cartesian plane
Draw on coordinate planes
ON.OE.7.C.2.1
C2.1 Variables and Expressions: add and subtract monomials with a degree of 1 that involve whole numbers, using tools
Equivalent expressions of polynomials
ON.OE.7.C.2.3
C2.3 Equalities and Inequalities: solve equations that involve multiple terms, whole numbers, and decimal numbers in various contexts, and verify solutions
Solving linear equations using multiplication and division
Solving two-step linear equations: ax + b = c, x/a + b = c
Model and solve one-step linear equations: ax = b, x/a = b
Solving two-step linear equations using addition and subtraction: ax + b = c
ON.OE.7.C.2.4
C2.4 Equalities and Inequalities: solve inequalities that involve multiple terms and whole numbers, and verify and graph the solutions
Express linear inequalities graphically and algebraically
Solving one-step linear inequalities
Solving multi-step linear inequalities
ON.OE.7.D.1.1
D1.1 Data Collection and Organization: explain why percentages are used to represent the distribution of a variable for a population or sample in large sets of data, and provide examples
Representing percents
Percent of a number
ON.OE.7.D.1.2
D1.2 Data Collection and Organization: collect qualitative data and discrete and continuous quantitative data to answer questions of interest about a population, and organize the sets of data as appropriate, including using percentages
Organizing data
ON.OE.7.D.1.3
D1.3 Data Visualization: select from among a variety of graphs, including circle graphs, the type of graph best suited to represent various sets of data; display the data in the graphs with proper sources, titles, and labels, and appropriate scales; and justify their choice of graphs
Circle graphs
Reading and drawing bar graphs
Reading and drawing histograms
Reading and drawing line graphs
Box-and-whisker plots and scatter plots
Reading and drawing Venn diagrams
Stem and leaf plots
Frequency tables and dot plots
ON.OE.7.D.1.5
D1.5 Data Analysis: determine the impact of adding or removing data from a data set on a measure of central tendency, and describe how these changes alter the shape and distribution of the data
Median and mode
Mean
Range and outliers
Application of averages
ON.OE.7.D.1.6
D1.6 Data Analysis: analyse different sets of data presented in various ways, including in circle graphs and in misleading graphs, by asking and answering questions about the data, challenging preconceived notions, and drawing conclusions, then make convincing arguments and informed decisions
Advantages and disadvantages of different graphs
ON.OE.7.D.2.1
D2.1 Probability: describe the difference between independent and dependent events, and explain how their probabilities differ, providing examples
Introduction to probability
Organizing outcomes
ON.OE.7.D.2.2
D2.2 Probability: determine and compare the theoretical and experimental probabilities of two independent events happening and of two dependent events happening
Probability of independent events
Comparing experimental and theoretical probability
ON.OE.7.E.1.1
E1.1 Geometric Reasoning: describe and classify cylinders, pyramids, and prisms according to their geometric properties, including plane and rotational symmetry
Classifying triangles
Parallel and perpendicular line segments
Perpendicular bisectors
Angle bisectors
ON.OE.7.E.1.3
E1.3 Location and Movement: perform dilations and describe the similarity between the image and the original shape
Introduction to transformations
ON.OE.7.E.1.4
E1.4 Location and Movement: describe and perform translations, reflections, and rotations on a Cartesian plane, and predict the results of these transformations
Horizontal and vertical distances
ON.OE.7.E.2.1
E2.1 The Metric System: describe the differences and similarities between volume and capacity, and apply the relationship between millilitres (mL) and cubic centimetres (cm3) to solve problems
Conversions between metric and imperial systems
Introduction to volume
Metric systems
Imperial systems
Conversions involving squares and cubic
ON.OE.7.E.2.3
E2.3 Circles: use the relationships between the radius, diameter, and circumference of a circle to explain the formula for finding the circumference and to solve related problems
Circles and circumference
ON.OE.7.E.2.5
E2.5 Circles: show the relationships between the radius, diameter, and area of a circle, and use these relationships to explain the formula for measuring the area of a circle and to solve related problems
Areas and sectors of circles
ON.OE.7.E.2.6
E2.6 Volume and Surface Area: represent cylinders as nets and determine their surface area by adding the areas of their parts
Surface area of cylinders
ON.OE.7.E.2.7
E2.7 Volume and Surface Area: show that the volume of a prism or cylinder can be determined by multiplying the area of its base by its height, and apply this relationship to find the area of the base, volume, and height of prisms and cylinders when given two of the three measurements
Volume of prisms
Volume of cylinders
Word problems relating volume of prisms and cylinders
ON.OE.7.F.1.5
F1.5 Consumer and Civic Awareness: explain how interest rates can impact savings, investments, and the cost of borrowing to pay for goods and services over time
Simple interest
ON.OE.7.F.1.6
F1.6 Consumer and Civic Awareness: compare interest rates and fees for different accounts and loans offered by various financial institutions, and determine the best option for different scenarios
Taxes, discounts, tips and more

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