Grade 7 Math Curriculum Ontario

Master the Ontario Grade 7 Math Curriculum with Engaging, High-Touch Tutoring

Comprehensive Support for Grade 7 Algebra, Data Literacy, and Geometry

Ensure your child is fully prepared for Grade 7 Math with Ontario curriculum-aligned lessons and personalized progress updates after every session.

Core Grade 7 Math Study Points

Number Sense & Operations: Students focus on comparing and ordering rational numbers, calculating with perfect squares and square roots, and applying the order of operations (BEDMAS). They also learn to seamlessly convert between fractions, decimals, and percents.
Algebra & Coding: Key concepts include determining pattern rules, solving algebraic expressions and linear equations, and creating computational representations using coding concepts.
Spatial Sense (Geometry & Measurement): The curriculum covers the geometric properties of cylinders, pyramids, and prisms. Students must also calculate the area and circumference of circles, as well as the volume and surface area of various 3D shapes.
Data Literacy & Probability: Important study points involve managing continuous and discrete data, understanding relative frequency, and analyzing data visualizations like circle graphs and histograms.

Skills available for Ontario grade 7 math tutoring curriculum

Objectives: Ontario Curriculum
7.B Number
7.B1 Number Sense
Rational Numbers
7.B1.1 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
7.B1.2 identify and represent perfect squares, and determine their square roots, in various contexts
Square roots of perfect squares (7-K.7)
7.B1.3 read, represent, compare, and order rational numbers, including positive and negative fractions and decimal numbers to thousandths, in various contexts
Integers on number lines (7-B.2)
Graph integers on horizontal and vertical number lines (7-B.3)
Compare and order integers (7-B.9)
Compare and order decimals (7-D.2)
Decimal number lines (7-D.3)
Compare and order fractions (7-F.6)
Compare fractions using benchmarks (7-F.7)
Compare fractions: word problems (7-F.8)
Compare mixed numbers and improper fractions (7-F.10)
Put a mix of decimals, fractions and mixed numbers in order (7-F.12)
Identify rational numbers (7-J.1)
Rational numbers on number lines (7-J.4)
Compare and order rational numbers using number lines (7-J.5)
Compare rational numbers (7-J.6)
Put rational numbers in order (7-J.7)
Fractions, Decimals and Percents
7.B1.4 use equivalent fractions to simplify fractions, when appropriate, in various contexts
Equivalent fractions (7-F.2)
Write fractions in lowest terms (7-F.3)
7.B1.5 generate fractions and decimal numbers between any two quantities
7.B1.6 round decimal numbers to the nearest tenth, hundredth, or whole number, as applicable, in various contexts
Round decimals (7-D.4)
7.B1.7 convert between fractions, decimal numbers, and percents, in various contexts
Convert between mixed numbers and improper fractions (7-F.9)
Convert between decimals and fractions or mixed numbers (7-J.2)
Convert between percents, fractions and decimals (7-N.2)
7.B2 Operations
Properties and Relationships
7.B2.1 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
Add, subtract, multiply and divide decimals: word problems (7-E.10)
Evaluate numerical expressions involving decimals (7-E.13)
Add, subtract, multiply and divide fractions and mixed numbers: word problems (7-J.11)
Evaluate numerical expressions involving fractions (7-J.12)
Price lists (7-O.2)
Unit prices: find the total price (7-O.4)
Multi-step problems with percents (7-O.8)
Multi-step word problems (7-P.2)
Properties of addition and multiplication (7-T.9)
Multiply using the distributive property (7-T.11)
Solve equations using properties (7-T.12)
Write equivalent expressions using properties (7-T.13)
Math Facts
7.B2.2 understand and recall commonly used percents, fractions, and decimal equivalents
Convert between percents, fractions and decimals (7-N.2)
Mental Math
7.B2.3 use mental math strategies to increase and decrease a whole number by 1%, 5%, 10%, 25%, 50%, and 100%, and explain the strategies used
Addition and Subtraction
7.B2.4 use objects, diagrams, and equations to represent, describe, and solve situations involving addition and subtraction of integers
Add integers using counters (7-C.2)
Add integers using number lines (7-C.3)
Add integers (7-C.4)
Add three or more integers (7-C.5)
Subtract integers using counters (7-C.7)
Subtract integers using number lines (7-C.8)
Subtract integers (7-C.9)
Add and subtract integers using counters (7-C.11)
Add and subtract integers (7-C.12)
Add and subtract integers: word problems (7-C.14)
7.B2.5 add and subtract fractions, including by creating equivalent fractions, in various contexts
Add and subtract fractions with like denominators (7-G.1)
Add and subtract fractions with like denominators: word problems (7-G.2)
Add fractions with unlike denominators using models (7-G.3)
Add fractions with unlike denominators (7-G.4)
Subtract fractions with unlike denominators using models (7-G.5)
Subtract fractions with unlike denominators (7-G.6)
Add and subtract fractions with unlike denominators (7-G.8)
Add and subtract fractions with unlike denominators: word problems (7-G.9)
Add and subtract mixed numbers (7-G.13)
Add and subtract mixed numbers: word problems (7-G.14)
Multiplication and Division
7.B2.6 determine the greatest common factor for a variety of whole numbers up to 144 and the lowest common multiple for two and three whole numbers
Greatest common factor (7-A.5)
Least common multiple (7-A.6)
GCF and LCM: word problems (7-A.7)
7.B2.7 evaluate and express repeated multiplication of whole numbers using exponential notation, in various contexts
Understanding exponents (7-K.1)
Evaluate powers (7-K.2)
Solve equations with variable exponents (7-K.3)
7.B2.8 multiply and divide fractions by fractions, using tools in various contexts
Multiply two fractions using models (7-H.7)
Multiply fractions (7-H.8)
Multiply fractions: word problems (7-H.9)
Multiply mixed numbers (7-H.13)
Multiply mixed numbers: word problems (7-H.14)
Divide fractions (7-I.5)
Divide fractions: word problems (7-I.6)
Divide fractions and mixed numbers (7-I.8)
Divide fractions and mixed numbers: word problems (7-I.9)
7.B2.9 multiply and divide decimal numbers by decimal numbers, in various contexts
Multiply a decimal by a multi-digit whole number (7-E.3)
Multiply decimals and whole numbers: word problems (7-E.4)
Multiply decimals (7-E.5)
Divide decimals by whole numbers (7-E.6)
Divide decimals by whole numbers: word problems (7-E.7)
Divide decimals (7-E.8)
7.B2.10 identify proportional and non-proportional situations and apply proportional reasoning to solve problems
Do the ratios form a proportion? (7-L.10)
Do the ratios form a proportion: word problems (7-L.11)
Solve proportions (7-L.12)
Solve proportions: word problems (7-L.13)
Estimate population size using proportions (7-L.14)
7.C Algebra
7.C1 Patterns and Relationships
Patterns
7.C1.1 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
Constant rate of change (7-L.17)
Find the constant of proportionality from a table (7-M.1)
Identify proportional relationships by graphing (7-M.3)
Find the constant of proportionality from a graph (7-M.4)
Identify proportional relationships (7-M.6)
Identify arithmetic and geometric sequences (7-S.1)
7.C1.2 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
Complete a table and graph a proportional relationship (7-M.7)
Interpret graphs of proportional relationships (7-M.8)
Arithmetic sequences (7-S.2)
Geometric sequences (7-S.3)
Evaluate variable expressions for number sequences (7-S.6)
Complete a table for a two-variable relationship (7-W.4)
Identify the graph of an equation (7-W.6)
Graph a two-variable equation (7-W.7)
Interpret a graph: word problems (7-W.8)
7.C1.3 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
Write equations for proportional relationships from tables (7-M.2)
Write equations for proportional relationships from graphs (7-M.5)
Write variable expressions for arithmetic sequences (7-S.7)
Write a two-variable equation (7-W.5)
Write an equation from a graph using a table (7-W.9)
7.C1.4 create and describe patterns to illustrate relationships among integers
Integer addition rules (7-C.1)
Integer subtraction rules (7-C.6)
Integer addition and subtraction rules (7-C.10)
Integer multiplication rules (7-C.16)
Integer division rules (7-C.18)
Integer multiplication and division rules (7-C.21)
7.C2 Equations and Inequalities
Variables and Expressions
7.C2.1 add and subtract monomials with a degree of 1 that involve whole numbers, using tools
Add and subtract like terms (7-T.14)
7.C2.2 evaluate algebraic expressions that involve whole numbers and decimal numbers
Evaluate linear expressions (7-T.3)
Evaluate multi-variable expressions (7-T.4)
Equalities and Inequalities
7.C2.3 solve equations that involve multiple terms, whole numbers, and decimal numbers in various contexts, and verify solutions
Which x satisfies an equation? (7-U.1)
Model and solve equations using algebra tiles (7-U.3)
Write and solve equations that represent diagrams (7-U.4)
Solve one-step equations (7-U.5)
Solve two-step equations (7-U.6)
Solve one and two-step equations with decimals (7-U.7)
Solve one- and two-step equations: word problems (7-U.8)
Solve equations involving like terms (7-U.9)
Solve equations: complete the solution (7-U.10)
7.C2.4 solve inequalities that involve multiple terms and whole numbers, and verify and graph the solutions
Solutions to inequalities (7-V.1)
Solve one-step inequalities (7-V.4)
Graph solutions to one-step inequalities (7-V.5)
One-step inequalities: word problems (7-V.6)
Solve two-step inequalities (7-V.7)
Graph solutions to two-step inequalities (7-V.8)
7.C3 Coding
Coding Skills
7.C3.1 solve problems and create computational representations of mathematical situations by writing and executing efficient code, including code that involves events influenced by a defined count and/or sub-program and other control structures
7.C3.2 read and alter existing code, including code that involves events influenced by a defined count and/or sub-program and other control structures, and describe how changes to the code affect the outcomes and the efficiency of the code
7.D Data
7.D1 Data Literacy
Data Collection and Organization
7.D1.1 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
Identify representative, random and biased samples (7-DD.10)
7.D1.2 collect qualitative data and discrete and continuous quantitative data to answer questions of interest, and organize the sets of data as appropriate, including using percentages
Data Visualization
7.D1.3 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
Choose the best type of graph (7-CC.15)
7.D1.4 create an infographic about a data set, representing the data in appropriate ways, including in tables and circle graphs, and incorporating any other relevant information that helps to tell a story about the data
Circle graphs and central angles (7-CC.12)
Data Analysis
7.D1.5 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
Calculate mean and range (7-DD.1)
Calculate mean, median, mode and range (7-DD.2)
Interpret charts to find mean and range (7-DD.3)
Interpret charts to find mean, median, mode and range (7-DD.4)
Mean and range: find the missing number (7-DD.5)
Mean, median, mode and range: find the missing number (7-DD.6)
Changes in mean and range (7-DD.7)
Changes in mean, median, mode and range (7-DD.8)
7.D1.6 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
Interpret tables (7-CC.1)
Interpret circle graphs (7-CC.11)
7.D2 Probability
Probability
7.D2.1 describe the difference between independent and dependent events, and explain how their probabilities differ, providing examples
Identify independent and dependent events (7-EE.9)
7.D2.2 determine and compare the theoretical and experimental probabilities of two independent events happening and of two dependent events happening
Compound events: find the number of outcomes (7-EE.7)
7.E Spatial Sense
70 Geometric and Spatial Reasoning
Geometric Reasoning
7.E1.1 describe and classify cylinders, pyramids, and prisms according to their geometric properties, including plane and rotational symmetry
Bases of three-dimensional figures (7-AA.1)
7.E1.2 draw top, front, and side views, as well as perspective views, of objects and physical spaces, using appropriate scales
Front, side and top view (7-AA.3)
Location and Movement
7.E1.3 perform dilations and describe the similarity between the image and the original shape
Identify similar figures (7-Y.17)
Dilations: graph the image (7-Y.18)
Dilations: find the coordinates (7-Y.19)
Dilations: scale factor and classification (7-Y.20)
Determine if two figures are similar: justify your answer (7-Y.21)
Side lengths and angle measures of similar figures (7-Y.22)
7.E1.4 describe and perform translations, reflections, and rotations on a Cartesian plane, and predict the results of these transformations
Identify reflections, rotations and translations (7-Y.2)
Translations: graph the image (7-Y.3)
Translations: find the coordinates (7-Y.4)
Reflections: graph the image (7-Y.5)
Reflections: find the coordinates (7-Y.6)
Rotations: graph the image (7-Y.7)
Rotations: find the coordinates (7-Y.8)
700 Measurement
The Metric System
7.E2.1 describe the differences and similarities between volume and capacity, and apply the relationship between millilitres (mL) and cubic centimetres (cm3) to solve problems
Convert between cubic centimetres and millilitres (7-Q.5)
7.E2.2 solve problems involving perimeter, area, and volume that require converting from one metric unit of measurement to another
Perimeter, area and volume: changes in scale (7-BB.21)
Circles
7.E2.3 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
Circumference of circles (7-BB.7)
Circles: word problems (7-BB.9)
7.E2.4 construct circles when given the radius, diameter, or circumference
7.E2.5 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
Area of circles (7-BB.8)
Circles: word problems (7-BB.9)
Volume and Surface Area
7.E2.6 represent cylinders as nets and determine their surface area by adding the areas of their parts
Nets of three-dimensional figures (7-AA.2)
Surface area of cylinders (7-BB.20)
7.E2.7 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
Relationship between volume and the area of the base: word problems (7-BB.16)
Volume of prisms and cylinders (7-BB.17)
7.F Financial Literacy
7.F1 Money and Finances
Money Concepts
7.F1.1 identify and compare exchange rates, and convert foreign currencies to Canadian dollars and vice versa
Financial Management
7.F1.2 identify and describe various reliable sources of information that can help with planning for and reaching a financial goal
7.F1.3 create, track, and adjust sample budgets designed to meet longer-term financial goals for various scenarios
Adjust a budget (8-L.12)
7.F1.4 identify various societal and personal factors that may influence financial decision making, and describe the effects that each might have
Consumer and Civic Awareness
7.F1.5 explain how interest rates can impact savings, investments, and the cost of borrowing to pay for goods and services over time
Simple interest (7-O.10)
7.F1.6 compare interest rates and fees for different accounts and loans offered by various financial institutions, and determine the best option for different scenarios
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