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Skills available for Ontario grade 7 math curriculum

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Ontario Curriculum (2005) Ontario Curriculum (2005)

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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
- 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
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
- 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
  - 7.B2.5 add and subtract fractions, including by creating equivalent fractions, in various contexts
- 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
  - 7.B2.7 evaluate and express repeated multiplication of whole numbers using exponential notation, in various contexts
  - 7.B2.8 multiply and divide fractions by fractions, using tools in various contexts
  - 7.B2.9 multiply and divide decimal numbers by decimal numbers, in various contexts
  - 7.B2.10 identify proportional and non-proportional situations and apply proportional reasoning to solve problems

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
  - 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
  - 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
  - 7.C1.4 create and describe patterns to illustrate relationships among integers
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
  - 7.C2.4 solve inequalities that involve multiple terms and whole numbers, and verify and graph the solutions
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
  - 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.8)
  - 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.6)

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
  - 7.E1.4 describe and perform translations, reflections, and rotations on a Cartesian plane, and predict the results of these transformations
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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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

7.B1.3 read, represent, compare, and order rational numbers, including positive and negative fractions and decimal numbers to thousandths, in various contexts

Fractions, Decimals and Percents

7.B1.4 use equivalent fractions to simplify fractions, when appropriate, in various contexts

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

7.B1.7 convert between fractions, decimal numbers, and percents, in various contexts

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

Math Facts

7.B2.2 understand and recall commonly used percents, fractions, and decimal equivalents

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

7.B2.5 add and subtract fractions, including by creating equivalent fractions, in various contexts

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

7.B2.7 evaluate and express repeated multiplication of whole numbers using exponential notation, in various contexts

7.B2.8 multiply and divide fractions by fractions, using tools in various contexts

7.B2.9 multiply and divide decimal numbers by decimal numbers, in various contexts

7.B2.10 identify proportional and non-proportional situations and apply proportional reasoning to solve problems

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

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

7.C1.4 create and describe patterns to illustrate relationships among integers

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

7.C2.2 evaluate algebraic expressions that involve whole numbers and decimal numbers

Equalities and Inequalities

7.C2.3 solve equations that involve multiple terms, whole numbers, and decimal numbers in various contexts, and verify solutions

7.C2.4 solve inequalities that involve multiple terms and whole numbers, and verify and graph the solutions

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

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

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

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

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

7.D2 Probability

Probability

7.D2.1 describe the difference between independent and dependent events, and explain how their probabilities differ, providing examples

7.D2.2 determine and compare the theoretical and experimental probabilities of two independent events happening and of two dependent events happening

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

7.E1.2 draw top, front, and side views, as well as perspective views, of objects and physical spaces, using appropriate scales

Location and Movement

7.E1.3 perform dilations and describe the similarity between the image and the original shape

7.E1.4 describe and perform translations, reflections, and rotations on a Cartesian plane, and predict the results of these transformations

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

7.E2.2 solve problems involving perimeter, area, and volume that require converting from one metric unit of measurement to another

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

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

Volume and Surface Area

7.E2.6 represent cylinders as nets and determine their surface area by adding the areas of their parts

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