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Math

Grade 8 Math Courses - Ontario Curriculum

Explore Ontario's Grade 8 math curriculum covering number sense, algebra, data management, and geometry. Prepare for high school with our comprehensive learning pathway and expert guidance.

Ontario Grade 8 Math Curriculum - StudyPug Topics

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OE_ID
Expectations
StudyPug Topic
B1. Number Sense : demonstrate an understanding of numbers and make connections to the way numbers are used in everyday life
OE.8.B.1.1
B1.1 Rational and Irrational Numbers: represent and compare very large and very small numbers, including through the use of scientific notation, and describe various ways they are used in everyday life

Scientific notation

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Comparing and ordering rational numbers

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OE.8.B.1.2
B1.2 Rational and Irrational Numbers: describe, compare, and order numbers in the real number system (rational and irrational numbers), separately and in combination, in various contexts
OE.8.B.1.3
B1.3 Rational and Irrational Numbers: estimate and calculate square roots, in various contexts
OE.8.B.1.4
B1.4 Fractions, Decimals, and Percents: use fractions, decimal numbers, and percents, including percents of more than 100% or less than 1%, interchangeably and flexibly to solve a variety of problems
OE.8.B.1.5
B1.5 Fractions, Decimals, and Percents: generate equivalent fractions to simplify computations
OE.8.B.1.6
B1.6 Fractions, Decimals, and Percents: represent and compare positive and negative fractions and decimal numbers to thousandths

Multiplying decimals

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Dividing decimals

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B2. Operations : use knowledge of numbers and operations to solve mathematical problems encountered in everyday life
OE.8.B.2.1
B2.1 Properties and Relationships: use the properties and order of operations, and the relationships between operations, to solve problems involving rational numbers, ratios, rates, and percents, including those requiring multiple steps or multiple operations

Ratios

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Rates

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Proportions

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OE.8.B.2.2
B2.2 Math Facts: understand and recall commonly used square numbers and their square roots
OE.8.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
OE.8.B.2.4
B2.4 Addition and Subtraction: add and subtract integers, using appropriate strategies, in various contexts
OE.8.B.2.5
B2.5 Addition and Subtraction: add and subtract fractions, using appropriate strategies, in various contexts
OE.8.B.2.7
B2.7 Multiplication and Division: multiply and divide integers, using appropriate strategies, in various contexts
OE.8.B.2.8
B2.8 Multiplication and Division: compare proportional situations and determine unknown values in proportional situations, and apply proportional reasoning to solve problems in various contexts
C1. Patterns and Relationships : identify, describe, extend, create, and make predictions about a variety of patterns, including those found in real-life contexts
OE.8.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 and shrinking patterns on the basis of their constant rates and initial values
OE.8.C.1.2
C1.2 Patterns: create and translate repeating, growing, and shrinking patterns involving rational numbers using various representations, including algebraic expressions and equations for linear growing and shrinking patterns
OE.8.C.1.3
C1.3 Patterns: determine pattern rules and use them to extend patterns, make and justify predictions, and identify missing elements in growing and shrinking patterns involving rational numbers, and use algebraic representations of the pattern rules to solve for unknown values in linear growing and shrinking patterns
OE.8.C.1.4
C1.4 Patterns: create and describe patterns to illustrate relationships among rational numbers
C2. Equations and Inequalities : demonstrate an understanding of variables, expressions, equations, and inequalities, and apply this understanding in various contexts
OE.8.C.2.1
C2.1 Variables and Expressions: add and subtract monomials with a degree of 1, and add binomials with a degree of 1 that involve integers, using tools
OE.8.C.2.2
C2.2 Variables and Expressions: evaluate algebraic expressions that involve rational numbers
OE.8.C.2.3
C2.3 Equalities and Inequalities: solve equations that involve multiple terms, integers, and decimal numbers in various contexts, and verify solutions
OE.8.C.2.4
C2.4 Equalities and Inequalities: solve inequalities that involve integers, and verify and graph the solutions
D1. Data Literacy : manage, analyse, and use data to make convincing arguments and informed decisions, in various contexts drawn from real life
OE.8.D.1.1
D1.1 Data Collection and Organization: identify situations involving one-variable data and situations involving two-variable data, and explain when each type of data is needed
OE.8.D.1.2
D1.2 Data Collection and Organization: collect continuous data to answer questions of interest involving two variables, and organize the data sets as appropriate in a table of values
OE.8.D.1.3
D1.3 Data Visualization: select from among a variety of graphs, including scatter plots, 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
OE.8.D.1.4
D1.4 Data Visualization: create an infographic about a data set, representing the data in appropriate ways, including in tables and scatter plots, and incorporating any other relevant information that helps to tell a story about the data
OE.8.D.1.5
D1.5 Data Analysis: use mathematical language, including the terms "strong", "weak", "none", "positive", and "negative", to describe the relationship between two variables for various data sets with and without outliers
OE.8.D.1.6
D1.6 Data Analysis: analyse different sets of data presented in various ways, including in scatter plots 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
D2. Probability : describe the likelihood that events will happen, and use that information to make predictions
OE.8.D.2.1
D2.1 Probability: solve various problems that involve probability, using appropriate tools and strategies, including Venn and tree diagrams
OE.8.D.2.2
D2.2 Probability: determine and compare the theoretical and experimental probabilities of multiple independent events happening and of multiple dependent events happening
E1. Geometric and Spatial Reasoning : describe and represent shape, location, and movement by applying geometric properties and spatial relationships in order to navigate the world around them
OE.8.E.1.1
E1.1 Geometric Reasoning: identify geometric properties of tessellating shapes and identify the transformations that occur in the tessellations
OE.8.E.1.2
E1.2 Geometric Reasoning: make objects and models using appropriate scales, given their top, front, and side views or their perspective views

Scale diagrams

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Similar triangles

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Similar polygons

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OE.8.E.1.3
E1.3 Geometric Reasoning: use scale drawings to calculate actual lengths and areas, and reproduce scale drawings at different ratios
OE.8.E.1.4
E1.4 Location and Movement: describe and perform translations, reflections, rotations, and dilations on a Cartesian plane, and predict the results of these transformations
E2. Measurement : compare, estimate, and determine measurements in various contexts
OE.8.E.2.1
E2.1 The Metric System: represent very large (mega, giga, tera) and very small (micro, nano, pico) metric units using models, base ten relationships, and exponential notation
OE.8.E.2.2
E2.2 Angles: solve problems involving angle properties, including the properties of intersecting and parallel lines and of polygons
OE.8.E.2.3
E2.3 Length, Area, and Volume: solve problems involving the perimeter, circumference, area, volume, and surface area of composite two-dimensional shapes and three-dimensional objects, using appropriate formulas

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