Ontario
Math
Discover comprehensive Grade 4 math courses aligned with Ontario's curriculum. Our program covers number sense, algebra, geometry, and data management, providing a solid foundation for future mathematical success.
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.4.B.1.1 | B1.1 Whole Numbers: read, represent, compose, and decompose whole numbers up to and including 10 000, using appropriate tools and strategies, and describe various ways they are used in everyday life |
OE.4.B.1.3 | B1.3 Whole Numbers: round whole numbers to the nearest ten, hundred, or thousand, in various contexts |
OE.4.B.1.4 | B1.4 Fractions and Decimals: represent fractions from halves to tenths using drawings, tools, and standard fractional notation, and explain the meanings of the denominator and the numerator |
OE.4.B.1.5 | B1.5 Fractions and Decimals: use drawings and models to represent, compare, and order fractions representing the individual portions that result from two different fair-share scenarios involving any combination of 2, 3, 4, 5, 6, 8, and 10 sharers |
OE.4.B.1.7 | B1.7 Fractions and Decimals: read, represent, compare, and order decimal tenths, in various contexts |
OE.4.B.1.8 | B1.8 Fractions, Decimals, and Percents: round decimal numbers to the nearest whole number, in various contexts |
OE.4.B.1.9 | B1.9 Fractions, Decimals, and Percents: describe relationships and show equivalences among fractions and decimal tenths, in various contexts |
B2. Operations : use knowledge of numbers and operations to solve mathematical problems encountered in everyday life | ||
OE.4.B.2.1 | B2.1 Properties and Relationships: use the properties of operations, and the relationships between operations, to solve problems involving whole numbers and decimal numbers, including those requiring more than one operation, and check calculations |
OE.4.B.2.2 | B2.2 Math Facts: recall and demonstrate multiplication facts for 1 × 1 to 10 × 10, and related division facts |
OE.4.B.2.3 | B2.3 Mental Math: use mental math strategies to multiply whole numbers by 10, 100, and 1000, divide whole numbers by 10, and add and subtract decimal tenths, and explain the strategies used |
OE.4.B.2.4 | B2.4 Addition and Subtraction: represent and solve problems involving the addition and subtraction of whole numbers that add up to no more than 10 000 and of decimal tenths, using appropriate tools and strategies, including algorithms |
OE.4.B.2.5 | B2.5 Multiplication and Division: represent and solve problems involving the multiplication of two-digit whole numbers by two-digit whole numbers using the area model and using algorithms, and make connections between the two methods |
OE.4.B.2.6 | B2.6 Multiplication and Division: represent and solve problems involving the division of three-digit whole numbers by two-digit whole numbers using the area model and using algorithms, and make connections between the two methods, while expressing any remainder appropriately |
OE.4.B.2.7 | B2.7 Multiplication and Division: represent the relationship between the repeated addition of a unit fraction and the multiplication of that unit fraction by a whole number, using tools, drawings, and standard fractional notation |
OE.4.B.2.8 | B2.8 Multiplication and Division: show simple multiplicative relationships involving whole-number rates, using various tools and drawings |
C1. Patterns and Relationships : identify, describe, extend, create, and make predictions about a variety of patterns, including those found in real-life contexts | ||
OE.4.C.1.1 | C1.1 Patterns: identify and describe repeating and growing patterns, including patterns found in real-life contexts |
OE.4.C.1.2 | C1.2 Patterns: create and translate repeating and growing patterns using various representations, including tables of values and graphs |
OE.4.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 and growing patterns |
C2. Equations and Inequalities : demonstrate an understanding of variables, expressions, equalities, and inequalities, and apply this understanding in various contexts | ||
OE.4.C.2.1 | C2.1 Variables and Expressions: identify and use symbols as variables in expressions and equations |
OE.4.C.2.2 | C2.2 Variables and Expressions: evaluate algebraic expressions that involve whole numbers |
OE.4.D.1.2 | D1.2 Data Collection and Organization: collect data from different primary and secondary sources to answer questions of interest that involve comparing two or more sets of data, and organize the data in frequency tables and stem-and-leaf plots |
OE.4.D.1.3 | D1.3 Data Visualization: select from among a variety of graphs, including multiple-bar 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 |
OE.4.D.1.4 | D1.4 Data Visualization: create an infographic about a data set, representing the data in appropriate ways, including in frequency tables, stem-and-leaf plots, and multiple-bar graphs, and incorporating any other relevant information that helps to tell a story about the data |
OE.4.D.1.5 | D1.5 Data Analysis: determine the mean and the median and identify the mode(s), if any, for various data sets involving whole numbers, and explain what each of these measures indicates about the data |
D2. Probability : describe the likelihood that events will happen, and use that information to make predictions | ||
OE.4.D.2.1 | D2.1 Probability: use mathematical language, including the terms "impossible", "unlikely", "equally likely", "likely", and "certain", to describe the likelihood of events happening, represent this likelihood on a probability line, and use it to make predictions and informed decisions |
OE.4.D.2.2 | D2.2 Probability: make and test predictions about the likelihood that the mode(s) of a data set from one population will be the same for data collected from a different population |
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.4.E.1.1 | E1.1 Geometric Reasoning: identify geometric properties of rectangles, including the number of right angles, parallel and perpendicular sides, and lines of symmetry |
OE.4.E.1.2 | E1.2 Location and Movement: plot and read coordinates in the first quadrant of a Cartesian plane, and describe the translations that move a point from one coordinate to another |
OE.4.E.1.3 | E1.3 Location and Movement: describe and perform translations and reflections on a grid, and predict the results of these transformations |
E2. Measurement : compare, estimate, and determine measurements in various contexts | ||
OE.4.E.2.1 | E2.1 The Metric System: explain the relationships between grams and kilograms as metric units of mass, and between litres and millilitres as metric units of capacity, and use benchmarks for these units to estimate mass and capacity |
OE.4.E.2.2 | E2.2 The Metric System: use metric prefixes to describe the relative size of different metric units, and choose appropriate units and tools to measure length, mass, and capacity |
OE.4.E.2.3 | E2.3 Time: solve problems involving elapsed time by applying the relationships between different units of time |
OE.4.E.2.5 | E2.5 Area: use the row and column structure of an array to measure the areas of rectangles and to show that the area of any rectangle can be found by multiplying its side lengths |
OE.4.E.2.6 | E2.6 Area: apply the formula for the area of a rectangle to find the unknown measurement when given two of the three |