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Grade 5 Math Courses - Alberta Curriculum

Explore Alberta's Grade 5 math curriculum, covering essential topics from number operations to geometry. Our comprehensive courses guide students through key concepts and problem-solving strategies.

Alberta Grade 5 Math Curriculum - StudyPug

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Learning Outcome-Skills & Procedures
StudyPug Topic
AB.LO.G5.1
Analyze patterns in place value: Express numbers within 10 000 000, including decimal numbers to thousandths, using words and numerals; Relate a decimal number to its position on the number line; Compare and order numbers, including decimal numbers; Express the relationship between two numbers using <, >, or =; Round numbers, including decimal numbers, to various places according to context
Rounding numbers
What are decimals?
Representing numbers: Cardinals
Representing numbers: Tally marks
Representing numbers: Word names
Representing numbers: Roman numerals
Representing numbers: Ordinals
Comparing and ordering decimals and fractions
Compare and order decimals
Whole number place values up to millions
Comparing and ordering numbers up to millions
Comparing and ordering large multi-digit integers
AB.LO.G5.2
Add and subtract within 1 000 000', 'including decimal numbers to thousandths: Add and subtract numbers, including decimal numbers, using standard algorithms; Assess the reasonableness of a sum or difference using estimation; Solve problems using addition and subtraction, including problems involving money
Adding with regrouping (using base ten blocks)
Adding multi-digit numbers
Base ten blocks and numbers
Sums and differences: Word problems
Word problems for decimals and integers
Estimating sums
Estimating Differences
Adding decimals
Subtracting decimals
AB.LO.G5.3
Determine divisibility of natural numbers: Investigate divisibility by natural numbers to 10, including 0; Generalize divisibility tests for 2, 3, and 5; Determine factors of natural numbers using divisibility tests
Divisibility rules
Determining common factors
Arrays and factors
AB.LO.G5.4
Multiply and divide natural numbers within 100 000: Multiply up to 3-digit by 2-digit natural numbers using standard algorithms; Divide 3-digit by 1-digit natural numbers using standard algorithms; Express a quotient with or without a remainder according to context; Assess the reasonableness of a product or quotient using estimation; Solve problems using multiplication and division of natural numbers
Multiplying by 10, 100 and 1000
Multiplying multi-digit numbers
Dividing multiples of 10
Dividing using place value
Dividing using area models
Dividing multi-digit numbers
Products and quotients: Word problems
Estimating products
Estimating quotients
AB.LO.G5.5
Interpret improper fractions: Relate fractions, improper fractions, and mixed numbers to their positions on the number line; Count beyond 1 using fractions with the same denominator; Model fractions, including improper fractions and mixed numbers, using quantities, lengths, and areas; Express improper fractions and mixed numbers symbolically; Compare fractions, including improper fractions and mixed numbers, to benchmarks of 0, 1/2, and 1
What are fractions?
Equivalent fractions
Fraction of a number
Comparing and Ordering Fractions
AB.LO.G5.6
Add and subtract fractions with common denominators: Investigate the composition and decomposition of a quantity within 1 using unit fractions; Express the composition or decomposition of fractions with common denominators as a sum or difference; Compare strategies for adding or subtracting improper fractions to strategies for adding or subtracting mixed numbers; Add and subtract fractions with common denominators within 100, including improper fractions and mixed numbers; Solve problems requiring addition and subtraction of fractions with common denominators
Adding fractions with like denominators
Subtracting fractions with like denominators
Adding and subtracting fractions with unlike denominators
AB.LO.G5.7
Employ ratios to represent relationships between quantities: Express part-part ratios and part-whole ratios of the same whole to describe various situations; Express, symbolically, the same part-whole relationship as a ratio, fraction, decimal, and percentage
Ratios
Converting between decimals and fractions
AB.LO.G5.8
Interpret numerical and algebraic expressions: Evaluate numerical expressions involving addition or subtraction in parentheses according to the order of operations; Relate repeated addition of a variable to the product of a number and a variable; Express the product of a number and a variable using a coefficient; Express the quotient of a variable and a number as a fraction; Recognize a product with a variable, a quotient with a variable, or a number as a single term; Write an algebraic expression involving one or two terms to describe an unknown value; Evaluate an algebraic expression by substituting a given number for the variable
Arithmetic properties: Commutative property
Arithmetic properties: Associative property
Arithmetic properties: Identity property
Arithmetic properties: Distributive property
Applications of the four operations (BEDMAS without exponents)
What are variables in algebra?
Introduction to solving equations with Variables
Introduction to solving patterns in T-tables and equations
AB.LO.G5.9
Investigate symmetry as a geometric property: Recognize symmetry in nature and in First Nations, Métis, and Inuit designs; Investigate symmetry in familiar 2-D and 3-D shapes using hands-on materials or digital applications; Show the line of symmetry of a 2-D shape; Describe the order of rotation symmetry of a 2-D shape; Compare the number of reflection and rotation symmetries of a 2-D shape to the number of equal sides and angles; Classify 2-D shapes according to the number of reflection or rotation symmetries
Classifying triangles
Classifying quadrilaterals
Basics of symmetry
Reflections and rotations of shapes
AB.LO.G5.10
Relate location to position on a grid: Locate a point on a coordinate grid given the coordinates of the point; Describe the location of a point on a coordinate grid using coordinates; Describe the location of a point on a coordinate grid in relation to the location of another point using positional language; Model a polygon on a coordinate grid using coordinates to indicate the vertices; Describe the location of the vertices of a polygon on a coordinate grid using coordinates
Basics of coordinate plane
AB.LO.G5.11
Estimate and calculate area using standard units: Relate a centimetre to a square centimetre; Relate a metre to a square metre; Express the relationship between square centimetres, square metres, and square kilometres; Justify the choice of square centimetres, square metres, or square kilometres as appropriate units to express various areas; Estimate an area by comparing to a benchmark of a square centimetre or square metre; Express the area of a rectangle using standard units given the lengths of its sides; Compare the perimeters of various rectangles with the same area; Describe the rectangle with the least perimeter for a given area; Solve problems involving perimeter and area of rectangles
Area and perimeter of rectangles
Square measure
Calculating and Estimating Area and Perimeter
AB.LO.G5.12
Relate terms to position within an arithmetic sequence: Represent one-to-one correspondence between positions and terms of an arithmetic sequence in a table of values and on a coordinate grid; Describe the graph of an arithmetic sequence as a straight line; Describe a rule, limited to one operation, that expresses correspondence between positions and terms of an arithmetic sequence; Write an algebraic expression, limited to one operation, that represents correspondence between positions and terms of an arithmetic sequence; Determine the missing term in an arithmetic sequence that corresponds to a given position; Solve problems involving an arithmetic sequence
Patterns: Patterns with shapes
Patterns: Number patterns
Patterns: Describing patterns using tables and solving variables
Patterns: Applications of solving problems using patterns
Showing patterns in T-tables
AB.LO.G5.13
Analyze frequency in categorial data: Examine categorized data in tables and graphs; Determine frequency for each category of a set of data by counting individual data points; Identify the mode in various representations of data; Recognize data sets with no mode, one mode, or multiple modes; Justify possible answers to a statistical question using mode; Discuss potential categories for open-ended questions and closed-list questions in relation to the same statistical question; Formulate closed-list questions to collect data to answer a statistical question; Categorize data that was collected using closed-list questions; Organize counts of categorized data in a frequency table; Create various representations of data, including with technology, to interpret frequency
Organizing data
Reading and drawing bar graphs
Frequency tables and dot plots
Units of time
How to read time
Reading 24-hour clock time
How to tell time
Elapsed time
Pictographs
Introduction to mean, median, mode, and range
AB.LO.G5.14
Analyze areas of parallelograms and triangles: Rearrange the area of a parallelogram to form a rectangular area using hands-on materials or digital applications; Determine the area of a parallelogram using multiplication; Determine the base or height of a parallelogram using division; Model the area of a parallelogram as two congruent triangles; Describe the relationship between the area of a triangle and the area of a parallelogram with the same base and height; Determine the area of a triangle, including various triangles with the same base and height; Solve problems involving the areas of parallelograms and triangles; Visualize the decomposition of composite areas in various ways; Determine the area of composite shapes using the areas of triangles and parallelograms
Area and perimeter of triangles
Area and perimeter of parallelograms
AB.LO.G5.15
Interpret and express volume: Recognize volume in familiar contexts; Model volume of prisms by dragging or iterating an area using hands-on materials or digital applications; Create a model of a three-dimensional shape by stacking congruent non-standard units or cubic centimetres without gaps or overlaps; Express volume in non-standard units or cubic centimetres; Visualize and model the volume of various right rectangular prisms as three-dimensional arrays of cube-shaped units; Determine the volume of a right rectangular prism using multiplication; Solve problems involving volume of right rectangular prisms
Classifying 3D shapes
Drawing 3D shapes
Cubic measure
Introduction to volume of rectangular prisms
AB.LO.G5.16
Investigate functions to enhance understanding of change: Identify the dependent and independent variables in a given situation, including situations involving change over time; Describe the rule that determines the values of the dependent variable from values of the independent variable; Represent corresponding values of the independent and dependent variables of a function in a table of values and as points in the Cartesian plane; Write an algebraic expression that represents a function; Recognize various representations of the same function; Determine a value of the dependent variable of a function given the corresponding value of the independent variable; Investigate strategies for determining a value of the independent variable of a function given the corresponding value of the dependent variable; Solve problems involving a function
Representing patterns in linear relations
Reading linear relation graphs
Solving linear equations by graphing

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