Alberta
Math
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 Topics
LO_ID | Learning Outcome-Skills & Procedures | StudyPug Topic |
|---|---|---|
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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