small to large numbers (thousandths to billions) • place value from thousandths to billions, operations with thousandths to billions • numbers used in science, medicine, technology, and media • compare, order, estimate
Put Decimal Numbers in Order Up to 4 Places
Add Two Numbers Up to 5000000
Subtraction with Numbers Up to 5000000
Add and Subtract Decimal Numbers Up to 3 Places
Multiply Two Numbers Up to 100
Multiply 3, 4 Numbers Up to 100
Division with Remainder with Divisor Up to 1000
Mixed Equations with Whole Numbers
multiplication and division facts to 100 (developing computational fluency) • mental math strategies (e.g., the double-double strategy to multiply 23 x 4)
order of operations with whole numbers • includes the use of brackets, but excludes exponents • quotients can be rational numbers
factors and multiples — greatest common factor and least common multiple • prime and composite numbers, divisibility rules, factor trees, prime factor phrase (e.g., 300 = 22 x 3 x 52 ) • using graphic organizers (e.g., Venn diagrams) to compare numbers for common factors and common multiples
improper fractions and mixed numbers • using benchmarks, number line, and common denominators to compare and order, including whole numbers • using pattern blocks, Cuisenaire Rods, fraction strips, fraction circles, grids • birchbark biting
introduction to ratios • comparing numbers, comparing quantities, equivalent ratios • part-to-part ratios and part-to-whole ratios
whole-number percents and percentage discounts • using base 10 blocks, geoboard, 10x10 grid to represent whole number percents • finding missing part (whole or percentage) • 50% = 1/2 = 0.5 = 50:100
multiplication and division of decimals • 0.125 x 3 or 7.2 ÷ 9 • using base 10 block array • birchbark biting
Multiply Decimals with Numbers Up to 10
Multiply Decimals with Numbers Up to 1000
Multiply Decimals with Numbers Up to 100
Multiply Decimals
Inequalities with Decimal Multiplication
Divide Decimals by Whole Numbers
Division with Decimals
Division with Decimal Quotients
Evaluate Expressions with Decimals
increasing and decreasing patterns, using expressions, tables, and graphs as functional relationships • limited to discrete points in the first quadrant • visual patterning (e.g., colour tiles) • Take 3 add 2 each time, 2n + 1, and 1 more than twice a number all describe the pattern 3, 5, 7, … • graphing data on First Peoples language loss, effects of language intervention
one-step equations with whole-number coefficients and solutions • preservation of equality (e.g., using a balance, algebra tiles) • 3x = 12, x + 5 = 11
perimeter of complex shapes. A complex shape is a group of shapes with no holes (e.g., use colour tiles, pattern blocks, tangrams).
area of triangles, parallelograms, and trapezoids • grid paper explorations • deriving formulas • making connections between area of parallelogram and area of rectangle • birchbark biting
angle measurement and classification • straight, acute, right, obtuse, reflex • constructing and identifying; include examples from local environment • estimating using 45°, 90°, and 180° as reference angles • angles of polygons • Small Number stories: Small Number and the Skateboard Park (mathcatcher.irmacs.sfu.ca/stories)
volume and capacity • using cubes to build 3D objects and determine their volume • referents and relationships between units (e.g., cm3, m3, mL, L) • the number of coffee mugs that hold a litre • berry baskets, seaweed drying
triangles • scalene, isosceles, equilateral • right, acute, obtuse • classified regardless of orientation
combinations of transformations • plotting points on Cartesian plane using whole-number ordered pairs • translation(s), rotation(s), and/or reflection(s) on a single 2D shape • limited to first quadrant • transforming, drawing, and describing image • Use shapes in First Peoples art to integrate printmaking (e.g., Inuit, Northwest coastal First Nations, frieze work) (mathcentral.uregina.ca/RR/database/RR.09.01/mcdonald1/)
line graphs • table of values, data set; creating and interpreting a line graph from a given set of data
single-outcome probability, both theoretical and experimental • single-outcome probability events (e.g., spin a spinner, roll a die, toss a coin) • listing all possible outcomes to determine theoretical probability • comparing experimental results with theoretical expectation • Lahal stick games
financial literacy — simple budgeting and consumer math • informed decision making on saving and purchasing • How many weeks of allowance will it take to buy a bicycle?