multiplication and division facts to 100 (extending computational fluency) • When multiplying 214 by 5, we can multiply by 10, then divide by 2 to get 1070.
operations with integers (addition, subtraction, multiplication, division, and order of operations) • addition, subtraction, multiplication, division, and order of operations • concretely, pictorially, symbolically • order of operations includes the use of brackets, excludes exponents • using two-sided counters • 9–(–4) = 13 because –4 is 13 away from +9 • extending whole-number strategies to decimals
operations with decimals (addition, subtraction, multiplication, division, and order of operations) • includes the use of brackets, but excludes exponents
relationships between decimals, fractions, ratios, and percents • conversions, equivalency, and terminating versus repeating decimals, place value, and benchmarks • comparing and ordering decimals and fractions using the number line • ½ = 0.5 = 50% = 50:100 • shoreline cleanup
discrete linear relations, using expressions, tables, and graphs • four quadrants, limited to integral coordinates • 3n + 2; values increase by 3 starting from y-intercept of 2 • deriving relation from the graph or table of values • Small Number stories: Small Number and the Old Canoe, Small Number Counts to 100 (mathcatcher.irmacs.sfu.ca/stories)
two-step equations with whole-number coefficients, constants, and solutions • solving and verifying 3x + 4 = 16 • modelling the preservation of equality (e.g., using balance, pictorial representation, algebra tiles) • spirit canoe trip pre-planning and calculations • Small Number stories: Small Number and the Big Tree (mathcatcher.irmacs.sfu.ca/stories)
circumference and area of circles • constructing circles given radius, diameter, area, or circumference • finding relationships between radius, diameter, circumference, and area to develop C = π x d formula • applying A = π x r x r formula to find the area given radius or diameter • drummaking, dreamcatcher making, stories of SpiderWoman (Dene, Cree, Hopi, Tsimshian), basket making, quill box making (Note: Local protocols should be considered when choosing an activity.)
volume of rectangular prisms and cylinders • volume = area of base x height • bentwood boxes, wiigwaasabak and mide-wiigwaas (birch bark scrolls) • Exploring Math through Haida Legends: Culturally Responsive Mathematics
Cartesian coordinates and graphing • origin, four quadrants, integral coordinates, connections to linear relations, transformations • overlaying coordinate plane on medicine wheel, beading on dreamcatcher, overlaying coordinate plane on traditional maps
combinations of transformations • four quadrants, integral coordinates • translation(s), rotation(s), and/or reflection(s) on a single 2D shape; combination of successive transformations of 2D shapes; tessellations • First Peoples art, jewelry making, birchbark biting
circle graphs • constructing, labelling, and interpreting circle graphs • translating percentages displayed in a circle graph into quantities and vice versa • visual representations of tidepools or traditional meals on plates
experimental probability with two independent events • experimental probability, multiple trials (e.g., toss two coins, roll two dice, spin a spinner twice, or a combination thereof) • dice games (web.uvic.ca/~tpelton/fn-math/fn-dicegames.html)
financial literacy — financial percentage • financial percentage calculations • sales tax, tips, discount, sale price