Math Games

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perfect squares and cubes • using colour tiles, pictures, or multi-link cubes • building the number or using prime factorization

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square and cube roots • finding the cube root of 125 • finding the square root of 16/169 • estimating the square root of 30

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percents less than 1 and greater than 100 (decimal and fractional percents) • A worker’s salary increased 122% in three years. If her salary is now $93,940, what was it originally? • What is ½% of 1 billion? • The population of Vancouver increased by 3.25%. What is the population if it was approximately 603,500 people last year? • beading

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numerical proportional reasoning (rates, ratio, proportions, and percent) • two-term and three-term ratios, real-life examples and problems • A string is cut into three pieces whose lengths form a ratio of 3:5:7. If the string was 105 cm long, how long are the pieces? • creating a cedar drum box of proportions that use ratios to create differences in pitch and tone • paddle making

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operations with fractions (addition, subtraction, multiplication, division, and order of operations) • includes the use of brackets, but excludes exponents • using pattern blocks or Cuisenaire Rods • simplifying ½ ÷ 9/6 x (7 – 4/5) • drumming and song: 1/2, 1/4, 1/8, whole notes, dot bars, rests = one beat • changing tempos of traditional songs dependent on context of use • proportional sharing of harvests based on family size

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discrete linear relations (extended to larger numbers, limited to integers) • two-variable discrete linear relations • expressions, table of values, and graphs • scale values (e.g., tick marks on axis represent 5 units instead of 1) • four quadrants, integral coordinates

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expressions- writing and evaluating using substitution • using an expression to describe a relationship • evaluating 0.5n – 3n + 25, if n = 14

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two-step equations with integer coefficients, constants, and solutions • solving and verifying 3x – 4 = –12 • modelling the preservation of equality (e.g., using a balance, manipulatives, algebra tiles, diagrams) • spirit canoe journey calculations

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Pythagorean theorem • modelling the Pythagorean theorem • finding a missing side of a right triangle • deriving the Pythagorean theorem • constructing canoe paths and landings given current on a river • First Peoples constellations

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surface area and volume of regular solids, including triangular and other right prisms and cylinders • exploring strategies to determine the surface area and volume of a regular solid using objects, a net, 3D design software • volume = area of the base x height • surface area = sum of the areas of each side

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construction, views, and nets of 3D objects • top, front, and side views of 3D objects • matching a given net to the 3D object it represents • drawing and interpreting top, front, and side views of 3D objects • constructing 3D objects with nets • using design software to create 3D objects from nets • bentwood boxes, lidded baskets, packs

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central tendency • mean, median, and mode

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theoretical probability with two independent events • with two independent events: sample space (e.g., using tree diagram, table, graphic organizer) • rolling a 5 on a fair die and flipping a head on a fair coin is 1/6 x ½ = 1/12 • deciding whether a spinner in a game is fair

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financial literacy — best buys • coupons, proportions, unit price, products and services • proportional reasoning strategies (e.g., unit rate, equivalent fractions given prices and quantities)