Math Games

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

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

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

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

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

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

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

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

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

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

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

central tendency
• mean, median, and mode

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

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