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8Grade 8 Standards
Top Mathematicians
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Number
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8.N.1.1
perfect squares and cubes
• using colour tiles, pictures, or multi-link cubes
• building the number or using prime factorization -
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8.N.1.2
square and cube roots
• finding the cube root of 125
• finding the square root of 16/169
• estimating the square root of 30 -
8.N.1.3
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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8.2315
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8.3420
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8.3515
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8.3715
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8.6815
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8.745
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8.7615
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8.775
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8.7815
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8.7915
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8.N.1.4
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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8.1315
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8.205
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8.2115
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8.225
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8.2315
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8.2415
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8.2515
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8.2615
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8.2715
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8.285
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8.295
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8.4010
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8.4210
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8.4310
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8.445
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8.645
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8.6515
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8.6615
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8.6715
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8.745
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8.775
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8.7815
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8.7915
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8.8015
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8.8115
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8.8215
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8.8315
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8.N.1.1
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Computational Fluency
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8.CF.2.1
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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8.1615
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8.1715
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8.5115
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8.5210
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8.8415
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8.8520
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8.8620
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8.8715
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8.8815
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8.8915
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8.9020
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8.9115
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8.9210
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8.935
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8.9415
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8.9510
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8.9620
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8.9720
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8.9820
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8.9915
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8.10015
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8.10115
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8.10215
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8.10315
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8.CF.2.1
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Patterning
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8.P.3.1
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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8.285
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8.415
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8.4210
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8.4310
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8.445
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8.4810
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8.4910
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8.5010
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8.6615
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8.7215
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8.7310
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8.P.3.2
expressions- writing and evaluating using substitution
• using an expression to describe a relationship
• evaluating 0.5n – 3n + 25, if n = 14 -
8.P.3.3
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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8.P.3.1
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Geometry & Measurement
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8.GM.4.1
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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8.385
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8.395
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8.1095
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8.1105
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8.1115
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8.GM.4.2
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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8.475
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8.1085
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8.GM.4.3
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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8.455
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8.465
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8.GM.4.1
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Data & Probability
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8.D.5.1
central tendency
• mean, median, and mode -
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8.210
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8.310
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8.410
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8.510
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8.610
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8.75
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8.85
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8.95
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8.105
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8.115
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8.5410
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8.5510
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8.5610
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8.5710
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8.5810
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8.595
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8.605
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8.615
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8.625
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8.635
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8.D.5.2
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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8.D.5.1
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Financial Literacy
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8.FL.6.1
financial literacy — best buys
• coupons, proportions, unit price, products and services
• proportional reasoning strategies (e.g., unit rate, equivalent fractions given prices and quantities) -
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8.1515
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8.3020
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8.3115
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8.3220
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8.3315
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8.3420
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8.3515
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8.3615
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8.3715
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8.745
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8.FL.6.1