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7Grade 7 Standards
Top Mathematicians
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Number
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7.N.1.1
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. -
7.N.1.2
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 -
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7.1315
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7.1415
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7.1520
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7.1620
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7.175
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7.185
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7.1915
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7.2015
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7.5220
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7.6815
-
7.6910
-
7.7020
-
7.7115
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7.725
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7.7320
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7.7420
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7.N.1.3
operations with decimals (addition, subtraction, multiplication, division, and order of operations)
• includes the use of brackets, but excludes exponents -
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7.515
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7.615
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7.715
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7.2120
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7.2215
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7.2315
-
7.2420
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7.2515
-
7.2620
-
7.275
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7.7515
-
7.7615
-
7.775
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7.7815
-
7.7915
-
7.8015
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7.N.1.1
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Computational Fluency
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7.CF.2.1
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 -
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7.2815
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7.2915
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7.305
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7.5520
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7.5615
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7.5720
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7.5815
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7.5915
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7.6010
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7.615
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7.625
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7.6315
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7.8120
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7.8215
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7.8315
-
7.8415
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7.CF.2.1
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Patterning
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7.P.3.1
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) -
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7.405
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7.415
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7.425
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7.435
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7.4815
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7.4910
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7.5010
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7.6415
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7.6510
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7.6610
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7.6710
-
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7.P.3.2
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) -
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7.P.3.1
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Geometry & Measurement
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7.GM.4.1
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.) -
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7.445
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7.545
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7.855
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7.GM.4.2
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 -
7.GM.4.3
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 -
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7.5310
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7.8715
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7.8810
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7.8915
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7.GM.4.4
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 -
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7.515
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7.905
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7.9110
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7.925
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7.9310
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7.9410
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7.9510
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7.GM.4.1
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Data & Probability
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7.D.5.1
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 -
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7.455
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7.965
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7.D.5.2
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) -
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7.35
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7.45
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7.9715
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7.985
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7.D.5.1
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Financial Literacy
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7.FL.6.1
financial literacy — financial percentage
• financial percentage calculations
• sales tax, tips, discount, sale price -
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7.815
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7.3110
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7.3220
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7.3315
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7.3420
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7.3515
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7.3620
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7.3715
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7.3815
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7.995
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7.10015
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7.FL.6.1