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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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7.13Integer Addition and Subtraction Rules15
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7.14Integer Multiplication and Division Rules15
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7.15Complete Addition and Subtraction Sentences with Integers20
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7.16Complete the Mixed Equation Sentence20
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7.17Understanding Integers5
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7.18Integers: Understanding Integers5
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7.19Complete Addition and Subtraction Sentences with Integers15
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7.20Add and Subtract Integers15
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7.52Absolute Value and Opposite Integers20
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7.68Put Rational Numbers in Order15
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7.69Integer Inequalities with Absolute Values10
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7.70Add and Subtract Integers20
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7.71Multiply and Divide Integers15
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7.72Order of Operations5
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7.73Evaluate Expressions Involving Integers20
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7.74Simplify Expressions Involving Integers20
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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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7.5Estimate Sums and Differences of Decimals Up to 10015
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7.6Estimate Sums, Differences and Products of Decimals15
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7.7Estimate Products of Decimal Numbers15
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7.21Add and Subtract Decimals Up to 1020
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7.22Add and Subtract Decimal Up to 10015
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7.23Add and Subtract Decimals15
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7.24Multiply Decimals and Whole Numbers20
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7.25Divide Decimals by Whole Numbers15
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7.26Mixed Decimal Equations20
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7.27Maps with Decimal Distances5
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7.75Add and Subtract Decimal Numbers15
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7.76Mixed Equations with Decimals15
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7.77Multiply Decimals5
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7.78Multiply Decimals with Numbers Up to 10015
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7.79Divide Decimals15
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7.80Multi Step Inequalities with Decimals15
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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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7.28Compare Fractions15
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7.29Equivalent Ratios15
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7.30Compare Ratios5
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7.55Choose the Equivalent Fraction Up to Twentieths20
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7.56Choose the Equivalent Fraction15
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7.57Reduce to Lowest Terms20
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7.58Reducing Fractions to Lowest Terms15
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7.59Convert Between Improper Fractions and Mixed Numbers15
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7.60Convert Between Decimals and Fractions or Mixed Numbers10
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7.61Equivalent Ratios5
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7.62Equivalent Ratios5
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7.63Convert Between Percents, Fractions and Decimals15
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7.81Put Decimal Numbers in Order with Numbers Up to 520
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7.82Compare Fractions15
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7.83Compare Mixed Numbers and Improper Fractions15
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7.84Compare Percents to Fractions and Decimals15
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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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7.40Interpret Double Bar Graphs5
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7.41Interpret Double Line Graphs5
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7.42Interpret Bar Graphs5
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7.43Interpret Line Graphs5
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7.48Graph Linear Functions15
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7.49Graph a Line from an Equation10
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7.50Graph a Line from a Function Table10
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7.64Function Tables15
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7.65Write Linear Functions10
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7.66Complete a Function Table10
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7.67Write a Rule for a Function Table10
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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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7.44Circles5
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7.54Parts of a Circle5
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7.85Circles: Calculate Area, Radius, Circumference5
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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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7.53Coordinate Graphs Review10
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7.87Coordinate Graphs with Decimals and Negative Numbers15
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7.88Coordinate Graphs Review with Whole Numbers10
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7.89Relative Coordinates15
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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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7.51Identify Reflections, Rotations and Translations5
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7.90Translations: Graph the Image5
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7.91Translations Find the Coordinates10
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7.92Reflections: Graph the Image5
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7.93Reflections Find the Coordinates10
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7.94Rotations: Graph the Image10
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7.95Rotations Find the Coordinates10
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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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7.45Interpret Circle Graphs5
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7.96Circle Graphs and Central Angles5
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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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7.3Making Predictions5
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7.4Prediction Problems5
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7.97Experimental Probability15
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7.98Probability Problems5
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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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7.8Estimate Tips15
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7.31Mixed Equations with Money Amounts10
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7.32Price Lists20
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7.33Consumer Math: Price Lists15
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7.34Consumer Math: Unit Prices20
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7.35Unit Prices: Find the Total15
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7.36Percent of a Number: Tax, Discount, Tip20
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7.37Find the Percent: Tax, Discount15
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7.38Sale Prices: Find the Original Price15
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7.99Percents of Numbers and Money Amounts5
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7.100Percents with Multi-Step Problems15
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7.FL.6.1