6.A.3Represent fractions, decimals, percentages, exponents and scientific notation in equivalent forms.
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6.B.3aSolve practical computation problems involving whole numbers, integers and rational numbers.
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6.B.3bApply primes, factors, divisors, multiples, common factors and common multiples in solving problems.
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6.B.3cIdentify and apply properties of real numbers including pi, squares, and square roots.
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6.C.3aSelect computational procedures and solve problems with whole numbers, fractions, decimals, percents and proportions.
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6.C.3bShow evidence that computational results using whole numbers, fractions, decimals, percents and proportions are correct and/or that estimates are reasonable.
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6.D.3Apply ratios and proportions to solve practical problems.
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7.A.3aMeasure length, capacity, weight/mass and angles using sophisticated instruments (e.g., compass, protractor, trundle wheel).
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7.A.3bApply the concepts and attributes of length, capacity, weight/mass, perimeter, area, volume, time, temperature and angle measures in practical situations.
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7.B.3Select and apply instruments including rulers and protractors and units of measure to the degree of accuracy required.
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7.C.3aConstruct a simple scale drawing for a given situation.
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7.C.3bUse concrete and graphic models and appropriate formulas to find perimeters, areas, surface areas and volumes of two- and three-dimensional regions.
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8.C.3Apply the properties of numbers and operations including inverses in algebraic settings derived from economics, business and the sciences.
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8.D.3aSolve problems using numeric, graphic or symbolic representations of variables, expressions, equations and inequalities.
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8.D.3bPropose and solve problems using proportions, formulas and linear functions
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8.D.3cApply properties of powers, perfect squares and square roots.
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9.A.3aDraw or construct two- and three- dimensional geometric figures including prisms, pyramids, cylinders and cones.
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9.A.3bDraw transformation images of figures, with and without the use of technology.
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9.A.3cUse concepts of symmetry, congruency, similarity, scale, perspective, and angles to describe and analyze two- and three-dimensional shapes found in practical applications (e.g., geodesic domes, A-frame houses, basketball courts, inclined planes, art forms, blueprints).
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9.B.3Identify, describe, classify and compare two- and three- dimensional geometric figures and models according to their properties.
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9.C.3aConstruct, develop and communicate logical arguments (informal proofs) about geometric figures and patterns.
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9.C.3bDevelop and solve problems using geometric relationships and models, with and without the use of technology.
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9.D.3Compute distances, lengths and measures of angles using proportions, the Pythagorean theorem and its converse.
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