6.A.3 Represent fractions, decimals, percentages, exponents and scientific notation in equivalent forms.

6.B.3a Solve practical computation problems involving whole numbers, integers and rational numbers.

6.B.3b Apply primes, factors, divisors, multiples, common factors and common multiples in solving problems.

6.B.3c Identify and apply properties of real numbers including pi, squares, and square roots.

6.C.3a Select computational procedures and solve problems with whole numbers, fractions, decimals, percents and proportions.

6.C.3b Show evidence that computational results using whole numbers, fractions, decimals, percents and proportions are correct and/or that estimates are reasonable.

6.D.3 Apply ratios and proportions to solve practical problems.

7.A.3a Measure length, capacity, weight/mass and angles using sophisticated instruments (e.g., compass, protractor, trundle wheel).

7.A.3b Apply the concepts and attributes of length, capacity, weight/mass, perimeter, area, volume, time, temperature and angle measures in practical situations.

7.B.3 Select and apply instruments including rulers and protractors and units of measure to the degree of accuracy required.

7.C.3a Construct a simple scale drawing for a given situation.

7.C.3b Use concrete and graphic models and appropriate formulas to find perimeters, areas, surface areas and volumes of two- and three-dimensional regions.

8.A.3a Apply the basic properties of commutative, associative, distributive, transitive, inverse, identity, zero, equality and order of operations to solve problems.

8.A.3b Solve problems using linear expressions, equations and inequalities.

8.B.3 Use graphing technology and algebraic methods to analyze and predict linear relationships and make generalizations from linear patterns.

8.C.3 Apply the properties of numbers and operations including inverses in algebraic settings derived from economics, business and the sciences.

8.D.3a Solve problems using numeric, graphic or symbolic representations of variables, expressions, equations and inequalities.

8.D.3b Propose and solve problems using proportions, formulas and linear functions.

8.D.3c Apply properties of powers, perfect squares and square roots.

9.A.3a Draw or construct two- and three- dimensional geometric figures including prisms, pyramids, cylinders and cones.

9.A.3b Draw transformation images of figures, with and without the use of technology.

9.A.3c Use 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).

9.B.3 Identify, describe, classify and compare two- and three- dimensional geometric figures and models according to their properties.

9.C.3a Construct, develop and communicate logical arguments (informal proofs) about geometric figures and patterns.

9.C.3b Develop and solve problems using geometric relationships and models, with and without the use of technology.

9.D.3 Compute distances, lengths and measures of angles using proportions, the Pythagorean theorem and its converse.

10.A.3a Construct, read and interpret tables, graphs (including circle graphs) and charts to organize and represent data.

10.A.3b Compare the mean, median, mode and range, with and without the use of technology.

10.A.3c Test the reasonableness of an argument based on data and communicate their findings.

10.B.3 Formulate questions (e.g., relationships between car age and mileage, average incomes and years of schooling), devise and conduct experiments or simulations, gather data, draw conclusions and communicate results to an audience using traditional methods and contemporary technologies.

10.C.3a Determine the probability and odds of events using fundamental counting principles.

10.C.3b Analyze problem situations (e.g., board games, grading scales) and make predictions about results.