6th Grade Math (Oklahoma Academic Standards)

Number & Operations (N)

• Read, write, and show rational numbers as integers, fractions, decimals, percents, and ratios.
  • 6.N.1.1 Show positive and negative numbers, opposites, and zero with models and number lines.
  • 6.N.1.2 Compare and order positive rational numbers or integers with <, >, and =.
  • 6.N.1.3 Explain that percent means per hundred and that ratios can be written out of 100.
  • 6.N.1.4 Find equivalent fractions, mixed numbers, decimals, and percents.
• Read, write, and model operations with whole numbers and integers to solve problems.
  • 6.N.2.1 Estimate integer sums and differences to judge reasonableness.
  • 6.N.2.2 Show integer addition and subtraction with different representations.
  • 6.N.2.3 Add and subtract integers in many situations with efficient general methods.
  • 6.N.2.4 Find patterns with whole-number exponents and perfect squares and evaluate powers.
  • 6.N.2.5 Factor whole numbers and write primes and composites as products of prime factors.
  • 6.N.2.6 Find greatest common factors and least common multiples and use them with fractions and the distributive property.
• Explain ratios and how they link to rational numbers, multiplication, and division, and solve ratio problems.
  • 6.N.3.1 Compare quantities with ratios in several ways and tell multiplicative from additive comparison.
  • 6.N.3.2 Find unit rates for ratios.
  • 6.N.3.3 Connect ratios, equivalent fractions, unit rates, and percents to solve problems.
• Multiply and divide decimals, fractions, and mixed numbers and solve problems with rational numbers.
  • 6.N.4.1 Estimate with whole numbers, decimals, fractions, and mixed numbers to check answers.
  • 6.N.4.2 Model multiplying and dividing fractions and decimals and show they are inverse operations.
  • 6.N.4.3 Multiply and divide fractions and decimals with efficient general methods.
  • 6.N.4.4 Model and solve money, measurement, geometry, and data problems with rational numbers.

Algebraic Reasoning & Algebra (A)

• Represent relationships between changing quantities and move between patterns, tables, graphs, and rules.
  • 6.A.1.1 Plot integer and half or quarter points in all four quadrants and recognize reflections across axes from sign changes.
  • 6.A.1.2 Show relationships between two positive changing quantities with rules, graphs, and tables.
  • 6.A.1.3 Use and evaluate variables in expressions, equations, and inequalities and test whether they are true.
• Use properties of arithmetic to write equivalent expressions and evaluate positive rational expressions.
  • 6.A.2.1 Write and evaluate equivalent expressions using properties and order of operations.
• Model problems with equations and inequalities, keeping equality to find solutions.
  • 6.A.3.1 Model situations with expressions, equations, and inequalities using variables and rational numbers.
  • 6.A.3.2 Solve x + p = q and px = q for nonnegative rational numbers, and graph and interpret the solutions.

Geometry & Measurement (GM)

• Use translations, reflections, and rotations to show congruence and symmetry.
  • 6.GM.1.1 Predict and carry out translations, reflections, and rotations of flat figures.
  • 6.GM.1.2 Show that these moves keep figures congruent and use them to test congruence.
  • 6.GM.1.3 Find and describe lines of symmetry in flat shapes.
• Model and find the areas of squares, parallelograms, and triangles.
  • 6.GM.2.1 Develop and use area formulas for squares and parallelograms, including finding missing measures.
  • 6.GM.2.2 Develop and use area formulas for triangles and find missing measures.
  • 6.GM.2.3 Find areas of right and other triangles, special quadrilaterals, and polygons that can be split into these shapes.
• Understand and use angle relationships in figures.
  • 6.GM.3.1 Solve problems with vertical, complementary, and supplementary angles from intersecting lines.
  • 6.GM.3.2 Use the 180-degree sum of a triangle's angles to find missing angles.
• Choose suitable units and use ratios to convert within a measurement system.
  • 6.GM.4.1 Estimate weight and capacity using customary and metric benchmarks and units.
  • 6.GM.4.2 Solve problems by converting lengths within one measurement system.

Data & Probability (D)

• Interpret and analyze data.
  • 6.D.1.1 Interpret the mean, median, and mode of a data set.
  • 6.D.1.2 Explain and justify which measure of center best describes a data set.
• Model and solve problems with probability and write probabilities as fractions and decimals.
  • 6.D.2.1 Place outcomes on a probability scale from impossible to certain.
  • 6.D.2.2 Find sample spaces with tree diagrams, tables, or pictures and identify outcomes for an event.
  • 6.D.2.3 Compare relative frequencies from simple experiments with known probabilities and explain differences.