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Oklahoma Standards

Oklahoma 6th Grade Math Standards

All 38 Oklahoma math standards for 6th grade, each explained in plain English. The official wording is one click away under each one.

38 standards

Numbers & Operations

17 standards
Read, write, and represent rational numbers expressed as integers, fractions, decimals, percents, and ratios; use these representations in real-world and mathematical situations.
6.N.1.1
Use number lines and models to show positive and negative numbers in context, find opposites, and explain what zero means, like sea level or 0 degrees.
Official wording
Use manipulatives and models (e.g., number lines) to determine positive and negative numbers and their contexts, identify opposites, and explain the meaning of 0 (zero) in a variety of situations.
6.N.1.2
Order and compare integers and positive fractions, decimals and percents using <, > and =, like -5 < -2 or 0.6 > 1/2.
Official wording
Compare and order positive rational numbers, represented in various forms, or integers using the symbols "<", ">", and "=".
6.N.1.3
Explain that a percent means a number out of 100, like 45% is 45 out of 100 or a ratio of 45 to 100.
Official wording
Explain that a percent represents parts “out of 100” and ratios “to 100.”
6.N.1.4
Convert among fractions, mixed numbers, decimals and percents to find equal values, like 1 1/4 = 1.25 = 125%.
Official wording
Determine equivalencies among fractions, mixed numbers, decimals, and percents.
Read, write, and model whole-number and integer operations to solve problems.
6.N.2.1
Estimate sums and differences of integers to check whether an answer makes sense, like -48 + 21 is about -30.
Official wording
Estimate solutions for integer addition and subtraction of problems in order to assess the reasonableness of results.
6.N.2.2
Show adding and subtracting positive and negative integers with number lines, counters or other models.
Official wording
Illustrate addition and subtraction of integers using a variety of representations.
6.N.2.3
Add and subtract positive and negative integers in many settings with reliable methods, like -7 + 3 = -4 and 2 - 9 = -7.
Official wording
Add and subtract integers in a variety of situations; use efficient and generalizable procedures including but not limited to standard algorithms.
6.N.2.4
Spot patterns in powers and perfect squares, and find the value of whole-number powers, like 2⁴ = 16 and 9² = 81.
Official wording
Identify and represent patterns with whole-number exponents and perfect squares. Evaluate powers with whole-number bases and exponents.
6.N.2.5
Tell prime from composite numbers and write whole numbers as products of prime factors with exponents, like 72 = 2³ × 3².
Official wording
Factor whole numbers and express prime and composite numbers as a product of prime factors with exponents.
6.N.2.6
Find greatest common factors and least common multiples, and use them with fractions and to pull a common factor out of a sum, like 36 + 48 = 12 × 7.
Official wording
Determine the greatest common factors and least common multiples. Use common factors and multiples to calculate with fractions, find equivalent fractions, and express the sum of two-digit numbers with a common factor using the distributive property.
Explain and use the concept of ratio and its relationship to other rational numbers and to the multiplication and division of whole numbers. Use ratios to solve problems.
6.N.3.1
Recognize and use ratios to compare two quantities in different ways, and tell a times-as-many comparison from a how-many-more comparison.
Official wording
Identify and use ratios to compare and relate quantities in multiple ways. Recognize that multiplicative comparison and additive comparison are different.
6.N.3.2
Work out how much of one quantity goes with one unit of the other, like $12 for 4 notebooks is $3 per notebook.
Official wording
Determine the unit rate for ratios.
6.N.3.3
Solve problems by connecting ratios, equal fractions, unit rates and percents, like finding 30% of 60 or the better buy.
Official wording
Apply the relationship between ratios, equivalent fractions, unit rates, and percents to solve problems in various contexts.
Multiply and divide decimals, fractions, and mixed numbers; solve real-world and mathematical problems with rational numbers.
6.N.4.1
Round fractions, decimals and mixed numbers to make a quick estimate, then use it to check if a calculated answer is sensible, like 4.9 × 2 1/8 is about 10.
Official wording
Estimate solutions to problems with whole numbers, decimals, fractions, and mixed numbers, and use the estimates to assess the reasonableness of results in the context of the problem.
6.N.4.2
Show multiplying and dividing fractions and decimals with models, linking them to whole-number multiplication and to how the two operations undo each other.
Official wording
Illustrate multiplication and division of fractions and decimals to show connections to fractions, whole number multiplication, and inverse relationships.
6.N.4.3
Multiply and divide fractions and decimals with reliable methods, like 2/3 ÷ 1/4 = 8/3 and 1.5 × 0.4 = 0.6.
Official wording
Multiply and divide fractions and decimals using efficient and generalizable procedures.
6.N.4.4
Solve real situations about money, measurement, shapes and data that need decimal, fraction and mixed-number arithmetic, and explain what the answer means.
Official wording
Use mathematical modeling to solve and interpret problems including money, measurement, geometry, and data requiring arithmetic with decimals, fractions, and mixed numbers.

Algebraic Reasoning & Algebra

6 standards
Recognize and represent relationships between varying quantities; translate from one representation to another; use patterns, tables, graphs, and rules to model and solve mathematical problems.
6.A.1.1
Plot points with integer, half or quarter coordinates in all four quadrants, and see that flipping a coordinate's sign mirrors the point across an axis.
Official wording
Plot integer- and rational-valued (limited to halves and fourths) ordered-pairs as coordinates in all four quadrants and recognize the reflective relationships among coordinates that differ only by their signs.
6.A.1.2
Describe two changing positive quantities with a rule of up to two steps, a table or a graph, and move between any two, like y = 2x + 5.
Official wording
Represent relationships between two varying positive quantities involving no more than two operations with rules, graphs, and tables; translate between any two of these representations.
6.A.1.3
Write and evaluate variable expressions, equations and inequalities from situations, and test whether a given value makes them true, like x + 4 > 9 for x = 6.
Official wording
Use and evaluate variables in expressions, equations, and inequalities that arise from various contexts, including determining when or if, for a given value of the variable, an equation or inequality involving a variable is true or false.
Use properties of arithmetic to generate equivalent numerical expressions and evaluate expressions involving positive rational numbers.
6.A.2.1
Rewrite and evaluate expressions with positive fractions and decimals using the commutative, associative and distributive properties plus order of operations.
Official wording
Generate equivalent expressions and evaluate expressions involving positive rational numbers by applying the commutative, associative, and distributive properties and order of operations to model and solve mathematical problems.
Use equations and inequalities to model and solve mathematical problems and use the idea of maintaining equality to solve equations. Interpret solutions in the original context.
6.A.3.1
Write expressions, equations and inequalities with variables and rational numbers to describe a situation, like 4.5h = 36 for earning $36 at $4.50 an hour.
Official wording
Model mathematical situations using expressions, equations and inequalities involving variables and rational numbers.
6.A.3.2
Solve one-step equations like x + 2.5 = 7 or 3x = 12 with nonnegative rational numbers, graph the answer on a number line, and check it fits the situation.
Official wording
Use number sense and properties of operations and equality to model and solve mathematical problems involving equations in the form x + p = q and px = q, where p and q are nonnegative rational numbers. Graph the solution on a number line, interpret the solution in the original context, and assess the reasonableness of the solution.

Geometry & Measurement

10 standards
Use translations, reflections, and rotations to establish congruence and understand symmetry (not on a coordinate plane).
6.GM.1.1
Predict and draw where a flat shape ends up after a translation, reflection or rotation, and describe the move as a slide, flip or turn.
Official wording
Predict, describe, and apply translations (slides), reflections (flips), and rotations (turns) to a two-dimensional figure.
6.GM.1.2
Explain that slides, flips and turns keep a shape's size and form, and use them to show two figures are congruent.
Official wording
Recognize that translations, reflections, and rotations preserve congruence and use them to show that two figures are congruent.
6.GM.1.3
Find and describe the lines of symmetry in flat shapes, like a square has 4 and a rectangle has 2.
Official wording
Identify and describe the line(s) of symmetry in two-dimensional shapes.
Use mathematical modeling to calculate the area of squares, parallelograms, and triangles to solve problems.
6.GM.2.1
Build and use area formulas for squares and parallelograms, like base × height, and work backward to find a missing side.
Official wording
Develop and use formulas for the area of squares and parallelograms using a variety of methods including but not limited to the standard algorithms and finding unknown measures.
6.GM.2.2
Work out why a triangle's area is half of base × height, use it, and find a missing base or height.
Official wording
Develop and use formulas to determine the area of triangles and find unknown measures.
6.GM.2.3
Find the area of right and other triangles, special four-sided shapes like kites, and polygons split into triangles and other pieces.
Official wording
Find the area of right triangles, other triangles, special quadrilaterals, and polygons that can be decomposed into triangles and other shapes.
Understand and use relationships between angles in geometric figures.
6.GM.3.1
Use vertical, complementary and supplementary angle pairs formed by crossing lines to find missing angles, like 180° - 65° = 115°.
Official wording
Solve problems using the relationships between the angles (vertical, complementary, and supplementary) formed by intersecting lines.
6.GM.3.2
Discover that a triangle's angles always total 180° and use it to find a missing angle, like 180° - 50° - 60° = 70°.
Official wording
Develop and use the fact that the sum of the interior angles of a triangle is 180° to determine missing angle measures in a triangle.
Choose appropriate units of measurement and use ratios to convert within measurement systems to model and solve real-world and mathematical problems.
6.GM.4.1
Estimate weight and capacity in customary and metric units from familiar benchmarks, like a paper clip weighs about 1 gram.
Official wording
Estimate weights and capacities using benchmarks in customary and metric measurement systems with appropriate units.
6.GM.4.2
Convert lengths within one system to solve problems, like 3 miles to feet or 250 centimeters to meters.
Official wording
Solve problems that require the conversion of lengths within the same measurement systems using appropriate units.

Data & Probability

5 standards
Interpret and analyze data.
6.D.1.1
Explain what the mean, median and mode of a data set tell you about the data.
Official wording
Interpret the mean, median, and mode for a set of data.
6.D.1.2
Choose whether the mean, median or mode best describes a data set and defend the choice, like the median when one value is far off.
Official wording
Explain and justify which measure of center (mean, median, or mode) would provide the most descriptive information for a given set of data.
Use probability to model and solve mathematical problems; represent probabilities using fractions and decimals.
6.D.2.1
Place the chance of an event on a scale from impossible to certain, like rolling a 7 on one die is impossible.
Official wording
Represent possible outcomes using a probability continuum from impossible to certain.
6.D.2.2
List all possible outcomes of an experiment with a tree diagram, table or picture, and pick out the ones that match an event.
Official wording
Determine the sample space for a given experiment and determine which members of the sample space are related to certain events. Sample space may be determined by the use of tree diagrams, tables, or pictorial representations.
6.D.2.3
Run simple chance experiments, like flipping a coin 20 times, and compare the results with the expected probability, noting they may differ.
Official wording
Demonstrate simple experiments in which the probabilities are known and compare the resulting relative frequencies with the known probabilities, recognizing that there may be differences between the two results.

The official Oklahoma documents

Oklahoma Academic Standards for Mathematics, Oklahoma State Department of Education.

The plain-English lines are EMStudio's own explanations, shown beside the official wording. They are not part of the standards.