IXL Math - North Carolina sixth-grade math standards

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North Carolina

Skills available for North Carolina sixth-grade math standards

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6.NO Number and Operations

6.1 The learner will understand and compute with rational numbers.
6.1.01 Develop number sense for negative rational numbers.
6.1.01.a Connect the model, number word, and number using a variety of representations, including the number line.
6.1.01.b Compare and order.
- Integers: Compare and order integers (Sixth grade - C.4)
6.1.01.c Make estimates in appropriate situations.
6.1.02 Develop meaning for percents.
6.1.02.a Connect the model, number word, and number using a variety of representations.
- Ratios, proportions, and percents: What percentage is illustrated? (Fifth grade - U.8)
- Consumer math: Percents - calculate tax, tip, mark-ups, and more (Sixth grade - G.5)
6.1.02.b Make estimates in appropriate situations.
6.1.03 Compare and order rational numbers.
6.1.04 Develop fluency in addition, subtraction, multiplication, and division of non-negative rational numbers.
6.1.04.a Analyze computational strategies.
6.1.04.b Describe the effect of operations on size.
6.1.04.c Estimate the results of computations.
6.1.04.d Judge the reasonableness of solutions.
6.1.05 Develop fluency in the use of factors, multiples, exponential notation, and prime factorization.
6.1.06 Use exponential, scientific, and calculator notation to write very large and very small numbers.
- Exponents and square roots: Evaluate exponents (Sixth grade - E.2)
- Number theory: Convert between standard and scientific notation (Sixth grade - N.1)
6.1.07 Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.

6.MEA Measurement

6.2 The learner will select and use appropriate tools to measure two- and three-dimensional figures.
6.2.01 Estimate and measure length, perimeter, area, angles, weight, and mass of two- and three-dimensional figures, using appropriate tools.
6.2.02 Solve problems involving perimeter/circumference and area of plane figures.

6.GEO Geometry

6.3 The learner will understand and use properties and relationships of geometric figures in the coordinate plane.
6.3.01 Identify and describe the intersection of figures in a plane.
6.3.02 Identify the radius, diameter, chord, center, and circumference of a circle; determine the relationships among them.
- Geometry: Parts of a circle (Sixth grade - Y.12)
- Geometry: Circles: calculate area, circumference, radius, and diameter (Sixth grade - Y.23)
6.3.03 Transform figures in the coordinate plane and describe the transformation.
- Geometry: Reflection, rotation, and translation (Sixth grade - Y.16)
6.3.04 Solve problems involving geometric figures in the coordinate plane.
- Geometry: Find missing angles and side lengths in triangles and quadrilaterals (Sixth grade - Y.10)

6.DAP Data Analysis and Probability

6.4 The learner will understand and determine probabilities.
6.4.01 Develop fluency with counting strategies to determine the sample space for an event. Include lists, tree diagrams, frequency distribution tables, permutations, combinations, and the Fundamental Counting Principle.
- Charts and graphs: Create frequency tables (Sixth grade - R.5)
- Probability: Combinations (Sixth grade - AA.1)
6.4.02 Use a sample space to determine the probability of an event.
- Probability: Probability of one event (Sixth grade - AA.2)
6.4.03 Conduct experiments involving simple and compound events.
- Probability: Compound events - find the number of outcomes by counting (Sixth grade - AA.5)
6.4.04 Determine and compare experimental and theoretical probabilities for simple and compound events.
- Probability: Make predictions (Sixth grade - AA.3)
6.4.05 Determine and compare experimental and theoretical probabilities for independent and dependent events.
- Probability: Probability of dependent and independent events (Sixth grade - AA.6)
6.4.06 Design and conduct experiments or surveys to solve problems; report and analyze results.

6.ALG Algebra

6.5 The learner will demonstrate an understanding of simple algebraic expressions.
6.5.01 Simplify algebraic expressions and verify the results using the basic properties of rational numbers.
6.5.01.a Identity.
- Add and subtract integers: Properties of addition (Sixth grade - I.3)
- Multiplication: Properties of multiplication (Sixth grade - K.9)
6.5.01.b Commutative.
- Add and subtract integers: Properties of addition (Sixth grade - I.3)
- Multiplication: Properties of multiplication (Sixth grade - K.9)
6.5.01.c Associative.
- Add and subtract integers: Properties of addition (Sixth grade - I.3)
- Multiplication: Properties of multiplication (Sixth grade - K.9)
6.5.01.d Distributive.
- Add and subtract integers: Properties of addition (Sixth grade - I.3)
- Multiplication: Properties of multiplication (Sixth grade - K.9)
6.5.01.e Order of operations.
- Algebra: Simplify expressions using order of operations and parentheses (Fifth grade - P.1)
6.5.02 Use and evaluate algebraic expressions.
6.5.03 Solve simple (one- and two-step) equations or inequalities.
6.5.04 Use graphs, tables, and symbols to model and solve problems involving rates of change and ratios.