Grade 6
Other Arkansas Mathematics Standards sets
Other Arkansas Mathematics Standards sets
Grade 6
Number Concepts & Computations
-
Rational Numbers
- A.
Use fractions, decimals, integers, and absolute values to represent real-world situations.6.NCC.A
- 1.
Explain positive and negative integers as being opposite values or directions and the meaning of 0 in a real-world context.6.NCC.1
- 2.
Find and plot rational numbers on horizontal and vertical number lines in real-world and mathematical problems.6.NCC.2
- 3.
Compare rational numbers, using inequalities (<,>,≤,≥,≠) and order on a number line.6.NCC.3
- 4.
Interpret the absolute value of numbers for positive or negative quantities in a real-world context.6.NCC.4
- 5.
Convert between fractions, decimals, and percents in real-world and mathematical problems.6.NCC.5
- 1.
- A.
-
Rational Number Operations
- B.
Extend previous knowledge of operations to decimals and fractions, involving positive rational numbers.6.NCC.B
- 6.
Interpret and represent quotients of fractions.<ul><li>Fractions include all forms of fractions.</li></ul>6.NCC.6
- 7.
Solve problems involving the division of fractions in real-world and mathematical problems.<ul><li>Fractions include all forms of fractions.</li></ul>6.NCC.7
- 8.
Divide multi-digit numbers fluently in real-world and mathematical problems.6.NCC.8
- 9.
Use any standard algorithm to fluently add and subtract multi-digit decimals and fractions in real-world and mathematical problems.6.NCC.9
- 10.
Use any standard algorithm to fluently multiply and divide multi-digit decimals and fractions in real-world and mathematical problems.6.NCC.10
- 6.
- B.
-
Common Factors and Multiples
- C.
Use factors and multiples to solve problems.6.NCC.C
- 11.
Solve real-world and mathematical problems with the greatest common factor of two whole numbers less than or equal to 100.6.NCC.11
- 12.
Solve real-world and mathematical problems with the least common multiple of two whole numbers less than or equal to 12.6.NCC.12
- 13.
Use the distributive property and the greatest common factor to rewrite the sum of two whole numbers, 1 through 100.6.NCC.13
- 11.
- C.
-
Proportional Relationships
-
Ratio & Rates
- A.
Understand ratio concepts and use proportional reasoning to solve problems.6.PR.A
- 1.
Use precise ratio language and notation to describe a ratio as a relationship between two quantities.6.PR.1
- 2.
Calculate unit rates to include unit pricing and constant speed.6.PR.2
- 3.
Give examples of unit rates as a ratio that compares two quantities with different units of measure, limited to non-complex fractions.6.PR.3
- 4.
Create various representations to compare ratios and find missing values to solve real-world and mathematical problems.6.PR.4
- 5.
Find a percent of a quantity as a rate per 100 and solve problems involving finding the whole when given a part and the percent.6.PR.5
- 1.
- A.
-
Algebra
-
Expressions
- B.
Extend their understanding of arithmetic to algebraic expressions.6.ALG.B
- 1.
Read and write expressions in real-world or mathematical problems in which letters stand for numbers.6.ALG.1
- 2.
Use mathematical terms to identify parts of an expression, including the names of operations, terms, factors, coefficients, variables, and constants.6.ALG.2
- 3.
Write and evaluate expressions for given values of variables, using order of operations, including expressions with whole number exponents.6.ALG.3
- 4.
Generate equivalent expressions by applying the associative, commutative, distributive, and identity properties.6.ALG.4
- 5.
Identify when two expressions are equivalent by using properties of operations including like terms.6.ALG.5
- 1.
- B.
-
Equations & Inequalities
- C.
Focus on reasoning about and solving equations and inequalities.6.ALG.C
- 6.
Use substitution to determine if a given value in a specified set makes an equation or inequality true.<ul><li>Include the following inequality symbols: <,>,≤,≥,≠</li></ul>6.ALG.6
- 7.
Write and solve one-step equations in real-world and mathematical problems, involving positive rational numbers and zero.6.ALG.7
- 8.
Write, solve, and graph one-step inequalities in real-world and mathematical problems.6.ALG.8
- 6.
- C.
-
Geometry & Measurement
-
Area, Volume, & Surface Area
- A.
Solve problems involving area, volume, and surface area.6.GM.A
- 1.
Find the area of triangles, quadrilaterals, and polygons by composing or decomposing to solve real-world and mathematical problems.6.GM.1
- 2.
Apply the formulas V = lwh and V = Bh to find the volume of right rectangular prisms with fractional edge lengths to solve real-world and mathematical problems, including solving for an unknown dimension.6.GM.2
- 3.
Construct nets of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid, using the nets to find the surface area of these prisms.6.GM.3
- 1.
- A.
-
Coordinate Plane System
- B.
Graph points in all four quadrants.6.GM.B
- 4.
Find and graph pairs of rational numbers in all four quadrants of the coordinate plane in real-world and mathematical problems.6.GM.4
- 5.
Draw polygons in the coordinate plane when given coordinates for the vertices.6.GM.5
- 6.
Use coordinates to calculate vertical and horizontal distances between points with the same x-coordinate or the same y-coordinate to solve real-world and mathematical problems.6.GM.6
- 4.
- B.
-
Conversions
- C.
Apply measurement knowledge to solve real-world problems.6.GM.C
- 7.
Convert measurements within and between the metric and customary measurement systems to solve real-world and mathematical problems.6.GM.7
- 7.
- C.
-
Statistics & Probability
-
Statistical & Nonstatistical
- A.
Recognize that data collected to answer a statistical question can be analyzed by their distributions.6.SP.A
- 1.
Identify the difference between statistical and non-statistical questions and write simple statistical questions that allow variable responses.6.SP.1
- 1.
- A.
-
Measures of Center
- B.
Explore mean, median, and mode.6.SP.B
- 2.
Calculate and interpret any measure of center (mean, median, and mode) of a numerical data set.6.SP.2
- 3.
Determine which measure of center (mean or median) is more appropriate to describe the center of data and justify the choice.6.SP.3
- 4.
Describe how the mean or median is affected by outliers of a numerical data set.6.SP.4
- 2.
- B.
-
Measures of Variation
- C.
Explore range and interquartile range.6.SP.C
- 5.
Calculate and interpret the measure of variation [range and interquartile range (IQR)] of a numerical data set.6.SP.5
- 6.
Determine which measure of variation (range or interquartile range) is more appropriate to describe the shape; justify the choice.6.SP.6
- 5.
- C.
-
Numerical Data
- D.
Summarize and describe distributions.6.SP.D
- 7.
Represent numerical data on a number line, histogram, and box plot.6.SP.7
- 8.
Calculate the relative frequency of an interval of data values when given a histogram.6.SP.8
- 9.
Interpret a box plot to answer statistical questions about a data set.6.SP.9
- 7.
- D.
-
Frequently asked questions
- What grade levels do these standards cover?
- Grade 6
- When were these standards adopted?
- 2023
- Where can I read the official document?
- Arkansas Mathematics Standards
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