Arkansas State Standards for Mathematics: Grade 6

AR.NO.1. Number and Operations: Number Sense: Students shall understand numbers, ways of representing numbers, relationships among numbers and number systems

NO.1.6.1. Rational Numbers: Demonstrate conceptual understanding to find a specific percent of a number, using models, real-life examples, or explanations

NO.1.6.2. Rational Numbers: Find decimal and percent equivalents for proper fractions and explain why they represent the same value

NO.1.6.3. Rational Numbers: Round and compare decimals to a given place value including thousandths

NO.1.6.4. Rational Numbers: Convert, compare and order fractions (mixed numbers and improper fractions) decimals and percents and find their approximate locations on a number line

NO.1.6.5. Rational Numbers: Recognize and identify perfect squares and their square roots

AR.NO.2. Number and Operations: Properties of Number Operations: Students shall understand meanings of operations and how they relate to one another

NO.2.6.1. Number Theory: Use divisibility rules to determine if a number is a factor of another number (4, 6, 9)

NO.2.6.2. Number Theory: Apply the distributive property of multiplication over addition to simplify computations with whole numbers

NO.2.6.3. Number Theory: Apply the addition, subtraction, multiplication and division properties of equality to one-step equations with whole numbers

NO.2.6.4. Number Theory: Apply rules (conventions) for order of operations to whole numbers with and without parentheses

NO.2.6.5. Number Theory: Model multiplication and division of fractions (including mixed numbers) and decimals using pictures and physical objects

AR.NO.3. Number and Operations: Numerical Operations and Estimation: Students shall compute fluently and make reasonable estimates

NO.3.6.1. Computational Fluency: Apply, with and without appropriate technology, algorithms with computational fluency to perform whole number operations (+, -, x, /)

NO.3.6.2. Computational Fluency: Develop and analyze algorithms for computing with fractions (including mixed numbers) and decimals and demonstrate, with and without technology, computational fluency in their use and justify the solution

NO.3.6.3. Computational Fluency: Solve, with and without appropriate technology, multi-step problems using a variety of methods and tools (i.e., objects, mental computation, paper and pencil)

NO.3.6.4. Estimation: Estimate reasonable solutions to problem situations involving fractions and decimals

NO.3.6.5. Application of Computation: Find and use factorization (tree diagram) including prime factorization of composite numbers (expanded and exponential notation) to determine the greatest common factor (GCF) and least common multiple (LCM)

NO.3.6.6. Application of Computation: Use proportional reasoning and ratios to represent problem situations and determine the reasonableness of solutions with and without appropriate technology

NO.3.6.7. Application of Computation: Determine the percent of a number and solve related problems in real world situations

AR.A.4. Algebra: Patterns, Relations and Functions: Students shall recognize, describe, and develop patterns, relations and functions

A.4.6.1. Patterns, Relations and Functions: Solve problems by finding the next term or missing term in a pattern or function table using real world situations

A.4.6.2. Patterns, Relations and Functions: Interpret and write an algebraic rule for a one-operation function table

AR.A.5. Algebra: Algebraic Representations: Students shall represent and analyze mathematical situations and structures using algebraic symbols

A.5.6.1. Expressions, Equations and Inequalities: Model, write and solve one-step equations by informal methods using manipulatives and appropriate technology

A.5.6.2. Expressions, Equations and Inequalities: Write simple algebraic expressions using appropriate operations (+, -, x, /) with one variable

A.5.6.3. Expressions, Equations and Inequalities: Evaluate algebraic expressions with one variable using appropriate properties and operations (+, -, x, /)

AR.A.6. Algebra: Algebraic Models: Students shall develop and apply mathematical models to represent and understand quantitative relationships

A.6.6.1. Algebraic Models and Relationships: Complete, with and without appropriate technology, and interpret tables and line graphs that represent the relationship between two variables in quadrant I

AR.A.7. Algebra: Analysis of Change: Students shall analyze change in various contexts

A.7.6.1. Analyze Change: Identify and compare situations with constant or varying rates of change

AR.G.8. Geometry: Geometric Properties: Students shall analyze characteristics and properties of 2 and 3 dimensional geometric shapes and develop mathematical arguments about geometric relationships

G.8.6.1. Characteristics of Geometric Shapes: Identify three-dimensional geometric figures using models (rectangular prisms, cylinders, cones, pyramids and spheres)

G.8.6.2. Characteristics of Geometric Shapes: Investigate with manipulatives or grid paper what happens to the perimeter and area of a 2- dimensional shape when the dimensions are changed

G.8.6.3. Characteristics of Geometric Shapes: Identify, describe, draw, and classify triangles as equilateral, isosceles, scalene, right, acute, obtuse, and equiangular

G.8.6.4. Characteristics of Geometric Shapes: Draw, label and determine relationships among the radius, diameter, center and circumference (e.g. radius is half the diameter) of a circle

G.8.6.5. Characteristics of Geometric Shapes: Identify similar figures and explore their properties

AR.G.9. Geometry: Transformation of Shapes: Students shall apply transformations and the use of symmetry to analyze mathematical situations

G.9.6.1. Symmetry and Transformations: Identify and describe line and rotational symmetry in two-dimensional shapes, patterns and designs

G.9.6.2. Symmetry and Transformations: Describe positions and orientations of shapes under transformation (translation, reflection and rotation) recognizing the size and shape do not change

AR.G.10. Geometry: Coordinate Geometry: Students shall specify locations and describe spatial relationships using coordinate geometry and other representational systems

G.10.6.1. Coordinate Geometry: Use ordered pairs to plot points in Quadrant 1

G.10.6.2. Coordinate Geometry: Plot points that form the vertices of a geometric figure and draw, identify and classify the figure.

AR.G.11. Geometry: Visualization and Geometric Models: Students shall use visualization, spatial reasoning and geometric modeling

G.11.6.1. Spatial Visualization and Models: Identify two-dimensional patterns (nets) for three dimensional solids, such as prisms, pyramids, cylinders, and cones

AR.M.12. Measurement: Physical Attributes: Students shall use attributes and tools of measurement to describe and compare mathematical and real-world objects

M.12.6.1. Attributes and Tools: Identify and select appropriate units and tools from both systems to measure

M.12.6.2. Attributes and Tools: Make conversions within the same measurement system in real world problems

M.12.6.3. Attributes and Tools: Compare and contrast the differences among linear units, square units, and cubic units

AR.M.13. Measurement: Systems of Measurement: Students shall identify and use units, systems and processes of measurement

M.13.6.1. Attributes and Tools: Solve real world problems involving one elapsed time, counting forward and backward (calendar and clock)

M.13.6.2. Attributes and Tools: Determine which unit of measure or measurement tool matches the context for a problem situation

M.13.6.3. Attributes and Tools: Draw and measure distance to the nearest mm and 1/8 inch accurately

M.13.6.4. Attributes and Tools: Establish and apply formulas to find area and perimeter of triangles, rectangles, and parallelograms

M.13.6.5. Attributes and Tools: Find the distance between two points on a number line

M.13.6.6. Attributes and Tools: Use estimation to check the reasonableness of measurements obtained from use of various instruments (including angle measures)

AR.M.14. Data Analysis and Probability: Data Representation: Students shall formulate questions that can be addressed with data and collect, organize and display

DAP.14.6.1. Collect, organize and display data: Formulate questions, design studies, and collect data about a characteristic shared by two populations or different characteristics within one population

DAP.14.6.2. Collect, organize and display data: Collect data and select appropriate graphical representations to display the data including Venn diagrams

DAP.14.6.3. Collect, organize and display data: Construct and interpret graphs, using correct scale, including line graphs and double-bar graphs

AR.M.15. Data Analysis and Probability: Data Analysis: Students shall select and use appropriate statistical methods to analyze data

DAP.15.6.1. Data Analysis: Interpret graphs such as double line graphs and circle graphs

DAP.15.6.2. Data Analysis: Compare and interpret information provided by measures of central tendencies (mean, median and mode) and measures of spread (range)

AR.M.16. Data Analysis and Probability: Inferences and Predictions: Students shall develop and evaluate inferences and predictions that are based on data

DAP.16.6.1. Data Analysis: Use observations about differences in data to make justifiable inferences

AR.M.17. Data Analysis and Probability: Probability: Students shall understand and apply basic concepts of probability

DAP.17.6.1. Data Analysis: Distinguish between theoretical and experimental probability