Oklahoma P.A.S.S. Standards

Priority Academic Student Skills

MATHEMATICS CONTENT STANDARDS

Grade 6

The following concepts and skills are required by all students completing sixth grade. The Major Concepts should be taught in depth using a variety of methods and applications so that all students have accessibility to and an understanding of these concepts. Maintenance Concepts have been taught previously and are a necessary foundation for success in mathematics at this level.

MAJOR CONCEPTS

Algebraic Reasoning -

Algebraic Expressions Number Sense -

Fractions, Order of Operations

Geometry -

Angles, Congruency, Similarity,

Basic Transformations Measurement -Circles,

Customary & Metric Estimates Data Analysis and Statistics -

Interpret Data and Graphs, Median,

Mode

MAINTENANCE CONCEPTS

Patterns and Algebraic Reasoning-Algebraic Expressions and Equations Number Sense -

Fractions, Decimals, & Percents Decimals to the lOOOths place Number Operations and Computation-Multiplication and Division Algorithms, Decimals - Add, Subtract, Multiply, Divide Geometry and Measurement -Classify 2- and 3-Dimensional Shapes, Perimeter, Area Customary & Metric Measurements

Data Analysis and Probability Interpret Tables and Graphs, Range, Mean, Probability

Standard 1: Algebraic Reasoning - The student will use algebraic methods to describe patterns and simplify algebraic expressions in a variety of contexts.

1. Extend and create patterns from tables, graphs, rules and number properties and
generalize patterns algebraically (e.g., recursive patterns like the Fibonacci numbers,
number sequences, prime and composite numbers).

2. Use substitution and order of operations to simplify and evaluate algebraic
expressions (e.g., if x = 5 evaluate 2x + 3).

Standard 2: Number Sense - The student will use numbers and number relationships to solve problems.

1. Multiply and divide fractions and mixed numbers to solve problems using a variety of methods.

-\ 2. Convert, compare and order decimals (terminating and nonterminating), fractions and percents using a variety of methods.

Note: Asterisks (*) have been used to identify standards and objectives that must be assessed by the local school district. All other skills may be assessed by the Oklahoma School Testing Program (OSTP).

3. Estimate solutions to single and multi-step problems using whole numbers, decimals, fractions, and percents and assess whether solutions are reasonable (e.g., \ + f is about 2,0.9 + 0.3 is about 1).

*4. Build and explore multiples and their patterns to develop the concept of exponents.

5. Simplify numerical expressions with exponents and parentheses using order of operations.

Standard 3: Geometry - The student will use geometric properties and relationships to recognize, describe and analyze shapes and representations in a variety of contexts.

*3. Describe the effect of performing basic transformations on objects and figures in a variety of contexts, (e.g., explore reflection [flip] with mirrors, explore rotation [turn] and translation [slide] by designing the layout of different shapes of floor tile).

Standard 4: Measurement - The student will use measurements within the metric and U.S. customary system to solve problems in a variety of contexts.

*1. Collect data and develop formulas to find the circumference and area of circles (e.g., use string the length of the diameter of various circular lids to approximate the circumference and develop the concept of pi).

2. Compare and convert units within the same measurement system; express
conversions using appropriate unit labels (e.g., square inches to square feet,
centimeters to millimeters, hours to minutes); and compute measurements of

combined units (e.g., 9'8" + 3'6" = _T and _T , 150 minutes = ? hours and_____ ?

3. Find reasonable estimates for measurements using measurements in standard and
metric units.

Standard 5: Data Analysis and Statistics - The student will use data analysis and statistics to interpret data in a variety of contexts.

1. Collect, organize, and interpret data to solve problems (e.g., data from student
experiments, tallies, Venn diagrams, tables, circle and bar graphs, spreadsheets).

2. Construct and interpret graphs of statistical data (e.g., explain how different
representations lead to different interpretations and may distort information).