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# South Dakota Standards Sixth Grade Mathematics resources

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Algebra: Students will use the language of algebra to explore, describe, represent, and analyze number expressions and relations that represent variable quantities.

6.A.1. Use procedures to transform algebraic expressions.

6.A.1.1. Application: Students are able to use order of operations, excluding nested parentheses and exponents, to simplify whole number expressions.

Vocabulary Terms Order of Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

6.A.1.2. Application: Students are able to write algebraic expressions involving addition or multiplication using whole numbers.

6.A.1.2.a. Show multiplication in various forms: 2x3 or 2n or 2(3).

Flip Charts Inequalities

Flip Charts Inequalities

Flip Charts Introduction to Algebra

Flip Charts Introduction to Algebra

Flip Charts Introduction to Functions

Flip Charts Math Grade 5

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Multistep Equations

Flip Charts Multistep Equations

Flip Charts Nonlinear Functions & Set Theory

Flip Charts Slope

Flip Charts Solving Equations

Flip Charts Solving Equations

Vocabulary Terms Algebra

Vocabulary Terms Nonlinear Functions and Set Theory

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and Inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions

Quiz, Flash Cards, Worksheet, Game & Study Guide Nonlinear Functions and Set Theory

Quiz, Flash Cards, Worksheet, Game & Study Guide One & Two Step Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Algebra

6.A.2. Use a variety of algebraic concepts and methods to solve equations and inequalities.

6.A.2.1. Application: Students are able to write and solve one-step 1st degree equations, with one variable, involving inverse operations using the set of whole numbers.

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Solving Equations

Flip Charts Solving Equations

Vocabulary Terms Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and Inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Algebra

6.A.3. Interpret and develop mathematical models.

6.A.3.1. Knowledge: Students are able to identify and graph ordered pairs in Quadrant I on a coordinate plane.

Flip Charts Introduction to Functions

Flip Charts Math Grade 6

Flip Charts Math: Grade 7

Flip Charts Nonlinear Functions & Set Theory

Flip Charts Shape Up

Flip Charts Slope

Flip Charts The Coordinate Plane

Vocabulary Terms Plot Points

Vocabulary Terms Plotting Points

Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Coordinate Polygons

Quiz, Flash Cards, Worksheet, Game & Study Guide Coordinates

Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs and Tables

Quiz, Flash Cards, Worksheet, Game & Study Guide Plot Points

Quiz, Flash Cards, Worksheet, Game & Study Guide Plotting Points

6.A.3.2. Application: Students are able to solve one-step problems involving ratios and rates.

Flip Charts Box It Up

Flip Charts Math Grade 5

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratio, Proportion & Percent

Flip Charts Triangle Tricks

Vocabulary Terms Proportions/Equivalent Fractions

Vocabulary Terms Ratio

Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Proportions/Equivalent Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio

Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Proportions

6.A.4. Describe and use properties and behaviors of relations, functions, and inverses.

6.A.4.1. Comprehension: Students are able to use concrete materials, graphs and algebraic statements to represent problem situations.

6.A.4.1.a. Recognize, describe, and extend arithmetic sequences and patterns.

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Number Patterns

Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns

6.A.4.1.b. Use variables to represent given quantities in problem situations.

Flip Charts Inequalities

Flip Charts Inequalities

Flip Charts Introduction to Algebra

Flip Charts Introduction to Algebra

Flip Charts Math Grade 5

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Multistep Equations

Flip Charts Multistep Equations

Flip Charts Numerical & Geometric Proportions

Flip Charts Solving Equations

Flip Charts Solving Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Algebra

Geometry: Students will use the language of geometry to discover, analyze, and communicate geometric concepts, properties, and relationships.

6.G.1. Use deductive and inductive reasoning to recognize and apply properties of geometric figures.

6.G.1.1. Comprehension: Students are able to identify and describe the characteristics of triangles and quadrilaterals.

6.G.1.1.b. Identify and describe similarities and differences of quadrilaterals.

Vocabulary Terms Polygon Characteristics

Quiz, Flash Cards, Worksheet, Game & Study Guide Polygon Characteristics

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

6.G.1.2. Comprehension: Students are able to identify and describe angles.

6.G.1.2.a. Identify and describe differences of angles.

Vocabulary Terms Angles

Quiz, Flash Cards, Worksheet, Game & Study Guide Angles

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

6.G.2. Use properties of geometric figures to solve problems from a variety of perspectives.

6.G.2.1. Application: Students are able to use basic shapes to demonstrate geometric concepts.

6.G.2.1.b. Use basic shapes to demonstrate congruency (triangle, rectangle, square, and parallelogram).

Flip Charts Congruence, Transformation & Symmetry

Flip Charts Congruence, Transformations & Symmetry

Flip Charts Math Grade 5

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Congruent Shapes

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Closed Figure Relationships

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

6.G.2.1.c. Use basic shapes to demonstrate similarity (triangle, rectangle, square, and parallelogram).

Flip Charts Congruence, Transformation & Symmetry

Flip Charts Congruence, Transformations & Symmetry

Flip Charts Math Grade 5

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Geometric Proportions

6.G.2.1.d. Use basic shapes to demonstrate perpendicular lines (triangle, rectangle, square, trapezoid).

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

6.G.2.1.e. Use basic shapes to demonstrate parallel lines (rectangles, squares, parallelograms).

Vocabulary Terms Polygon Characteristics

Quiz, Flash Cards, Worksheet, Game & Study Guide Polygon Characteristics

6.G.2.1.f. Identify a reflection.

Flip Charts Congruence, Transformation & Symmetry

Flip Charts Congruence, Transformations & Symmetry

Flip Charts Math Grade 5

Measurement: Students will apply systems of measurement and use appropriate measurement tools to describe and analyze the world around them.

6.M.1. Apply measurement concepts in practical applications.

6.M.1.1. Comprehension: Students are able to select, use, and convert appropriate unit of measurement for a situation.

6.M.1.1.a. Determine elapsed time.

Flip Charts Math Grade 5

Flip Charts Measurement: Time & Temperature

Quiz, Flash Cards, Worksheet, Game & Study Guide Elapsed Time

6.M.1.1.b. Convert length, capacity, and mass within the Metric system (kilo-, base unit, centi-, milli-).

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

Quiz, Flash Cards, Worksheet, Game & Study Guide Volume/Capacity

6.M.1.1.c. Convert weight and length within U.S. Customary system.

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

6.M.1.2. Comprehension: Students are able to find the perimeter and area of squares and rectangles (whole number measurements).

6.M.1.2.a. Apply strategies and/or formulas.

Flip Charts Math Grade 8

Flip Charts Shape Up

Vocabulary Terms Area of Triangles and Quadrilaterals

Quiz, Flash Cards, Worksheet, Game & Study Guide Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Triangles and Quadrilaterals

Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

6.M.1.2.b. Use appropriate unit of measure.

Vocabulary Terms Measurement

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

Number Sense: Students will develop and use number sense to investigate the characteristics of numbers in a variety of forms and modes of operation.

6.N.1. Analyze the structural characteristics of the real number system and its various subsystems. Analyze the concept of value, magnitude, and relative magnitude of real numbers.

6.N.1.1. Comprehension: Students are able to represent fractions in equivalent forms and convert between fractions, decimals, and percents using halves, fourths, tenths, hundredths.

6.N.1.1.a. Identify both standard and word forms (millions to ten thousandths) of positive rational numbers.

Vocabulary Terms Whole Numbers to Millions

Vocabulary Terms Whole Numbers to Trillions

Quiz, Flash Cards, Worksheet, Game & Study Guide Whole Numbers to Millions

Quiz, Flash Cards, Worksheet, Game & Study Guide Whole Numbers to Trillions

6.N.1.2. Knowledge: Students are able to find factors and multiples of whole numbers.

6.N.1.2.a. Classify numbers as prime or composite.

Flip Charts Exponents, Factors & Multiples

Flip Charts Math: Grade 7

6.N.2. Apply number operations with real numbers and other number systems.

6.N.2.1. Comprehension: Students are able to add, subtract, multiply, and divide decimals

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

Vocabulary Terms Add/Subtract/Multiply/Divide Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract/Multiply/Divide Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations

6.N.3. Develop conjectures, predictions, or estimations to solve problems and verify or justify the results.

6.N.3.1. Application: Students are able to use various strategies to solve one- and two-step problems involving positive decimals.

6.N.3.1.b. Use estimation strategies to make predictions and test the reasonableness of answer.

Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation

Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation

Statistics & Probability: Students will apply statistical methods to analyze data and explore probability for making decisions and predictions.

6.S.1. Use statistical models to gather, analyze, and display data to draw conclusions.

6.S.1.1. Comprehension: Students are able to find the mean, mode, and range of an ordered set of positive data.

Flip Charts Collecting & Displaying Data

Flip Charts Collecting & Displaying Data

Flip Charts Math Grade 5

Flip Charts Math Grade 8

Vocabulary Terms Data Analysis

Quiz, Flash Cards, Worksheet, Game & Study Guide Data Analysis

Quiz, Flash Cards, Worksheet, Game & Study Guide Organizing Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics

Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics

6.S.1.2. Application: Students are able to display data using bar and line graphs and draw conclusions from data displayed in a graph.

Flip Charts Collecting & Displaying Data

Flip Charts Collecting & Displaying Data

Flip Charts Math Grade 5

Flip Charts Math Grade 8

Vocabulary Terms Graphs

Quiz, Flash Cards, Worksheet, Game & Study Guide Analyzing, Graphing and Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs

Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs and Tables

Quiz, Flash Cards, Worksheet, Game & Study Guide Tables

6.S.2. Apply the concepts of probability to predict events/outcomes and solve problems.

6.S.2.1. Knowledge: Students are able to find the probability of a simple event.

6.S.2.1.a. Express the result as a fraction.

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability