South Dakota State Standards for Mathematics: Grade 6

SD.6.A. 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.

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).

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.

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.

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

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.

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

SD.6.G. 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.a. Identify and describe similarities and differences of triangles.

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

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

6.G.1.2.a. Identify and describe differences of 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.a. Demonstrate lines of symmetry.

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

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

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

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

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

SD.6.M. 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.

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

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

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.

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

SD.6.N. 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.

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.

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

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.a. Formulate rules to solve practical problems (problem solving).

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

6.N.3.1.c. Explain strategies and justify answers.

SD.6.S. 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.

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.

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.