South Dakota State Standards for Mathematics: Grade 7

SD.7.A. Algebra: Students will use the language of algebra to explore, describe, represent, and analyze number expressions and relations that represent variable quantities.

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

7.A.1.1. Application: Students are able to write and evaluate algebraic expressions using the set of whole numbers.

7.A.1.1.a. Use replacement values for variables.

7.A.1.1.b. Use order of operations.

7.A.1.2. Knowledge: Students are able to identify associative, commutative, distributive, and identity properties involving algebraic expressions.

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

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

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

7.A.3.1. Application: Students are able to identify and graph ordered pairs on a coordinate plane and inequalities on a number line.

7.A.3.1.a. Use a scatterplot to draw an approximate line of best fit in a coordinate plane.

7.A.3.2. Application: Students are able to model and solve multi-step problems involving rates.

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

7.A.4.1. Application: Students are able to recognize one-step patterns using tables, graphs, and models and create one-step algebraic expressions representing the pattern.

7.A.4.1.a. Identify arithmetic and geometric sequences.

7.A.4.1.b. Extend arithmetic and geometric sequences.

SD.7.G. Geometry: Students will use the language of geometry to discover, analyze, and communicate geometric concepts, properties, and relationships.

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

7.G.1.1. Application: Students are able to identify, describe, and classify polygons having up to 10 sides.

7.G.1.2. Knowledge: Students are able to identify and describe elements of geometric figures. (Altitude, Midpoint, Bisector, Radius, Diameter, Chord)

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

7.G.2.1. Application: Students are able to demonstrate ways that shapes can be transformed. (Translation, Rotation, Reflection)

7.G.2.1.a. Translation

7.G.2.1.b. Rotation

7.G.2.1.c. Reflection

SD.7.M. Measurement: Students will apply systems of measurement and use appropriate measurement tools to describe and analyze the world around them.

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

7.M.1.1. Comprehension: Students are able to select, use, and convert appropriate units of measurement for a situation including capacity and angle measurement.

7.M.1.1.a. Measure angles less than or equal to 180 degrees to the nearest degree.

7.M.1.1.b. Measure length, capacity, and mass.

7.M.1.1.c. Convert within the Metric system (kilo- thru milli-).

7.M.1.1.d. Convert within the U.S. Customary system (weight, length, capacity).

7.M.1.2. Comprehension: Students, when given the formulas, are able to find circumference, perimeter, and area of circles, parallelograms, triangles, and trapezoids (whole number measurements).

7.M.1.2.a. Use appropriate unit of measure.

7.M.1.2.b. Estimate the area of irregular shapes.

SD.7.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.

7.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.

7.N.1.1. Comprehension: Students are able to represent numbers in a variety of forms by describing, ordering, and comparing integers, decimals, percents, and fractions.

7.N.1.1.a. Describe and compare numbers using ratios including appropriate notation,

7.N.1.2. Application: Students are able to find and use common multiples and factors of whole numbers.

7.N.1.2.a. Least Common Multiple

7.N.1.2.b. Greatest Common Factor

7.N.1.2.c. Divisibility rules (2, 3, 4, 6, 9, 10).

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

7.N.2.1. Application: Students are able to add, subtract, multiply, and divide integers and positive fractions.

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

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

7.N.3.1.a. Formulate rules to solve practical problems involving integers (problem solving).

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

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

SD.7.S. Statistics & Probability: Students will apply statistical methods to analyze data and explore probability for making decisions and predictions.

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

7.S.1.1. Comprehension: Students are able to find the mean, median, mode, and range of a set of data.

7.S.1.2. Application: Students are able to display data, using frequency tables, line plots, stem-and-leaf plots, and make predictions from data displayed in a graph.

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

7.S.2.1. Comprehension: Students are able, given a sample space, to find the probability of a specific outcome.

7.S.2.1.a. Simple probability.

7.S.2.1.b. Express probability as a ratio, decimal, or percent.