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# South Dakota Standards Eighth 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.

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

8.A.1.1. Application: Students are able to use properties to expand, combine, and simplify 1st degree algebraic expressions with the set of integers.

8.A.1.1.a. Properties include associative, commutative, distributive, and identity properties.

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 Polynomials and Exponents

8.A.1.1.b. Use order of operations with exponents and nested parentheses.

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

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

8.A.2.1. Application: Students are able to write and solve two-step 1st degree equations, with one variable, and one-step inequalities, with one variable, using the set of integers. (Inverse operations, Addition property of equality., Multiplication property of equality.)

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 Ratios, Rates & Proportions

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 Equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

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

8.A.3.1. Comprehension: Students are able to describe and determine linear relationships.

8.A.3.1.a. Determine slope from a line or ordered pairs on a graph.

Flip Charts Math: Grade 7

Flip Charts Slope

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

8.A.3.1.b. Identify x and y intercepts from a graph.

Flip Charts Math: Grade 7

Flip Charts Slope

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

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

8.A.4.1. Synthesis: Students are able to create rules to explain the relationship between numbers when a change in the first variable affects the second variable.

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

8.A.4.2. Analysis: Students are able to describe and represent relations using tables, graphs, and rules.

8.A.4.2.a. Represent situations with patterns and relations to find exact or approximate solutions to problems.

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

8.A.4.2.b. Make predictions relating two variables using a rule or a graph.

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

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

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

8.G.1.1. Application: Students are able to describe and classify prisms, pyramids, cylinders, and cone.

Flip Charts Finding Volume

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

8.G.1.2. Application: Students, when given any two sides of an illustrated right triangle, are able to use the Pythagorean Theorem to find the third side.

Flip Charts Math: Grade 7

Flip Charts The Pythagorean Theorem

Quiz, Flash Cards, Worksheet, Game & Study Guide The Pythagorean Theorem

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

8.G.2.1. Application: Students are able to write and solve proportions that express the relationships between corresponding parts of similar quadrilaterals and triangles.

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

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

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

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

8.M.1.1. Application: Students are able to apply proportional reasoning to solve measurement problems with rational number measurements.

8.M.1.1.b. Use scale drawings to represent situations.

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

8.M.1.1.c. Indirect measurement.

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

8.M.1.2. Comprehension: Students are able to find area, volume, and surface area with whole number measurements.

8.M.1.2.b. Apply strategies and/or formulas.

Flip Charts Algebra Skills

Flip Charts Dot to Dot

Flip Charts Finding Volume

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Perimeter & Area

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

8.M.1.2.c. Volume of rectangular prisms, rectangular pyramids, cylinders, and cones.

Flip Charts Finding Volume

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

8.M.1.2.d. Surface area of rectangular prisms and cylinders.

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/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.

8.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.

8.N.1.1. Comprehension: Students are able to represent numbers in a variety of forms and identify the subsets of rational numbers.

8.N.1.1.a. Exponents

Flip Charts Exponents, Factors & Multiples

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions

8.N.1.1.b. Scientific notation

Flip Charts Exponents, Factors & Multiples

Flip Charts Integers & Exponents

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

8.N.1.1.d. Radicals (perfect squares)

Flip Charts Math Grade 8

Flip Charts The Real Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Real numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide The Pythagorean Theorem

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

8.N.2.1. Application: Students are able to read, write, and compute within any subset of rational numbers.

8.N.2.1.a. Solve problems involving discount, markup, commission, profit, and simple interest.

Flip Charts Applying Percents

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent

Quiz, Flash Cards, Worksheet, Game & Study Guide Applying Percents

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

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

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

8.S.1.1. Comprehension: Students are able to find the mean, median, mode, and range of a data set from a stem-and-leaf plot and a line plot.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

8.S.1.2. Application: Students are able to use a variety of visual representations to display data to make comparisons and predictions.

8.S.1.2.b. Double line graph

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

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

8.S.1.2.c. Scatterplot

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

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

8.S.2.1. Comprehension: Students are able to find the sample space and compute probability for two simultaneous independent events.

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

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

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

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