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# South Dakota Standards Ninth 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.

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

9.A.1.1. Comprehension: Students are able to write equivalent forms of algebraic expressions using properties of the set of real numbers.

9.A.1.1.b. Use laws of exponents.

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

9.A.1.1.c. Use conventional order of operations, including grouping and exponents.

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

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

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

9.A.2.2. Application: Students are able to use algebraic properties to transform multi-step, single-variable, first-degree inequalities and represent solutions using a number line.

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

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

9.A.2.2A. Application: Students are able to determine the solution of systems of equations and systems of inequalities.

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

Flip Charts Systems of Equations

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

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

9.A.3.1. Application: Students are able to create linear models to represent problem situations.

9.A.3.1.a. Calculate and interpret slope.

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

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

9.A.3.2A. Synthesis: Students are able to create formulas to model relationships that are algebraic, geometric, trigonometric, and exponential.

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

9.A.3.3A. Analysis: Students are able to use sequences and series to model relationships.

Flip Charts Arithmetic & Sequences

Flip Charts Circle Around

Flip Charts Math Grade 8

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

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

9.A.4.1. Application: Students are able to use graphs, tables, and equations to represent linear functions.

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

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

9.A.4.4A. Application: Students are able to apply properties and definitions of trigonometric, exponential, and logarithmic expressions.

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

9.A.4.5A. Analysis: Students are able to describe characteristics of nonlinear functions and relations.

9.A.4.5A.c. Exponential and logarithmic functions

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

9.A.4.6A. Application: Students are able to graph solutions to linear inequalities.

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

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

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

9.A.1.1. Comprehension: Students are able to write equivalent forms of algebraic expressions using properties of the set of real numbers.

9.A.1.1.b. Use laws of exponents.

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

9.A.1.1.c. Use conventional order of operations, including grouping and exponents.

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

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

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

9.A.2.2. Application: Students are able to use algebraic properties to transform multi-step, single-variable, first-degree inequalities and represent solutions using a number line.

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

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

9.A.2.2A. Application: Students are able to determine the solution of systems of equations and systems of inequalities.

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

Flip Charts Systems of Equations

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

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

9.A.3.1. Application: Students are able to create linear models to represent problem situations.

9.A.3.1.a. Calculate and interpret slope.

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

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

9.A.3.2A. Synthesis: Students are able to create formulas to model relationships that are algebraic, geometric, trigonometric, and exponential.

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

9.A.3.3A. Analysis: Students are able to use sequences and series to model relationships.

Flip Charts Arithmetic & Sequences

Flip Charts Circle Around

Flip Charts Math Grade 8

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

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

9.A.4.1. Application: Students are able to use graphs, tables, and equations to represent linear functions.

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

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

9.A.4.4A. Application: Students are able to apply properties and definitions of trigonometric, exponential, and logarithmic expressions.

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

9.A.4.5A. Analysis: Students are able to describe characteristics of nonlinear functions and relations.

9.A.4.5A.c. Exponential and logarithmic functions

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

9.A.4.6A. Application: Students are able to graph solutions to linear inequalities.

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

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

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

9.G.1.4A. Analysis: Students are able to use formulas for surface area and volume to solve problems involving three-dimensional figures.

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

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

9.G.2.2. Application: Students are able to reflect across vertical or horizontal lines, and translate two-dimensional figures.

9.G.2.2.a. Identify lines of symmetry.

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

9.G.2.3. Application: Students are able to use proportions to solve problems.

Flip Charts Math Grade 8

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

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

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

9.G.1.4A. Analysis: Students are able to use formulas for surface area and volume to solve problems involving three-dimensional figures.

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

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

9.G.2.2. Application: Students are able to reflect across vertical or horizontal lines, and translate two-dimensional figures.

9.G.2.2.a. Identify lines of symmetry.

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

9.G.2.3. Application: Students are able to use proportions to solve problems.

Flip Charts Math Grade 8

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

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

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

9.M.1.2. Comprehension: Students are able to use suitable units when describing rate of change.

Flip Charts Math Grade 8

Flip Charts Ratios, Rates & Proportions

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

9.M.1.3. Application: Students are able to use formulas to find perimeter, circumference, and area to solve problems involving common geometric figures.

9.M.1.3.a. Use algebraic expressions with geometric formulas.

Flip Charts Algebra Skills

Flip Charts Dot to Dot

Flip Charts Math Grade 8

Flip Charts Perimeter & Area

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

9.M.1.A. Apply measurement concepts in practical applications.

9.M.1.2A. Analysis: Students are able to use indirect measurement in problem situations that defy direct measurement.

Flip Charts Math Grade 8

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

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

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

9.M.1.2. Comprehension: Students are able to use suitable units when describing rate of change.

Flip Charts Math Grade 8

Flip Charts Ratios, Rates & Proportions

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

9.M.1.3. Application: Students are able to use formulas to find perimeter, circumference, and area to solve problems involving common geometric figures.

9.M.1.3.a. Use algebraic expressions with geometric formulas.

Flip Charts Algebra Skills

Flip Charts Dot to Dot

Flip Charts Math Grade 8

Flip Charts Perimeter & Area

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

9.M.1.A. Apply measurement concepts in practical applications.

9.M.1.2A. Analysis: Students are able to use indirect measurement in problem situations that defy direct measurement.

Flip Charts Math Grade 8

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

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

9.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.

9.N.1.1. Comprehension: Students are able to identify multiple representations of a real number.

9.N.1.1.a. Given a real number identify the subset(s) of real numbers to which it belongs.

Flip Charts Math Grade 8

Flip Charts The Real Numbers

9.N.1.1.b. Represent rational and irrational numbers in different forms.

Flip Charts Applying Percents

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents

9.N.1.2. Comprehension: Students are able to apply the concept of place value, magnitude, and relative magnitude of real numbers.

9.N.1.2.a. Scientific notation

Flip Charts Integers & Exponents

Flip Charts Math Grade 8

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

9.N.1.A. 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.

9.N.1.2A. Application: Students are able to apply properties and axioms of the real number system to various subsets, e.g., axioms of order, closure.

Flip Charts Math Grade 8

Flip Charts The Real Numbers

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

9.N.2.1. Comprehension: Students are able to add, subtract, multiply, and divide real numbers including integral exponents.

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

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

9.N.3.2. Comprehension: Students are able to select alternative computational strategies and explain the chosen strategy.

9.N.3.2.a. Use properties of numbers that allow operational shortcuts for computational procedures.

Flip Charts Math Grade 8

Flip Charts The Real Numbers

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

9.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.

9.N.1.1. Comprehension: Students are able to identify multiple representations of a real number.

9.N.1.1.a. Given a real number identify the subset(s) of real numbers to which it belongs.

Flip Charts Math Grade 8

Flip Charts The Real Numbers

9.N.1.1.b. Represent rational and irrational numbers in different forms.

Flip Charts Applying Percents

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents

9.N.1.2. Comprehension: Students are able to apply the concept of place value, magnitude, and relative magnitude of real numbers.

9.N.1.2.a. Scientific notation

Flip Charts Integers & Exponents

Flip Charts Math Grade 8

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

9.N.1.A. 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.

9.N.1.2A. Application: Students are able to apply properties and axioms of the real number system to various subsets, e.g., axioms of order, closure.

Flip Charts Math Grade 8

Flip Charts The Real Numbers

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

9.N.2.1. Comprehension: Students are able to add, subtract, multiply, and divide real numbers including integral exponents.

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

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

9.N.3.2. Comprehension: Students are able to select alternative computational strategies and explain the chosen strategy.

9.N.3.2.a. Use properties of numbers that allow operational shortcuts for computational procedures.

Flip Charts Math Grade 8

Flip Charts The Real Numbers

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

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

9.S.1.1. Analysis: Students are able to draw conclusions from a set of data.

9.S.1.1.a. Determine and use appropriate statistical values.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

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

9.S.1.1.b. Determine which questions can or cannot be answered from a given data set.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

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

9.S.1.3. Analysis: Represent a set of data in a variety of graphical forms and draw conclusions.

9.S.1.3.a. Make a scatterplot to draw a regression line and make predictions.

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

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

9.S.1.1A. Evaluation: Students are able to analyze and evaluate the design of surveys and experiments.

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

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

9.S.1.2A. Evaluation: Students are able to analyze and evaluate graphical displays of data.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

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

9.S.1.5A. Application: Students are able to use scatterplots, best-fit lines, and correlation coefficients to model data and support conclusions.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

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

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

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

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

9.S.2.1A. Application: Students are able to use probabilities to solve problems.

9.S.2.1A.a. Compute combinations, permutations.

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

9.S.2.2A. Application: Students are able to determine probability of compound, complementary, independent, and mutually exclusive events.

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

9.S.2.3A. Application: Students are able to generate data and use the data to determine empirical (experimental) probabilities.

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

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

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

9.S.1.1. Analysis: Students are able to draw conclusions from a set of data.

9.S.1.1.a. Determine and use appropriate statistical values.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

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

9.S.1.1.b. Determine which questions can or cannot be answered from a given data set.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

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

9.S.1.3. Analysis: Represent a set of data in a variety of graphical forms and draw conclusions.

9.S.1.3.a. Make a scatterplot to draw a regression line and make predictions.

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

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

9.S.1.1A. Evaluation: Students are able to analyze and evaluate the design of surveys and experiments.

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

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

9.S.1.2A. Evaluation: Students are able to analyze and evaluate graphical displays of data.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

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

9.S.1.5A. Application: Students are able to use scatterplots, best-fit lines, and correlation coefficients to model data and support conclusions.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

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

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

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

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

9.S.2.1A. Application: Students are able to use probabilities to solve problems.

9.S.2.1A.a. Compute combinations, permutations.

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

9.S.2.2A. Application: Students are able to determine probability of compound, complementary, independent, and mutually exclusive events.

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

9.S.2.3A. Application: Students are able to generate data and use the data to determine empirical (experimental) probabilities.

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