South Dakota Standards for Seventh Grade Math

Applying Percents
Worksheets: 3Study Guides: 1
Decimal Operations
Worksheets: 3Study Guides: 1
Exponents, Factors and Fractions
Worksheets: 4Study Guides: 1
Geometric Proportions
Worksheets: 4Study Guides: 1
Introduction to Percent
Worksheets: 4Study Guides: 1
Plane Figures: Closed Figure Relationships
Worksheets: 3Study Guides: 1
Rational and Irrational Numbers
A rational number is a number that can be made into a fraction. Decimals that repeat or terminate are rational because they can be changed into fractions. Read more...iWorksheets: 3Study Guides: 1
The Pythagorean Theorem
Pythagorean Theorem is a fundamental relation in Euclidean geometry. Use the Pythagorean Theorem and its converse to solve problems. Determine the distance between two points using the Pythagorean Theorem. Read more...iWorksheets: 4Study Guides: 1

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.
Formulas
The formulas contain places for inputting numbers. Evaluating a formula requires inputting the correct data and performing the operations. Read more...iWorksheets :3Study Guides :1
Simple Algebra
Simple algebra is the term used when using expressions with letters or variables that represent numbers. Read more...iWorksheets :3Study Guides :1
Algebraic Equations
FreeWhat are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. Read more...iWorksheets :6Study Guides :1
7.A.1.1.b. Use order of operations.
Order of Operations
A numerical expression is a phrase which represents a number. Read more...iWorksheets :7Study Guides :1
Using Integers
Worksheets :4Study Guides :1
7.A.1.2. Knowledge: Students are able to identify associative, commutative, distributive, and identity properties involving algebraic expressions.
Order of Operations
A numerical expression is a phrase which represents a number. Read more...iWorksheets :7Study Guides :1
Formulas
The formulas contain places for inputting numbers. Evaluating a formula requires inputting the correct data and performing the operations. Read more...iWorksheets :3Study Guides :1
One & Two Step Equations
An algebraic equation is an expression in which a letter represents an unknown number Read more...iWorksheets :3Study Guides :1
Simple Algebra
Simple algebra is the term used when using expressions with letters or variables that represent numbers. Read more...iWorksheets :3Study Guides :1
Algebraic Equations
FreeWhat are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. Read more...iWorksheets :6Study Guides :1
Introduction to Algebra
Worksheets :3Study Guides :1
Equations and Inequalities
Worksheets :5Study Guides :1
Algebraic Equations
What are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. Read more...iWorksheets :4Study Guides :1
Algebraic Inequalities
FreeAlgebraic inequalities are mathematical equations that compare two quantities using these criteria: greater than, less than, less than or equal to, greater than or equal to. Read more...iWorksheets :3Study Guides :1
Introduction to Functions
Worksheets :5Study Guides :1
Nonlinear Functions and Set Theory
Worksheets :4Study Guides :1
Equations and inequalities
Worksheets :3Study Guides :1
Using graphs to analyze data
Worksheets :3Study Guides :1
Polynomials and Exponents
Worksheets :4Study Guides :1
Solving linear equations
Worksheets :5Study Guides :1
Solving equations and inequalities
Worksheets :3Study Guides :1
Linear equations
Worksheets :3Study Guides :1
Linear relationships
Worksheets :3Study Guides :1
Sequences
Worksheets :4Study Guides :1
Functions
Worksheets :3Study Guides :1

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.
Simple Algebra
Simple algebra is the term used when using expressions with letters or variables that represent numbers. Read more...iWorksheets :3Study Guides :1
Algebraic Equations
FreeWhat are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. Read more...iWorksheets :6Study Guides :1
Introduction to Algebra
Worksheets :3Study Guides :1
Equations and Inequalities
Worksheets :5Study Guides :1
Equations and inequalities
Worksheets :3Study Guides :1
Integer operations
Worksheets :4Study Guides :1

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.
Linear relationships
Worksheets :3Study Guides :1
7.A.3.2. Application: Students are able to model and solve multi-step problems involving rates.
Numerical Proportions
Worksheets :4Study Guides :1
Ratios, proportions and percents
Worksheets :4Study Guides :1

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.
Sequences
Worksheets :4Study Guides :1
7.A.4.1.b. Extend arithmetic and geometric sequences.
Sequences
Worksheets :4Study Guides :1

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.
Perimeter
A perimeter is the measurement of the distance around a figure. It is measured in units and can be measured by inches, feet, blocks, meters, centimeters or millimeters. Read more...iWorksheets :3Study Guides :1
Plane Figures: Lines and Angles
Plane figures in regards to lines and angles refer to the coordinate plane and the various lines and angles within the coordinate plane. Lines in a coordinate plane can be parallel or perpendicular. Read more...iWorksheets :3Study Guides :1
Plane figures
Worksheets :4Study Guides :1
7.G.1.2. Knowledge: Students are able to identify and describe elements of geometric figures. (Altitude, Midpoint, Bisector, Radius, Diameter, Chord)
Diameter of Circle
The diameter of a circle is a line segment that passes through the center of a circle connecting one side of the circle to the other. Read more...iWorksheets :3Study Guides :1
Area
An area is the amount of surface a shape covers.
An area is measured in inches, feet, meters or centimeters. Read more...
iWorksheets :3Study Guides :1
Area and Circumference of Circles
FreeThe circumference of a circle is the distance around the outside. The area of a circle is the space contained within the circumference. It is measured in square units. Read more...iWorksheets :4Study Guides :1
Measurement, Perimeter, and Circumference
Worksheets :3Study Guides :1
Exploring Area and Surface Area
Worksheets :4Study Guides :1
Perimeter and area
Worksheets :4Study Guides :1

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
Patterns in geometry
Worksheets :3Study Guides :1
7.G.2.1.b. Rotation
Patterns in geometry
Worksheets :3Study Guides :1
7.G.2.1.c. Reflection
Patterns in geometry
Worksheets :3Study Guides :1

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.
Plane Figures: Lines and Angles
Plane figures in regards to lines and angles refer to the coordinate plane and the various lines and angles within the coordinate plane. Lines in a coordinate plane can be parallel or perpendicular. Read more...iWorksheets :3Study Guides :1
7.M.1.1.b. Measure length, capacity, and mass.
Volume
Volume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1
Measurement, Perimeter, and Circumference
Worksheets :3Study Guides :1
Finding Volume
Volume measures the amount a solid figure can hold. Volume is measured in terms of cubed units and can be measured in inches, feet, meters, centimeters, and millimeters. Read more...iWorksheets :4Study Guides :1
Three dimensional geometry/Measurement
Worksheets :3Study Guides :1
7.M.1.1.c. Convert within the Metric system (kilo- thru milli-).
Measurement
FreeThere are many units of measurement: inches, feet, yards, miles, millimeters, meters, seconds, minutes, hours, cups, pints, quarts, gallons, ounces, pounds, etc Read more...iWorksheets :6Study Guides :1
7.M.1.1.d. Convert within the U.S. Customary system (weight, length, capacity).
Measurement
FreeThere are many units of measurement: inches, feet, yards, miles, millimeters, meters, seconds, minutes, hours, cups, pints, quarts, gallons, ounces, pounds, etc Read more...iWorksheets :6Study Guides :1
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.
Measurement
FreeThere are many units of measurement: inches, feet, yards, miles, millimeters, meters, seconds, minutes, hours, cups, pints, quarts, gallons, ounces, pounds, etc Read more...iWorksheets :6Study Guides :1

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,
Proportions/Equivalent Fractions
Equivalent fractions represent the same ratio between two values. Read more...iWorksheets :3Study Guides :1
Ratio
A ratio is a comparison of two numbers. The two numbers must have the same unit in order to be compared. Read more...iWorksheets :3Study Guides :1
Simple Proportions
A proportion is a statement that two ratios are equal. A ratio is a pair of numbers used to show a comparison. To solve a proportion, calculate equivalent fractions in order to be sure the two fractions (ratios) are equal. Read more...iWorksheets :3Study Guides :1
Numerical Proportions
Worksheets :4Study Guides :1
Ratios, proportions and percents
Worksheets :4Study Guides :1
Similarity and scale
Worksheets :3Study Guides :1
Numbers and percents
Worksheets :3Study Guides :1

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.
Add/Subtract Fractions
Adding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :7Study Guides :1
Multiply/Divide Fractions
To multiply two fractions with unlike denominators, multiply the numerators and multiply the denominators. It is unnecessary to change the denominators for this operation. Read more...iWorksheets :4Study Guides :1
Adding Fractions
Adding fractions is the operation of adding two or more different fractions. Read more...iWorksheets :3Study Guides :1
Multiply Fractions
Multiplying fractions is the operation of multiplying two or more fractions together to find a product. Read more...iWorksheets :3Study Guides :1
Using Integers
Worksheets :4Study Guides :1
Fraction Operations
Worksheets :3Study Guides :1
Integer operations
Worksheets :4Study Guides :1
Rational numbers and operations
Worksheets :3Study Guides :1

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.b. Use estimation strategies to make predictions and test the reasonableness of the answer.
Estimation
Estimation is the process of rounding a number either up or down to the nearest place value requested. Estimation makes it easier to perform mathematical operations quickly. Read more...iWorksheets :6Study Guides :1

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.
Statistics
A statistic is a collection of numbers related to a specific topic. Read more...iWorksheets :6Study Guides :1
Organizing Data
Worksheets :3Study Guides :1
Using graphs to analyze data
Worksheets :3Study Guides :1
Collecting and describing data
Worksheets :3Study Guides :1
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.
Tables
Tables refer to the different types of diagram used to display data.
There are many types of tables such as data table, frequency table, line chart and stern-and-leaf plot. Read more...
iWorksheets :3Study Guides :1
Graphs
A graph is a diagram that shows information in an organized way. Read more...iWorksheets :6Study Guides :1
Organizing Data
Worksheets :3Study Guides :1
Analyzing, Graphing and Displaying Data
Worksheets :3Study Guides :1
Using graphs to analyze data
Worksheets :3Study Guides :1

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.
Introduction to Probability
Probability is the possibility that a certain event will occur. An event that is certain to occur has a probability of 1. An event that cannot occur has a probability of 0. Therefore, the probability of an event occurring is always between 0 and 1.Probability word problems worksheets. Read more...iWorksheets :4Study Guides :1
Using Probability
Worksheets :3Study Guides :1
Experimental Probability
FreeExperimental probability is the probability that a certain outcome will occur based on an experiment being performed multiple times. Probability word problems worksheets. Read more...iWorksheets :3Study Guides :1
Theoretical probability and counting
Worksheets :3Study Guides :1
7.S.2.1.b. Express probability as a ratio, decimal, or percent.
Probability
Probability is the possibility that a certain event will occur. Probability word problems worksheets Read more...iWorksheets :3Study Guides :1
Introduction to Probability
Probability is the possibility that a certain event will occur. An event that is certain to occur has a probability of 1. An event that cannot occur has a probability of 0. Therefore, the probability of an event occurring is always between 0 and 1.Probability word problems worksheets. Read more...iWorksheets :4Study Guides :1
Using Probability
Worksheets :3Study Guides :1
Ratios, proportions and percents
Worksheets :4Study Guides :1
Experimental Probability
FreeExperimental probability is the probability that a certain outcome will occur based on an experiment being performed multiple times. Probability word problems worksheets. Read more...iWorksheets :3Study Guides :1

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