North Dakota State Standards for Mathematics: Grade 7

ND.7.1. Number and Operation: Students understand and use basic and advanced concepts of number and number systems.

7.1.1. Numbers, Number Relationships, and Number Systems: Use ratios and proportions to represent relationships

7.1.2. Numbers, Number Relationships, and Number Systems: Explain and use percents greater than 100

7.1.3. Numbers, Number Relationships, and Number Systems: Use prime factorization to determine the greatest common factor and least common multiple

7.1.4. Numbers, Number Relationships, and Number Systems: Use integers to represent and compare quantities

7.1.5. Operations and Their Properties: Explain the effects of arithmetic operations on fractions, decimals, and integers

7.1.6. Operations and Their Properties: Use order of operations (i.e., parentheses and operations) to simplify numeric expressions

7.1.7. Computational Fluency and Estimation: Add, subtract, multiply, and divide fractions and terminating decimals

7.1.8. Computational Fluency and Estimation: Solve real-world problems using integers, fractions, decimals, and percents

7.1.9. Computational Fluency and Estimation: Estimate the results of problems involving fractions, decimals, and percents

7.1.10. Computational Fluency and Estimation: Use proportions to solve problems

ND.7.2. Geometry and Spatial Sense: Students understand and apply geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations.

7.2.1. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Make observations about relationships between two- and three-dimensional figures, e.g., a cube is made with six squares

7.2.2. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Classify triangles based on side and angle measurements, i.e., scalene, isosceles, equilateral, acute, obtuse, and right

7.2.3. Coordinate Geometry: Draw and label the components of the coordinate plane, i.e., coordinates, quadrants, origin, x- and y-axes

7.2.4. Transformation and Symmetry: Identify relationships between congruent figures and similar figures

7.2.5. Transformation and Symmetry: Draw the result of a transformation in the coordinate plane, i.e., translation, reflection, and rotation

7.2.6. Visualization, Spatial Reasoning, and Geometric Modeling: Build and sketch three-dimensional solids, e.g., using nets, manipulatives

ND.7.3. Data Analysis, Statistics, and Probability: Students use data collection and analysis techniques, statistical methods, and probability to solve problems.

7.3.1. Data Collection, Display, and Interpretation: Formulate a question; collect, organize, and display data using a bar, line, and circle graph

7.3.2. Probability: Determine possible outcomes using organized lists, tree diagrams, or Venn diagrams

7.3.3. Probability: Formulate hypotheses, conduct probability experiments, and draw conclusions from results

7.3.4. Probability: Compute probabilities for simple events

7.3.5. Statistical Methods: Calculate and compare information provided by the mean, median, mode, and range of a set of data

7.3.6. Predictions, Data Analysis, and Inferences: Describe how scale can make graphs, tables, and charts appear misleading

7.3.7. Predictions, Data Analysis, and Inferences: Explain inferences made from statistical information

ND.7.4. Measurement: Students use concepts and tools of measurement to describe and quantify the world.

7.4.1. Measurable Attributes, Measurement Systems and Units: Estimate a measurement to the degree of precision that the tool provides

7.4.2. Measurable Attributes, Measurement Systems and Units: Convert unit measurements within the same system (metric and standard) when solving problems

7.4.3. Measurable Attributes, Measurement Systems and Units: Select the appropriate measure of perimeter, area, surface area, or volume to solve a problem

7.4.4. Measurement Tools, Techniques, and Formulas: Select and use appropriate tools and units to determine the measurements needed for calculating perimeter, circumference, area, surface area, and volume

7.4.5. Measurement Tools, Techniques, and Formulas: Solve problems involving scale factors, using ratio and proportion

7.4.6. Measurement Tools, Techniques, and Formulas: Use formulas to determine the perimeter and area of trapezoids

7.4.7. Measurement Tools, Techniques, and Formulas: Use area formulas to determine the surface area of right cylinders

7.4.8. Measurement Tools, Techniques, and Formulas: Use formulas to determine the volume of right cylinders

7.4.9. Measurement Tools, Techniques, and Formulas: Determine the area of irregularly-shaped objects

ND.7.5. Algebra, Functions, and Patterns: Students use algebraic concepts, functions, patterns, and relationships to solve problems.

7.5.1. Patterns, Relations, and Functions: Create tables and graphs to analyze and describe patterns

7.5.2. Numeric and Algebraic Representations: Create algebraic expressions and equations to represent word phrases and sentences

7.5.3. Numeric and Algebraic Representations: Apply the order of operations and the commutative, associative, and distributive properties to evaluate numeric expressions

7.5.4. Numeric and Algebraic Representations: Use inverse operations and properties of equality to solve one-step equations and inequalities in one variable

7.5.5. Mathematical Modeling: Write one-step equations and inequalities to represent problem situations

7.5.6. Rates of Change: Graph change over time, e.g., growth, distance, population