IXL - North Dakota seventh-grade math standards

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Skills available for North Dakota seventh-grade math standards

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Standards document:

2011 North Dakota Content Standards (Common Core) 2011 North Dakota Content Standards (Common Core)
2005 North Dakota Content Standards 2005 North Dakota Content Standards

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7.1 Students understand and use basic and advanced concepts of number and number systems

Number, Number Relationships, and Number Systems
7.1.1 Use ratios and proportions to represent relationships
7.1.2 Explain and use percents greater than 100
7.1.3 Use prime factorization to determine the greatest common factor and least common multiple
7.1.4 Use integers to represent and compare quantities
Operations and Their Properties
7.1.5 Explain the effects of arithmetic operations on fractions, decimals, and integers
7.1.6 Use order of operations (i.e., parentheses and operations) to simplify numeric expressions
Computational Fluency and Estimation
7.1.7 Add, subtract, multiply, and divide fractions and terminating decimals
7.1.8 Solve real-world problems using integers, fractions, decimals, and percents
7.1.9 Estimate the results of problems involving fractions, decimals, and percents
7.1.10 Use proportions to solve problems

7.2 Student understands and applies geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations

Two- and Three-Dimensional Shapes, Geometric Properties and Relationships
7.2.1 Make observations about relationships between two- and three-dimensional figures; e.g., a cube is made with six squares
7.2.2 Classify triangles based on side and angle measurements; i.e., scalene, isosceles, equilateral, acute, obtuse, and right
- Geometry: Name, measure, and classify angles (Seventh grade - P.3)
- Geometry: Classify triangles (Seventh grade - P.7)
Coordinate Geometry
7.2.3 Draw and label the components of the coordinate plane; i.e., coordinates, quadrants, origin, x- and y-axes
- Coordinate graphs: Points on coordinate graphs (Seventh grade - S.1)
- Coordinate graphs: Quadrants and axes (Seventh grade - S.2)
Transformation and Symmetry
7.2.4 Identify relationships between congruent figures and similar figures
7.2.5 Draw the result of a transformation in the coordinate plane; i.e., translation, reflection, and rotation
Visualization, Spatial Reasoning, and Geometric Modeling
7.2.6 Build and sketch three-dimensional solids; e.g., using nets, manipulatives

7.3 Students use data collection and analysis techniques, statistical methods, and probability to solve problems

Data Collection, Display, and Interpretation
7.3.1 Formulate a question; collect, organize, and display data using a bar, line, and circle graph
Probability
- Probability: Probability of simple events (Seventh grade - Z.1)
7.3.2 Determine possible outcomes using organized lists, tree diagrams, or Venn diagrams
- Probability: Probability of opposite, mutually exclusive, and overlapping events (Seventh grade - Z.2)
- Probability: Compound events: find the number of outcomes (Seventh grade - Z.5)
7.3.3 Formulate hypotheses, conduct probability experiments, and draw conclusions from results
- Probability: Experimental probability (Seventh grade - Z.3)
7.3.4 Compute probabilities for simple events
Statistical Methods
7.3.5 Calculate and compare information provided by the mean, median, mode, and range of a set of data
Predictions, Data Analysis and Inferences
7.3.6 Describe how scale can make graphs, tables, and charts appear misleading
7.3.7 Explain inferences made from statistical information
- Probability: Make predictions (Seventh grade - Z.4)

7.4 Students use concepts and tools of measurement to describe and quantify the world

Measurable Attributes, Measurement Systems and Units
7.4.1 Estimate a measurement to the degree of precision that the tool provides
- Measurement: Precision (Seventh grade - N.7)
7.4.2 Convert unit measurements within the same system (metric and standard) when solving problems
7.4.3 Select the appropriate measure of perimeter, area, surface area, or volume to solve a problem
Measurement Tools, Techniques and Formulas
7.4.4 Select and use appropriate tools and units to determine the measurements needed for calculating perimeter, circumference, area, surface area, and volume
7.4.5 Solve problems involving scale factors, using ratio and proportion
7.4.6 Use formulas to determine the perimeter and area of trapezoids
- Geometry: Perimeter (Seventh grade - P.17)
7.4.7 Use area formulas to determine the surface area of right cylinders
- Geometry: Surface area (Seventh grade - P.28)
- Geometry: Surface area of prisms and cylinders (Eighth grade - Q.25)
7.4.8 Use formulas to determine the volume of right cylinders
- Geometry: Volume (Seventh grade - P.29)
- Geometry: Volume of prisms and cylinders (Eighth grade - Q.27)
7.4.9 Determine the area of irregularly shaped objects

7.5 Students use algebraic concepts, functions, patterns, and relationships to solve problems

Patterns, Relations, and Functions
7.5.1 Create tables and graphs to analyze and describe patterns
Numeric and Algebraic Representations
7.5.2 Create algebraic expressions and equations to represent word phrases and sentences
7.5.3 Apply the order of operations and the commutative, associative, and distributive properties to evaluate numeric expressions
7.5.4 Use inverse operations and properties of equality to solve one-step equations and inequalities in one variable
Mathematical Modeling
7.5.5 Write one-step equations and inequalities to represent problem situations
- Inequalities: Inequalities on number lines (Seventh grade - W.1)
- Linear functions: Linear function word problems (Seventh grade - X.10)
Rates of Change
7.5.6 Graph change over time; e.g., growth, distance, population