Seventh Grade Mathematics Content Standards
Students demonstrate conceptual understanding and computational accuracy.
Students use problem solving approaches to investigate and understand mathematical content.
Students communicate their understanding of mathematics by reflecting on and clarifying their thinking about mathematical ideas and situations.
SEVENTH GRADE STUDENTS ARE EXPECTED TO:
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Numbers and operations
- Solve proportions including rates, unit costs, and density
- Solve percentage problems when the percent, base, or part is unknown
- Perform operations with positive and negative integers
- Simplify expressions using all operations with square roots, exponents, and grouping symbols
- Calculate powers and roots of integers
- Model absolute value on the numberline
- Understand that composite numbers are the products of primes
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Measurement and Geometry
- Determine perimeters and areas of common polygons and circle label with correct units
- Make reasonable estimates of the accuracy of measurements, and verifying using measurements
- Use vocabulary commonly used to describe geometric forms including types of angles, triangles, polygons, and relationships between geometric forms
- Use Pythagorean Theorem to find the missing side of a triangle
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Functions and Algebra
- Identify, describe, represent, extend and create linear and nonlinear patterns
- Identify geometric sequence and determine the next number in order
- Identify and create non-numerical sequences and determine the next item in order
- Solve single step equations involving the four basic functions with integers and rational numbers
- Solve word problems with the use of single step equations
- Substitute rational values into given equations
- Interpret graphs of simple functions
- Solve simple two and three step equations
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Statistics and Probability
- Draw, analyze, and interpret bar graphs, scattergrams, histograms, and pictograms
- Represent concepts of probability including results or experiments, constructing simple games and estimating the probability of simple events
- Determine theoretical and experimental probabilities to make predictions about events
- Determine the mean, median and mode of a set of data to decide which average is most appropriate
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Problem solving and mathematical reasoning
- Make decisions about how to approach problems to determine what is being asked and how to approach a solution
- Using strategies such as making conjectures, estimations, modeling, graphing, tables, and logical reasoning to find solutions
- Determine a solution is complete and move beyond it to generalize the problem