7th Grade

National Mathematics Advisory Panel: Critical Foundations for Algebra – mastered by end of grade

  • Students should be proficient with all operations of positive and negative fractions
  • Students should be able to solve problems involving percent, ratio, and rate and extend this work to proportionality
  • Students should be familiar with the relationship between similar triangles and the concept of the slope of a line

National Council of Teachers of Mathematics – Curriculum Focal Points – recommended emphasis

  • Number & Operations and Algebra
  • Developing an understanding of and applying proportionality, including similarity
  • Geometry & Measurement and Algebra
  • Developing an understanding of operations on all rational numbers and solving linear equations
  • Number & Operations and Algebra
  • Developing an understanding of and using formulas to determine surface areas and volumes of three-dimensional shapes

MN 2007 Math Standards - mastered by all students in time for the grade-level test

  • Number & Operations
  • Read, write, represent and compare positive and negative rational numbers, expressed as integers, fractions and decimals.
  • Read, write, represent and compare positive and negative rational numbers, expressed as integers, fractions and decimals.
  • Calculate with positive and negative rational numbers, and rational numbers with whole number exponents, to solve real-world and mathematical problems.
  • Algebra
  • Understand the concept of proportionality in real-world and mathematical situations, and distinguish between proportional and other relationships.
  • Recognize proportional relationships in real-world and mathematical situations; represent these and other relationships with tables, verbal descriptions, symbols and graphs; solve problems involving proportional relationships and explain results in the original context.
  • Apply understanding of order of operations and algebraic properties to generate equivalent numerical and algebraic expressions containing positive and negative rational numbers and grouping symbols; evaluate such expressions.
  • Represent real-world and mathematical situations using equations with variables. Solve equations symbolically, using the properties of equality. Also solve equations graphically and numerically. Interpret solutions in the original context.
  • Geometry & Measurement
  • Use reasoning with proportions and ratios to determine measurements, justify formulas and solve real-world and mathematical problems involving circles and related geometric figures.
  • Analyze the effect of change of scale, translations and reflections on the attributes of two-dimensional figures.
  • Data Analysis
  • Use mean, median and range to draw conclusions about data and make predictions.
  • Display and interpret data in a variety of ways, including circle graphs and histograms.
  • Calculate probabilities and reason about probabilities using proportions to solve real-world and mathematical problems.