LEARN NC

K–12 teaching and learning · from the UNC School of Education

About this resource

Appropriate grades
7–8
Subjects
mathematics (algebra, applied mathematics, probability, statistics)
Provider
National Council of Teachers of Mathematics

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In this unit, students will have an opportunity to fully explore the patterns that result from the Paper Pool game. Illuminations provides an introduction to Paper Pool, an activity sheet, and instructions for completing the lesson.

Students will:

  • Learn the rules of Paper Pool.
  • Play several games of Paper Pool.
  • Record data from several games of Paper Pool.

NCTM Standards and Expectations:

  • Represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic rules.
  • Model and solve contextualized problems using various representations, such as graphs, tables, and equations.
  • Select, create, and use appropriate graphical representations of data, including histograms, box plots, and scatterplots.

North Carolina Curriculum Alignment

Mathematics (2004)

Grade 7

  • Goal 4: Data Analysis and Probability - The learner will understand and use graphs and data analysis.
    • Objective 4.01: Collect, organize, analyze, and display data (including box plots and histograms) to solve problems.
  • Goal 5: Algebra - The learner will demonstrate an understanding of linear relations and fundamental algebraic concepts.
    • Objective 5.01: Identify, analyze, and create linear relations, sequences, and functions using symbols, graphs, tables, diagrams, and written descriptions.
    • Objective 5.02: Translate among different representations of algebraic expressions, equations and inequalities.

Grade 8

  • Goal 4: Data Analysis and Probability - The learner will understand and use graphs and data analysis.
    • Objective 4.01: Collect, organize, analyze, and display data (including scatterplots) to solve problems.
  • Goal 5: Algebra - The learner will understand and use linear relations and functions.
    • Objective 5.01: Develop an understanding of function.
      • Translate among verbal, tabular, graphic, and algebraic representations of functions.
      • Identify relations and functions as linear or nonlinear.
      • Find, identify, and interpret the slope (rate of change) and intercepts of a linear relation.
      • Interpret and compare properties of linear functions from tables, graphs, or equations.
    • Objective 5.03: Solve problems using linear equations and inequalities; justify symbolically and graphically.