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

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http://illuminations.nctm.org/LessonDetail.aspx?ID=L463

A lesson plan for Grades 9–12 Algebra 1

Provider: National Council of Teachers of Mathematics

About this resource

Appropriate grades
9–12
Subjects
mathematics (algebra, applied mathematics)
Provider
National Council of Teachers of Mathematics

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To test their conjectures, students gather data using one of three different methods: using a simulated online dive; covering a tank with plexiglass to simulate ocean water; or, incrementally filling a column with water to simulate increasing depth. Illuminations provides links to necessary web resources, a packet of handouts, and detailed instructions for completing the tasks.

Students will:

  • Explore exponential models in context.

NCTM Standards and Expectations:

  • Use symbolic expressions, including iterative and recursive forms, to represent relationships arising from various contexts.
  • Identify essential quantitative relationships in a situation and determine the class or classes of functions that might model the relationships.
  • Draw reasonable conclusions about a situation being modeled.

North Carolina Curriculum Alignment

Mathematics (2004)

Grades 9–12 — Algebra 1

  • Goal 1: Number and Operations - The learner will perform operations with numbers and expressions to solve problems.
    • Objective 1.01: Write equivalent forms of algebraic expressions to solve problems.
      • Apply the laws of exponents.
      • Operate with polynomials.
      • Factor polynomials.
    • Objective 1.02: Use formulas and algebraic expressions, including iterative and recursive forms, to model and solve problems.
    • Objective 1.03: Model and solve problems using direct variation
  • Goal 3: Data Analysis and Probability - The learner will collect, organize, and interpret data with matrices and linear models to solve problems.
    • Objective 3.03: Create linear models for sets of data to solve problems.
      • Interpret constants and coefficients in the context of the data.
      • Check the model for goodness-of-fit and use the model, where appropriate, to draw conclusions or make predictions.
  • Goal 4: Algebra - The learner will use relations and functions to solve problems.
    • Objective 4.01: Use linear functions or inequalities to model and solve problems; justify results.
      • Solve using tables, graphs, and algebraic properties.
      • Interpret constants and coefficients in the context of the problem.
    • Objective 4.03: Use systems of linear equations or inequalities in two variables to model and solve problems. Solve using tables, graphs, and algebraic properties; justify results.