LEARN NC

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

About this resource

Appropriate grades
6–8
Subjects
mathematics (algebra, applied mathematics, geometry, measurement, probability, statistics)
Provider
National Council of Teachers of Mathematics

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This is the culminating lesson for this unit. Students use information from a quiz, along with what they learned in the previous four lessons, to write a summary and finalize a property sketch. Students measure their own progress in a final activity by Testing Their Firewise IQ. Illuminations provides a quiz and detailed instructions for completing the lesson.

Students will:

  • Summarize information from previous lessons.
  • Demonstrate an understanding of the mathematical connections found in the planning of fire wise environments.
  • Demonstrate an understanding of fire wise property.

NCTM Standards and Expectations:

  • Develop an initial conceptual understanding of different uses of variables.
  • Make conjectures about possible relationships between two characteristics of a sample on the basis of scatterplots of the data and approximate lines of fit.
  • Use geometric models to represent and explain numerical and algebraic relationships.
  • Select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision.

North Carolina Curriculum Alignment

Mathematics (2004)

Grade 6

  • Goal 2: Measurement - The learner will select and use appropriate tools to measure two- and three-dimensional figures.
    • Objective 2.01: Estimate and measure length, perimeter, area, angles, weight, and mass of two- and three-dimensional figures, using appropriate tools.
  • Goal 3: Geometry -The learner will understand and use properties and relationships of geometric figures in the coordinate plane.
    • Objective 3.04: Solve problems involving geometric figures in the coordinate plane.
  • Goal 4: Data Analysis and Probability - The learner will understand and determine probabilities.
    • Objective 4.02: Use a sample space to determine the probability of an event.
    • Objective 4.04: Determine and compare experimental and theoretical probabilities for simple and compound events.
    • Objective 4.05: Determine and compare experimental and theoretical probabilities for independent and dependent events.
    • Objective 4.06: Design and conduct experiments or surveys to solve problems; report and analyze results
  • Goal 5: Algebra - The learner will demonstrate an understanding of simple algebraic expressions.
    • Objective 5.04: Use graphs, tables, and symbols to model and solve problems involving rates of change and ratios.

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.
    • Objective 4.05: Solve problems involving two or more sets of data using appropriate statistical measures.
  • 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.
    • Objective 5.03: Use and evaluate algebraic expressions, linear equations or inequalities to solve problems.

Grade 8

  • Goal 3: Geometry - The learner will understand and use properties and relationships in geometry.
  • 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.
    • Objective 4.02: Approximate a line of best fit for a given scatterplot; explain the meaning of the line as it relates to the problem and make predictions.
  • Goal 5: Algebra - The learner will understand and use linear relations and functions.
    • Objective 5.03: Solve problems using linear equations and inequalities; justify symbolically and graphically.