Burning questions
http://illuminations.nctm.org/LessonDetail.aspx?ID=L666
A lesson plan for Grades 6–8 Mathematics
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.
- Objective 3.01: Represent problem situations with geometric models.
- 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.



