Distance, Rate, Time Activity  

Teacher Lesson Plan

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This activity is aligned to NCTM Standards - Grades 6-8: Algebra, Measurement, Problem Solving, Reasoning and Proof, Communication, and Connections and to California Mathematics Standards Grade 7: Algebra and Functions #1.1, 4.2, Measurement and Geometry #1.1 and Mathematical Reasoning #1.1, 3.1.

California Mathematics Standards to be addressed in this lesson:

Algebra and Functions
1.1 use variables and appropriate operations to write an expression, equation, inequality, or system of equations or inequalities which represent a verbal description (e.g., three less than a number, half as large as area A)
Specifically:
        d=rxt (distance equals rate times time)
        r=d/t (rate equals distance divided by time)
        t=d/r (time equals distance divided by rate)
4.2 solve multi-step problems involving rate, average speed, distance and time, or direct variation
Specifically:
        Students will be given two values and will be expected to calculate the third using the equations listed above.
Measurement and Geometry
1.1 compare weights, capacities, geometric measures, times and temperatures within and between measurement systems (e.g., miles per hour and feet per second, cubic inches to cubic centimeters)
Specifically:
        Students will be expected to learn to convert between feet per second and miles per hour.
Mathematical Reasoning
1.1 analyze problems by identifying relationships, discriminating relevant from irrelevant information, identifying missing information, sequencing and prioritizing information, and observing patterns
3.1 evaluate the reasonableness of the solution in the context of the original situation
Specifically:
        Students will be expected to compare and contrast the speed of humans walking and running with the speeds of a variety of animals that they will observe at Sea World. They will be expected to use vocabulary in their language arts essays displaying their understanding of those speeds, distances and times. The vocabulary words to be used in context should include:
rate

speed

distance

time

miles per hour

seconds per feet

compared to

feet

Assessments

  1. Essay as assigned in language arts
  2. Quiz with problems as detailed in the specific examples.

Tasks

  1. Lesson in lab - Dr. Math Questions/Answers on Distance, Rate, Time
  2. Sea World Velocity Lesson Pre-visit activity
  3. Sea World Velocity Activity
  4. Sea World Animal Information Reference

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