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Best buy and speed: 6th grade math

Unit price, constant speed. A free 6th grade lesson plan, a question set with answers and a printable sheet with its key. Copy it and make it yours.

Lesson plan

Goal

  • Students can do this: unit price, constant speed.

Teach (10 min)

  • Speed is a unit rate: distance for 1 unit of time. Distance = speed × time.
  • 55 miles per hour for 3 hours is 55 × 3 = 165 miles. For speed, divide: 165 ÷ 3 = 55.
  • Work one example on the board while students say each step aloud, then do one together.

Practise (15 min)

  • Students work the printable sheet in pairs, then alone.
  • Or practise it as a game with no sign-up: https://peabody.kids/math/ratio6.rate?lesson=6-ratio6-rate-1&at=6

Exit ticket (5 min)

  • Three questions on a slip:
  • 1. A cyclist goes at a steady 11 miles per hour for 4 hours. How far does it go?
  • 2. A runner goes 114 meters in 19 seconds at a steady speed. What is the speed in meters per second?
  • 3. A cyclist goes 52 miles in 4 hours at a steady speed. What is the speed in miles per hour?

Question set

10 questions that read in words, easiest first. Questions that need a picture are on the printable sheet below.

  1. A cyclist goes at a steady 11 miles per hour for 4 hours. How far does it go?
  2. A runner goes 114 meters in 19 seconds at a steady speed. What is the speed in meters per second?
  3. A cyclist goes 52 miles in 4 hours at a steady speed. What is the speed in miles per hour?
  4. A bus goes 150 miles in 3 hours at a steady speed. What is the speed in miles per hour?
  5. A boat goes 76 miles in 4 hours at a steady speed. What is the speed in miles per hour?
  6. A boat goes 52 miles at a steady 13 miles per hour. How many hours does that take?
  7. A hiker goes at a steady 5 kilometers per hour for 6 hours. How far does it go?
  8. A cyclist goes 45 miles in 3 hours at a steady speed. What is the speed in miles per hour?
  9. A car goes 360 miles at a steady 60 miles per hour. How many hours does that take?
  10. A boat goes at a steady 17 miles per hour for 3 hours. How far does it go?
Answers
  1. 44 miles
  2. 6 meters per second
  3. 13 miles per hour
  4. 50 miles per hour
  5. 19 miles per hour
  6. 4 hours
  7. 30 kilometers
  8. 15 miles per hour
  9. 6 hours
  10. 51 miles

Printable sheet

Name: ____________________   Date: ____________

Best buy and speed (6th grade)

  1. A bus goes 80 miles in 2 hours at a steady speed. What is the speed in miles per hour?
  2. An airplane goes at a steady 300 miles per hour for 5 hours. How far does it go?
  3. A car goes 360 miles in 6 hours at a steady speed. What is the speed in miles per hour?
  4. An airplane goes 2100 miles in 6 hours at a steady speed. What is the speed in miles per hour?
  5. A car goes 90 miles at a steady 30 miles per hour. How many hours does that take?
  6. A cyclist goes at a steady 16 miles per hour for 3 hours. How far does it go?
  7. A hiker goes 17.5 kilometers at a steady 5 kilometers per hour. How many hours does that take?
  8. A hiker goes at a steady 3 kilometers per hour for 3.5 hours. How far does it go?
  9. A cyclist goes 16 miles per hour for 5 hours, then 13 miles per hour for 3 hours. How far does it go in all?
  10. A car goes at a steady 30 miles per hour for 3.5 hours. How far does it go?
  11. A runner goes 30 meters at a steady 4 meters per second. How many seconds does that take?
  12. A car goes at a steady 55 miles per hour for 6.5 hours. How far does it go?
Key
  1. 40 miles per hour
  2. 1500 miles
  3. 60 miles per hour
  4. 350 miles per hour
  5. 3 hours
  6. 48 miles
  7. 3.5 hours
  8. 10.5 kilometers
  9. 119 miles
  10. 105 miles
  11. 7.5 seconds
  12. 357.5 miles

Written by Peabody from its own skill pages. Free, no ads, no sign-in. Children can practise this on Peabody. More from teachers: teacher-shared resources.