Free powerpoint to teach the topics of Distance to elementary school kids aspiring to compete in math contests such as the NLMC and Math Kangaroo

1. Topic 6.
Distance
WEEK 8

2. Homework Review

3. Answer

4. Homework Review

5. Answers

6. Homework Review

7. Definition of Distance
An amount of space between two things or people.

8. Important Distance Formulas:
D = S x T
S = D / T
T = D x S

9. Converting Units Review
Steps to converting units:
Example: How many minutes are there in 3.5 hours?

10. Unit Rate Review
●A unit rate is a rate that is simplified so that it
has a denominator of 1.
Example:
Steven drives 280 miles in 4 hours. How far does Steven drive in
one hour?

11. Unit Rate Review
Answer:
Steven drives 280 miles in 4 hours. How far does Steven drive in
one hour?
Steven drives 70 miles in one hour.
Now you try:
Mike rides his horse 39 km in 195 minutes. What is his average
speed in kilometers per hour?

12. Unit Rate example problem

13. Answer

14. Distance Word Problems:
D = S x T
S = D / T
T = D / S
1. A ufo has a speed of 3,000 km per hour.
The distance between London and
Moscow is 6,000km. How long will it take
the ufo to fly from London to Moscow?
1. A family’s car can travel 50 miles in 1 hour,
how far can they travel in 5 hours?
1. An airplane flies with a constant speed of
720 km/h. How long will it take to travel a
distance of 2880 kilometers?

15. Answer:
D = S x T
S = D / T
T = D / S
1. A ufo has a speed of 3,000 km per hour.
The distance between London and
Moscow is 6,000km. How long will it take
the ufo to fly from London to Moscow?
2 hours
1. A family’s car can travel 50 miles in 1 hour,
how far can they travel in 5 hours?
250 miles
1. An airplane flies with a constant speed of
720 km/h. How long will it take to travel a
distance of 2880 kilometers?
4 hours

16. More Complex Distance Word Problems:
D = S x T
S = D / T
T = D / S
1. Mike roller skates 30 km with a constant
speed of 18 km/h and another 18 km with
a constant speed of 24 km/h. How much
time in total does he take to travel these
distances?
2. A train travels 188 miles with a constant
speed of 48 mph and another 168 miles
with a constant speed of 84 mph. How
much time in total does it take to travel
these distances?

17. More Complex Distance Word Problem:
D = S x T
S = D / T
T = D / S
1. Mike roller skates 30 km with a constant speed
of 18 km/h and another 18 km with a constant
speed of 24 km/h. How much time in total does
he take to travel these distances?
He takes 2 hours and 25 minutes to travel the
two distances.
1. A train travels 188 miles with a constant speed
of 48 mph and another 168 miles with a
constant speed of 84 mph. How much time in
total does it take to travel these distances?
It takes 5 hours and 55 minutes to travel the two
distances.

18. Distance example problem

19. Answer

20. Challenge Practice Problem
Bill and Amy want to ride their bikes from their neighborhood to
school which is 14.4 kilometers away. It takes Amy 40
minutes to arrive at school. Bill arrives 20 minutes after Amy. How
much faster (in meters/second) is Amy’s average
speed for the entire trip?
Be sure to show all necessary metric conversions!!

21. Answer
Bill and Amy want to ride their bikes from their neighborhood to
school which is 14.4 kilometers away. It takes Amy 40
minutes to arrive at school. Bill arrives 20 minutes after Amy. How
much faster (in meters/second) is Amy’s average
speed for the entire trip?
Be sure to show all necessary metric conversions!!
Amy’s average speed : 0.6 m / 1s
Bill’s average speed : 0.4 m / 1s
Amy’s average speed is 0.2 m / s faster

22. Perimeter Review
► Perimeter of Rectangles:
P= 2l(length) + 2w(width)
Squares have all sides equal,
while rectangles don’t have to
have equal sides.
► Perimeter of Triangles:
P= a+b+c
Equilateral Triangles have 3
equal sides, isosceles triangles
have 2 equal sides, and scalene
triangles don’t have equal sides

23. Perimeter example problem

24. Answer

25. More Practice Problems

26. Answer

27. More Practice Problems

28. Answer

29. More Practice Problems

30. Answer

31. Time for handouts!
Take the handouts that you printed out at home and using the
concepts that we learned today, start working on them. If you don’t
finish that’s okay, you can finish it at home.