2. Mowing Madness
Matt, a boy in our neighborhood, run a mowing business in the summer.
When Matt complained to his father that he was bored while mowing, his father quickly replied, "How about exercising
your brain while you work on the lawns?
I imagine there are many ways to look at mowing the lawns mathematically."
Since Matt loves a math challenge, he decided to give this a try.
For one week, he decided he would cut all lawns by starting at the outside part of the lawn and mowing a path
completely around the outside edge.
Then, he would mow a second path around the remaining portion of the lawn, and he would continue "Matt-Mowing"
he competed the entire lawn.
While he mowed, Matt would create additional challenges for himself by
calculating the dimensions of the rectangles he was mowing, as well as predicting the
dimension of the last rectangle he would mow to complete the job.
3. What else do you need to know?
Matt's lawn mower cuts a path 2 ft. wide. pull
Question:
Find the dimensions of the last "Matt-mowed" rectangle
that would fit in a 48 ft. by 64 ft. yard.
4. ·What information is important?
·What math skills do you need
to help you solve the problem?
·What will you do first?
·What approach will you use?
·What strategies will you use?
5. Heidi's
Hometown
The population of Heidi's hometown at the end of 2006 was 18,079
In the next year it grew by more than 1,000, but less than 1,500
Heidi noticed that the new population had the exact same digits as it had at the end of 2006.
Question?
What was the population at the end of 2007?
6. ·What information is important?
·What math skills do you need
to help you solve the problem?
·What will you do first?
·What approach will you use?
·What strategies will you use?
7. More Recess!
Patrick prefers handball. Jasmine likes to play kickball at lunch recess.
To do this, she first needs to go to the gym and check out
He has his own handball a ball before she heads out to the playground.
which he carries
in his pocket The length of the line varies when she gets there, so
so he goes directly some days it takes longer to check out the ball than
to the playground others. The end of the, which was pretty typical, it took
after they've been the following amounts of time for Jasmine to get from the
dismissed from the cafeteria. cafeteria out to the playground:
·Wednesday - 2 minutes and 8 seconds
·Thursday - 3 minutes and 14 seconds
·Friday - 2 minuters and 43 seconds
8. Question?
1. On average, how long does it take Jasmine
to get the ball and get out to the playground?
2. About how much more recess time does Patrick
have each week, since he goes straight to the
playground with his handball?
Extra:
1. What part of the day is spent on recess?
9. ·What information is important?
·What math skills do you need
to help you solve the problem?
·What will you do first?
·What approach will you use?
·What strategies will you use?
10. Rubric
__________50 points all sections complete
1. problem
2. vocabulary/skills
3. explanation
4. work
5. solution
__________20 points accurate computation
__________20 points clear explanation with mathematical vocabulary
__________10 correct solution
Section 1: Problem printed or written.
Section 2: Vocabulary, Formulas, Skills Identified.
Section 3: Explanation of HOW you solved the problem.
Section 4: Show work- computation, chart, graph, diagram, etc.
Section 5: Solution labeled and highlighted.
ALWAYS LABEL YOUR WORK!