Overview:
Our lessons are designed in such a way that you can pick one lesson that
fits in
with your curriculum. These lessons also work well when you can not avoid a
substitute teacher in your room. The lessons are self guided and will al low for
classroom discussion at a later time.
The lessons are designed to have students investigate
Graph Theory , Counting
Principles, Venn Diagrams, Least Common and Greatest Common Multiples ,
Greedy and Nearest Neighbor Graphs.
We hope you enjoy the selections we put together and they
enhance your classes.
Lessons:
1. Greatest Common Factor and Least Common Multiples
2. Number Puzzle
3. Take a Picture
4. Counting Methods
5. Gold Lotto
6. The Colorful Houses of Tourist Town
7. Ice Cream Stands
8. Ice Cream Algorithms
9. More Ice Cream
GCF & LCM
Goals
• Find a pattern to use using a Venn diagram to find the GCF and
LCM
Materials
•handout “GCF & LCM Recording Sheet”
Standards:
| 7 |
IV. DATA ANALYSIS,
STATISTICS AND
PROBABILITY |
A. Data and
Statistics |
Re present data and use various
measures associated with data to draw
conclusions and identify trends. |
| 7 |
IV. DATA ANALYSIS,
STATISTICS AND
PROBABILITY |
B. Probability |
Calculate and express probabilities
numerically and apply probability
concepts to solve real-world and
mathematical problems . |
| 7 |
I. MATHEMATICAL
REASONING |
|
Apply skills of mathematical
representation, communication and
reasoning throughout the remaining four
content strands. |
Activity
Distribute copies of handout and have students complete the following tasks
presented
on it:
1. Group students together in pairs.
2. Have students connect to website:
3. From website, students click on Factor Tree.
4. Have students solve 10 different problems and record their results on their
handout.
5. Student record a pattern or rule they can use to find the GCF & LCM from a
Venn
diagram.
Write a rule to find the GCF & LCM using a Venn Diagram:
Number Puzzle
Goal
To assess students-
•Ability to solve problems.
• To find patterns to help solve problems
Materials
Computers
Handout
Standards:
| 7 |
I. MATHEMATICAL
REASONING |
|
Apply skills of mathematical
representation, communication and
reasoning throughout the remaining four
content strands. |
| 7 |
II. NUMBER SENSE,
COMPUTATION AND
OPERATIONS |
A. Number Sense |
Use positive and negative rational
numbers, represented in a variety of
ways, to quantify information and to
solve real-world and mathematical
problems. |
| 7 |
IV. DATA ANALYSIS,
STATISTICS AND
PROBABILITY |
A. DATA AND
STATISTICS |
REPRESENT DATA AND USE
VARIOUS MEASURES ASSOCIATED
WITH DATA TO DRAW CONCLUSIONS
AND IDENTIFY TRENDS. |
Activity
The students should work with a partner. They are to go to the website and do
the
following;
1. Get with a partner
2. Pass out handout
3. Go to website
Click on “Number Puzzle”
4. Play the game and record each game.
5. Develop and write out their strategy they can use to help them win each game.
6. Test their strategy and record results
Number Puzzle Data Sheet
Take a Picture
Goal
To assess students-
•Ability to make and use tables and/or graphs
• To learn and understand counting methods
Standards:
| 7 |
IV. DATA ANALYSIS,
STATISTICS AND
PROBABILITY |
A. Data and
Statistics |
Represent data and use various
measures associated with data to draw
conclusions and identify trends. |
| 7 |
IV. DATA ANALYSIS,
STATISTICS AND
PROBABILITY |
B. PROBABILITY |
CALCULATE AND EXPRESS
PROBABILITIES NUMERICALLY AND
APPLY PROBABILITY CONCEPTS TO
SOLVE REAL-WORLD AND
MATHEMATICAL PROBLEMS. |
Materials
Paper
Color pencils (optional)
Activity
The students should work with a partner. They are to as sume that they are at
a party
with 9 other friends (total of 10 including themselves) and they want to get a
picture of
themselves and one other person but they want a picture of two with everyone .
Each student
will complete the following tasks:
1. Make a graph to represent how many pictures need to be taken.
2. Decide how many pictures total are taken, not including duplicates.
3. Repeat steps 1 and 2, but for 3, 4, 5 and 6 people in each picture.
4. Record there results in some organized method so they can present it to the
entire
class.
5. Write a rule or method they would use to determine total possibilities if
there
were nth number of people at the party.
6. Share results with entire class.
Extension
Have students determine how many possibilities for seating charts in their
classroom ,
since some are never satisfied with the seating chart the teacher makes for the
class. This
could lead into classroom management and behavior for your
class.
