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Math Lessons
Bar graphs and M & M's
The kids really enjoy
learning estimation and bar graphing with this activity.
- Give each student an
individual package of M & M's.
- Before the students open
them have them estimate how many of each color will be in their
package.
- Allow the students to open
the package and count the numbers of each color and see how
close they were.
Next it's time to begin the
graphing. (Ordinary loose leaf paper works fine for this.)
- Have the students draw a
large capital "L" on the paper.
- Across the bottom of the
"L" they should write the colors of M & M's.
- Along the left of the
"L" they should write numbers. (I recommend having the
number cross each line.)
- Now have the students graph
the number of M & M's of each color on the bar graph.
To add some color
to the activity let them do this in colored pencils or crayons that
coordinate to the M & M color. When graphs are complete the M
& M's become a tasty treat.
Homework Checking
This can be a partner
or cooperative group activity to check daily homework. It takes a
little longer than reading off answers, but I find a lot of good
student learning going on when I choose this method. It also breaks
the monotony of daily math homework.
Give each group a copy of a sheet to fill out with the following
directions on it:
Homework Checkers
- Compare homework answers.
- Discuss any answers that
are not similar.
- Correct your papers
together.
- Fill in the sheet below for
any answers you have changed and your reasons why.
- Make certain that everyone
in your group's answers now agree.
-
Staple all
papers together and turn in to your teacher.
The teacher will grade only one paper from your group. Each
group member will receive that grade.
Group members:
| Problem number |
Reason that
answer was changed |
| 1 |
2 members either
added or subtracted incorrectly |
| 8 |
Decimal was placed
incorrectly |
| 17 |
Answer was not
rounded to nearest tenth |
Contributed by Kay
Bargain Buyer
Collect advertising circulars from the Sunday paper. Give each
student a copy of the directions below. They have a time limit
of one class period to complete the activity.
The student who comes closest to $500.00 without going over wins
a prize. Students should use calculators to compute the tax.
Directions:
You have just been hired with several others to be a buyer on a
trial basis. The buyer who does the best will get to keep the
job.
You have been given $500.00 from your employer. You must make
the best use of the money possible and you must S-T-R-E-T-C-H
your money! In order to do this you must follow a few simple
rules:
1. You may only use the circulars provided.
2. You may only purchase an item once.
3. You may not purchase anything over $100.00.
4. You must purchase as many items as possible.
5. You may not help your competition.
6. You must only work in math class.
7. You must itemize your purchases on a tally form.
8. You must tally your items.
9. You must figure out the tax on the total.
10. You must not go over $500.00 (including tax).
Note: All items are subject to a 6% tax.
Contributed by Kathy
Quick Math
Here are 3 quick ideas for those times between lessons or while
waiting for the end of class:
QUICK MATH #1:
- Using a deck of cards,
have two students draw a card and not look at it. They show
these to the class - but not to each other - by holding the
card on their foreheads.
- The whole class will
then say, "The product is __________ ."
- The students with the
cards then turn and face each other, and look at the others
student's card.
- The first student to
figure out the card they are holding wins and gets to choose
the next pair to hold the cards.
This is good multiplication review, and it involves everyone.
QUICK MATH #2:
After teaching what a "100 chart" is, have 2 (or more)
students draw a nine square grid - like in playing tic-tac-toe - on
the board. Start the game by telling the students what number is in
the center box, for instance "64."
Students then race to fill in the rest of the grid. For example:
| 53 |
54 |
55 |
| 63 |
64 |
65 |
| 73 |
74 |
75 |
Vary the game by starting in different cubes, or making the grid
larger. The game helps students with number sense and relationship.
They're adding or subtracting quickly and logically. They see
patterns and multiples...
QUICK MATH #3:
Using a ten sided cube (or cards from 0-9), have students build a
number.
They draw 4 lines indicating place value of ones, tens, hundreds,
and thousands - like this: _ , _ _ _. They also have a space to
"throw away" a number: _.
Instructions can be "Make the largest number," "the
smallest number," or "the number closest to, for example,
"5,000."
Draw the first number. Students choose which place to put it in -
and their neighbor makes sure they don't change this. Draw the
second number, and so on for 5 numbers - even if the same number
repeats.
Amazingly, there is enough luck involved that students rarely tie -
and it's a chance for lower math students to win at something. This
game really helps build place value conceptual understanding - and
it can be used for decimals as well. The whole class can play and
try to "beat the teacher."
Adding Integers
For many students, adding negative and positive numbers is a very
difficult concept to grasp. To help them visualize it in a concrete
way, use this simple strategy:
- Laminate sheets of white
and black construction paper and cut them into one inch squares.
The black squares represent negative numbers; the white squares
represent positive numbers.
- To add -7 and +5, lay out
seven black squares, then place five white squares below them,
aligning them one by one.
Example:
X= black
0= white
X X X X X X X
0 0 0 0 0
- Each X0 pair cancels each
other out (-1 plus +1=0), so remove the pairs.
- The resulting answer would
be X X or -2.
Contributed by Angie
What Day Were You Born?
Just a fun activity that the kids enjoy.
Follow these directions to find what day of the week you were born:
- Write down the last two
digits of the year you were born. Call this number A.
- Divide that number (A) by
4, and drop the remainder if there is one. This answer, without
the remainder, is B.
- Find the number of the
month you were born from the month table below. This is number
C.
- What day of the month were
you born? This is number D.
- Add the numbers from the
first four steps: A + B + C +D.
- Divide the sum you got in
step 5 by the number 7. What is the remainder from that
division? (It should be a number from 0 to 6.)
- Find this remainder in the
Day Table. This tells you what day of the week you were born.
(This method works for any day in the 20th century.)
NOTE: Leap years from 1960
to present: 1960, 1964, 1968, 1972, 1976, 1980, 1984, 1988, 1992,
1996, 2000, 2004, 2008
MONTH TABLE
| Month |
Number to use |
| January |
1 (leap year is 0) |
| February |
4 (leap year is 3) |
| March |
4 |
| April |
0 |
| May |
2 |
| June |
5 |
| July |
0 |
| August |
3 |
| September |
6 |
| October |
1 |
| November |
4 |
| December |
6 |
DAY TABLE
| Day |
Number to use |
| Sunday |
1 |
| Monday |
2 |
| Tuesday |
3 |
| Wednesday |
4 |
| Thursday |
5 |
| Friday |
6 |
| Saturday |
0 |
Contributed by Luann
Calendar Math
Using old calendars, paste each page onto cardboard. At the bottom
write directions such as:
- Add the dates of all the
Mondays.
- Subtract the date of the
first Sunday from the date of the fourth Tuesday.
- Multiply the sum of the
dates of each day in the third week by five.
- Divide 2,500 by the sum of
the even days in the month.
You could write the answers on
the back of the card for easy checking and use as an extension
activity or photocopy for the class.
Contributed by Debra
Math Scavenger Hunt
Materials: newspapers, scissors, glue, one large piece of paper per
group
Students find, cut, and glue the following:
- numeral over 1000
- numeral less than 10
- numeral between 10 and 100
- telephone number
- address
- Roman numeral
- number written in words
- radio call number
- TV channel number
- temperature
- ID number of any kind
- square
- rectangle
- circle
- triangle
- date
- mixed number
- fraction
- decimal - but not money
- zip code
- money number
- percent
- an age
- time of day
- parallel line
- type of graph
To make it more challenging, you could have the groups race to find
the items.
Fun With Numbers
Here's how to have some fun with numbers...(6174 is the only number
that shows up like this)
Directions:
1. Pick 4 different numbers from 0 to 9.........
7823
2. Arrange them to make the largest number possible.........
8732
3. Now arrange them to make the smallest number.........
2378
4. Subtract the small number from from the large one.........
8732 - 2378 = 6354
5. Now, take the answer and arrange those numbers to make the
largest number possible.........
6543
Then make the smallest number possible.........
3456
And subtract the two.........
6543 - 3456 = 3087
6. Repeat step #5 until the number 6174 appears - it always
will.........
8730 (largest) - 0378 (smallest) = 8352
8532 (largest) - 2358 (smallest) = 6174
And there you have it!
Contributed by Keila
Solving Word Problems with SQRQCQ
Survey
Read the problem rapidly, skimming to determine its nature.
Question
Decide what is being asked-in other words, what the problem is.
Read
Read for details and interrelationships.
Question
Decide what processes and strategies should be used to address
problems.
Compute
Carry out necessary computations.
Question
Ask whether the answer seems correct. Check computations against the
facts presented in the problem and against basic arithmetic facts.
Contributed by Holly
Hit the Target
- Students select 5 random
digits - for example: 6, 2, 4, 7, 8.
- Students select one number
from their list as the target - for example: 8.
- Using only the other 4
digits in any combination, and using each digit ONLY once in
each problem, the students must use any math function to reach
the target digit. Digits may also be used as exponents. For
example:
(2 * 4)*(7 - 6) = 8,
72 - 64 = 8,
72/6 - 4 = 8
This really starts kids thinking and reviewing in a fun way!
Contributed by Gus
Pattern Block Recreation
This is a fun activity to do when you are working on geometry and
want to practice using the shape names.
Materials: Pattern Blocks
Directions:
1. Have students work in pairs
2. Each student should have a small set of Pattern Blocks. (Each set
should have the same number and kind of blocks).
3. A screen, such as a notebook, is placed between the two students.
4. The first student creates a design with some of his/her Pattern
Blocks and explains to the second student how to replicate the
design. Directions are given, such as, "Place the hexagon to
the right of the trapezoid."
5. When all directions have been given, students compare their
designs to see how well they match.
6. Students reverse roles and the activity is repeated
NOTE: In giving directions, students need to name the shape
but not the color. The only blocks that need more specific
descriptions are the blue and tan parallelograms. Have students
determine what they will be called before the activity begins (e.g.,
the "fat" parallelogram and the "skinny"
parallelogram). Colors may not be used.
Contributed by Khandi
WAR....With a Twist
Maybe you've heard of the card game called WAR? You can use this as
the basis for a review game to practice multiplication skills! All
you need is a little bit of extra time - at the beginning or the end
of a class period, on game day, etc.
To play, you will need a deck of cards for each pair of students who
will be playing. In each deck, cover the Jacks, Queens and Kings
with plain white adhesive-backed name tags. In permanent marker,
assign the Jacks the value of 11, the Queens the value of 12, and
the Kings the value of 13. The Aces serve as a wild card.
In their partner groups, each student gets exactly half the deck of
cards as his/her "stack". Each player flips a card over at
the same time, revealing their numbers. Whoever is first to
correctly multiply the two numbers together wins the two cards. If an
Ace comes up, the person who had the Ace can make it any number they
choose. The other person has to multiply the 2 numbers. If they
can't, or if they get the wrong answer, the person with the Ace gets
the cards.
Students play until they use all of their cards. Whoever ends the
game with the biggest pile of cards wins the game.
Contributed by Jennifer
Division Cues
When it comes to division, an easy way to practice estimate, multipy,
subtract, check, bring down, is to remember that:
Every
McDonalds
Sells
Cheese Burgers
Contributed by Neil
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