Compiled by: Debbie Penner
Henry Braun School
Debbie has a collection of mathematics activities for the students in her middle level classroom. She keeps these activities in the "math center". What follows is some of her activities centered around operations with integers and fractions.
Two by Two
- At the math center find 2 or 3 calendar pages.
- Choose a 2 by 2 square of dates.
- Find the sum of the number on one diagonal and then find the sum on
the other diagonal.
- What have you discovered?
- Now choose another 2 by 2 square section and test for similar
- Can you find a 2 by 2 square where this relationship does not exist.
- Repeat the experiment with 3 by 3 squares and 4 by 4 squares.
One, Two, Three, Four
Use any combination of addition, subtraction, multiplication, divsion and
parethesis symbols to make the sentences true.
||(1 + 2 - 3) x 4
||1 x 2 + 3 - 4
||1 + 2 + 3 - 4
||-[(1 + 2) / 3] + 4
||(1+2) / 3 x 4
||(1 + 2) x 3 - 4
||1/2 x 3 x 4
||1 + 2 + 3 + 4
||(1 + 2) x 3 + 4
||1 x 2 + 3 x 4
||1 x (2 + 3) x 4
||1 + [(2 + 3) x 4]
||1 x 2 x 3 x 4
A Jack of All Trades
- From the math center take out a deck of cards.
- If a Jack =11, a Queen =12, a King=13 and all other cards equal the
value printed on them, what is the total of a deck of cards?
- What are all the clubs worth?
- What is the total value of all the face cards?
Place the numbers 1, 2, 3, 4, 5, 7, 12 in the first hexagon on circles at
the top so that the sum of any 3 circles that form the side of a triangle
will total 22.
Place the numbers 1, 2, 3, 4, 7, 8, 9, 10, 13, 14, 15, 16 in the second
hexagon of circles at the right so that the sum of any three circles that
form the sides of a triangle will total 23.
Congratulations: You Just Inherited 500.00 Dollars
You may buy things from a catalog with the money and you must be able to
use what you buy.
You must spent exactly $500.00 dollars-no more-no less!! not even a penny
You have 30 minutes to complete your task. If you fail... Sorry the money
goes back to the giver.
Try this one at home.
- Watch TV for any half hour segment.
- Time the various commercials and station breaks. What is the total
time of all this?
- How much time does the program take?
- What is the time of a commercial? Are they all the same length? Why
or Why not?
- Add your names. Find the answer.
- Write something about yourself with the correct number of letters.
- Now try something else. Try a subtraction problem.
||Your teacher is watching(21)
This puzzle was created by 19 year old Clifford Adams in 1910. The puzzle
is to write the first 19 positive integers in the nineteen blank cells so
that any straight line will add to 38. It is a very difficult puzzle so
some numbers have been furnished for you. Try your luck!
Pretend that an A is worth 1 cent and each other letter of the alphabet is worth 1 cent more than the letter before it.
- How much is the whole alphabet worth?
- What is the value of your name?
- What is the value of December?
- Find a word worth 75 cents.
- Find a word worth less than 29 cents.
- How many words can you find worth exactly one dollar?
- Find someone whose name is worth ten cents more than yours.
- If you have five dollars how many words could you write with it?
- What is the value of your teacher's name? ....Your principal's?
- What is the difference between your first name and your last name?
- What is the most expensive word you can write with 15 letters or less?
- Write the year you were born on the top of the page.
- Now operate with the numbers anyway you can to see how many numbers
you can get.
||1 + 9 + 6 + 2||=||18
||1 x 9 x 6 x 2||=||108
||1 + 9 + 6 x 2||=||22
||1 + 9 - 6 + 2||=||6
||(1 x 9) + (6 x 2)||=||21
||1 + 9 + 6 - 2||=||14
For the following activity use all the members of the class (including your
- Give a fraction to tell what part of the class are girls
- Give a fraction to tell what part of the class are boys.
- Give a fraction to tell what part of the class wear glasses.
- Give a fraction to tell what part of the set of girls wear glasses.
- Give a fraction to tell what part of the set of children are girls
- Give a fraction to tell what part of the set of boys is wearing
- Go to the math center and take out an egg carton and the marbles. Put
one marble in the egg carton. What fraction is filled?
- Continue on in this way until the whole egg carton is filled. Write
down all the fractions you made.
- Write equivalent fractions in simplest form for the ones that can be
- Make a checker board on a sheet of paper so you have 6 squares on
- Put 4 markers on the paper. What fraction have you created?
- Fill 1/6 of the squares. How many have you covered?
- Fill 1/9 of the squares. How many have you covered?
- Use the board to complete these:
a) 1/9 + 1/9
b) 1/12 +1/12
c) 1/12 +1/6
d) 2/9 +1/6
3. One sixth of 36 is 6 so there would be 6 squares covered
4. One ninth of 36 is 4 so there would be 4 squares covered
5 a) From 4 above one ninth of 36 is 4 and 4+4 = 8 so 1/9+1/9=8/36=2/9
b) One twelth of 36 is 3 so 1/12+1/12=6/36=1/6
d) One ninth of 36 is 4 so two ninths of 36 is 8. Thus two ninths of 36
one sixth of 36 is (8+6)/36=14/36=7/18.
- Choose a partner.
- At the math center find the set of dominoes.
- Lay all the dominoes face down in front of you.
- Each domino represents a fraction. The smaller number in each case
represents the numerator, so there are no fractions greater then 1.
- Each player takes a turn and turns over two dominoes.
- Each player must add the two fractions together. (Use paper if needed).
- The first player to finish is the winner of the round.
- Go to the math center and take out an egg carton and the marbles.
- Use the egg carton and marbles to compute the following. (Work in
partners if you wish and see who can get the answer the quickest. )
a) 1/4 +1/3 Answer 7/12
b) 1/2 +1/3 Answer 5/6
c) 2/3 + 1/4 Answer 11/12
d) 1/12 + 3/4 Answer 5/6
e) 1/2 + 1/12 Answer 7/12
f) 1/4 + 5/12 Answer 2/3
g) 1/12 +7/12 Answer 2/3
h) 2/3 + 1/12 Answer 3/4
Boil, Bake or Fry a Fraction
The followng recipe makes 7 1/2 dozen cookies. How many cookies is this?
That's alot isn't it? Suppose you don't want to make all these cookies as
you have a small family. Write a recipe for 1/2 batch of cookies.
(Remember: "of" means multiply).
1 1/2 c. flour 2 eggs, beaten
1 tsp, baking soda 1 tbsp. hot water
1 tsp. salt 1 tsp. vanilla
1 c. lard 1 c. chopped nuts
3/4 c. brown sugar 1 - 6 oz. package of choc. chips
3/4 c. white sugar 2 c. rolled oats
Sift flour, b. soda and salt. Cream together lard and sugars. Beat in
eggs, hot water and vanilla. Blend in dry ingredients, nuts, choc. chips
and rolled oats. Using a teaspoon, drop on greased cooke sheet. Bake at
350 degrees for 8-10 minutes. Makes 7 1/2 dozen
Solution for half a batch of cookies:
3/4 c. flour
1/2 tsp.b soda
1/2 tsp salt
1/2 c. lard
3/8 c. brown sugar
3/8 c. white sugar
1/2 tbsp. hot water
1/2 tsp. vanilla
1/2 chopped nuts
3 oz.. choc. chips
1c. rolled oats
- 3/10 of figure (a) is shaded. Another way of writing that is 0.3 and
we read it as "zero decimal three".
- 0.3 means the same as 3/10.
- Write the fraction and decimal that names the shaded part of each
a) 3/10= 0.3
b) 7/10= 0.7
c) 5/10= 0.5
d) 2/10= 0.2
e) 1/10= 0.1
Now, write each common fraction above as a decimal fraction.
- Cut out a large paper pentagon.
- Fold the pentagon to show ten equal parts.
- Colour one of the equal parts red.
- What fraction of the pentagon is coloured red?
- Write this fraction on the red part.
- Colour two of the equal parts green.
- What fraction of the pentagon is coloured green?
- Write this fraction on the green part.
Colour one half of the pentagon blue and, on the blue part, write the decimal fraction for the portion of the pentagon that is coloured blue.
Find a pattern then complete the figure.
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