Example: It takes me 2 hours to cover the 120 miles to grandma’s house. So, I am traveling at 60 miles per hour.
120 (distance) = 60 (rate) X 2 (time)
Favorite Mathy Things and or/ Real-World Math Stuff: [Pick one bullet per blog response. Answer as many as you like.]
RAGGEDY ANN COOKIES | |
1 c. brown sugar, packed firmly
1 c. shortening 1 egg 1 tsp. maple flavoring 2 1/4 c. sifted all-purpose flour 1/2 tsp. baking powder 1/2 tsp. salt 1 c. shredded coconut Granulated sugar
Beat together brown sugar, shortening, egg and maple flavoring until fluffy. Add flour, baking powder and salt and mix well. Stir in coconut. Drop by spoonfuls 2 inches apart onto greased cookie sheet. Dip bottom of greased small glass into granulated sugar and press cookie flat. (Edge will be ragged.) Bake in 350 degree oven 10 to 12 minutes. Cool on rack. Yield: 5 dozen.
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X Y
3…..7
5…..11
8…..17
4…….?
6…….?
?…….21
?…….25
So what is going on here? Well it is time for a little Function Fun! If you look at my function table (ok – really can’t create the boxes here – but you get the idea), what numbers go in all the question marks? What is the function rule? Well beside the 4 would be a 9, so (4,9). Beside the 6 you would get a 13, so (6,13). The final two would be (10,21) and (12,25). By now I’m sure you figured out the function rule which is twice the X value plus one. I’ll write that as Y=2X+1. OK, I know what you are thinking. Good for you Mr. Polack, now what are we suppose to do? Well here is your challenge, during the month of Febreuary everyone gets to make as many Function Fun tables you like. Just as I did up top. You need to have at least three lines with both x and y values and then at least a few with missing x values and a few with missing y values. (Hint: Use seven periods between numbers.) DO NOT TELL PEOPLE THE RULE OR THE ANSWERS LIKE I DID! During the last week of February, I will go in and start approving answers to be posted. So you can try to solve each other’s Function Fun Tables but I won’t post any answers until the end of the month. Then in class, we will see who was able to figure out whose tables. Feel free to make as many as you like! On your mark… get set…FUNCTION AWAY!!!!!
Mathematical Musings
(Answer one at a time. Answer as many times as you like.)
On the twelfth day of Christmas, my true love sent to me ….
Twelve drummers drumming,
(What kind of drum? How big is it? What is the area of the top? What is the circumference? How many cubic inches of air are inside the drum?)
Eleven pipers piping,
(Bag pipes I presume? How much air from your lungs is needed to get sound out of the bag pipes?)
Ten lords a-leaping,
(How high are they leaping? How many times do they leap? Will you measure that by the minute?
Do they leap all day? Do they sleep? Eat? Take a break?
What is the combined leap of the ten lords during the twelve days of Christmas?)
Nine ladies dancing,
(What kind of dancers? How long do they dance?
How many combined hours during the twelve days do they dance?)
Eight maids a-milking,
(Let’s assume each maid has her own cow to milk. How long per day can the average cow be milked?
How much milk does the average cow produce in one day?
What would it cost to buy the milk from the eight cows during the twelve days of Christmas?)
Seven swans a-swimming,
(So if they swim in a rectangular pool that is 40 ft long by 20 feet wide, with a shallow end 3 feet deep that is 15 ft long and a deep end 9 ft deep that is 15 ft long – the remaining 10 ft is a slope – what is the volume of the pool?
Hint: There are about 7.48 cubic ft in a gallon!)
Six geese a-laying,
(How many eggs do geese lay? Do they lay eggs every day?
Assuming these are all adult geese,
how many eggs would you expect these six geese to lay during the twelve days of Christmas?)
Five golden rings,
(How do you measure gold rings? [karats?] What does gold cost these days?
It can change daily. What might it cost to buy these five golden rings?)
Four calling birds,
(Sound is measured in decibels. How loud do you suppose four birds calling are?)
Three French hens,
(Make up your own for this one and post back to the blog for others to solve.)
Two turtle doves,
(Where are you going over the break? [city, town, state?]
How many combined miles would it be for these two turtle doves to fly round trip with you?)
And a partridge in a pear tree!
(The ratio of partridges here to pear trees is 1 to 1 [one partridge – one pear tree]. But what do you suppose the ratio is of partridges to pears? How many pears does an average pear tree have at any given time?)
We have a big break coming up at the end of November! Many families will celebrate Thanksgiving. Just about everyone will get together with relatives and maybe some friends. Find out what your family is planning. Are you having a big celebration at your house on Thanksgiving? Are you going to a relative’s house on Thanksgiving? Are you going out to eat somewhere? Are you going to a friend’s house on Thanksgiving? Figure out (ask parents to help) how many people in total do you expect to be there. Make sure to include all brothers, sisters, parents, aunts, uncles, cousins, grandparents, friends of the family [FOF], and anyone else. How many of them are male? How many are female? How many are age 10 and under? How many are 11 and older? How many live in the state of Maryland? How many live outside the state of Maryland?
Record all the information below first as a fraction [11/20 for females would mean that 11 of the 20 people coming are female], then as a decimal [so 11/20 would = 0.55], then as a percent [11/20 = 55%]. Remember you can use keyboard shortcuts to copy the following and paste it into your answer. Then you just need to write the fractions, decimals and percents.
Males:
Females:
Brothers:
Sisters:
Parents:
Aunts:
Uncles:
Cousins:
Grandparents:
Friends of the family [FOF]:
Age 10 or under:
Age 11 or older:
Live in the state of Maryland:
Live outside the state of Maryland:
Bonus A:
Add another category or two (or several) of your choice. Be creative [how many have x-box’s, iPads, been to Disney World – anything you can think of!]
Bonus B:
What is your highest fraction/decimal/percent? What is your lowest? What is the median fraction? What is the mean decimal? (Might want to use a calculator for that one.) What is the range of your fractions or decimals?