Saturday, 23 April 2016

Formula worksheet Yr 11 Revision

I wrote a play last year about two university professors called Matters of Taxonomy. One of the characters, Eppy Davies PhD, lectures in Mathematics for the Arts faculty. I'm including a little extract of the play below:

Cosmo: I dropped out of Year 11 maths for a good reason. I'm doing a degree in Film Studies because I'm in the business of telling stories.

Beat.

Eppy: you're wrong.

Cosmo: about what?

Eppy: about math, and story-telling. The single most important story that mankind ever told was about math. That's why, in every culture, that ever existed, in some way, in some form, they articulated that one plus one equals two.

I know very little about mathematics, but I do occasionally tutor mathematics, and very seriously thought about teaching Junior maths in a high school. I was always bothered by the bland problems students had to solve because they seemed totally uninteresting and irrelevant. Here are two actual NCEA Level 1 problems:

An adult movie ticket is $5.00 more than a child movie ticket.
6 child movie tickets and 9 adult movie tickets costs $225 altogether.

What is the cost of 1 adult movie ticket?

Michelle has twice as much money as Nicola. If Nicola is given $60, she will now have twice as much money as Michelle. After Nicola has been given the $60, how much money would Michelle need to be given so they have the same amount? Remember to show algebraic working, including at least one equation.


Who could give less of a s*it? Not me, certainly. So, whenever I tutor mathematics now I always write my own worksheets. Here are some of the good ones I've written:

3: The Love Life of Jamie and Sophie.

Jamie wishes to place an ad in the Lonely Hearts section of the North Shore Times. The NST charges a fixed fee of $35, plus $2 per word.

a) write a formula which demonstrates how the NST charges people in the Lonely Hearts section.




b) Jamies spent $717 on his ad. How many words did he use?




c) Jamie gets a reply from his ad from a girl called Sophie. Jamie and Sophie agree to meet for a date. At 5pm, they begin walking towards each other. Jamie walks at 6km per hour. Sophie walks at 5 km per hour. After twenty minutes, they meet. How far apart were they to begin with?




d) For their second date, Jamie and Sophie meet up after their work day is over (they both finish work at 6pm). They are 4.5 km from each other and are walking. How long does it take them to meet?




e) Sophie starts dying of tuberculosis. Jamie will spent three days during his work weeks, W, with Sophie, but has also taken three weeks of vacation time to solely spend with Sophie. Create a formula which calculates how many days they will spend together.




f) Sophie dies on a Tuesday. Jamie and Sophie spent 88 days together while Sophie was dying. How many of Jamie's work weeks did Sophie live with tuberculosis?

4. Miller runs a Business.

Miller wants to start his own IT company, Miller's IT Company. He will pay Scott $40 an hour and Maggie $30 due to the wage gap and systemic societal issues about gender and women in the workplace. On top of this, Miller must also give Maggie $320 as a sign-on bonus, and Scott will receives the same bonus plus an extra 25% of that because he is a man in the workplace.

Create a formula to figure out how much Miller will have to pay his two employees based on the number of hours they work.




5. Dutchie and Becca go to dinner.

Dutchie and Becca go to dinner at a restaurant Ray's where they have 2 all-you-can-eat-free coupons, and intend to put Ray's out of business.

a) Becca will eat three times the number of pork ribs that Dutchie eats as a challenge. If Dutchie had eaten another 104 ribs, he would have eaten 9 times the number of ribs that Becca ate.

How many ribs did Dutchie and Becca eat?




b) Dutchie drank four more cans of Sprite than Becca did. In total, they drank 54 cans of Sprite.

How many cans of Sprite did Becca drink?




c) The chocolate fudge cake at Ray's has four more pieces to it than the lemon-raspberry cheesecake. Dutchie and Becca order 6 lemon-raspberry cheesecakes and 13 chocolate fudge cakes. Altogether, they have 156 slices of cake.

How many slices are in one chocolate fudge cake?




d) Dutchie orders four more shrimp cocktails than Becca. If Becca had order 26 more shrimp cocktails, she would have gotten 3 times the number that Dutchie had ordered.

How many shrimp cocktails did Becca and Dutchie order?




e) The Ocean Supreme meal has 4 more oysters than the Ocean Platter meal. The Ocean Deluxe meal has 19 more oysters than the Ocean Platter meal. Dutchie and Becca order 7 Platters, 11 Supremes, and 17 Deluxes. In total they have 543 oysters.

How many oysters come in one Ocean Platter meal?




f) The owner of Ray's, Maggie kills the annoying couple ordering obscene amounts of food. Dutchie has 1.5 litres of blood more than Becca. When Maggie exsanguinates the bodies, she gets 11.5 litres of blood from them. How many litres of blood did Becca have?

..

Wouldn't it be awesome if we used maths in schools to talk about issues in real life? Yes it would, but unfortunately, students ask "when am I ever going to use this?" and they're right to ask that question. Mathematics is usually taught very poorly because students cram geometry, quadratic equations, probability, numeracy, statistics, algebra, and more without really being told when it's going to come up in the real world (I think English, and the Arts in general also suffers this pedagogical problem). "It'll all make sense when you're older" isn't just infuriating, it's condescending, it's insulting, and it has no place in a classroom. If you're teaching something, you need to remember that you're not teaching kids. You're teaching kids how to be adults, and it needs to make sense now.

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