gr7

gr7

Monday 5 January 2015

Jan 5 2015


Task 1

Create a short 2-3 minute video that shows any math concept in a real-world context.  Where do we see it and use it in our daily lives?

Your videos will be strung together and showcased on our school's foyer television.  Upload them as well to our class YouTube channel.  

Your math concept of choice can come from any of these strands: numeracy, measurement, data management, patterning, or geometry.  


MATH IS EVERYWHERE
Brainstorm Format
Strand:     Numeracy

Specific Concept:     Integers

Real-life example:     Differences in Temperature

Proof:    CP24 5-day weather forecast changes

Video:     Use channel as real-life example to explain daily increases/decreases in temperature with positive/negative integers.

For example: 
https://www.youtube.com/watch?v=IWP1Af3gKtU&list=UU-u4mR3_H1MzpKNHdtbrnbA



Task 2 (complete your handout)


http://www.math-only-math.com/images/integers-on-the-number-line.jpg
In a real-life context, negative integers include: expenses, losses, debt, money owing, debits to bank account, bills, charges, fees, payments, overall spending, credit card purchases.

In a real-life context, positive integers include: income, revenue, earnings, wages, salary, profit, credits to bank account, dividends from stock, paying off credit card purchases.

Take the following information below and express it as either a negative or positive integer.  
Calculate the difference between them to determine how much money John has left over.

John opens a new RBC bank account with $1 000

1 week later:

His account receives a direct deposit of $325 from his part-time at Future Shop.

He deposits some birthday cash gifts of $50, $80 and $100.

RBC charges his account a monthly service fee of $12

He paid off a credit card bill of $175

He incurs the following expenses by using a combination of cash, personal cheque, debit Interac card, and PayPal electronic transfers from his chequing account:
·         Tim Horton’s $4.50
·         Shell Gas Station $45.50
·         Car Wash $9.00
·         Mechanic oil change $36
·         Rogers Cell Phone monthly bill $80
·         Metro Groceries $85
·         H&M Clothing $225
·         Foot Locker Shoes $120
·         Hair Cut $22
·         Dry Cleaners $45
·         Canada Post stamps $7
·         Basement apartment rent $700
·         TV/Internet monthly bundle $110
·         Netflix $8
·         Online ebay & amazon shopping $155
·         Walmart $35

Positive Integers +
Negative Integers -















































Total +Positive integers:

Total -Negative integers:

Difference between + and – integers:

How much $ does John have?

Is he in the black (positive/making money) or in the red (negative/owing money)?


Task 3

Michelle is looking to buy a new BMW 3-series.  This car is available as a 4-door Sedan, 2-door CoupĂ©, Cabriolet, and Sportwagon.  Two engines are available for each model: a 2.0L Turbo 4-cylinder or a 3.0L 6-cylinder.  Two transmissions are available for each model: 6-speed Manual or dual-clutch Automatic.  Three body colors are available for each model: rally Blue, speed Red or pearl White.

Design a landscaped tree diagram to show all the possible combinations for the new BMW 3-series Michelle plans to buy using the information above about Body Style, Engine, Transmission, and Color choices.

Use your tree diagram to answer the following:
-what are the total possible car combinations Michelle can choose from?
-what is the probability that Michelle will buy a red car? (fraction, %)
-what is the probability that Michelle will buy a red car with a manual transmission? (fraction, %)
-what is the probability that Michelle will buy a red car with a manual transmission and a 6-cylinder engine? (fraction, %)
-what is the probability that Michelle will buy a coupé with an automatic transmission? (fraction, %)
-what is the probability she will buy a white cabriolet with a 4–cylinder engine in pearl white? (fraction, %)