Sangster April 6 notes

2011 EQAO Math questions

https://drive.google.com/file/d/1ENubiahp88e9tZJaBsSHNw1F4F87-ur1/view?usp=sharing 

Try to do the first 6 multiple choice questions before the next class

􏰏 The table below shows the changes in the amount of snow on the ground over 10 days. 

Ali estimates that the total change is an increase of 30 cm.
Nadia estimates that the total change is an increase of 25 cm. 

Day	Change
1	15 cm new snow
2	7.5 cm new snow
3	no change
4	4.5 cm melted
5	3.5 cm melted
6	4 cm melted
7	no change
8	12 cm new snow
9	2.5 cm new snow
10	8 cm new snow

Which student makes a more accurate estimate? Circle one: Ali Nadia
Justify your answer. 

15 + 7.5 + 0 – 4.5 – 3.5 – 4 +0 + 12 + 2.5 + 8

= 33 cm by the end of Day 10

 

This is not what the question asks. If you leave the answer like this, you will get a C or 60%

 

Which student makes a more accurate estimate? Circle one: Ali Nadia

 

Ali is more accurate because his estimate is 33cm, which is only 3cm off (33 – 30 = 3) (justification)  the actual number (score B+ or 75%) 

 

Nadia is less accurate because her estimate is 25cm, which is 8cm off (33 – 25 = 8) the actual number. (you are comparing the results between the two students) (Score A or A+)

 

 

􏰑 Dakota and Bryan count their coloured paper clips and record the results in the table below. 

Colour	Dakota	Bryan
Red	14	18
Yellow	7	9
Blue	6	5
White	17	20

They put all of the paper clips in a box. Dakota chooses one paper clip from the box without looking. 

Determine the probability that Dakota chooses a red paper clip. Show your work. 

 

Step 1: Total paper clips for Dakota: 14 + 7+6+17 = 44

Total paper clips for Bryan 18 +9+ 5+ 20 = 52

 

Step 2: Determine the probability that Dakota chooses a red clip

She has 14 red clips

Total 44 clips all together

 

Probability to pick a red clip by Dakota 14/44 = 0.318 or 31.8%

Probability to pick a red clip by Bryan 18/52 = 0.346 or 34.6%

 

 

 

 

Probability basics: chances to win

 

Probability values range from 0% (impossible to win) to 100% (will win for sure)

0.0     (impossible to win) to 1.00 (will win for sure) 

- cannot have a probability value more than 1.00

- name an event that has a 50% chance of winning? (coin toss, 50% of getting a head, and a 50% chance of getting a tail)

- please DO NOT use words to describe probability (impossible, possible, likely, unlikely, certainty, probable)