Performance Stations in Math
Numbers & Operations
Grade 9

by
Liliane Gauthier
Teacher / Educational Consultant
Saskatoon Board of Education


 
2. Numbers & Operations
Place Value: Grade 9

N-1, N-2

   Materials:
  blank cheques
  recycled envelopes
 
1.Mrs. Mercella Rodriguez won a lottery for $2.3 million dollars. As secretary for the lottery association you need to write her a cheque for that amount.
2.Mrs. Rodriguez decides this is too much for her so she gives her son Carlos $1 234 000.00. Write the cheque she made for her son.
3.Carlos is excited and wants to plan for his retirement. He uses half of the money to purchase RRSP's. Find the name of a company that sells RRSP's and write the cheque for Carlos.
4.Carlos uses half of what he has left after purchasing the RRSP's to purchase Mutual Funds. Find the name of a company that sells Mutual Funds and write the cheque for Carlos.
5.Mrs. Rodriguez's husband died of a heart attack last year. She donates $8 235.00 to the Heart and Stroke Foundation. Write the cheque for her.
6.Mrs. Rodriguez paid off her debts:
 Mortgage-$ 23 456.00
 Visa-$ 823.00
 Loan-$ 10 925.00
Write a cheque for the total amount of money she has left after all these payments, including those in numbers 1 to 6.
7.She places 50% of the remainder of her money in a term deposit at a bank. Choose the bank and write the cheque.
 

 
6. Numbers & Operations
Place Value: Grade 9

N-12, N-13
Real World Applications

   Materials:
 
1.Explain how to write 1 253 273 000 in scientific notation.
2.Why do we use scientific notation.
3.a)What is the maximum power of 3 that can be displayedon your calculator?
 b)Explain why your calculator cannot display beyond that power.
 c)What does your calculator display when is reaches it maximum number of digits.
 d)Why do we use scientific notation?
4.Find a scientific calculator. It should have one of the following keys:
Exp      E      EE
 a)Write the keystrokes to display 2 371 259 in scientific notation. Draw a diagram of the display on the screen.
 b)Use the calculator to do the following operations and give the keystrokes that you used.
   i)3.584 x 1013 x 2.3784 x 106
   ii)4 502 364 142 ÷ 1 299 134 300 (in scientific notation)
 

 
8. Numbers & Operations
Whole Numbers: Grade 9

N-19, N-37

   Materials:
  grid paper
  calculator
 
1.a)Use square tiles to form larger squares as a way to find the square roots of 25 and 16. Record on grid paper.
 b)Use the grid paper to show the square roots of 36, 49, 64 and 100.
2.Hannah used square tiles and grid paper to show that the square root of 42 is not a whole number. She made the largest square possible, using 36 of the 42 tiles, and traced a 6 x 6 square on grid paper. She then cut a strip of six squares to represent the six leftover tiles. She cut it and placed it on the grid as shown below

 a)Estimate from the diagram.
 b)Compare your estimate with the calculator result.
 c)Use Hannah's method to estimate the square roots of 56 and 103, and explain your solution.
 

 
12. Numbers & Operations
Whole Numbers: Grade 9

N-30

   Materials:
  paper
 
1.a)Take a sheet of paper and fold it in two. How many layers do you now have?.
 b)Fold the paper in half again. How many layers do you have this time?
 c)Make a chart to record your results.

2.Continue this process until you can no longer fold the paper. If it becomes difficult to count the layers you can open the paper and count the sections.
3.Explain how your results relate to exponents?
 

 
21. Numbers & Operations
Place Value: Grade 9

N-48

   Materials:
  calculator
 
1.Explain how you could use the memory keys for the following calculation:

(21.3 - 14.7) x (14.7 + 3.6)
2.Explain the keystrokes you could use to do the following on your calculator.

(5.1) x 106) x (2.34 x 10-2)
3.Lorie uses the following to find out if a calculator is scientific or not. Explain why this works.

2 + 3 x 6 ÷ 2 - 2
4.a)Show the two meanings of a negative number multiplied by 3 decreased by 6 by using symbols.
 b)Calculate the value in each case.
 c)How could you state the written statement so that the meaning is clear?
5.Place parentheses in the following equation to make it true.

4 + 5 x 3 - 8 = 9
 

 
26. Numbers & Operations
Decimals: Grade 9

N-80, N-81, N-82
N-84, N-85, N-88

   Materials:
  calculator
 
1.Suppose you have been given $40 000. You wish to invest it in the stock market.
 a)Look at the stock market report and choose the shares you wish to purchase. Carefully record in a chart.
 b)Follow the stock market activity for a month and calculate your daily balance. Did you make money in a month or did you lose. Write a report of your investment.


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