Performance Stations in Math
Algebra
Grade 7
by
Liliane Gauthier
Teacher / Educational Consultant
Saskatoon Board of Education

 
1. Algebra
Grade 7
A-2, A-3, A-4, N-36

   Materials:
  dice
  calculator
 
1.a)Roll the dice and multiply the two numbers.
 b)Replace the variable in the following expression with the product that you get.

2n + 9 =
 c)Roll again and evaluate the expression by using this new number.
 d)Evaluate 2n - 9 when n=0 and when n=1
2.a)Repeat the above procedure for each of the following.
 b)Roll and multiply the two numbers in order to get a value for the variable.
 c)Evaluate the following expression.
  i) 3v - 2 =     ii) 4m - 3m + 6 =
  iii) 2(l + w) =  iv) xy + 2x + 3y =
3.Use the calculator to evaluate these expressions:
 a)
 b)
4.We write 3 x n as 3n so is it correct to write 3 x 2 as 32? Explain your answer.
5.In your own words explain what an expression is. In your explanation use the words variable and constant.
 

 
2. Algebra
Grade 7
A-5b

   Materials:
  paper
  ruler
 
Make a tournament schedule to show how many games the champion will play if there are 8 teams competing in a single elimination tournament. 		 

 
3. Algebra
Grade 7
A-7a

   Materials:
  cubes
 
A rectangular prism 2 x 3 x 4 of white cubes is painted blue on the outside surface area. It is then cut up into 24 equal sized cubes.
1.How many of the cubes have:
 a.exactly one face painted blue?
 b.exactly two faces painted blue?
 c.exactly three faces painted blue?
 d.exactly four faces painted blue?
 e.have all faces white?
 

 
4. Algebra
Grade 7
A-6, A-7b

   Materials:
  cubes
 
1.Use cubes to copy and extend each model up to the fifth one in the series.
2.Develop a chart to record and reveal number patterns.
3.Explain how the pattern grows.
4.Write an open number expression to show your pattern.
 

 
5. Algebra
Grade 7
A-8

   Materials:
  calculator
  algetiles
 
1.Give step by step instructions on how to solve the following equation by comparing it to using algetiles on a balance scale.
2.Kim says:

"There, I'm finished and handed in the following quiz. It sure didn't take very long to do those four questions."

Kim worked a little too quickly and made little errors in each one. Find the errors and explain why they are errors.
 a)3x + 1 = 36
3x = 36
x = 12
 b)4y - 2 = 14
4y = 12
y = 48
 c) = 16
a = 8
 d)4a - 3 = 33
4a = 36
a = 8
 Write a sentence or two to give Kim some advice about writing quizzes.
3.Dan says that he has been doing "algebra" since grade one because he used to calculate 2 += 6. Now he is simply replacing the box by a letter to indicate a number. Do you agree or disagree? Explain your thinking.


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