UoIT POST Math Diagnostic Nov.2012
P/J Mathematics Diagnostic (Post-Test) Your Research Code (10 digits): 1 (Birth Month)
(Birth Day)
9 (Birth Year)
(Last 2 digits of phone #)
If you would like to know your results, please provide a non-UOIT email address:
For each question, rate your Confidence that you have the correct solution. Use a rating scale from 1 to 10, where: 1 = Not at all Confident
and
10 = Very Confident
1. This week Petro Canada is selling gas for 123.2¢ per litre and Esso is selling gas for 123.9¢ per litre. If you stop at Petro Canada, how much will you save on 10 litres of gas? a) b) c) d)
$7 7¢ $0.70 70¢
Show your thinking.
Confidence Rating:
Page 1 of 8
a) b) c) d)
Thousandths
Hundredths
Tenths
Ones
Tens
Hundreds
Thousands
2. What number is modeled in the place value chart below?
2450.1113 2451.113 2450.113 24 5011.113
Explain your thinking.
Confidence Rating:
3. Melissa believes it is important to vary the whole when she teaches fractions. One day, she used two square pizzas as the whole. What fraction of the two pizzas is shaded?
a) 1 b) c) d)
Confidence Rating: Page 2 of 8
4. The length of a rectangular rug is 2.5 m. If the area of the rug is 5 m2, what is the width of the rug? a) b) c) d)
2.0 m 2.5 m 0.5 m 7.5 m
Show your thinking.
Confidence Rating:
You’re doing amazing!!
5. Which decimal is greatest? a) b) c) d)
1.209 1.040 1.4 1.08
Explain your thinking.
Confidence Rating:
Page 3 of 8
6. During placement, students were reviewing strategies for adding multi-digit numbers. Two students show their work: Carolina
Stephanie 208 + 136
35 + 125 10 50 + 100 160
200 + 100 = 300 300 + 10 = 310 310 + 10 = 320 320 + 10 = 330 330 + 6 = 336 336 + 4 = 340 340 + 4 = 344
Will the students’ strategies work for ANY whole number? Indicate “Would work” OR “Would NOT work” for EACH student. Would work for all whole numbers
Would NOT work for all whole numbers
Carolina Stephanie
Explain your reasoning.
Confidence Rating:
Page 4 of 8
7. Sarah’s Grade 4 class is decomposing numbers. She asks them to decompose 432. Which student solutions should she accept as correct? (Indicate: Correct, Incorrect, or I’m not sure for each choice.) Correct
Incorrect
4 hundreds + 30 tens + 2 one 3 hundreds + 13 tens + 2 tenths 4 hundreds + 3 tens + 1 one + 10 tenths
Show your thinking.
Confidence Rating:
8. If the ratio of girls to boys in your class is 2:3, what fraction of the class are boys? a)
b)
c)
d)
Show your thinking.
Confidence Rating:
Page 5 of 8
9. Tracey and Laura were grading an EQAO practice test. One question on the test asked: Write the decimals in order from greatest to least: .3 .24 0.7 .09 .346 What should Tracey and Laura accept as correct? a) 0.7
.346
.3
.24
.09
b) .346
.24
.09
0.7
.3
c) .09
0.7
.346
.3
.24
d) .346
.24
.3
.09
0.7
Show your thinking.
Confidence Rating:
10. Jennifer asked her students to write a formula for the perimeter of a rectangle. She was surprised by the variations in student answers. Which answer should she NOT accept as correct? a) P = 2lw b) P = 2w + 2l c) P = 2(l + w) d)
P=l+w+l+w
Show your thinking.
Confidence Rating: Page 6 of 8
11. The Count loves to use Geoboards to explore area and perimeter. He knows that the distance between each peg on the Geoboard is one unit. He created a shape on the Geoboard has a perimeter of 12 units and an area of 6 units2. Draw two more shapes on the Geoboard that have the same perimeter but a different area than the shape created by The Count 1 unit2 (area)
1 unit (linear)
4, 4, 4 More Questions to go!
Confidence Rating:
12. You purchase a 2.5 kg box of clay for your JK class. How many grams of clay will each student receive if it is shared equally among the 10 students? a) b) c) d)
0.25 g 25 g 2500 g 250 g
Show your thinking.
Confidence Rating:
Page 7 of 8
13. Aarthy is exploring fractions with her Grade 6 class. She presents the following problem to her students. What should she accept as correct?
If
represent
of the whole, how would you represent
a)
c)
b)
d)
?
Show your thinking.
Confidence Rating:
14. You’re asked to introduce operations with decimals to your students. You begin with the example: 2 x 0.4. What might you show or say to your students? Consider using pictures, numbers and words.
Confidence Rating:
Compared to August, how do feel right now? What is your “Overall” Confidence Rating: Page 8 of 8
(Birth Day)
9 (Birth Year)
(Last 2 digits of phone #)
If you would like to know your results, please provide a non-UOIT email address:
For each question, rate your Confidence that you have the correct solution. Use a rating scale from 1 to 10, where: 1 = Not at all Confident
and
10 = Very Confident
1. This week Petro Canada is selling gas for 123.2¢ per litre and Esso is selling gas for 123.9¢ per litre. If you stop at Petro Canada, how much will you save on 10 litres of gas? a) b) c) d)
$7 7¢ $0.70 70¢
Show your thinking.
Confidence Rating:
Page 1 of 8
a) b) c) d)
Thousandths
Hundredths
Tenths
Ones
Tens
Hundreds
Thousands
2. What number is modeled in the place value chart below?
2450.1113 2451.113 2450.113 24 5011.113
Explain your thinking.
Confidence Rating:
3. Melissa believes it is important to vary the whole when she teaches fractions. One day, she used two square pizzas as the whole. What fraction of the two pizzas is shaded?
a) 1 b) c) d)
Confidence Rating: Page 2 of 8
4. The length of a rectangular rug is 2.5 m. If the area of the rug is 5 m2, what is the width of the rug? a) b) c) d)
2.0 m 2.5 m 0.5 m 7.5 m
Show your thinking.
Confidence Rating:
You’re doing amazing!!
5. Which decimal is greatest? a) b) c) d)
1.209 1.040 1.4 1.08
Explain your thinking.
Confidence Rating:
Page 3 of 8
6. During placement, students were reviewing strategies for adding multi-digit numbers. Two students show their work: Carolina
Stephanie 208 + 136
35 + 125 10 50 + 100 160
200 + 100 = 300 300 + 10 = 310 310 + 10 = 320 320 + 10 = 330 330 + 6 = 336 336 + 4 = 340 340 + 4 = 344
Will the students’ strategies work for ANY whole number? Indicate “Would work” OR “Would NOT work” for EACH student. Would work for all whole numbers
Would NOT work for all whole numbers
Carolina Stephanie
Explain your reasoning.
Confidence Rating:
Page 4 of 8
7. Sarah’s Grade 4 class is decomposing numbers. She asks them to decompose 432. Which student solutions should she accept as correct? (Indicate: Correct, Incorrect, or I’m not sure for each choice.) Correct
Incorrect
4 hundreds + 30 tens + 2 one 3 hundreds + 13 tens + 2 tenths 4 hundreds + 3 tens + 1 one + 10 tenths
Show your thinking.
Confidence Rating:
8. If the ratio of girls to boys in your class is 2:3, what fraction of the class are boys? a)
b)
c)
d)
Show your thinking.
Confidence Rating:
Page 5 of 8
9. Tracey and Laura were grading an EQAO practice test. One question on the test asked: Write the decimals in order from greatest to least: .3 .24 0.7 .09 .346 What should Tracey and Laura accept as correct? a) 0.7
.346
.3
.24
.09
b) .346
.24
.09
0.7
.3
c) .09
0.7
.346
.3
.24
d) .346
.24
.3
.09
0.7
Show your thinking.
Confidence Rating:
10. Jennifer asked her students to write a formula for the perimeter of a rectangle. She was surprised by the variations in student answers. Which answer should she NOT accept as correct? a) P = 2lw b) P = 2w + 2l c) P = 2(l + w) d)
P=l+w+l+w
Show your thinking.
Confidence Rating: Page 6 of 8
11. The Count loves to use Geoboards to explore area and perimeter. He knows that the distance between each peg on the Geoboard is one unit. He created a shape on the Geoboard has a perimeter of 12 units and an area of 6 units2. Draw two more shapes on the Geoboard that have the same perimeter but a different area than the shape created by The Count 1 unit2 (area)
1 unit (linear)
4, 4, 4 More Questions to go!
Confidence Rating:
12. You purchase a 2.5 kg box of clay for your JK class. How many grams of clay will each student receive if it is shared equally among the 10 students? a) b) c) d)
0.25 g 25 g 2500 g 250 g
Show your thinking.
Confidence Rating:
Page 7 of 8
13. Aarthy is exploring fractions with her Grade 6 class. She presents the following problem to her students. What should she accept as correct?
If
represent
of the whole, how would you represent
a)
c)
b)
d)
?
Show your thinking.
Confidence Rating:
14. You’re asked to introduce operations with decimals to your students. You begin with the example: 2 x 0.4. What might you show or say to your students? Consider using pictures, numbers and words.
Confidence Rating:
Compared to August, how do feel right now? What is your “Overall” Confidence Rating: Page 8 of 8
