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Self-Assessment for Grade 9 Essentials Math (MAT1L)
Self-Assessment for Grade 9 Essentials Math (MAT1L)

Students who are registered for Grade 9 Essentials Math (MAT1L) may benefit from a self evaluation and review of the followingexpectations from elementary school math.  


The questions in this self-assessment reflect some of the key ideas learned in prerequisite courses.  They do not represent the problem solving approach or the rich experience that students would be exposed to in a classroom.  The intention is for students to revisit some key concepts and, if needed, access review materials in an informal environment at a pace that is comfortable for the student.



Concept(s)

Sample Question​​

How comfortable do you feel with this concept?

Link(s) to explore concept further

I can order whole numbers and decimal numbers


I can order fractional amounts with unlike denominators, including proper and improper fractions and mixed numbers

1. Write the following numbers in order from least to greatest:


  1. 30     0.04     0.2     1.95     0.15


  1. 8 tenths, eight hundredths, 8 and 8 hundredths, and 8 


  1. Five fourths, three fourths, three halves, five halves and 2 and one fourth 

Very comfortable, somewhat comfortable, or not at all comfortable 

       


Comparing Decimals


Ordering Decimals


Different Denominators


Comparing Fractions


Mixed Numbers and Improper Fractions

I can print whole numbers in words

2. In 2019, there were 41, 205 secondary students in York Region District School Board.  Write out this number in words.  

Very comfortable, somewhat comfortable, or not at all comfortable 

Writing Numbers in Words

I can estimate quantities using benchmarks of 10%, 25%, 50%, 75%, and 100%

3. A student is walking from home to school.  If the student gets to the park, what percent of the distance has the student covered?

A picture of a line segment with a beginning marking, 3 middle markings and an end marking.  Each segment bordered by the markings is equal in length.  Home is marked at the beginning of the line segment, School is marked at the end of the segment and Park is marked on the third of the middle markings. 

Very comfortable, somewhat comfortable, or not at all comfortable 

Meaning of Percent

I can solve problems that arise from real-life situations

4. How many seconds are there in a day?  

Very comfortable, somewhat comfortable, or not at all comfortable 

How Many Seconds Are There In One Day?

I can add and subtract decimal numbers


I can multiply decimal numbers by whole numbers


I can divide decimal numbers by whole numbers

5. Evaluate:

  1. 9.43 plus 2.6 


  1. 3 times 0.2 


  1. 6.5 divided by 5 

Very comfortable, somewhat comfortable, or not at all comfortable 

Adding decimals with ones, tenths and hundredths


Introduction to multiplying decimals


Dividing a decimal by a whole number

I can represent ratios found in real-life contexts

6. A coin was flipped 20 times.  Heads came up 8 times.  What is the ratio of number of heads to number of tails?  

Very comfortable, somewhat comfortable, or not at all comfortable 

Introduction to ratios | Ratios, proportions, units, and rates

I can represent relationships using unit rates

7. Four markers cost $5.16.  How much does one marker cost?

Very comfortable, somewhat comfortable, or not at all comfortable 

Solving unit rates problem | Ratios, proportions, units, and rates

I can solve problems requiring conversion from larger to smaller metric units

8. A rug is 2.5 metres wide.  How many centimetres wide is it? 

Very comfortable, somewhat comfortable, or not at all comfortable 

Metric system: units of distance


Solutions to sample​ questions


1. Write the following numbers in order from least to greatest:


a.  30     0.04     0.2     1.95     0.15


One way to sort these numbers is to start by writing them all with two digits after the decimal place.  


30.00     0.04     0.20     1.95     0.15


Then we look at the place values to help us sort.  


0.04     0.15     0.20     1.95     30.00


So the original list sorted is 


0.04     0.15     0.2     1.95     30



b.  8 tenths, eight hundredths, 8 and 8 hundredths, and 8




One way to sort these numbers is to start by writing them all with two digits after the decimal place.  


0.80          0.08        8.08          8.00


Then we look at the place values to help us sort.  


0.08     0.80     8.00     8.08


So the original list sorted is 


0.08     0.8     8    8.08




C. Five fourths, three fourths, three halves, five halves and 2 and one fourth



One way to sort this list is to write all of the fractions with the same denominator.  Note that


2 and 1 fourth is the same as 2 plus one fourth which is the same as 8 fourths plus 1 fourth or nine fourths 


5 fourths then 3 fourths then 6 fourths then 10 fourths then 9 fourths 



We can now sort this list


3 fourths then 5 fourths then 6 fourths then 9 fourths then 10 fourths 



So the original list in sorted order is 



3 fourths then 5 fourths then 3 halves then 2 and 1 fourth then 5 halves 




2. In 2019, there were 41, 205 secondary students in York Region District School Board.  Write out this number in words.  


There were forty one thousand two hundred and five secondary students in YRDSB.  




3. A student is walking from home to school.  If the student gets to the park, what percent of the distance has the student covered?

A picture of a line segment with a beginning marking, 3 middle markings and an end marking.  Each segment bordered by the markings is equal in length.  Home is marked at the beginning of the line segment, School is marked at the end of the segment and Park is marked on the third of the middle markings. 


Since the student has walked 3 of the 4 parts and we know that three fourths is 75%, the student has covered 75% of the distance.  




4. How many seconds are there in a day?  


There are 60 seconds in 1 minute and 60 minutes in an hour.  There are 24 hours in a day.  So the number of seconds in a day is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>60</mn><mo>&#xD7;</mo><mn>60</mn><mo>&#xD7;</mo><mn>24</mn><mo>=</mo><mn>86</mn><mo>&#xA0;</mo><mn>400</mn></math> seconds in a day.  


5. Evaluate:

  1. 9.43 plus 2.6 

9.43 plus 2.6 equals 9.43 plus 2.60 equals 12.03 


  1. 3 times 0.2 

3  times 0.2 equals 0.6 


  1. 6.5 divided by 5 

6.5 divided by 5 equals 65 divided by 50
65 fiftieths equals 13 tenths
13 tenths equals 1.3 



6. A coin was flipped 20 times.  Heads came up 8 times.  What is the ratio of number of heads to number of tails?  


If there were 8 heads, then there were 12 tails.  The ratio is 8:12 or 2:3.  



7. Four markers cost $5.16.  How much does one marker cost?  


<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo>.</mo><mn>16</mn><mo>&#xF7;</mo><mn>4</mn><mo>=</mo><mn>1</mn><mo>.</mo><mn>29</mn></math>.  Each marker costs $1.29



8. A rug is 2.5 metres wide.  How many centimetres wide is it?  


1 metre is 100 centimetres so 2 meters is 200 centimetres.  Half a metre is 50 centimetres.  So 2.5 metres is 250 centimetres. 

 
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