MENU
- About the MPT
- Session 1, Thursday October 10, 2024, 7:30-9:00 pm (via Zoom)
- Session 2, Thursday October 17, 2024, 7:30-9:00 pm (via Zoom)
- Session 3, Thursday October 24, 2024, 7:30-9:00 pm (via Zoom)
- Session 4, Practicum 2024, More Grades 6 and 9 EQAO tests and solutions
- Session 5, January-February 2025, Coding puzzle extensions to EQAO questions
- Session 6, Pedagogy Component
About the MPT
To the best of our knowledge, EQAO is tasked with writing the MPT.
The mathematics content component of the MPT is designed to assess the applicant’s understanding of the fundamental knowledge and skills of three mathematics content dimensions that encompass a wide range of learning expectations from Grade 3 to Grade 9 in the mathematics section of The Ontario Curriculum: Number sense, relationships and proportional reasoning, and measurement.
See details at https://mathproficiencytest.ca/#/en/applicant/explore/about:whats_on
Session 1: Thursday October 10, 7:30-9:00 pm
Session 1 will focus on questions dealing with Linear Relationships from the Sample Grade 9 EQAO Test, which is available at https://dwod99k06nyqh.cloudfront.net/#/en/test-auth/g9-sample/340/adaptive
We’ve also made it available as a PDF.
We are focusing on EQAO questions as EQAO will write the MPT.
Practice Questions
- Work through the 6 questions listed below from Sample Grade 9 EQAO Test (as best as you can). These questions are highlighted in yellow in the PDF.
- Stage 1: Questions 1, 4 & 14
- Stage 2: Questions 1, 2 & 7
- All 6 questions deal with Linear Relationships
Solutions
- a full solution set for the 6 questions above, plus a Scratch program that model linear relationships;
Session 2: Thursday October 17, 7:30-9:00 pm
Session 2 will focus on solutions to 2 new sets of EQAO Linear Relationships questions.
- 2018 sample questions – try these then see the solutions below
- 2019 sample questions – try these then see the hints below
In the Session 2 we will:
- Solve the 2019 sample questions
- Discuss any questions you have about the 2018 sample questions
A zoom link will be sent to you on Tuesday October 15.
Session 3: Thursday October 24, 7:30-9:00 pm
Session 2 will focus on a complete Practice Test for the Grade 9 EQAO Assessment.
- Solutions to Practice Test
- Interactive circle theorems (using Geogebra)
SESSION 4: More Grades 6 & 9 SAMPLe tests
At the link below you will find 10 grade 6 and 10 grade 9 EQAO tests. We will be posting solutions sets as we complete them (some have already been completed and posted).
https://drive.google.com/drive/folders/12hjLjBoC3Lzj4pcTVuZsxaMUdXWwZUbr?usp=sharing
Session 5: Coding puzzle extensions to EQAO TOPICS
NUMBER PATTERNS
Coding Puzzle 1: Number patterns (Scratch)
Go to https://scratch.mit.edu/projects/453644929/editor
Run the code. You should get the list of numbers shown below.

1. Edit the code to get each of the following:

2. Edit the code to list the odd numbers 1-19 in reverse order: 19, 17, 15, 13, 11, 9, 7, 5, 3, 1.
Coding Puzzle 2: Number sums (Scratch)

- Go to https://scratch.mit.edu/projects/457027214/editor
- Run the code. You should get the lists of numbers and sums shown on the right.
- Edit the code to list and find the sum of numbers 10, 20, 30, and 40. Can you predict their sum?
- Edit the code to list and find the sum of numbers 100, 200, 300, and 400. Can you predict their sum?
- Edit the code to list and find the sum of numbers 11, 22, 33, and 44. Can you predict their sum?
- Edit the code to list and find the sum of numbers 111, 222, 333, and 444. Can you predict their sum?
Coding Puzzle 3: Number patterns (Python)
EVEN NUMBERS

- Go to cscircles.cemc.uwaterloo.ca/console and enter and run the code below. It will list the first 5 even numbers.

- Edit the code to list the first 10 even numbers.
- Edit the code to list the even numbers 6 to 20.
ODD NUMBERS
- Edit the code to list:
- The first 5 odd numbers
- The odd numbers 11 to 25
NATURAL NUMBERS
- Edit the code to list:
- The first 10 natural numbers
- The natural numbers 10 to 20
Coding Puzzle 4: Number sums (Python)
NATURAL NUMBERS & THEIR SUMS
- Go to cscircles.cemc.uwaterloo.ca/console
- Enter and run the code below. It will list the first 4 natural numbers and their sums.

- Edit the code to find the sum of numbers 10, 20, 30, and 40. Can you predict their sum?
- Edit the code to find the sum of numbers 100, 200, 300, and 400. Can you predict their sum?
- Edit the code to find the sum of numbers 11, 22, 33, and 44. Can you predict their sum?
- Edit the code to find the sum of numbers 111, 222, 333, and 444. Can you predict their sum?
LINEAR RELATIONS
CODING PUZZLE 1: Growing Patterns (Scratch)
Run the code at https://scratch.mit.edu/projects/964727477/editor .
You will see the list of numbers shown below.

This code represents the pattern shown below.

How would you edit the code to create each of the flowing lists of numbers?

Edit and run the code to test your predictions.
CODING PUZZLE 2: Growing Patterns (Python)

Go to https://cscircles.cemc.uwaterloo.ca/console .
Enter and run the code below.

You will see the list of numbers shown on the right.
This code represents the pattern shown below.

How would you edit the code to create each of the flowing lists of numbers?

Edit and run the code to test your predictions.
CODING PUZZLE 3: Plotting linear relations (Scratch)
Go to https://scratch.mit.edu/projects/556330557/editor to see and run the code below.

Alter the code to create each of the plots below.

Coding simulation and game #1: Linear relations
See https://imaginethis.ca/mathncode/games-sims.html

Coding simulation and game #4: Linear relations
See https://imaginethis.ca/mathncode/games-sims.html

Probability
Probability with dice
See https://imaginethis.ca/mathncode/games-sims.html

Various games
https://imaginethis.ca/apps/number/pattern

Session 6: Pedagogy Component
What to study
- Growing Success: Assessment, Evaluation, and Reporting in Ontario Schools—First Edition, Covering Grades 1 to 12 (2010)
- Learning for All: A Guide to Effective Assessment and Instruction for All Students, Kindergarten to Grade 12 (2013)
- The Ontario Curriculum Grades 1-8: Mathematics Curriculum Context (2020)
- The Ontario Curriculum, Grade 9: Mathematics (2021)—Introduction, Elements of the Grade 9 Mathematics Course, Some Considerations for Program Planning, and Assessment and Evaluation of Student Achievement
Practice test
- Try the 22 questions from the EQAO sample test on pages 1-3 of this PDF.
- Check you solutions on pages 4-6 of the PDF.
How to study
Study with a peer or group of peers.
Cut out the 22 questions and solutions on this PDF.
- Glue matching ones back to back.
- Play a Q&A game with a peer or group of peers.
Study the 4 documents above.
- Identify key ideas and write a question and answer for each.
- Play a Q&A game with a peer or group of peers.