Jaya - Math tutor - Montreal
Jaya - Math tutor - Montreal

Jaya profile and its contact details have been verified by our team.

Jaya

  • Rate $15
  • Response 1h
Jaya - Math tutor - Montreal

$15/h

More Math tutors

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  • Math
  • Algebra
  • Physics
  • Trigonometry
  • Geometry

Graduate of Mechanical and Aerospace Engineering that gives personalized math and phsysics lessons from home that helps you overcome everything.

  • Math
  • Algebra
  • Physics
  • Trigonometry
  • Geometry

Lesson location

    • At Jaya's house: Montreal

    • at home or in a public place : will travel up to 10 km from Montreal

About Jaya

Being a millenial, I fully understand the struggles of studying and feeling overwhelmed, however I am here to reassure you that difficult topics can be ok, that I will be here to break it down in ways for you to understand.

Using diagrams, examples, or time to fully understand the basics before tackling complex problems.

I hope that the learning experience is as fun for you as it is for me because with learning, we truly interact with the world with a better vision and purpose.

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About the lesson

  • Elementary School
  • Middle School
  • High School
  • +6
  • levels :

    Elementary School

    Middle School

    High School

    College

    University

    Adult Education

    Masters/ Graduate School

    MBA

    Early childhood education

  • English

All languages in which the lesson is available :

English

Each student is unique in the way they study. Firstly the student will be asked what they're having difficulty in, what topics, and what they've done. Basics are the most important, especially in Maths and Physics, so we will review to make sure that the basics are known before tackling the more difficult topics.

For example a lesson plan:
Students will construct an experiment to test the Archimedes Principle using household materials in order to understand buouyancy force, displacement and density and the effects of buoyancy. (Materials and design will be determined by age/grade of the students)

Testing:
Each student should be able to describe their experiment and how density affects the buoyancy, and analyze data to be able to draw conclusions from that data.

Materials:
Be creative, you can choose what is available to you and should be limited to a budget. Materials usually used:

- Soda cans (Diet and regular version)
- Large container (glass)
- Paper towels
- Pennies
- paper boats
- ruler
- scale (measure in grams)
- variety of materials steel, cardboards, plastic, styrofoam (cut to the same size)
- oil
- irregular shapes of the same material of the other objects used.
- a granulated cylinder


Procedures:

Review fractions and how to calculate the volume of cubes, spheres and cylinders.

Engagement -by displaying the displacement of the soda cans of the same weight in the same amount of water. and showing that the amount is different for either one.

Exploration: the phase where students design and set up their own experiments to measure the displacement of the different objects, including the known shapes and the irregular shapes.

Then design different weight and shapes of boats and measure the amount of water displaced.

Explanation of the experiments:
1. What did you observe when I submerged the soda cans?
The water level rose, it is a visual example of water displacement. (Discuss what displacement is). All matter takes up space, if an object is placed in water, it causes the water to move out of the way. The amount of water that moves is called displacement.
2. What happens when the objects are placed?
If a light container is placed, it floats but if heavier objects are placed in it, it floats lower. (The mass of the object is increased but not the volume)
3. How can we predict the amount of water displaced?
Using the mass of the object being placed in the water along with the density, one can calculate the volume, and thus calculate the mass of water displaced if placed in it by multiplying the volume found with the density of water.
4. How does this relate to real world engineering?
The mass of water displace can be used to calculate the maximum buoyant force of the object, thus with the same volume and material, the object can carry a load as much as the buoyant force before sinking. This helps to create an understanding of the maximum load a ship can hold and which is why ships sink when taking on water as the weight of the ship considerably increases.

Reflection:
Have the student explain in their own words what the Archimedes Principle does and how it affects read world problems.

This lesson plan is for the average high schooler but can be toned down for a middle schooler. The university concept is much more complicated to show in this dialog box and would include more problems than experiments.

I hope to demonstrate practically concepts that are hard to understand and also the maths or physics relating to them.

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Rates

Rate

  • $15

Pack rates

  • 5 h: $75
  • 10 h: $150

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