## Course Overview

**Principle of Mathematics, Grade 9 MPM1D**

This course enables students to develop an understanding of principle of mathematics related to algebra, analytic geometry, and measurement and geometry through investigation, the effective use of technology, and abstract reasoning. Students will investigate relationships, which they will then generalize as equations of lines, and will determine the connections between different representations of a linear relation. They will also explore relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. Students will reason mathematically and communicate their thinking as they solve multi-step problems. Students will reason mathematically and communicate their thinking as they solve multi-step problems. Ontario curriculum for MPM1D will be followed. It can be customized to your requirements for global students.

**Overall Expectations**

By the end of this course, students will:

**Number Sense and Algebra**

• demonstrate an understanding of the exponent rules of multiplication and division, and apply them to simplify expressions;

• manipulate numerical and polynomial expressions, and solve first-degree equations

**Linear and Non-Linear Relations**

• apply data-management techniques to investigate relationships between two variables;

• demonstrate an understanding of the characteristics of a linear relation;

• connect various representations of a linear relation

**Geometric Relationships**

• angle relationships in parallel line and polygons

• Midpoints in triangles and quadrilaterals

• solve problems involving surface area and volume for composite shapes

Optimization real life examples

Solved Test Papers Shared for Extra Practice

**Ontario Curriculum:** http://www.edu.gov.on.ca/eng/curriculum/secondary/math910curr.pdf#page=47

**Pricing**

- Monthly cost of the course ‘Principle of Mathematics Grade 9 Academic’ is given for individual one-to-one sessions. There will be 8 classes per month. Flexible scheduled will be mutually discussed.
- Group classes are sometimes offered. You may check the website for
**Popular Group Math Programs**. - Fast Track program is available on request. We can prepare the students for an exam in limited time. You may fill the
**Registration Form**and discuss the possibilities.

**FAQs**

**Policy for Refund of Registration Fees.**

Students can drop in the first 30 minutes of the class and take the full refund. The class will then start after a break of 5 minutes for the next 30 minutes. No refund for the course will be given if the student continues to attend the first class beyond half-time.

**How do we teach and is it worth taking the course?**

You are the best person to answer this question. Internet is full of knowledge and there are many options open for you. Explore and then decide. We have provided links for few videos related to this course. They may help you to take a decision in our favour.

**Check the list of Sample Reference Videos to get an idea about our classes**

## Course Content

- Overall Expectations Copy
- Polynomial Expressions Copy
- Division with Monomial and Binomial Copy
- Division by Binomial and Trinomial Copy
- Algebraic Model and Application Copy
- Exponents and Exponent Laws Copy
- Add and Subtract Polynomials Copy
- Area Model Concept Copy
- Single Variable Linear Applications Copy
- Test Paper Simplify Polynomial Copy

- Overall Expectations Copy
- Collect, Organize and Interpret data Copy
- Test Question Data Analysis Copy
- Cartesian Coordinate System Copy
- Plot Line Graph for Water Level Copy
- Test Coordinate Planes Copy
- Height Trends Scatter Plot Copy
- Application Temperature Conversion Copy
- Counting Quarters with Mass Copy
- Linear and Non-Linear Relations Copy

- Overall Expectations Copy
- Direct Variation Copy
- Direct and Partial Variation Extended Copy
- Inverse Variation Concept and Test Copy
- SAT and GCSE Test Examples Copy
- Equation of Line in All Different Forms Copy
- Equation of Line in Slope Intercept Form Copy
- Graph Line in Standard Form Copy
- Graph Line in Different Forms Copy
- Graph a Line Using Intercepts Copy
- Parallel Lines Test Copy
- Find an Equation of Line from Graph Copy
- Find Equation of Line Give Two Points Copy
- Test Find Equation of Transformed Line Copy
- Pitch of Roof Application Copy
- Application Find Area Enclosed by Three Lines Copy
- Test Slopes or Gradients Copy

- Introduction Copy
- Angle Relationships in Triangle Copy
- Exterior Angle Sum Proof Copy
- Exterior Angle: Copy
- Characteristics of Quadrilaterals Copy
- Characteristics of Quadrilaterals -II Copy
- Venn Diagram Sort Quadrilaterals: Copy
- Rhombus and Kite Copy
- Angle Relationships in Quadrilaterals Copy
- Test Inscribed Polygon Angles Copy
- Angle Relationships in Polygon Copy
- Midpoint and Medians in Triangle Copy
- Midpoint, Segments Tangents Extended Copy
- Find Missing Vertex Copy