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# Principles Of Mathematics – Grade 9

This course enables students to develop an understanding of mathematical concepts 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.

From: \$500.00

SKU: MPM1D Category: Tags: , , ### Overall Curriculum Expectations

By the end of this course, students will be:

Number Sense and Algebra

By the end of this course the student will:

• 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 Relations

By the end of this course the student will:

• 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.

Analytic Geometry

By the end of this course the student will:

• Determine the relationship between the form of an equation and the shape of its graph with respect to linearity and non-linearity.
• Determine, through investigation, the properties of the slope and y-intercept of a linear relation.
• Solve problems involving linear relations.

Measurement and Geometry

By the end of this course the student will:

• Determine, through investigation, the optimal values of various measurements.
• Solve problems involving the measurements of two-dimensional shapes and the surface areas and volumes of three-dimensional figures.
• Verify, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems.

### Course Details

 Course Code ENG1D Course Type Academic Format Online School Course Prerequisite None Tuition Fee 650 – 1300 Department Mathematics Course Title Principles of Mathematics Grade Grade 9 Credit Value 1.0

### Outline of Course Content

 Unit Title Time 1 Mathematical Processes 10 hours 2 Relations 12 hours 3 Polynomials 14 hours 4 Equations 10 hours 5 Modelling With Graphs 12 hours 5 Analyse Linear Relations 14 hours 5 Geometric Relationships 11 hours 5 Measurement Relationships 14 hours 5 Optimizing Measurements 11 hours Final Examination 2 hours Total 110 hours

### Course Details

 Course Code ENG1D Course Type Academic Format Online School Course Prerequisite None Tuition Fee 650 – 1300 Department Mathematics Course Title Principles of Mathematics Grade Grade 9 Credit Value 1.0

### Overall Curriculum Expectations

By the end of this course, students will be:

Number Sense and Algebra

By the end of this course the student will:

• 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 Relations

By the end of this course the student will:

• 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.

Analytic Geometry

By the end of this course the student will:

• Determine the relationship between the form of an equation and the shape of its graph with respect to linearity and non-linearity.
• Determine, through investigation, the properties of the slope and y-intercept of a linear relation.
• Solve problems involving linear relations.

Measurement and Geometry

By the end of this course the student will:

• Determine, through investigation, the optimal values of various measurements.
• Solve problems involving the measurements of two-dimensional shapes and the surface areas and volumes of three-dimensional figures.
• Verify, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems.

### Outline of Course Content

 Unit Title Time 1 Mathematical Processes 10 hours 2 Relations 12 hours 3 Polynomials 14 hours 4 Equations 10 hours 5 Modelling With Graphs 12 hours 5 Analyse Linear Relations 14 hours 5 Geometric Relationships 11 hours 5 Measurement Relationships 14 hours 5 Optimizing Measurements 11 hours Final Examination 2 hours Total 110 hours
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