Subject
Mathematics
Course description:
This course enables you to consolidate your understanding of linear relations and extend your problem-solving and algebraic skills through investigation, the effective use of technology, and hands-on activities. You will develop and graph equations in analytic geometry; solve and apply linear systems, using real-life examples; and explore and interpret graphs of quadratic relations. You will investigate similar triangles, the trigonometry of right triangles, and the measurement of three-dimensional figures. You will consolidate your mathematical skills as you solve problems and communicate your thinking.
Grade: 10
Type: Applied
Language of Study: English
Prerequisites:
MFM1P
or
MPM1D
or
MTH1W
Course description:
This course enables you to consolidate your understanding of linear relations and extend your problem-solving and algebraic skills through investigation, the effective use of technology, and hands-on activities. You will develop and graph equations in analytic geometry; solve and apply linear systems, using real-life examples; and explore and interpret graphs of quadratic relations. You will investigate similar triangles, the trigonometry of right triangles, and the measurement of three-dimensional figures. You will consolidate your mathematical skills as you solve problems and communicate your thinking.
Course Lessons
This course is designed for independent study.
TVO Learn supports families and educators with curriculum-aligned resources, some
of which are being upgraded for content and accessibility. Thank you for your patience.
TVO Learn supports families and educators with curriculum-aligned resources, some
of which are being upgraded for content and accessibility. Thank you for your patience.
This course is designed for independent study.
To review the lessons, please visit this page with a computer or tablet.
28 Lessons
8 Lessons
1.1
Exploring similar triangles
1.1
Exploring similar triangles
1.2
Problem solving using similar triangles
1.2
Problem solving using similar triangles
1.3
Connecting similar triangles to the primary trigonometric ratios
1.3
Connecting similar triangles to the primary trigonometric ratios
1.4
Using sine, cosine and tangent ratios to find sides and angles
1.4
Using sine, cosine and tangent ratios to find sides and angles
1.5
Using the primary trigonometric ratios to solve problems
1.5
Using the primary trigonometric ratios to solve problems
1.6
Using the imperial and metric systems
1.6
Using the imperial and metric systems
1.7
Surface area and volume of common three-dimensional solids
1.7
Surface area and volume of common three-dimensional solids
1.8
Solving measurement problems with surface area and volume
1.8
Solving measurement problems with surface area and volume
10 Lessons
2.1
Manipulating and solving linear equations
2.1
Manipulating and solving linear equations
2.2
Equations of lines
2.2
Equations of lines
2.3
Connecting rates of change to the slope of a line
2.3
Connecting rates of change to the slope of a line
2.4
The special lines y = b and x = a
2.4
The special lines y = b and x = a
2.5
Graphing standard and y = mx + b forms
2.5
Graphing standard and y = mx + b forms
2.6
Determining the equation of a line
2.6
Determining the equation of a line
2.7
Solving Linear Systems Graphically
2.7
Solving Linear Systems Graphically
2.8
Elimination
2.8
Elimination
2.9
Substitution
2.9
Substitution
2.10
Solving problems using systems of equations
2.10
Solving problems using systems of equations
5 Lessons
3.1
Multiplying monomials and polynomials
3.1
Multiplying monomials and polynomials
3.2
Expanding binomial products
3.2
Expanding binomial products
3.3
Factoring out a common factor
3.3
Factoring out a common factor
3.4
Factoring x squared + bx + c
3.4
Factoring x squared + bx + c
3.5
Factoring the difference of two squares
3.5
Factoring the difference of two squares
5 Lessons
4.1
Comparing linear and quadratic relations
4.1
Comparing linear and quadratic relations
4.2
Graphing basic quadratic relations and connections to tables of values
4.2
Graphing basic quadratic relations and connections to tables of values
4.3
Understanding the standard form y = x squared + bx + c
4.3
Understanding the standard form y = x squared + bx + c
4.4
Using the factored form y equals (x - s) (x - r)
4.4
Using the factored form y equals (x - s) (x - r)
4.5
Solving quadratic relation problems graphically
4.5
Solving quadratic relation problems graphically
