Trigonometric Ratios
Description

By the end of this unit you will be able to:

  • Define and use the trigonometric ratios of cosθ, sinθ and tanθ.
  • Calculate the trigonometric ratios in each quadrant of the Cartesian plane.
  • Calculate the value of expressions containing trigonometric ratios.
Language
English
Resource Type
Publisher
Pressbooks
Publication Date
Creator/Author
Dylan Busa
Theorem of Pythagoras
Description

By the end of this unit you will be able to:

  • Identify different types of triangles.
  • Investigate the relationship between the sides of a right-angled triangle to develop the Theorem of Pythagoras.
  • Use the Theorem of Pythagoras to find missing lengths in right angled triangles.
Language
English
Resource Type
Publisher
Pressbooks
Publication Date
Creator/Author
Natashia Bearam-Edmunds
Two Axis Rotations
Description

Students learn about two-axis rotations, and specifically how to rotate objects both physically and mentally about two axes. A two-axis rotation is a rotation of an object about a combination of x, y or z-axes, as opposed to a single-axis rotation, which is about a single x, y or z-axis. Students practice drawing two-axis rotations through an exercise using simple cube blocks to create shapes, and then drawing on triangle-dot paper the shapes from various x-, y- and z-axis rotation perspectives.

Language
English
Publisher
University of Colorado Boulder
Publication Date
Creator/Author
University of Colorado Boulder
Solve Quadratic Equations by Factorisation
Description

By the end of this unit you will be able to:

  • Apply the zero-product law.
  • Solve rational quadratic equations which have fractions with the unknown in the denominator.
  • Factorise quadratic expressions to solve for the unknown variable.
Language
English
Resource Type
Publisher
Pressbooks
Publication Date
Creator/Author
Dylan Busa
Solve Linear and Quadratic Equations
Description

By the end of this unit you will be able to:

  • Solve equations with a single variable which are called linear equations
  • Solve equations with a single variable that is squared (quadratic equations) by factorisation.
Language
English
Resource Type
Publisher
National Curriculum Vocational Mathematics Level 2
Publication Date
Creator/Author
Dylan Busa
Radicals and Rational Exponents
Description

In this section, you will:

  • Evaluate square roots.
  • Use the product rule to simplify square roots.
  • Use the quotient rule to simplify square roots.
  • Add and subtract square roots.
  • Rationalize denominators.
  • Use rational roots.
Language
English
Resource Type
Publisher
openstax
Publication Date
Creator/Author
Jay Abramson