Secondary Math II

Tyler Haslam, Mar 26, 2015

Geogebra files for teaching concepts of Secondary Math II

Table of Contents

  1. Tranformations
    1. Postulate 2
  2. Postulates and Proof
  3. Triangles
  4. Quadrilaterals and other Polygons
  5. Circles
    1. Tangent and Radius
  6. Trigonometry

1.

Tranformations

  • 1. Postulate 2

1.1.

Postulate 2

After a translation, corresponding line segments in an image and its pre-image are always parallel or lie along the same line.

What criteria will ensure that AB || A'B'
– Tyler Haslam

2.

Postulates and Proof


    This chapter does not contain any resources yet.

3.

Triangles


    This chapter does not contain any resources yet.

4.

Quadrilaterals and other Polygons


    This chapter does not contain any resources yet.

5.

Circles

In this unit students prove basic theorems about circles, such as a tangent line is perpendicular to a radius, inscribed angle theorem, and theorems about chords, secants, and tangents dealing with segment lengths and angle measures. They study relationships among segments on chords, secants, and tangents as an application of similarity. In the Cartesian coordinate system, students use the distance formula to write the equation of a circle when given the radius and the coordinates of its center, and the equation of a parabola with vertical axis when given an equation of its directrix and the coordinates of its focus. Given an equation of a circle, they draw the graph in the coordinate plane, and apply techniques for solving quadratic equations to determine intersections between lines and circles or a parabola and between two circles. Students develop informal arguments justifying common formulas for circumference, area, and volume of geometric objects, especially those related to circles.

  • 1. Tangent and Radius

5.1.

Tangent and Radius

See how the radius is perpendicular to a tangent using limits of interior and exterior angles as the number of sides of a polygon approaches infinity.
– Tyler Haslam

6.

Trigonometry


    This chapter does not contain any resources yet.

Information