Math 306 Summer 2010 Agenda

1. Welcome to Math 306Summer 2010 Instructor: Mr. C. Theodorakakos (Mr. “T”)Math Rocks!

2. Agenda Course outline Math 306_CourseSyllabus_Summer.docx Supplies required Pencils Eraser Paper (50 sheets) or 3 ring notebook Ruler Scientific calculator Rules Survey students who can bring Math 3000 workbook Construct name tag with paper

3. Examples A ladder 6.5 m in length leans against a windowsill. The foot of the ladder is 2.5 m from the house. Find the height of the windowsill from the ground. Answer: The height is 6 m

4. What is the length of segment AB in the figure below? Answer: m AB 5.83 cm  5.8 cm

5. In the triangle shown below, what is the measure of segment AD? The measure of segment AD is ____________________. Answer: Measure of BD = 28 Measure of AD = 51.31 (accept 51.00 or 51.3 or 51.31)

6. Secondary 3 students in the Woodworking course constructed a kite made up of 2 triangles. One is an equilateral triangle whose side measures 25 cm. The other is an isosceles triangle whose congruent sides measure 40 cm. These dimensions are illustrated in the diagram below: What is the total area of the kite? Round your answer to the nearest hundredth square cm. Show all your work.

7. Example of an appropriate solution Area of equilateral triangle Calculate height h1 h121.65 since an axis of symmetry of an isosceles or equilateral triangle contains a height and a median A1= (bxh)/2 A1(25x21.65)/2 A1 270.63

8. Area of isosceles triangle Calculate height h2 h2 38 since an axis of symmetry of an isosceles or equilateral triangle contains a height and a median A2= (25x38)/2 A2 475 Area of kite A 270.63 + 475 A 745.63 Answer: The area of the kite is 745.63 cm2.

10. http://www.youtube.com/watch?v=cgEuUzHYvOY