Tis what it is!

1. Math: Geometry

2. Review on algebra:
 3 Identities
 Linear Equation General Form / Slope
 Quadratic Equations and Formula for roots
 Modulus
 Exponents
 Inequalities
 Functions

3. Today’s Agenda: Geometry
 Co-ordinate Geometry / Functions 18
 Advanced Functions - Graphing (Plus) 20
 Circles (16 items) 2
 Lines andAngles (23 items) 5
 Triangle Area/Perim/Pythag (11 items) 11
 Third Side Rule/Angle Side Rule (6 items)13
 SimilarTriangles (5 items) 15
 Rectangle Area/Perimeter 16
 Polygons (5 items) 24
 Solids (13 items) 25

4. Co-ordinate Geometry (pg 18)
 Slope:

5. Coordinate Geometry (Pg 20)
 Modulus

6. Quadratics, Roots, Intercept

7. Shape of root function

8. How Functions shift
In general, for any function h(x) and any positive number c,the following are
true.
 The graph of h(x+c) is the graph of h(x) shifted to the left by c units.
 The graph of h(x−c) is the graph of h(x) shifted to the right by c units.
The graph of h(x)+c is the
graph of h(x) shifted
upward by c units.
The graph of h(x)−c is the
graph of h(x) shifted
downward by c units.
The graph of ch(x) is the graph of
h(x) stretched vertically by a
factor of c if
c>1.
The graph of ch(x) is the graph of
h(x) shrunk vertically by a
factor of c if
0<c<1.

9. Circles advanced
The graph of an equation of the
form (x−a)2+(y−b)2 = r2 is a
circle with its center at the
point (a,b) and with radius r.

10. Circles Basic (Pg 2.)

11. Circles Exercises
1. What is the area of a circle with radius 8?
2. What is the area of a circle with diameter 12?
3. What is the area of a circle with radius
4. What is the area of a circle with circumference 8π?
5. What is the diameter of a circle with area 49π?
6. What is the circumference of a circle with area 18π?

12. Sectors in a Circle

13. Compound shapes

14. A few interesting cases
.

15. (Pg. 5)

17. Parralel lines

20. Triangle (pgs 11-15)
 Sides and angles:The length of any side of a triangle is less than the
sum of the lengths of the other two sides, and greater than the
positive difference of the lengths of the other two sides.
 If the lengths of two sides of a triangle are unequal, the greater
angle lies opposite the longer side and vice versa. In the figure
above, if ∠A > ∠B > ∠ C, then a > b > c.

21. Pythagoras theorem and special
triangles

22. Triangles Exercise

27. Quadrilaterals (pgs 16-24)

29. Solids (pg. 25)
Find the volume and surface area of each of the solids in #1–5.
1.A rectangular solid with dimensions 4, 6, and 8.
2.A rectangular solid with dimensions 3,4, and 12.
3.A cube with edge 6.
4.A cube with edge .
5.A cylinder with height 12 and radius 6. (Find the total
surface area.)
6.What is the area of a face of a cube with volume 64?