Math class 3 geometry part 1

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Information about Math class 3 geometry part 1
Education

Published on March 14, 2014

Author: haidershishmahal

Source: slideshare.net

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Tis what it is!

Math: Geometry

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

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

Co-ordinate Geometry (pg 18)  Slope:

Coordinate Geometry (Pg 20)  Modulus

Quadratics, Roots, Intercept

Shape of root function

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.

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.

Circles Basic (Pg 2.)

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?

Sectors in a Circle

Compound shapes

A few interesting cases .

(Pg. 5)

Parralel lines

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.

Pythagoras theorem and special triangles

Triangles Exercise

Quadrilaterals (pgs 16-24)

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?

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