1. Geometry

2. Angles
Angles describe the shape made by two straight lines that meet at a point
Vertex –the point at which two lines meet
Degrees are used to measure an angle
Protractors are used to measure the number of degrees in an angle

3. Types of Angles Acute angle Right angle Obtuse Straight
An angle that measures between 0 and 90
Right angle
An angle that measures exactly 90 degrees
Obtuse
An angle that measures between 90 and 180 degrees
Straight
An angle that measures exactly 180 degrees

4. Identify the type of angle

5. Shapes and angles

6. Types of Quadrilaterals

7. Types of Triangles

8. Circles Perimeter is called Circumference Diameter Radius Pi (π)
Length of the line that goes from one edge, through the center, to the other edge of a circle
Radius
Length of any line that goes from the center of a circle to the edge
Pi (π)
The ratio of the circumference to the diameter

9. Circle Formulas Circumference Area Pi * diameter (or pi * 2 * radius)
Pi * radius * radius (pi r^2)

10. Other area formulas Triangle Square/Rectangle
½ base * height
Square/Rectangle
Length * width
Don’t forget your units!!! When we calculate area, it is measured in SQUARE UNITS (sq ft, sq meters, sq in, sq cm, etc)

11. Test your skill
Find the area and perimeter of the following 4m
0.5 m
5ft
4ft
6ft
14 cm

12. Stretch Break
You have 3 ½ minutes

13. Volume
Recall: area is measuring two dimensions, length and width. For volume, we measure three dimensions: length, width and height
When we calculated area, we multiplied the two dimensions together. So for volume, we will multiply three dimensions together
Don’t forget your units!!! When we calculate volume, it is measured in CUBIC UNITS (cu ft, cu meters, cu in, cu cm, etc)

14. Volume formulas Rectangular prism (a box of various shapes)
L * w *h
In general, area of base * height
(for rectangle box l * w is area of base)
We use this formula for shapes that are not so neat, like cylinders and triangular prisms (triangular boxes)

15. Test your skill--volume

16. Conversions in multiple dimensions
When converting units in multiple dimensions (ie more than one, ie area and volume) we must convert for each dimension
1 cu ft = 1ft *1ft*1ft
=12 in*12in*12in=______
1cu m= 1m*1m*1m
=100cm*100cm*100cm=______

17. Test your skill conversion
3cu ft = _____cu in
200,000 cu cm=_____cu m
512 cu ft = _____cu yards

18. Pythagorean Theorem a c b a^2+b^2=c^2
Used in right triangles as a relationship between sides a b c

19. Test your skill