Transformations
Co-ordinate on a Grid p. 224 #6-12
Reminders
Reminders
- The horizontal axis is the x axis
- The vertical axis is the y axis
- The origin is the point where the two axes cross
- A c-ordinate is made up (x,y)
Day # 2 Translations p.228 #6-11, 13
Reminders
Reminders
- When we perform a transformation on any point, A becomes A prime. This transformed point makes up the image.
- Translation is another term for slide.
- In order to translate points we consider the translation vector written in square brackets ex. [-3,5)
- We add these points to the (x,y) co-ordinates
Reflections p. 232 #4,5, 7a-c, 8 a,b
Reminders
Reminders
- There are four possible lines of reflection :
- X axis (x,y) becomes (x,-y)
- Y axis (x,y) becomes (-x,y)
- Diagonal line through (0,0) and (1,1) (x,y) becomes (y,x)
- Diagonal line through (0,0) and (-1,1) (x,y) becomes (-y,-x)
Rotations p. 232 #6, 7d, e, 8 d,e
Reminders
Reminders
- Rotations can occur in two directions clockwise (cw) and counter clockwise (ccw)
- There are 6 possible rotations 90 degrees cw, 180 degrees cw, 270 degrees cw, 90 degrees ccw, 180 degrees ccw, 270 degrees ccw.
Mid Chapter Review p. 232 #1-10
Exploring Similar Sized Shapes
Exploring Similar Sized Shapes
Angles and Triangles
Day #1 What Do You Remember p.337 #1-4
Day#2 Intersecting Lines, Parallel Lines and Transversals p.342 #6-12
Reminders
Day#2 Intersecting Lines, Parallel Lines and Transversals p.342 #6-12
Reminders
- A straight line equals 180 degrees
- Straight lines that intersect form supplementary and opposite angles
- A transversal is a straight line that crosses parallel lines
- Parallel lines form alternate and corresponding angles
Day#3 Types of Triangles p. 346 #4-1
Reminders
Reminders
- The sum of the angles in a triangle is 180 degrees
- Acute Triangle - 3 acute angles
- Right Triangle - 1 right angle
- Obtuse Triangle - 1 obtuse angle
Day#4 Mid-Chapter Review p. 351 #1-10
Day #5 Pythagorean Theory p. 356, 357 #4-14
Reminders
Day #5 Pythagorean Theory p. 356, 357 #4-14
Reminders
- Can only be used with Right Triangles
- The Hypotenuse is the longest side and is opposite the right angle
- If you need to find the Hypotenuse use the formula h(squared)=a(squared) + b(squared)
- If you have have the Hypotenuse use the formula a(squared)=h(squared)-b(squared)
Day #6 Chapter Review p.365 #1-8
Day #7 Math Chapter Self Test p. 363 #1-10
Day #7 Math Chapter Self Test p. 363 #1-10