reflection - mccarronsitemccarronsite.net/m2375-chapterg1slides.pdf · reflection he performs...
TRANSCRIPT
Fundamental Concepts
• Through any two different points, there is exactly one line.
• If two different lines intersect, their intersection is a single point.
Generally Speaking
• Geometric figures are sets (of points)• If we say two figures are equal, for example: ∆ABC= ∆XYZwe mean they are the same set of points
• If we say two figures are congruent, for example: ∆ABC≅ ∆XYZwe mean they have the same size and shape
Sets of Points
• Trace first set of points
• Trace second set of points
• Perform set operation
• Describe solution set
W
P Q T
VX
YZ
PQZWV ∠
Sets of Points
W
P QR
T
VX
YZ
Trace first set of points
Trace second set of points
Perform set operation
Describe solution set
TXQZXRXTXQ
PVZT
∠∠
Sets of Points
W
P QR
T
VX
YZ
Trace first set of points
Trace second set of points
Perform set operation
Describe solution set
PQRVWTWPQV
ZWXT
∠∠
Piaget stages of cognitive development
• Sensorimotor. Birth through ages 18-24 months
• Preoperational. Toddlerhood (18-24 months) through early childhood (age 7)
• Concrete operational. Ages 7 to 12• Formal operational. Adolescence through
adulthood
Teacher’s Solution
Patrick bought 4.5 m of duct tape. He used two thirds of it to repair his car window. He used one fifth of the remainder to patch his shoes. How much duct tape did he have left?
Reflection
“The wind blows wherever it pleases. You hear its sound, but you cannot tell where it comes from or where it is going. So it is with everyone born of the Spirit.”.
John 3:8
21 cm
5 cm12 cm
What’s wrong with this triangle?(Hint: if you draw a triangle with these side lengths, what will it really look like?
Units
• Memorize customary unit relationships p. 7, 15, 16– Add 1 yard = – Add 1760 yards =
• McCarron’s opinion on nonstandard units
Reflection
In your relationships with one another, have the same mindset as Christ Jesus: Who, being in very nature God, did not consider equality with God something to be used to his own advantage; rather, he made himself nothing by taking the very nature of a servant, being made in human likeness. And being found in appearance as a man, he humbled himself by becoming obedient to death— even death on a cross!
Philippians 2:5-8
Today
• Measuring angles with a protractor• Constructions (compass and straight
edge)– Copy segment– Copy angle– Perpendicular bisector of segment– Angle bisector
• Linear pair• Vertical angles
Don’t Forget
• Pick up today– Practice G1.3
• Semester Project due next time– 2 assessment questions– Activity style– Always include TEKS
Measuring an angle
• Right side up• Extend if necessary• Cross hairs on vertex• One side on zero line• Read scale to other side
Drawing an angle with a protractor
• Draw a ray (clear endpoint)
• Cross hairs on vertex• One ray on zero line• Make a dot at desired
angle measure• Use straight edge to
draw other ray
Constructions
• Congruent segments• Congruent angles• Perpendicular bisector of a segment• Angle bisector
Exercise 1
1. One a blank piece of paper, use a straight edge to draw two lines that intersect.
2. Use a protractor to measure each angle, then label your diagram.