Reflection

He performs wonders that cannot be fathomed, miracles that cannot be counted.

Job 5:9

Warm up

Does “=“ always mean the same thing?

34

12= {,,} = {,,}

Today

• Geometry terminology• Sets and geometric objects• Measuring with a ruler• Word problems

Don’t Forget

• Pick up today– Graded Labs– Practice G1.1

• Semester Project TEKS due next time

Bring Me to Class

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

Terminology

P Q

Terminology

P Q

Terminology

P Q

AngleAnatomy

What’s the difference?

Practice 1

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

∠∠

W

Sets of Points

P Q

RT

VX

YZWPQV

QXWZT

∆

Sans Paper?

A

B

C

E

D

F

GH

I

DBCF

Practice 3

Measuring with a Ruler

A B

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

Conservation

Conservation

Measuring with a Ruler

A B

Smartboard Warning

Practice 4

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?

Practice 5

The End of §G1.1

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

W

Warm up

P Q

RT

VX

YZ WPWT

W

Warm up

P Q

RT

VX

YZ WPWT

Today

• Units of measurement• Triangle Inequality• TEKS turn in

Use Me

Page 10, ruler comparison at top

Page 10, last ¶ before Homework Set 2

On page 11, do problem #7

Measuring with a Ruler

A B

What is the difference between ?and ABAB

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?

What’s wrong with this triangle?

21 cm

5 cm12 cm

The Triangle Inequality

C

A

B

The Triangle Inequality

10 in

3 in

x

On page 11, do problem #10

On page 11, read problem #12

On page 11, read problem #13

Units

• Memorize customary unit relationships p. 7, 15, 16– Add 1 yard = – Add 1760 yards =

• McCarron’s opinion on nonstandard units

On page 15

“Notice that children…Add to your kangaroo…

On page 17, do problem #12

The End of §G1.2

Start Here

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

Warm Up: The Triangle Inequality

15 m

7 m

x

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

Protractors are transparent

Right Wrong

If the ray is short, use straight edge

Measuring an angle

• Right side up• Extend if necessary• Cross hairs on vertex• One side on zero line• Read scale to other side

Practice 1

Angles: acute, right, straight, obtuse

1

2

3

4

5Opposite Rays

Measuring an angle

To measure a reflex angle, subtract from 360.

Read

• Example 4.2 page 22• Example 4.3 page 22• Practice: page 24, #1

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

Practice 2

Constructions

• Congruent segments• Congruent angles• Perpendicular bisector of a segment• Angle bisector

Copy Segment

Practice 3

Copy Angle

Practice 4

Perpendicular Bisector of Segment

Practice 5

Angle Bisector

Practice 6

The End of §G1.3

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.

Name the Vertical Angles

X

A

BC

D

E

F

Constructions

• Congruent segments• Congruent angles• Perpendicular bisector of a segment• Angle bisector