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Geometry Support WELCOME BACK STUDENTS!!

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Geometry Support

WELCOME BACK STUDENTS!!

Introduction› Teacher: Ms. Carmella Turrentine

› Subject: Geometry Support & Algebra 2

› Experience: 22 years

› Education: Bachelor’s – Computer Science & Minor in Mathematics

Master’s – Secondary Education w/ Concentration in Mathematics

Warm-up

Write the letter of the definition on the line next to the term.

_____ 1. Line A. The intersection of two rays at an endpoint.

_____2. Point B. Measurable and has two endpoints.

_____3. Plane C. It is made up of points with no thickness or width.

_____4, Line Segment D. A location with no size or shape.

_____5. Angle E. Extends indefinitely in one direction.

Classroom ExpectationsGeometry Support

WELCOME BACK STUDENTS!!

Course DescriptionModule 1: Module 2: Module 3: Module 4: Module 5:

Lines and Angles Triangles and Quadrilaterals

Circles Area and Volume Probability

• Basic Vocabulary• Points, Lines, and

Planes• Distance, Midpoint,

and Direct Line Segments

• Types of Angles• Angles formed by

Transversals• Proving Lines

Parallel• Slope, Parallel, and

Perpendicular Lines• Equations of Lines• Point-Slope

Formula

• ClassifyingTriangles

• Triangle Sum and Exterior Angle Theorem

• Isosceles and Equilateral Theorem

• Triangle Congruence

• Proving Triangles Congruent

• Parallelograms• Rectangles Rhombi,

and Squares• Quadrilateral in the

Coordinate Plane

• Circles Vocabulary• Central and

Inscribed Angles• Chords and Arcs• More on Chords and

Arcs• Secant and Tangent

Lines• Equations of Circles

• Circumference and Arc Length

• Area and Area of a Sector

• Volume of Cylinders and Prisms

• Volume of Pyramids, Cones, and Spheres

• Volume of Composite and Similar Solids

• Changing Dimensions of Solids

• TheoreticalProbability

• Mutually Exclusive and Inclusive Events

• Conditional Probability

• Independent and Dependent Events

Geometry SupportModule 1: Lines and Angles

Opening

What will I learning today?

• G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on undefined notions

How will I learn today?

• Define basic terms of geometry

How will I show what I learned?

• Ticket out the Door

Daily Agenda

A point is a location with

No size or shape.

A line is made up of points

With no thickness or width

A line that extends indefinitely

in one direction

Points that lie on the same

line. *non-collinear: points thatdo not lie on the same line

Daily Agenda

Points that lie on the same

Plane *non-coplanar: points that

A measureable part of a line

Consisting of two endpoints

The formula used to find the

Distance between two points

If two segments have the

Same length, then they

Are congruent

do not line on the same plane

On a coordinate plane

What will I learning today?

• G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on undefined notions

How will I learn today?

• Define basic terms of geometry

How will I show what I learned?

• Ticket out the Door

Daily Agenda

The formula used to find

The midpoint between two

A segment, line, or plane that Intersects a segment at its

A line that extends indefinitely In one direction

The intersection of two rays

At an endpoint

endpoints

midpoint

What will I learning today?

• G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on undefined notions

How will I learn today?

• Define basic terms of geometry

How will I show what I learned?

• Ticket out the Door

Daily Agenda

The common endpoint of an

An angle. (where the sides

An angle with a degree

Measure of 90̊

An angle with a degree

Measure less than 90̊

Intersect)

What will I learning today?

• G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on undefined notions

How will I learn today?

• Define basic terms of geometry

How will I show what I learned?

• Ticket out the Door

Daily Agenda

An angle with a degree

Measure greater than 90̊

Two angle that have the

Same measure are congruent

Two angle that share a

Common side and vertex

“next to” each other

What will I learning today?

• G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on undefined notions

How will I learn today?

• Define basic terms of geometry

How will I show what I learned?

• Ticket out the Door

Daily Agenda

Two angle directly across

From each other on intersecting

Two angles with the measures

That sum is equal to 90̊

Two angles with the measuresThat sum is equal to 180̊

Lines. *always congruent*

*Do not have to be adjacent*

*Do not have to be adjacent*

What will I learning today?

• G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on undefined notions

How will I learn today?

• Define basic terms of geometry

How will I show what I learned?

• Ticket out the Door

Daily Agenda

An angle with a degree

Measure greater than 90̊

Two line that intersect at a

90̊ angle (right angle)

A line or ray that divides

An angle into two equal parts

What will I learning today?

• G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on undefined notions

How will I learn today?

• Define basic terms of geometry

How will I show what I learned?

• Ticket out the Door

Daily Agenda

location

Size shape

points

2

thickness width

What will I learning today?

• G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on undefined notions

How will I learn today?

• Define basic terms of geometry

How will I show what I learned?

• Ticket out the Door

Daily Agenda

Flat surface

3

point

line

What will I learning today?

• G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on undefined notions

How will I learn today?

• Define basic terms of geometry

How will I show what I learned?

• Ticket out the Door

Daily Agenda

What will I learning today?

• G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on undefined notions

How will I learn today?

• Define basic terms of geometry

How will I show what I learned?

• Ticket out the Door

Work in Collaborative pairs to complete the activity below.

Work Session: Naming Points, Lines, and Planes

Closing

Draw a picture to represent each term listed below.

Line Line Segment Point Angle

Collinear Ray Right Angle Vertex

Geometry SupportModule 1: Lines and Angles

Warm-upUsing iRespond. Complete the Vocabulary Quiz # 1 - 10

Warm-upUsing iRespond. Complete the Vocabulary Quiz # 1 - 10

Opening Using the ordered pairs, find the distance and midpoint without using a formula. Write best answer to how you found each in the space provided.

Describe how to find the distance and midpoint, give the answer

Group 1

𝐴 −1, 4 𝐵(5, 4)

Group 2

𝐶 −4, 3 𝐷(6, 3)

Group 3

𝐴 −1, 5 𝐵(−1,−3)

Group 4

𝐴 −3, 2 𝐵(1, 2)

Group 5

𝐴 1,−2 𝐵(5,−2)

Daily Agenda

What will I learning today?

• G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on undefined notions

How will I learn today?

• Define basic terms of geometry

How will I show what I learned?

• Ticket out the Door

Daily Agenda

What will I learning today?

• G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on undefined notions

How will I learn today?

• Define basic terms of geometry

How will I show what I learned?

• Ticket out the Door

Daily Agenda

What will I learning today?

• G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on undefined notions

How will I learn today?

• Define basic terms of geometry

How will I show what I learned?

• Ticket out the Door

Work in Collaborative pairs to complete the activities below.

Work Session: Distance and Midpoint Practice

Closing

1. Find the midpoint between (0,1) and (-8, -3).

2. Find the distance between (2,4) and (9, 10)

Geometry SupportModule 1: Lines and Angles

Warm-up

Answer the questions below.

1. What is the BIG difference between a line and line segment?

2. What are congruent segments?

3. Find the midpoint between (-2, 2) and (4, 0)?

4. Find the distance between (-2, 10) and (1,3).

Opening

Daily Agenda

What will I learning today?

• G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on undefined notions

How will I learn today?

• Define basic terms of geometry

How will I show what I learned?

• Ticket out the Door

Daily Agenda

What will I learning today?

• G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on undefined notions

How will I learn today?

• Define basic terms of geometry

How will I show what I learned?

• Ticket out the Door

Daily Agenda

What will I learning today?

• G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on undefined notions

How will I learn today?

• Define basic terms of geometry

How will I show what I learned?

• Ticket out the Door

Work Session: Partitioning Directed Line Segments

Closing

Summarize how to identify the point on a

directed line segment.