welcome back students!! - wordpress.com description module 1: module2: module3: module 4: module 5:...
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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.
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
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
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)
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).
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