Download Comp 8a trainer notes 2 - MATH5-9TestPrep

Trainer Notes for
5-9 FTCE Course
Title of Event: Math Content for 5-9 Math FTCE
Block: Session 9
Description: This course will focus on the Florida 5-9 middle grades mathematics competencies
Delivery Method: Classroom Instruction with online tutorials
Target Audience: Teachers
Session Duration: Session 9 of 10
Prerequisites: None
Specific Objectives:
Participants will be able to identify angles, lines and planes.
Participants will be able to determine measures of angles and line segments.
Participants will be able to solve right triangle problems.
8 Knowledge of geometry and spatial sense
1. Identify angles or pairs of angles as adjacent, complementary, supplementary, vertical, corresponding, alternate interior, alternate
exterior, obtuse, acute, or right.
2. Identify lines and planes as perpendicular, intersecting, skew, or parallel.
3. Identify triangles using the lengths of their sides or the measures of their angles.
4. Determine the sum of the measures of the interior angles and the sum of the measures of the exterior angles of convex polygons.
5. Determine the measures of the specified interior or exterior angles of a triangle or a regular polygon.
6. Apply the inequality relationships among the angles and sides of a triangle.
7. Use the SAS, ASA, and SSS postulates to show pairs of triangles congruent, including the case of overlapping triangles.
8. Solve real-world problems involving similar or congruent figures.
9. Solve real-world problems applying the Pythagorean theorem and its converse.
10. Solve real-world problems by applying the 30˚–60˚–90˚ or 45˚–45˚–90˚ triangle relationships.
11. Solve right triangle problems by applying tangent, sine, or cosine ratios.
Time
Frame
Duration
Of
Activity)
20
minutes
20
minutes
Content
Course Outline
Introduction to
Course
Process/
Product
Script for each Content Area
Participant
Evaluation
Assessment of Specific
Objectives
The instructor provide participants:
1. Information about instructor
a. background
b. how to be reached
2. Information about the course & objectives hand-out
objectives.pdf)
a. Course objectives
b. Participant obligations – reinforce the need to
complete all assignments PRIOR to the next class.
Success is dependent on their active participation.
3. Syllabus hand-out and discuss syllabus (syllabus.pdf)
a. Assignment that needs to be completed before
each class
4. Pretest for Competency 8 Skills 1
About the course
5. The instructor will start with Competency 8 – Knowledge of
Geometry and Spatial Sense (Skill 1)
a. Talk about on Notes Sheet for Competency 8 Notes part 1
Skill 1
b. Using LCD w/PowerPoint or Flip Chart work Comp 8 part 1
examples slides 1-10
c. Practice problems A-B from worksheet Practice Problems 8
part 1.docx
d. Instructor will show participants the practice problems on the
board/screen and ask for volunteers to work the problems.
Materials/
Resources
Training Materials for
Activities
5-9 syllabus.pdf
5-9 objectives.pdf
Geometry Part 1
Pretest.pdf
Participants will
understand and solve
problems dealing with
competency 6 topics:
 Identify angles or pairs
of angles as adjacent,
complementary,
supplementary, vertical,
corresponding, alternate
interior, alternate
exterior, obtuse, acute,
or right.
Comp 8 part 1
examples.pptx
Comp 8 part 1 examples
.flipchart
Comp 8 part 1 examples
participant handout.pdf
Competency 8 Notes
part 1.docx
Practice Problems 8 part
1.docx
20
minutes
6. The instructor will continue with Competency 8 – Knowledge of
Geometry and Spatial Sense (Skills 3 and 7)
a. Talk about on Notes Sheet for Competency 8 Notes part 1
Skills 3 and 7
Participants will
understand and solve
problems dealing with
competency 6 topics:
Practice Problems 8 part
1 Ans .docx
Comp 8 part 1
examples.pptx
Comp 8 part 1 examples
Trainer Notes for
5-9 FTCE Course
b.
Using LCD w/PowerPoint or Flip Chart work Comp 8 part 1
examples slides 11-29
c. Practice problems D-F from worksheet Practice Problems 8
part 1.docx
d. Instructor will show participants the practice problems on the
board/screen and ask for volunteers to work the problems
 Identify triangles
using the lengths of
their sides or the
measures of their
angles.
 Use the SAS, ASA, and
SSS postulates to show
pairs of triangles
congruent, including the
case of overlapping
triangles.
.flipchart
Comp 8 part 1 examples
participant handout.pdf
Competency 8 Notes
part 1.docx
Practice Problems 8 part
1.docx
Practice Problems 8 part
1 Ans .docx
10
minutes
20
minutes
BREAK
7 . The instructor will continue with Competency 8 – Knowledge of
Geometry and Spatial Sense (Skill 6)
a. Talk about on Notes Sheet for Competency 8 Notes part 1
Skill 6
b. Using LCD w/PowerPoint or Flip Chart work Comp 8 part 1
examples slides 30-36
c. Practice problems G-I from worksheet Practice Problems 8
part 1.docx
d. Instructor will show participants the practice problems on the
board/screen and ask for volunteers to work the problems
Participants will
understand and solve
problems dealing with
competency 6 topics:
 Apply the inequality
relationships among the
angles and sides of a
triangle.
Comp 8 part 1
examples.pptx
Comp 8 part 1 examples
.flipchart
Comp 8 part 1 examples
participant handout.pdf
Competency 8 Notes
part 1.docx
Practice Problems 8 part
1.docx
25
minutes
30
minutes
8 . The instructor will continue with Competency 8 – Knowledge of
Geometry and Spatial Sense (Skills 4 and 5)
a. Talk about on Notes Sheet for Competency 8 Notes part 1
Skills 4 and 5
b. Using LCD w/PowerPoint or Flip Chart work Comp 8 part 1
examples slides 37-43
c. Practice problem J from worksheet Practice Problems 8 part
1.docx
d. Instructor will show participants the practice problems on the
board/screen and ask for volunteers to work the problems
9 . The instructor will continue with Competency 8 – Knowledge of
Geometry and Spatial Sense (Skills 9 and 10)
a. Talk about on Notes Sheet for Competency 8 Notes part 1
Skills 9 and 10.
b. Using LCD w/PowerPoint or Flip Chart work Comp 8 part 1
examples slides 44-54
c. Practice problem K-L from worksheet Practice Problems 8
part 1.docx
d. Instructor will show participants the practice problems on the
board/screen and ask for volunteers to work the problems
Participants will
understand and solve
problems dealing with
competency 6 topics:
 Determine the sum of
the measures of the
interior angles and the
sum of the measures of
the exterior angles of
convex polygons.
 Determine the
measures of the
specified interior or
exterior angles of a
triangle or a regular
polygon.
Participants will
understand and solve
problems dealing with
competency 6 topics:
 Solve real-world
problems applying the
Pythagorean theorem
and its converse.
 Solve real-world
problems by applying
the 30˚–60˚–90˚ or 45˚–
45˚–90˚ triangle
relationships.
Practice Problems 8 part
1 Ans .docx
Comp 8 part 1
examples.pptx
Comp 8 part 1 examples
.flipchart
Comp 8 part 1 examples
participant handout.pdf
Competency 8 Notes
part 1.docx
Practice Problems 8 part
1.docx
Practice Problems 8 part
1 Ans .docx
Comp 8 part 1
examples.pptx
Comp 8 part 1 examples
.flipchart
Comp 8 part 1 examples
participant handout.pdf
Competency 8 Notes
part 1.docx
Practice Problems 8 part
1.docx
30
minutes
10 . The instructor will continue with Competency 8 – Knowledge of
Geometry and Spatial Sense (Skill 11)
a. Talk about on Notes Sheet for Competency 8 Notes part 1
Skill 11.
b. Using LCD w/PowerPoint or Flip Chart work Comp 8 part 1
examples slides 55-60
c. Practice problem M from worksheet Practice Problems 8
part 1.docx
Participants will
understand and solve
problems dealing with
competency 6 topics:
 Solve right triangle
problems by applying
tangent, sine, or cosine
ratios.
Practice Problems 8 part
1 Ans .docx
Comp 8 part 1
examples.pptx
Comp 8 part 1 examples
.flipchart
Comp 8 part 1 examples
participant handout.pdf
Trainer Notes for
5-9 FTCE Course
d. Instructor will show participants the practice problems on the
board/screen and ask for volunteers to work the problems
Competency 8 Notes
part 1.docx
Practice Problems 8 part
1.docx
5
minutes
Wrapup/Homework
Instructor will give participants a homework assignment:
Part 1 Posttest.pdf
Geometry
Participants will solve
questions for
Competency 8.
Practice Problems 8 part
1 Ans .docx
Geometry Part 1
Posttest.pdf