Download 6-12 Comp 3 trainer notes - Math6-12TestPrep

Trainer Notes for
Content Preparation for 6-12 FTCE
Title of Event: Content Preparation for 6-12 Math FTCE
Block: Competency 3 Block
Description: This course will focus on 3 steps:
Step 1: Content Preparation
Step 2: Understand the Testing Requirements
Step 3: Understand the Test Format
Delivery Method:
Face-to-face with online support
Target Audience: Teachers
Session Duration: Varies
Prerequisites: None
Specific Objectives:
Participants will be able to complete assessment questions covering Knowledge of Geometry Standard.
Standards:
3 Knowledge of geometry from a synthetic perspective
1. Determine the change in the area or volume of a figure when its dimensions are altered.
2. Estimate measurements of familiar objects using metric or standard units.
3. Determine the relationships between points, lines, and planes, including their intersections.
4. Classify geometric figures (e.g., lines, planes, angles, polygons, solids) according to their properties.
5. Determine the measures of interior and exterior angles of any polygon.
6. Determine the sum of the measures of the interior angles and the sum of the measures of the exterior angles of convex polygons.
7. Identify applications of special properties of trapezoids, parallelograms, and kites.
8. Solve problems using the definition of congruent polygons and related theorems.
9. Solve problems using the definition of similar polygons and solids and related theorems.
10. Apply the Pythagorean theorem or its converse.
11. Use 30-60-90 or 45-45-90 triangle relationships to determine the lengths of the sides of triangles.
12. Calculate the perimeter, circumference, and/or area of two-dimensional figures (e.g., circles, sectors, polygons, composite figures).
13. Apply the theorems pertaining to the relationships of chords, secants, diameters, radii, and tangents with respect to circles and to each other.
14. Apply the theorems pertaining to the measures of inscribed angles and angles formed by chords, secants, and tangents.
15. Identify basic geometric constructions (e.g., bisecting angles or line segments, constructing parallels or perpendiculars).
16. Identify the converse, inverse, and contrapositive of a conditional statement.
17. Identify valid conclusions from given statements.
18. Classify examples of reasoning processes as inductive or deductive.
19. Determine the surface area and volume of prisms, pyramids, cylinders, cones, and spheres.
20. Identify solids and their related nets.
Time
Frame
Duration
Of
Activity)
20
minutes
Content
Course Outline
Process/
Product
Script for each Content Area
Pre-test
1.
The instructor will give participants 20-minutes to complete a pre-assessment
for competency 3.
30
Review of Pretest
1.
The instructor will go over the 15 questions on the pre-assessment.
30
Geometry
Practice 1
1.
The instructor will use examples to demonstrate skills 1 – 11 of competency 3.
Participant
Evaluation
Assessment of
Specific Objectives
Participants will:





Determine the
change in the area
or volume of a
figure when its
dimensions are
altered.
Estimate
measurements of
familiar objects
using metric or
standard units.
Determine the
relationships
between points,
lines, and planes,
including their
intersections.
Classify geometric
figures (e.g., lines,
planes, angles,
polygons, solids)
according to their
properties.
Determine the
measures of
interior and exterior
angles of any
Materials/
Resources
Training
Materials for
Activities
Competency 3
Geometry
Pretest.pdf
Trainer Notes for
Content Preparation for 6-12 FTCE






10
Break
30
Geometry
Practice 1
1.
2.
The instructor will give participants the Geometry Practice 1 worksheet
Give participants time to work on the problems, then go over any problems
participants request
55
Geometry
Practice 2
3.
The instructor will use examples to demonstrate skills 12 – 20 of competency
3.
The instructor will give participants the practice Transformations worksheet.
Give participants time to work on the problems, then go over any problems
participants request
1.
2.
Participants will:





Post-test
1.
The instructor will give participants the Post-assessment for competency 3 to
complete on their own.
Use 30-60-90 or
45-45-90 triangle
relationships to
determine the
lengths of the sides
of triangles.
Geometry
Practice
1.pdf

5
minutes
polygon.
Determine the sum
of the measures of
the interior angles
and the sum of the
measures of the
exterior angles of
convex polygons.
Identify
applications of
special properties
of trapezoids,
parallelograms,
and kites.
Solve problems
using the definition
of congruent
polygons and
related theorems.
Solve problems
using the definition
of similar polygons
and solids and
related theorems.
Apply the
Pythagorean
theorem or its
converse.
Calculate the
perimeter,
circumference,
and/or area of twodimensional figures
.
Apply the theorems
pertaining to the
relationships of
chords, secants,
diameters, radii,
and tangents with
respect to circles
and to each other.
Apply the theorems
pertaining to the
measures of
inscribed angles
and angles formed
by chords, secants,
and tangents.
Identify basic
geometric
constructions (e.g.,
bisecting angles or
line segments,
constructing
parallels or
perpendiculars).
Determine the
surface area and
volume of prisms,
pyramids,
cylinders, cones,
and spheres.
Identify solids and
their related nets.
Geometry
Practice
2.pdf
Competency 3
Geometry
Posttest.pdf