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Transcript
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