About This Chapter
FTCE: Geometry and Spatial Sense - Chapter Summary
You can refresh your knowledge of geometry and spatial sense, which are covered in the Florida Teacher Certification Examinations (FTCE) General Knowledge Test, with these video lessons. These lessons can teach you to identify various two- and three-dimensional figures and classify them according to their properties. You'll also learn to employ various mathematical relationships and formulas to solve real-world problems. By the end of this chapter, you should understand the following:
- Properties of various shapes, including triangles, circles, rectangles, trapezoids and polygons
- Properties of congruent and similar shapes
- Properties of simple three-dimensional figures
- Real-world and mathematical problem solving with ratios and proportions
- Application of the Pythagorean Theorem
- Parts of a graph and shifting graphs on a plane
- Midpoint and distance formulas
Objectives of the FTCE: Geometry and Spatial Sense Chapter
Public school teachers in Florida must be certified, and one step in the certification process is passing the FTCE General Knowledge Test. This four-part exam gauges your skills in mathematics, reading, English and writing. The math subtest is presented in a multiple-choice format, and test takers have 100 minutes to complete 45 questions. Approximately nine of these questions focus on geometry and spatial sense. Your testing center will provide you with a four-function calculator to use for this subtest.
If it's been a while since you've tested your knowledge of geometry and spatial sense, you might start by taking the self-assessment quizzes that accompany each video lesson. Then, watch the videos, paying special attention to areas where you struggled on the quizzes. Retaking the self-assessments can show you how much your skills have improved, which could provide a boost of confidence heading into the FTCE.
1. Area of Complex Figures
Finding the area of shapes isn't always as simple as it is with squares and rectangles. In this lesson, you'll learn how to find the area of complex figures. This includes finding the area of unusual shapes and finding the area of parts of shapes.
2. How to Calculate the Volumes of Basic Shapes
Squares pegs = square holes. Triangular pegs = triangular holes. But where does a sphere go? In this lesson, review volumes of common shapes while contrasting a sphere and a cylinder - after all, they both go into the circular hole... right?
3. Properties of Shapes: Rectangles, Squares and Rhombuses
What's the difference between a square and a rectangle? What about a rhombus and a square? In this lesson, we'll look at the properties of these shapes.
4. Properties of Shapes: Quadrilaterals, Parallelograms, Trapezoids, Polygons
Four-sided objects are more than just squares and rectangles. In this lesson, we'll discuss quadrilaterals, parallelograms and trapezoids. We'll also discuss polygons, objects that can have more sides than you can count.
5. Overview of Three-dimensional Shapes in Geometry
We are surrounded by three-dimensional shapes. Watch this video lesson to see what some three-dimensional shapes look like, such as a cube, a sphere, a brick, and a cylinder.
6. The Pythagorean Theorem: Practice and Application
The Pythagorean theorem is one of the most famous geometric theorems. Written by the Greek mathematician Pythagoras, this theorem makes it possible to find a missing side length of a right triangle. Learn more about the famous theorem here and test your understanding with a quiz.
7. Properties of Congruent and Similar Shapes
In this lesson, we'll look at triangles, rectangles and other shapes that share properties. This includes both congruent and similar shapes. We'll also practice identifying the missing properties of these shapes.
8. Calculations with Ratios and Proportions
Even if only 99 out of 100 people need to know how to work with ratios, the odds that they'll be useful to you are very high. In this lesson, we'll practice performing calculations with ratios and proportions.
9. Practice Problems for Calculating Ratios and Proportions
In this lesson, you'll get a quick review of a type of math problem that shows up on the SAT: ratios and proportions. We'll walk through some problems in the video, and you can test your skills in the quiz questions.
10. How to Read and Interpret Scale Drawings
Watch this video lesson to learn how scale drawings and legends are used on maps and blueprints. Learn skills that will serve you well when traveling and when looking at the blueprints of a car.
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Other chapters within the FTCE General Knowledge Test (GK) (082): Study Guide & Prep course
- About the FTCE General Knowledge Test
- FTCE: Word Choice
- FTCE: Sentence Structure
- FTCE: Grammar Skills
- FTCE: Spelling, Capitalization & Punctuation
- FTCE: Essay Skills
- FTCE: Essay Writing
- FTCE: Literal Reading Comprehension
- FTCE: Inferential Comprehension
- FTCE: Number Sense and Math Operations
- FTCE: Measurement
- FTCE: Algebraic Thinking
- FTCE: The Coordinate Plane
- FTCE: Data Analysis
- FTCE: Probability
- Studying for FTCE General Knowledge