About This Chapter
Geometry & Measurement - Chapter Summary
The lessons in this chapter go into numerous mathematic topics within the realm of geometry and measurement. You'll delve into various forms of angles and lines while learning about the properties of several different shapes. Other topics covered in this chapter include:
- Mathematic translation
- Rotations and reflections in math
- Similarity within geometric shapes and polygons
- Applying the Pythagorean theorem
These lessons come in both video and text format, allowing you to process the material in the manner you prefer. The timeline feature beneath every video makes for an easy way of hopping around main points of the lesson, while the transcripts are full of key terms and topics emphasized in bold. And once you're through the chapter, you can take stock of how well you understood it by means of a practice final exam.
1. Types of Angles: Vertical, Corresponding, Alternate Interior & Others
In addition to basic right, acute, or obtuse angles, there are many other types of angles or angle relationships. In this lesson, we will learn to identify these angle relationships and discuss their measurements.
2. Parallel, Perpendicular and Transverse Lines
What are the different types of lines? Where are they visible in the real world and how can you recognize them? Find out here and test your knowledge with a quiz.
3. Properties of Shapes: Triangles
Isosceles, equilateral and obtuse, oh my! These are terms for triangles. But, what do they mean? In this lesson, we'll explore the properties of triangles and take a closer look at the different types of triangles you may encounter.
4. 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.
5. 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.
6. Properties of Shapes: Circles
Circles are fundamental to everything we do. But, did you know they're much more than just round shapes? In this lesson, we'll look at the various parts of circles and how they all relate.
7. What is Translation in Math? - Definition, Examples, & Terms
In mathematics, translation refers to moving an object without changing it in any other way. This lesson will describe how to translate an object and give some examples. A quiz will follow to test your knowledge.
8. Rotations in Math: Definition & Overview
A geometric rotation refers to the rotating of a figure around a center of rotation. This lesson will get you going on rotations, give you some examples, and end with a quiz that tests your knowledge of rotations.
9. Reflections in Math: Definition & Overview
A reflection of an object is a 'flip' of that object across a line. This lesson will describe the basics of reflection, how to recognize one and how to create one.
10. Similarity in Geometric Shapes
View this lesson to learn how you can determine whether shapes are similar. Find out how to use the one rule that tells you when your two shapes are geometrically similar.
11. Similar Polygons: Definition and Examples
Watch this video to learn what makes two polygons similar to each other. You'll also learn the one distinguishing aspect of similar polygons and see an example of how to compare two polygons.
12. 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.
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Other chapters within the NYSTCE CST Multi-Subject - Teachers of Middle Childhood (231/232/245): Practice & Study Guide course
- Language & Literacy Development
- Foundations of Teaching English Language Arts
- Strategies for Vocabulary Instruction
- Language Knowledge & Vocabulary
- Teaching Text Complexity & Comprehension
- Literary Devices & Meaning
- Evaluating Informational Texts
- Writing & Research Instruction
- Promoting Literacy Through Listening
- Language Arts Assessments in Early Childhood
- Rational & Real Number Systems
- Numbers & Operations
- Ratios & Proportional Number Relationships
- Algebra Foundations
- Algebra Functions & Graphs
- Solving Geometry Problems
- Data, Statistics & Graphs
- Math Instruction & Assessment
- Scientific Inquiry & Investigation
- Physical Science Basics
- Scientific Concepts for the Living Environment
- Science Modeling & Technology
- Major U.S. Historical Eras
- Role of New York in Shaping the U.S.
- Geography, Population & Climate
- Human Population Distribution Patterns
- Relationship Between Economics, Government & Politics
- Rights & Responsibilities of Citizenship in the U.S.
- Social Studies Research Skills
- Visual Arts Techniques
- Musical Arts Basics
- Performing Arts Overview
- Health, Safety & Community Awareness
- Physical Development & Activities in Early Childhood
- Childhood Development
- Consumer Economics & Personal Resource Management
- Career Development Resources
- NYSTCE CST Multi-Subject - Teachers of Middle Childhood Flashcards