ABCs of Geometry

Unlock the Shapes of Success!

ABCs of Geometry

Unlock the Shapes of Success!

Dive into the captivating world of geometry and let it transform your view of the universe. Imagine every building, art piece, and natural wonder around you, and then picture yourself decoding their mysteries with ease. Our course isn't just about learning geometry--it's about experiencing it. You'll gain insights that bridge the gap between abstract shapes and real-world applications, unlocking new perspectives in both personal and professional realms. Join like-minded learners on a journey where geometry becomes a dynamic tool for creativity and problem-solving. Elevate your understanding, sharpen your perception, and prepare to see the world through a fresh, geometric lens. Enroll now and start transforming the ordinary into the extraordinary.

Self Paced • Online Class • Accredited CEUs

$120

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OVERVIEW

CURRICULUM

ABCs of Geometry

CRN: 9770447

Lesson 1. Geometry Unveiled: Everyday Angles and Structures

From infants recognizing shapes to architects shaping skylines, geometry is a fundamental constant in our environment. Lines, angles, and patterns shape our world, offering not only aesthetic appeal but also functionality and structural integrity.

Lesson 2. Exploring the World of Shapes: A Comprehensive Introduction to Geometry

Geometry starts with identifying shapes like squares and circles, which differ in linearity and angularity, and uses classification to uncover common geometric principles. Understanding prefixes enhances the ability to identify and derive insights about various polygons and their properties.

Lesson 3. Understanding Tessellations

Patterns such as AB and ABC are fundamental in understanding repetitions of shapes and colors. Tessellations use closed, non-overlapping shapes to cover surfaces fully, seen in examples like mosaic pictures, with vital angles adding up to 360 degrees.

Lesson 4. Balancing Beauty: The Role of Symmetry in Design and Nature

In geometry, symmetry refers to the condition wherein a shape can be split into identical halves by an imaginary line, offering an unchanged aesthetic or structural relationship. This concept extends into rotational symmetry, where an object's appearance remains constant despite its orientation change.

Lesson 5. Exploring the Geometric World of Pentominoes

Engaging with pentominoes involves mastering the art of designing five-square shapes on a grid, shaping a fun learning experience in logic and spatial reasoning. Players delve into challenges like the thirteen holes game, testing their ability to strategically manipulate shapes under specific rules.

Lesson 6. 3D Geometry Explained

A shapely exploration of dimensions, the lesson elaborates how tangrams embody playful two-dimensional puzzles, while highlighting the dimensionally enriched architectural models that portray houses through three-dimensional representations. Through polyhedrons, different faces, edges, and vertices converge, showcasing the various geometric possibilities.

Lesson 7. Around the World of Polygons: Mastering Perimeter

Perimeter refers to the total distance around a polygon, measured in linear units like inches and meters, highlighting its one-dimensional nature around a two-dimensional shape. Calculating perimeter involves summing up the individual side lengths, and for regular polygons like a square, multiplying one side length by the number of equal sides can simplify this process.

Lesson 8. Discovering Shape Dimensions: From Perimeter to Area

The area of a shape measures the extent of space it occupies using calculated methodologies. Familiarity with formulas like Length x Width for rectangles or 1/2(Base x Height) for triangles enables precise area calculations.

Lesson 9. Unlocking the Secrets of If-Then Logic in Mathematics and Beyond

The concept of conditional if-then statements in mathematics offers a structured approach to reasoning, crucial for both defining geometrical relationships and executing logical operations in algebra. Beyond mathematics, such deductive reasoning is integral to the functionality of computer programs, facilitating responses to user interactions.

Lesson 10. Surface Area and Volume: Practical Applications for Everyday Scenarios

Explore how to find surface areas and volumes of common shapes like cubes and cylinders using straightforward formulas. Master these calculations to efficiently tackle everyday challenges involving space and capacity management.

Lesson 11. The Geometry of Movement: Fundamentals of Translations, Reflections, Rotations

Lesson Summary 3: Shapes maintain their essential properties despite being flipped, slid, or turned through transformations such as translations and rotations. This consistent behavior underpins the concept of symmetry, particularly in repetitive patterns like tessellations.

Lesson 12. Classifying Shapes: From Quadrangles to Parallelograms

Inductive reasoning helps develop hypotheses by observing patterns but lacks the factual certainty deductive reasoning provides, especially in shape classification. Geometry requires understanding shape criteria and verified axioms for accurate classification and proof development.

Lesson 13. Mastering Geometric Proofs and Abstract Reasoning

Understanding the role of axioms, postulates, and undefined terms is essential for constructing geometric proofs, facilitating the development of theorems. Through logical reasoning and trial and error, students can establish consistent methods for solving proofs.

Lesson 14. Understanding Geometry in the Natural and Synthetic Universe

Sacred geometry, based on nature's inspiring patterns, reflects cultural values and beliefs through its incorporation into human constructions. Analytical use of geometry in visualization, maps, and theoretical applications helps us navigate the complexities of the visible and imagined universe.

Lesson 15. Unlocking the Geometry in Everyday Occupations

The medical field employs geometry in imaging technologies like MRIs and CAT scans, using spatial concepts to map the human body in three dimensions. Drug research further leverages geometric models to study molecular shapes, improving disease treatment strategies.

In This Course

8 Hours average completion time
0.8 CEUs
15 Lessons
23 Exams & Assignments
15 Videos
16 Reference Files
Mobile Friendly
Last Updated January 2024

Description

Mastering Geometry: Deciphering the Language of Shapes and Spaces

Geometry, the branch of mathematics that explores the nuances of shapes and spaces, is not just confined to textbooks. It permeates our daily life, influencing everything from architectural marvels to intricate art patterns. This course is designed to immerse learners into the dynamic world of geometry, helping them not only understand its core concepts but also appreciate its ubiquitous presence in our surroundings.

Course Essence

Spanning a meticulously crafted curriculum, this course aims to transcend beyond theoretical knowledge. Through engaging readings, interactive lessons, challenging quizzes, and avenues for independent exploration, students are facilitated to develop a holistic understanding of geometry. Furthermore, an array of curated websites will augment the learning experience, allowing students to delve deeper into specific topics at their own pace.

By the culmination of this course, students will possess a robust foundation in geometric principles, enabling them to decipher the world through a geometrical lens. They will hone the ability to:

Perceive Geometry's Daily Implications: Recognize how geometry seamlessly integrates into various professions, the universe, our homes, and even the synthetic constructs of our world.
Identify Geometric Figures: From basic shapes like triangles and rectangles to more complex forms such as kites and prisms, students will become adept at naming and visualizing a plethora of figures.
Analyze Properties of Shapes: Delving deeper, students will discern the intricate properties that define each shape - right angles, parallel sides, number of corners, and more.
Establish Relationships Between Figures: Develop the acumen to deduce relationships between different shapes. For instance, understanding how every rectangle is essentially a parallelogram characterized by a right angle.
Adopt a Deductive Geometric Mindset: Progressing through the Van Hiele levels of geometric thought, students will cultivate the skill to reason and deduce geometric concepts, paving the way for rigorous proofs.

Course Roadmap

Lesson 1 - Geometry in Our World: Initiating the journey by illuminating the omnipresence of geometry in our surroundings.
Lesson 2 - Learning All About Shapes: An extensive exploration of various geometric figures and their distinguishing features.
Lesson 3 - Tessellations: Discover the mesmerizing patterns formed by repeating shapes without any overlaps or gaps.
Lesson 4 - Symmetry: Dive into the world of balanced proportions and understand the harmony in geometric figures.
Lesson 5 - Pentominoes: Venture into the realm of geometric puzzles and their intriguing configurations.
Lesson 6 - Three Dimensional Shapes: Elevate the learning from 2D to 3D, unraveling the complexities of spatial figures.
Lesson 7 - Perimeter: Grasp the concept of boundaries and their measurements.
Lesson 8 - Area: Delve into the space enclosed within geometric boundaries.
Lesson 9 - If-Then Statements: Master the foundational logic statements pivotal for geometric proofs.
Lesson 10 - Area of Three-Dimensional Objects: Measure the space occupied by 3D entities.
Lesson 11 - Translations, Reflections, Rotations: Understand the transformative actions that can alter a shape's position or orientation without changing its form.
Lesson 12 - Classifying Shapes by Properties: Learn to categorize shapes based on inherent characteristics.
Lesson 13 - Proofs and Abstract Thinking in Geometry: Harness abstract thought processes to validate geometric concepts.
Lesson 14 - Geometry in Our Universe: Marvel at how the cosmos is a magnificent testament to geometric principles.
Lesson 15 - Geometry in Professions: Realize the indispensable role of geometry in various vocations, from architecture to design.

Steer Your Curiosity into Mastery

Geometry is more than a subject; it's a lens to perceive the intricacies of our world. Whether you're a student aiming for academic excellence, an enthusiast curious about the world's designs, or a professional seeking to integrate geometric principles into your work, this course promises to be an enlightening experience. Unveil the secrets of shapes and spaces and recognize the symphony of geometry echoing throughout our universe.

Skills You'll Develop

Spatial reasoning and visualization
Analytical thinking and deductive reasoning
Ability to interpret geometric representations
Insight into geometry's role in professions
Proficiency in shape classification
Understanding of symmetry in design
Geometric problem-solving skills
Mastery of geometric transformations
Comprehension of mathematical logic
Knowledge of perimeter
area
and volume calculations

Skills You'll Develop

Spatial reasoning and visualization
Analytical thinking and deductive reasoning
Ability to interpret geometric representations
Insight into geometry's role in professions
Proficiency in shape classification
Understanding of symmetry in design
Geometric problem-solving skills
Mastery of geometric transformations
Comprehension of mathematical logic
Knowledge of perimeter
area
and volume calculations

More About This Course

Appreciate Geometry Globally and Historically: Discover its role in culture and science.
Learn Through Engaging Lessons: Interactive and challenging coursework.
Perceive Geometry's Daily Implications: See geometry in everyday life and professions.
Unlock Practical Applications: Apply concepts to real-world scenarios.
Master Symmetry and Balance: Appreciate harmony in geometric design.
Elevate to Three-Dimensional Understanding: Explore beyond 2D into 3D shapes.
Analyze Shape Properties: Grasp unique attributes like angles and sides.
Master Geometry's Core Principles: Understand foundational concepts intuitively.
Identify Geometric Figures: Name and visualize basic and complex shapes.

What You'll Achieve

Identify and describe five items in both nature and man-made environments that exhibit unique geometric patterns not previously mentioned.
Analyze a digital picture of a home to identify its geometric aspects, using specific terms like angles, lines, curves, and shapes.
Identify and classify two-dimensional shapes based on their characteristics such as the number of sides, angles, and presence of curves or parallel lines.
Recognize and apply geometric prefixes to determine the properties and names of polygons, analyzing their meanings to infer side quantities and shape characteristics.
Recognize and classify different types of tessellations, including regular and semiregular, by analyzing patterns and polygon arrangements.
Create a tessellation using a word processing program and accurately label it as regular or semiregular based on its geometric properties.
Identify and describe at least three types of symmetry in geometric shapes, including reflectional symmetry and rotational symmetry.
Demonstrate the ability to find and draw lines of symmetry on various objects, including geometric shapes and alphabetic characters, using appropriate tools and techniques.
Define and identify all twelve distinct pentomino shapes based on their geometrical configurations and label them using their standard letter names.
Demonstrate the ability to arrange the twelve pentomino pieces on a six by ten grid to completely cover all sixty squares without overlaps.
Recognize and differentiate between two-dimensional and three-dimensional shapes by identifying their properties, such as length, width, and height.
Demonstrate understanding of geometric solids by identifying and counting the number of faces, edges, and vertices on common three-dimensional shapes like cubes and prisms.
Demonstrate the ability to calculate the perimeter of various polygons by summing the lengths of their sides.

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What Others Are Saying

"Extraordinarily Helpful"

★★★★★

I thought the most helpful was the part that explained about the faces, edges, and different shapes.

Amanda F.

"Extraordinarily Helpful"

★★★★★

I flunked 7th and 8th grade math. learned what I should have learned in this course. Thanks, just thanks.

Irene T.

"Extraordinarily Helpful"

★★★★★

As an introductory course I think the course was above excellent and a very high quality teacher. I liked the methodology used to teach geometry because it clarified a lot of areas for me. The course was structured so that I could learn the concepts and not worry too much about performance. I have to admit that this is the first math/science class that I have thoroughly enjoyed.

Francisco M.

"Extraordinarily Helpful"

★★★★★

I found the whole program to be helpful. It gave me a better understanding of geometry and the world of geometry.

Alexis B.

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