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    Home » Education » 12 Best Teaching Strategies for Teaching Geometry in 2020
    Education

    12 Best Teaching Strategies for Teaching Geometry in 2020

    Williams KinnBy Williams KinnJanuary 22, 2021Updated:November 15, 2021No Comments8 Mins Read
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    12 Best Teaching Strategies for Teaching Geometry in 2020
    12 Best Teaching Strategies for Teaching Geometry in 2020
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    Last Updated on November 15, 2021 by rida

    Geometry is a very important branch of mathematics. It is one of the most artistic parts of mathematics. By definition, geometry is a branch of mathematics that deals with shapes, lines, angles, graphs and sizes of a variety of things we see in everyday life. If not taught properly, students close the doors of a career in an extremely creative world. Hence, we need some best practices and strategies to teach this subject to students. 

    Table of Contents

    • Types of Geometry 
      • 1. Algebraic Geometry 
      • 2. Discrete Geometry 
      • 3. Differential Geometry
      • 4. Euclidean Geometry 
      • 5. Convex Geometry 
      • 6. Topology 
    • Angles in Geometry 
      • Angles have two major classifications: 
        • Types of Angles based on Magnitude 
      • Angle Types based on Rotation 
    • Strategies to Teach Geometry in 2020 
      • 1.Manipulatives
      • 2.Jigsaw 
      • 3. Index Cards 
      • 4.Pencils and Rulers 
      • 5.Rapid Fire 
      • 6.Sort Shapes 
      • 7.Shape Scrapbook 
      • 8.Shape Hunt 
      • 9.Dough, Dough, Dough your Shapes 
      • 10. Shape Sort
      • 11. Imagination 
      • 12. Spot the Shape 
    • Conclusion 

    Types of Geometry 

    There are many subtopics under the main topic of geometry. They are extremely important and have a world of applications. 

    We will see some of them below. 

    1. Algebraic Geometry 

    Algebra is an important branch in mathematics. It involves solving linear and polynomial algebraic equations. This branch of geometry has applications in fields such as cryptography, String Theory, etc. 

    2. Discrete Geometry 

    This is another term for the basics of geometry that involve points, lines, circles, triangles, etc. It involves various topics like polyhedra, polytopes, etc. Real-life applications are packing of cells, organic chemistry, etc. 

    3. Differential Geometry

    Differential geometry is a branch of geometry that deals with differentiation and integration, the soul of calculus. 

    4. Euclidean Geometry 

    This is the most commonly used branch of geometry whose application is seen every day in our lives. It is the study of solid and plane figures. It has real-life applications in computer science, architecture, crystallography, etc. 

    5. Convex Geometry 

    This is a more detailed version of Euclidean geometry that studies convex sets. It is used in optimization and functional analysis. 

    6. Topology 

    This branch of geometry deals with incidence structures that focus on lines and helps with mapping and has a world of applications in geography. 

    A very important aspect of Euclidean Geometry is plane geometry. This deals with the study of 2D shapes. 

    Two Dimensional Shapes (2D Shapes) 

    In layman terms, these are shapes that can be represented on a piece of paper. If rephrased mathematically it could be said that this is a plane shape. It is represented only on an X Y plane.

    Shape Name Sides Edges Vertices Examples
    Triangle 3 3 3 Pizza Slice, Pyramids of Giza, Road Signs
    Square 4 4 4 Chessboard, Coasters, Keys on a keyboard
    Rectangle 4 4 4 License Plates, Playing Cards, Indian Rupee Notes
    Circle 0 0 0 Coins, Pizza, Wheels
    Semi-Circle 2* 2* 2 Chinese Fans, Umbrella, Bowls
    Parallelogram 4 4 4 The neck of a Guitar, United States Postal Service Symbol
    Rhombus 4 4 4 Kites, Baseball Field, Jewellery design
    Trapezium 4 4 4 Shape of handbags, Bridge Truss Supports, Popcorn Tins

    * Semi Circles have 1 straight side/edge and 1 curved side/edge. 

    Angles in Geometry 

    Yet another extremely important aspect of geometry is the study of angles. It has its uses in trigonometry, astrology and many more important fields of study. 

    According to the definition, an angle is made of two rays that meet at a common point and the angle is formed in this vertex. The main elements that make an angle are “lines” and “vertex”.

    Note: Angles go counterclockwise from the initial line to the terminal line. Types of Angles 

    Angles have two major classifications: 

    1. Based on Magnitude 

    2. Based on Rotation 

    Types of Angles based on Magnitude 

    1. Acute Angle 

    An acute angle lies between 0° and 90°. 

    2. Obtuse Angle 

    The obtuse angle is the opposite of an acute angle. It is greater than 90° but less than 180°. 

    3. Right Angle 

    A right angle is another name for an angle that is formed by two perpendicular lines. Two perpendicular lines make an angle of 90o. 

    4. Straight Angle 

    A straight angle is an angle made by two lines overlapping each other at an angle of 180o. 5. Reflex Angle

    This is a type of angle that is greater than 180° and less than 360°. Reflex angle along with the other acute or obtuse angle makes 360o. A Reflex angle is always larger than the other angle which together makes 360o. 

    Angle Types based on Rotation 

    1. Positive Angles 

    Positive angles are measured counterclockwise from the base. Positive angles are more common in geometry. They are primarily formed in the (+x,+y) plane. 

    2. Negative Angles 

    Negative angles are those angles which are measured clockwise from the base. They are formed in the (x, -y) plane. 

    NOTE: There are two more basic types of angles which are known as complementary and supplementary angles. Complementary angles sum up to, 90°, and Supplementary angles sum up to 180°. 

    For more information on angles, please see here. 

    Geometry Formulae 

    There are hundreds of formulae involved in geometry since there are so many shapes involved. We have tried to sum up as many formulae as we could in the table below. 

    2D Shapes

    Shape Edges/Sides Vertices Perimeter Area
    Circle 1* 0 2 x π x r Π x r2
    Semi-Circle 2** 2 (Π x r) + 2 x r 0.5 x Π x r2
    Triangle 3 3 a + b + c*** 0.5 x b x h
    Square 4 4 4 x a a2
    Rectangle Parallelogram4 4 2 x (a + b) a x b

    *Circle has one curved edge. 

    ** Semi Circle has one curved edge and one straight edge 

    *** a, b, c, d are lengths of a quadrilateral 

    r: Radius of a circle 

    a, b, c, d: Lengths of Edges of a Shape 

    3D Shapes

    Shape Edges/Sides Faces Vertices Area Volume
    Cube 12 6 8 6 x a2 a3
    Cuboid 12 6 8 2(lw +lh+hw) L x b x h
    Prism 9 5 6 (p x h) + (2 x b) B x h
    Cone 1 2 1 Π x r (r + (h2+r2)0.5) Π x r2 x (h/3)
    Cylinder 2 3 0 (2 x Π x r x h) + ( 2 x Π x r2) Π x r2 x h
    Pyramid 8 5 5 (12 x p x l) + B (l x w x h)/3

    r: Radius of a Circle 

    a: Length of a side of a cube 

    l, w, h: Length, Width, and Height of a Rectangle 

    B: Area of a Base 

    p: Perpendicular of a Prism/Pyramid 

    h: Height of a Prism/Pyramid 

    Cuemath knows the importance of understanding a concept. Each tutor in the Cuemath team has a world of experience dealing with children from all backgrounds and calibres. Irrespective of the student’s level of interest in math, Cuemath’s one-on-one sessions will make every student master the subject. Enrol your child in the perfect Math Program with Cuemath. 

    Read More: Some Basic Cinematography Techniques Every Aspiring Filmmaker Should Know

    Strategies to Teach Geometry in 2020 

    1.Manipulatives

    This is a common method to learn various types of shapes. It involves a cardboard piece, some thumbtacks, and strings. The goal is to form as many shapes as possible using the string and the thumbtacks in a uniform arrangement. 

    2.Jigsaw 

    Puzzles are a good way to learn many concepts, not only geometry. It teaches planning, prediction, and gives children a good idea about the shapes. 

    3. Index Cards 

    Make index cards with all formulae involved in Geometry and help students revise from these. They are compact and make the subject seem less intimidating. 

    4.Pencils and Rulers 

    This is a game that involves students making many shapes with the stationery that is easily available. This is a fun game that can make the lesson exciting. 

    5.Rapid Fire 

    A series of questions are asked in a short period of time and tests children’s’ quick and perfect responses.

    6.Sort Shapes 

    There are tools available online which students can use to sort shapes into appropriate slots. This gives them a sense of shapes, sizes, area, volume, and depth. 

    7.Shape Scrapbook 

    A scrapbook of all the possible shapes that the kids see around them every day. An entire book that shows off their observations found in a day. 

    8.Shape Hunt 

    This is a game where students are expected to find shapes all over their house. The sooner they find the correct shape, they win. 

    9.Dough, Dough, Dough your Shapes 

    Playdough is something that has been entertaining children for years. It helps kids in various ways. If shown how to use the right way, play dough can be highly educational. 

    10. Shape Sort

    This is a game where children sort things around the house by their shapes. It helps kids to learn as well as have fun. 

    11. Imagination 

    All human beings are a combination of shapes. Help kids figure this out and watch them draw the funniest combinations of shapes. 

    12. Spot the Shape 

    Animated movies are the best way to take this game forward. While watching the movie, suddenly pause it and ask kids to jolt down the various shapes they can observe. 

    Conclusion 

    Hope you find this article useful! I am sure the pointers listed about will help in an exciting journey for you and your kids/students.

    Share. Facebook Twitter Pinterest LinkedIn Tumblr WhatsApp Email
    Williams Kinn

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