BASIC CONCEPTS and TERMS in GEOMETRY Let us recall some of the common shapes... 2 1. What do these shapes have in common? 2. How many corners does shape 1 have? Shape 2? Shape 3? Shape 4? 3. In each shape, what connects one corner to the other? 4. How do we call the intersection of one side to the other? 3 “BAG RAID!!!!” 1. Classify your items as points, lines, or planes. a. How did you classify the items as points, lines, or planes? b. How do you describe a point, a line, or a plane? 4 GROUP ACTIVITY Geometric idea Shows location POINT No size/dimensions Straight path, no ending Extends in two opposite directions Description Model LINE Contains infinite points Flat surface PLANE • 5 Arrange the highlighted letters to form the word being described. Anagram Description 1. NILE It has no width and no thickness but can be extended infinitely in opposite directions 2. TOPIN It has no dimension and usually represented by a dot. 3. NAPLE It is a flat surface that extends infinitely in all directions. Word Formed Model 6 Name and identify the points, lines, and planes in the figure. B A C •H •F •G D E 7 Term Figure Point •A Line J • Plane D • m •Z •Y A •X Description Notation A point suggests an exact location in space, has no dimension, uses capital letter to name it point A A line is a set of points arranged in a row. It is extended endlessly in both directions and a one-dimensional figure. Two points determine a line, that is, two distinct points are contained by exactly one line. We use lowercase letter or any two points on the line to name a line. line m or A plane is a set of points in an endless flat surface, uses an uppercase letter script letter, such as A, or three points on the plane to name it. The following determine a plane: (a) 3 non-collinear points; (b) 2 intersecting lines; (c) 2 parallel lines; (d) a line and a point not on the line JD plane A , plane XYZ, or XYZ 8 Exercise 1: Tell whether the following is a representation of a point, a line, or a plane 1. 2. 3. 4. 5. Grain of sand Chalkboard Strand of hair Tip of pencil Thread 1. 2. 3. 4. 5. Point Plane Line Point Line 9 Study the following pictures. 10 Can you cite some importance of understanding the use of points, lines, and planes? 11 Let’s weigh how much you’ve gain in this session... 1. 2. 3. How will you represent a point? How will you represent a line? How will you represent a plane? 12 Assignment 1. 2. List down at least 3 objects found at home and community that represents points, lines, and planes. Draw a figure and identify the points, lines, and planes. 13 THANK YOU!!! 14 Let’s review some concepts Yellow Blue Red Is the color of gold, butter and ripe lemons. In the spectrum of visible light, yellow is found between green and orange. Is the colour of the clear sky and the deep sea. It is located between violet and green on the optical spectrum. Is the color of blood, and because of this it has historically been associated with sacrifice, danger and courage. Yellow Blue Red Is the color of gold, butter and ripe lemons. In the spectrum of visible light, yellow is found between green and orange. Is the colour of the clear sky and the deep sea. It is located between violet and green on the optical spectrum. Is the color of blood, and because of this it has historically been associated with sacrifice, danger and courage. 15 4000 3000 2000 1000 0 You can insert graphs from Excel or Google Sheets 16 Mobile project Show and explain your web, app or software projects using these gadget templates. 17 Tablet project Show and explain your web, app or software projects using these gadget templates. 18 Desktop project Show and explain your web, app or software projects using these gadget templates. 19 Thanks! Any questions? You can find me at: ✗ ✗ @username user@mail.me 20 Credits Special thanks to all the people who made and released these awesome resources for free: ✗ Presentation template by SlidesCarnival ✗ Photographs by Death to the Stock Photo (license) 21 Presentation design This presentation uses the following typographies: ✗ Titles: Inconsolata ✗ Body copy: Pangolin You can download the fonts on these pages: https://www.fontsquirrel.com/fonts/inconsolata https://www.urbanfonts.com/fonts/Pangolin.font You don’t need to keep this slide in your presentation. It’s only here to serve you as a design guide if you need to create new slides or download the fonts to edit the presentation in PowerPoint® 22 2. Extra Resources For Business Plans, Marketing Plans, Project Proposals, Lessons, etc Timeline Blue is the colour of the clear sky and the deep sea Red is the colour of danger and courage Black is the color of ebony and of outer space Yellow is the color of gold, butter and ripe lemons Blue is the colour of the White is the color of milk clear sky and the deep and fresh snow sea JAN MAR MAY JUL SEP FEB Yellow is the color of gold, butter and ripe lemons APR JUN White is the color of milk Blue is the colour of the and fresh snow clear sky and the deep sea AUG Red is the colour of danger and courage OCT NOV Black is the color of ebony and of outer space DEC Yellow is the color of gold, butter and ripe lemons 24 Roadmap Blue is the colour of the clear sky and the deep sea Red is the colour of danger and courage 1 Black is the color of ebony and of outer space 3 5 2 4 6 Yellow is the color of gold, butter and ripe lemons White is the color of milk and fresh snow Blue is the colour of the clear sky and the deep sea 25 Gantt chart Week 1 1 2 3 4 Week 2 5 6 7 8 9 10 11 12 13 14 Task 1 Task 2 ◆ Task 3 Task 4 Task 5 ◆ ◆ Task 6 Task 7 Task 8 26 SWOT Analysis STRENGTHS WEAKNESSES Blue is the colour of the clear sky and the deep sea Yellow is the color of gold, butter and ripe lemons Black is the color of ebony and of outer space White is the color of milk and fresh snow OPPORTUNITIES THREATS 27 Business Model Canvas Key Partners Key Activities Value Propositions Customer Relationships Customer Segments Insert your content Insert your content Insert your content Insert your content Insert your content Key Resources Channels Insert your content Insert your content Cost Structure Revenue Streams Insert your content Insert your content 28 Funnel AWARENESS Insert your content DISCOVERY Insert your content EVALUATION Insert your content INTENT Insert your content PURCHASE Insert your content LOYALTY Insert your content 29 Team Presentation Imani Jackson Marcos Galán Ixchel Valdía Nils Årud Blue is the colour of the clear sky and the deep sea Blue is the colour of the clear sky and the deep sea Blue is the colour of the clear sky and the deep sea Blue is the colour of the clear sky and the deep sea JOB TITLE JOB TITLE JOB TITLE JOB TITLE 30 Competitor Matrix HIGH VALUE 2 Competito r Comp etitor Our company Competitor LOW VALUE 1 HIGH VALUE 1 Competito r Competito r Competitor LOW VALUE 2 31 Weekly Planner SUNDAY MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY SATURDAY 09:00 - 09:45 Task Task Task Task Task Task Task 10:00 - 10:45 Task Task Task Task Task Task Task 11:00 - 11:45 Task Task Task Task Task Task Task 12:00 - 13:15 ✔ Free time ✔ Free time ✔ Free time ✔ Free time ✔ Free time ✔ Free time ✔ Free time 13:30 - 14:15 Task Task Task Task Task Task Task 14:30 - 15:15 Task Task Task Task Task Task Task 15:30 - 16:15 Task Task Task Task Task Task Task 32 SlidesCarnival icons are editable shapes. This means that you can: ● Resize them without losing quality. ● Change fill color and opacity. Isn’t that nice? :) Examples: 33 Diagrams and infographics 34 You can also use any emoji as an icon! And of course it resizes without losing quality. How? Follow Google instructions https://twitter.com/googledocs/status/730087240156643328 ✋👆👉👍👤👦👧👨👩👪💃🏃💑❤😂 😉😋😒😭👶😸🐟🍒🍔💣📌📖🔨🎃🎈 🎨🏈🏰🌏🔌🔑 and many more... 35