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Welcome to Geometry Course: Planes, Points, and Lines

Join us for an engaging geometry course covering important math skills, geometry concepts, and study skills. Explore planes, points, and lines through interactive tasks and problem sets. Get ready to excel in geometry!

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Welcome to Geometry Course: Planes, Points, and Lines

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Presentation Transcript

  1. Agenda for today • Welcome • Important background skills • Tour of library, bookstore • New topic: Plane • New topic: Point • New topic: Line

  2. Welcome • Registration list • Syllabus • Daily routine • Your questions about the course • A little about you • Course overview

  3. A Little about You • 2 things: print your name and put your logo (or signature) • ‘Anything you’d like me to know? • ‘Any concerns (about math, etc.)?

  4. A Little more about You • What do you want to do in the long-term for moolah? • Optional, but helpful to me: • What is your home school? • What electives are you in? • What are some hobbies/interests?

  5. Overview of Geometry Plane Point Line Angle Flat (2-D) Shapes Solids (3-D)

  6. Geometry in Architecture

  7. Important Math Skills • Recall of multiplication facts • Operating on fractions • Solving an algebra equation • Using the “order of operations”

  8. 1) Find the product of…

  9. 2) Find the product of…

  10. 3) Find the product of…

  11. 4) Add these fractions…

  12. 5) Multiply these fractions…

  13. 6) Solve these equations

  14. 7) Evaluate these…

  15. 8) "I've got these covered…" • (Multiplication facts) • (Working with fractions) • (Solving equations) • (Doing operations in right order)

  16. Solve an Equation… • Isolate the “variable term” • Divide both sides by the variable’s coefficient • Check your solution What you change on one side, Change also to the other

  17. The Order of Operations… • Grouping symbols • Exponents and roots • Multiplication and division • Addition and subtraction

  18. Important Study Skill • Taking notes

  19. Tour of Campus • Bookstore • Supplies • Snacks • Library • Photocopier • Free printing (PowerPoint slides) • Coffee Shop

  20. Topic: Plane • Is the flat “field of play” for anything 2-D • Can be labeled as a coordinate plane

  21. Plane (continued) • How many planes are present in the surfaces of this solid?

  22. Plane (continued) • How many planes are present in the surfaces of this solid?

  23. Plane TASKS • Draw a neat coordinate plane • Label the axes (X and Y) • If given a labeled coordinate plane, interpret the scale Complete the FIRST PROBLEM SET*

  24. *Problem Sets • These will be completed during class. (I will give points for the day’s problem set before you leave each day, and each day’s assignment is worth 3% of your final grade) • This is a time to get help!

  25. Topic: Point • Is a location somewhere in the plane • Is pretty unimportant when alone; but when you connect it with another, you start making other stuff • Can represent meaningful data

  26. Point (continued) • Is also known as a coordinate • Has a location described by two #s one for its location on the X axis one for its location on the Y axis • Looks like this: (#, #)

  27. Demo: Points as Data Let X represents time Let Y represent distance

  28. PointTASKS • If given a coordinate, find and draw (“plot”) the point For example, draw the point (-5, 7) • If shown a point in the coordinate plane, write the coordinate Complete the SECOND PROBLEM SET

  29. Break time again… • Entertainment options: Puaattacks -OR- (Mystery Box)

  30. Topic: Line • Is straight and goes on forever! • Passes through a lot of points • Has distance or length • Can you think of anything that is actually a true line in reality?

  31. Line (continued) • Is related to a ray • Is also related to a line segment

  32. Line (continued) • Which do you see here?

  33. Line (continued) • Which do you see here? Complete the THIRD PROBLEM SET

  34. Line (continued) • In the coordinate plane, it… is described by two traits slope (rise/run) y-intercept has an equation y=mx+b

  35. Line TASKS • Identify lines, rays, and segments • If given a line on a coordinate plane, find its equation • If given an equation, draw the line it describes Complete the FOURTH PROBLEM SET

  36. For the rest of the time… • Complete the FIFTH PROBLEM SET • Complete the SIXTH PROBLEM SET • Show me when you’re done and I will check today’s assignment • Fill-in your check-in sheet for today

  37. Daily Check-in Sheets • I want to know how confident you feel about each topic before you leave for the day • I will respond to your questions next class

  38. Today's tunes • Salif Keita - La différence • Metallica – Call of Ktulu • Edward Weiss – Ocean Piano

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