Planes & Points Introduction Student Activity 1 New words Using ruler and join up points A and B, and let your pencil go beyond the two points at each.

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Presentation transcript:

Planes & Points Introduction Student Activity 1 New words Using ruler and join up points A and B, and let your pencil go beyond the two points at each end until you come to the edge of the sheet at each end. This is what we call the line AB How far can this line go? Could I draw a different line through A and B? Planes Infinity Point line AB On your sheet, mark in 10 dots anywhere at all on the page. Denote the points by capital letters A, B, C, etc Lesson interaction

Planes & Points Introduction Student Activity 1 Planes Infinity Point line AB Collinear Ray [CD New words Now mark in the point P anywhere on this line. It can be between A and B or it need not be. Since the points A, P and B are in the same (straight) line, we call them COLLINEAR points Now with your pencil and ruler, starting at C, draw in a line passing through D and going on as far as you like. This is called the HALF-LINE CD or simply the RAY [CD. Is the ray [DC the same set of points? Lesson interaction

Planes & Points Introduction Student Activity 1 New words Draw some more rays staring at C going in different directions. (Say 5 more). Remember your rays do not need to pass through any of your points. Now with your pencil and ruler join up the points E and F, this time starting at E and stopping at F. This is part of the line EF and is called the line segment [EF], since it is really part of the full line EF. A segment is a “part of”, like a segment of an orange is part of it. We name this [EF]. Notice how the square brackets show a “beginning” and an “end”. Planes Infinity Point line AB Collinear Ray [CD line segment [EF] Lesson interaction

Planes & Points Introduction Student Activity 1 New words Now, for extra practice, draw the lines GH and JI. Remember to extend your lines beyond the naming points. When you have that done, draw in the line segment [BJ] and the ray [DE. Now one last task. Use your ruler to measure the length of line segment [AB]. This is written as |AB|. Write in |AB| = “value“ on the [AB]. Planes Infinity Point line AB Collinear Ray [CD line segment [EF] Lesson interaction

Planes & Points Introduction Student Activity 1

Student Activity 1 Introduction Student Activity 1 1.Join A to C. This is [AC]. Measure the length of [AC]. Write your answer in cm. and mm. _________________. How do we name the length of [AC]?________ 2. Join D to E. This is [DE]. Measure the length of [DE]. Write your answer in cm. and mm. _________________. How do we name the length of [DE]?__________ 3. Draw line AB. 4. Draw ray [DE. 5. How big is a point?__________________________________________________

Student Activity 1 Introduction Student Activity 1 6. Write down the symbol for infinity._____________________________________ 7. How many points are on a line?________________________________________ 8. How many points do you need to know to define a line?____________________ Answer true/false to the following questions. 9. Line AB contains H.___________________________________________________ 10. Line CD contains B__________________________________________________ 11. Line AB and F lie in the same plane_____________________________________

Student Activity 1 Introduction Student Activity A, B and H are collinear______________________________________________ 13. C,D and B are collinear.______________________________________________ 14. More than one line can be drawn through E and H?_______________________ 15. More than one line can be drawn through B and D?_______________________ 16. CG intersects EG at G________________________________________________

Student Activity 1 Introduction Student Activity Points A,B,C,D,E,F,G,H all lie in the same plane which I will call X_____________ 18. Points A,B,C,D,E,F,G,H are the only points in plane X.______________________ 19. [CH is the same as [HC.______________________________________________ 20. Line AB is the same as line BA.________________________________________

Planes & Points Introduction Student Activity 1 Write down 3 things you learned about planes and points today. Write down anything you found difficult. Write down any questions you may have.