GEOMETRY Recognising and drawing polygons (CLIL project part II: Materials for learners and presentation)
Luis Castel
Index
Materials for Learners Worksheets 1 to 10 Scoring Table (WS 11)
Presentation (Google docs)
3 - 12 13 14 - 29
Name:........................................... Group:................. Date: …...............
Geometry. Unit 2: Polygons
WS#1
Activity 1: Match each triangle type with its description and write your answers on the worksheet. The first one has been done for you. Triangle
Description
Answers
1. acute triangle
a. one right angle
1→f
2. equilateral triangle
b. three different sides
2→
3. isosceles triangle
c. one obtuse angle
3→
4. obtuse triangle
d. three equal sides
4→
5. right-angled triangle
e. two equal sides
5→
6. scalene triangle
f. three acute angles
6→
Activity 2: Match each description on the left with the name of the corresponding quadrilateral. The first one has been done for you.
Description
Quadrilateral Answers
7. two pairs of equal sides and four right angles
a square
7 →c
8. four equal sides and two pairs of equal angles
b trapezium
8 →
9. four different sides
c rectangle
9 →
10. four right angles and four equal sides
d rhombus
10 →
11. two parallel sides
e trapezoid
11 →
12. two pairs of equal angles and four equal sides
f rhomboid
12 →
Activity 4: Complete the sentences below using the words in the box. The first one has been done for you. 13. We use a
compass
for drawing circles.
14. If you make a mistake you can correct it with an ___________ 15. but only if you were drawing with a ________________ 16. You can’t draw a 50º degrees angle without a ________________ 17. You will need the ________________ for drawing parallel lines 18. With a ____________ you can draw straight lines and take measures
Name:........................................... Group:................. Date: ‌...............
Geometry. Unit 2: Polygons
WS#2
Activity 3: Follow the steps to draw a polygon. a) Use ruler and pencil to draw a 8 cm segment
d) Do it again from the other side
b) Take the compass and measure a 6 cm radius on the ruler
c) Place the spike of the compass on one end of the segment and draw an arc over the middle
e) Now connect the intersection of the arcs with the ends of the segment.
Your drawing goes here
What sort of polygon is this?
_______________________________
Name:........................................... Group:................. Date: …...............
Geometry. Unit 2: Polygons
WS#3
Activity 5: The pentagon and the 5-pointed star Follow the steps to complete the drawing:
1
1. Take the first circle and draw a diameter with pencil and ruler (a straight line across the middle) 2
2. You need to divide the circle in five equal
angles (360º : 5 = 72º) → Use the protractor to draw a 72º angle with the vertex in the centre
3
3. Use the compass to take the measure of the sector and “copy it” around the circle
4. Use the ruler to draw segments from every vertex to the next one. You just drew a regular pentagon
4
5. Repeat the process but this time, draw the
segments skipping one vertex to form a five-pointed star
What is the name of this polygon?
How do we call this star?
5
Name:........................................... Group:................. Date: …...............
Geometry. Unit 2: Polygons Activity 6A: Secret design Do not show these instructions to others Do not try to see instructions to others
Instructions for drawing regular polygon A 1. Take the first circle and draw a diameter with pencil and ruler (a straight line across the middle) 2. You want to divide the circle in eight equal
angles (360º : 8 = 45º) → Use the protractor to draw a 45º angle with the vertex in the centre 3. Use the compass to take the measure of the sector and “copy it” around the circle 4. Use the ruler to draw segments from every
vertex to the next one to build a regular polygon. 5. Repeat the process but this time, draw the
segments skipping two vertices to form a star
What is the name of this polygon?
How do we call this star?
WS#4
Name:........................................... Group:................. Date: …...............
Geometry. Unit 2: Polygons Activity 6B: Secret design Do not show these instructions to others Do not try to see instructions to others
Instructions for drawing regular polygon B 1. Take the first circle and draw a diameter with pencil and ruler (a straight line across the middle) 2. You want to divide the circle in ten equal
angles (360º : 10 = 36º) → Use the protractor to draw a 36º angle with the vertex in the centre 3. Use the compass to take the measure of the sector and “copy it” around the circle 4. Use the ruler to draw segments from every
vertex to the next one to build a regular polygon. 5. Repeat the process but this time, draw the
segments skipping two vertices to form a star
What is the name of this polygon?
How do we call this star?
WS#5
Name:........................................... Group:................. Date: …...............
Geometry. Unit 2: Polygons
WS#6
Activity 7: For this exercise you will work in pairs. • • • •
Before starting: take a good look at the steps in activity 6 and your drawing. DO NOT SHOW these to your partner. One partner will have to describe his/her drawing to the other. Use your own words. The other partner will try to draw it following the instructions.
Name of your partner: …....................................
What is the name of this polygon?
How do we call this star?
Name:........................................... Group:................. Date: …...............
Geometry. Unit 2: Polygons
WS#7
….............................................................. fold here....................................................
Activity 8: The contest (part one) A very popular rock band has organised a design contest. They want you to send them designs they can use for their next album cover. Use compass, protractor and ruler to design a shape containing polygons and stars in the same circle. See some examples in the presentation.
Name of your design: …..................................................................................................
Name:........................................... Group:................. Date: ‌...............
Geometry. Unit 2: Polygons
WS#8
Activity 9: Describing shapes Connect the bits in the table below to describe the designs on the presentation Then write the sentences that go with each shape. It's a
A)
blue nonagon
inside a
red 6-pointed star
inside a
blue circle
yellow circle
red 5-pointed star
yellow 9-pointed star
yellow pentagon
green 9-pointed star
blue 8-pointed star
green hexagon
orange 8-pointed star
green circle
B)
C)
D)
A) It's a .. _________________________________________________________________ _____________________________________________________________________________
B) ____________________________________________________________________________ _____________________________________________________________________________
C) ____________________________________________________________________________ _____________________________________________________________________________
D) ____________________________________________________________________________ _____________________________________________________________________________
Name:........................................... Group:................. Date: ‌...............
Geometry. Unit 2: Polygons
WS#9
‌.............................................................. fold here....................................................
Activity 10: The contest (part two) Describe your design. Use sentences to give a description of your drawing. What sort of polygons are there? what sort of stars? What colours are they? You can use the descriptions in activity 9 as an example
Name:........................................... Group:................. Date: ‌...............
Geometry. Unit 2: Polygons
WS#10
Activity 11: The contest (final part). VOTING Vote your favorite designs and find out which one is the corresponding description.
BALLOT
Favorite design
Description
check
(5 points)
[ ]
2nd
(4 points)
[ ]
3rd
(3 points)
[ ]
4th
(2 points)
[ ]
5th
(1 point)
[ ]
1st
Name:........................................... Group:................. Date: ‌...............
Geometry. Unit 2: Polygons
WS#11
Scoring table A.- Knowledge of the polygon names and characteristics. Activity 1: Number of correct answers [ ] Activity 2: Number of correct answers [ ] Activity 9: Number of correct answers [ ] Activity 11: Number of correct answers [ ] -------TOTAL [ ]
max 5 max 5 max 5 max 5
B.- Knowledge of the geometry tools names and uses. Activity 4: Number of correct answers [
] max 5
C.- Ability to follow instructions precisely No attempt or wrong polygon
Activity 3 Activity 5
[ [
] ]
Activity 6
[
]
Imprecise drawing (not regular) and or bad presentation [ ] [ ] [
]
Little imprecisions Precise drawing, and or decent nice and clean presentation presentation [ [
] ]
[ [
] ]
[
]
[
]
D.- Oral communication skills. Activity 7 No attempt
Activity 7
[
]
Incomplete, imprecise
[
Some information Complete and missing, some accurate imprecision description ]
[
]
[
]
E.- Creativity and artistic skills for the free design. No attempt
Activity 8
[
]
Use a simple design, 1 or 2 shapes. [
]
Use of 3 or more polygons and stars. Use of color . [ ]
Use of 5 or more regular polygons and stars. Use of colors and letters [ ]
F.- Written communication: No attempt
Activity 10
[
]
Incomplete, imprecise
[
Some information Complete and missing, some accurate imprecision description ]
[
]
[
]
Geometry. Unit 2: Polygons Recognising and drawing polygons
Luis Castel Institut Can Peixauet 1.4 ESO
TODAY’S MENU ★ Reminder: ○ ○
Types of triangles Types of quadrilaterals
★ Drawing Tools: ○ ○
Names of the tools Using the tools
★ Drawing Polygons and Stars
Types of Triangles I (sides)
Types of Triangles II (angles)
Activity 1: Types of Triangles Match each triangle type with its description and write your answers on the worksheet. The first one has been done for you. answers
Triangle
Description
1. acute triangle
a. one right angle
1→f
2. equilateral triangle
b. three different sides
2→
3. isosceles triangle 4. obtuse triangle
c. one obtuse angle d. three equal sides
3→ 4→
5. right-angled triangle
e. two equal sides
5→
6. scalene triangle
f. three acute angles
6→
Activity 1: Types of Triangle (Solution) Match each triangle type with its description and write your answers on the worksheet. The first one has been done for you. answers
Triangle
Description
1. acute triangle
a. one right angle
1→f
2. equilateral triangle
b. three different sides
2→d
3. isosceles triangle 4. obtuse triangle
c. one obtuse angle d. three equal sides
3→e 4→c
5. right-angled triangle
e. two equal sides
5→a
6. scalene triangle
f. three acute angles
6→b
Types of Quadrilaterals Rectangle: 4 right angles 2 pairs of equal sides
Square: 4 equal sides 4 right angles
Rhomboid: 2 pairs of equal sides 2 pairs of equal angles
Trapezoid:
Trapezium: 1 pair of parallel sides
Rhombus: 4 equal sides 2 pairs of equal angles
no parallel sides
Activity 2: Types of Quadrilaterals Exercise 2: Match each definition on the left with the name of the corresponding quadrilateral. The first one has been done for you. Description
Quadrilateral
answers
7. two pairs of equal sides and four right angles
a square
8. four equal sides and two pairs of equal angles
b trapezium
9. four different sides
c rectangle
10. four right angles and four equal sides
d rhombus
11. two paralel sides
e trapezoid
10 →
12. 2 pairs of equal angles and 2 pairs of equal sides
f rhomboid
11 →
7 →c 8 → 9 →
12 →
Activity 2: Types of Quadrilaterals
(Solution)
Exercise 2: Match each definition on the left with the name of the corresponding quadrilateral. The first one has been done for you. Description
Quadrilateral
7. two pais of equal sides and four right angles
answers
a square
7 →c
8. four equal sides and two pairs of equal angles
b trapezium
8 →d
9. four different sides
c rectangle
9 →e
10. four right angles and four equal sides
d rhombus
10 → a
11. two paralel sides
e trapezoid
11 → b
12. two pairs of equal angles and two pairs of equal sides
f rhomboid
12 → f
Geometry tools NEXT: ●
How do we call in English that “thing” we use to draw circles?
●
What is a protractor?
●
What are these “triangular rulers” called?
This and more in the next slide
Geometry tools ●
How do we call in English that “thing” we use to draw circles?
Hint: In English, we use the same word for the two instruments
Geometry tools ●
What is a protractor?
is it some kind of tractor?
The name sounds a bit like the raptor … is it a dinosaur?
Geometry tools ●
Too bad, the protractor is not a real dinosaur
What is it used for?
Geometry tools ●
What are these “triangular rulers” called?
What are they used for?
Geometry tools Ruler. We use it for: ● ●
drawing straight lines measuring distance
Compass. We use it for: ● ●
Pencil
drawing circles measuring distance
and
Eraser,
Geometry tools Protractor. We use it for: ●
measuring angles
Set squares. Triangle shaped rulers. We use them for: ● ● 45 degree set square
drawing parallels and perpendiculars drawing some angles: 90º, 45º, 30º, 60º
60 degree set square
Activity 3: Using the drawing tools a) Use ruler and pencil to draw a 8 cm segment
b) Take the compass and measure c) Place the spike of the compass on one a 6 cm radius on the ruler end of the segment and draw an arc over the midle
d) Do it again from the other side e) Now connect the intersection of the arcs with the ends of the segment. What sort of polygon is this?
Activity 4: Drawing tools Complete the sentences below the names of the appropiate drawing tools. The first one has been done for you. 13. We use a compass for drawing circles. 14. If you make a mistake you can correct it with an ___________ 15. but only if you were drawing with a ________________ 16. You can’t draw a 50º degrees angle without a ________________ 17. You will need the ________________ for drawing parallel lines 18. With a ____________ you can draw straight lines and take measures
Activity 4: Drawing tools (Solution) Complete the sentences below the names of the appropiate drawing tools. The first one has been done for you. answers 13. We use a compass for drawing circles. 13 →compass
14. If you make a mistake you can correct it with an eraser 15. but only if you were drawing with a pencil 16. You can’t draw a 50º degrees angle without a protractor
14 → eraser 15 → pencil 16 → protractor 17 → set squares
17. You will need the set squares for drawing parallel lines 18. With a ruler you can draw straight lines and take measures
Drawing Regular Polygons and Stars For this exercise you will need: ● Protractor ● Ruler ● Compass ● Pencil ● Eraser and also the worksheet
18 → ruler
Activity 5: The pentagon and the 5-pointed star 1.
Take the first circle and draw a diameter with pencil and ruler (a straight line across the middle)
2.
You need to divide the circle in five equal angles (360º : 5 = 72º) → Use the protractor to draw a 72º angle with vertex in the center
3.
Use the compass to take the measure of the sector and “copy it” around the circle
Activity 5: The pentagon and the 5-pointed star 4. Use the ruler to draw segments from every vertex to the next one. You just have drawn a pentagon
5. Repeat the process but this time, draw
the segments skiping one vertex to form a five-pointed star
Activity 6: Secret design ● ● ●
Move your desks apart from each other. You will work individually Follow the instructions on the worksheet and complete the drawings.
DO NOT show your worksheet to others DO NOT try to see the worksheets from the other students
Activity 7: working in pairs Before starting: take a good look at the steps in activity 6 and your drawing. Then, put them in a folder DO NOT SHOW the drawing to your partner. One partner will have to describe his/her drawing to the other. Use your own words. The other partner will try to draw it following the instructions.
Activity 8: The contest!!! (part one) A very popular rock band has organised a design contest. They want you to send designs they can use for their next album. Use compass, protractor and ruler to design a shape containing both polygons and stars in the same circle. Use colours!! See some examples:
Activity 9: Describing shapes Connect the bits in the table to describe the designs on the presentation Then write the sentences that go with each shape.
Activity 9: Describing shapes (Solution) A.
It’s a yellow pentagon inside a red 5-fointed star inside a green circle
B.
It’s a yellow circle inside an orange 8-pointed star inside another blue 8pointed star
C.
It’s a green hexagon inside a red 6-pointed star inside a blue circle.
D.
Its a blue nonagon inside a green 9-pointed star inside a yellow 9-pointed star
Activity 10: The contest!!! (part two) Describe your design: ●
Use sentences to give a description of your drawing.
●
What sort of polygons are there?
●
What sort of stars?
●
What colours are they?
You can use the descriptions in activity 9 as an example
Activity 11: The contest!!! (final part). VOTING ★
Take worksheets 7 and 9.
★
Make sure that your name is written on both worksheets
★
Fold back the the top of the pages across the dotted line
★
Give them to the teacher Name: Franz Kafka ----------fold here------Activity 8
Name: Franz Kafka ----------fold here------Activity 8 Activity 10
Activity 10
Description
Description
Activity 11: The contest!!! (final part). VOTING ★
Write on your ballots the code of your 5 favorite designs
★
Find out wich of the descriptions goes with these 5 and write the codes on the ballot.
Activity 10: The contest!!! (part two)
Vote your favorite designs and find out which one is the corresponding description.