Clil geometry worksheets presentation

GEOMETRYRecognising and drawing polygons

(CLIL project part II: Materials for learners and presentation)

Luis Castel

Index

Materials for Learners

Worksheets 1 to 10 3 - 12

Scoring Table (WS 11) 13

Presentation (Google docs) 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

1. acute triangle

2. equilateral triangle

3. isosceles triangle

4. obtuse triangle

5. right-angled triangle

6. scalene triangle

Description

a. one right angle

b. three different sides

c. one obtuse angle

d. three equal sides

e. two equal sides

f. three acute angles

Answers

1 → f

2 →

3 →

4 →

5 →

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

7. two pairs of equal sides and four right angles

8. four equal sides and two pairs of equal angles

9. four different sides

10. four right angles and four equal sides

11. two parallel sides

12. two pairs of equal angles and four equal sides

Quadrilateral

a square

b trapezium

c rectangle

d rhombus

e trapezoid

f rhomboid

Answers

7 → c

8 →

9 →

10 →

11 →

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: …...............


Activity 3: Follow the steps to draw a polygon.

a) Use ruler and pencil to draw a 8 cm segment

b) Take the compass and measure a 6 cm radius on the ruler

c) Place the spike of the compass on one end of thesegment and draw an arc over the middle

d) Do it again from the other side

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: …...............


Activity 5: The pentagon and the 5-pointed star

Follow the steps to complete the drawing:

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 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. You just drew a regular pentagon

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?

1

2

3

4 5

Name:........................................... Group:................. Date: …...............


Activity 6A: Secret design

Do not show these instructions to othersDo not try to see instructions to others

Instructions for drawing regular polygon A


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


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


Name:........................................... Group:................. Date: …...............


Activity 6B: Secret design

Do not show these instructions to othersDo not try to see instructions to others

Instructions for drawing regular polygon B


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


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


Name:........................................... Group:................. Date: …...............


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: …....................................


Name:........................................... Group:................. Date: …...............


…..............................................................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: …...............


Activity 9: Describing shapes

Connect the bits in the table below to describe the designs on the presentationThen write the sentences that go with each shape.

It's a blue nonagon

yellow circle

yellow pentagon

green hexagon

inside a red 6-pointed star

red 5-pointed star

green 9-pointed star

orange 8-pointed star

inside a blue circle

yellow 9-pointed star

blue 8-pointed star

green circle

A) B) C) D)

A) It's a .. _________________________________________________________________

_____________________________________________________________________________

B) ____________________________________________________________________________

_____________________________________________________________________________

C) ____________________________________________________________________________

_____________________________________________________________________________

D) ____________________________________________________________________________

_____________________________________________________________________________

Name:........................................... Group:................. Date: …...............


…..............................................................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: …...............


Activity 11: The contest (final part). VOTING

Vote your favorite designs and find out which one is thecorresponding description.

BALLOT Favorite design

Description check

1st (5 points) [ ]2nd (4 points) [ ]3rd (3 points) [ ]4th (2 points) [ ]5th (1 point) [ ]

Name:........................................... Group:................. Date: …...............


Scoring table

A.- Knowledge of the polygon names and characteristics.

Activity 1: Number of correct answers [ ] max 5




--------TOTAL [ ]

B.- Knowledge of the geometry tools names and uses.


C.- Ability to follow instructions precisely

No attempt or wrong polygon

Imprecise drawing (not regular) and or bad presentation

Little imprecisionsand or decent presentation

Precise drawing, nice and clean presentation

Activity 3 [ ] [ ] [ ] [ ]Activity 5 [ ] [ ] [ ] [ ]

Activity 6 [ ] [ ] [ ] [ ]

D.- Oral communication skills. Activity 7

No attempt Incomplete, imprecise

Some informationmissing, some imprecision

Complete and accurate description

Activity 7 [ ] [ ] [ ] [ ]

E.- Creativity and artistic skills for the free design.

No attempt 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

Activity 8 [ ] [ ] [ ] [ ]

F.- Written communication:

No attempt Incomplete, imprecise

Some informationmissing, some imprecision

Complete and accurate description

Activity 10 [ ] [ ] [ ] [ ]

Geometry. Unit 2: PolygonsRecognising and drawing polygons

Luis CastelInstitut 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.

Triangle Description1. acute triangle a. one right angle

2. equilateral triangle b. three different sides

3. isosceles triangle c. one obtuse angle

4. obtuse triangle d. three equal sides

5. right-angled triangle e. two equal sides

6. scalene triangle f. three acute angles

answers

1 → f

2 →

3 →

4 →

5 →

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.

Triangle Description1. acute triangle a. one right angle

2. equilateral triangle b. three different sides

3. isosceles triangle c. one obtuse angle

4. obtuse triangle d. three equal sides

5. right-angled triangle e. two equal sides

6. scalene triangle f. three acute angles

answers

1 → f

2 → d

3 → e

4 → c

5 → a

6 → b

Types of Quadrilaterals

Rhomboid:

2 pairs of equal sides2 pairs of equal angles

Rectangle:4 right angles2 pairs of equal sides

Rhombus:4 equal sides2 pairs of equal angles

Trapezium:1 pair of parallel sides

Trapezoid:no parallel sides

Square:4 equal sides4 right angles

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.

Description7. two pairs of equal sides and four right angles




11. two paralel sides

12. 2 pairs of equal angles and 2 pairs of equal sides

answers

7 → c

8 →

9 →

10 →

11 →

12 →

Quadrilaterala square

b trapezium

c rectangle

d rhombus

e trapezoid

f rhomboid

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.

Description7. two pais of equal sides and four right angles




11. two paralel sides

12. two pairs of equal angles and two pairs of equal sides

answers

7 → c

8 → d

9 → e

10 → a

11 → b

12 → f

Quadrilaterala square

b trapezium

c rectangle

d rhombus

e trapezoid

f rhomboid

Geometry toolsNEXT:● 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:● drawing circles● measuring distance

Pencil and

Eraser,

Geometry toolsProtractor. We use it for:

● measuring angles

Set squares. Triangle shaped rulers.We use them for:

● drawing parallels and perpendiculars● drawing some angles: 90º, 45º, 30º, 60º

45 degree set square

60 degree set square

Activity 3: Using the drawing tools

a) Use ruler and pencil

to draw a 8 cm segmentb) 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 midle

d) Do it again from the other sidee) 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.


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.


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

17. You will need the set squares for drawing parallel lines

18. With a ruler you can draw straight lines and take measures

answers

13 →compass

14 → eraser

15 → pencil

16 → protractor

17 → set squares

18 → ruler

Drawing Regular Polygons and Stars

For this exercise you will need:● Protractor● Ruler● Compass● Pencil● Eraser

and also the worksheet


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


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 othersDO 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 presentationThen 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 8-pointed 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 Activity 8

Name: Franz Kafka

----------fold here-------

Activity 10

Description

Activity 10

Description

★ 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 11: The contest!!! (final part). VOTING

Activity 10: The contest!!! (part two)

Vote your favorite designs and find out which one is the corresponding description.

Clil geometry worksheets presentation

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