1. The document provides materials for teaching geometry concepts like perimeter and area to students. It includes 10 lessons with objectives, activities, and worksheets.
2. The lessons have the students identify and compare squares and rectangles, measure the sides of objects to calculate perimeter and area, and do a group project measuring and calculating values for rooms in their school.
3. The materials include assessments to evaluate student understanding of perimeter, area, and applying these concepts to real-world examples.
This lesson on square numbers describes what a square number is. The lesson also includes a brief exercise where you identify the square numbers in the table.
This lesson on square numbers describes what a square number is. The lesson also includes a brief exercise where you identify the square numbers in the table.
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The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
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A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
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Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
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1. GRUP D’EXPERIMENTACIÓ PER AL PLURILINGÜISME
1
Àrea: Maths Autoria: MªJesús Sanchez Març 2016
Material elaborat durant la realització de la formació adreçada als docents que implementen el
pilotatge del GEP (Grup d’Experimentació per al Plurilingüisme) durant el curs 2015-2016,
realitzada amb el/la formador/a del OUP, Rachel Mary Playfair.
SG de Llengua i Plurilingüisme
Servei de Llengües Estrangeres
Els continguts d’aquesta publicació estan subjectes a una llicència de Reconeixement-No comercial-Compartir 3.0 de
Creative Commons. Se’n permet còpia, distribució i comunicació pública sense ús comercial, sempre que se n’esmenti
l’autoria i la distribució de les possibles obres derivades es faci amb una llicència igual que la que regula l’obra original.
La llicència completa es pot consultar a:
http://creativecommons.org/licenses/by-nc-sa/3.0/es/deed.ca
TÍTOL: GEOMETRY: PERIMETER AND AREA
2. GRUP D’EXPERIMENTACIÓ PER AL PLURILINGÜISME
2
1. You will learn the difference between solid shapes and plane shapes.
2. You will observe and identify squares and rectangles all over our
classroom.
3. You will learn what’s the difference between a rectangle and a
square.
4. You will learn the properties of plane shapes such as sides and
corners.
5. You will learn that the point where two sides meet is called a corner.
6. You will learn to measure lengths widths.
7. You will draw squares and rectangles according to a measure given.
8. You will work in teams to measure perimeters and areas from
squares and rectangles in real life.
9. You will observe pictures/reality to identify squares and rectangles
trying to deduce their real dimensions and decide which unit is
better in each situation.
10.You have to use English as much as you can at all times.
Are you ready?????
Ten tips for learning success
3. GEOMETRY: PERIMETERS AND AREAS ESCOLA SANTA ANNA GEP
Escola Santa Anna Maria Jesús Sánchez i Carme Florit
3
I created a Power point presentation to introduce this unit. This has been
the text the students have worked with. Here is the link to the presentation
in Slideshare:
http://www.slideshare.net/cflorit/geometry-perimeter-and-area-60336722
This is the collection of worksheets students have worked with.
Pupil’s Name:
Activities
4. GEOMETRY: PERIMETERS AND AREAS ESCOLA SANTA ANNA GEP
Escola Santa Anna Maria Jesús Sánchez i Carme Florit
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Explicit questions
Session 1 - Worksheet 1
Properties of 2D shapes: rectangle and square
Complete the sentences after watching the presentation and the video:
1 – A flat (2D) shape with 4 equals sides and 4 right angles is a
-----------------------------------------------------------------------
2 – A flat (2D) shape where opposite sides are parallel and equal in lenght
is a
-----------------------------------------------------------------------
3 – How many corners or vertices does a square have?
---------------------------------------------------------------------
4 – How many corners or vertices does a rectangle have?
---------------------------------------------------------------------
5 – Opposite sides of a rectangle are:
A. Parallel, but not equal in length
B. Parallel and equal in length
C. Equal in length, but not parallel
D. Neither parallel nor equal in length
6- Draw a rectangle. Write: side, angle, corner on the right place.
7- Draw a square. Write: side, angle, corner on the right place.
5. GEOMETRY: PERIMETERS AND AREAS ESCOLA SANTA ANNA GEP
Escola Santa Anna Maria Jesús Sánchez i Carme Florit
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Session 2 - Worksheet 2 Let’s measure perimeters
To do this task, you need a ruler, a table and a notebook.
1.Using the ruler, measure the 4 sides of your table. Write the numbers in
the right place:
2.Calculate the perimeter of your table:
Remember : h + h + w + w = perimeter (cm)
3.Using the ruler, measure the 4 sides of your notebook. Write the
numbers in the right place:
4.Calculate the perimeter of your notebook:
Width = w = ...... cm
Width = w = ....... cm
Height = h = .......
cm
Height = h = .......
cm
Width = w = ...... cm
Width = w = ....... cm
Height = h = .......
cm
Height = h = .......
cm
6. GEOMETRY: PERIMETERS AND AREAS ESCOLA SANTA ANNA GEP
Escola Santa Anna Maria Jesús Sánchez i Carme Florit
6
Remember : h + h + w + w = perimeter (cm)
5. The perimeter is .........................................................................................
6 – Calculate the perimeter of this square:
A. 16 cm B. 20 cm C. 25 cm
5 cm
7– Calculate the perimeter of this rectangle:
A. 13 m B. 21 m C. 26 m
8 cm
5 cm
7. GEOMETRY: PERIMETERS AND AREAS ESCOLA SANTA ANNA GEP
Escola Santa Anna Maria Jesús Sánchez i Carme Florit
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Reinforcement and Extension activities:
Session 3 - Worksheet 3 Let’s measure perimeters and areas
1.The area of a square is ..........................................................................................
2.The area of a rectangle is ......................................................................................
3.Calculate the area of this rectangle:
9 cm
A. 26 cm2 4 cm
B. 36 cm2
C. 32 cm2
4. Calculate the area of this square:
7 m A. 40 m2
B. 28 m2
C. 49 m2
5.If the perimeter of a square is 16 m, how long is the side? ..............................
6. A square-shaped window is 30 cm each side. What is its area? .....................
8. GEOMETRY: PERIMETERS AND AREAS ESCOLA SANTA ANNA GEP
Escola Santa Anna Maria Jesús Sánchez i Carme Florit
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Homework – Your Bedroom
1. – Measure your bedroom.
. How many meters does the length (long side) measure? ----------
. How many meters does the width (short side) measure? ----------
. Is your room a square? Yes, it is / No, it isn’t.
. Is your room a rectangle? Yes, it is / No, it isn’t.
2. - Now, you can calculate the perimeter of your room (in case your room is a
square, you must draw it here).
a
a a
a
Perimeter = a + a + a + a = m
The perimeter of my room is --------------- square meters
3. - Calculate the area of your room
a
b
Area= a x b= m2
The area of my room is -------------- square meters.
. Is your room a square? Yes, it is / No, it isn’t
. Is your room a rectangle? Yes, it is / No, it isn’t
9. GEOMETRY: PERIMETERS AND AREAS ESCOLA SANTA ANNA GEP
Escola Santa Anna Maria Jesús Sánchez i Carme Florit
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Session 4 - Worksheet 4
Let’s solve perimeter and area problems
1. If the perimeter of a square is 16 m, how long is the side? .................................
2 . A square-shaped window is 30 cm each side. What is its area? .......................
3 . Draw a square that has sides with a lenght of 4cm.
4 . Draw a rectangle with a width of 9 cm and a height of 6 cm.
5. Match
A flat shape with 4 equals sides
and 4 right angles.
rectangle
A flat shape where opposite sides
are parallel and of equal lenght
square
10. GEOMETRY: PERIMETERS AND AREAS ESCOLA SANTA ANNA GEP
Escola Santa Anna Maria Jesús Sánchez i Carme Florit
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Session 5 - Worksheet 5
Group Project: A Room at School
At school we want to renovate the floor and put down new tiles and a new
baseboard.
TILES BASEBOARD
We have 8 equal size classrooms, a computer room, a music classroom, a
support classroom, an English classroom, a staff room and the boys’ toilets
and girls’ toilets.
Each group is in charge of measuring one of these rooms. Two students will
be in charge of measuring and the third student has to note the
measurements down.
Your group has assigned the room:
.............................................................................................................................
Tasks:
1. Your group has to show a drawing of the room with the measurements.
2. Your group has to calculate the area and the perimeter of your assigned
room.
3. Your group has to say how many square meters of tiles are needed and
how many meters of baseboard are needed.
4. Finally, your group has to share the information with the rest of the class by
a poster.
11. GEOMETRY: PERIMETERS AND AREAS ESCOLA SANTA ANNA GEP
Escola Santa Anna Maria Jesús Sánchez i Carme Florit
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Individual assessment
Geometry project. Test
1- A flat shape with 4 equals sides and 4 right angles is a
.............................
2- A flat shape where opposite sides are parallel and equal in length is
a ...............................
3- Draw a rectangle. Write: side, angle, corner on the right place.
4- Perimeter is the distance arround the edge. Match
The perimeter is 4 times the side length rectangle
The perimeter is the addition of the 4 sides square
5- Calculate the perimeter
7 m
3 m
The perimeter is .........................
6- Calculating areas. Match
Assessment
12. GEOMETRY: PERIMETERS AND AREAS ESCOLA SANTA ANNA GEP
Escola Santa Anna Maria Jesús Sánchez i Carme Florit
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The long side times the short side Area of a rectangle
One side times one side Area of a square
7- Calculate the area of this square
6 cm
A. 32 cm2 B. 36 cm2 C. 24 cm2
8- Calculate the area of this rectangle
9 m
4 m
A- 36 m2 B- 26 m2 C- 45 m2
9- If the perimeter of a square is 24 cm, how long is the side?
.............................
10-Match
- If we want to change the tiles of the floor the perimeter
we need to calculate.
- If we want to change the baseboard the area
we need to calculate
13. GEOMETRY: PERIMETERS AND AREAS ESCOLA SANTA ANNA GEP
Escola Santa Anna Maria Jesús Sánchez i Carme Florit
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RUBRIC
Very Good
Excellent!
Satisfactory
Well done!
Could be
better
Try harder
next time.
You can classify
shapes into plane
and solid shapes.
Pupil is able to
classify all the
given shapes.
Pupil can classify
75% of the given
shapes.
Pupil only
classifies less
than 75% of
the shapes.
You can identify
squares and
rectangles all over
the classroom.
Pupil is able to
classify all the
shapes
requested.
Pupil can classify
75% of the
shapes
requested.
Pupil can
classify less
than 75% of
the shapes
requested.
You can identify
the properties of a
square and a
rectangle.
Pupil can identify
all the properties
of a square and a
rectangle.
Pupil can identify
75% of the
properties of a
square and a
rectangle.
Pupil can
identify less
than 75% of
the properties.
You can measure
side lengths from
squares and
rectangles.
Pupil can give a
exact measure of
all the shapes.
Pupil can give
75% of the
measures
requested.
Pupil can give
less than 75%
of the
measures
requested.
You can draw
squares and
rectangles
according to a
measure given.
Pupil can draw
the shape
according to a
given measure.
Pupil draw the
shape but not
according to the
measure.
Pupil is not
able to draw
the shape.
You can calculate
the perimeter of a
square or a
rectangle.
Pupil can
calculate any
perimeter
correctly.
Pupil can
calculate 60% of
the given
perimeters.
Pupil can
calculate less
than 60% of
the perimeters.
You can calculate
the area of a
square or a
rectangle.
Pupil can
calculate correctly
any area from a
square or a
rectangle.
Pupil can
calculate 60% of
the areas from a
square or a
rectangle.
Pupil can
calculate less
than 60% of
the areas.
You can choose
the correct unit
needed to measure
a shape (mm, cm,
m)
You can choose
the correct unit in
all cases.
You choose the
correct unit in
60% of cases.
You choose
the correct unit
less than 60%
of cases.
14. GEOMETRY: PERIMETERS AND AREAS ESCOLA SANTA ANNA GEP
Escola Santa Anna Maria Jesús Sánchez i Carme Florit
14
CHECKLIST YES NO
I measured my bedroom
I calculated the perimeter of my
bedroom
I calculated the area of my bedroom
I participated completely in measuring
a room at school
I calculated the perimeter of the room
at school collaborating with my group
Participation
in the project
I calculated the area of the room at
school collaborating with my group
I told my partners the perimeter and
area of my room in English
Use of English
I read the measures of the school room
to my partners