Identificación del material AICLE - Junta de Andalucía · Material AICLE. 3º de ESO: Surface...

3Material AICLE. 3º de ESO: Surface Area and Volume

Identificación del material AICLE

CONSEJERÍA DE EDUCACIÓNDirección General de Participación e Innovación Educativa

Surface Area and VolumeTÍTULO

A2.2NIVEL LINGÜÍSTICOSEGÚN MCER

InglésIDIOMA

MatemáticasÁREA / MATERIA

GeometríaNÚCLEO TEMÁTICO

3º de Educación SecundariaCORRESPONDENCIA CURRICULAR

6 sesionesTEMPORALIZACIÓN APROXIMADA

- Identificación de volúmenes. Cálculo de sus superficies y volúmenes- Adquisición del vocabulario básico de la unidadGUIÓN TEMÁTICO

Competencia en comunicación lingüística:- Conocer, adquirir, ampliar y aplicar el vocabulario del tema- Ejercitar una lectura comprensiva de textos relacionados con el núcleo temáticoCompetencia Matemática:- Identificar poliedros y sus partes. La esfera- Utilizar las fórmulas para calcular sus superficies y volúmenes- Resolver problemas matemáticos sobre volúmenesCompetencia en tratamiento de la información y competencia digital:- Realizar las actividades propuestas haciendo uso del ordenadorAprender a aprender:- Interpretar la información sobre las diferentes formas geométricas en tres di-mensionesAutonomía e iniciativa personal:- Ser autónomos para realizar las actividades individuales

COMPETENCIASBÁSICAS

Las fichas de vocabulario de trabajo en parejas, se pueden usar como introducción a la unidad. La unidad se puede explicar por completo en la segunda lengua.Atención a la diversidadAmpliación: Writing Word ProblemsRefuerzo: Sugar Cubes

OBSERVACIONES

Material didáctico en formato PDFFORMATO

Patricia Sánchez EspañaAUTORÍA

4 Material AICLE. 3º de ESO: Surface Area and Volume

Tabla de programación AICLE- Concebir el conocimiento científico como un saber integrado, que se estructura en distintas disciplinas, así como conocer y aplicar los métodos para identificar los prob-lemas en los diversos campos del conocimiento y de la experiencia- Comprender y expresarse en una o más lenguas extranjeras de manera apropiada

OBJETIVOS

- Elementos de los poliedros- Poliedros regulares- Prismas y pirámides. Áreas- Cuerpos redondos o de revolución. Áreas- Volúmenes del ortoedro, cubo, prisma, pirámide, cilindro, cono y esfera

TEMA

- Figuras geométricas- Grabaciones audio-visuales en DVDTAREAS

- Distinguir los tipos de poliedros y sus elementos- Identificar prismas y pirámides, así como sus elementos característicos- Reconocer los cuerpos de revolución y sus elementos- Resolver problemas que impliquen el cálculo de áreas de prismas, pirámides y cuerpos de revolución- Calcular el volumen del ortoedro, cubo, prisma, pirámide, cilindro, cono y esfera- Resolver problemas que impliquen el cálculo de volúmenes de cuerpos geométricos

CRITERIOS DE EVALUACIÓN

- Distinguir las partes de un cuerpo en tres dimensiones- Clasificar los distintos tipos de volúmenes- Identificar las fórmulas para el cálculo de superficies y volúmenes

MODELOSDISCURSIVOS

CONTENIDOS LINGÜÍSTICOS

FUNCIONES:- Comprender información general y específica de textos escritos- Escuchar y comprender información general de mensajes orales.- Argumentar respuestas - Redactar conclusiones

ESTRUCTURAS:Find the volumeHow many sides does a rectangular prism have?No, the sphere does not go in this box.I think this is a pyramid. I agree. I don’t think so.What’s the name for …?How do you read this?Can this be a...?

LÉXICO:Area, surface area, volume, height, radius, base, right prism, pyramid, right cylinder, right cones, spheres, to measure, solid, metric units (length: m, surface: m2, volume: m3)...

1. Contenidos comunes referentes a la resolución de problemas y la utilización de herramientas tecnológicas. 4. Geometría.

CONTENIDOSDECURSO / CICLO


SURFACE AREA AND VOLUME

How many figures do you know?What is the blue figure called?

Can you see figures withsimilar properties?How many vertexes ...?

Do you know their volumes?Do you know other figures?

Key vocabulary


VOCABULARY PRACTICE

Surface Area and Volume PPT

a. Listen to teacher’s directions before continuing, raise your hand and ask questions if

necessary. Pay attention to the formulas given by your teacher and how they read them.

b. Get your worksheet ready to record the information.

c. Go to the next exercise only if you have finished the one you are working on.

d. Do not rush; you have enough time to finish.

e. Work in pairs.

3-D Objects

…

…

……

…

Can this be the pyramid?I don’t think so.I agree

Can you give me theformula for the volume?Yes, it is ...


1. NAME THE FOLLOWING THREE-DIMENSIONAL OBJECTS AND TRY TO DRAW A FLAT PATTERN FOR EACH OF THESE SOLIDS.

NAME PATTERN

zX


2. WRITE A DEFINITION OF ‘SURFACE AREA’

3. WRITE A DEFINITION OF ‘VOLUME’

_____________________________________________________________________________________________________________________________________________________________________________________________

_____________________________________________________________________________________________________________________________________________________________________________________________


PRISM

4. WRITE A DEFINITION OF ‘PRISM’

5. GIVE SOME EXAMPLES OF OBJECTS SHAPED LIKE A PRISM. WHY DO THEY HAVE THIS SHAPE?

_____________________________________________________________________________________________________________________________________________________________________________________________

_____________________________________________________________________________________________________________________________________________________________________________________________


6. FIND THE SURFACE AREA AND THE VOLUME OF THE FOLLOWING PRISMS. WORK WITH YOUR PARTNER.

PRISM

base

height

h

P = perimeter

B = area Surface Area SA = 2B + Ph

Volume V = B h

LATERAL AREA

PRISM BASE HEIGHT SA V

rectangular b=4 w=2 10

cube s=3 3


PYRAMID

7. WRITE A DEFINITION OF ‘PYRAMID’

8. GIVE SOME EXAMPLES OF OBJECTS SHAPED LIKE A PYRAMID. WHY DO THEY HAVE THIS SHAPE?

_____________________________________________________________________________________________________________________________________________________________________________________________

_____________________________________________________________________________________________________________________________________________________________________________________________


9. FIND THE SURFACE AREA AND THE VOLUME OF THE FOLLOWING PYRAMIDS. WORK WITH YOUR PARTNER.

PYRAMID

lateralheight

l

baseP = perimeter

B = area

Surface Area SA = B + 1/2 Pl

Volume V = 1/3 B h

LATERAL AREA

PYRAMID BASE LATERAL HEIGHT SA V

square s=5 10

rectangular b=3 w=4 12


CYLINDER

10. WRITE A DEFINITION OF ‘CYLINDER’

11. GIVE SOME EXAMPLES OF OBJECTS SHAPED LIKE A CYLINDER. WHY DO THEY HAVE THIS SHAPE?

_____________________________________________________________________________________________________________________________________________________________________________________________

_____________________________________________________________________________________________________________________________________________________________________________________________


12. FIND THE SURFACE AREA AND THE VOLUME OF THE FOLLOWING CYLINDERS. WORK WITH YOUR PARTNER.

CYLINDER

height

h

radius

rSurface Area SA = 2πr2+2πrh

Volume V = π r2 h

LATERAL AREA

RADIUS HEIGHT SA V

5 12

6 9


CONE

13. WRITE A DEFINITION OF ‘CONE’

14. GIVE SOME EXAMPLES OF OBJECTS SHAPED LIKE A CONE. WHY DO THEY HAVE THIS SHAPE?

_____________________________________________________________________________________________________________________________________________________________________________________________

_____________________________________________________________________________________________________________________________________________________________________________________________


15. FIND THE SURFACE AREA AND THE VOLUME OF THE FOLLOWING CONES. WORK WITH YOUR PARTNER.

CONE

radius

r

lateralheightl Surface Area SA = πr2 + πrl

Volume V = 1/3 πr2 h

LATERAL AREA

RADIUS HEIGHT SA V

5 10

3 4


SPHERE

16. WRITE A DEFINITION OF ‘SPHERE’

17. GIVE SOME EXAMPLES OF OBJECTS SHAPED LIKE A SPHERE. WHY DO THEY HAVE THIS SHAPE?

_____________________________________________________________________________________________________________________________________________________________________________________________

_____________________________________________________________________________________________________________________________________________________________________________________________


18. FIND THE SURFACE AREA AND THE VOLUME OF THE FOLLOWING SPHERES. WORK WITH YOUR PARTNER.

SPHERE

radius

r Surface Area SA = 4 π r2

Volume V = 4 /3 π r3

RADIUS SA V

4

25


19. COMPLETE THE TABLE, TAKE A FEW MINUTES TO GO OVER ALL FORMULAS AND WORK INDIVIDUALLY ON YOUR PRACTICE WORKSHEETS.

FORMULAS

Surface Area VolumePrismPyramidCylinderConeSphere


SURFACE AREA AND VOLUME PRACTICE

20. Listen to your teacher and complete the text below. Make a note of new vocabulary in the box below.

SURFACE AREA AND VOLUME

Surface area is the amount of space covering the ________________ of a three-dimensional (3D) object. The surface area of a polyhedron is found by finding the sum of the area of all of the ____________. The surface area is found between many three-dimensional shapes using formulas.

The surface area is useful because it tells you how much material is required in order to cover the object. For example, how much paint is needed to paint a table. Surface area is the ___________ of the faces, or surfaces, of a three dimensional shape.

The volume of an object describes how much physical space it takes up using the three ______________ of width, depth, and height.

The word volume can be used to describe real things like boxes, lakes, and buildings. All of these things have width, depth, and height. The formula for measuring _______________ is width×depth×height.


21. Find the surface area of each solid to the nearest tenth (use π = 3.14)Draw the correct 3D object for each exercise, and label it with its measurements. Explain your reasoning.

a) Rectangular prism with l=3cm, w=2cm, and h=10cm

b) Square pyramid with side of the base 5in and lateral height 7in

c) Cylinder with radius 3m and height 5m.

d) Cone with r= 8in and l= 6in.


22. Find the volume of each solid to the nearest tenth (use π = 3.14) Draw the correct 3D object for each exercise, and label it with its measurements. Explain your reasoning.

a) Rectangular prism with l=30cm, w=20cm, and h=10cm

b) Square pyramid with side of the base 5in and height 6in

e) Sphere with a radius 20 mm.


c) Cylinder with radius 3m and height 5m.

d) Cone with r= 8in and h= 5in.

e) Sphere with a diameter 30mm.


23. Solve the following word problems. Work in pairs, do your operations and write your conclusions.

a) Miriam added liquid soap to the cylindrical fill cup of her parents’ laundry machine. If the cup was 5 centimeters deep with a radius of 4 centimeters, how many cubic centimeters of soap did she need to fill half of it?

b) A water tank has been purchased for the farm. It will be used to water cattle. It is an oval shaped metal container that is 2.7 feet tall. The area of the bottom of the tank is 12.8 square feet. If the farm animals drink two hundred seventeen cubic feet of water a day, how many times per day will the tank have to be filled?

c) An underground chamber has been discovered in an old mansion. The chamber is thought to have been used for storing ammunition. The dimensions of the chamber are 12 feet by 7 feet by 7 feet. An old ammunition crate was also found in the chamber and it had dimensions of 1 foot by 1 foot by 2 feet. What is the maximum number of ammunition boxes of that size that could be put in the underground chamber?

The object is ____________________________ because _______________________________________________________________.The formula is ___________________ and the solution is:

The object is ___________________________________.The formula is ___________________ and the solution is:

The object is __________________________________and the formula is ___________________ and the solution is:


WRITING WORD PROBLEMS

24. Write 2 different word problems where the solution is finding the surface area or the volume of a 3D object. Solve them and present them to your class.

The shape of a _____________________ is a ________________ that measures ____________________________________. Find the __________________.

The _________________________________________________________________________. Find the __________________.

We should start by…

How long is the radius?How long is this side?

We have considered that…

If we analyze …

The volume is ...and its surface area is ...

To summarise,we can say that…


SUGAR CUBES

25. Use sugar cubes and glue to build the following objects. Each sugar cube has dimension 1x1x1. Work in pairs.

Now, without pictures, build:

a. 3x3x3b. 2x2x1c. 3x2x4

Volume will be the number of cubes you have used. Record the volume of all your solids.

Use the colors to paint all faces of those solids.

Surface Area will be the number of faces of the cubes you have painted. Record the surface area of all your solids.

1x2x3

How many cubes are there?

How long is this side? The volume is ...and its surface area is ...

Solid Volume Surface Area2x2x2

1x3x2

1x3x3

3x3x3

2x2x1

3x2x4


FINAL PROJECT

26. Grab your camera and take a picture of an object with your favorite 3D shape, give it a title and describe its properties. Prepare a short presentation of your piece of art.

Pinsapo, Sierra de las Nieves, Málaga

I chose a tree because ... The tree has this shape in order to be more ...

The radius is...and its height is ...

To summarise, we cansay that…


SELF ASSESSMENT

Pictures taken from:http://bancoimagenes.isftic.mepsyd.es/

ALWAYS SOMETIMES NEVERLISTENING

I understand when someone talksabout 3D objects

READING

I can read texts about 3D objects and understand the most important information

SPEAKINGI can explain the characteristicsof 3D objects

WRITING

I can write about 3D objects

VOCABULARYI recognise words and expressions related to 3D objects, areasand volumes

Identificación del material AICLE - Junta de Andalucía · Material AICLE. 3º de ESO: Surface...

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