Identificación del material AICLE

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3 CONSEJERÍA DE EDUCACIÓN Dirección General de Participación e Innovación Educativa Identificación del material AICLE TÍTULO Surface Area and Volume NIVEL LINGÜÍSTICO SEGÚN MCER A2.2 IDIOMA Inglés ÁREA / MATERIA Matemáticas NÚCLEO TEMÁTICO Geometría GUIÓN TEMÁTICO - Identificación de volúmenes. Cálculo de sus superficies y volúmenes - Adquisición del vocabulario básico de la unidad FORMATO Material didáctico en formato PDF CORRESPONDENCIA CURRICULAR 3º de Educación Secundaria AUTORÍA Patricia Sánchez España TEMPORALIZACIÓN APROXIMADA 6 sesiones COMPETENCIAS BÁSICAS Competencia en comunicación lingüística: - Conocer, adquirir, ampliar y aplicar el vocabulario del tema - Ejercitar una lectura comprensiva de textos relacionados con el núcleo temático Competencia Matemática: - Identificar poliedros y sus partes. La esfera - Utilizar las fórmulas para calcular sus superficies y volúmenes - Resolver problemas matemáticos sobre volúmenes Competencia en tratamiento de la información y competencia digital: - Realizar las actividades propuestas haciendo uso del ordenador Aprender a aprender: - Interpretar la información sobre las diferentes formas geométricas en tres dimensiones Autonomía e iniciativa personal: - Ser autónomos para realizar las actividades individuales OBSERVACIONES 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 diversidad Ampliación: Writing Word Problems Refuerzo: Sugar Cubes Material AICLE. 3º de ESO: Surface Area and Volume 3

4 Tabla de programación AICLE OBJETIVOS - Concebir el conocimiento científico como un saber integrado, que se estructura en distintas disciplinas, así como conocer y aplicar los métodos para identificar los problemas en los diversos campos del conocimiento y de la experiencia - Comprender y expresarse en una o más lenguas extranjeras de manera apropiada CONTENIDOS DE CURSO / CICLO 1. Contenidos comunes referentes a la resolución de problemas y la utilización de herramientas tecnológicas. 4. Geometría. TEMA - 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 MODELOS DISCURSIVOS - 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 TAREAS - Figuras geométricas - Grabaciones audio-visuales en DVD 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 volume How 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: m 2, volume: m 3 )... CRITERIOS DE EVALUACIÓN - 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 4 Material AICLE. 3º de ESO: Surface Area and Volume

5 SURFACE AREA AND VOLUME How many figures do you know? What is the blue figure called? Can you see figures with similar properties? How many vertexes...? Do you know their volumes? Do you know other figures? Key vocabulary Material AICLE. 3º de ESO: Surface Area and Volume 5

6 VOCABULARY PRACTICE Can this be the pyramid? I don t think so. I agree Can you give me the formula for the volume? Yes, it is... 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 6 Material AICLE. 3º de ESO: Surface Area and Volume

7 1. NAME THE FOLLOWING THREE-DIMENSIONAL OBJECTS AND TRY TO DRAW A FLAT PATTERN FOR EACH OF THESE SOLIDS. NAME PATTERN z X Material AICLE. 3º de ESO: Surface Area and Volume 7

8 2. WRITE A DEFINITION OF SURFACE AREA 3. WRITE A DEFINITION OF VOLUME 8 Material AICLE. 3º de ESO: Surface Area and Volume

9 PRISM 4. WRITE A DEFINITION OF PRISM 5. GIVE SOME EXAMPLES OF OBJECTS SHAPED LIKE A PRISM. WHY DO THEY HAVE THIS SHAPE? Material AICLE. 3º de ESO: Surface Area and Volume 9

10 PRISM base P = perimeter LATERAL AREA B = area Surface Area SA = 2B + Ph height h Volume V = B h 6. FIND THE SURFACE AREA AND THE VOLUME OF THE FOLLOWING PRISMS. WORK WITH YOUR PARTNER. PRISM BASE HEIGHT SA V rectangular b=4 w=2 10 cube s= Material AICLE. 3º de ESO: Surface Area and Volume

11 PYRAMID 7. WRITE A DEFINITION OF PYRAMID 8. GIVE SOME EXAMPLES OF OBJECTS SHAPED LIKE A PYRAMID. WHY DO THEY HAVE THIS SHAPE? Material AICLE. 3º de ESO: Surface Area and Volume 11

12 PYRAMID LATERAL AREA lateral height l Surface Area SA = B + 1/2 Pl base P = perimeter B = area Volume V = 1/3 B h 9. FIND THE SURFACE AREA AND THE VOLUME OF THE FOLLOWING PYRAMIDS. WORK WITH YOUR PARTNER. PYRAMID BASE LATERAL HEIGHT SA V square s=5 10 rectangular b=3 w= Material AICLE. 3º de ESO: Surface Area and Volume

13 CYLINDER 10. WRITE A DEFINITION OF CYLINDER 11. GIVE SOME EXAMPLES OF OBJECTS SHAPED LIKE A CYLINDER. WHY DO THEY HAVE THIS SHAPE? Material AICLE. 3º de ESO: Surface Area and Volume 13

14 CYLINDER radius r Surface Area LATERAL AREA SA = 2πr 2 +2πrh height h Volume V = π r 2 h 12. FIND THE SURFACE AREA AND THE VOLUME OF THE FOLLOWING CYLINDERS. WORK WITH YOUR PARTNER. RADIUS HEIGHT SA V Material AICLE. 3º de ESO: Surface Area and Volume

15 CONE 13. WRITE A DEFINITION OF CONE 14. GIVE SOME EXAMPLES OF OBJECTS SHAPED LIKE A CONE. WHY DO THEY HAVE THIS SHAPE? Material AICLE. 3º de ESO: Surface Area and Volume 15

16 CONE lateral height l Surface Area LATERAL AREA SA = πr 2 + πrl radius r Volume V = 1/3 πr 2 h 15. FIND THE SURFACE AREA AND THE VOLUME OF THE FOLLOWING CONES. WORK WITH YOUR PARTNER. RADIUS HEIGHT SA V Material AICLE. 3º de ESO: Surface Area and Volume

17 SPHERE 16. WRITE A DEFINITION OF SPHERE 17. GIVE SOME EXAMPLES OF OBJECTS SHAPED LIKE A SPHERE. WHY DO THEY HAVE THIS SHAPE? Material AICLE. 3º de ESO: Surface Area and Volume 17

18 SPHERE radius r Surface Area SA = 4 π r 2 Volume V = 4 /3 π r FIND THE SURFACE AREA AND THE VOLUME OF THE FOLLOWING SPHERES. WORK WITH YOUR PARTNER. RADIUS SA V Material AICLE. 3º de ESO: Surface Area and Volume

19 19. COMPLETE THE TABLE, TAKE A FEW MINUTES TO GO OVER ALL FORMULAS AND WORK INDIVIDUALLY ON YOUR PRACTICE WORKSHEETS. FORMULAS Prism Pyramid Cylinder Cone Sphere Surface Area Volume Material AICLE. 3º de ESO: Surface Area and Volume 19

20 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. 20 Material AICLE. 3º de ESO: Surface Area and Volume

21 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. Material AICLE. 3º de ESO: Surface Area and Volume 21

22 e) Sphere with a radius 20 mm. 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 22 Material AICLE. 3º de ESO: Surface Area and Volume

23 c) Cylinder with radius 3m and height 5m. d) Cone with r= 8in and h= 5in. e) Sphere with a diameter 30mm. Material AICLE. 3º de ESO: Surface Area and Volume 23

24 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? The object is because. The formula is and the solution is: 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? The object is. The formula is and the solution is: 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 and the formula is and the solution is: 24 Material AICLE. 3º de ESO: Surface Area and Volume

25 WRITING WORD PROBLEMS We should start by We have considered that The volume is... and its surface area is... How long is the radius? How long is this side? If we analyze To summarise, we can say that 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. Material AICLE. 3º de ESO: Surface Area and Volume 25

26 SUGAR CUBES How many cubes are there? How long is this side? The volume is... and its surface area is Use sugar cubes and glue to build the following objects. Each sugar cube has dimension 1x1x1. Work in pairs. 1x2x3 Now, without pictures, build: a. 3x3x3 b. 2x2x1 c. 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. 2x2x2 Solid Volume Surface Area 1x3x2 1x3x3 3x3x3 2x2x1 3x2x4 26 Material AICLE. 3º de ESO: Surface Area and Volume

27 FINAL PROJECT 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 can say that 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 Material AICLE. 3º de ESO: Surface Area and Volume 27

28 SELF ASSESSMENT LISTENING ALWAYS SOMETIMES NEVER I understand when someone talks about 3D objects READING I can read texts about 3D objects and understand the most important information SPEAKING I can explain the characteristics of 3D objects WRITING I can write about 3D objects VOCABULARY I recognise words and expressions related to 3D objects, areas and volumes Pictures taken from: 28 Material AICLE. 3º de ESO: Surface Area and Volume