Ejercicios de lógica

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MEP: Demonstration Project

Y7A, Unit 1

UNIT 1 Logic

Activities

Activities
1.1 1.2 Two Way Tables Shapes in Two Way Tables a. b. c. 1.3 1.4 1.5 1.6 Shapes Numbers Letters

Venn Diagrams Numbers in Venn Diagrams a. Venn Diagrams Plane Passengers Representing Sets by Venn Diagrams

© The Gatsby Charitable Foundation

MEP: Demonstration Project

Y7A, Unit 1

ACTIVITY 1.1
Thisis a whole-class or group activity.

Two Way Tables

You are going to divide up into groups according to two criteria. You need to either use the four corners of your classroom, or make sufficient space in one area of the room. In each case, divide up into the appropriate corner or 'cell' according to the criteria given.

1.
Boys No sisters or brothers At least one sister or brother GirlsAdd up the total number of pupils in each cell. What does this tell you?

2.

No sisters No brothers One or more brothers

One or more sisters

What must the total number of pupils in each cell add up to?

3.
No sisters No brothers One brother One sister

What does the total number of pupils in each cell now add up to? Describe the criteria for pupils who are not in any of thecells.

© The Gatsby Charitable Foundation

MEP: Demonstration Project

Y7A, Unit 1

ACTIVITY 1.2

Shapes in Two Way Tables

This activity requires the use of a set of shapes (given on A 1.2a). You will also need large (A3) 2 × 2 and 3 × 3 tables on which to place the shapes. In each case, put the complete set of shapes, 40 in total, into the appropriate cell, according to the criteriagiven. 1. (a)

No. of edges Not all All straight straight

(b)

No. of edges 2 or less 3 or more

Shaded Not shaded

Shaded Not shaded

2.

No. of edges 3 or less Shaded Not shaded 4 5 or more

3.
3 or less All round Type of edge Some round and some straight All straight

No. of edges 4 5 or more

4.

No. of edges 3 or less None or one No. of vertices Two or three Four or more4 5 or more

Do all the shapes belong in a cell?

© The Gatsby Charitable Foundation

MEP: Demonstration Project

Y7A, Unit 1

ACTIVITY 1.2 a

Shapes

© The Gatsby Charitable Foundation

MEP: Demonstration Project

1 3 4 5 6 7 8 9 10

2

© The Gatsby Charitable Foundation

ACTIVITY 1.2 b

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 3536 37 38 39 40 3 4 5 6 7 8 9 10

1

2

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

Numbers

31 32 33 34 35 36 37 38 39 40

Y7A, Unit 1

MEP: Demonstration Project

Y7A, Unit 1

ACTIVITY 1.2 c

Letters

D

N

V W X

G H F

M

G H

R

B

P O N L K J I M

Q S T U V W X Y Z

S

C

I

Q

L

P

U

A

K

O

S

Y

G HD

N

R

V W X

M

Q

C

B

F

P

L

U

O

K

E

© The Gatsby Charitable Foundation

A

Y

Z

A

B

C

E

I

D

F

Z

T

J

E

R

J

T

MEP: Demonstration Project

Y7A, Unit 1

ACTIVITY 1.3
This a whole-class or group activity.

Venn Diagrams

You are going to be placed in sets according to the given criteria, and youmust find your appropriate place on a Venn diagram of the type shown below, which will be indicated on the classroom floor. In all cases, the complete set consists of all the pupils in the class.

Type 1

Type 2

A
or

A

B

1.

Using Type 1,

A = set of boys.

Describe the set of girls in terms of A. A = set of pupils who are 11 years old.

2.

Using Type 1,

Describepupils in the complement of A. A = boys, B = girls. (i) (ii) the union of A and B, the intersection of A and B,

3.

Using Type 2,

What can you say about

(iii) the complement of A and B? A = pupils with at least one sister, B = pupils with at least one brother. State in words, what is shown by (i) the intersection of A and B,

4.

Using Type 2,

(ii) the complement of the union of A...
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