### Shapes and Designs

**HAVE FUN WITH SHAPES**

**Question 1**:

**Colour the clown following the directions given below:**

**Answer**:

**Question 2**:

**How many triangles are there in the following figures?**

**Answer**:

(i) 12 triangles

(ii) 11 triangles

(iii) 13 triangles

**Question 3**:

**Find the biggest rectangle in the figures given below.**

**Answer**:

**EDGES AND CORNERS**

**Question 1**:

**a) Looking at the picture given above, can you tell who is out?**

**b) Where is Guddu standing?**

**c) Can this game be played around a round table? Why?**

**Answer**:

a) Guddu is out.

b) Guddu is standing in the middle of one edge of the table.

c) No, this game cannot be played around a round table because the round table will not have any corner.

**Question 2**:

**a) Look around you and identify things with straight and curved edges.**

**b) Do the things with straight edges have corners?**

**c) Do the things with curved edges have corners?**

**d) Try to find things which have both straight and curved edges.**

**Answer**:

a) Things with straight edges: computer screen, table, book, notepad, wall.

Things with curved edges: football, lemon, coconut,

b) Yes, things with the straight edges have corners.

c) No, things with curved edges have corners do not have corners.

d) Things having both straight and curved edges: screw driver, electric guitar, bicycle, car, aeroplane.

**ACTIVITY TIME**

**Question 1 – 5**:

**1. Take a rectangular sheet of paper.**

**2. Count its corners.**

**3. Now fold one of its corners.**

**a) How many corners does it have now?**

**b) How many corners will you get by folding? (i) 2 corners (ii) 3 corners (iii) 4 corners**

**c) Can you fold this paper in such a way that it has only three corners? You are allowed only two folds. What shape will you get?**

**4. Repeat the activity with a square sheet of paper.**

**5. Can you fold all the corners of the square sheet in such a way that the number of corners remains unchanged?**

**Answer 1 – 5**:

1. Kids have to do as directed.

2. There are 4 corners in the paper.

3. (a) Now, there are 5 corners in the paper.

(b) (i) 6 corners

(ii) 7 corners

(iii) 8 corners

(c) Yes, the paper can be folded in such a way that it has only three corners, using 2 folds. We will get a triangle.

4. Kids have to do as directed.

5. Yes, the corners of the square can be folded in such a way that the number of corners remains unchanged, i.e. 4.

**Question**:

**Look at the following table and tick the names of things that have corners. Also count the number of edges and corners in each of them.**

**Answer**:

Name of thing | Whether it has corners | Number of edges | Number of corners |

Die | Yes | 12 | 8 |

Ball | No | 0 | 0 |

Eraser | Yes | 12 | 8 |

Egg | No | 0 | 0 |

Sheet of paper | Yes | 4 | 4 |

**Question:**

**In the following figures, tick ( ) those which have corners. Do these figures have curved lines?**

**Answer**:

Yes, these figures have curved line also.

**Question**:

**Using only straight lines, can you draw a figure which has no corners?**

**Answer**:

No, we can’t draw a figure which has no corners.

**TANGRAM**

**Question 1**:

**How many triangles do you have in your set? Are all of them equal in size? Find out.**

**Answer**:

There are 3 triangles in the given set, the triangles are named 1, 2 and 5. No all of them are not equal in size.

**Question 2**:

**Use the two small triangles in the tangram set to get the following shapes:**

**Answer**:

Do as directed, using the triangles numbered 2 and 5.

**Question 3**:

**Which two pieces of the tangram set are exactly same? Find out.**

**Answer**:

The triangles 2 and 5 are exactly same.

**Question 4**:

**Take pieces 4 and 5 from the set and find out on which side of the triangle you can join the other piece.**

**Answer**:

We can join the piece numbered 4 on the slant side of the piece numbered 5.

**Question 5**:

**Find matching sides among the following pairs of pieces.**

**a) Pieces 1 and 2**

**b) Pieces 2 and 4**

**c) Pieces 1 and 5**

**d) Pieces 2 and 5**

Answer:

a) The longest side of 2 match with one of the short sides of 1.

b) The longest side of 2 match with the longest side of 4.

c) The longest side of 5 match with one of the short sides of 1.

d) The longest side of 2 match with the longest side of 5, the short side of 2 match with the short side of 5.

**WEAVING PATTERNS**

**Question 1 – 4**:

**Which geometrical shapes can you identify in these borders? Draw them in your notebook.****Is any shape repeating in a particular pattern? Which ones?****Are the shapes made of (i) Curved lines (ii) Straight lines (iii) Both curved and straight lines****Look at your clothes, your mother’s saris/shawls, rugs and mats. Can you identify some patterns? Draw them in your notebook.**

**Answer 1 – 4**:

- Geometrical shapes in the pattern:

- The shapes are made of both curved and straight lines.
- Do as directed.

**FLOOR PATTERNS**

**Question** **1**:

**Among the following, can you match the tiles with the designs that they will make on the floor? Draw lines to match.**

**Answer**:

**Question 2**:

**Complete the following tiling pattern.**

**Answer**:

**Question 3**:

**Compare it with the pattern on page 70 which also uses six sided shapes. What is the difference between the two?**

**Answer**:

The pattern on page 70 has hexagons connected to each other. But in the pattern on this page, the hexagons are connected through triangles.

**Question 4**:

**Khushboo and Hariz live in Agra. One day they went to see the Taj Mahal. The floor had the pattern shown below. What do you think? Discuss with your friends.**

**Answer**:

In the pattern, only one type of tile has been used but at different angles.