CBSE Class 4 Maths Symmetry and Patterns HOTs

HOTS

1. Study the following pattern and fill in the blanks. 

Answer: 3×4, 4×5

2. Draw a line which divides the square into 2 equal parts, but is not a line of symmetry for the square. The dot (•) shows the centre of the square. 

Answer:  

3. Which circle prevents the figure from being symmetric?
(Ignore letters while looking for symmetry.) 

a. A b. B
c. C d. D
Answer: B

4. What is the minimum number of squares that should be shaded to make the figure symmetrical? 

a. 5 b. 2
c. 3 d. 4
Answer: C

5. Complete the pattern
a. 729, 243, 81, , ,
b. 1, 8, 27, 64, , ,
Answer: a. 27, 9, 3, b. 125, 216, 343

6. Extend the pattern below using the dots GRID. 

SUMMARY

1. Symmetry means that one shape becomes exactly like another when the shapes are divided into two equal shapes and sizes.

2. The line that divides a shape into two equal halves is called the line of symmetry.

3. Patterns can be series of repeated figures, objects or numbers.

ERROR ANALYSIS

Students are unable to :

1. recognise pattern.

2. visualize line of symmetry

3. tell the number of lines of symmetry

ACTIVITY I

Reflections and Cutouts

You can make patterns which are reflections of each other by paper cutting and folding also.
1. Take a rectangular or square piece of paper.
2. Fold it into 2 parts.
3. Draw any design.
4. Cut the design.
5. Unfold the paper and observe the pattern.
Here is one example for you. 

Are the two halves same?
Now fold a piece of paper in half, then in half again and make several cuts along the edges and unfold the paper.
Again, observe the pattern. 

ACTIVITY II

Beautiful Patterns

Objective: To create beautiful patterns using ink blots or colour.
Material Required: Drawing sheet, colour.
Note: You will work alone.

Steps:
1. Fold drawing sheet into half and unfold.
2. Drop colour and press it again.
3. Unfold to get beautiful pattern.
Some beautiful patterns are shown here.

ACTIVITY III

Tangram
Tangram is an old Chinese puzzle. It is made up of the pieces of a square. Here a square is cut into seven pieces. The pieces can be put together to make different patterns. 

ACTIVITY IV 

Using Different Cutouts
We can create interesting patterns using shapes.
Let us use the basic shapes to create some patterns. 

Can you identify the shapes in the above pattern?
1. Cut out shapes given below using coloured paper.
2. Paste them on a sheet to create interesting patterns.