Class 07 Fun Activity – Algebraic Expression

 Fun Activity – Algebraic Expression

Given the values a = 5, b = 3, c = 6, and d = 10.

Move from Start to finish and evaluate the algebraic expressions on the way using the given values. Take the path going from one odd number to another.

Fun Activity – Algebraic Expression - Solution

Given the values a = 5, b = 3, c = 6, and d = 10.

Move from Start to finish and evaluate the algebraic expressions on the way using the given values. Take the path going from one odd number to another.

3ab = 3 x 5 x 3 = 45

2ab= 2 x 5 x 3 = 30

9a = 9 x 5 = 45 5ac / 2 = (5 x 5 x6)/2 =150/2=75

3ac/ 2= (3 x 5 x 6)/2 = 90/2 = 45 5b2  = 5 x 3 x 3= 45 

6ab = 6 x 5 x 3 =90 abd/2 =( 5 x 3 x 10)/2=150/2=75

bcd/2 = (3x6x10)/2 =180/2=90 3acd/4= (3x5x6x10)/4=900/4=225

3cd/4=(3x6x10)/4=180/4=45 2a2 = 2x5x5=50

7ab = 7 x 5 x 3 = 105 abd = 5x3x10=150

c/2 = 6/2=3 abc/2 = (5 x 3x6)/2 = 90 /2=45

3ad/2 = 3x 5 x 10/2 = 150/2=75 bcd/4 = (3x6x10)/4= 180/4=45

7ac = 7 x 5x 6=210 6ad/4 = (6x 5x 10)/4=300/4=75

c2 + d2 = 36+100=136 a2 + b2 = 25+9 =34

2ad = 2 x 5 x 10 =100 acd/4 = 5 x 6 x 10 /4 = 300 /4 = 75

bd/6 = 3x10 /6 = 30 /6 =5 d2 /4 = 100 / 4 =25

a2 = 5 x 5 = 25 b2 = 3 x 3 =9

5b = 5 x 3 =15 6ab = 6x 5 x 3 = 90

Fun Activity – Algebraic Expression - solution

Class 07 Activity - Rational Numbers

 Activity - Rational Numbers

GROUP ACTIVITY

This activity involves finding rational numbers between two rational numbers.

Teacher will write about 20 pairs of rational numbers on the blackboard (at least half of them should be negative).

The student will pick out 2 pairs from these to work on.

(For example,) ^{(− 1)}/₂ and ^{( 1 )}/₄  is one pair and  ^{( −7 )}/₁₁  and ^{( −6 )}/₁₁  is another pair.

The student  will find  two rational numbers that lie between the two rational numbers of the first pair, like ^{(− 1)}/₄ and ⁰/₄ lie between ^{(− 1)}/₂ and ^{( 1 )}/₄. 

Now, he has to find two rational numbers that lie between ^{(− 1)}/₄ and ⁰/₄ . Suppose he writes ^{(− 2)}/₁₂  and ^{(− 1)}/₁₂  lie between and ^{(− 1)}/₄ and ⁰/₄ .

 Now he has to find two rational numbers that lie between ^{(− 2)}/₁₂  and ^{(− 1)}/₁₂. He can then find that ^{(− 5)}/₃₆  and ^{(− 4)}/₃₆ lie between ^{(− 2)}/₁₂  and ^{(− 1)}/₁₂. 

 

Similarly, he has to find two rational numbers between the two rational numbers of the second chosen pair.

Then again he has to find two  rational numbers between those two and again two more numbers between those two numbers.

Since the number of pairs (of rational numbers) given to the students to choose from are limited, many other students too would pick the same pair of numbers. 

Thus, a comparison could be made of their results. 

A whole array of numbers can thus be found between two rational numbers which are given. 

All the results for a particular pair could be written on a chart and then displayed in the room.

Class 07 PROJECT - TANGRAM

 PROJECT - TANGRAM

Objective : 

To understand the concept of ratio by activity, method.

Materials Required: 

Different coloured   triangle cutouts, geometry box, chart paper, etc.

Procedure: 

Arrange the different triangle cutouts as shown in Fig. 1.

2. Count the: different coloured triangles and record your observations.Observations :

Red triangles: Yellow triangles = ____________

2. Red triangles: Blue triangles = ______________

3. Red triangles: Green triangles = ______________

4. Red triangles: (Yellow + Blue) triangles = ______________

5. Red triangles: (Yellow + Green) triangles = ___________

6. Red triangles: (Yellow + Blue + Green) triangles = ________

Class 07 To use a 10 x 10 grid as a model for solving various types of per cent problems

 ACTIVITY – Percent Problems

Objective: 

To use a 10 x 10 grid as a model for solving various types of per cent problems.

Materials Required: 

Sketch pens, squared paper, colour pencils, geometry box, etc.

Procedure:

1. To represent the actual per cent.

1. Draw a 10 x 10 grid on a squared paper as shown in Fig. 

In the figure, one whole square represents 100 per cent and one small square represents 1 per cent. 

2. In the bottom of the big square, shade 30 small squares horizontally as shown in fig to depict 30 %

2. In the bottom of the big square, shade 30 small squares horizontally as shown in fig to depict 30 %

II. To represent the less than 1 %.

To show less than 1 per cent mark as shown in Fig. 3.

III. To represent more than 100%.

1. Make two grids of 10 x 10 each on squared papers.

2. To represent 150%, we shade one grid in full and the other 5 rows ( or 50 small squares) as shown in Fig.

100% + 50 % = 150%