Module 9- Activity 5: Reflect
A said ‘if length of a rectangle is increased by 1 and breadth decreased by 1 the area enclosed by the rectangle remains the same’. B said ‘No, A is wrong as the new area will increase’. C said ‘No, A and B both are wrong, the new area will decrease’. How will you handle this situation?
Take a moment to reflect and post your comment in the comment box.
Here, Both A and B are wrong
ReplyDeleteIf the length and breadth of rectangle is increased and decreased by 1 respectively, automatically the area will change..
Let us take an example if the length of a rectangle is 5m and the breadth is 3m, therefore area will be length x breadth = 5m x 3m= 15m²-----(A) ,
now if the length of the same rectangle is increased by 1 i.e 5+1= 6m and the breadth decreased by 1 i e 3-1=2m, so the new area will be 6x2= 12m²------(B)
Compare (A) and (B), we see that the original area is 15m² and the new area is 12m² which implies that new area is decreased.
Hence C is correct.
Here both A and B are wrong because if the length is increased by 1 and breadth id decreased by 1, so, the area will automatically change.
ReplyDeleteLet us take an example if,the length of a rectangle is 3m and breadth is 2m. Therefore,using the area formula, Area =length ×breadth=3m×2m=6m²..........AIf the length of the rectangle is increased by 1 .then,3+1=4m and if breadth is decreased by 1 then,2-1 =1m.So,the new area will be 4×1=4m².............B
Comparing A and B the original area is 6m² and the new area is 4m² i.e the new area decreased .Therefore C is correct.
The best way to handle this situation is to proof it through examples by reminding them the formula of how to find the area of the rectangle which is ......The formula for area of rectangle is:
ReplyDeleteArea = Length x Breadth
Then after that let them solves and find out the OLD AREA OF RECTANGLE with 8 m length and 5 m breadth...when the children has solved the problem given and all has came out with the Answers of 40 m²....then during this time tell them to again Find out the NEW AREA OF RECTANGLE but the length here should be increased by 1 m from the old length which is 8 m and the breadth should be decreased 1m from the old breadth which is 5 m.so the new length is 9 m and the new breath is 4 m.....By applying the formula of how to find the area of rectangle...tell them to solve independently.....The result of this activity will be a satisfied one as all children will come out with the same answer which is 36 m²...so tell them to compare the result of the OLD AREA with the NEW AREA.......After comparing both Areas each students here will come to know that a NEW AREA has decreased and that C is correct .
let the length and breadth of room be l and b respectively
ReplyDeletearea of room=lb
after increasing length by 1m=(l+1)
after increasing breadth by 1m=(b+1)
now, according to the question,
(l+1)(b+1)=lb+21
(l+1)(b+1)−lb=21
l+b=20⟶(1)
When, length increased by 1m and breadth is decreased by 1m, then
lb−[(l+1)(b−1)]=5
l−b=6⟶(2)
solving (1) & (2), we get
l=13 and b=7
∴ perimeter=2(l+b)m=2(13+7)=40m
let the length and breadth of room be l and b respectively
Deletearea of room=lb
after increasing length by 1m=(l+1)
after increasing breadth by 1m=(b+1)
now, according to the question,
(l+1)(b+1)=lb+21
(l+1)(b+1)−lb=21
l+b=20⟶(1)
When, length increased by 1m and breadth is decreased by 1m, then
lb−[(l+1)(b−1)]=5
l−b=6⟶(2)
solving (1) & (2), we get
l=13 and b=7
∴ perimeter=2(l+b)m=2(13+7)=40m
The area of a rectangle =length×breadth.For example of we take the length of a rectangle is 8cm and its breadth is 4cm,then the Area will be as follow,A=l×b
ReplyDeleteA=8cm×4cm=32 sq.cm.Hence if the length increased by 1 and its breath decreased by 1,so the new area will be Area =9cm×3cm=27sq.cm.So regarding with the above statement Mr.C is correct as the area is ultimately decreased.
Here both no.A and no. B are wrong because if the length is increased and breadth is decreased , so, the area will automatically change. So no.C is correct as the area is ultimately decreased.
ReplyDeleteArea of rectangle=l*b . suppose if length is 8cm and wide is 6cmthen, 8*6=48.If length increase by 1 and breadth decrease by 1,then area of rectangle=9*5=45.From the above statement C is correct situation.
ReplyDeleteHere both no A. And no B are wrong because if the length is increase and breadth will automatically decrease so the area will change.
ReplyDeleteArea of rectangle=L×B . suppose if length is 10 and wide is 5 then 10×5=50. if length increase by 1 and breadth decrease by 1.
ReplyDelete......The formula for area of rectangle is:
ReplyDeleteArea = Length x Breadth
Then after that let them solves and find out the OLD AREA OF RECTANGLE with 8 m length and 5 m breadth...when the children has solved the problem given and all has came out with the Answers of 40 m²....then during this time tell them to again Find out the NEW AREA OF RECTANGLE but the length here should be increased by 1 m from the old length which is 8 m and the breadth should be decreased 1m from the old breadth which is 5 m.so the new length is 9 m and the new breath is 4 m.....By applying the formula of how to find the area of rectangle...tell them to solve independently.....The result of this activity will be a satisfied one as all children will come out with the same answer which is 36 m²...so tell them to compare the result of the OLD AREA with the NEW AREA.......After comparing both Areas each students here will come to know that a NEW AREA has decreased and that C is correct .
Here both A and B are wrong even with the help of our commonsense once the area is increased or decreased automatically the area will change. But with the help of formula
ReplyDeleteI. E Area=Length+Breadth
With the help of the formula what's ever problem given to students he will understand of find it remains the same or different
This situation can be handled by solving the problem .First of all they should know the formula of area of a rectangle ==length x breadth.
ReplyDeleteLet length=6cm suppose
Breadth =4cm
Area ==lengthxbreadth
==6cmx4cm=24cm2
Now according to A
Length =6+1cm
Breadth=4-1cm
Area=lengthxbreadth
==7x3=21cm2
According to B area will increase
But comparing the original area and the area got by A, we can conclude that B is wrong .
Even A is also wrong because area is not same.
By comparing we found that new area is decreasing from the original area.
So c is correct from the above solution..
Using Rubrics assess assignments consistently from student - to - student
ReplyDeleteHere both A and B are wrong because if the length is increase by 1 and the breadth is decrease by 1 the area will automatically change.
ReplyDeleteBoth A and B are wrong because they wrongly miss the concept of solving problems.
ReplyDeleteThe area of a rectangle =length×breadth.For example of we take the length of a rectangle is 8cm and its breadth is 4cm,then the Area will be as follow,A=l×b
ReplyDeleteA=8cm×4cm=32 sq.cm.Hence if the length increased by 1 and its breath decreased by 1,so the new area will be Area =9cm×3cm=27sq.cm.So regarding with the above statement Mr.C is correct as the area is ultimately decreased.
This situation can be handled by teaching the students the formula of an area of a rectangle and how to apply the formula on solving the problem.
ReplyDeleteBoth A and B are wrong because if length is increased by 1 and breadth is decreased by 1. automatically the area will change. We know that by using the formula of finding the area of a rectangle. Area = length × breadth.
ReplyDeleteHere, Both A and B are wrong
ReplyDeleteIf the length and breadth of rectangle is increased and decreased by 1 respectively, automatically the area will change..
Let us take an example if the length of a rectangle is 5m and the breadth is 3m, therefore area will be length x breadth = 5m x 3m= 15m²-----(A) ,
now if the length of the same rectangle is increased by 1 i.e 5+1= 6m and the breadth decreased by 1 i e 3-1=2m, so the new area will be 6x2= 12m²------(B)
Compare (A) and (B), we see that the original area is 15m² and the new area is 12m² which implies that new area is decreased.
Hence C is correct.
No.C is right one , as the area automatically decrease so both No.A and No.B are wrong.
ReplyDeleteBoth A and B is wrong brcause if area is increase or decrease it will change automatically,so C is right.
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteBoth A and B is wrong because if the area is increasing or decreasing it will change...So C is correct as the area is ultimately decreasing.
ReplyDeleteProof is needed in order that all the three,that is,A,B and C got the same correct answer.
ReplyDeleteModule 9: Activity 5 Area of Rectangle.
ReplyDeleteHere both no.A and no.B are wrong, no.C is correct as the area is ultimately decrease.
Here C is the correct answer. To handle such situation is by allowing A, B and C perform the task on their own by giving values of length and breadth, allowing increasing and decreasing of each dimension. The teacher will just facilitate and guide so that the students A, B and C conclude with the correct answer.
ReplyDeleteHere both A and B are wrong because the area will change...C is correct as the area is decreasing
ReplyDeleteHere both nos are wrong that is A and B are wrong because if the length is increased and breadth is decreased so the area will be automatically change So no c is correct as the area is ultimately decreased
ReplyDeleteHere And B is wrong because if the area is increasing or decreasing it will change C is correct the area is ultimately increasing.
ReplyDeleteBoth A and B are wrong because if length is increased by 1 and breadth is decreased by 1 . Automatic the areas will change. We know that by using the formula of finding the area of rectangle,
ReplyDeleteArea= length × breadth
Here A and B are wrong,they need to learn the formula and problem solving again. And C is correct.
ReplyDeleteMathematics depends upon how the teachers, engaged with children.In the class room atmosphere has to be such that children can participate or learning, articulate their , work, ideas,.... make mistake and talk about them without fear.such and will determine the relation children have with MATHEMATICS solved.
ReplyDeleteA and B are wrong ,Thus, length is increased, breadth is decrease.So,C is changed automatically correct, as the area is decreased.
ReplyDeleteBoth A and B is wrong because if the area is increasing or decreasing it will change.
ReplyDeleteLet's assume A,B and C as students with different points of view. Giving each the same task to solve, some will arrive at different conclusions which may be correct or incorrect. It's up to us as teachers how to handle such situation. Teachers already knew who is correct but Giving them each a chance to prove their answers on the board could help them find out the correct answer themselves. Teachers just need to guide and help them in the process.
ReplyDelete
ReplyDeleteNote: reflecting on the question given,Here both A and B are wrong because if the length is increased by 1 and breadth id decreased by 1, so, the area will automatically change
The best way to handle this situation is to proof it through examples by reminding them the formula of how to find the area of the rectangle which is ......The formula for area of rectangle is:
Area = Length x Breadth
Let us take an example if,the length of a rectangle is 3m and breadth is 2m. Therefore,using the area formula, Area =length ×breadth=3m×2m=6m²..........AIf the length of the rectangle is increased by 1 .then,3+1=4m and if breadth is decreased by 1 then,2-1 =1m.So,the new area will be 4×1=4m².............B
Comparing A and B the original area is 6m² and the new area is 4m² i.e the new area decreased .Therefore C is correct.
This situation seems to have arise due to the students being unclear about the basic idea of finding the area of a rectangle, Therefore, to handle this situation, students needs to be redefined with the concept of finding the area of a rectangle and its formulae
ReplyDeleteI.e Area of a rectangle = Length × Breath
This can be done by citing an example as follows:-
If length =4 unit and breadth = 2 unit
Its Area = (4×2) sq. units.
= 8 sq. units
So, if the length is increase by 1 unit and breadth is decease by 1 unit
The new Area = (4 +1) unit ×(2-1) unit
=(5×1) sq. units
= 5 sq. units
Hence, the area of a rectangle decreases when compared with the area of the original rectangle
ReplyDeleteHere both no.A and no. B are wrong because if the length is increased and breadth is decreased , so, the area will automatically change. So no.C is correct as the area is ultimately decreased.
Let us take an example.
ReplyDeleteIf length of the rectangle is 6m and the breadth is 4m then the area will be 6m×4m=24m^2
So if length increased by 1m and breadth decreased by 1m then the area will become 7m×3m=21m^2.
So both A and B are wrong.
C is correct.
Students should not be scare to make mistakes .As teachers ,We should guide them and make them more understanding about the topic.
Here both no.A and no. B are wrong because if the length is increased and breadth is decreased , so, the area will automatically change. So no.C is correct as the area is ultimately decreased.
ReplyDeleteBoth A and B is wrong because if the area is increasing or decreasing it will change. So, C is changed automatically correct.
ReplyDeleteYoorica suchiang: C is correct as the new area will decrease
ReplyDeleteBy teaching them to apply the formula of how to find the area of a rectangle, we can ask them to solve both the activities on their own. After all the students finished comparing both areas, each student will realize the correct answer as C has stated.
ReplyDeleteBoth no A and no B are wrong because if the length increase and the breath will automatically will decrease so the area will change.
ReplyDeleteHere, Both A and B are wrong
ReplyDeleteIf the length and breadth of rectangle is increased and decreased by 1 respectively, automatically the area will change..
Let us take an example if the length of a rectangle is 5m and the breadth is 3m, therefore area will be length x breadth = 5m x 3m= 15m²-----(A) ,
now if the length of the same rectangle is increased by 1 i.e 5+1= 6m and the breadth decreased by 1 i e 3-1=2m, so the new area will be 6x2= 12m²------(B)
Compare (A) and (B), we see that the original area is 15m² and the new area is 12m² which implies that new area is decreased.
Hence C is correct.
The formula for area of rectangle is:
Area = Length x Breadth.
Both A and B are wrong,if the length and breadth of a rectangle is increase and decreased respectively the area will change .
ReplyDeleteThis situation can be handled by teaching the students the formula of an area of a rectangle and how to apply the formula on solving the problem.
ReplyDeleteHere both A and B are wrong because if the length is increase and breadth is decrease so the area will change. So C is change automatically correct.
ReplyDeleteA and B are wrong .Thus,length is increased , breadth is decreased .So C is changed automatically correct,as the area is decreased.
ReplyDeleteBoth A and B is wrong because if the area is increasing or decreasing it will change.No C is correct because the area is ultimately decreased.
ReplyDeleteThe area of a rectangle =length×breadth.For example of we take the length of a rectangle is 8cm and its breadth is 4cm,then the Area will be as follow,A=l×b
ReplyDeleteA=8cm×4cm=32 sq.cm.Hence if the length increased by 1 and its breath decreased by 1,so the new area will be Area =9cm×3cm=27sq.cm.So regarding with the above statement Mr.C is correct as the area is ultimately decreased.
Here both No.A and No.B.are wrong because if the length is increase and the breadth will automatically decrease so the area will change.
ReplyDeleteThe best way to resolve this problem is to find out the area and comparison. Here, Both A and B are wrong
ReplyDeleteIf the length and breadth of rectangle is increased and decreased by 1 respectively, automatically the area will change..
Let us take an example if the length of a rectangle is 5m and the breadth is 3m, therefore area will be length x breadth = 5m x 3m= 15m²-----(A) ,
now if the length of the same rectangle is increased by 1 i.e 5+1= 6m and the breadth decreased by 1 i e 3-1=2m, so the new area will be 6x2= 12m²-----------(B)
Compare (A) and (B), we see that the original area is 15m² and the new area is 12m² which implies that new area is decreased.
Hence C is correct.
Both A and B are wrong because if the length is increase and the breadth is decrease. The area will change.
ReplyDeleteSo, C is correct and handle situation.
This can be done with an activity. Here I call any four children to volunteer. Other childrens are asked to bring eight sticks of 6m, 7m , 8m and 9m. We take length as 6m and increase length as 7m, and breadth of 9m and decrease breadth of 8m. Then next day we performed the activity where the four children hold the four sticks to form a rectangle and I call the childrens to fit in the rectangle and count the numbers of childrens that fit in. In the same can be done with increased length and decreased breadth, again fit in the childrens and count.This activity will settle the situation and enjoy the activity and we can reach to conclusion that the answer of C is correct.
ReplyDeleteHere both no.A and no.B are wrong, no.C is correct as the area is ultimately decrease.
ReplyDelete
ReplyDeleteHere, Both A and B are wrong
If the length and breadth of rectangle is increased and decreased by 1 respectively, automatically the area will change..
Let us take an example if the length of a rectangle is 5m and the breadth is 3m, therefore area will be length x breadth = 5m x 3m= 15m²-----(A) ,
now if the length of the same rectangle is increased by 1 i.e 5+1= 6m and the breadth decreased by 1 i e 3-1=2m, so the new area will be 6x2= 12m²------(B)
Compare (A) and (B), we see that the original area is 15m² and the new area is 12m² which implies that new area is decreased.
Hence C is correct.
Here both A and B are wrong because if the length is increased by 1 and breadth id decreased by 1, so, the area will automatically change.
ReplyDeleteLet us take an example if,the length of a rectangle is 3m and breadth is 2m. Therefore,using the area formula, Area =length ×breadth=3m×2m=6m²..........AIf the length of the rectangle is increased by 1 .then,3+1=4m and if breadth is decreased by 1 then,2-1 =1m.So,the new area will be 4×1=4m².............B
Comparing A and B the original area is 6m² and the new area is 4m² i.e the new area decreased .Therefore C is correct.
The situation has created a controversial problem which is similar to the mathematical concept of a simplifying solutions for example, if 1 has added to 4 it make out 5, again if 1 is subtracted from 5 then the sum will be remain as before, that is the result is neither decreased nor increased due to the involvement of minus and plus at the same time in one case.Thus, by deducing the findings that if minus is added to plus the result is zero, so the given number or area will remain the same. This strategy will help the students understand the given situation's issue and will enable to resolved the problem better in next turn.
ReplyDeleteHere C is the correct answer. To handle such situation is by allowing A, B and C perform the task on their own by giving values of length and breadth, allowing increasing and decreasing of each dimension. The teacher will just facilitate and guide so that the students A, B and C conclude with the correct answer.
ReplyDeleteThis situation can be handled by teaching the students the formula of an area of a rectangle and also by solving the problems based on area of a rectangle and making them concept clear and even how to apply the formula while solving the problem.
ReplyDeleteBoth A and B are wrong. C is correct because if length of a rectangle is increase by one-thiird and its width is decrease by one- third, then area will be change.
ReplyDeleteBoth A and are wrong because if the length is increase and the breadth is decrease. The area will change.
ReplyDeleteSo, C is correct and handle the situation
Teachers should handle this situation properly so that all the three students would not be discouraged to solve the problem.In this case the teacher should teach the students to use the formula of the area of a rectangle.
ReplyDeleteHere both A and B are wrong because if the length is increase the breadth will automatically decrease and the whole area will change.so the correct answer here is C.
ReplyDeleteHere both A and B are wrong because if the length is increase the breadth will automatically decrease and the whole area will change.so the correct answer here is C.
ReplyDeleteWe can solve this problem with a suitable example. This solution will satisfied these students A,B and C properly.
ReplyDeleteLet us a example. Let the length of rectangular is 5cm and width is 4 cm
Area of rectangular =L×W
5×4=20cmsquire
According to the problem L=5+1=6cm
W=4-1=3cm
Area of new rectangular =6×3=18cmsquie
New area is decreased by 2cmsquire.so the statement of C is correct.
I will explain them in brief and they will know who is right or wrong.
ReplyDeleteI will explain them in brief and they will know who is right or wrong.
ReplyDeleteFirst of all asking them to check the errors properly ang tell them to solve Giving them formula of it. If they still have doubt present the solutions in front of them
ReplyDeleteThe area of a rectangle =length×breadth.For example of we take the length of a rectangle is 8cm and its breadth is 4cm,then the Area will be as follow,A=l×b
ReplyDeleteA=8cm×4cm=32 sq.cm.Hence if the length increased by 1 and its breath decreased by 1,so the new area will be Area =9cm×3cm=27sq.cm.So regarding with the above statement Mr.C is correct as the area is ultimately decreased.
Here A,and B are truly wrong, C is correct because if the length of a rectangle is increased by 1,or the breadth is decreased by1 the Area is different, but to make students understand the fact proof have to be done eg, Let the length of a rectangular =6cm,the breadth =4cm
ReplyDeleteArea= L× B .
Area=6×4=24sqcm .
Hence if L6+1=7cm
Area=7×4=28sqcm .
Accordingly if B is decreased by1=4-1=3.
Therefore the Area
= 6×3=18sqcm.
Explain and let students do it by themselves till they satisfied and found out the fact.
This comment has been removed by the author.
ReplyDeleteHere what c has said would be the correct one because when the recangle increased and breadth decreased by 1 definitely the area would be different . So to solve this question we'd have to refer certain formulas.
ReplyDeleteFormula of area of a rectangle is =Length ×Breath. Here both A and B are wrong. For example if length i 6m and breath is 4m then the area will be Area=(6×4) m^2= 24m^2 ........A. According to B L=(6+1)m and breath is (4-1)m=3m Therefore the area will be A=(7×3)m^2=21m^2.So both A B are wrong hence C is correct.
ReplyDeleteBoth A and B are wrong because if area is increase or decrease it will change automatically ,C is right.
ReplyDeleteTo handle this situation teacher must provide formula to find the area of rectangle for solving the problem.
ReplyDeleteHere, both A and B are wrong because if the length is increased by 1 and the breadth is decreased by 1, so the area will automatically change. Let us take example, if the length of a rectangle is 4 cm and breadth is 3 cm. Therefore, using the area formula of rectangle, Area= length× breadth =4cm×3cm=12sqcm••••••(A) The length of rectangle is increase by 1,then 4+1=5cm and if breadth is decreased by 1,then 3-1=2cm,so, the new area will be 5cm×2cm=10sqcm••••••(B). Comparing A and B the original area is 12 sqcm and the new area is 10sqcm i,e the new area decreased.Therefore C is correct.
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteTo handle this problem, the teacher can remind the students about the formula for area calculation.
ReplyDeleteAfter that, the teacher can ask all of them to solve the problem in their notebooks and figure out who is right, who in this case, is C.
The teacher can solve this problem by letting the students resolve this conflict on their own do that they can learn well. To do that, the teacher can ask A, B and C to solve the problem by giving them the formula for finding the area of the rectangle. Once the students solve the problem, they will figure out who is wrong or right. In this problem, the right answer is given by C.
ReplyDeleteHere,both no A and no B are wrong because,if the length is increased and breathe is decreased the area will automatically charged.No c is correct because the area is ultimately decreased.
ReplyDeleteBoth a and b are wrong... I would first teach them basics about rectangle and area of a rectangle so that they will understand how to calculate the area of a rectangle
ReplyDeleteThe confusion in the students may arise because they are not aware of the dimensions of length and breadth in a rectangle. As teachers we should state some facts that in geometry- all sides of a square are equal. In a rectangle, length pertains to the longest side and breadth is the shorter one. Triangles however do not have a length and breadth but degrees of angles.
ReplyDeleteSo with this concept clear in their mind, children can go ahead and solve the problems using the correct formulas that they have learnt.
Both And B is wrong because if the area is increase or decrease,it will automatically.So C is right
ReplyDeleteStudents need to memorise the formula how to find the area of rectangle. A n B is wrong, C is correct .
ReplyDeleteHere both A and B are totally wrong. C proves that area of rectangle=L×B
ReplyDeleteJustification:
A=L x B
=6cm x 4cm
=24cm
If increasing by 1cm of its length and breadth then,
A=L x B
=7cm x 3cm
=21cm
Therefore it proves that both A and B are wrong.
If both A and B are wrong the area will be change so C is the correct area and and the handle situation
ReplyDeleteStudent need to memories the formula how to find the area of a rectangle ....so A and B are wrong and C is correct.
ReplyDeleteThe area of a rectangle =length ×breadth.
ReplyDeleteFor example of we take the length of a rectangle is 10cm and its breadth is 8cm,then the Area will be as follows,
A=l×b
A=10cm×8cm=80sq.cm.
Hence if the length increase by 1 and its breadth decreased by 1,so the new area will be Area.=9cm×7cm=63sq.cm.
So regarding with the above statement C is correct as the area is ultimately decreased.
Sarkidaroy Suchiang.
The best way to handle the situation is by adding 1 to the given length and subtract 1 from the given breadth of that rectangle. After that to get the exact area of that rectangle is done by using formula i.e. area of a rectangle = length × breadth.
ReplyDeleteA and B are wrong because if the measurements are increase or decrease surely it will change,so here C is correct.
ReplyDeleteThe best way to handle the situation is by using the formula to find the area of a rectangle.
ReplyDeleteArea of a rectangle = length × breadth.
A and B are wrong ,C is correct because if originally L=10cm and B= 5 cm ,then A=L×B=10×5=50cm2
ReplyDeletebut if L is increased to 11cm and B is decreased to 4cm ,then,A=11×4=44cm2
The situation can be handle by teaching them how to find the area of a rectangle by using formula is by multiplying lenght and breadth . If the length and breadth of the rectangle is already given add 1 to the length and subtract 1 in breadth as according to the question 1 is increase in length and 1 decrease in breadth.
ReplyDeleteBoth no A and B are wrong b,'cos if the length is increased and breadth is decreased. So the area will automatically change. No C is correct as the area is ultimately decreased
ReplyDeleteIf such a situation arises, a teacher must show the correct answer on the blackboard with examples to prove.
ReplyDeleteI will explain the formula of area of recrangle, basic of rectangle..
ReplyDeleteI will explain the situation again as the area will be changed
ReplyDeleteProblems solving is through proving, through identities.
ReplyDeleteThe situation can be handled by using the formula to find the area of a rectangle and giving clear examples on the board, such as:
ReplyDeleteLength = 5 Breadth = 4
Area = l x b =20
In this case,
Length increase =1 Breadth decrease =1
Area = l x b
= 6x3=18
Therefore, C is correct. Both A and B are wrong
The area of a rectangle =length×breadth.For example of we take the length of a rectangle is 8cm and its breadth is 4cm,then the Area will be as follow,A=l×b
ReplyDeleteA=8cm×4cm=32 sq.cm.Hence if the length increased by 1 and its breath decreased by 1,so the new area will be Area =9cm×3cm=27sq.cm.So regarding with the above statement Mr.C is correct as the area is ultimately decreased.
The area of rectangle = length × breadth. For example if we take the length of a rectangle is 8cm and its breadth is 4cm, then the area will be as follows, Area = l x b.
ReplyDeleteArea = 8cm x 4cm
= 32 sq cm
Hence if the length is increased by 1(8+1=9) and its breadth is decreased by 1(4-1=3), so the new area will be
Area = 9cm x 3cm = 27 sq cm. So regarding the above statement Mr C is correct as the area is ultimately decreased.
The best way to handle the situation is by making A, B and C calculate the area of the original and the new rectangles by themselves under the guidance of the teacher. This way they will learn whether they are right or wrong and if wrong they will also understand where did they go wrong.
ReplyDeleteThe situation can be handled by using the formula to find the area of a rectangle.
ReplyDeleteBoth A and B are wrong
If the length and breadth of rectangle is increased and decreased by 1 respectively, automatically the area will change..
Let us take an example if the length of a rectangle is 5m and the breadth is 3m, therefore area will be length x breadth = 5m x 3m= 15m²-----(A) ,
now if the length of the same rectangle is increased by 1 i.e 5+1= 6m and the breadth decreased by 1 i e 3-1=2m, so the new area will be 6x2= 12m²------(B)
Compare (A) and (B), we see that the original area is 15m² and the new area is 12m² which implies that new area is decreased.
Hence C is correct.
Here the area of rectangle is length×breadth.
ReplyDeleteso if the length is increasing by 1 and breadth is decreasing by 1 the areas automatically will change
Then A and B are wrong
Here, Both A and B are wrong
ReplyDeleteIf the length and breadth of rectangle is increased and decreased by 1 respectively, automatically the area will change..So C is correct as the area is ultimately decreasing.
Explanation is needed to make all of them A, B and C understand by solving the problem through the correct formula.
ReplyDeleteIn this case the teacher have to be correct it by solving the problem.
ReplyDeleteBoth A and B is wrong and C is the correct answer as the area is ultimately decreasing, here the teacher needs to give proper knowledge about place value.
ReplyDeleteTo solve the problems and to know the correct answer we should go the correct formula.
ReplyDeleteYes, both A and B are wrong because if the length is increase and the breadth is decreased, so ,.the area will change.No. C is correct as the area is ultimately decrease.
ReplyDeleteHere both A and B are wrong. So to handle this situation we need by using the formula and help them to solved and find the correct answer.
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ReplyDeleteHere both A and B are wrong because if the length is increased by 1 and breadth id decreased by 1, so, the area will automatically change.
ReplyDeleteLet us take an example if,the length of a rectangle is 3m and breadth is 2m. Therefore,using the area formula, Area =length ×breadth=3m×2m=6m²..........AIf the length of the rectangle is increased by 1 .then,3+1=4m and if breadth is decreased by 1 then,2-1 =1m.So,the new area will be 4×1=4m².............B
Comparing A and B the original area is 6m² and the new area is 4m² i.e the new area decreased .Therefore C is correct.
Bóth AandB are wrong and C is correct.. Oñce you have increase or decrease a number, the result will always be different
ReplyDeleteHere A and B are wrong because if the length is increased and the breadth is decreased, so the area will be automatically change.So the no. C is the correct as the area is ultimately decreased.
ReplyDeleteThis type of situation can be handled by giving suitable examples to the student
ReplyDeleteFor example.Take length =5unit and breadth=4unit.Now the area of rectangle=5x4=20sq unit if the length is increased by 1and breadth is decreased by1,then the new length will be= 6unit and breadth=3unit and area will be 6x3=18sq units.Now they can understand who is correct and how it is
Both A and B are wrong because if area increase or decrease it will change automatically C is right.To handle this situation tescher must provide formula to find the area of rectangle for solving the problem.
ReplyDeleteHere n.o A and n.o B are wrong because if the length is increase and the breadth us decrease. So, the area will automatically change . So n.o C is correct as the same area is ultimately decrease.
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ReplyDeleteThe area of a triangle remains the same as in triangle both side of triangle are the same.
ReplyDeleteThis situation can be handled by teaching the students the formula of an area of a rectangle and how to apply the formula on solving problems
ReplyDeleteHere the problem is both wrong either in A or in B, if the length and breadth increase and decrease by 1the area of rectangle will change automatically. So let's go by example if the length is 4 and breadth is 5 therefore by formula area=L❌B, 4❌5=20m------A.
ReplyDeleteAnd if L and B increase by 1in each, then 4+1=5 and 5+1=6,so A =l*b=5❌6=30----B.
Now, in comparison A and B original area is 20m and 30m.so,C is correct which implies the new area changed.
Both A and B are wrong
ReplyDeleteIf the length and breadth of rectangle is increased and decreased by 1 respectively, automatically the area will change
The best way to handle this Situation is a proof through examples by reminding than the formula of how to find the area of rectangle formula: Area=length×breadth and then let them solve.
ReplyDeleteThe best way to handle the situation is by giving each one of them an opportunity to prove who is right.In the end they themselves will come to a conclusion that C is right as he can proved that.As a teacher my job is easier as I only have to appreciate the students for having an argument about something discussing in the classroom and someone is able to prove that he develops a spatial understanding which is my curricular expectations.
ReplyDeleteArea of rectangle=L×B.suppose if length is 10 and wide is 5 then 10×5=50.if length increase by 1 and breadth decrease by 1.
ReplyDeleteA and B got the wrong assumption, where neither A ( with its area) remain the same nor B(with its area) is increasing. In this situation only C got the correct assumption where both length and breath with its area is decreasing. By providing them examples of area formula, L*B.
ReplyDeleteTo handle this situation is to proof by using the formula, how to find the area of the rectangle.Area of a rectangle isArea=Length ×Breadth .Then after that let them solves and find out the old Area of Rectangle with 6m Length and 5mBreadth... When the children has solved the problem given and all has came out with the Answers of 30m²....Then during this time tell them to find out the new area of Rectangle but the Length here should be increased by 1m²from the old Length which is 6m and the Breadth should be decreased 1m from the old Breadth which is 5m.So the new Length is 7m and the new Breadth is 4m...By applying the formula of how to find the area of Rectangle....Tell them to solve independently... The result of this activity will be a satisfied one as all children will come out with the same Answers which is 28m².... The children will then compare the result of the old Area with the New Area... After comparing both Areas each students here will come to know that a New Area has decreased and that c is correct.
ReplyDeleteBoth A and B is wrong because if the area is increase or decrease ,it will change automatically, so C is the right one.
ReplyDeleteTo handle this situation is to proof by using the formula,how to find the Area of the Rectangle.Area of a Rectangle is: Area=Length×Breadth.Then after that let them solves and find out the old Area of Rectangle with 6m Length and 5m Breadth.... When the children has solved the problem given and all has came out with the Answers of 30m²....Then during this time tell them to find out the New Area of Rectangle but the Length here should be increased by 1m from the old Length which is 6m and the Breadth should be decreased 1m from the old Breadth which is 5m.So the new Length is 7m and the new Breadth is 4m...By applying the formula of how to find the Area of Rectangle....Tell them to solve independently.... The result of this activity will be a satisfied one as all children will come out with the same Answers which is 28m².... The children will then compare the result of the old Area with the New Area.... After comparing both Areas each students here will come to know that a New Area has decreased and that C is correct.
ReplyDeleteएक आयत की लंबाई 1 मीटर बढ़ाई जाती है और चौड़ाई 1 मीटर हटाई जाती है तो क्षेत्रफल में क्या परिवर्तन होता है इसके लिए बच्चों को समूह बनाकर उन्हें अलग-अलग ढंग से समझाया जाएगा और गतिविधि के द्वारा उनको प्रदर्शित करा कर स्थिति स्पष्ट की जाएगी जिससे उनकी संसद की भावना समाप्त हो सके और वह स्पष्ट रूप से तत्व को समझ सके
ReplyDeleteA and b are wrong if the length is increased by 1 and the breadth is decreased by 1 then obviously the area of rectangle will change.
ReplyDeleteIn this situation since the length and the breadth of the rectangle is increased ,therefore the area of the rectangle will increase.Hence the statement made by B is correct.
ReplyDeleteIn this situation since the length and the breadth of the rectangle is increased therefore the area of the rectangle will increase.Hence the statement made by B is correct.
ReplyDeleteThis is a word problem in Mathematics. Therefore we cannot say that either A, B or C is correct or wrong. Anyone can be correct, as it depends on what values is given in the question. Hence teachers should make the students aware and that they are fully equipped with the knowledge of Addition, Subtraction , Multiplication and the formula for the area of Rectangle. In this case as teachers we should be able to guide the students to use all properties of Addition, Subtraction and Multiplication in the correct form.
ReplyDeleteThe best way to handle the situation is to provide them with many examples to solve the problem by using the formula for finding the area of a rectangle.
ReplyDeleteTo make them understand first let them fold 2 paper into a a rectangle shape and assigned the length and breath of a rectangle according to ther liking eg length 5cm breadth 3cm but it should be the same for all three student now ask the student to increase the length and decrease the breadth by 1cm on one of the fold paper and compare it and then teach them the formula of area
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ReplyDeleteThe formula for area of rectangle is:
ReplyDeleteArea = Length x Breadth
Let area be X=5m x 3m
The area of the trip angle is 15 m²
So if length is increase by 1 ie 5+1=6m and breadth decrease by 1 ie 3-1=2m
Then the area= 6m x 2m=12m²
In this case it show both A & B are wrong C is correct because the new area is decrease
This situation can be handled by asking the students to use the formula of finding the area of rectangle (area=length x breadth) .After using the correct formula all students will come to know that if we increase or decrease the length and breadth of a rectangle the area not be the same.
ReplyDeleteHere both No A and no B are wrong because the length is increased and breadth is decreased,so the area will automatically change,so no C is correct as the area is ultimately decreased.
ReplyDeleteA and B are wrong because if the length is increased by 1 and the breadth is decreased by 1 then the area of Rectangle will change.
ReplyDeleteBoth a and b are wrong and c is correct.
ReplyDeleteThe area of a rectangle = length × breadth. Suppose, we take the length is 10 cm and it's breadth is 5 cm then the area will be as follows :
ReplyDelete10 cm × 5 cm = 50 sq. cm.
Both A and B are wrong but C is correct as the area is ultimately decreased.
The best way to handle this situation is to make them or prove them by showing them the specific formula.
ReplyDeleteFirst I will try to solve each theory given by A,B and C.
ReplyDeleteThen the correct theory will be explain to the students. After which the students given the correct theory will be awarded a round of applause and the students given the wrong theory also I will encourage them to keep focus and work more in problems. Appreciation also will be given to all the students for their effort of trying to solve and understand the problems.
Here, Both A and B are wrong
ReplyDeleteIf the length and breadth of rectangle is increased and decreased by 1 respectively, automatically the area will change.The best way to handle this situation is to prove it through examples by reminding them the formula of how to find the area of the rectangle which is ;
Area = Length x Breadth
1. In this case, we cannot say that either A, B, or C are correct or wrong.
ReplyDelete2. But anyone can be correct, it can decrease, increase or remain the same as it depends on the given numbers to be calculated.
3. If these kinds of problems are faced by th students they should be well instructed and equipped with integers of addition, subtraction and multiplication.
4. Therefore, as teachers we should make them aware and guide them in all the properties of addition, subtraction and multiplication in a stepwise calculation.
Here both A and B are wrong, C is correct as the area is ultimately decrease
ReplyDeleteInvolvement of students is good. They are expressing their views. They must be taught the formula of area then ask them to tell the aswer.First,I will explain them what is area? Via activities,board and videos.
ReplyDeleteAfter that only they will know what's wrong/right.
The best way to handle this situation is to proof it through examples by reminding them the formula of how to find the area of the rectangle.
ReplyDeleteBoth A&B is wrong because if the area is increasing or decreasing it will change , so C is automatically correct
ReplyDeleteBoth A and B are wrong and C is correct because the area will decrease.In this case first of all let the students do their own job to solve this problem for all three i.e for A,B and C and let them to compare between these three results so that they can understand better.
ReplyDeleteHere, Both A and B are wrong
ReplyDeleteIf the length and breadth of rectangle is increased and decreased by 1 respectively, automatically the area will change..
Let us take an example if the length of a rectangle is 5m and the breadth is 3m, therefore area will be length x breadth = 5m x 3m= 15m²-----(A) ,
now if the length of the same rectangle is increased by 1 i.e 5+1= 6m and the breadth decreased by 1 i e 3-1=2m, so the new area will be 6x2= 12m²------(B)
Compare (A) and (B), we see that the original area is 15m² and the new area is 12m² which implies that new area is decreased.
Hence C is correct.
Both A and B are wrong because if the length is increase and breadth will decrease and so the area also change.Here C is correct, but to handle this situation is to proof it by given them the formula, and then after that let them to solve and find out the correct answer .
ReplyDeleteIf length of a rectangle is increased by 1 and breadth decreased by 1 the area enclosed by the rectangle will not remains the same but the length of a rectangle will increased whereas breadth will decreased,it does not remains the same.
ReplyDeleteThe area of a rectangle =length×breadth.For example of we take the length of a rectangle is 8cm and its breadth is 4cm,then the Area will be as follow,A=l×b
ReplyDeleteA=8cm×4cm=32 sq.cm.Hence if the length increased by 1 and its breath decreased by 1,so the new area will be Area =9cm×3cm=27sq.cm.So regarding with the above statement Mr.C is correct as the area is ultimately decreased.
This situation can be handled by teaching the students the formula of an area of a rectangle and how to apply the formula on solving the problem.
ReplyDeleteThe area of a rectangle =length×breadth.For example of we take the length of a rectangle is 8cm and its breadth is 4cm,then the Area will be as follow,A=l×b
ReplyDeleteA=8cm×4cm=32 sq.cm.Hence if the length increased by 1 and its breath decreased by 1,so the new area will be Area =9cm×3cm=27sq.cm.So regarding with the above statement Mr.C is correct as the area is ultimately decreased.
Here both A and B are wrong, C is correct as the area is ultimately decreas
ReplyDeleteHere both no.A and no. B are wrong because if the length is increased and breadth is decreased , so, the area will automatically change. So no.C is correct as the area is ultimately decreased.
ReplyDeleteBothside A and B are wrong, C is right one, as the are automatically decreased A and B, therefore, The students will be able to know about measurement of area.
ReplyDeleteBoth A and B are wrong in their inferences C is correct .All three children should be given the activity to measure the area of the rectangle according to formula so that they cone to their correct conclusion through experimentation
ReplyDeleteThe situation canbe handled by teaching the students the formula of an area of rectangle and how to apply the concept of problem solving .
ReplyDeleteHere both A and B are wrong and only C is correct because if the length and breadth of a rectangle is increased and decreased by 1 respectively the area will automatically change.
ReplyDeleteSo, to make a satisfaction to all students the teacher must show them various examples how to calculate area,and show them that if the area of all given examples are changed by decreasing and increasing 1respectively on length and breadth the area changed.
Example:
Length=12,breadth=4,Area=48.
Length=11,breadth=5,Area=55.
Length=13,breadth=3,area=39.
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ReplyDeleteWe can handle this situation by teaching the students first the formula of area of rectangle and show them how to apply the formula on solving the problem to get the correct answer.
ReplyDeleteBoth A and B are wrong because if length is increase by 1and breadth is decrease by 1, automatically the area will change.We know that by using the formula of finding the area of a rectangle.Area=length×breadth.
ReplyDeleteTo handle this situation,as teacher the first and foremost method is to show the student the formula of the area of a rectangle i.e Area of a Rectangle=Length×Breadth.
ReplyDeleteAllow the student to calculate by themselve inorder to see whether they are clear or not after showing them the formula.If the student can solve this,asked them to add 1 to the length of a rectangle and subtract 1 to the breadth of a rectangle.Show them the method to add and subtract by 1 in length and breadth respectively.Then finally the correct answer will appear.Hence C is correct in the above saying.
Here, both A and B are wrong . If the length and breath of rectangle is increase and decrease by 1 respectively automatically the area will change.
ReplyDeleteHence C is correct.
In this case both A and B are wrong but the teacher should handle the situation sensitively and make sure she doesn't harm their sentiments but should encourage them for sharing their view
ReplyDeleteBoth A and B are wrong. We can solve this problem by reminding the formula of area of the rectangle and solve the problem by proving it .If the length or breadth are change the area will be change.
ReplyDeleteBoth A and B are wrong because if length is increased by 1 and breadth is decreased by 1 automatically the area will change. We know that by using the formula of finding the area of a rectangle Area = Length ×breadth.
ReplyDeleteHere both A andB are wrong because if the length and breadth of a rectangle is increased and decreased by 1 ,so the area will automatically change.
ReplyDeleteLet us take an example,if the length of a rectangle is 4m and breadth is 3m by using the area formula,
Area=length×breadth=4×3=12sqm_______A
Now if the length of the same rectangle is increased by 1,i.e.4+1=5m,and the breadth is decreased by 1,i.e.3-1=2m
So the new area will be5×2=10sqm
If we compare (A) and (B) we see that the original area is 12sqm and the new area is decreased 10sqm which implies that new area is decreased Hence C is correct.
Here both A andB are wrong because if the length and breadth of a rectangle is increased and decreased by 1 ,so the area will automatically change.
ReplyDeleteLet us take an example,if the length of a rectangle is 4m and breadth is 3m by using the area formula,
Area=length×breadth=4×3=12sqm_______A
Now if the length of the same rectangle is increased by 1,i.e.4+1=5m,and the breadth is decreased by 1,i.e.3-1=2m
So the new area will be5×2=10sqm
If we compare (A) and (B) we see that the original area is 12sqm and the new area is 10sqm which implies that new area is decreased Hence C is correct.
Suppose length is 6cm and breadth is 5cm then area would be length x breadth(lxb)
ReplyDelete6x5,=35
It is said that length will increase by one and breadth will decrease by one
7x4=28.so a and b is wrong c is correct
Both A and B are wrong and only C is correct because if the length and breadth of a rectangle is increased and deceased by 1 respectively the area will automatically change.
ReplyDeleteWe can show them the formula of area of rectangle and teach them in a proper way to handle the problem.
ReplyDeleteFirstly, the teacher should make them clear about the concept of rectangle such as shape, length, breadth, how to find area of a rectangle, perimeter of a rectangle. The teacher then should allow them to solve the question individually, after they are done they can compare their answers among them, in this way they will be able to correct their mistakes and also learn various methods of solving problems among themselves. This will also promote a spirit of cooperation among them.
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ReplyDeleteThis comment has been removed by the author.
ReplyDeleteIn this kind of a situation, we have to make students understand that they are wrong or why the third person is right. To make them realise their mistakes, basic concepts and formulae should be taught properly. It is only through understanding that they will be able to accept their mistakes.
ReplyDeleteThe best way to handle this situation is a proof through examples by reminding than the formula of how to find the area of the rectangle
ReplyDeleteBoth A and B are wrong because if the length is increased by 1 and breadth is decreased by 1 automatically the area will change.
ReplyDeleteTo handle this situation lets take an example ,
Area of rectangle =lenght(l) x breadth(b)
If the length of a rectangle is 6cm and breadth is 4cm.
Therefore, the area of rectangle is A=l x b =6x4=24cm
Now, if the length of the same area is increased by 1 i.e. 6+1=7cm, and breadth is decreased by 1i.e. 4-1=3cm.
So, the new area will be A =7x3=21cm
Regarding the above solution C is correct as the new area is decreased.
No.A and No.B both are wrong.If the length increased and the breadth is decreased.automitically the area will change.Here No.Cis the correct answer.
ReplyDeleteNo.A and No.B both are wrong.If the length increased and the breadth is decreased.automitically the area will change.Here No.Cis the correct answer.
ReplyDeleteThis situation can be handled by teaching the students the formula of an area of a rectangle and also by solving the problems based on area of a rectangle and making them concept clear and even how to apply the formula while solving the problem.
ReplyDeleteWe know that,
ReplyDeleteArea of the rectangle= length x breadth
Given, length is increased by 1 and breadth is decreased by 1.
Let us take an example if the length of a rectangle is 7 m and the breadth is 5 m, then area will be length x breadth = 7 m x 5 m= 35m²---(i) ,
And if the length of the same rectangle is increased by 1 i.e 7+1= 8 m and the breadth decreased by 1 i e 5-1=4 m, so the new area will be 8x4= 32m²---(ii)
Compare (i) and (ii), we see that the original area is greater than the new area.
Hence, options A and B are wrong but C is correct.
The teacher should give the correct formula that the students shouldn't misunderstand. Here A and B are misunderstood while C is correct, as the area of a rectangle is automatically changed.
ReplyDeleteBoth A and B are wrong because if the Length is increase by 1 and the Breadth is decrease by 1 the area will change.So C is correct as the area ultimately decreasing.
ReplyDeleteBoth A and B are wrong because if the Length is increase by 1 andthe Breath is decrease by 1 the area will chenje. So C is correct as the area ultimately decreasing.
ReplyDeleteThe best way to handle this situation is to remind them the formula of the area of a rectangle i.e Area of a rectangle= Length×Breadth. Let says the length of a rectangle is 3m and the breadth is 5m. Therefore, Area of a rectangle = 3 x 5 sq m = 15 sq m. According to A, length of a rectangle is increased by 1 and it means that Length = 3 + 1 = 4 m and breadth decreased by 1 i.e Breadth = 5 - 1 = 4 m. The new Area of a rectangle = Length X Breadth = 4 X 4 sq m= 16 sq m. In this case we see that the previous Area of a rectangle = 15 sq m and the New Area of a rectangle = 16 sq m. Therefore, B is correct in this case.
ReplyDeleteHere both are wrong because they wrongly miss the concept of solving the problems
ReplyDeleteBoth A and B is wrong because if the area is increase or decrease, it will change automatically,so c is the correct one because the new area is decrease.
ReplyDeleteBoth A and B is wrong because if the area is increase or decrease, it will change automatically,so c is the correct one because the new area is decrease.
ReplyDeleteIf We do not understand the person's view point we run the right problem which could make the conflict worse
ReplyDelete