499
edits
Changes
From Karnataka Open Educational Resources
Series of Activities on Number Systems (view source)
Revision as of 22:42, 2 June 2015
, 22:42, 2 June 2015→Part III: The number line in mathematics
Line 261:
Line 261:
+
Click [http://karnatakaeducation.org.in/KOER/Maths/numberlineAddition.html here] for an animation.<br>
Click [http://karnatakaeducation.org.in/KOER/Maths/numberlineAddition.html here] for an animation.<br>
Click [http://karnatakaeducation.org.in/KOER/Maths/numberlineAddition.ggb here] to download the Geogebra file.<br>
Click [http://karnatakaeducation.org.in/KOER/Maths/numberlineAddition.ggb here] to download the Geogebra file.<br>
+'''Bridge course Resource'''<br>
+'''Topic:Number system'''<br>
+'''Activity : Understanding numbers, properties through number line'''<br>
+'''Time duration: 60 minutes'''<br>
+'''Materials required: paper ,pencils/sketch pens'''<br>
+'''Objectives:'''<br>
+1. Understanding what is a number line<br>
+2. Understanding properties(behaviour) of positive and negative numbers through number line<br>
+3. Understanding number sentences /operations of numbers on the basis properties of numbers.<br>
+4. Compare numbers/ordering numbers<br>
+Pre-requisites:<br>
+Students know about numbers,Numbers are continuous, counting, quantities for ex: difference between 2 books,2 kgs of apples or 2 litres of milk,2 mts .....<br>
+'''Note for the teachers :'''<br>
+Please emphasise that positive numbers increase the quantities and negative numbers decreases the quantity(amount)<br>
+'''Procedure:'''<br>
+'''Step 1'''<br>
+Ask boys to write positive number and girls to write negative numbers on a sheet of paper. Each one should write one number. Instruct them to arrange the numbers in order on the floor.
+Now ask boy and girl to come one after other to keep the number which they have written .
+Suppose the first boy comes and keeps +5 then call other girl ask her to keep her number .
+She can keep it anywhere she wants (imagine she has -7 on her sheet)
+But the real fun starts when the third one(boy) will come(imagine he has +10 on his sheet)
+You have to help him to keep the number in a proper order as he will have a positive number you should guide him where he should keep it and why?<br>
++5<br>
+-7<br>
+
+If the numbers are kept as above where +10 should be placed?why?<br>
+For this we need to explain +5 has property of increasing the quantity by 5<br>
+whereas -7 has a property of decreasing the quantity by -7,(+5 is more than -7) so where should be place for +10 <br>.
++10 has a nature of increasing the quantity more than what +5 does .so keep it above +5.<br>
+(+10 is more than +5)<br>
+
++10<br>
++5<br>
+-7<br>
+
+If the next girl comes with -4 ,where she should keep it?<br>
+Repeat the developmental questions like <br>
+What is the behaviour of -7 and -4 <br>
+(-7 decrease the quantity by 7 where as -4 decrease any quantity just by 4)<br>
+Try to extract from them that -4 is more than -7.<br>
+
+Continued pattern will be <br>
++10<br>
++5<br>
+-4<br>
+-7<br>
+
+
+Place all the numbers what they have written on the sheet.<br>
+'''Step:2'''<br>
+Ask them <br>
+Is there any number missed in between?<br>
+If the answer is yes ask them again to write the missed numbers and repeat the activity by placing those numbers in a right place, which completes the number line. Now explain number line is a model for representing numbers .<br>
+
+Now the number pattern will look like this after filling the gaps<br>
+
+-9<br>
+-8<br>
+-7<br>
+-6<br>
+-5<br>
+-4<br>
+-3<br>
+-2<br>
+-1<br>
+0<br>
++1<br>
++2<br>
++3<br>
++4<br>
++5<br>
++6<br>
++7<br>
++8<br>
++9 (You can also ask which is the last number?) The number arrangement need not be horizontal<br>
+'''Step:3'''<br>
+Now write some number sentences as below .Help them to interpret the sentences.<br>
+
+4+(+3)=+7<br>
+ The value of 4 increased to +7 when it is added to +3 (+3 increases the value of 4 by how much?)<br>
+4+(-3)=+1<br>
+ The value of 4 decreased to +1when it is added to -3 (-3 decreases the value of 4 by how much?)<br>
+-4+(+3)=-1<br>
+ The value of -4 increased to +7 when it is added to +3 (+3 increases the value of 4 by how much?)<br>
+-4+(-3)=-7<br>
+Help them to interpret the above sentences.<br>
+Give some examples to verify the resuts like<br>
+
+-4+(-3)=-1 <br>
+Do they able to check value of -4 should decrease by 3.But resultant value -1 is greater than -4<br>
+So this is a wrong statement.Askthem to correct it.<br>
+
+Prepare worksheets for practise.<br>
+
+
+
+
+
'''How to do the activity - Multiplication'''<br><br>
'''How to do the activity - Multiplication'''<br><br>
Line 887:
Line 986:
TOPIC:NUMBER SYSTEM[[File:Number system -Resource material_html_m21619cb9.png|400px]][[File:Number system -Resource material_html_m6187dae0.png|400px]][[File:Number system -Resource material_html_m763a208c.png|400px]][[File:Number system -Resource material_html_m614b607b.png|400px]][[File:Number system -Resource material_html_m330e2a.png|400px]][[File:Number system -Resource material_html_m77c360a2.png|400px]][[File:Number system -Resource material_html_m7b853267.png|400px]][[File:Number system -Resource material_html_m7b853267.png|400px]][[File:Number system -Resource material_html_m6f20bce3.png|400px]][[File:Number system -Resource material_html_m3aee68a.png|400px]][[File:Number system -Resource material_html_m1f589acc.png|400px]][[File:Number system -Resource material_html_54627769.png|400px]][[File:Number system -Resource material_html_39498010.png|400px]][[File:Number system -Resource material_html_360ba54.png|400px]][[File:Number system -Resource material_html_60f99847.png|400px]][[:File:Number system -Resource material_html_58f2d11d.png]][[File:Number system -Resource material_html_33f3ff3f.png|400px]][[File:Number system -Resource material_html_4df41ad.png|400px]][[File:Number system -Resource material_html_4b50dacc.png|400px]]
TOPIC:NUMBER SYSTEM[[File:Number system -Resource material_html_m21619cb9.png|400px]][[File:Number system -Resource material_html_m6187dae0.png|400px]][[File:Number system -Resource material_html_m763a208c.png|400px]][[File:Number system -Resource material_html_m614b607b.png|400px]][[File:Number system -Resource material_html_m330e2a.png|400px]][[File:Number system -Resource material_html_m77c360a2.png|400px]][[File:Number system -Resource material_html_m7b853267.png|400px]][[File:Number system -Resource material_html_m7b853267.png|400px]][[File:Number system -Resource material_html_m6f20bce3.png|400px]][[File:Number system -Resource material_html_m3aee68a.png|400px]][[File:Number system -Resource material_html_m1f589acc.png|400px]][[File:Number system -Resource material_html_54627769.png|400px]][[File:Number system -Resource material_html_39498010.png|400px]][[File:Number system -Resource material_html_360ba54.png|400px]][[File:Number system -Resource material_html_60f99847.png|400px]][[:File:Number system -Resource material_html_58f2d11d.png]][[File:Number system -Resource material_html_33f3ff3f.png|400px]][[File:Number system -Resource material_html_4df41ad.png|400px]][[File:Number system -Resource material_html_4b50dacc.png|400px]]
−== Teachers Corner ==
== Teachers Corner ==
