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| __FORCETOC__ | | __FORCETOC__ |
− | =Activity - Name of Activity= | + | =Activity - Understanding numbers, properties through number line= |
| + | ==Objectives== |
| + | #Understanding what is a number line<br> |
| + | #Understanding properties(behaviour) of positive and negative numbers through number line<br> |
| + | #Understanding number sentences /operations of numbers on the basis properties of numbers.<br> |
| + | #Compare numbers/ordering numbers<br> |
| | | |
| ==Estimated Time== | | ==Estimated Time== |
− | | + | 60 minutes |
| ==Materials/ Resources needed== | | ==Materials/ Resources needed== |
| + | Paper, pencils/ sketch pens |
| ==Prerequisites/Instructions, if any== | | ==Prerequisites/Instructions, if any== |
| + | 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> |
| + | Please emphasise that positive numbers increase the quantities and negative numbers decreases the quantity(amount)<br> |
| ==Multimedia resources== | | ==Multimedia resources== |
| ==Website interactives/ links/ simulations/ Geogebra Applets== | | ==Website interactives/ links/ simulations/ Geogebra Applets== |
| ==Process (How to do the activity)== | | ==Process (How to do the activity)== |
| + | ===Step 1=== |
| + | [[File:Number line activity.png|200px]]<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 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> |
| + | 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=== |
| + | 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 === |
| + | Now write some number sentences as below .Help them to interpret the sentences.<br> |
| + | |
| + | #4+(+3)=+7 - 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 - 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 - 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 - |
| + | |
| + | |
| ==Developmental Questions (What discussion questions)== | | ==Developmental Questions (What discussion questions)== |
| + | #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> |
| + | |
| ==Evaluation (Questions for assessment of the child)== | | ==Evaluation (Questions for assessment of the child)== |
| + | ===Worksheets=== |
| ==Question Corner== | | ==Question Corner== |
| ==Activity Keywords== | | ==Activity Keywords== |
| | | |
| '''To link back to the concept page''' | | '''To link back to the concept page''' |
− | [[Topic Page Link]] | + | [[Number]] |