head 1.1; access; symbols; locks; strict; comment @# @; 1.1 date 2018.03.14.16.01.40; author root; state Exp; branches; next ; desc @This document (U3_L3_A4_ Find the Relationship 2) is re-created by black-butterfly-cc on 07 May 2017 @ 1.1 log @Initial revision @ text @{ "_id": { "$oid": "59425fd34975ac013d976bfa" }, "_type": "GSystem", "access_policy": "PUBLIC", "altnames": "3.4 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u092c\u0924\u093e\u0913 2", "annotations": [], "attribute_set": [], "author_set": [], "collection_set": [], "comment_enabled": null, "content": "
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proportional reasoning \r\n

\u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u092c\u0924\u093e\u0913 2

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\u0905\u092a\u0928\u0947 \u091c\u094d\u091e\u093e\u0924 \u0915\u093f\u090f \u0917\u090f \u0909\u0924\u094d\u0924\u0930 \u0915\u0947 \u0938\u0924\u094d\u092f\u093e\u092a\u0928 \u0939\u0947\u0924\u0941 \u092a\u091f\u094d\u091f\u093f\u092f\u094b\u0902 \u0915\u094b \u090f\u0915 \u0932\u093e\u0907\u0928 \u092e\u0947\u0902 \u0936\u0940\u091f \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 \u0915\u0947 \u0938\u093e\u0925 \u0930\u0916\u0947\u0902\u0964
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\u0905\u092c \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u093e\u0930\u0923\u0940 \u0915\u094b \u092a\u0942\u0930\u093e \u0915\u0930\u0947\u0902 : 

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\r\n\r\n\r\n\t\r\n\t\r\n\t\r\n\t\t\r\n\t\t\t\r\n\t\t\t\r\n\t\t\t\r\n\t\t\t\r\n\t\t\r\n\t\t\r\n\t\t\t\r\n\t\t\t\r\n\t\t\t\r\n\t\t\t\r\n\t\t\r\n\t\t\r\n\t\t\t\r\n\t\t\t\r\n\t\t\t\r\n\t\t\t\r\n\t\t\r\n\t\t\r\n\t\t\t\r\n\t\t\t\r\n\t\t\t\r\n\t\t\t\r\n\t\t\r\n\t\r\n
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\u0936\u0940\u091f \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 (l)

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\u0909\u092a\u092f\u094b\u0917 \u092e\u0947\u0902 \u0932\u0940 \u0917\u0908 \u092a\u091f\u094d\u091f\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e (n)

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l x n

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l/n

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\u092f\u0926\u093f \u0928\u093e\u092a\u0928\u0947 \u0935\u093e\u0932\u0940 \u092a\u091f\u094d\u091f\u0940 \u0932\u0902\u092c\u0940 \u0939\u0948, \u0924\u094b \u0909\u092a\u092f\u094b\u0917 \u092e\u0947\u0902 \u0932\u0940 \u0917\u0908 \u092a\u091f\u094d\u091f\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e ______ ( \u0915\u092e / \u0905\u0927\u093f\u0915 ) \u0939\u094b\u0917\u0940|
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\r\n\u092f\u0926\u093f \u0928\u093e\u092a\u0928\u0947 \u0935\u093e\u0932\u0940 \u092a\u091f\u094d\u091f\u0940 \u091b\u094b\u091f\u0940 \u0939\u0948, \u0924\u094b \u0909\u092a\u092f\u094b\u0917 \u092e\u0947\u0902 \u0932\u0940 \u0917\u0908 \u092a\u091f\u094d\u091f\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e ______ ( \u0915\u092e / \u0905\u0927\u093f\u0915 ) \u0939\u094b\u0917\u0940|
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\r\n\u0915\u094d\u092f\u093e \u0906\u092a \u090a\u092a\u0930 \u0926\u0940 \u0917\u0908 \u0938\u093e\u0930\u0923\u0940 \u0915\u0947 \u092a\u0939\u0932\u0947 \u0914\u0930 \u0926\u0942\u0938\u0930\u0947 \u0915\u093e\u0932\u092e\u094b\u0902 \u092e\u0947\u0902 \u0915\u094b\u0908 \u092a\u0948\u091f\u0930\u094d\u0928 \u0926\u0947\u0916\u0924\u0947 \u0939\u0948\u0902 ?
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\r\n\u0915\u094d\u092f\u093e \u0906\u092a \u090a\u092a\u0930 \u0926\u0940 \u0917\u0908 \u0938\u093e\u0930\u0923\u0940 \u0915\u0947 \u0924\u0940\u0938\u0930\u0947 \u0914\u0930 \u091a\u094c\u0925\u0947 \u0915\u093e\u0932\u092e\u094b\u0902 \u092e\u0947\u0902 \u0915\u094b\u0908 \u092a\u0948\u091f\u0930\u094d\u0928 \u0926\u0947\u0916\u0924\u0947 \u0939\u0948\u0902 ?
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\r\n\u0939\u092e \u0926\u0947\u0916\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f ___ \u0915\u093e\u0932\u092e \u092e\u0947\u0902 \u0938\u092d\u0940 \u092e\u093e\u0928 \u0938\u092e\u093e\u0928 \u0939\u0948\u0902\u0964 
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\r\n\u092f\u0939 \u092e\u093e\u0928 \u0915\u094d\u092f\u093e \u0939\u0948 ? \u092f\u0939 \u092e\u093e\u0928 \u0928\u093e\u092a\u0928\u0947 \u0935\u093e\u0932\u0940 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092a\u091f\u094d\u091f\u093f\u092f\u094b\u0902 \u0915\u0947 \u0938\u093e\u0925 \u092d\u0940 \u0938\u092e\u093e\u0928 \u0915\u094d\u092f\u094b\u0902 \u0930\u0939\u0924\u093e \u0939\u0948 ? 

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\r\n(\u0932\u093f\u0916\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u092f\u0939\u093e\u0901 \u0915\u094d\u0932\u093f\u0915 \u0915\u0930\u0947\u0902)
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CLIx English\r\n

Activity 4

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Place the strips in line along the sheet's length to verify your prediction.

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Now complete the following table:

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Length of sheet (l)

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Number of strips used (n)

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l x n

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l/n

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If the measuring strip is long, the number of strips used would be ____________ (less/more)

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If the measuring strip is short, the number of strips used would be ____________ (less/more)

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Do you see any pattern/s in the 1st and 2nd columns of the table above?

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Do you see any pattern/s in the 3rd and 4th columns of the table above?

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We see that the ____ column contains all equal values.

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What is this value? Why does the value remains the same, even with different measuring strips?

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