1.1 Diagrammatic representations of equivalence
The first video shows a mathematical cake which is shaped like a rectangle and has been cut into ten slices. Learners can draw their own mathematical cake on paper. It can have a varied length but it is useful to ensure that the width is 10 cm, which means each slice is 1 cm wide. Diagrams can be very useful aids to teaching concepts in mathematics.
Activity 1 Finding equivalences to one-quarter and three-quarters
Look at the mathematical cake diagram which was shown in the video. Use it to find equivalences to and .
The mathematical cake diagram can be used to demonstrate the equivalences of percentages, decimals and fractions in tenths.
One-quarter can be found by finding the mid-way point between 0 and one-half. Three quarters would be found mid-way between one-half and one-whole of the cake.
One-quarter is 25% and 0.25.
Three-quarters is 75% and 0.75.
Mfano wa kwanza wa video ni mfano wa keki ya hisabati ambayo ni umbo kama mstatili na imekatwa katika vipande kumi. Wanafunzi wanaweza kuchora keki yao wenyewe ya hisabati kwenye karatasi. Urefu wa kipande hiki ni sawa na urefu wa kipande cha pili, lakini kwa kawaida ni sawa na urefu wa kipande cha pili, ambayo ni sawa na urefu wa kipande cha pili. Michoro yaweza kuwa msaada wenye manufaa sana katika kufundisha dhana za hisabati. "Kufanya kazi kwa njia ya ""kuchora"" na ""kuchora"" kwa kutumia mchoro wa keki ya hisabati iliyoonyeshwa kwenye video." Kutumia kupata usawa wa na. Mchoro wa keki ya hisabati unaweza kutumika kuonyesha usawa wa asilimia, decimals na sehemu katika kumi. Kwa mfano, unaweza kupata nusu ya kipimo kwa kutafuta katikati ya 0 na nusu. Sehemu tatu za nne zingeweza kupatikana katikati ya nusu na sehemu moja nzima ya keki. Kwa upande mwingine, robo ya asilimia ya asilimia 25 ni 0.25%. Kwa mfano, asilimia 75 ya asilimia 3 ya asilimia 4 ya asilimia 3 ya asilimia 5 ya asilimia 5 ya asilimia 5 ya asilimia 7.