simple equivalent ratios − simple everyday ratios such as 1 part juice concentrate to 4 parts water − rates • a rate is a comparison of two measurable quantities of different kinds − simple everyday rates such as kilometres per hour, $ per kg − direct and inverse proportion • with a calculator: • simplify ratios − determine equivalent ratios − divide a quantity into a particular − form a ratio from given information • Applying simple ratio problems • simple rates problems such as: • calculate everyday rates, for example, for a mobile phone − compare rates to determine the best buy − solve simple (direct) proportion problems such as calculating the cost of 5 items given the • cost of 2 identify situations where direct and inverse proportion do not work, such as discount for • quantity of purchases (students do not need to know the terms and ‘direct’ ‘inverse’) • … Explaining present solutions to problems using common words, phrases and symbols (orally or in • writing) to teacher or peers comment on reasonableness of solutions in relation to rates and/or proportion • • … Some examples of learning experiences linked to assessment Learning experience Assessment Generate a collection of everyday No assessment. expressions in which fractions occur and discuss their meanings, e.g: ‘possession is nine-tenths of the law’, split second’, ‘a have half a mind to do that’, a mo’. ‘I ‘half Discuss ways of altering a simple recipe Students decide on quantities needed; make decisions to suit different group sizes. about minimum package sizes to be purchased. Class party with each student supplying a plate of prepared food; altered and original recipes to be supplied.
− simple equivalent ratios − simple everyday ratios such as 1 part juice concentrate to 4 parts water • rates − a rate is a comparison of two measurable quantities of different kinds − simple everyday rates such as kilometres per hour, $ per kg • direct and inverse proportion • with a calculator: − simplify ratios − determine equivalent ratios − divide a quantity into a particular • form a ratio from given information Applying • simple ratio problems • simple rates problems such as: − calculate everyday rates, for example, for a mobile phone − compare rates to determine the best buy • solve simple (direct) proportion problems such as calculating the cost of 5 items given the cost of 2 • identify situations where direct and inverse proportion do not work, such as discount for quantity of purchases (students do not need to know the terms ‘direct’ and ‘inverse’) • … Explaining • present solutions to problems using common words, phrases and symbols (orally or in writing) to teacher or peers • comment on reasonableness of solutions in relation to rates and/or proportion • … Some examples of learning experiences linked to assessment Learning experience Assessment Generate a collection of everyday expressions in which fractions occur and discuss their meanings, e.g: ‘possession is nine-tenths of the law’, ‘a split second’, ‘I have half a mind to do that’, ‘half a mo’. No assessment. Discuss ways of altering a simple recipe to suit different group sizes. Students decide on quantities needed; make decisions about minimum package sizes to be purchased. Class party with each student supplying a plate of prepared food; altered and original recipes to be supplied.
snr_prevoc_maths_04_sas.docx