![]() ![]() ![]() Level Three corresponds to the Advanced Additive stage of the number framework. So convert a percentage to a fraction, place the percent in the numerator, and 100 in the denominator. 50% is one half so 50% of 18 is 9 or five is half of ten. Method 1 Converting to a Fraction 1 Understand a percentage as a fraction, as a number out of 100. Students should know the decimals and percentage conversions of simple fractions (halves, quarters, fifths, tenths) and use these to solve simple percentage of amount problems, for example 50% is fifty out of one hundred. For example to work out 20 divide 20 by 100 and multiply by the. This multiplicative understanding allows students at Level Three to find fractions of quantities, for example two-thirds of 24 as 24 ÷ 3 x 2 = 16, find simple equivalent fractions related to doubling and halving, for example 3/4 = 6/8, to add and subtract fractions with the same denominators, for example 3/4 + 3/4 = 6/4 = 1 2/4, and to convert improper fractions to mixed numbers, for example 17/3 = 5 2/3. Calculate the percentage decrease and subtract from original amount. ![]() Students should also connect known multiplication facts to solve multiplication and division problems, for example 13 x 6 = as 10 x 6 + 3 x 6 = (distributive property), 14 x 9 = as 2 x (7 x 9) = (associative property) and 36 ÷ 9 = using 4 x 9 = 36 (inverse). These strategies include standard place value, for example 603 – 384 = as 60 – 38 tens less one (219), rounding and compensating, for example 923 – 587 = as 923 – 600 + 13 =, and reversing (applying inverse), for example 923 – 587 = as 587 + = 923. Adding or subtracting unlike signs: Subtract the two numbers and use the. This means students will use a range of mental strategies based on partitioning and combining to solve addition and subtraction problems with multi-digit whole numbers and simple decimals (tenths). ![]()
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