Scheme of work Elementary 1, the maths pathway

Transcription

1 Objective Code Objective Exemplification Links to prior objectives Resources, enrichment, notes E1.1 Multiply and divide numbers by 10, 100 and 1000 including decimals. 6 x 10, 6.5 x 10, x 100, 3.4 x 100, x 1000, 7.5 x 1000, B8.10 Multiplying and dividing by - 0.1, 0.01 etc - Any power of 10-20, 30, 500 etc this can be linked with the short division relatively easily. (link with E1.4 and E1.5) E1.2 Recognise and use square and cube notation. Calculate 52, 63 Recall of their square numbers up to 15 2 Recall of the cubes of 2, 3, 4, 5, 6, 8 Given a list select the square and cube numbers. Solve problems involve square numbers e.g B8.13, B Find the square and cube of any number. This links with long multiplication below - Which square numbers are also cube numbers? - Higher powers - Links with E E1.3 Long multiplication of up to 4 digit numbers by 1 or 2 digit numbers. Use formal columns methods for long multiplication 2699 x 28 Use other methods B9.10, B Multiplying decimals - Link with powers - Multiplying the numbers together, to stress laws of multiplication. 1

2 E1.4 Short division, up to 4 digits by 1 digit (including remainders). Use formal methods for dividing , B8.12, B Dividing by 11 and 12 - Use fraction to mean divide as well as divide symbol - Mixed problems involving multiplying and dividing. - Different ways of representing remainders (E1.6) - Use division to convert to a decimal (E1.8) E1.5 Short division, up to 4 digit by 2 digit where appropriate. Dividing by 11 and Diving by multiplies of 10, 100 and 1000 B8.12, B Division that involves remainders - Numbers other than the ones listed here Dividing by multiples of 25 E1.6 Understand different ways to represent remainders. Calculate , writing the remainder as a fraction/decimal. B8.12, B8.16, B8.27, B8.30 E1.7 Recognise mixed numbers and improper fractions. Circle the mixed numbers?,,, Represent the following number using diagrams B8.17, B Convert a mixed number to a improper fraction and then convert to a decimal. (E1.4) /fractions_booklet.pdf 2

3 E1.8 Convert between mixed numbers and improper fractions. Write the mixed number as an improper fraction. Write the improper fraction number. as a mixed B9.16, B Represent a mixed number on a number line. /fractions_booklet.pdf E1.9 Read, write, order and compare numbers up to three decimal places. E1.10 Read and write decimal numbers as fractions. Order the decimals in ascending order. 0.34, 0.3, 0.43, 0.384, 3.4 Write the following decimals as fractions (in their simplest form). 0.4, 0.26, 0.458, 2.45 B8.3, B7.4 B9.17, B8.16 and links - Order a set of fractions by converting to decimals using division (E1.4) - Decide which fraction is closer to another fraction using division. (E1.4) - and links - Order a set of calculations that they have to out first - Represent numbers on a number line. - Show the link between this and E1.1. E1.11 Use common factors to simplify fractions; use common multiples to express fractions in the same denomination. Simplify the following fraction Which fraction is bigger? or B9.5, B8.26 B8.5, - Convert fractions (including mixed numbers) into percentages (via decimals). 3

4 E1.12 Multiply proper and improper fractions by an integer. Simplify x 5 Find A piece of ribbon is 2/3 of a metre long. Jenny needs 7 pieces of Ribbon 1 metre of ribbon costs 1.23 Can she buy what she needs with 10? B8.24, B Mixed number x integer - Integer x any fraction (important to present other way around) - Using diagrams to explain division by a fraction. E1.13 Round a number with two decimal places to a whole number and 1 decimal place. Round the following to the nearest (i) whole number, and (ii) One decimal place 5.48, 15.29, 20.91, 0.087, 1.99 A bike costs 185. Mike pays for this is 12 instalments. To the nearest pound how much does he pay per instalment. B9.6, B8.6, B8.7 - Include calculations where students have to use a calculator first. - Multiplying decimals together using long division and then rounding. E1.14 Work with co-ordinates in all 4 quadrants. Plot the following coordinates (5, 4), (3, -2), (-5, 6) and (-7, -1) Write down the co-ordinates of A A straight line can be made plotting the following points (2, 5), (3, 7), (4, 9). Write down two other points on this line. B5.18, B Complete simple shapes using geometric properties of shapes. - 3D co-ordinates - Find the mid point of a line - Find the length of horizontal and vertical lines. A straight horizontal line is drawn through the (4, -1). Write down 5 other points on this line? 4

5 E1.15 Express one quantity as a fraction of another, where the fraction is less than one or greater than one. James scored 23 out of 46 on his maths test; write this as a fraction in its simplest form. B7.26, B7.29 B7.28, 5