Yr 9 Unit 1 –Number–Support and Core



Yr 8 Unit 2 – Number – Fractions, decimals, percentages

5 lessons

| |Support Objectives |Level |NNS Ref |

|1 |Use fraction notation to express a smaller whole number as a fraction of a larger one |3 |60 |

| |NT pg 96,97 | | |

| |NNS Fraction Wall | | |

| |Fraction monkeys (sums.co.uk) | | |

| |Fractions – booster level 3() | | |

| |ET Fractions Poster | | |

|2 |simplify fractions by cancelling all common factors and identify equivalent fractions |4 |62 |

| |NT pg 98-103 | | |

| |Fractions – booster level 4 () | | |

| |Fractions – booster level 5 () | | |

| |FVT Fractions | | |

| |Face up pelmanism – equivalent fractions – boardworks | | |

| |Fraction wall - boardworks | | |

| |SMS Equivalent Fractions | | |

| |NNS Fraction Wall | | |

|3 |convert terminating decimals to fractions |4/5 |62 |

| |FVT Fractions Decimals Percentages | | |

| |ET Convert Fractions to decimals | | |

| |Boardworks face up pelmanism – fracs-decs-% | | |

|4 |Add and subtract fractions with common denominators |3/4 |66 |

| |Nt pg 105 | | |

| |FVT Fractions – the four rules | | |

| |ET Adding Fractions | | |

| |Adding Fractions (nlvm.usu.edu) | | |

|5 |calculate fractions of quantities (whole-number answers) |4 |66 |

| |Nt pg 107 | | |

| |FVT Fractions | | |

|6 |multiply a fraction by an integer |4 |68 |

| |Nt pg 109 | | |

|7 |Understand percentage as the ‘number of parts per 100’; |3 |70,71 |

| |Nt pg 115 | | |

|8 |calculate simple percentages. |4 |72,73 |

| |Percentage of – mentally Nt pg 118 | | |

| |Percentage of – using a calculator pg 120 | | |

| |FVT Percentage of an amount | | |

| |Core Objectives |Level |NNS Ref |

|1 |Know that a recurring decimal is a fraction; |5 | |

| |NT pg 104 | | |

| |NT pg 105 | | |

|2 |use division to convert a fraction to a decimal |5 | |

| |NT pg 102 | | |

|3 |order fractions by writing them with a common denominator or by converting them to decimals. |5 | |

| |NT pg 106 | | |

| |FVT Fractions | | |

| |ET Ordering Fractions on a numberline | | |

| |Comparing Fractions (5 mins) | | |

| |Ordering fractions (BBC) | | |

|4 |Add and subtract fractions by writing them with a common denominator; |6 |82-85 |

| |NT pg 108 | | |

| |Adding Fractions (nlvm.usu.edu) | | |

| |Adding and Subtracting Fractions (Excel) (emaths.co.uk) | | |

| |FVT Fractions the four rules | | |

|5 |calculate fractions of quantities (fraction answers) |5 | |

| |NT pg 107 | | |

| |FVT Fractions | | |

|6 |multiply and divide an integer by a fraction. |6 | |

| |NT pg 111 and 113 | | |

|7 |Interpret percentage as the operator ‘so many hundredths of’ and express one given number as a percentage of another;|5 | |

| | | | |

| |NT pg 120 | | |

| |Percentages as so many 'hundreths' (nlvm.usu.edu) | | |

| |FVT A as a percentage of B | | |

|8 |use the equivalence of fractions, decimals and percentages to compare proportions; |5 | |

| |NT pg 119 | | |

| |NT pg 123-131 | | |

|9 |calculate percentages and find the outcome of a given percentage increase or decrease. |6 | |

| |NT pg 123-131 | | |

| |FVT Percentage of an amount | | |

| |FVT Percentage increase and decrease | | |

|10 |Recall known facts, including fraction to decimal conversions; use known facts to derive unknown facts, including |6 |88-91 |

| |products such as 0.7 x 6, and 0.03 x 8 | | |

| |NT pg 102,66 | | |

| |FVT Multiplying decimals | | |

|11 |Consolidate and extend mental methods of calculation, working with decimals, fractions and percentages; solve word |5/6 |92-101 |

| |problems mentally | | |

| |NT CH3 Mental calculations | | |

| |NT CH5 Fractions | | |

| |NT CH6 Frac, dec, percentage | | |

| |Extension Objectives |Level |Ref |

|1 |Use efficient methods to add, subtract, multiply and divide fractions, interpreting division as a multiplicative inverse |6/7 |67,69 |

| |cancel common factors before multiplying or dividing | | |

| |Adding and subtracting fractions nt pg 99-107 | | |

| | | | |

| |FVT Fractions – the four rules | | |

|2 |Solve problems involving percentage changes |6 |77 |

| |Percentages of .. nt pg 113-123 | | |

| |FVT Percentage increase and decrease | | |

|3 |Use known facts to derive unknown facts |5/6 |89 |

| |FVT Multiplying decimals | | |

| |NT Whole of chapter 3 Mental Calculation | | |

|4 |Extend mental methods of calculation, working with factors, powers and roots. |5/6 |91 |

| |Powers – nt pg 43, 47, 60, 63 | | |

| |FVT Powers | | |

| |FVT Power problems | | |

Vocabulary

Numerator, denominator, improper, equivalent, fraction

Ideas for starters

Use stick for adding and subtracting fractions with common denominator

Recognising % as out of 100, out of 50 and out of 25

10 % of an amount and multiples of 10

Whiteboards – write down the simplest fraction equivalent to ….

Spider diagrams with a fraction in the middle

Spider diagrams with a percentage in the middle

Recall equivalent fractions, decimals and percentages

Fraction/percentage bingo

HOLS/maths investigations

Students build a fraction wall to find equivalent fractions- poster

Students bring newspapers/articles showing where percentages are used in the real world – class discussion

Domino games-fractions/decimals/percentages – match up

Design a flag with ¼ green, 1/3 yellow, and the rest red.

E.g. find different ways of dividing a 4 by 4 grid of squares into quarters using combinations of Straight lines

Illustrate equivalent fractions by shading grids etc

Compare interest rates & savings rates in different countries

Investigate cost of a product before VAT is added

Domino games-fractions/decimals/percentages – match up

Investigate fractions that give recurring decimals

Investigate Egyptian fractions – page 110

Investigate the effect of increasing the size of a square by 10% and then by 10% again?

Matching activity fractions ( decimals ( %

Grid of %, roll dice to generate fractions, match up to try and give smallest total difference between the fractions and decimals.

ICT links / citizenship

Group discussions on where percentages are used

Set up invoices including % VAT etc.

Ideas for plenaries

% increase and decrease, profit /loss % and VAT.

Which is the bigger 0.3, 33% or 1/3 ?

What fraction of 1 metre is 35 cm?

What fraction of a turn does the minute hand turn through between 7.15 p.m. and 7.35 p.m.?

“Which option is better 20% or 2/5 of a given price?” type questions

Percentage bingo

Compare interest rates for different accounts

Convert finite decimals into fractions and (using long division) visa-versa. E.g. since 1/5 = 0.2, 3/5 = 3 x 0.2 etc

Ideas for homework

Research into rates of tax

Bring in examples of interest rates from banks or credit cards

Make up an advert for a shop having a sale

Webmaths Fractions and equivalent fractions

Webmaths Fractions of an amount spider

Webmaths Fraction of an amount

Webmaths Adding fractions 1

Webmaths Adding fractions different denominators

Webmaths Add and subtract mixed numbers

Webmaths Y7N4 Percentages

Webmaths Y8 Percentage of an amount non calculator

Webmaths Y8 Percentage of an amount calculator

Webmaths Fractions to decimals

Webmaths Y9 Fractions mixed

Y10I Non calculator percentages

Y10I Calculator percentages

Webmaths Y10H Percentage increase and decrease

Ideas for Formative Comments – ALL LINKS ARE ON WEBMATHS

1) I need to learn how to simplify a fraction

Unit 2 Simplifying fractions

2) I need to know how to convert between fractions, decimals and percentages

Unit 2 Fractions to decimals

3) I need to know how to calculate a fraction of a given quantity

Unit 2 Fraction of an amount

Unit 2 Fractions of an amount spider

4) I need to know how to add and subtract fractions

Unit 2 Adding fractions - different denominators

5) I need to know how to find a percentage of a quantity with a calculator

Unit 2 Percentage of an amount - calculator

6) I need to know how to find a percentage of a quantity without a calculator

Unit 2 Percentage of an amount - non calculator

7) I need to know how to calculate a percentage increase or decrease

Unit 2 Percentage increase and decrease

8) I need to know how to write one number as a percentage of another

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