Week 3 19.01.15 Lesson 1 Mental and Oral Starter Fluency in number and arithmetic Missing number: teacher counts on or back in a sequence (e.g. 50s; 8s; 4s) but misses a number – TTYP – which number was missing? How do they know? Objectives L.I: To recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators . Main Teaching Key questions What do we know about fractions? Thinkpair-share. In back of maths books ask children to represent ¼ in any way they like. Share different representations, then reveal a few more on the board. Show some correct and incorrect representations of ¼ Agree that when something is divided into four equal parts, one of these parts is a quarter. Explain that ½ or ¼ or 1/8 are known as unit fractions because the top number – the numerator – is 1. The bottom number is known as the denominator. Notes about activities and resources to use Support Core Extension LSA with Hana CT with Shaydon, Sadhana, Rika, Rukhsar All abilities – mixed pairs Children make fractions walls in their books of 1, halves, quarters and eights, by folding and sticking in strips on paper. Children to label each fraction. Show interactive fraction wall beforehand: http://www.visnos.com/solo/fraction-wall You just have to remember those names! (If you forget just think "Down"-ominator) numerator denominator Display this new vocabulary on working wall, and ask children to explain the meaning to their partner. Reveal correct and incorrect representations of 1/8, and discuss which have been divided into equal parts. Give children strips of paper and practice folding it into eights by folding strip in half, half again and half again. Encourage them to describe the fractions that are represented after each fold. Count in eights along the strip. Introduce the term ‘non-unit fraction.’ This is when the numerator is greater than 1 e.g 2/8 is a non-unit fraction. Display this on working wall. Children make fractions walls in their books of 1, halves, quarters and eights. Children to write the definitions of unit and non-unit fractions, numerator and denominator. KEY QUESTIONS: How many eights are there altogether in a whole? I’m thinking of a fraction that can be shown using our strip. I counted an odd number of eights. What could my fraction be? What couldn’t it be? How many eights are there altogether in two wholes? In three wholes? How do you know? Plenary Lesson 2 Reasoning Always, Sometimes, Never. “Is it always true, sometimes or never true that when you add a multiple of 100 (e.g. 300) to a 3-digit number, only the value of the hundreds column changes?” Q’s to consider: Why does the tens and units column not change? In a 3-digit number, what value is the thousands column? Can the value of the thousands column ever change? L.I: To recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators . Recap yesterday’s lesson on fractions. Refer to new vocab. Display 4/8 on the board. Who can read this fraction? Which is the numerator? Which the denominator? What else can you tell me about this fraction? Unit 1: Fractions as Numbers in Rising Stars Fluency with Fractions LSA Partner work CT LA – Task A Children roll dice and use counters to cover parts of their strips then write down the fraction created. MA – Task B Children describe fractions and write their descriptions in speech bubbles. HA – Task C Guided learning looking at statements about fractions. Encourage correct use of new vocabulary to embed this. Children to swap books and have a go at peer assessing each other’s work. Has their partner got the numerator and denominator the correct way round? Lesson 3 Problem Solving and Reasoning Odd one Out Look at this set of numbers. Which is the odd one out? 15,16,9,3. L.I: To count up and down in tenths and recognise how tenths arise. Problem Solving and Reasoning What is the Question? E.g. The answer is 52, what is the question? Children to Teach that tenths arise from dividing a number or a quantity by ten. Display SMARTboard with shape divided into ten. Click to show 1/10 shaded. Ask – what fraction is shaded? Is this a unit or nonunit fraction? Possible answers: 16 is the only even number. 16 is not a multiple of 3. Lesson 4 Remind children about paper chain activity from Autumn 2. What were we trying to represent on our paper chain? TTYP – choose two. CT with LA. LSA with MA. HA independent. Count up and back in tenths. Use counting stick to support children. LA - find the fraction shaded. MA – Name and shade the fractions listed. HA – identify fractions shaded, then add to fractions to find the total shaded amount. Click to reveal one more tenth shaded each time. Count on in tenths as a class. L.I: To recognise tenths in other contexts Practical Activity Give children multilink cubes. Model the activity by showing them a stick of 10 multilink where 2 are yellow. Ask children to build a stick of cubes where 3/10 are red, 2/10 are blue, 5/10 are green. What do they notice about the fraction 5 tenths? Are there are other ways of expressing this fraction? Repeat the activity with different fractions. Give children number line rulers (the red and yellow strips). Guide children using the counting stick to count up and down in tenths. After repeating twice, point to any section on the counting stick and ask children to tell you the fraction. Remind children that fractions are part of a whole. We can apply this to real life contexts. Problem Solving – dividing by 10 to find tenths of an object or quantity. Rising Stars – Fluency with fractions – p13. Show me – 3/10 of your fingers CT to model task, then independent What is 4/10 of £1? Using numicon children find one tenth of each quantity CT with MA (after modelling for LA) LSA to support HA. Guided session. Task B. Use clues to find out who won a tenth of each amount of the prize money. What is 1/10 of a metre? come up with as many different questions as possible. E.g. The question contains a multiple of 10… (50+2) Lesson 5 Rising Stars: Mental Maths Spring 1 Test 2 Distribute plastic money between pairs. Investigation Ask children if the whole of their counting strip is 10p, what does each section represent? What operation will they need to work this out? Children can place plastic coins over their counting strip to show their working. LSA to support LA group during this activity, Children to feedback their findings. Once established that 1p = 1/10 of 10p, can they work out 1/10 of £1? HA – what is 2/10 of £10? L.I: To address gaps in basic maths skills given on the cards. Record as number sentence. What patterns do they notice? Does the pattern work for other multiples of 10. How can we organise our findings? Guide children in working through clues methodicall.y Children to their respective Maths groups – address gaps in learning as identified through Assertive Mentoring