Fractions Today you will need …… Orange Books Calculator Pen Week 10 Today you will need …… Orange Books Calculator Pen Complete your tracking sheet to evaluate your skills before the lesson
What you need to know E3 –L2 Read and write common fractions, for example halves, quarters, thirds, tenths. Understand what the top and bottom numbers represent. Understand that a unit fraction is one part of a whole divided into equal parts for example 1/3 , 1/10 . Understand that non-unit fractions are several equal parts of a whole, for example 3/4 represents three parts of something that has been divided into four equal parts, (¼ + ¼ + ¼ ). Understand that equivalent fractions look different but have the same value. Recognise and use equivalence, for example 2/4 = 5/10 = ½ , 6/6 = 1. To write one quantity as a fraction of another, put the first quantity on the top of the fraction, and the second quantity on the bottom. Know how to change fractions to equivalent fractions with a common denominator. Find fractions of quantities. Evaluate one number as a fraction of another. Use fractions to solve practical problems. Add and subtract using halves, thirds, quarters, fifths and tenths
Numerator, Denominator, Simplify, Expand, What will you learn today? (something you did not know yesterday) By the end of this session I will be able to… Identify parts of a fraction and explain them Find a fraction of a number Identify equivalent fractions Write one number as a fraction of another Convert between fractions, decimals & percentages Add and subtract fractions Numerator, Denominator, Simplify, Expand, Key Words
2 5 Learn the skill – Parts of a fraction The numerator The proportion of the whole The denominator the whole
Learn the skill – Pictorial representation 2 5 =
Learn the skill – Finding a fraction of a number Find 2 5 of 50 50 ÷ 5 x 2 = 20 “Divide by bottom, times by the top”
Try the skill – Fraction of a number Find 2 9 of 54 ………………… Find 2 5 of 70 ………………… Find 6 7 of 56 …………………… Find 4 9 of 81 ………………. Find 5 8 of 16 ……………………
Learn the skill – equivalent fractions https://www.youtube.com/watch?v=Fkqg6HE888A Why was he laughing?
Learn the skill – equivalent fractions = = 4 16 2 8 1 4 = =
Try the skill – write these fraction in their most simple form 6 12 = ÷ 6 1 2 3 6 = ÷ 3 40 50 = ÷ 10 1 2 4 5 6 18 = ÷ 2 ÷ 3 3 9 = 1 3
Learn the skill – One number as a fraction of another “15 out of 20 people prefer tea to coffee” 15 20 The proportion in question The whole amount ÷ 5 15 20 3 4 = ÷ 5
Learn the skill – Convert a fraction to a decimal 2 5 Means to divide 2 ÷ 5 = 0.4
Try the skill – Convert a fraction to a decimal 4 8 …………………………………………… 7 15 …………………………………………… 7 3 ……………………………………………
Converting between decimals, percentage and fraction ÷ 100 X 100 Top ÷ bottom Percentage Fraction % 100 (then simplify) Top ÷ bottom x 100
Try the skill – Converting the following Convert 15% to a fraction ………………… Convert 2 5 to percentage ………………… Convert 17% a decimal …………………… Convert 0.6 to a fraction ………………. Convert 7 8 to a decimal ……………………
Learn the skill – Adding Fractions 2 6 + 2 6 = 1 6 + 1 3 = 3 4 + 1 3 =
Learn the skill– Subtracting fractions 5 6 - 2 6 = 5 6 - 1 3 = 7 8 - 2 4 =
Please don’t write on sheets Independent practice Choose which areas to develop depending on your own strengths and areas for development. Diagnostic results green? Aim higher and stretch your skills Please don’t write on sheets
Reflection of the lesson Now how do you know feel about todays topic What did you learn new today? What are your next steps? How are you going to remember it?