Dr Fog Presents - FirstMaths.com...Main Learning Task •Who gets the most money with plan A? •...
Transcript of Dr Fog Presents - FirstMaths.com...Main Learning Task •Who gets the most money with plan A? •...
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Dr Fog Presents
Year 7 (National Numeracy Strategy)
(Based on DFEE Sample Lessons)
www.DrFog.co.uk
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Resources
• None!
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Mental Learning Objective
• I can find fractions of amounts of money.
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Mental Learning Task
• Today we are going to start by focusing on finding fractions of different amounts of money.
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Mental Learning Task
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Mental Learning Task
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Mental Learning Task
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Mental Learning Task
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Mental Learning Task
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Mental Learning Task
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Mental Learning Task
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Mental Learning Task
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Mental Learning Task
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Mental Learning Task
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Mental Learning Task
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Mental Learning Objective
• I can find fractions of amounts of money.
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Main Learning Objective
• I can compare fractions with the same denominator.
• I can compare fractions with different denominators by converting them to the same denominator.
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Key idea
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Main Learning Task
• Today we are going to look at how to work with fractions, and decide which is the largest fraction.
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Main Learning Task
• Here is a sharing problem we are going to solve together…
• There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it.
• Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10.
• Plan B:Alice gets ¼ of the money, Bryn 3/10, Chloe 1/3
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Main Learning Task
• Who gets the most money with plan A?
• There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it.
• Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10.
• Plan B:Alice gets ¼ of the money, Bryn 3/10, Chloe 1/3
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Main Learning Task
• Who gets the least money with plan A?
• There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it.
• Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10.
• Plan B:Alice gets ¼ of the money, Bryn 3/10, Chloe 1/3
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Main Learning Task
• How much does each child get with Plan A?
• There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it.
• Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10.
• Plan B:Alice gets ¼ of the money, Bryn 3/10, Chloe 1/3
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Main Learning Task
• As a fraction, how much more does Alice get than Chloe?
• Alice gets 5 Bryn gets 3 Chloe gets 2
10 10 10
5
10
2
10 = 3
10
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Main Learning Task
• As a fraction, how much more does Alice get than Bryn?
• Alice gets 5 Bryn gets 3 Chloe gets 2
10 10 10
5
10
3
10 = 2
10
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Main Learning Task
• How else can we write this fraction?
• Alice gets 5 Bryn gets 3 Chloe gets 2
10 10 10
5
10
3
10 = 2
10
1
5 =
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Main Learning Task
• As a fraction,how much does Chloe and Bryn get together?
• Alice gets 5 Bryn gets 3 Chloe gets 2
10 10 10
5
10
2
10
3
10 =
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Main Learning Task
• How else could we write this fraction?
• Alice gets 5 Bryn gets 3 Chloe gets 2
10 10 10
5
10
2
10
3
10 = = 1
2
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Main Learning Task
• How much does each child get with Plan B?
• There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it.
• Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10.
• Plan B:Alice gets ¼ of the money, Bryn 3/10, Chloe 1/3
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Main Learning Task
• It isn’t so easy to see who gets the most this time is it?
• Why not?
• There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it.
• Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10.
• Plan B:Alice gets ¼ of the money, Bryn 3/10, Chloe 1/3
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Main Learning Task
• There are quarters, twelfths and thirds.
• There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it.
• Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10.
• Plan B:Alice gets ¼ of the money, Bryn 3/10, Chloe 1/3
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Main Learning Task
• What can you tell me about these fractions?
• There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it.
• Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10.
• Plan B:Alice gets ¼ of the money, Bryn 3/10, Chloe 1/3
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Main Learning Task
• Does Alice get more or less than Chloe?
• There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it.
• Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10.
• Plan B:Alice gets ¼ of the money, Bryn 3/10, Chloe 1/3
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Main Learning Task
• How can you work out who gets the most and by how much?
• There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it.
• Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10.
• Plan B:Alice gets ¼ of the money, Bryn 3/10, Chloe 1/3
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Main Learning Task
• We can change them all to the same ‘kind’ that is twelfths.
• There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it.
• Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10.
• Plan B:Alice gets ¼ of the money, Bryn 5/12, Chloe 1/3
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Main Learning Task
• We can change them all to the same ‘kind’ that is twelfths.
Alice = 1
4
Bryn = 5
12 Chloe = 1
3
= ____
12 = ____
12
= ____
12
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Main Learning Task
• To find differences between amounts, just take away the fractions now they are of the same kind.
Alice = 1
4
Bryn = 5
12 Chloe = 1
3
= ____
12 = ____
12
= ____
12
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Main Learning Task • To find out how much money each gets,
divide £240 by 12.
• Then multiply by the top number of the fraction.
Alice = 1
4
Bryn = 5
12 Chloe = 1
3
= ____
12 = ____
12
= ____
12
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Main Learning Task • Solve these questions. • There are three children in a family. Alice, Bryn
and Chloe. There grandmother gives them £240 to share between them.
• Simplest:- Alice gets1/8, Bryn 2/8 and Chloe 5/8 • Middle:- Alice gets ½, Bryn 3/8, Chloe 3/8 • Hard:-Alice gets ¼, Bryn 10/24, Chloe 1/3 • Who gets the most? • Who gets the least? • What is the difference between these amounts? • What fraction of the whole amount is that? • Write this as a difference between two fractions.
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Main Learning Objective
• I can compare fractions with the same denominator.
• I can compare fractions with different denominators by converting them to the same denominator.
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Plenary
• Share your findings with the rest of the class.
• Write your workings and answer on the board.
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Plenary
• We are now going to finish with some mental work based on the fractions of an hour.
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Plenary
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Plenary
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Plenary
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Plenary
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Review of Key Idea
• I can find fractions of time and money by making sure the fractions have the same denominator.
• Did you learn this today?
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Where Can I Find More Resources Like This?
• You can now visit my teaching resource website at http://www.DrFog.co.uk
• You can click here to search for more of my teaching resources.
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