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Curated Video
Estimate the position of a number on a number line using fraction sense
Pupil outcome: I can estimate the position of a number on a number line using fraction sense. Key learning points: - To estimate the position of mixed numbers on a number line, first identify which integers it sits between. - Then use...
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Recall common fraction-decimal equivalents
Pupil outcome: I can recall common fraction - decimal equivalents. Key learning points: - 0.1 is equal to 1/10 - 0.2 is equal to 1/5 - 0.25 is equal to 1/4 - 0.5 is equal to 1/2 - 0.75 is equal to 3/4
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Efficiently solve subtraction problems (within a whole)
Pupil outcome: I can make efficient choices about the order when solving subtraction problems (within a whole). Key learning points: - Mixed numbers can be partitioned in the same way as whole numbers. - If fractions have the same...
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Explain how an improper fraction is converted into a mixed number
Pupil outcome: I can explain how an improper fraction is converted into a mixed number. Key learning points: - Times table knowledge can help to convert an improper fraction to a mixed number. - Work out how many wholes can be made from...
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Convert a number of fifths from an improper fraction to mixed number
Pupil outcome: I can convert a quantity from an improper fraction to a mixed number using fifths. Key learning points: - An improper fraction is a fraction where the value of the numerator is greater than the value of the denominator. -...
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Solve problems involving comparing and ordering unit fractions in a range of contexts
Pupil outcome: I can solve problems involving comparing and ordering unit fractions in a range of contexts. Key learning points: - When comparing unit fractions, the greater the denominator, the smaller the fraction. - When comparing...
Curated Video
Expressing multiplicative relationships as ratios and fractions
Pupil outcome: I can express a multiplicative relationship as a ratio or as a fraction. Key learning points: - By expressing the multiplicative relationship as a ratio, it can be easier to scale further. - The relationship can be...
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Find a unit fraction of a quantity using representations
Pupil outcome: I can use representations to find a unit fraction of a quantity. Key learning points: - The whole has been divided into __ equal parts and there are __ in each part. - Use representations of sets of objects to divide them...
Curated Video
Use repeated addition of a unit fraction to form 1
Pupil outcome: I can use repeated addition of a unit fraction to form 1 Key learning points: - When the numerator and denominator are the same, the fraction is equal to 1 - Repeated addition of unit fractions forms a fraction equal to 1...
Curated Video
Find a unit fraction when the size of a non-unit fraction is known
Pupil outcome: I can find a unit fraction when the size of a non-unit fraction is known Key learning points: - This is __ of the whole so one part of the whole is __ - There will be __ of these parts in the whole
Curated Video
The surface area of a sphere
Pupil outcome: I can calculate the surface area of a sphere. Key learning points: - There is a formula for the surface area of a sphere. - Demonstration allows you to see that this formula works. - The formula can be used to calculate a...
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Rationalising a two term denominator
Pupil outcome: I can use the technique of rationalising the denominator to transform a fraction to an equivalent fraction. Key learning points: - Fractions should be given in their simplest term. - The denominator should be written as...
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Dividing a whole number by a fraction
Pupil outcome: I can use the mathematical structures that underpin the division of fractions to divide a whole number by a fraction. Key learning points: - A diagram can help to show the underlying structure. - The whole number can be...
Curated Video
The identity property of multiplication and division
Pupil outcome: I can use the fact that 1 can be written in the form n/n and vice versa. Key learning points: - Anything multiplied by one is itself. - Anything divided by one is itself. - One can be written in infinitely many ways using...
Curated Video
Compare unit fractions by looking at the denominator
Pupil outcome: I can compare unit fractions by looking at the denominator. Key learning points: - When the whole is the same, the greater the number of equal parts, the smaller each equal part is. - When the whole is the same, the...
Curated Video
Compare and order unit fractions by looking at the denominator
Pupil outcome: I can compare and order unit fractions by looking at the denominator. Key learning points: - When the whole is the same, the greater the number of equal parts, the smaller each equal part is. - When the whole is the same,...
Curated Video
Describe and write decimal numbers with tenths in different ways
Pupil outcome: I can describe and write decimal numbers with tenths in different ways. Key learning points: - Tenths can label parts of a whole divided into ten equal parts. - Tenths can be positions on a numberline between whole...
Curated Video
Changing the subject with multiple algebraic fractions
Pupil outcome: I can change the subject of a formula involving multiple algebraic fractions. Key learning points: - It is important to identify which variable is to become the subject. - Like terms containing the new subject should be...
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Describe and write decimal numbers with hundredths in different ways
Pupil outcome: I can describe and write decimal numbers with hundredths in different ways. Key learning points: - Hundredths can be counted and represented with place value resources. - Hundredths can be counted and represented as...
Curated Video
Sector Area (proportion AND equation)
You can use a formula (equation) or a proportion to find sector area. This video shows to to do both strategies. The final example has you "work backwards" where you are given the sector area and you have to solve for the radius.
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Complex Fractions
In this video, we see how to simplify "complex fractions," which means a fraction within a fraction.
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Work Rates Word Problem (2 examples)
In this video, we work out work rates word problems. In the first problem, we see how long it takes to build furniture while working together. In the second problem, we see how long it takes to paint a room when working together.
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Trig Identities Practice Problems (Reciprocal, Quotient, and Pythagorean Identities)
In this video, we will practice simplifying expressions using the basic trig identities. We will work three practice problems using Reciprocal, Quotient, and Pythagorean Identities.
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Basic Transformations (horizontal stretch and compression)
The "b" value controls horizontal stretch and compression. In this video, we examine how changing "b" affects the graph of a function. What does b do to a function? Why is it "backwards?" We explore all of these questions in this video.