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Curated Video
Express a quantity as a mixed number and an improper fraction
Pupil outcome: I can express a quantity as a mixed number and an improper fraction. Key learning points: - A mixed number can be written as an improper fraction of equal value. - The generalisation, ‘First we multiply the whole number by...
Curated Video
Compare mixed numbers when the denominators of fractional parts are different
Pupil outcome: I can compare and order mixed numbers when the whole and the numerator of the fractional part is the same. Key learning points: - If mixed numbers have the same whole number parts, then the size of the fractional parts...
Curated Video
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. -...
Curated Video
Solve problems involving addition and subtraction of mixed numbers
Pupil outcome: I can solve problems involving the addition and subtraction of mixed numbers. Key learning points: - Improper fractions can be added and subtracted in the same way as proper fractions. - When interpreting data or solving...
Curated Video
Solve problems involving mixed numbers
Pupil outcome: I can solve problems involving mixed numbers. Key learning points: - Word problems can involve mixed numbers. Mixed numbers may be used as part of the question or may form the answer. - Mixed numbers can be used to...
Curated Video
Multiply a mixed number by a whole number bridging a whole
Pupil outcome: I can multiply a mixed number by a whole number where the fractions bridge a whole. Key learning points: - Partition the mixed number into a whole number and a fraction. - Multiply the whole number part by the whole number...
Curated Video
Checking and securing converting mixed numbers to improper fractions
Pupil outcome: I can use awareness that fractions of the form a/b, where a>b, are greater than one and so convert from mixed numbers to improper fractions. Key learning points: - Fractions where the numerator is greater than the...
Curated Video
Dividing a fraction by a fraction
Pupil outcome: I can use the mathematical structures that underpin the division of fractions to divide a fraction by a fraction. Key learning points: - A diagram can help to show the underlying structure. - Another method is the use the...
Curated Video
Explain when a calculation represents scaling down and when it represents repeated addition
Pupil outcome: I can explain when a calculation represents scaling down and when it represents repeated addition Key learning points: - A calculation can represent scaling down or finding a fraction of the whole number. - A calculation...
Curated Video
Solve problems involving fractions and mixed numbers
Pupil outcome: I can solve problems involving fractions and mixed numbers. Key learning points: - Use the language of unitising '__ groups of __ is equal to __' - Partition the mixed number into a whole number and a fraction. - Explain...
Curated Video
Explain with and without an image how to add and subtract related non-unit fractions
Pupil outcome: I can explain with and without an image how to add and subtract related non-unit fractions Key learning points: - You can use knowledge of common multiples to convert fractions to an equivalent with a common denominator. -...
Curated Video
Compose and decompose mixed numbers
Pupil outcome: I can compose and decompose mixed numbers to solve addition and subtraction calculations. Key learning points: - Mixed numbers are quantities that are made up of a whole number part and a fractional part. - Addition and...
Curated Video
Explain how to subtract related unit fractions
Pupil outcome: I can explain how to subtract related unit fractions Key learning points: - Fractions need to have the same denominator if you are to subtract them. - Common multiples help you to convert a fraction to a common...
Curated Video
Checking and securing converting improper fractions to mixed numbers
Pupil outcome: I can use awareness that fractions of the form a/b, where a>b, are greater than one and so convert from improper fractions to mixed numbers. Key learning points: - Fractions where the denominator and numerator are the same...
Curated Video
Converting fractions with technology
Pupil outcome: I can convert from fractions to decimals and back again using the converter key on a calculator. Key learning points: - A calculator can be used to simplify fractions. - A calculator can be used to convert fractions to...
Curated Video
Multiply a proper fraction by a whole number where the product is greater than a whole
Pupil outcome: I can multiply a proper fraction by a whole number where the product is greater than a whole. Key learning points: - If 3 groups of 4 are equal to 12 then 3 groups of 4 fifths are equal to 12 fifths. - If the product is an...
Curated Video
Checking and securing understanding of enlargement with positive fractional scale factors
Pupil outcome: I can describe an enlargement and perform a given enlargement on an object. Key learning points: - Each length in the shape is multiplied by the scale factor. - Each vertex in the object is a given distance from the centre...
Curated Video
Using the fx-991CW for number and algebra
Pupil outcome: I can use the fx-991CW to perform calculations with numbers and solve equations numerically. Key learning points: - Some calculators can perform more than just basic calculations. - The fx-991CW can convert between...
Curated Video
Converting terminating decimals to fractions
Pupil outcome: I can appreciate that any terminating decimal can be written as a fraction with a denominator of the form 10^n Key learning points: - Place value of decimals can be represented with exponentials in the column headings. -...
Curated Video
Deepening understanding of multiplication with fractions
Pupil outcome: I can generalise and fluently use strategies to multiply with mixed numbers. Key learning points: - Mixed numbers can be converted into improper fractions. - It is not necessary to convert both fractions. - Each fraction...
Curated Video
Securing understanding of addition and subtraction with fractions
Pupil outcome: I can generalise and fluently use addition and subtraction strategies to calculate with fractions and mixed numbers. Key learning points: - To make the denominators the same, you may need to scale up or down. - It can be...
Curated Video
Problem solving with arithmetic procedures involving fractions
Pupil outcome: I can use my knowledge of arithmetic procedures involving fractions to solve problems. Key learning points: - When calculating with fractions and decimals, a common form can be easier. - A calculator removes the need for a...
Curated Video
Solve problems using fraction-decimal equivalents
Pupil outcome: I can solve problems using 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 - 0.5 is equal to 1/2
Curated Video
Rationalising a single 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...