Instructional Video21:42
Curated Video

Express a quantity as a mixed number and an improper fraction

Pre-K - Higher Ed
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...
Instructional Video21:35
Curated Video

Compare mixed numbers when the denominators of fractional parts are different

Pre-K - Higher Ed
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...
Instructional Video23:17
Curated Video

Convert a number of fifths from an improper fraction to mixed number

Pre-K - Higher Ed
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. -...
Instructional Video23:16
Curated Video

Solve problems involving addition and subtraction of mixed numbers

Pre-K - Higher Ed
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...
Instructional Video22:23
Curated Video

Solve problems involving mixed numbers

Pre-K - Higher Ed
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...
Instructional Video23:37
Curated Video

Multiply a mixed number by a whole number bridging a whole

Pre-K - Higher Ed
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...
Instructional Video25:08
Curated Video

Checking and securing converting mixed numbers to improper fractions

Pre-K - Higher Ed
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...
Instructional Video23:38
Curated Video

Dividing a fraction by a fraction

Pre-K - Higher Ed
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...
Instructional Video22:08
Curated Video

Explain when a calculation represents scaling down and when it represents repeated addition

Pre-K - Higher Ed
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...
Instructional Video22:50
Curated Video

Solve problems involving fractions and mixed numbers

Pre-K - Higher Ed
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...
Instructional Video25:24
Curated Video

Explain with and without an image how to add and subtract related non-unit fractions

Pre-K - Higher Ed
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. -...
Instructional Video22:11
Curated Video

Compose and decompose mixed numbers

Pre-K - Higher Ed
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...
Instructional Video22:12
Curated Video

Explain how to subtract related unit fractions

Pre-K - Higher Ed
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...
Instructional Video21:01
Curated Video

Checking and securing converting improper fractions to mixed numbers

Pre-K - Higher Ed
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...
Instructional Video22:40
Curated Video

Converting fractions with technology

Pre-K - Higher Ed
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...
Instructional Video21:30
Curated Video

Multiply a proper fraction by a whole number where the product is greater than a whole

Pre-K - Higher Ed
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...
Instructional Video23:14
Curated Video

Checking and securing understanding of enlargement with positive fractional scale factors

Pre-K - Higher Ed
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...
Instructional Video15:30
Curated Video

Using the fx-991CW for number and algebra

Pre-K - Higher Ed
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...
Instructional Video23:20
Curated Video

Converting terminating decimals to fractions

Pre-K - Higher Ed
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. -...
Instructional Video25:13
Curated Video

Deepening understanding of multiplication with fractions

Pre-K - Higher Ed
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...
Instructional Video24:04
Curated Video

Securing understanding of addition and subtraction with fractions

Pre-K - Higher Ed
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...
Instructional Video24:32
Curated Video

Problem solving with arithmetic procedures involving fractions

Pre-K - Higher Ed
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...
Instructional Video25:42
Curated Video

Solve problems using fraction-decimal equivalents

Pre-K - Higher Ed
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
Instructional Video19:50
Curated Video

Rationalising a single term denominator

Pre-K - Higher Ed
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...