Fractions
Build and connect the representations and methods in fractions.
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Before you begin
Build and connect the representations and methods in fractions.
Learning goals
- Represent fractions relative to a specified whole
- Write a different equivalent fraction
- Express a fraction in simplest form
- Write an equivalent fraction with a given numerator
- Write an equivalent fraction with a given denominator
- Compare unlike fractions
- Order unlike fractions
- Convert a mixed number to an improper fraction
- Convert an improper fraction to a mixed or whole number
- Express a selected part as a fraction of its whole set
- Find the number of objects in a fraction of a set
- Add and subtract unlike fractions
- Add and subtract mixed-number amounts
- Multiply a proper fraction by a whole number
- Multiply an improper fraction by a whole number
- Multiply two proper fractions
- Multiply a proper and an improper fraction
Syllabus statements covered
- fraction as part of a whole
- fraction as part of a set
- equivalent fractions
- expressing a fraction in its simplest form
- comparing and ordering unlike fractions, with denominators of given fractions not exceeding 12
- writing the equivalent fraction of a fraction given the denominator or the numerator
- mixed numbers and improper fractions and their relationships
- adding and subtracting fractions with denominators of given fractions not exceeding 12 and not more than two different denominators without calculator
- adding and subtracting mixed numbers
- multiplying a proper/improper fraction and a whole number without calculator
- multiplying a proper fraction and a proper/improper fraction without calculator
Lessons
Work through them in order.
About lesson progress
Lesson marks record what you have studied. Checks show understanding separately. Guest marks come from this device.
- Equal parts and fraction sizeName fractions of one whole and compare unit or like fractions with the same reference whole.
- Equivalent fractions and comparisonChange the number and size of equal parts without changing the fraction of the whole.
- Mixed numbers and fractions of setsCount equal parts across wholes and apply a fraction to an explicitly chosen set.
- Add and subtract unlike fractionsChoose a common denominator and preserve equivalent amounts when combining fractional parts.
- Add and subtract mixed numbersKeep the whole unit and part size consistent when combining or exchanging mixed numbers.
- Multiply fractions as parts of partsUse equal partitions to explain fraction multiplication before calculating.