About this topic
Before you begin
Compare and rename fractions, work with mixed numbers and fractions of sets, and explain multiplication as parts of parts.
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
Choose a lesson
Work through them in order.
- Not startedEqual parts and fraction sizeNextName and compare fractions. Fix an order. Make your own fractions in order.
- Not startedEquivalent fractions and comparisonNextChange the number and size of equal parts. Keep the same fraction of the whole.
- Not startedMixed numbers and fractions of setsNextCount equal parts across wholes, apply a fraction to an explicitly chosen set and use a bar for large sets in two-step stories.
- Not startedAdd and subtract unlike fractionsNextChoose a common denominator and preserve equivalent amounts when combining fractional parts.
- Not startedAdd and subtract mixed numbersNextKeep the whole unit and part size consistent when combining or exchanging mixed numbers.
- Not startedMultiply fractions as parts of partsNextUse equal partitions to explain fraction multiplication before calculating.