Mathematics·Fractions·procedural
Mixed & Improper Fractions
Use the four operations with formal written methods applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative
Suggested ages 11–13
Evidence of understanding
- Add, subtract, multiply, and divide with positive and negative integers
- Apply formal written methods to calculations with decimals of any size
- Perform all four operations with proper fractions, improper fractions, and mixed numbers
Assessment prompt
If Mixed & Improper Fractions needs to work out −1/2 + 3/4 − 1 and 1/4 as part of a longer problem, can they do it using written methods — showing each step clearly?
Standards alignment
6.NS.1US · ccss-math
Interpret and Compute Quotients of Fractions
Common Core State Standards for Mathematics · 6
6.NS.3US · ccss-math
Fluently Compute with Multi-Digit Decimals
Common Core State Standards for Mathematics · 6
7.NS.3US · ccss-math
Solve real-world and mathematical problems involving the four operations with rational numbers
Common Core State Standards for Mathematics · 7
KS3.Maths.Num.4GB · uk-nc-2013
The Four Operations
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3