Directed Number & Fractional Thinking
Overview
This unit is designed to extend and deepen pupils understanding of directed numbers and fractions. We will use a vertical number line alongside double sided counters to represent and work with directed numbers. We will use a horizontal number line alongside multiple representations to develop students conceptual understanding of fractions. These representations and contexts will be used to ensure pupils appreciate the meaning these types of numbers rather than relying on a set of potentially confusing “rules”.
Please see here for resources including LPA & HPA guidance, further exemplar questions, worksheets and videos.
Medium term plan can be found here
Lesson Resources
Operations with Directed Number
Developed by NES
Lesson 1 – Which is larger? (Updated Feb 25)
Lesson 2 – Comparing Temperatures (Updated Feb 25)
Lesson 3 – Adding Negative Numbers (Updated Feb 25)
Lesson 4 – Subtracting Negative Numbers (Updated Feb 25)
Lesson 5 – Evaluating Negative Number Statements (Updated Feb 25)
Lesson 6 – Multiplication with negative numbers (Updated Feb 25)
Lesson 7 – Division with negative numbers (Added Feb 25)
Lesson 8 – Order of operations with negative numbers (Updated Feb 25)
Lesson 9 – Using a calculator with Negative Numbers (Added Feb 25)
Lesson 9 – Collecting like terms with negative numbers
Lesson 10 – Substitution with Negative Numbers
Lesson 11 – Solving two step equations
Fractional Thinking
Developed by TLES
Lesson 11 – Improper Fractions (Updated Feb 25)
Lesson 12 – Mixed Numbers to Improper Fractions (Updated Feb 25)
Lesson 13 – Expressing one quantity as a fraction of another (Added Feb 25)
Lesson 14 – Adding and subtracting fractions with same denominator (Updated Feb 25)
Lesson 15 -Adding and subtracting fractions with different denominator (Updated Feb 25)
Lesson 16 – Adding and subtracting fractions magic squares and pyramids
Lesson 17 – Calculating with Fractions and Decimals (Needs developing)
Lesson 18 – Adding and Subtracting some algebraic fractions (Updated for 2024 – 25)
Lesson 19 – Adding and Subtracting some more algebraic fractions (Updated for 2024 – 25)