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

Lesson 1 – Which is larger?

Lesson 2 – Adding Negative Numbers

Lesson 3 – Subtracting Negative Numbers

Lesson 4 – Comparing Temperatures

Lesson 5 – Evaluating Negative Number Statements

Lesson 6 – Multiplication and Division with negative numbers

Lesson 7 – Order of operations with negative numbers

Lesson 8 – Using a calculator with Negative Numbers

Lesson 9 – Collecting like terms with negative numbers

Lesson 10 – Substitution with Negative Numbers

Lesson 11 – Solving two step equations

Fractional Thinking

Lesson 11 – Improper Fractions

Lesson 12 – Mixed Numbers to Improper Fractions

Lesson 13 – Expressing one quantity as a fraction of another

Lesson 14 – Adding and subtracting fractions with same denominator

Lesson 15 -Adding and subtracting fractions with different denominator

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)

Check Point