Reasoning with Number 

OVERVIEW

Students will review and extend their mental strategies focussing on using a known number fact to find other facts. Working with equivalence between fractions, decimals and percentages will be developed within the context of probability. Factors and multiples will be revisited and connected to students understanding of prime numbers.

Please see here for additional medium term plans and resources including LPA & HPA guidance, further exemplar questions, worksheets and videos.

BUILDING ON

Arithmetic with decimals and fractions

FDP equivalence

Factors & Multiples

Forming and Solving equations

POWERFUL KNOWLEDGE

• Understand that probabilities of all possible outcomes sum to 1
• Enumerate sets and unions/intersections of sets systematically using Venn diagrams
• Prime factorisation including using product notation and the unique factorisation property
• Identify the HCF and LCM of sets of numbers
• Make and test conjectures about patterns and relationships; look for proofs and counterexamples

LESSON RESOURCES

Sets and Probability

Lesson 1 – Creating a Venn Diagrams

Lesson 2 – Working with a Venn Diagram

Lesson 3 – Probability of a single event

Lesson 4 – More Venn Diagrams

Lesson 5 – Sum of probabilities (Needs developing)

Prime Numbers and Proof

Lesson 6 – Types of numbers (Needs developing)

Lesson 6 – Prime Factor Decomposition

Lesson 7 – Working with Prime Factors

Lesson 8 – Factors and Primes

Lesson 9 – LCM

Lesson 10 – HCF & LCM with Venn Diagrams

EXIT TICKET

Fractions and Percentages of amounts

This block of lessons was unable to fit in Spring 1, please complete during Summer 2 if time.

Fraction of an amount (no calculator)

Find the whole amount

Percentage of an amount (no calculator)

Percentage of an amount – using a calculator

EXIT TICKET

YEAR 6 INDUCTION DAY

Updated July 2024