Year 5 Maths: Exploring Numbers and Patterns

MathsYear 515 slidesAustralian curriculum
Year 5 Maths: Exploring Numbers and Patterns

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Year 5 Maths: Exploring Numbers and Patterns
Slide 1

Year 5 Maths: Exploring Numbers and Patterns

WALT: We Are Learning To identify, describe and extend number patterns Success Criteria: I can find patterns in numbers and explain the rule Duration: 60 minutes

What Are Number Patterns?
Slide 2

What Are Number Patterns?

A pattern is something that repeats in a predictable way Number patterns follow a rule We can predict what comes next Examples: 2, 4, 6, 8... (adding 2 each time)

Pattern Detective Challenge
Slide 3

Pattern Detective Challenge

Look at these number sequences 5, 10, 15, 20, ? 1, 4, 7, 10, ? 100, 90, 80, 70, ? What comes next?

Types of Number Patterns
Slide 4

Types of Number Patterns

Counting patterns (2, 4, 6, 8...) Growing patterns (1, 3, 6, 10...) Decreasing patterns (20, 18, 16, 14...) Multiplication patterns (3, 6, 12, 24...)

Quick Check: What's the Rule?
Slide 5

Quick Check: What's the Rule?

Pattern: 7, 14, 21, 28, 35 What is the rule? What would be the next three numbers?

Finding Pattern Rules
Slide 6

Finding Pattern Rules

{"left":"Look at the differences between numbers\nIs it adding the same amount each time?\nIs it multiplying by the same number?","right":"Is it a combination of operations?\nWrite the rule in words\nTest your rule with the next number"}

Create Your Own Pattern
Slide 7

Create Your Own Pattern

Start with any number you like Choose a rule (add, subtract, multiply) Write the first 6 numbers in your pattern Challenge a partner to find your rule!

Real-World Number Patterns
Slide 8

Real-World Number Patterns

Bus timetables (every 15 minutes) Money counting (5c, 10c, 15c, 20c) Sports scores and points Calendar dates and weeks

Pattern Investigation Board
Slide 9

Pattern Investigation Board

Pattern Race Game
Slide 10

Pattern Race Game

Teams of 4 students Each team gets a pattern starter Race to extend the pattern correctly First team with 10 numbers wins!

Tricky Pattern Challenge
Slide 11

Tricky Pattern Challenge

Advanced Pattern: 1, 1, 2, 3, 5, 8, ? This is the famous Fibonacci sequence! Can you work out the rule? Extension: Where do we see this in nature?

Differentiation Strategies
Slide 12

Differentiation Strategies

Support: Use number lines and counters Core: Work with patterns up to 100 Extension: Create complex multi-step patterns Visual learners: Use pattern blocks and colors