TEACHER EDITION

Number Patterns

Grade 4 · Lesson 3 · Dimensions 4A p.16
Math Book 4 · sheet 3
Warm-up — yesterday: Numbers to 1,000,000
What is the value of the 9 in 392,608?
90,000

What we are learning

A pattern is a rule applied again and again. Find the rule from two steps, then check it against a third.

How it is done — keep this beside you

These steps stay on your page while you work. If you get stuck, find the step you are on and read it again before you put your hand up.

1
A sequence.
1,200 1,400 1,600 ___
2
From the first to the second: what happened?
1,200 1,400 1,600 ___ 1,200 → 1,400 is +200
3
Check it on the next pair. Same jump.
1,200 1,400 1,600 ___ 1,200 → 1,400 is +200 1,400 → 1,600 is +200
4
The rule is +200. It held twice, so I will use it.
1,200 1,400 1,600 ___ 1,200 → 1,400 is +200 1,400 → 1,600 is +200 rule: + 200
5
Apply it.
1,200 1,400 1,600 ___ 1,200 → 1,400 is +200 1,400 → 1,600 is +200 rule: + 200 1,600 + 200 = 1,800

Practice

I DOteacher builds it, nothing erased
What comes next? 3,500 4,000 4,500 ___
  1. 3,500 → 4,000 is +500.
  2. Check: 4,000 → 4,500 is +500.
  3. 4,500 + 500 = 5,000
WE DO 1together, on whiteboards
What comes next? 12,000 11,000 10,000 ___
Find the jump, then CHECK it on the second pair. Boards up.
  1. −1,000 each time.
  2. 9,000
WE DO 2together, on whiteboards
What comes next? 2,000 2,200 2,400 ___
Do not assume the jump from the first pair alone.
  1. +200 each time.
  2. 2,600
YOU DOindependent, from the book
Book 4A p.16 — the Do section, clipped onto the slide
the book page
Ask yourself: “Did the rule hold twice, or did I only check it once?”
Watch for
Checking the rule on a SECOND pair is the whole method. A child who reads one jump and runs will be right most of the time and wrong exactly when the question is testing something.