Counting forwards

Counting forwards

Lessons

In this lesson, we will learn:

  • How do we count forwards using: the numbers 0 to 9, number lines (and negative numbers), and big numbers (up to millions)?
  • Counting forwards can help us write addition statements.

Notes:

  • We use numbers to represent how many things there are.
    • You can count how many things there are by counting FORWARDS:
    • 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, …
  • Technically, the number line starts at 0 but zero means there are no things to count. That’s why you start counting at 1

  • Counting forwards means the counting numbers are getting BIGGER
    • If you look at a number line, counting forwards means going from left to right

Counting: Counting Forwards

  • Negative numbers also count forward by going from left to right on a number line
    • Don’t get confused! The negative numbers (digits) are going backwards, but they have a negative sign!
    • The smaller your negative, the bigger your value (less negative = bigger)
    • Ex. counting forwards in negatives: -5, -4, -3, -2, -1, 0

  • Recall: number PLACE VALUES!

  • Counting: Counting Forwards

    • The smaller place values are on the right, the bigger place values are on the left
    • When the digit increases (from 0 to 9): after you hit 9, next you will increase 1 into the place value on the left. Your digit will then start again from 0 (and count up to 9, repeating the process)

  • You can also use your fingers to count forward and find out how many numbers you have increased (counted up) by.
    • Put down all your fingers (zero fingers up) when you start on your first number.
    • Each number you count, raise one more finger.
    • When you reach your last number, you can count your raised fingers
    • Ex. counting from 23 up to 26: you count up by three

    Counting: Counting Forwards

    • This can allow you to make addition statements!
      • [starting #] + [how much you counted up] = [last #]
      • Ex. counting from 23 up to 26, the addition statement would be: 23 + 3 = 26
  • Introduction
    Introduction to Counting Forwards:
    a)
    How do we count forwards?

    b)
    How do we count forwards with negative numbers?

    c)
    How do we count forwards with big place values?

    d)
    How can we use counting forwards to understand addition?


  • 1.
    Counting forwards to find the next numbers
    Fill in the next four blanks after each number by counting forwards.
    a)
    73, ___, ___, ___, ___

    b)
    245, ___, ___, ___, ___

    c)
    6319, ___, ___, ___, ___

    d)
    78 046, ___, ___, ___, ___

    e)
    1 520 898, ___, ___, ___, ___

    f)
    -2, ___, ___, ___, ___

    g)
    -100, ___, ___, ___, ___


  • 2.
    Counting forwards to find numbers between
    List the numbers in between the given numbers by counting forwards.
    a)
    84 and 92

    b)
    7529 and 7536

    c)
    12 695 and 12 703

    d)
    -54 and -49


  • 3.
    Counting forwards and addition statements
    Count forwards to find the difference between two numbers. Then, rewrite as an addition statement.
    a)
    359 and 365

    b)
    412 768 and 412 779

    c)
    5 999 996 and 6 000 005

    d)
    -102 and -93


  • 4.
    Counting forwards word problem
    Gwen and 5 of her friends go to a carnival together. Each person got a raffle ticket. Gwen was first, and her number is "240 997". The raffle tickets are labelled in order. What are the numbers of her friends' tickets?