Notes
Year: 6, Victoria, Subject: Mathematics, Topic: Select and apply efficient mental and
written strategies and appropriate digital technologies to solve problems involving all four
operations with whole numbers and make estimates for these computations (VCMNA209)
Name: ___________ Date: ___________
1. Previous Knowledge
To understand this topic, you should already know:
      How to add, subtract, multiply, and divide small whole numbers (e.g., numbers less than
       100).
      The place value of digits in numbers up to thousands (e.g., in 345, "3" is hundreds, "4" is
       tens, "5" is ones).
      Basic mental math strategies like:
           o Counting on or back (e.g., to add 7 to 15, count up: 16, 17, ..., 22).
           o Making tens (e.g., 8 + 7 = 8 + 2 + 5 = 10 + 5 = 15).
           o Using doubles (e.g., 6 + 6 = 12).
      How to use a calculator for basic operations (addition, subtraction, multiplication,
       division).
      Basic ideas about fractions and decimals, though this topic focuses on whole numbers.
These skills will help you learn the more advanced strategies in this topic.
2. Topic Explanation: Efficient Strategies for Operations
with Whole Numbers
This topic teaches you how to add, subtract, multiply, and divide whole numbers using mental
strategies (in your head) and written strategies (on paper). You’ll also learn to estimate
answers and use digital technologies like calculators to check your work.
Addition
      Mental Strategies:
         o Partitioning: Break numbers into tens and ones.
             Example: 23 + 45
                  23 = 20 + 3
                  45 = 40 + 5
   Tens: 20 + 40 = 60
   Ones: 3 + 5 = 8
   Total: 60 + 8 = 68