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Applying Arithmetic Properties in Calculations

Applying Arithmetic Properties in Calculations

Addition & Subtraction
Year 6
Multiplication & Division
Set status

Curriculum
6AS/MD–2: Use arithmetic properties, inverse relationships, and place-value understanding to derive calculations and solve problems. This approach develops the ability to think logically and apply known mathematical principles to find solutions for unknown variables.
Encourages a strategic approach to problem solving, vital for advanced mathematical reasoning and algebra.
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Resources
Hugo Cheyneover 1 year ago
https://www.mathswithmum.com/wp-content/uploads/2018/11/Multiplying-by-9-and-19-Worksheet.pdf

Basic practice problems for multiplication using the compensation method. The problems aren't as varied as you could hope, but they do help to reinforce learning.

Hugo Cheyneover 1 year ago
https://quizizz.com/admin/quiz/5d8a5b6722f450001ae969f5/compensation-strategy-addition

Practice online quiz questions on the compensation property of addition.

Hugo Cheyneover 1 year ago
https://www.splashlearn.com/math-vocabulary/algebra/compensation

Explains the compensation property for addition and multiplication, with 5 practice problems at the bottom.

Hugo Cheyneover 1 year ago
https://math-salamanders.s3-us-west-1.amazonaws.com/Math-Problems/Multiplication-Problems/5th-Grade-Multiplication-Problems/multiplication-problems-5-3uk.pdf

A series of multiplication practice word problems and answers to get students thinking logically! 5.3A is the easiest, 5.3C the hardest.

Hugo Cheyneover 1 year ago
https://www.youtube.com/watch?v=b1lJnC4KWcU

Brilliant video showing how to use the compensation method for sums, multiplications and divisions to simplify difficult looking problems.

Hugo Cheyneover 1 year ago
https://www.bbc.co.uk/bitesize/articles/zfbqnrd

Explains the compensation property of addition and subtraction. For example, subtracting 9 might be more easily seen as subtracting 10 and adding 1. Video explainer and practice exercise.

Required Topics
Not started IconApplying Scaling by Fractions
Not started IconAdditive and Multiplicative Relationships
Not started IconScaling with Powers of Ten
Not started IconAdding and Subtracting Fractions with Bridging
Next Topics
Not started IconSolving Ratio Problems