These lessons on number are intended to introduce some of the key ideas needed to work with algebraic expressions later on. I currently plan to teach these mostly in year 7, followed by equivalent lessons involving algebra.
In the long term, I hope that they will help students to understand why 5x +3y – 2x ≡ 5x – 2x + 3y and why .
|Aims||Lesson Plan||Resources Mentioned in Lesson Plan||Notes|
|To apply the order of operations with the four main operations and brackets||operations A – plan (down the page layout)||operations A|
|To apply the order of operations with powers||operations B – plan (order of ops with powers)||operations B|
|To apply the order operations with negative numbers||operations C – plan (order of ops with negatives)||operations C|
|To understand and use the commutative and associative properties||operations D – plan (commutative, associative)||operations D – notes|
|To know that you can think of subtraction as adding a negative.
To use this to move constant terms around an expression
|operations E – plan (rearranging sums)|
|To know that you can think of division as multiplication by a fraction
To use this to move numbers around within a term
|operations F – plan (rearranging multiplications)|
|To know the terminology inverse pair
To know that +a-a is equivalent to +0 and that is equivalent to multiplying by 1
|operations G – plan (inverse pairs)||operations G|
|To understand the distributive property of operations.
To know which operations distribute over others, including powers and roots.
|operations H – plan (distributive)||operations H – notes|