concepts · 10
- 01
Adding In Columns
The student adds 5-digit and 6-digit numbers in column form and knows what a carry over is and where it goes.
- 02
Lining Up The Columns
The student arranges addends of different lengths correctly before adding, rather than stacking them as written.
- 03
Properties Of Addition
The student uses the order and zero properties to fill blanks without computing, and knows why the sum does not change.
- 04
Adding Orally
The student adds round numbers in the head by adding the short part and restoring the zeros.
- 05
Addition Word Problems
The student turns a worded situation into a labelled column sum, including when one quantity has to be worked out first.
- 06
Subtracting In Columns
The student subtracts 5-digit and 6-digit numbers with borrowing, including across a run of zeros.
- 07
Finding And Checking Differences
The student finds the difference between two numbers given in any order, and checks a subtraction by adding back.
- 08
Subtracting Zero And Subtracting Orally
The student applies the zero property, knows that subtraction order cannot be swapped, and subtracts round numbers mentally.
- 09
Subtraction Word Problems
The student recognises all four subtraction word-problem shapes in the chapter and sets each one out as a labelled column subtraction.
- 10
Review And Brain Teasers
The student works the chapter's own end-of-chapter questions unaided and knows where the remaining practice lives.