Algebra in the primary curriculum

Rules and properties - fifth and sixth class

Content for fifth class

The child should be enabled to

• Explore and discuss simple properties and rules about brackets and priority of operation?
Identify, discuss and compute expressions with brackets in a variety of positions?
10 + (4 + 7) = _
(10 + 4) + 7 = _
(8 - 1) + 4 = _
8 - (1 + 4) = _
(3 x 4) + 5 = _
3 x (4 + 5) = _
8 divided by (2 + 2) = _
(8 divided by 2) + 2 = _
What is the significance of the positions of the brackets?
Identify, discuss and compute expressions with brackets excluded e.g.
4 + 3 x 5 = __
12 x 6 + 3 = __
2.45 divided by 5 - 0.75 = __
96 divided by 8 - 12 = __
What is the significance of starting operations at different points?
Establish the value of brackets, leading to the priority of multiplication and division over addition and subtraction.
Explore these properties and rules without and with a calculator.
• Identify relationships and record verbal and simple symbolic rules for number patterns?
Identify and discuss rules for simple number sequences 2.0, 3.5, 5.0, 6.5 … i.e. sequence increases by adding 1.5
81, 27, 9 … decreases by dividing by 3
1, 4, 9, 16, 25, 36 … etc?

Content for sixth class

The child should be enabled to

• Know simple properties and rules about brackets and priority of operation.
Use the calculator in exercises to find missing numerals and missing operator
e.g. 37 ? 21 ? 23 = 800 or 27 ? (36 ? 11) = 675
• Identify relationships and record symbolic rules for number patterns?
Deduce and record rules for given number patterns e.g. 2, 6, 12, 20, 30 … or 4:1, 8:2, 16:4 …etc.