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'I'm
thinking of a number, 2m; double it, add 3n, what
is the answer?' Pupils to write down expression
/ equation. Repeat.
(only Qs involving + & -) |
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- understand
that algebraic operations follow the same conventions
as arithmetic operations
- use letters to represent
unknown numbers or variables; know the meanings
of the words term, expression and equation
- simplify linear algebraic
expressions by collecting like terms; begin to multiply
a single term over a bracket (integer coefficients) |
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Each
side = c; Perimeter?
Each
side increases by 2; Perimeter?
= c+2+ c+2+ c+2
= 3 x (c+2).
Extend to other shapes' developing understanding
of multiplying out ( )s |
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Focus:
accurate use of expressions involving addition &
subtraction, eg: c+c+c
- Develop Introduction to include other shapes
- Develop Introduction to include other contexts;
eg: money, cooking times, everyday situations ...
Eg: WS
A4/1: Building Pyramids
For an interactive exercise on expressions, try
this online activity
Postie
(level 1: 1-step calculations; level 3: multi-step
calculations)
OR,
For a review of the use of letters for numbers,
addition and subtraction, go to:
Revise
Algebraic Addition and Subtraction |
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OHS
A4/1: Number Pyramids
- to review and extend skills in collecting like
terms - can include more challenging terms / fractions
/ decimals / negative numbers |
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A
rectangle is 3 cm long & c cm wide. Area?
Repeat with similar Qs for other shapes.
Extend to:A rectangle is c+3 cm long & c cm
wide. Area?
... leading to expressions such as c x (c + 3) &
equations such as A = c x (c + 3)
(for partitioning approach, see p 116) |
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Focus:
accurate use of expressions involving multiplication
& division, eg: 3 x c
- Develop Introduction to include other shapes
- Develop Introduction to include other contexts;
eg: money, cooking times, everyday situations ...
- Include expressions requiring use of all 4 operations
to gain insight into application of arithmetic rules
to algebraic expressions
- Qs involving use of inverses
Eg 1 : A rectangle is (p
+ 4) cm long & 5 cm wide. Prove A = 3 x (p +
4) = 3p + 20 by dividing this shape into smaller
rectangles.
Eg 2 : If a x 9 + 2 = 29,
then a = (23 - 5) ÷ 3 = ...For further contexts,
go to:
Writing
Algebraic Expressions |
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Review learning
using a wider range of 'I'm thinking of a number
…' type questions; pupils to say or write
down an expression or equation; and converse activity
(Qs involving X, ÷,
indices & brackets) |
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