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| 1. EQUATIONS, FORMULAE &
IDENTITIES: |
Represent unknown numbers / variables
with letters |
A1, A4 |
| 2. EQUATIONS, FORMULAE & IDENTITIES: |
Know meanings of 'term', expression' and 'equation' |
A4 |
| 3. EQUATIONS, FORMULAE &
IDENTITIES: |
Understand that algebraic operations
follow the same conventions and order as arithmetic operations |
A4 |
| 4. EQUATIONS, FORMULAE & IDENTITIES: |
Simplify linear algebraic expressions by collecting like
terms |
A4 |
| 5. EQUATIONS, FORMULAE & IDENTITIES: |
Begin to multiply a single term over a ( ) - integer
coefficients |
A4 |
| 6. EQUATIONS, FORMULAE & IDENTITIES: |
Use simple formulae from maths etc, substituting + integers
in simple linear expressions & formulae |
A5 |
| 7. EQUATIONS, FORMULAE & IDENTITIES: |
- and derive a formulae in simple cases |
A2 |
| 8. PROBLEM-SOLVING: |
Identify info necessary to solve problem |
A3 |
| 9. PROBLEM-SOLVING: |
Represent problems - symbols / diagrams / tables / graphs |
A3 |
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| 1. EQUATIONS, FORMULAE & IDENTITIES: |
Represent unknown numbers / variables with letters
|
A1, A2 |
| 2. EQUATIONS, FORMULAE & IDENTITIES: |
Know meanings of 'term', expression' and 'equation' |
A2 |
| 3. EQUATIONS, FORMULAE &
IDENTITIES: |
Understand that algebraic operations
follow the same conventions and order as arithmetic operations
|
A2 |
| 4. EQUATIONS, FORMULAE & IDENTITIES: |
Simplify linear algebraic expressions by collecting
like terms |
A2 |
| 5. EQUATIONS, FORMULAE & IDENTITIES: |
Begin to multiply a single term over a ( ) - integer
coefficients |
A2 |
| 6. EQUATIONS, FORMULAE & IDENTITIES: |
Construct / solve simple linear equations (integer coefficients)
|
A5 |
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| 1. EQUATIONS, FORMULAE & IDENTITIES: |
Construct / solve simple linear equations (integer coefficients)
|
A4 |
| 2. EQUATIONS, FORMULAE & IDENTITIES: |
Use simple formulae from maths etc, substituting positive
integers in simple linear expressions & formulae ... |
A2 |
| 3. EQUATIONS, FORMULAE & IDENTITIES: |
... and derive a formulae in simple cases |
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INTRODUCTION: This strand
focuses on equations, formulae & identities, whilst
the A1 >A3 strand focuses on sequences & functions
& graphs. However, the autumn term unit, A1, includes
elements of both strands, for a balanced introduction
to Y7 Algebra. Also, the final unit, A5, reintegrates
the 2 strands in the summer term.
- The L.O. to use letters to represent unknown numbers
or variables is common to units A1, A2 &A4 over
the Spring & Summer terms.
- A4 has no problem-solving L.O.s. It provides a
further opportunity to revisit all the Autumn term
L.O.s relating to arithmetic operations. Construction
of and solving equations form the only new, but clearly
significant L.O. and occur again in A5.
- The basic pattern for each unit is as follows:
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A2 5h Autumn Term
Key L.O.s: 1. Represent unknown numbers / variables
with letters
2. Algebraic operations as arithmetic operations
Although A2 appears to be very skills-based, it also
requires a clear conceptual connection to be made between
arithmetic and algebraic operations. Because the key
objectives for A2 are to represent unknown numbers &
variables with letters and to understand algebra operations
as arithmetical in nature, this unit forms a watershed
in pupils' understanding of algebra. Furthermore, because
it also follows on from the Y5/6 Programme where the
objective is to understand & use the principles
of the 4 arithmetic laws, it also contributes to pupils'
understanding of Number.
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A4
4h Spring Term Key L.O.s: 1. Represent unknown numbers
/ variables with letters
2. Algebraic operations as arithmetic operations
This short unit allows a 're-run' of the autumn
term unit L.O.s, A2. It also includes the solving &
construction of equations and these can be linked later
to functions, mappings and graphs in A3 (Spring term)and
in A5 (Summer term |
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| A5
8h Summer Term Key L.O's: 1. Plot graphs of simple linear
functions As noted above, this summer term unit
reintegrates the two strands, A1 > A3 > A5 and
A2 > A4 > A5 so that equations & formulae
are used to develop pupils' understanding of sequences
and functions. The problem-solving L.O.s from A1 are
repeated here ('What if ...?' and generalisation), but
can be explored more deeply in the final unit. By now,
pupils will have experienced a rich variety of contexts
for representation of unknown numbers & variables
with letters. They will have used sequences in A1 &
A3 to extend sequences term-to-term, & position-to-term.
These experiences can now be used to teach more formally
the concept of a function in A5.
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