Download Expressions and Formulae Mid Term SoL

Year 7 Autumn 2
3. Expressions and Formulae
Prior Knowledge: Students have had an introduction to algebra last half term so should be familiar with the notion of using
‘letters as numbers’.
Lesson Number
Learning Outcomes
Notes
Timings
and Title
1
1
- TBAT collect like terms, such as
Like Terms
- 4a + 5a – 2a
2
Single Brackets
3
- 4a + 5b – 2a – 3b
- 6x2 + 3 y - 3x2 -7y
- Know the correct vocabulary for the above – term, expression,
simplify
- Understand when and why we use brackets in calculations (BIDMAS)
- TBAT Multiply a single term over a bracket
- 3(x + 2)
- x(x + 3)
- -2(x + y + 5)
- 3x(4 + 2x)
- 2(x-3) – 5(x+2)
- Understand that a formula is a rule written algebraically
1
1
Formulae
- Arrive at answers by substituting answers into formulae
- A heating engineer charges a £60 call-out fee, plus £35 for each
hour worked, then plus any money spent on parts. Pauline has
three hours of work completed on her central heating system.
What is she charged for the work before parts are added on?
Kenny thinks of a number, multiplies it by 7 and then adds 12.
Write an expression to represent this.
- If d = 3, find 2d, 3d – 2, d2 , d(d+3)
- If d = -3, find 2d, 3d – 2, d2 , d(d+3)
-
What all should know
What most should know
What some should know
TBAT
collect
together
simple TBAT collect together like terms when Use index notation for small positive
expressions involving like terms e.g. 4a more than one letter is used
integer powers.
+ 5a – 2a
TBAT collect together like terms where
the answers may be negative numbers
Understand when and why we use Simplify linear algebraic expressions by TBAT multiply out more than one single
brackets in calculations (BIDMAS)
collecting like terms; begin to multiply bracket and collect like terms
a single term over a bracket (integer
coefficients).
TBAT multiply over a single bracket
Understand that a formula is a rule Arrive at answers by substituting
written algebraically
answers into formulae
Use letter symbols to represent
with terms involving small powers and
multiple variables.
Example: 3xy2(2x2 – 5xy)
Substitute integers into simple
formulae, including examples that lead
to an equation to solve, and positive
integers into expressions involving
small powers (e.g. 3x2 + 4 or 2x3).
Construct formulae given real life
contexts (write a formula to relate the
current year to your age).
Begin to distinguish the different roles
unknown numbers or variables; know
the meanings of the words term,
expression and equation.
Reason mathematically
Solve problems
played by letter symbols in equations,
formulae and functions; know the
meanings of the words formula and
function.
Fluency in mathematics