Sacred Heart Mathematics Department : Connect 3B
Unit 3 – A3 – Equations and Formulae – 9 lessons
Extension Connect 3R
Construct and solve linear equations
[with or without brackets, negative signs
anywhere in the equation, positive or
negative solutions
Use algebraic methods to solve simple
non-linear equations
Use trial and improvement methods and
ICT to solve non-linear equations
Construct and solve linear and nonlinear equations using an appropriate
method
Les- Lesson title
son
Objectives
Starter FrameNo
work
1
3.1 Solving
equations
Solve linear equations (with and without brackets, negative signs
anywhere in the equation, positive or negative solution)
Understand the meaning of the word ‘equation’
2
3.2 Constructing
equations
Construct and solve linear equations (with and without brackets,
negative signs anywhere in the equation, positive or negative solution)
3–4
32
6
5
3.4 Square roots
and cube roots
Estimate square roots and cube roots
Use trial and improvement methods to find square roots and cube roots
Solve a pair of simultaneous linear
equations by first multiplying one
equation by a constant and then
eliminating one variable by adding or
subtracting equations
6–7
3.5 Using ICT to
find solutions to
equations
Use ICT to find approximate solutions to non-linear equations
3.6 Inequalities
Know the meaning of an identity and the identity sign
Know that an inequality or ordering is a statement that one expression is
greater or less than another
Know that an inequality remains true if you add or subtract the same
number from both sides and multiply or divide by a positive number.
The sign changes if you divide both sides by a negative number
End of unit test. Mental Arithmetic. Review Test
9
Oral objectives:
Key words:
9
3.3 Solving
Use algebraic methods to solve simple non-linear equations
equations
involving squares
Solve a pair of simultaneous linear
equations by eliminating one variable
(by substitution)
8
1
TESTING
ICT/Additional
Resources
Badger: Yr8
10Ticks: L6
10Ticks: L6
Badger: Yr8
10Ticks: L5, P
Badger: Yr8
Badger: Yr8
Support Connect 3G
Solve linear equations with integer
coefficients (unknown on one side)
by transforming both sides in the
same way
Construct linear equations with
integer coefficients (unknown on one
side) and solve them by transforming
both sides in the same way
Solve simple linear equations with
integer coefficients (unknown on both
sides) by transforming both sides in
the same way
Begin to interpret the equals sign
more broadly
Construct linear equations with
integer coefficients (unknown on both
sides) and solve them by transforming
both sides in the same way
Substitute integers into simple linear
expressions
7
Badger: Yr8
Begin to use graphs and set up
equations to solve simple problems
involving direct proportion
2
Badger
solve, unknown, simplify, square, square root, cubic, inverse, cube root, trial and improvement, estimate, lower bound, upper bound, inequality, satisfy, identity