Equations and Inequations - Knightswood Secondary School

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Main resource: TJ Credit/Int2 Book 1
Year group/Class: S3/S5
Knightswood Secondary School
Department of Mathematics
Scheme of Work
Chapter 12
Level Credit/Int2
Period Attainment Targets
Equations and Inequations
Exercises and
questions
Ex 12.1
page 136
Additional
Resources/ICT
None
There is scope to use
learning partners
here.
1
Solving Equations
Learning intention – Solving simple
linear equations
Success Criteria – Recognises an
equation, knows the simple strategies
to solve equations, able to set down
working correctly.
2
Solving Equations
Learning intention – Solving simple
linear equations
Success Criteria – Recognises an
equation, knows the simple strategies
to solve equations, able to set down
working correctly, can deal with
brackets and fractions in answer.
Solving Equations
Learning intention – Solving more
complicated equations
Success Criteria – Able to deal with x²
terms and apply these equation types
to problem solving.
Ex 12.1
page 136
None
There is scope to use
learning partners
here.
Ex 12.2
page 138
None
Solving Equations
Learning intention – Equations with
Fractions
Success Criteria – able to identify
LCM of the denominators, then knows
how to multiply by LCM to eliminate all
fractions
Ex 12.3
page 139
It may be useful to
begin lesson with a
starter to remind
pupils of how to
multiply by a fraction.
i.e.
2/5 X 30 =
3
Special Notes
Homework
Remind class of the basic
rules, i.e. “xs to one side,
numbers to the other”,
“change the side, chamge
the sign”, “if it’s stuck to the
x then it goes underneth on
the other side” etc..
Illustrate with plenty of well
set down examples.
Reminders of multiplying out
brackets and collecting like
terms.
Illustrate with more selected
examples.
none
Show clear examples on the
board.
Expressions like (X+2)²
should be written as
(x+2)(x+2), leaving the
associated rule to another
day.
Beginning with simple
examples, illustrate the
method on the board.
Complete Ex 12.2
page 138
Complete Ex 12.1
page 136
Complete Ex 12.3
page 139
Chapter 12
Level Credit/Int2
Period Attainment Targets
1
Solving Equations
Learning intention – More Equations
with Fractions
Success Criteria – able to identify LCM
of the denominators, then knows how
to multiply by LCM to eliminate all
fractions, deal with different formats of
fractions (e.g.
Equations and Inequations
Exercises and
questions
Ex12.4 page 140
Additional
Resources/ICT
Use an equation with
fractions to solve as a
starter
Special Notes
Homework
Do some examples on the
board by way of a reminder.
Compare the two ways of
writing expressions down.
Complete the exercise as far as
possible.
1
2x  5
(2 x  5) 
4
4
5 x  3 3x  2 1

 )
4
8
2
Solving Inequations
Learning intention – Solving
Inequations
Success Criteria – Knows to apply
same rules as for solving equations,
knows to change the inequality sign if
dividing or multiplying by a negative.
Ex12.5 page 141
As many questions as
possible
Use another equation
with fractions to solve
as a starter
Solving Inequations
Learning intention – Solving
Inequations containing fractions,
brackets and negatives
Success Criteria – Knows to change
the inequality sign if dividing or
multiplying by a negative, knows how
to deal with fractions and brackets,
knows the condition for turning the
inequality sign round.
Solving Inequations
Learning intention – Applications of
Inequations
Success Criteria – Can apply existing
skills to problem solving, able to model
questions using suitable inequations
and solve
Solving Inequations
Ex12.5 page 141
Complete to number 8
Use an inequation
with fractions to solve
as a starter
Ex12.5 page 141
To completion
Use an inequation
with fractions and
brackets to solve as a
starter
Remember remember
page 143
Illustrate the same method
for dealing with fractions and
clearly show how to apply it
to the new format of fraction.
Define an inequation and go
over all the inequality signs.
Do some straight forward
examples which have the
same familiar steps as
solving an ordinary equation.
Explain when to reverse the
inequality sign and illustrate
with suitable examples.
Give further examples of
type seen in questions 6, 7
and 8.
Do as many as necessary.
Ex12.5 page 141
To question 5
Ex12.5 page 141
To question 5
Remianing questions to be
attempted by pupils initially
then solution given on
board.
Complete the exercise
Consolidation
All questions
Chapter 12
Level Credit/Int2
Problem Solving in Learning and Teaching
Evaluation of Topic
Equations and Inequations
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