Download D 4

Year 8 Scheme of Work
Shirebrook Academy
Overview:
The premise behind the new SoW for Year 8 is that they will continue to secure
the underlying philosophies and skills that are needed to ensure success in
mathematics.
At the beginning of each new unit all students will attend a lecture in the theatre.
These lectures are designed to promote mathematical concepts, enjoyment of
mathematics and foremost to address the conception that many students have
about mathematics.
Units will be taught for the appropriate length of time and will not stick to term
duration, therefore if one unit needs nine weeks then it will run for nine weeks.
For each unit teachers will be given the objectives, main activities / resources
should be saved in the appropriate folders on the network. At the end of every
unit students will complete an assessment. Students will have one exercise
book. Key pieces of work and Assessments will be stuck into the front of the
student’s books and marked. Practise work and day to day workings will be done
in the back of the student’s book which will be turned upside down. It will be
left to the discretion of the teacher as to what and when to mark the practise
work.
Technicalities:
All presentations will be in the same format. No underlining, italics or block
capitals. The date, title and objective will be in bold. The font size will be the font
recommended for Dyslexia students (dysle+iefont.com) and the font size will be
12 – 14 point.
Unit 1
The World of Number
Lesson 1: lecture on number, looking at primes and triangular numbers, and
the patterns that are found in everyday life.
Types of Number
Do now task foci: properties of shapes
Objectives
Old
GCSE
Grade
To be able to calculate squares and square roots (with
F
and without a calculator)
To be able to calculate cubes and cube roots
E
To be able to use function keys when using a calculator
E
to solve problems with powers and roots
To be able to use the terms square, square root, negative
D
square root, cube and cube root.
To be able to recall integer squares from 2 x 2 up to 15 x
D
15 and their square roots.
To be able to recall cubes of 2,3,4,5 and 10
D
New
Number
Grade
2
3
3
4
4
4
Unit 1b Indices
Do now task foci: simple area and compound area
Objectives
Old
GCSE
Grade
To be able to evaluate expressions involving different
D
indices
To be able to use laws of indices to multiply and divide
C
numbers or expressions written in index notation
To be able to understand and use index notation in
D
calculations
To be able to simplify algebraic expressions involving
B
index laws (ext for higher ability)
New
Number
Grade
4
5
4
6
Unit 1c Standard Form
Do now task foci: angle facts and missing angles
Objectives
Old
GCSE
Grade
To be able to write very large and very small numbers in
B
standard form
To be able to convert freely between standard form and
B
ordinary numbers
To be able to perform simple calculations with numbers
B
written in standard form
New
Number
Grade
6
6
6
Final lesson:
Objectives
Old
GCSE
Grade
To be able to have an understanding of rational, natural,
A
imaginary and irrational numbers (Plus Notation)
New
Number
Grade
7
Unit 2 Negative numbers
Do now task foci: negative numbers
Lesson 1: lecture on negative numbers, looking at real life applications and
their impact on society. What would the world be like if we had no negative
numbers.
Objectives
To be able to use negative numbers in context
To be able to order negative numbers
To be able to add and subtract negative numbers
To be able to multiply and divide negatives
Old
GCSE
Grade
G
F
F
E
New
Number
Grade
1
2
2
3
To be able to use BIDMAS involving negatives
To be able to calculate sums with powers of negative
numbers
To be able to use a calculator to evaluate sums involving
powers and negative numbers
F
2
F
2
Unit 3 Algebra
Do now task foci: Number of the day
Lesson 1: students will understand that an unknown is used in a mathematical
way in everyday life.
Objectives
Old
GCSE
Grade
E
G
F
G
F
E
D
New
Number
Grade
3
1
2
1
2
3
4
Old
GCSE
Grade
To be able to state and plot coordinates in all four
G
quadrants. Extend to finding the midpoint of two
coordinates within all four quadrants.
To be able to draw straight lines that are parallel to the
F
axis. Such as x = 3 and y = -5.
To be able to draw straight lines given a table of values
E
for lines such as y = x + 7 or y = x + 3 or y = x - 1.
To be able to solve one linear inequality and represent it
C
on a number line. Write down the integers that satisfies
that inequality.
New
Number
Grade
1
To be able to form and rewrite formulae from diagrams
To be able to use a formula written in words
To be able to use simple formula
To be able to form equations
To be able to substitute numbers in to a formula
To be able to collect like terms
To be able to solve one and two step equations
Unit 3b Algebra unseen
Do now task foci: types of number and venn diagrams
Objectives
2
3
5
To be able to solve two linear inequalities Write down
the integers that satisfy both inequalities using a
number line if necessary.
To be able to identify arithmetic sequences and to
continue sequences. To also be able to state the 10th
term of a sequence or the difference between the 9th
term and 12th term. Extend sequences to square, cube,
triangular, and Fibonacci sequences. Identify number
patterns that are not standard.
To be able to find the nth term of a linear sequence.
Unit 4
F
2
C
5
Fractions
Do now task foci: rounding
Lesson 1: lecture on fractions
Fractions
Objectives
Old
GCSE
Grade
Write fraction of shape a shaded/unshaded. Simple
G
equivalent fractions. Which fractions from a list aren't
equivalent.
New
Number
Grade
1
Use of LCM to find common denominator.
D
4
Addition and subtraction using LCM for denominators.
Extending to mixed numbers.
C
5
Convert between improper and proper fractions Add,
subtract. This is to include functional problems.
D
4
Fractions of an amount
E
3
Unit 4 B
Fractions Decimals and Percentages
Do now task foci: worded number problems
Lesson 1: lecture on fractions, decimals and percentages
FDP
Objectives
Building from shading to finding equivalent fractions and simplifying
fractions. Ordering fractions. Extending to equivalence between
Fractions, Decimals and Percentages.
Ordering Fractions, equivalence between Fractions, Decimals and
Percentages.
Old
GCSE
Grade
D
D
New
Number
Grade
4
4
Unit 5 Ratio and Proportion
Do now foci: negative numbers
Lesson 1: come dine with me
Ratio and Proportion
Objectives
Express a multiplicative relationship between two quantities as a ratio or
a fraction. Relate ratios to fractions and to linear functions
Old
GCSE
Grade
C
New
Number
Grade
3
Putting ratios in simplest form. Divide simple quantities by a given ratio
such as dividing £30 in a ratio of 2:3. Use the bucket method.
D
4
Divide a given quantity into two parts in a given ratio. Apply ratio to real
life contexts and problems (The different types of ratio questions should
be covered). Understand and use proportion as equality of ratios e.g.
recipe questions
D
4
Solve and construct problems involving direct proportion. (involving
graphical and algebraic representations)
Level 6 only
A
9
Unit 6 Percentages
Do now task foci: collecting like terms and solving simple algebra
Lesson 1: students will look at the place of percentages in context to life
Objectives
Old
GCSE
Grade
Understand that % means out of 100, the line means
F
divide
Work out a percentage of a given quantity
E
Increase or decrease a quantity by a given percentage
D
Express one quantity as a percentage of another
Work out a percentage decrease or increase
C
New
Number
Grade
2
3
4
5