Download Unit 2 - Pearson Schools and FE Colleges

Sacred Heart Mathematics Department : Connect 3B
Unit 2 – N1 – Fractions, Decimals and Ratio – 10 lessons
Extension Connect 3R
Les- Lesson title
son
Objectives
Starter FrameNo
work
Add and subtract fractions
Begin to add and subtract algebraic
fractions
1
2.1 Adding and
subtracting
fractions
Add and subtract fractions
Multiply two or more fractions
Begin to multiply algebraic fractions
2
2.2 Multiplying
fractions
Multiply a fraction by a fraction, using cancelling to simplify
9
ICT/Additional
Resources
Badger: Yr8
10Ticks: L6
10Ticks: L6
Badger: Yr8
10Ticks: L5, P
10
Recognise and use reciprocals
Use the reciprocal key on the calculator
3
2.3 Dividing
fractions
Divide a fraction by a fraction
Divide one fraction by another
Begin to divide one algebraic fraction by
another
4
Understand the effect of multiplying and dividing by numbers between
0 and 1
Consolidate mental strategies for
multiplication and division involving
decimals
5
2.4 Multiplying
and dividing by
numbers between
0 and 1
2.5 Mental
methods
Solve problems involving percentages
Solve problems involving compound
interest
6
2.6 Fractions and Develop strategies for calculating fractions and percentages of numbers,
percentages
quantities or measures
Solve problems involving direct
proportion
Introduce notation ‘y α x’ for direct
proportion
7
2.7 Direct
proportion
Solve problems involving direct proportion
Use proportional reasoning to solve a problem
Extend concept of proportionality to
include inverse proportion
Recognise graphical interpretation of
variables which are inversely
proportional to each other
8
2.8 Percentages
Find the outcome of a given percentage increase or decrease
Solve problems involving percentage changes
Compare ratios by changing them to the
form 1:n or m:1
Recognise the ratios of lengths, areas
and volumes when comparing similar
shapes
9
Badger: Yr8
4
Consolidate mental strategies for multiplication and division involving
decimals
8
Badger: Yr8
14
19
16
10
Oral objectives:
Badger: Yr8
15
2.9 Ratio
TESTING
Compare two ratios by changing them to the form 1 : m or m : 1
Simplify a ratio expressed in different units
End of unit test. Mental Arithmetic. Review Test
Badger
13
Support Connect 3G
Multiply and divide positive and
negative integers
Use the sign change key on a
calculator
Order fractions by converting them to
decimals
Order fractions by converting them to
fractions with a common denominator
Order fractions by positioning them
on a number line
Add and subtract fractions by writing
them with a common denominator
Multiply and divide an integer by a
fraction
Calculate fractions of quantities
Order decimals by comparing digits
and by positioning them on a number
line
Use accurately the symbols <, >, , 
Find a number that is half way
between two others
Simplify a ratio to an equivalent ratio
by cancelling
Divide a quantity into two or more
parts in a given ratio
Solve simple problems involving
direct proportion
Consolidate understanding of the
relationship between ratio and
proportion
Understand percentage as the operator
‘so many hundredths of’
Calculate percentages of numbers,
quantities and measurements using
written methods and using a
calculator
Express one number as a percentage
of another
Find the outcome of a given
percentage increase or decrease
Key words:
denominator, numerator, equivalent fraction, common denominator, lowest common multiple, improper fraction, mixed number, cancel, mixed number, inverted, digit, tenths,
hundredths, strategy, multiplier, power of 10, divisor, unitary method