Download Know and use the formula for the area of a rectangle

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Unit
Lesson title
Objectives
1 – Integers and
sequences
1.1 – Adding integers
2 – Angles and shapes
TB pages
PB pages
Add positive and negative integers in context
Use the sign change key on a calculator
4–5
2–3
1.2 – Subtracting integers
Subtract positive and negative integers in context
Use the sign change key on a calculator
6–7
4–5
1.3 – Tests for divisibility
Use simple tests of divisibility
8–9
6–7
1.4 – Sequences from
patterns
Generate sequences from practical contexts and describe the general
term in simple cases
10–11
8–9
1.5 – Generating sequences
Generate terms of a simple sequence, given a rule (e.g. finding a term
from the previous term, finding a term given its position in the sequence)
12–13
10–11
1.6 – Investigating
Sequences
Generate terms of a simple sequence, given a rule for finding a term
given its position in the sequence
14–15
12–13
2.1 – Angle sums
Know the sum of angles at a point, on a straight line and in a triangle
18–19
14–15
2.2 – Names of angles
Use angle measure; distinguish between and estimate the size of acute,
obtuse and reflex angles
20–21
16–17
2.3 – Measuring and drawing
angles
Use a ruler and protractor to measure and draw lines to the nearest
millimetre and angles, including reflex angles, to the nearest degree
22–23
18–19
2.4 – Drawing triangles 1
Use a ruler and protractor to construct a triangle given two sides and the
included angle (SAS)
24–25
20–21
2.5 – Parallel and
perpendicular lines
Identify and draw parallel and perpendicular lines
Recognise vertically opposite angles
26–27
22–23
2.6 – Angle calculations
Know the sum of angles at a point, on a straight line and in a triangle,
and recognise vertically opposite angles
Identify and use angle, side and symmetry properties of triangles; solve
problems using step-by-step deduction and explaining reasoning
28–29
24–25
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3 – Probability
4 – Fractions, decimals
and percentages
3.1 – Probability using words
Use the vocabulary of probability
Understand and use the probability scale from 0 to 1
32–33
26–27
3.2 – Probability using
numbers
Find and justify probabilities based on equally likely outcomes in simple
contexts
34–35
28–29
3.3 – Possible outcomes
Find and record all possible mutually exclusive outcomes for single
events and two successive events in a systematic way, using diagrams
and tables
36–37
30–31
38–39
32–33
3.4 – Tallies and frequency
tables
Collect data from a simple experiment and record in a frequency table
3.5 – Estimating probability
Estimate probabilities based on experimental data
40–41
34–35
3.6 – Comparing probability
Compare experimental and theoretical probabilities in simple contexts
42–43
36–37
4.1 – Equivalent fractions
Identify equivalent fractions
Simplify fractions by cancelling all common factors
46–47
38–39
4.2 – Fractions and decimals
Convert terminating decimals to fractions
Use division to convert a fraction to a decimal, with and without a
calculator
48–49
40–41
4.3 – Ordering fractions
Order fractions by writing them with a common denominator
Order fractions by converting them to decimals
50–51
42–43
4.4 – Adding and subtracting
fractions
Add and subtract fractions by writing them with a common denominator
52–53
44–45
4.5 – Fractions of amounts
Calculate fractions of quantities (including fraction answers)
Multiply an integer by a fraction
54–55
46–47
4.6 – Percentages
Understand percentage as the ‘number of parts per 100’
Calculate simple percentages of quantities
56–57
48–49
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5 – Equations and
formulae
5.1 – Simplifying algebraic
expressions
Understand that algebraic operations follow the same conventions and
order as arithmetic operations
Simplify algebraic expressions
60–61
50–51
5.2 – Expanding brackets
Multiply a single term over a bracket
Know and use the distributive law
Know how multiplication is represented in algebraic expressions
62–63
52–53
Substitute positive integers into simple linear expressions
Understand that algebraic operations follow the same conventions and
order as arithmetic operations
64–65
54–55
Solve linear equations with integer coefficients (unknown on one side)
using an appropriate method (e.g. inverse operations, transforming both
sides the same way)
66–67
56–57
5.5 – More solving equations
Construct and solve simple linear equations with integer coefficients
(unknown on one side) using appropriate methods
68–69
58–59
5.6 – Formulae
Use formulae from mathematics and other subjects
Substitute positive integers into simple formulae and find an unknown
subject
70–71
60–61
6.1 – Multiplying and dividing
by 10, 100, 1000
Multiply and divide integers and decimals by 10, 100 and 1000, and
explain the effect
74–75
62–63
6.2 – Scales and measures
Read and interpret scales on a range of measuring instruments
Solve problems in everyday contexts involving length, mass and time
76–77
64–65
6.3 – Area of rectangles
Know and use the formula for the area of a rectangle
78–79
66–67
6.4 – Perimeter and area
Calculate the perimeter and area of shapes made from rectangles
80–81
68–69
6.5 – Area of triangles
Deduce and use a formula for the area of a triangle
82–83
70–71
6.6 – Surface area
Calculate surface areas of cubes and cuboids
84–85
72–73
5.3 – Substitution
5.4 – Solving equations
6 – Measures, area and
perimeter
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7 – Functions and
graphs
8 – Numbers and
calculations
7.1 – Mappings
Express simple functions in symbols and words
Draw mapping diagrams of linear functions
88–89
74–75
7.2 – Identifying mappings
Identify functions from mapping diagrams
Know some of the properties of mapping diagrams
90–91
76–77
7.3 – Special graphs
Recognise that equations of the form y = c and x = c correspond to
straight-line graphs parallel to the x- and y- axes
92–93
78–79
7.4 – Graphs
Generate coordinate pairs and plot graphs of simple linear functions
using all four quadrants
Read other coordinate pairs from a drawn graph
Recognise that on graphs of the form y = mx + c, the values of the
coordinates of each point satisfy the equation
94–95
80–81
7.5 – The y-intercept
Plot graphs of linear functions using ICT
Recognise that graphs of the form y = mx + c intercept the y-axis at c
96–97
82–83
7.6 – Gradients
Begin to identify the role of m in equations of the form y = mx + c
Plot graphs of simple linear functions on paper and using ICT
98–99
84–85
8.1 – Converting between
metric units
Convert between one metric unit and another
102–103
86–87
8.2 – Ordering decimals
Order decimals by comparing digits
Order decimals by positioning them on a number line
104–105
88–89
8.3 – Rounding
Round positive numbers to any given power of 10
Round decimal numbers to the nearest whole number or to one or two
decimal places
106–107
90–91
Consolidate standard column procedures for addition and subtraction of
integers and decimals with up to 2 places
Make and justify estimates and approximations of calculations
108–109
92–93
Develop a standard procedure for multiplying 3-digit by 2-digit whole
numbers
Make and justify estimates and approximations of calculations
Check a result by considering whether it is of the right order of
magnitude
110–111
94–95
8.4 – Adding and subtracting
8.5 – Multiplying
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8.6 – More multiplying
9 – Transformations
Develop standard written methods for multiplying decimals with one or
two places by a single-digit whole numbers
Make and justify estimates and approximations of calculations
Check a result by considering whether it is of the right order of
magnitude
112–113
96–97
8.7 – Multiples
Recognise and use multiples
Find the lowest common multiple of two numbers
114–115
98–99
8.8 – Factors
Find all the pairs of factors of a number
Find the highest common factor of two numbers
116–117
100–101
8.9 – Prime numbers
Recognise prime numbers up to 100
118–119
102–103
9.1 – Reflection
Understand and use the language and notation associated with
reflections
Recognise and visualise the reflection of a 2-D shape in given mirror
lines
122–123
104–105
Understand and use the language and notation associated with
rotations
Recognise and visualise the rotation of a 2-D shape about a given point
124–125
106–107
9.3 – Reflection and rotation
symmetry
Recognise and explore reflection symmetry
Recognise and explore rotation symmetry
126–127
108–109
9.4 – Translation
Understand and use the language and notation associated with
translations
Recognise and visualise the translation of a 2-D shape
128–129
110–111
9.5 – Repeated
transformations
Transform 2-D shapes using repeated reflections, rotations and
translations, on paper and using ICT
130–131
112–113
9.6 – Drawing enlargements
Understand and use the language and notation associated with
enlargement
Enlarge 2-D shapes, given a centre of enlargement and a positive
whole-number scale factor
132–133
114–115
9.2 – Rotation
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10 – Solving equations
and using formulae
11 – Diagrams and
statistics
10.1 – Algebraic expressions
Derive simple algebraic expressions
10.2 – Why simplify?
136–137
116–117
Solve linear equations with integer coefficients (unknown on one side
only)
Simplify expressions by collecting like terms
138–139
118–119
10.3 – Solving equations
involving divisors
Solve linear equations of the forms x/a = b and ax/b = c, where a, b and
c are positive integers
140–141
120–121
10.4 – Using equations
Explore ways of constructing simple equations to express relationships
142–143
122–123
10.5 – Formulae in words
Use formulae from mathematics and other subjects
Substitute positive integers into simple formulae and find an unknown
subject
144–145
124–125
10.6 – Constructing formulae
Derive algebraic expressions and formulae
Substitute values into formulae and solve the resulting equations
146–147
126–127
11.1 – Two-way tables
Design and use simple two-way tables
150–151
128–129
11.2 – Averages
Calculate statistics from data, using ICT as appropriate
Find the mode, median and range of a small set of discrete data
Calculate the mean for a small set of discrete data
152–153
130–131
11.3 – Frequency tables and
calculating the mean
Calculate statistics, using ICT as appropriate
Calculate the mean from a frequency table
154–155
132–133
11.4 – Comparing two
distributions
Compare two distributions using the range and one or more of the
mode, median and mean
156–157
134–135
11.5 – Grouping data
Group data into equal class intervals
Find the modal class of grouped data
158–159
136–137
11.6 – Calculating statistics
Calculate statistics for small sets of discrete data
160–161
138–139
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12 – Squares, brackets
and calculations
12.1 – Squares and square
roots
Recognise square numbers and their corresponding square roots
Use a calculator, including the square root key, to find square roots,
rounding as appropriate
164–165
140–141
12.2 – Brackets
Know and use the order of operations, including brackets
Use the bracket keys on a calculator
166–167
142–143
12.3 – Division
Develop standard written methods to divide a 3-digit number by a 2-digit
number
Make and justify estimates and approximations of calculations
Check a result by considering whether it is of the right order of
magnitude
168–169
144–145
Develop standard written methods to divide decimals with 1 or 2 places
by a 1-digit number
Make and justify estimates and approximations of calculations
Check a result by considering whether it is of the right order of
magnitude
170–171
146–147
12.5 – Mental methods 1
Consolidate and extend mental methods of calculation
Use factors to simplify mental calculations
172–173
148–149
12.6 – Mental methods 2
Consolidate and extend mental methods of calculation
Use partitioning to simplify mental calculations
174–175
150–151
12.4 – Decimal division
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13 – Sequences and
graphs
13.1 – The general term
Generate sequences given the general term in the form an + c
13.2 – Exploring sequence
patterns
Generate linear sequences from practical contexts and find the general
term in simple cases
13.3 – Finding the general
term
Find the nth term of simple linear ascending sequences
13.4 – Spreadsheets
178–179
152–153
180–181
154–155
182–183
156–157
Use a spreadsheet to generate sequences
184–185
158–159
13.5 – Conversion graphs
Plot and interpret conversion graphs
186–187
160–161
13.6 – Drawing graphs
Construct linear functions arising from real-life problems and plot their
corresponding graphs
Read values from a graph
188–189
162–163
13.7 – Interpreting graphs
Discuss and interpret linear graphs arising from real-life situations
190–191
164–165
13.8 – Graphs in real life
Discuss and interpret non-linear graphs arising from real-life situations
192–193
166–167
14 – Ratio and proportion 14.1 – Proportion
and solving problems
Use direct proportion in simple contexts
196–197
168–169
Understand the idea of ratio and use ratio notation
Simplify a ratio to an equivalent ratio by cancelling
Understand the relationship between ratio and proportion
Use ratio and proportion to solve simple problems
198–199
170–171
14.3 – Ratio
Divide a quantity into two parts in a given ratio
200–201
172–173
14.4 – Solve it!
Identify the necessary information to solve a problem
202–203
174–175
14.5 – Multi-step problems
Break a complex calculation into simpler steps, choosing and using
appropriate and efficient operations and methods
204–205
176–177
14.6 – Which strategy?
Choose and use appropriate and efficient operations, methods and
resources
206–207
178–179
14.2 – Ratio and proportion
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15 – Exploring 2-D and
3-D shapes
15.1 – Drawing triangles 2
Use a ruler and protractor to construct a triangle given two sides and the
included angle (SAS) or two angles and the included side (ASA)
210–211
180–181
15.2 – Constructing triangles
Use a straight edge and compasses to construct a triangle, given three
sides (SSS)
212–213
182–183
15.3 – Shapes on coordinate
grids
Find coordinates of points determined by geometric information
214–215
184–185
15.4 – Mid-points
Given the coordinates of points A and B, find the mid-point of the line
segment AB
216–217
186–187
15.5 – Shapes and paths
Produce shapes and paths on paper and using ICT
218–219
188–189
15.6 – Visualising 3-D shapes Use 2-D representations to visualise 3-D shapes and deduce some of
their properties
Draw 2-D representations of 3-D shapes
220–221
190–191
15.7 – Constructing nets 1
Use ruler and protractor to construct simple nets of cuboids
222–223
192–193
15.8 – Constructing nets 2
Use ruler and protractor to construct simple nets of 3-D shapes, for
example regular tetrahedron, square-based pyramid, triangular prism
224–225
194–195
15.9 – Volume
Estimate volumes
Suggest volumes to be measured in cm³ and m³
Solve problems involving cuboids
226–227
196–197
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16 – Applying skills and
analysing data
16.1 – Planning an
investigation
Discuss a problem that can be addressed by statistical methods and
identify related questions to explore
Decide which data to collect to answer a question, and the degree of
accuracy needed; identify possible sources
Plan how to collect the data, including sample size
230–231
198–199
Decide which data to collect to answer a question, and the degree of
accuracy needed; identify possible sources
Collect the data using a suitable method such as observation, controlled
experiment using ICT, or questionnaire
232–233
200–201
16.3 – Displaying data
Construct, on paper and using ICT, graphs and diagrams to represent
data, including bar-line graphs and pie charts
234–235
202–203
16.4 – Line graphs
Draw and interpret line graphs
236–237
204–205
16.5 – More about pie charts
Construct, on paper and using ICT, pie charts for categorical data
238–239
206–207
16.6 – Drawing and
interpreting diagrams
Construct graphs and diagrams (including compound bar charts) to
represent data and identify key features
Identify which diagrams are most useful
240–241
208–209
242–243
210 – 211
16.2 – Collecting data
16.7 – Communicating results Interpret tables, graphs and diagrams
Write a short report of a statistical enquiry