middle making money farmers market maths

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Mathematical
Activity
New National Curriculum
References – Taken from MTP
To find out about a
farmers market –
analysing
questionnaire data,
including start and
finish times.
M25. to collect and structure information
using ICT so that it can be searched and
analysed, including using appropriate field
headings and data
M26. to use frequency diagrams and bar
charts to represent and record information
M27. to interpret their own and others' data
Block D and E Objectives Year 3
Block D and E objectives Year 4
Read the time on a 12–hour digital clock and to the nearest 5 minutes on an
analogue clock; calculate time intervals and find start or end times for a given time
interval
Solve one-step and two-step problems involving numbers, money or measures,
including time; choose and carry out appropriate calculations, using calculator
methods where appropriate
Follow a line of enquiry by deciding what information is important; make and use
lists, tables and graphs to organise and interpret the information
Read time to the nearest minute; use am, pm and 12-hour clock notation;
choose units of time to measure time intervals; calculate time intervals from
clocks and timetables
Solve one–step and two–step problems involving numbers, money or measures,
including time, choosing and carrying out appropriate calculations
Draw rectangles and measure and calculate their perimeters; find the area of
rectilinear shapes drawn on a square grid by counting squares
Use practical and informal written methods to multiply and divide two–digit
numbers (e.g. 13 × 3, 50 ÷4); round remainders up or down, depending on the
context
Recognise horizontal and vertical lines; use the eight compass points to
describe direction; describe and identify the position of a square on a grid of
squares
Read and record the vocabulary of position, direction and movement, using the
four compass directions to describe movement about a grid
Recognise the equivalence between decimal and fraction forms of one half,
quarters, tenths and hundredths
NC ELL 3 Num: use mathematics to justify
and support decisions and proposals,
communicating accurately using mathematical
language and conventions, symbols and
diagrams.
To plan their own
vegetable patch
mapping out where
they will plant certain
plants.
Research what people
want to spend their
money on. How can
they influence this.
Design a
questionnaire, collect
the data and analyse.
M10. to understand division as grouping and
as sharing and solve division problems using
multiplication facts
M16. to use standard units to estimate
measures and to measure with appropriate
accuracy
M21. to make simple scaling of objects and
draw
M23. to understand perimeter as a length and
to find the perimeter of rectangles and other
shapes.
M25. to collect and structure information
using ICT so that it can be searched and
analysed, including using appropriate field
headings and data
M26. to use frequency diagrams and bar
charts to represent and record information
M27. to interpret their own and others' data
NC ELL 3 Num: use mathematics to justify
and support decisions and proposals,
communicating accurately using mathematical
language and conventions, symbols and
diagrams.
Know the relationships between kilometres and metres, metres and centimetres,
kilograms and grams, litres and millilitres; choose and use appropriate units to
estimate, measure and record measurements
Represent the information in a puzzle or problem using numbers, images or
diagrams; use these to find a solution and present it in context, where appropriate
using £.p notation or units of measure
Follow a line of enquiry by deciding what information is important; make and use
lists, tables and graphs to organise and interpret the information
Designing and making
craft items – use of
measurements to
establish how much
raw materials they will
need as well as the
size of the finished
object.
Design and make
packaging to hold
their items – nets of
3D shapes. 2D shape –
faces.
Scale up a recipe and
make them.
M10. to understand division as grouping and
as sharing and solve division problems using
multiplication facts
M12. to use estimation to find approximate
answers to calculations, to record calculations
and check answers and methods
M16. to use standard units to estimate
measures and to measure with appropriate
accuracy
M23. to understand perimeter as a length and
to find the perimeter of rectangles and other
shapes.
M16. to use standard units to estimate
measures and to measure with appropriate
accuracy
M21. to make simple scaling of objects and
draw
M23. to understand perimeter as a length and
to find the perimeter of rectangles and other
shapes.
M6. to compare two numbers by finding the
difference between themselves
M16. to use standard units to estimate
measures and to measure with appropriate
accuracy
Use a set–square to draw right angles and to identify right angles in 2–D shapes;
compare angles with a right angle; recognise that a straight line is equivalent to
two right angles
Solve one-step and two-step problems involving numbers, money or measures,
including time; choose and carry out appropriate calculations, using calculator
methods where appropriate
Draw rectangles and measure and calculate their perimeters; find the area of
rectilinear shapes drawn on a square grid by counting squares
Represent the information in a puzzle or problem using numbers, images or
diagrams; use these to find a solution and present it in context, where appropriate
using £.p notation or units of measure
Solve one-step and two-step problems involving numbers, money or measures,
including time; choose and carry out appropriate calculations, using calculator
methods where appropriate
Add or subtract mentally combinations of one–digit and two–digit numbers
Develop and use written methods to record, support or explain addition and
subtraction of two–digit and three–digit numbers
Derive and recall multiplication facts up to 10 × 10, the corresponding division
facts and multiples of numbers to 10 up to the tenth multiple
Know the relationships between kilometres and metres, metres and centimetres,
kilograms and grams, litres and millilitres; choose and use appropriate units to
estimate, measure and record measurements
Use decimal notation for tenths and hundredths and partition decimals; relate
the notation to money and measurement; position one-place and two-place
decimals on a number line
Read, to the nearest division and half–division, scales that are numbered or
partially numbered; use the information to measure and draw to a suitable degree
of accuracy
Choose and use standard metric units and their abbreviations when estimating,
measuring and recording length, weight and capacity; know the meaning of
'kilo', 'centi' and 'milli' and, where appropriate, use decimal notation to record
measurements (e.g. 1.3 m or 0.6 kg)
Read and write proper fractions (e.g.3/7,9/10), interpreting the denominator as the
parts of a whole and the numerator as the number of parts; identify and estimate
fractions of shapes; use diagrams to compare fractions and establish equivalents
Find unit fractions of numbers and quantities (e.g. 1/2, 1/3, 1/4 and 1/6 of 12 litres)
Represent a puzzle or problem using number sentences, statements or
diagrams; use these to solve the problem; present and interpret the solution in
the context of the problem
Recognise the equivalence between decimal and fraction forms of one half,
quarters, tenths and hundredths
Find fractions of numbers, quantities or shapes (e.g. 1/5 of 30 plums, 3/8 of a 6
Pricing of items.
Working out the cost
to making the items
and then considering a
profit, percentage
mark up for HA.
M10. to understand division as grouping and
as sharing and solve division problems using
multiplication facts
M12. to use estimation to find approximate
answers to calculations, to record calculations
and check answers and methods
M14. how to handle amounts of money in the
contexts of shopping, saving up and enterprise
activities
Solve one–step and two–step problems involving numbers, money or measures,
including time, choosing and carrying out appropriate calculations
Add or subtract mentally combinations of one–digit and two–digit numbers
Use practical and informal written methods to multiply and divide two–digit
numbers (e.g. 13 × 3, 50 ÷4); round remainders up or down, depending on the
context
NC ELL 3 Num: use mathematics to justify
and support decisions and proposals,
communicating accurately using mathematical
language and conventions, symbols and
diagrams.
Make a scale model of
the farmers market
deciding where things
will be laid out.
Run their own stall
handling money.
Introduce concept of a
float and then what to
do at the end to work
out their takings.
Budget spreadsheet
calculating initial costs
and estimating their
future profits.
M6. to compare two numbers by finding the
difference between themselves
M16. to use standard units to estimate
measures and to measure with appropriate
accuracy
M21. to make simple scaling of objects and
draw
NC ELL 3 Num: use mathematics to justify
and support decisions and proposals,
communicating accurately using mathematical
language and conventions, symbols and
diagrams.
M6. to compare two numbers by finding the
difference between themselves
M9. to select from a range of mental
strategies for the addition and subtraction of
numbers with two significant figures
M14. how to handle amounts of money in the
contexts of shopping, saving up and enterprise
activities
M4. to approximate numbers, including
rounding , and understand when that can be
used.
M12. to use estimation to find approximate
answers to calculations, to record calculations
and check answers and methods
M14. how to handle amounts of money in the
by 4 rectangle)
Refine and use efficient written methods to add and subtract two-digit and
three-digit whole numbers and £.p
Add or subtract mentally combinations of one–digit and two–digit numbers
Know the relationships between kilometres and metres, metres and centimetres,
kilograms and grams, litres and millilitres; choose and use appropriate units to
estimate, measure and record measurements
Represent the information in a puzzle or problem using numbers, images or
diagrams; use these to find a solution and present it in context, where appropriate
using £.p notation or units of measure
Add or subtract mentally combinations of one–digit and two–digit numbers
Derive and recall all addition and subtraction facts for each number to 20, sums
and differences of multiples of 10 and number pairs that total 100 (end of year
objective)
Solve one–step and two–step problems involving numbers, money or measures,
including time, choosing and carrying out appropriate calculations
Develop and use written methods to record, support and explain multiplication
and division of two-digit numbers by a one-digit number, including division
with remainders (e.g. 15 × 9, 98 ÷ 6)
Use decimal notation for tenths and hundredths and partition decimals; relate the
notation to money and measurement; position one-place and two-place
decimals on a number line
Choose and use standard metric units and their abbreviations when estimating,
measuring and recording length, weight and capacity; know the meaning of
'kilo', 'centi' and 'milli' and, where appropriate, use decimal notation to record
measurements (e.g. 1.3 m or 0.6 kg)
Recognise the equivalence between decimal and fraction forms of one half,
quarters, tenths and hundredths
Solve one-step and two-step problems involving numbers, money or measures,
including time; choose and carry out appropriate calculations, using calculator
methods where appropriate.
Represent a puzzle or problem using number sentences, statements or
diagrams; use these to solve the problem; present and interpret the solution in
the context of the problem
Add or subtract mentally pairs of two-digit whole numbers (e.g. 47 + 58, 91 −
35)
Use decimal notation for tenths and hundredths and partition decimals; relate the
notation to money and measurement; position one-place and two-place
decimals on a number line
Solve one-step and two-step problems involving numbers, money or measures,
including time; choose and carry out appropriate calculations, using calculator
methods where appropriate
Represent the information in a puzzle or problem using numbers, images or
diagrams; use these to find a solution and present it in context, where appropriate
using £.p notation or units of measure
Refine and use efficient written methods to add and subtract two-digit and
three-digit whole numbers and £.p
Add or subtract mentally combinations of one–digit and two–digit numbers
Use decimal notation for tenths and hundredths and partition decimals; relate
contexts of shopping, saving up and enterprise
activities
NC ELL 3 Num: use mathematics to justify
and support decisions and proposals,
communicating accurately using mathematical
language and conventions, symbols and
diagrams.
the notation to money and measurement; position one-place and two-place
decimals on a number line
Represent a puzzle or problem using number sentences, statements or
diagrams; use these to solve the problem; present and interpret the solution in
the context of the problem
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