Download y56 maths autumn1

Measurement
Number – addition and subtraction
Number – number and place value
First half Autumn term planning – Year 5 and 6 2015
Number: addition, subtraction and place value.
Measures: conversion of measurements
Year 5 objectives
Year 6 objectives.
 read, write, order and compare numbers to at least  read, write, order and compare numbers to at least
1 000 000 and determine the value of each digit
10 000 000 and determine the value of each digit.
Activity A
 count forwards or backwards in steps of powers of
10 for any given number up to 1 000 000
 Use negative numbers in context and calculate
intervals across zero. Activity B
 interpret negative numbers in context, count
forwards and backwards with positive and
negative whole numbers including through zero
 Round any whole number to required degree of
Activity B
accuracy. Activity C
 round any number up to 1 000 000 to the nearest
 solve number problems and practical problems that
10, 100, 1000, 10 000 and 100 000
involve all of the above
 solve number problems and practical problems that
involve all of the above
 read Roman numerals to 1000 (M) and recognise
years written in Roman numerals.
 add and subtract numbers mentally with
 Use knowledge of order of operations to carry out
increasingly large numbers
calculations involving all four operations (including
use of brackets). BODMAS
 solve addition and subtraction multi-step problems
in contexts, deciding which operations and
 Perform mental calculations including with mixed
methods to use and why.
operations and large numbers.
 add and subtract whole numbers with more than 4  solve multi-step problems in contexts, deciding
digits, including using formal written methods
which operations and methods to use and why.
(columnar addition and subtraction) Activity D
(Using all four operations). Activity D
 use rounding to check answers to calculations and
 Use estimation to check answers to calculations and
determine, in the context of a problem, levels of
determine in the context of a problem; levels of
accuracy
accuracy.
 Use simple formula Activity E,F,G
 Express missing number problems algebraically
 Generate and describe linear number sequences
use, read, write and convert between standard units,
convert between different units of metric measure
converting measurements of length, mass, volume
(e.g. kilometre and metre; metre and centimetre;
and time from a smaller unit of measure to a larger
centimetre and millimetre; gram and kilogram; litre
unit, and vice versa, using decimal notation to up to
and millimitre) Activity I
three decimal places. Activity I
 understand and use approximate
 convert between miles and kilometres
equivalences between metric units and
common imperial units such as inches, pounds
and pints
Reasoning Nrich
Reasoning: Identifying Opportunties (Article)
http://nrich.maths.org/10990
Which scripts
http://nrich.maths.org/774
NCETM: Making Connections https://www.ncetm.org.uk/resources/42497 advice for teaching addition, subtraction,
multiplication and division.
https://www.ncetm.org.uk/resources/42612
Resources and manipulatives.
Thermometer’s, Place value grids, base 10 materials, number fans, dice with positive and negative numbers, tokens
and dienes, dominoes, digit cards, raffle tickets, rulers, scales and measuring jugs
Pedagogies.
What’s the same? What’s different?
What do you notice?
Can you explain?
Would it work with?
Possible activities and possible problem solving /reasoning.
Activity A
You could give the children a table showing the basic Roman numerals follow a pattern:
Units
I
II
III
IV
V
VI
VII
VIII
IX
Tens
X
XX
XXX
XL
L
LX
LXX
LXXX
XC
Hundreds
C
CC
CCC
CD
D
DC
DCC
DCCC
CM
Thousands
M
MM
MMM
IV
V
VII
VII
VIII
IX
Ask the children to use the table to make up different 4 digit Roman numbers for example 2365 or the year they
were born or the year we are in now.
You could write some of these on the board and ask the children to convert them to ‘our’ numbers for example
MCDLXIV.
Activity B
Playing connect three nrich: This problem offers students a chance to analyse a game which involves adding and
subtracting positive and negative numbers, and requires them to work out the probability of the different possible
outcomes. Teachers could explain that by knowing about the mathematics behind a game we can sometimes
determine a winning strategy (or more realistically, a strategy that improves our chances of winning).
Activity C
Reasoned rounding nrich: The game offers a competitive context which provides pupils with lots of practice in
rounding numbers to the nearest "..." and helps develop their reasoning by encouraging them to talk about their
strategies for winning points whilst playing.
Activity D
Weekly Problem 2 – 2010 Nrich: This problem offers a chance to practice number operations, use symbols for
numbers and make generalisations.
Activity E
This pack of lesson materials (10 lessons for Y6 and 6 for Y7) was designed to support better continuity and
progression in the learning and teaching of algebra between primary and secondary schools. The year 6 lessons
contain the following themes: using function machines, notation and recording, generalising the results of an
investigation and writing instructions using letters.
Activity F: Sticky Triangles
A puzzle in which match sticks are used to make a different number of triangles. An opportunity to generalise and
symbolise.
Activity G: This Pied Piper of Hamlyn
The ‘Pied Piper of Hamelin’ is a story you may have heard or read. This man, who is often dressed in very bright
colours, drives the many rats out of town by his pipe playing - and the children follow his tune.
The challenge is to investigate how many children/rats there could be if the number of legs was 600.
Follow this link for a wealth of other NRICH activities where the focus is on finding all possibilities
Activity I - Converting between metric units
A useful jigsaw-style activity, where the children use their knowledge of conversion of different units of measure to match
pieces together.
Assessment and independent application.
Exemplar materials from Nctem website
Past SAT questions
Mental maths tests