Multiplication Of Whole Numbers, Decimals, Squares And Square Roots Worksheet With Answers Page 17
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41Unit 17
Estimation
Objectives
By the end of this unit, each pupil should be able to:
•
Make an estimation of a sum or product of numbers.
Suggested resources
For most pupils this will be enough help, but some
pupils may want to write the relevant tens digits
Charts on estimates; A wall chart showing a straight
in the boxes for each question. They could write
line as below:
lightly in pencil, rubbing it out when they have
finished. Alternatively, you could laminate the
33
33.5
34
number line so that pupils can write on it with dry
wipe markers.
Key word definitions
Some pupils may find it difficult to remember
estimation: a rough calculation
and apply the rounding rules, and may adopt the
accuracy: how correct it is
strategy of rounding every number down or every
number up. These pupils might find it useful
Frequently asked questions
to circle the units’ digit in each number, using
Q What prior knowledge do the pupils need?
different coloured pencils, for example a green
A Pupils should:
pencil for the digits that are less than 5 and a red
•
be able to compare pairs of whole numbers
pencil for the digits that are 5 or more. This should
with up to three digits, saying which is the
help them to focus on the units’ digit when they
greater or lesser
decide whether to round up or down.
•
have a sound understanding of place value as
it relates to whole numbers up to ten thousand
Pupils tend to discard the last digit when working
and decimals with up to two decimal places
to the nearest 10 and write the remaining digit(s)
•
know how to order whole numbers to 1 000
without replacing the removed one with zero.
•
recognise multiples of ten
Remind pupils to write the zero.
•
count forwards and backwards in 10s and 100s
•
add and subtract numbers
Pupils may find the estimate of only one of the
•
find product of numbers
pairs of numbers to multiply. It should be stressed
•
add and subtract decimal numbers.
that the estimates of the two numbers need to be
found to get a good approximation of the actual
Common errors that pupils make
product.
Pupils round numbers down when they should
Evaluation guide
round up and vice versa. Give pupils a visual aid in
the form of a colour-coded number line, as shown
Pupils to:
in the figure below.
1. Estimate the sum and product of numbers,
height, lengths and widths within and outside
the school.
2. Carry out estimates involving sums and
products of numbers.
72
Unit 17: Estimation
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