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MATHEMATICS 5 CURRICULUM GUIDE 2015
Specific Outcomes
NUMERATION
Suggestions for Teaching and Learning
Students will be expected to:
Number
5N1 Represent and describe
whole numbers to 1 000 000.
[C, CN, V, T]
In Grade 4, students represented, described, compared and ordered
numbers to 10 000. In Grade 5, this will be extended to develop place
value concepts for numbers to 1 000 000.
The focus is on numbers
in the tens and hundreds of thousands. However, students are also
expected to develop meaning for “one million”.
As students model numbers, they should also write them in standard
form. The modelling should help them see that, in standard form,
numbers are written in groups of three digits (periods).
Achievement Indicators:
5N1.1 Write a given numeral,
using proper spacing without
commas.
To effectively read large numbers (i.e., numbers at and above tens of
thousands), periods must be separated with a space. It is no longer the
convention to separate periods with commas. A four-digit number can
5N1.2 Write a given numeral to
1 000 000 in words.
correctly be written with or without a space separating the thousands
place from the hundreds place. To emphasize the patterns and periodic
nature
of place value, this document will employ the use of the space for
all four-digit numbers. This is consistent with the practice implemented
in Grade 4.
Students should represent, in words, numbers which they see or hear.
They could practice using meaningful contexts, such as cheque writing,
population,
event attendance, dates (years), and large numbers quoted in
newspapers or sources such as the
Guinness Book of World Records
TM
.
Reading and writing numbers in words requires students to consider the
place value of each digit and solidifies the importance of the periodic
structure. Students have experience in writing numbers to 10 000 in
words; writing numbers to 1 000 000 is a natural extension. To write
946 219
using words, for example, students should recognize that they
start with the largest period and continue with the successive periods.
When reading whole numbers, students read
the number of hundreds,
tens and ones in the period furthest to the left (nine hundred forty-
six) and then the name of the period (thousands). This is followed
by the number of hundreds, tens and ones in the next period (two
hundred nineteen). Remind students that since the ones period is the
most common, its name is considered implicit and not usually named
aloud. Therefore, 946 219 is correctly named as nine hundred forty-six
thousand two hundred nineteen.
Teachers should model reading whole numbers to remind students that
the word “and” is not used. The word “and” is reserved for use with
fractional or decimal numbers.