Mathematics 5 curriculum guide 2015 I table of contents acknowledgements

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MATHEMATICS 5 CURRICULUM GUIDE 2015
Specific Outcomes
NUMERATION
Suggestions for Teaching and Learning
Students will be expected to:
Number
Expanded form can be demonstrated in either of the following ways:
• 486 123 = (4 x 100 000) + (8 x 10 000) + (6 x 1 000) + (1 x 100) +
(2 x 10) + (3 x 1)
• 486 123 = 400 000 + 80 000 + 6 000 + 100 + 20 + 3
The first instance makes a smooth transition when it is used in 
conjunction with students’ experiences using base ten blocks or place 
value charts. It represents the concrete model with the exact number of 
each type of block or numbers of counters in each place value column.
Some students will be able to move quickly to the second version in 
which the combined value represented by each digit is expressed.
Students should be exposed to both forms and practice should include 
numbers which contain zeros, such as 50 302. 
Number cards, place value charts, dice, newspaper articles, etc. can be 
used to create and/or find large numbers which can be represented in 
expanded form.
5N1.5 Express a given numeral 
in expanded notation.
Achievement Indicators:
5N1.6 Write the numeral 
represented by a given expanded 
notation.
Write a large number in expanded form on the whiteboard. Have 
students write the number in standard form on individual whiteboards 
and hold up when completed. 
Expanded form should also be given in various orders such as
(4 x 10 000) + (3 x 100 000) + (2 x 100). This requires students to 
consider the place value represented by each term rather than just taking 
the beginning digit of each group in order to convert to standard form.
5N1 Continued...
What’s My Number?
Give students a series of clues about a specific number. Based on the 
clues, they should identify the number. For 10 912, for example, the 
clues could be:
• I have five digits.
• My ones digit is 2.
• I have four values, not five.
• My ten thousands digit and my tens digit are the same. They are each
half of my ones digit.
• The sum of my digits is 13.
• My hundreds digit is greater than 5.
What’s my number?

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