Number and Algebra

Organizing Idea Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating.

Guiding Question How can place value support organization of number?

Learning Outcome Students interpret place value within 100 000.

Knowledge

For numbers in base-10, each place has 10 times the value of the place to its right.

The digits 0 to 9 indicate the number of groups in each place in a number.

The value of each place in a number is the product of the digit and its place value.

Numbers can be composed in various ways using place value.

Numbers can be rounded in contexts where an exact count is not needed.

The less than sign, <, and the greater than sign, >, are used to show the relationship between two unequal numbers.

A zero in the leftmost place of a natural number does not change the value of the number.

The dollar sign, $, is placed to the left of the dollar value in English and to the right of the dollar value in French.

The cent sign, ¢, is placed to the right of the cent value in English and in French.

Understanding

Place value is the basis for the base-10 system.

Place value determines the value of a digit based on its place in a number relative to the ones place.

Place value is used to read, write, and compare numbers.

Skills & Procedures

Identify the place value of each digit in a natural number. Relate the values of adjacent places.

Determine the value of each digit in a natural number. Express natural numbers using words and numerals.

Express various compositions of a natural number using place value. Round natural numbers to various places.

Compare and order natural numbers.

Express the relationship between two numbers using <, >, or =.

Count and represent the value of a collection of nickels, dimes, and quarters as cents.

Count and represent the value of a collection of loonies, toonies, and bills as dollars.

Recognize French and English symbolic representations of monetary values.