Grade 5 - Number (Number Concepts)

The sub-organizer contains the following sections:
Prescribed Learning Outcomes
Suggested Instructional Strategies
Suggested Assessment Strategies
Recommended Learning Resources

PRESCRIBED LEARNING OUTCOMES

It is expected that students will demonstrate a number sense for whole numbers, from 0 to 100 000, and will explore proper fractions and decimal fractions.

It is expected that students will:

demonstrate concretely and pictorially an understanding of place value from hundredths
read and write numerals to a million
read and write number words to 100 000
use estimation strategies for quantities up to 100 000
recognize, model, and describe multiples, factors, composites, and primes
compare and/or order whole numbers
represent and describe proper fractions concretely, pictorially, and symbolically
demonstrate and describe equivalent fractions
compare and order proper and decimal fractions to hundredths

To view the prescribed learning outcomes for Number (Number Concepts) in other grades click on an icon below.

SUGGESTED INSTRUCTIONAL STRATEGIES

Students who have a number sense generally use numbers flexibly and choose the most appropriate representation of a number for a given circumstance. Present a variety of puzzling and problem situations so that students can further investigate numbers and their relationships.

Have each student hold a metric measuring tape or metre-stick. Discuss the relationship between a centimetre and a metre. Ask students to represent and locate various decimal number values on their tapes.
Have students play Digit Roll in groups of four. The object is to write the greater number. Each player has five boxes. Taking turns, each player places a digit determined by the roll of a die into one of the five boxes. When each of the boxes has a digit, players read the numbers and decide who has the largest number. The winner rolls the die.
Give students a pile of stones, straws, or sticks. Working with piles containing from 1 to 30 items, they must find out which size of pile can and cannot be sorted into several equal piles.

SUGGESTED ASSESSMENT STRATEGIES

Students demonstrate the extent of their number sense in almost every mathematical activity. As they learn new ideas or solve new problems, students enrich their thought processes and skills by building on previously developed ideas. Opportunities to explain and defend their ideas about numbers can deepen their understanding.

Observe

Ask students to locate the position for a given decimal number on a measuring tape. Note the accuracy and efficiency of their responses. Invite them to explain their choices.
Listen to students as they play Digit Roll. Use a checklist to note who is able to read numbers and create the largest values.
Starting with a number such as 1.85, have students count up by 0.01s to 2.00. Listen for the correct change of place value from 1.89 to 1.90.

Collect

Have students compare their estimates by exchanging their work with partners. Ask them to write journal entries about the processes they used and to give rationales for the strategies they used.