Embedded Files
Decimal Reasoning and Operations
Curriculum Expectations
Curriculum Expectations
B1.3 compare and order integers, decimal numbers, and fractions, separately and in combination, in various contexts
B1.4 read, represent, compare, and order decimal numbers up to thousandths, in various contexts
B1.5 round decimal numbers, both terminating and repeating, to the nearest tenth, hundredth, or whole number, as applicable, in various contexts
B1.6 describe relationships and show equivalences among fractions and decimal numbers up to thousandths, using appropriate tools and drawings, in various contexts
B2.3 use mental math strategies to calculate percents of whole numbers, including 1%, 5%, 10%, 15%, 25%, and 50%, and explain the strategies used
B2.4 represent and solve problems involving the addition and subtraction of whole numbers and decimal numbers, using estimation and algorithms
B2.7 represent and solve problems involving the multiplication of three-digit whole numbers by decimal tenths, using algorithms
B2.8 represent and solve problems involving the division of three-digit whole numbers by decimal tenths, using appropriate tools, strategies, and algorithms, and expressing remainders as appropriate
B2.11 represent and solve problems involving the division of decimal numbers up to thousandths by whole numbers up to 10, using appropriate tools and strategies
Watch this video to learn how to administer & assess an Entry Check-In.
Watch this video to learn how to administer & assess an Entry Check-In.
Watch this video to learn how to effectively use the Tracking Sheet & access the Problem Sets.
Watch this video to learn how to effectively use the Tracking Sheet & access the Problem Sets.
Things to Note
Things to Note
🖇 Encourage connections between math concepts by:
connecting forward and backward counting patterns
taking time to name the movement between place value columns as multiplication and division by factors of 10
making proportional number relationships explicit (e.g. 4 000 is half of 8000, 0.3 is one-tenth of 3) by using a variety of concrete representations
integrating decimals and fractions with whole numbers and place value to help students work with them in familiar ways (like they have with whole numbers for years)
Refer to the Ontario Ministry of Education's "Strategies for Mental Math" document for more information on strategies and models.
Important Tools and Representations
Important Tools and Representations
Concrete Learning Resources Tools:
money
base ten blocks
place value charts
hundredths and tenths grids
number line
whiteboards
relational rods (Cuisenaire rods)
clocks and calendars
Virtual Learning Resources and Tools:
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