Mathematics 7 Fractions, Decimals and percents
Specific Curriculum Outcomes
N04 Students will be expected to demonstrate an understanding of the relationship between positive terminating decimals and positive fractions and between positive repeating decimals (with one or two repeating digits) and positive fractions.
N07 Students will be expected to compare, order, and position positive fractions, positive decimals (to thousandths), and whole numbers by using benchmarks, place value, and equivalent fractions and/or decimals.
N02 Students will be expected to demonstrate an understanding of the addition, subtraction, multiplication and division of decimals to solve problems (for more than onedigit divisors or more than twodigit multipliers, the use of technology is expected).
N03 Students will be expected to solve problems involving percents from 1% to 100% (limited to whole numbers).
N04 Students will be expected to demonstrate an understanding of the relationship between positive terminating decimals and positive fractions and between positive repeating decimals (with one or two repeating digits) and positive fractions.
N07 Students will be expected to compare, order, and position positive fractions, positive decimals (to thousandths), and whole numbers by using benchmarks, place value, and equivalent fractions and/or decimals.
N02 Students will be expected to demonstrate an understanding of the addition, subtraction, multiplication and division of decimals to solve problems (for more than onedigit divisors or more than twodigit multipliers, the use of technology is expected).
N03 Students will be expected to solve problems involving percents from 1% to 100% (limited to whole numbers).
activities

 Decimal Time from Nrich Maths  Can you convert time on a digital clock to decimal time? In decimal time, there are 10 hours in a day and 100 minutes in each hour (instead of 24 hours in a day and 60 minutes in each hour).
 The Pattern of Ninths when Converted to Decimals from Adrianne Burns  Students investigate the pattern that ninths make when converted to decimals. This leads to a debate... is 9/9 or 1 equivalent to 0.9 repeating? Get your students to pick a side and try to convince the rest of the class with mathematical reasoning.
 Martha's Multiplication Error from Illustrative Mathematics  Marta made an error while finding the product 84.15×10. She said the answer was 84.150 (because when you multiply by 10, you put a zero on the end of the number). Can you help explain to here why that is wrong.

 Gassed 3Act Task from Graham Fletcher  Use decimal multiplication to determine how much it will cost to fill up the gas tank of Graham's Toyota Prius.
 Too Big or Too Small? from NCTM Illuminations  A series of 3 different decimal based activities.



 Which One Doesn't Belong? from wodb.ca  Find a reason why each item does not belong with the rest of the group. A great strategy for promoting classroom discussion.
 Clothesline Math from The Maths Project Journal and Clothesline from Andrew Stadel  One of the greatest tools for teaching number sense is the number line. The clothesline is a dynamic manipulatible number line that makes the facilitation of class discourse on number sense efficient and effective. “Benchmark” numbers may be adjusted when needed, as well as the values that are placed on the line. These two websites give some great ideas on how you could use this to order positive fractions and decimals and record student work.
 Multiplying Decimals Given One from Open Middle  X.X is multiplied by 3.2 to get X.X. What numbers could you use to create this equation?



 Translating between Fractions, Decimals and Percents from Mathematics Assessment Resource Service A lesson unit intended to help students to: Compare, convert between and order fractions, decimals, and percents; Use area and linear models of fractions, decimals, and percents to understand equivalence.
 Matching Fractions Decimals Percentages from NRich  This online game or printable cards can be played to reinforce the recognition of equivalent fractions, decimals and percentages.
 Nearest To Decimal from Don Steward  A nice warmup question for decimals and place value.