NUMERACY FACILITATOR NEWSLETTER Number Sense Term 2 Junior GUIDES TO EFFECTIVE INSTRUCTION www.eworkshop.on.ca FRACTIONS http://www.eworkshop.on.ca/edu/resources/guides/N SN_vol_5_Fractions.pdf Pages 11-23 are key pages to increase your own content knowledge related to fraction concepts in the junior grades, and to provide instructional strategies that help students develop an understanding of fractions. Teachers can facilitate this understanding by helping students to: • model fractions as parts of a whole; • count fractional parts beyond one whole; • relate fraction symbols to their meanings; • relate fractions to division; • establish part-whole relationships; • relate fractions to the benchmarks of 0, 1/2, and 1; • compare and order fractions; • determine equivalent fractions. DECIMALS http://www.eworkshop.on.ca/edu/resources/guides/N SN_vol_6_Decimal_Numbers.pdf Pages 11-23 *are key A Summary of General Instructional Strategies this term: Students in the junior grades benefit from: • representing decimal numbers using a variety of models, and explaining the relationship between the decimal parts and the whole; • discussing and demonstrating base ten relationships in whole numbers and decimal numbers (e.g., 10 ones make ten, 10 tenths make one, 10 hundredths make a tenth); • using models to relate fractions and decimal numbers (e.g., using fraction strips to show that 2/10 = 0.2); • comparing and ordering decimal numbers using models, number lines, and reasoning strategies; Learning Activities from the Guides are referenced and itemized in the LKDSB Numeracy Framework unit plans. FRACTIONS AND DECIMALS NUMERACY MODULES: There are two Numeracy Modules on e-workshop for this strand which include videos, graphics, links, three part lessons and blackline templates worth checking out. They are sub-titled Decimal Numbers , and Fractions . Marian Small in Making Math Meaningful, 2009 p.195; Fractions can represent parts of wholes, parts of sets, parts of measures and division. A fraction is not as meaningful without knowing what the whole is. Renaming fractions is often the key to comparing them Number Sense Manipulatives Linking cubes, colour tiles, geoboards, centicubes, Cuisenaire rods, base ten materials, fraction circles, decimal squares, money, place value mats, pattern blocks, counters, fraction bars, number lines, playing cards, tangrams. WEBSITES: The National Library of Virtual Manipulatives http://nlvm.usu.edu/ has many virtual manipulatives for fractions. CLIPS on Edugains http://oame.on.ca/CLIPS/ An excellent video resource for Exploring Fractional Part/Whole relationships for grades 4 to 6. QUESTIONING BIG IDEAS K-12; PROPORTIONAL REASONING. This is a document filled with a continuum of ideas and strategies throughout the grades. http://www.edugains.ca/resources/LearningMaterials/ ContinuumConnection/BigIdeasQuestioning_Proportion alReasoning.pdf Marian Small posts her presentations on-line. Her recent presentation on proportional reasoning is available in English and French http://www.onetwoinfinity.ca/presentations/EQAOPJ.p df English http://www.onetwoinfinity.ca/presentations/Proportio nal%20Reasoning_Marian%20Small_Fr.pdf French Create an animation to demonstrate the concept of fractions and how fractions are written in mathematical terms. Use FRAMES 4 http://creativeeducator.tech4learning.com/Uploads/pd fs/Lessons/Clay_Fractions.pdf