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Fractions, decimals, and visual data analysis. by Bobby Stecher mark.stecher@maconstate.edu. Renaming Fractions. Adding and Subtracting Fractions. Multiplying proper fractions. Multiplying whole numbers. 2 x 3 =. 6. Why?. 6. =. X . 1. 2. 3. 4. 5. 6.
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Fractions, decimals, and visual data analysis by Bobby Stecher mark.stecher@maconstate.edu
Multiplying whole numbers 2 x 3 = 6 Why? 6 = X 1 2 3 4 5 6
Multiplying a fraction and a whole number 1 1 7 x 3 = 2 2 =
Multiplying a mixed number and a whole number 2 2 x 4 6 1 = 3 3 =
Multiplying a mixed number and a whole number using rectangles 1 2 3 4 2 8 2 2 2 2 2 = = 4 + 4 x 4 + 6 3 3 3 3 3 3 3
Multiplying Decimals The horizontal and vertical lines are divided into tenths. The grid has 10 x 10 = 100 squares.
Dividing Fractions The common denominator of 4 and 6 is 12. So divide the divisor bar into 12ths . The yellow ¼ bar goes into the purple 7/6 bar 4 times and 2/3 of another.
Links Fraction Rectangle model from Visual Fractions http://www.visualfractions.com/MultStrict.html National Library of Virtual Manipulatives Utah State University http://nlvm.usu.edu/ http://nlvm.usu.edu/en/nav/frames_asid_194_g_2_t_1.html http://enlvm.usu.edu/ma/nav/activity.jsp?sid=nlvm&cid=2_1&lid=265
References • http://www.visualfractions.com/MultStrict.html • http://doe.k12.ga.us • Utah State University, National Library of Virtual Manipulatives.
Ideas for Lesson Plans for Data Analysis • Use small bags of M&M’s or small boxes of raisins. Estimate the number in each container. Calculate the mean, median, and range. • Keep a chronological track of individual heights, or average high and low temperature.