## Decimals
3/31/2015
Unit Name: DecimalsCommon Core State Standards:4.NF.6 Use decimal notation for fractions with denominators 10 or 100 (e.g. 62/100 as .62).4.NF.7 Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole.Essential Vocabulary:· · Reason · Denominator · Numerator · Decomposing Decimal · Fraction · Unit fraction · Equivalent · Partition Unit Overview:In this unit, students will apply their understanding of fractions to help them understand decimal equivalence. Decimals are introduced for the first time in 4th grade. Students will make connections between fractions with the denominators of 10 and 100 within the place value chart. Students will use reading decimals aloud to help them understand the fractional equivalence as well. In addition, students will use their reasoning skills to compare decimals from the same whole. Strategies/Skills:Students will build on their understanding of fractions from 3rd grade to make sense of decimals when comparing their equivalency. They are expected to use a variety of models to support their reasoning about numbers. · Fraction bars and circles · Place value chart · Number line · Grid models · Ruler/meter stick Video Support:Video support can be found on LearnZillion. · http://learnzillion.com o Convert decimals to fractions to the tenths place using number line https://learnzillion.com/student/lessons/1424-convert-decimals-to-fractions-to-the-tenths-place-using-number-lines o Convert decimals to fractions to the hundredths place using visual aids https://learnzillion.com/student/lessons/1425-convert-decimals-to-fractions-to-the-hundredths-place-using-visual-aids o Convert fractions to decimals to the tenths place using visual aids and division https://learnzillion.com/student/lessons/1426-convert-fractions-to-decimals-to-the-tenths-place-using-visual-aids-and-division o Convert fractions to decimals to the hundredths place using division https://learnzillion.com/student/lessons/1427-convert-fractions-to-decimals-to-the-hundredths-place-using-division o Compare two decimals to the hundredths place using fraction models https://learnzillion.com/student/lessons/3217-compare-two-decimals-to-the-hundredths-place-using-fraction-models o Compare two decimal dollar amounts using coin values https://learnzillion.com/student/lessons/3158-compare-two-decimal-dollar-amounts-using-coin-values o Compare two decimals to the hundredths place using a number line https://learnzillion.com/student/lessons/3354-compare-two-decimals-to-the-hundredths-place-using-a-number-line o Compare two decimal lengths using a ruler https://learnzillion.com/student/lessons/3385-compare-two-decimal-lengths-using-a-ruler
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## Multiplying Fractions by Whole Numbers
3/16/2015
Unit Name: Multiplying Fractions by Whole NumbersCommon Core State Standards:4.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.a. Understand a fraction a/b as a multiple of 1/b. b. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number.c. Solve word problems involving multiplication of fraction by a whole number, e.g., by using visual models and equations to represent the problem.Essential Vocabulary:· · Reason · Denominator · Numerator · Decomposing · Whole number Operations · Fraction · Unit fraction · Multiple/multiply · Equivalent · factor Unit Overview:In this unit, students will apply their understanding of adding fractions and extend their understanding by multiplying fractions. Just as students see repeated addition as multiplication students will develop understanding that all fractions are made up of repeated unit fractions (7/5 = 1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5 or 7/5 = 7 x 1/5). Students are expected to use and create visual fraction models to multiply fractions by whole numbers. Strategies/Skills:Students will build on their understanding of fractions from 3rd grade to make sense of larger fractions when adding, subtracting and equivalence. They are expected to use a variety of models to support their reasoning about numbers. · Area model · Number line · Collection/set models Video Support:Video support can be found on The WCPSS Academics YouTube Channel. · http://tinyurl.com/WCPSSAcademicsYouTube o Multiply Fraction by Whole Number 1 o Multiply Fraction by Whole Number 2 Video support can be found on LearnZillion. · http://learnzillion.com o Multiply fractions by whole numbers: using repeated addition https://learnzillion.com/student/lessons/122-multiply-fractions-by-whole-numbers-using-repeated-addition o Multiply fractions by whole numbers: using models https://learnzillion.com/student/lessons/126-multiply-fractions-by-whole-numbers-using-models o Represent a fraction as the sum of unit fractions using number line https://learnzillion.com/student/lessons/2971-represent-a-fraction-as-the-sum-of-unit-fractions-using-number-line o Represent a fraction as the sum of the unit fraction using area model https://learnzillion.com/student/lessons/3026-represent-a-fraction-as-the-sum-of-unit-fractions-using-an-area-model o Estimate products in multiplication of whole numbers and fractions https://learnzillion.com/student/lessons/2927-estimate-products-in-multiplication-of-whole-numbers-and-fractions o Use a number line for multiplication of fractions and whole numbers https://learnzillion.com/student/lessons/2938-use-a-number-line-for-multiplication-of-fractions-and-whole-numbers o Use a fraction model for multiplication of fractions and whole numbers https://learnzillion.com/student/lessons/2939-use-a-fraction-model-for-multiplication-of-fractions-and-whole-numbers o Use repeated addition for multiplication of fractions and whole numbers https://learnzillion.com/student/lessons/3076-use-repeated-addition-for-multiplication-of-fractions-and-whole-numbers |
## Mrs. Ana RhyneI teach 4th grade math and science at Weatherstone Elementary School. I graduated from Meredith College with a BA in Spanish and K-6 licensure. ## Archives
May 2016
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