## Problem Solving with Operations
11/23/2015
Unit Name: Problem Solving with Operations4.NBT.6 Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations.4.OA.3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.Essential Vocabulary:• multiplicative comparisons • multiplication/multiply • division/divide • equation • unknown • remainders • reasonableness • situation equation • solution equation Unit Overview:In this unit, students will apply their understanding of place value to help them explore multiple groups or multiplication and division. Students will utilize their knowledge of base ten and groups of numbers within another number to help them solve for multi-digit multiplication. Students will use their knowledge from previous units with multiplication and division to help them solve larger multi-step problems. Students will need to use various properties of operations to help them solve problems. Strategies/Skills:Students will build on their understanding of addition and subtraction by using place value strategies to make sense of the standard algorithms. They are expected to use a variety of models to support their reasoning about numbers. • Rectangular Section • Area models • Situation Equation • Solution Equation • Subtotals Method • Base Ten Blocks • Expanded Notation Video Support:ES 4 Math Add and Subtract with Show Subtotals Method https://www.youtube.com/watch?v=sWXsaia-Nd4&list=PLNDkuWRw1gGRpuFSgmHjf07KamFfjq8Gz&index=2 ES 4 Math Whole Number Multiplication w/ Base Tenhttps://www.youtube.com/watch?v=c6MRuNTwZi8&list=PLNDkuWRw1gGRpuFSgmHjf07KamFfjq8Gz&index=5 ES 4 Math Whole Number Multiplication w/ Area Modelshttps://www.youtube.com/watch?v=3TJ9KdEhUbU&list=PLNDkuWRw1gGRpuFSgmHjf07KamFfjq8Gz&index=6 ES 4 Math Whole Number Multiplication w/ Expanded Notationhttps://www.youtube.com/watch?v=-8PK7vsIF2Q&list=PLNDkuWRw1gGRpuFSgmHjf07KamFfjq8Gz&index=32 ES 4 Math Division with Base Ten Blockshttps://www.youtube.com/watch?v=iSqYnWqSDPo&list=PLNDkuWRw1gGRpuFSgmHjf07KamFfjq8Gz&index=3 ES 4 Math Division with Area Modelhttps://www.youtube.com/watch?v=uF1KOA_AIfs&list=PLNDkuWRw1gGRpuFSgmHjf07KamFfjq8Gz&index=1 ES 4 Math Division with Area Models Video 2https://www.youtube.com/watch?v=4y8Dpw9SUbU&list=PLNDkuWRw1gGRpuFSgmHjf07KamFfjq8Gz&index=31 ES 4 Math Division with Expanded Notationhttps://www.youtube.com/watch?v=6F83P_20dU8&list=PLNDkuWRw1gGRpuFSgmHjf07KamFfjq8Gz&index=4
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## Earth Materials Unit
11/10/2015
Our class is beginning a new science unit using the FOSS Earth Materials Module. We will investigate a selection of the most common rocks and minerals that make up Earth’s crust, and learn some techniques used by geologists to identify them. Geology requires analysis. To develop analytical skills and techniques, we will first take apart a simulated rock called a Mock Rock. We will observe them, break them apart, dissolve them in water, and evaporate the liquid to discover the ingredients from which our rocks are made. We will then move on to real rocks and minerals, using scratch tools and acid (vinegar) to test for specific minerals. Finally we will look at granite, the base rock from which continents are made, and analyze it to discover the minerals it contains. You can increase your child’s understanding and interest in earth materials by asking him or her to talk about the investigations we are doing at school. Rocks, which appear so commonplace, may become objects that inspire questions and promote close observation. You and your child may want to start a rock collection, or visit the library or (if possible) a rock and mineral display to expand your rock and mineral knowledge. A visit to a landscape materials center or a jewelry store (gems are minerals) can expose the broad range of uses for earth materials. We’re looking forward to weeks of fun with rocks and minerals! If you have questions or comments, or have expertise you would like to share with the class, please drop me a note.
## Multiplicative Comparisons
11/10/2015
Unit Name: Multiplicative ComparisonsCommon Core State Standards: 4.OA.1 Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations. 4.OA.2 Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.Essential Vocabulary:• multiplicative comparisons • multiplication/multiply • division/divide • addition/add • subtraction/subtract • compare/comparison • equation • unknown • remainders • reasonableness • mental computation • estimation • rounding Unit Overview:In this unit, students will apply their understanding of place value to help them explore multiple groups or division. Students will utilize their knowledge of base ten and groups of numbers within another number to help them compare quantities or numbers. Students will be asked to not only identify, but will need to verbalize which quantity is being multiplied and which quantity tells how many times it is multiplied. Students will need to illustrate comparative situations with various strategies listed below. In addition,students will need to translate the situation into an equation. Strategies/Skills:Students will build on their understanding of addition and subtraction by using place value strategies to make sense of the standard algorithms. They are expected to use a variety of models to support their reasoning about numbers. • Comparison Bars • Number Lines Video Support:o Comparing numbers using bar models https://learnzillion.com/lessons/2569-comparing-numbers-using-bar-models o See multiplication as a comparison using number sentences https://learnzillion.com/lessons/2543-see-multiplication-as-a-comparison-using-number- sentences o Compare numbers using additive and multiplicative comparisons https://learnzillion.com/lessons/2891-compare-numbers-using-additive-and- multiplicative-comparisons o Represent unknown numbers using symbols or letters https://learnzillion.com/lessons/2744-represent-unknown-numbers-using-symbols-or- letters o Solve multiplicative comparison word problems by using bar models https://learnzillion.com/lessons/2745-solve-multiplicative-comparison-word-problems- by-using-bar-models o Solve multiplicative comparison word problems by using bar models to represent divison https://learnzillion.com/lessons/2851-solve-multiplicative-comparison-word-problems- by-using-bar-models-to-represent-division o Solve multiplicative comparison word problems using multiplication or division https://learnzillion.com/lessons/3017-solve-multiplicative-comparison-word-problems- using-multiplication-or-division |
## 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
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