## 2-D Figures
1/11/2016
Common Core State Standards:4.G.2 Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of a specified size. Recognize right triangles as a category, and identify right angles. Essential Vocabulary: quadrilateral isosceles trapezoid trapezoid rhombus parallelogram rectangle square right triangle right obtuse acute attributes parallel perpendicular congruent equilateral isosceles scalene kite Unit Overview:In this unit, students will build upon their understanding of identifying various shapes through attributes. In this unit students will focus on identifying parallel lines and perpendicular lines while identifying the angles used from the previous units: acute, obtuse, and right. Students will investigate the concept of “same size and same shape”; however, the concept of congruence and similarity do not appear until middle school. Strategies/Skills:Students will build on their understanding of geometric shapes and go further with identifying and measuring angles. Students will model mastery of this concept through the following ways: drawing identifying analyzing Video Supporto Classify two-dimensional figures by examining their properties https://learnzillion.com/lessons/2879-classify-twodimensional-figures-by-examining-their- properties o Classify triangles by examining their properties https://learnzillion.com/lessons/3040-classify-triangles-by-examining-their-properties o Classify right triangles https://learnzillion.com/lessons/3069-classify-right-triangles o Classify various quadrilaterals by describing their properties https://learnzillion.com/lessons/2936-classify-various-quadrilaterals-by-describing-their- properties o Classify quadrilaterals by examining their sides https://learnzillion.com/lessons/2937-classify-quadrilaterals-by-examining-their-sides o Classify parallelograms by examining their angles and sides https://learnzillion.com/lessons/2988-classify-parallelograms-by-examining-their-angles-and- sides
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## Measuring Angles
12/14/2015
Unit Name: Measuring AnglesCommon Core State Standards:4.MD.6 Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.4.MD.7 Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.Essential Vocabulary: lines angle point line segment ray vertex/vertices measure point end point geometric shapes ray angle circle fraction intersect one-degree angle protractor decompose addition subtraction unknown complementary angles Unit Overview:In this unit, students will be exposed to measuring angles for the first time. Angle measure is a "turning point" in the study of geometry. Students often find angles and angle measure to be difficult concepts to learn, but that learning allows them to engage in interesting and important mathematics. Students will learn that a circle is made up of 360 one-degree angles. Students will learn to reason usingcomplementary angles. They will utilize this information in order to decompose (break apart) angles into smaller angles. For example a 40 degree angle = 40 one-degree angles = 25 degree angle + 15 degree angle, etc. In addition, students will learn how to use a protractor as a tool within this unit. Strategies/Skills:Students will build on their understanding of geometric shapes and go further with identifying and measuring angles. Students will model mastery of this concept through the following ways: building drawing identifying analyzing Video Support:**Introduction to protractors**https://learnzillion.com/lessons/2907-introduction-to-protractors**Measure angles to the nearest 10 by reading a protractor**https://learnzillion.com/lessons/3010-measure-angles-to-the-nearest-10-by-reading-a-protractor**Measure angles to the nearest degree with protractor**https://learnzillion.com/lessons/2973-measure-angles-to-the-nearest-degree-with-protractors**Sketch angles that are multiples of 10 degrees using a protractor**https://learnzillion.com/lessons/2913-sketch-angles-that-are-multiples-of-10-degrees-using-a-protractor**Sketch angles that are not multiples of 10 degrees using protractor**https://learnzillion.com/lessons/3101-sketch-angles-that-are-not-multiples-of-10-degrees-using-a-protractor**Compose and decompose angles**https://learnzillion.com/lessons/3270-compose-and-decompose-angles**Understand that angle measure is additive by decomposing**https://learnzillion.com/lessons/3253-understand-that-angle-measure-is-additive-by-decomposing**Finding unknown angles using angle properties**https://learnzillion.com/lessons/3254-find-unknown-angles-using-angle-properties**Find unknown angles using diagrams**https://learnzillion.com/lessons/3402-find-unknown-angles-using-diagrams**Write an equation to solve for a missing angle measure**https://learnzillion.com/lessons/3403-write-an-equation-to-solve-for-a-missing-angle-measure
Questions to Ask When Helping Your Child with Math Homework Keep in mind that homework in elementary schools is designed as practice. If your child is having problems, please let the classroom teacher know. When helping your child with his/her math homework, you don’t have to know all the answers! Instead, we encourage you to ask probing questions so your child can work through the challenges independently. What is the problem you’re working on? What do the directions say? What do you already know that can help you solve the problem? What have you done so far and where are you stuck? Where can we find help in your notes? Are there manipulatives, pictures, or models that would help? Can you explain what you did in class today? Did your teacher work examples that you could use? Can you go onto another problem & come back to this one later? Can you mark this problem so you can ask the teacher for an explanation tomorrow? ## Relationship between Circles and Angles
12/7/2015
Unit Name: Relationship between Circles and Angles4.MD.5 Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement: a. An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a "one-degree angle," and can be used to measure angles. b. An angle that turns through n one-degree angles is said to have an angle measure of n degrees.Essential Vocabulary: lines angle point line segment ray vertex/vertices measure point end point geometric shapes ray angle circle fraction intersect one-degree angle protractor decompose addition subtraction unknown complementary angles Unit Overview:In this unit, students will be exposed to measuring angles for the first time. Angle measure is a "turning point" in the study of geometry. Students often find angles and angle measure to be difficult concepts to learn, but that learning allows them to engage in interesting and important mathematics. Students will learn that a circle is made up of 360 one-degree angles. Students will need to reason with complementary angles. They will need to utilize this information in order to break angles into smaller angles. For example a 40 degree angle = 40 one-degree angles = 25 degree angle + 15 degree angle, etc. In addition, students will learn how to use a protractor as a tool within this unit. Strategies/Skills:Students will build on their understanding of geometric shapes and go further with identifying and measuring angles. Students will model mastery of this concept through the following ways: building drawing identifying analyzing Video Support:Measure full and half rotations https://learnzillion.com/lessons/2633-measure-full-and-half-rotationsMeasure quarter and three quarter rotations https://learnzillion.com/lessons/2635-measure-quarter-and-threequarter-rotationsUnderstand and measure one-degree angles https://learnzillion.com/lessons/2586-understand-and-measure-onedegree-anglesEstimate the measure of an angle using benchmark and one-degree angles https://learnzillion.com/lessons/2766-estimate-the-measure-of-an-angle-using-benchmark-and-onedegree-anglesSolve real world problems involving angle measurement https://learnzillion.com/lessons/2616-solve-real-world-problems-involving-angle-measurement Questions to Ask When Helping Your Child with Math HomeworkKeep in mind that homework in elementary schools is designed as practice. If your child is having problems, please let the classroom teacher know. When helping your child with his/her math homework, you don’t have to know all the answers! Instead, we encourage you to ask probing questions so your child can work through the challenges independently. What is the problem you’re working on? What do the directions say? What do you already know that can help you solve the problem? What have you done so far and where are you stuck? Where can we find help in your notes? Are there manipulatives, pictures, or models that would help? Can you explain what you did in class today? Did your teacher work examples that you could use? Can you go onto another problem & come back to this one later? Can you mark this problem so you can ask the teacher for an explanation tomorrow? ## Lines & Angles
12/1/2015
Unit Name: Lines and Angles4.G.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.Essential Vocabulary: lines angle point line segment ray vertex/vertices oblique plane perpendicular parallel line of symmetry polygon right angle obtuse angle acute angle Unit Overview:In this unit, students will be identifying angles and be able to explain/reason with different types of angles. This is the first time the students will be exposed to rays, angles, perpendicular and parallel lines. Strategies/Skills:Students will build on their understanding of geometric shapes and go further with a variety of properties. Students will model mastery of this concept through the following ways: building drawing identifying analyzing Video Support:o Draw points, lines, and line segmentshttps://learnzillion.com/lessons/2346-draw-points-lines-and-line-segments o Classify and draw various types of angleshttps://learnzillion.com/lessons/2395-classify-and-draw-various-types-of-angles o Draw parallel and perpendicular lineshttps://learnzillion.com/lessons/2313-draw-parallel-and-perpendicular-lines o Label and name points, lines, rays and angles using math notationhttps://learnzillion.com/lessons/2416-label-and-name-points-lines-rays-and-angles-using- math-notation ## 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 ## 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 ## Strategies For Division
10/23/2015
Unit Name: Strategies for DivisionCommon Core State Standards: 4.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, rectangular arrays, and/or area models. Essential Vocabulary:• division/divide • divisor • dividend • quotient • area • array • inverse operation • area model • expanded notation • algebraic notation 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 solve for multi-digit division. This will be the students’ first exposure to remainders. Students will be asked to reason with remainders and make connections to prime and composite numbers. Students will solve multi-digit division problems with the use of various strategies listed below. Students will not be required to use the standard algorithm until 5th grade. 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/Arrays • Base Ten blocks • Expanded notation • Algebraic notation Video Support:Video support can be found on The WCPSS Academics YouTube Channel. • http://tinyurl.com/WCPSSAcademicsYouTube Video support can be found on LearnZillion. • https://learnzillion.com/ o ES 4 Math Division with Area Model https://www.youtube.com/watch?v=uF1KOA_AIfs&list=PLNDkuWRw1gGRpuFSgmH jf07KamFfjq8Gz&index=1 o ES 4 Math Division with Area Model 2 https://www.youtube.com/watch?v=4y8Dpw9SUbU&list=PLNDkuWRw1gGRpuFSgm Hjf07KamFfjq8Gz&index=31 o ES 4 Math Division with Expanded Notation https://www.youtube.com/watch?v=6F83P_20dU8&list=PLNDkuWRw1gGRpuFSgmHj f07KamFfjq8Gz&index=4 o ES 4 Math Division with Base Ten https://www.youtube.com/watch?v=iSqYnWqSDPo&list=PLNDkuWRw1gGRpuFSgm Hjf07KamFfjq8Gz&index=3 o Solve Division Problems: using array https://learnzillion.com/student/lessons/26-solve-division-problems-using-array |
## 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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