Wake County Public School System
7612380147955Grade 3: NC READY EOG – Math Menu of Activities Using these EOG review lessons for assessment preparation can serve as a frame for meaningful performance goals as it can help learners to clarify targeted standards; yield evidences of understandings or misunderstandings; and support learning outcomes and benchmarks. The purpose of this resource is to inform teaching and improve learning so students can achieve the highest academic standards possible in mathematics.Third GradeMajor ClustersSupporting/Additional ClustersOperations and Algebraic ThinkingRepresent and solve problems involving multiplication and division.Understand properties of multiplication and the relationship between multiplication and division.Multiply and divide within 100.Solve problems involving the four operations, and identify and explain patterns in arithmetic.Number and Operations—FractionsDevelop understanding of fractions as numbers.Measurement and DataSolve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.Geometric measurement: understand concepts of area and relate area to multiplication and to addition.Number and Operations in Base TenUse place value understanding and properties of operations to perform multi-digit arithmetic.Measurement and DataRepresent and interpret data.Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.GeometryReason with shapes and their attributes.Not all of the content in a given grade is emphasized equally in the standards. Some clusters require greater emphasis than others based on the depth of the ideas, the time it takes to master, and/or their importance to future mathematics. Some things having greater emphasis is not to say that anything in the standards can safely be neglected in instruction. The major works for the grade level are listed in the table below. The following outlines the percentages of items in each domain of the NC MATH EOG for the grade level:Operations and Algebraic Thinking30-35 %Number and Operations-Fractions20-25%Measurement and Data 22-27%Geometry10-15% Numbers and Operations -Base Ten5-10%Helping students be ready for the EOG using such strategies as setting criteria for clarity of tasks; providing relevant lessons connected to assessments; and giving feedback so they can successfully learn and meet the expectations will influence students’ motivation to learn. Released version of the NC Ready EOG can be found at . All items in review lessons and games come solely from this released version. Building the Language of Math for Students to be Ready for the EOGMathematically proficient students communicate precisely by engaging in discussions about their reasoning using appropriate mathematical language. The terms students should know at this grade level with precision is included in this document. Communication plays an important role in helping children construct links between their formal, intuitive notions and the abstract language and symbolism of mathematics; it also plays a key role in helping children make important connections among physical, pictorial, graphic, symbolic, verbal, and mental representations of mathematical ideas. * Curriculum and Evaluation Standards for School Mathematics, the National Council of Teachers of Mathematics (p. 26)Mathematical vocabulary however should not be taught in isolation where it is meaningless and just becomes memorization. We know from research that meaningless memorization is not retained nor will it help build the deep understanding of the mathematical content. The students must be provided adequate opportunities to develop vocabulary in meaningful ways such as mathematical explorations and experiences. Students should be immersed into the mathematical language as they experience the following high-level tasks. As student communicate their thoughts, ideas, and justify the reasonableness of their solutions the mathematical language will begin to evolve. * NCDPIThe following resources can be used conjunction with these EOG Ready Lessons to help students understand the math vocabulary as listed on the next page. In each lesson, a math vocabulary game is included; however, if students need more support, please see the direct link below. Math Vocabulary Development Lesson Activities and Games: *Building Background Knowledge, Marzano Glossary Hyperlinks: (words and definitions in English/Spanish for parents, students, and teachers) These math vocabulary words have been organized by domain and listed in each cluster to better promote connection and precision of the language. 3rd Grade Math Vocabulary (NCDPI)Operations and Algebraic ThinkingNumber and Operations in Base TenNumber and Operations- FractionsMeasurementand DataGeometry30-35% of EOG5-10% of EOG20-25% of EOG22-27% of EOG10-15% of EOGRepresent and solve problems involving multiplication and division.operations, multiplication, division, factor, product, quotient, partitioned equally, equal shares, number of groups, number in the groups, array, equation, unknown, expression, equationUnderstand properties of multiplication and the relationship between multiplication and division.operation, multiply, divide, factor, product, quotient, dividend, divisor, strategies, unknown, (properties)-rules about how numbers workMultiply and divide within 100.operation, multiply, divide, factor, product, quotient, unknown, strategies, reasonableness, mental computation, propertySolve problems involving the four operations, and identify and explain patterns in arithmetic.operation, multiply, divide, factor, product, quotient, subtract, add, addend, sum, difference, equation, expression, unknown, strategies, reasonableness, mental computation, estimation, rounding, patterns, (properties)-rules about how numbers workUse place value understanding and properties of operations to perform multi-digit arithmetic.place value, round, addition, add, addend, sum, subtraction, subtract, difference, strategies, (properties)-rules about how numbers workrelationship, estimation, base ten model,more, fewer, total, digits, ones, tens, hundreds, thousandsDevelop understanding of fractions as numbers.partition(ed), equal parts, fraction, equal distance ( intervals), equivalent, equivalence, reasonable, denominator, numerator, comparison, compare, ?, ?, = , justify,inequality, halves, thirds, fourths, sixthseighths, area model, number line, segments, unit fraction, wholeSolve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.estimate, time, time intervals, a.m, p.m, digital clock, analog clock, minute, hour, elapsed time, measure, liquid volume, mass, standard units, metric, gram (g), kilogram (kg), liter (L)Represent and interpret data.scale, scaled picture graph, scaled bar graph, line plot, dataGeometric measurement: understand conceptsof area and relate area to multiplication and to addition.attribute, area, square unit, plane figure, gap, overlap, square cm, square m , square in., square ft, nonstandard units, tiling, side length, decomposingGeometric measurement: recognize perimeteras an attribute of plane figures and distinguish between linear and area measures.attribute, perimeter, plane figure, linear, area, polygon, side lengthReason with shapes and their attributes.attributes, properties, quadrilateral, open figure, closed figure , three-sided, 2-dimensional, 3-dimensional, rhombi, rectangles, and squares are subcategories of quadrilaterals, cubes, cones, cylinders, and rectangular prisms are subcategories of 3-dimensional figures shapes: polygon, rhombus/rhombi, rectangle, square, partition, unit fraction, kite, example and non-exampleFrom previous grades: triangle, quadrilateral, pentagon, hexagon, cube, trapezoid, half/quarter circle, circle, cone, cylinder, sphere*NC DPIBuilding Fluency Through Games (NCDPI) Developing fluency requires a balance and connection between conceptual understanding and computational proficiency. Computational methods that are over-practiced without understanding are forgotten or remembered incorrectly. Conceptual understanding without fluency can inhibit the problem solving process. * NCTM, Principles and Standards for School Mathematics, pg. 35 Why Play Games? People of all ages love to play games. They are fun and motivating. Games provide students with opportunities to explore fundamental number concepts, such as the counting sequence, one-to-one correspondence, and computation strategies. Engaging mathematical games can also encourage students to explore number combinations, place value, patterns, and other important mathematical concepts. Further, they provide opportunities for students to deepen their mathematical understanding and reasoning. Teachers should provide repeated opportunities for students to play games, and let the mathematical ideas emerge as they notice new patterns, relationships, and strategies. Games are an important tool for learning. Here are some advantages for integrating games into elementary mathematics classrooms: ? Playing games encourages strategic mathematical thinking as students find different strategies for solving problems and it deepens their understanding of numbers. ? Games, when played repeatedly, support students’ development of computational fluency. ? Games provide opportunities for practice, often without the need for teachers to provide the problems. Teachers can then observe or assess students, or work with individual or small groups of students. ? Games have the potential to develop familiarity with the number system and with “benchmark numbers” – such as 10s, 100s, and 1000s and provide engaging opportunities to practice computation, building a deeper understanding of operations. ? Games provide a school to home connection. Parents can learn about their children’s mathematical thinking by playing games with them at home. Building Fluency Developing computational fluency is an expectation of the Common Core State Standards. Games provide opportunity for meaningful practice. The research about how students develop fact mastery indicates that drill techniques and timed tests do not have the power that mathematical games and other experiences have. Appropriate mathematical activities are essential building blocks to develop mathematically proficient students who demonstrate computational fluency (Van de Walle & Lovin, Teaching Student-Centered Mathematics Grades K-3, pg. 94). Remember, computational fluency includes efficiency, accuracy, and flexibility with strategies (Russell, 2000). The kinds of experiences teachers provide to their students clearly play a major role in determining the extent and quality of students’ learning. Students’ understanding can be built by actively engaging in tasks and experiences designed to deepen and connect their knowledge. Procedural fluency and conceptual understanding can be developed through problem solving, reasoning, and argumentation (NCTM, Principles and Standards for School Mathematics, pg. 21). Meaningful practice is necessary to develop fluency with basic number combinations and strategies with multi-digit numbers. Practice should be purposeful and should focus on developing thinking strategies and a knowledge of number relationships rather than drill isolated facts (NCTM, Principles and Standards for School Mathematics, pg. 87). Do not subject any student to computation drills unless the student has developed an efficient strategy for the facts included in the drill (Van de Walle & Lovin, Teaching Student Centered Mathematics Grades K-3, pp.117) Drill can strengthen strategies with which students feel comfortable—ones they “own”—and will help to make these strategies increasingly automatic. Therefore, drill of strategies will allow students to use them with increased efficiency, even to the point of recalling the fact without being conscious of using a strategy. Drill without an efficient strategy present offers no assistance (Van de Walle & Lovin, Teaching Student-Centered Mathematics Grades K-3, pg. 117)Cautions Sometimes teachers use games solely to practice number facts. These games usually do not engage children for long because they are based on students’ recall or memorization of facts. Some students are quick to memorize, while others need a few moments to use a related fact to compute. When students are placed in situations in which recall speed determines success, they may infer that being “smart” in mathematics means getting the correct answer quickly instead of valuing the process of thinking. Consequently, students may feel incompetent when they use number patterns or related facts to arrive at a solution and may begin to dislike mathematics because they are not fast enough. Introduce a game A good way to introduce a game to the class is for the teacher to play the game against the class. After briefly explaining the rules, ask students to make the class’s next move. Teachers may also want to model their strategy by talking aloud for students to hear his/her thinking. “I placed my game marker on 6 because that would give me the largest number.” Games are fun and can create a context for developing students’ mathematical reasoning. Through playing and analyzing games, students also develop their computational fluency by examining more efficient strategies and discussing relationships among numbers. Teachers can create opportunities for students to explore mathematical ideas by planning questions that prompt students to reflect about their reasoning and make predictions. Remember to always vary or modify the game to meet the needs of your leaners. Encourage the use of the Standards for Mathematical Practice. Holding Students Accountable While playing games, have students record mathematical equations or representations of the mathematical tasks. This provides data for students and teachers to revisit to examine their mathematical understanding. After playing a game have students reflect on the game by asking them to discuss questions orally or write about them in a mathematics notebook or journal: 1. What skill did you review and practice? 2. What strategies did you use while playing the game? 3. If you were to play the games a second time, what different strategies would you use to be more successful? 4. How could you tweak or modify the game to make it more challenging? For students to become fluent in arithmetic computation, they must have efficient and accurate methods that are supported by an understanding of numbers and operations. “Standard” algorithms for arithmetic computation are one means of achieving this fluency. NCTM, Principles and Standards for School Mathematics, pg. 35. Overemphasizing fast fact recall at the expense of problem solving and conceptual experiences gives students a distorted idea of the nature of mathematics and of their ability to do mathematics. Seeley, Faster Isn’t Smarter: Messages about Math, Teaching, and Learning in the 21st Century, pg. 95 Fluency refers to having efficient, accurate, and generalizable methods (algorithms) for computing that are based on well-understood properties and number relationships. NCTM, Principles and Standards for School Mathematics, pg. 144 Computational fluency refers to having efficient and accurate methods for computing. Students exhibit computational fluency when they demonstrate flexibility in the computational methods they choose, understand and can explain these methods, and produce accurate answers efficiently. NCTM, Principles and Standards for School Mathematics, pg. 152WordSplash!Purpose: To provide explicit vocabulary concept development for a specific math domain or cluster of standards for the grade level.Lesson Materials Needed:EOG Math Vocabulary words from a specific domain or clusterMath journal or notebook paperPencilsWordsplash! Handout (attached)Directions: Teacher provides vocabulary concept development for a specific math domain or cluster as listed in the vocabulary section for the grade level. Students work with a partner and use the words that are “splashed” with WordArt displayed on paper or projected to talk about how they are connected. Students then write a journal entry to record in complete statements about how the words are connected using as many words as possible to explain. Journal entries must make sense. Allow time for students to share their journal entries with a small group. The following is an example of a WordSplash! for the grade level. Adapt this activity for any domain or cluster. WordSplash!Discuss the following words with a partner that are “splashed” on the page below. Be as precise as possible when talking about how the following words are connected. After discussion, each student will write a journal entry capturing an example to show how the words are connected using as many words as possible. Journal entries must make sense. Be ready to share your entry with a small group. Numbered Heads TogetherPurpose: To provide an effective and engaging practice activity in reviewing material prior to an assessment and as well as encourage the sharing of information so that all students regardless of levels can master the content and language related to the topic. Lesson Materials Needed: -EOG Problem Question Set (attached)-Whiteboards/Markers-Blank Paper-Pencils-TI-15 Calculators (optional) Graph Paper Sheet (optional). Groupings are made of heterogeneously mixed students of four. Once grouped, they count off so that each student has a number 1-4. 2. Teacher uses prepared assessment review questions from the EOG Review Question Sets displayed or projected. Problems are revealed one at a time and each group discusses the possible answer choices finding a consensus on the correct answer. 3. The teacher then spins a spinner and calls out a number 1-4. If the number is “2” then all students who are number 2 in each group stand up and give their groups answer. Though everyone in the group is responsible for the answer, only one student in each group will be chosen randomly to report the answer. 4. Use the following sentence frames to support groups’ math talk discussions: It may be helpful to post these on sentence strips or index cards for students to refer to during cooperative group work. “I disagree with that answer because I think it should be ____ because I know___.” “I agree that is the correct answer because ______________.”“The correct answer is _____ because _________.”*Variation: Instead of students having a number 1-4, they can be assigned a letter A-D to represent an multiple choice answer. Teacher then randomly picks a letter card from a bag and then all students with that letter must stand and explain why that answer choice is correct OR why that answer choice is not correct. Teacher facilitates discussion of the correct answer choice while students give rationales as to why the other answer choices would not make sense. SNAP!Purpose: To provide vocabulary concept development for a specific math domain or cluster in the grade level.Lesson Materials Needed: - EOG Math Vocabulary words from specific domains/clusters-Snap Handout (attached)-Index Cards (optional)-Small bag or box Directions: 1. Focus words are written on index cards or can be typed into the attached template handout. Write the word “SNAP” on a couple of cards.2. Place all cards in a small bag or box. Student draws out one card and tries to define the word with a picture, gesture, or verbally3. If correct, the student keeps the card; however, if incorrect the student puts the card back in the bag. 4. If a student draws a “SNAP” card, all cards from every student must go back into the bag. The bag is passed from student to student until time runs out or teacher calls time. Numbers and Operations in Base Ten SNAP! AdditionPlace valueProof drawingExpanded methodNumber lineHundredsDigit TensRound OnesPropertiesSubtraction*SNAP**SNAP*Operations and Algebraic Thinking SNAP! multiplyoperationdividequotientequationproductdifference sumsubtractaddunknownestimate*SNAP**SNAP*Numbers and Operations Fractions SNAP! partitionequivalentreasonablenumeratorcomparedenominatorarea modelunit fractionsegmentsintervalsfractionwhole*SNAP**SNAP*Measurement and Data SNAP! perimeterareasquare unitside lengthdecomposelinearpolygontilingattributemeasureunitsgap & overlap*SNAP**SNAP*Geometry SNAP! propertiesquadrilateralrhombus3-dimensionalpolygonsquarecuberectangular prism rectanglehexagonpentagontrapezoid*SNAP**SNAP*4-CornersPurpose: To provide an exciting movement activity for all learners to participate in sharing their answer choice to a review assessment question in a non-threatening way to a group. Lesson Materials Needed: -EOG Problem Question Set (attached)-Whiteboards/Markers -Blank Paper-Pencils-TI-15 Calculators (optional) Graph Paper Sheet (optional): 1. Each corner of the room is labeled with a letter A, B, C, D. Teacher uses prepared assessment review questions from EOG Review Question Set displayed or projected one at a time. All students solve the problem using individual whiteboard. 2. When teachers says “GO” students mix around the room comparing their solutions and answer choices. When teacher says “CORNER” each student to the corner they believe to be showing the correct answer choice to the review question. 3. Teacher monitors understandings or misunderstandings and can take advantage of teachable moments. Instruction now becomes whole group as teacher clarifies. 4. Promote more whole group math talk to connect ideas by posing questions such as: What did ____just say? Can you tell me more? Who can repeat what _____just said? Does anyone want to add on to what ____said? Do you agree or disagree with _____’s idea/answer? Is this what you said? Can you prove it? What do you think will happen if _____? What makes you say that?LINGO!Purpose: To provide vocabulary concept development for a specific math domain or cluster as listed in the vocabulary section for the grade level. Lesson Materials Needed: - EOG Math Vocabulary words from a specific domain or cluster -Markers-LINGO board per student (attached)-Vocabulary Cards (attached)Directions: 1. Have students write in empty boxes from a set of focus words in a specific domain or cluster. Teacher provides the specific word list for students to choose from (see below).2. Teacher gives a description and a picture representation of each word. 3. In order to win, the first student with 5 in a row (vertical, horizontal, diagonal) must restate or explain each word using a gesture or drawing to the rest of the class. *Variation: Rather than just have “winners” restate each word, as they use gestures and/or drawings to explain to the class, this activity can easily turn into a quick game of charades or Pictionary which will allow for all students to remain engaged in the learning process as the winner’s words are revealed! OPERATIONS and ALGEBRAIC THINKING NUMBER and OPERATIONS-BASE TENNUMBER and OEPRATIONS- FRACTIONSMEASUREMENT and DATAGEOMETRYfactor, product, operation, unknown, array, equation, quotient, difference, sum, properties, equal shares, patterns, estimation, rounding, dividend, expression, multiply, divide, add, subtract, strategy, addend, reasonable, partitionplace, value, round, addition, strategies, properties, subtract, subtraction, base ten model, more, fewer, total, digits, ones, tens, hundreds, thousands, sum, estimation, operation, relationship, difference, addend, multi-digit, regroup partition, equal parts, fraction, equal distance, equivalent, reasonable, zero, one denominator, justify, compare, numerator, inequality, halves, thirds, fourths, sixths, eighths, area model, number line, intervals segments, unit fraction, whole, time, analog, digital, AM, PM, measure, liquid volume, standard unit, metric, gram, kilogram, liter, scale, picture, clock, graph, bar graph, line plot, data, perimeter, area, minute, hour, elapsed time, massproperties, 2-D quadrilateral, 3-D, rectangle, square, rhombus, cube, cone, cylinder, rectangular prism, polygon, kite, trapezoid, closed figure, triangle, pentagon, hexagon, circle, sphere, half circle, quarter circle, non- example, exampleLINGOFREEPractice TestPurpose: To provide an engaging experience with a practice test (at home or school) utilizing technology to review material previously taught. Lesson Materials Needed:-computer/projector (if whole group practice)-blank paper and graph paper-pencil-(TI-15) calculators (optional)Directions: Use hyperlink to display or project a grade level practice test for common core math Grade 3. Activities:1. Project for the whole group each question. Allow time for students to work independently first to find the answer. Then have students pair and share to compare answers. Randomly choose students to solve and discuss at the board as they manipulate the screen to show the correct answer.2. Send home this link attached with a piece of blank paper and graph paper. Allow parents to utilize this technology practice test with their student. Have students respond in writing to one of the following prompt:“What is the one thing after taking the math practice test that you understand the most? What about the least?”3. Allow for students to individually take the practice test on a computer or another functioning device. Monitor students and assist as necessary responding to individual needs. *Note: Explore more tests and performance tasks online at Someone WhoPurpose: To provide an engaging movement activity that allows students to peer coach each other on previously taught material to review for an assessment. Lesson Materials Needed: -EOG Problem Question Set (attached)-Whiteboards/Markers -Blank Paper-Pencils-TI-15 Calculators (optional) Graph Paper Sheet (optional): 1. Students are given a review sheet of assessment problems from EOG Review Question Set. 2. Students are given a ten minute head start to independently find answers to the problems. Teacher may assist struggling students during this10 minutes. Then all students circulate around the room to find help answering the questions on the sheet. 3. As they approach each other and ask a question and if the student knows the answer, s/he must “teach and tell” it to the other student while that student writes it down on review sheet. The student who gave the answer/information will then sign or initial next to the answer on the other students’ paper. Each student may give information to no more than one question on another student’s paper. 4. After a given time, students take their seats and the teacher displays the correct answer choices for all of the problems while each student self checks his/her review sheet. 5. Then the teacher facilitates a review session for difficult problems so that students can make sense of the answers. Promote more whole group math talk to connect ideas by posing questions such as: What did ____just say? Can you tell me more? Who can repeat what _____just said? Does anyone want to add on to what ____said? Do you agree or disagree with _____’s idea/answer? Is this what you said? Can you prove it? What do you think will happen if _____? What makes you say that?Word Sorts!Purpose: To provide vocabulary concept development for a specific math domain or cluster as listed in grade level standards. Lesson Materials Needed: -EOG Math Vocabulary words from a specific domain or cluster -Envelope -Word Sort handout (attached)-Index Cards (optional)-T-chart or Venn diagram : 1. Give small groups or pairs of students a list of focus words from a specific domain or cluster of standards. Have the cards typed into the attached handout and precut or wrote on index cards. All cards are then placed in an envelope and given to a group of students. 2. Ask students to work together to sort the words into categories. Monitor students as they are discussing words and listen for precise descriptions. 3. A graphic organizer like a T-chart of Venn diagram can be used when sorting words to help students.*Note- all words in the example below will not be used in one complete sort. This allows for students to make multiple sorts. 4. Allow time for small group to be in the “fishbowl” as other groups circle around to listen and learn how and why the group sorted the words that way. Students can ask questions for the group inside the “fishbowl” to answer. 5. Teacher can provide a whole class discussion to connect and clarify ideas using math talk. Measurement and Data Word Sort!TimeHourElapsed timeMeasureMassStandard unitsMetricGram (g)Kilogram (kg)Liter (L)Liquid volume ClockAnalog Digital Minute HourGeometry Word Sort!attributequadrilateralkitesquarehexagonrectanglepentagonrhombus3-dimensionalpolygoncubetrapezoidcylindertrianglerectangle prismconeNumber and Operations Fraction Word Sort!fractionwholeunit fractionpartitionhalvesthirdsfourthssixthseighthscomparereasonableequivalentestimatenumeratorintervaldenominatoronezeroNumber and Operations in Base Ten Word Sort!ModelPlaceDigitOnesTensHundredsThousandsMoreFewerTotalAddSubtractPropertiesDifferenceSumValue Operations and Algebraic Thinking Word Sort!multiplicationdivisionfactorquotientproductdivisor arrayequal sharesnumber of groupsoperationoperation expressionunknownequationroundestimationVocabulary Paint ChipsPurpose: To provide vocabulary concept development for a specific math domain or cluster of standards in small group review sessionLesson Materials Needed: -a set of colored paint chips/cards (pick up for FREE at a local hardware store) - EOG Math Vocabulary words from a specific domain or cluster Directions: Assign each student in a small group a specific vocabulary word from a particular math domain or cluster. Pass out a blank colored paint chip card to each student. Allow time for the students to complete each portion of the card. See example below. Optional Activities: 1. You can ask students in the small group to sort all of their words in a way that make sense. Make sure that you are assigning words from a domain that can be sorted in multiple ways. Monitor students as they are discussing words and listen for precise descriptions. You can also provide a graphic organizer (Venn diagram, T-Chart, 2-column chart, ect.) for students to write on which will allow for some accountability in learning. Allow time for students to share with the whole group. 2. You can have students paired together for peer partners. Once students in the classroom have created a set of paint chip vocabulary cards, partner students together and provide a few premade paint chip cards and a short list of the terms from the paint chip cards on a sheet of paper. One student serves as the coach and the other a player. While the player works to define a key term from the list, the coach provides assistance, feedback, or praise based on the word, definition, sentence, or picture from the paint chip. Students take turns and reverse roles until all words on the list have been reviewed. 515874010172703. You can have students in a small group take turns use descriptions and gestures to describe the words without saying the vocabulary word. Place all paint chips vocabulary cards face down. Have one student at a time turn over a card. Then that student demonstrates for the small group that word until someone from the group guesses the word. Each player takes a turn. Once paint chip cards have been used, keep them face up so another student doesn’t choose that word again. Circle the Sage Purpose: To allow student instruction to be maximized for all levels of learners as well as allow a structured time for classroom teacher to work with a struggling group of students while student leaders are facilitating small group learning. Lesson Materials Needed: -EOG Problem Question Set (attached)-Whiteboards/Markers -Blank Paper-Pencils-TI-15 Calculators (optional) Graph Paper Sheet (optional): 1. The teacher prepares review assessment problems from EOG Review Question Set displayed or projected. The teacher asks for 4-5 “sages” who feel they could answer the question correctly and explain with precision to a small group of students why the answer makes sense. 2. The sages sit in a chair located in different places around the room. It might be helpful to prepare questions cards for the sages to ask students to check for understanding such as: “Can you show me a model?” “Can you prove why this answer choice is correct?” “Does anyone else have any questions for me?” “Can you explain how this problem was solved?” “Does this answer make sense? Why or why not?”3. The other students then divide themselves equally among the sages. They sit down on the floor to listen and learn from the sage. These students are required to take notes and write down the answer proving it with a model to help make sense of the problem and solution. 4. Then all students return back to their original desks. Teacher then facilitates whole group discussion on the problems and promotes more math talk to connect ideas by posing questions such as:What did ____just say? Can you tell me more? Who can repeat what _____just said? Does anyone want to add on to what ____said? Do you agree or disagree with _____’s idea/answer? Is this what you said? Can you prove it? What do you think will happen if _____? What makes you say that?JeopardyPurpose: To facilitate cooperative group learning through technology but allow for independent accountability for each player on the team. Lesson Materials Needed: -Jeopardy Game Board per student (attached)-Jeopardy Math PPT file (attached)-Whiteboards/Markers -Blank Paper and pencils -TI-15 Calculators (optional) -EOG Graph Paper : 1. Every student is given a copy of the blackline master, “Jeopardy Game Board” to keep track of individual answers. This allows for all students to participate in solving the problem. Teacher manages the PowerPoint presentation clicking on the cell for which a contestant chooses. Categories are based on math domains. 2. Students are placed into 3 heterogeneous groups of mixed ability and then one student is chosen from each group to be the contestant representing the group. Teacher can randomly choose contestants each time or students can choose. 3. A point value is added to the group if their contestant responds correctly; however, a point value is not subtracted from the game score if the contestant responds incorrectly as the process is important. Teacher must facilitate discussion around why the correct answer choice makes sense and why the other answer choices are not correct. 4. If the contestant answers correctly within reasonable time, the group remains in control, but a new contestant from the group must be chosen. No contestant can have another turn until all students have participated. 5. Students are given a couple of minutes to work on the problem presented as soon as the contestant has chosen it. No answers can be given from any contestant. Contestant must use whiteboard/markers to show their solutions. The rest of the groups can discuss quietly in their teams. 6. In order for an answer to be counted as point, the contestant must explain and justify why the answer choice is correct.7. If the contestant answers incorrectly, another contestant playing in the round can answer. 8. Double Jeopardy is when the point values double and only the contestant who selected it will be allowed to answer. This question cannot go to another group. 9. Final Jeopardy is when all students agree on a wager (within their points) and every group must play by answering the question. Every person has about 2 minutes to respond on the back of their game board. Every student in the group that gets the correct answer to the question is multiplied by a point value the team wagered. 10. Award all players a small token for participation. Note: *More interactive games to use for EOG review. Simply download and customize to your class using similar test prep questions. **Additional assessment items from NCDPI can be found at MATH EOG Jeopardy Game BoardFractionsMeasurement & DataGeometryAlgebraBase Ten100100100100100200200200200200300300300300300400400400400400500500500500500I Have/Who HasPurpose: To provide a fast-paced review game (in a whole group or small group setting) on specific material previously taught. Lesson Materials Needed: -Set(s) of I Have/Who Has cards (attached)-Whiteboards and markers Directions: 1. Deal all the cards to the players in the class. The player with the ‘Start’ card reads his/her card aloud to the whole group. 2. Each player checks to see if s/he has the correct answer. If so, that player then reads the answer and the question on his/her card. 3. The game ends when the player who started the game reveals his/her answer. All players should have an opportunity to participate if each player answered correctly. *Variation: This can be played in small groups or pairs of students following the same directions. Except each student receives multiple cards in the deck and turn over the cards once the answer has been shared. The player to turn over all of his/her cards first wins! Multiplication Facts Card Deck (whole group)STARTI have 72.Who has 4 x 9?I have 36.Who has 9 x 5?I have 45.Who has 6 x 8?I have 48.Who has 7 x 6?I have 42.Who has 9 x 3?I have 27. Who has 4 x 7?I have 28.Who has 8 x 4?I have 32.Who has 5 x 12?I have 60. Who has 6 x 3?I have 18.Who has 6 x 4?I have 24.Who has 9 x 6?I have 54.Who has 12 x 7?I have 84.Who has 7 x 3?I have 21.Who has 5 x 7?I have 35.Who has 8 x 7?I have 56.Who has 0 x 11?I have 0.Who has 7 x 9?I have 63.Who has 4 x 8?I have 32.Who has 8 x 12?I have 96.Who has 10 x 10?I have 100.Who has 11 x 6?I have 66.Who has 1 x 12?I have 12.Who has 7 x 7?I have 49.Who has 9 x 8?Place Value Card Deck (small group)I have 2,490.Who has 8 hundreds, 9tens, and 6 ones?I have 896.Who has 5 thousands, 9 hundreds and 6 tens?I have 5,960.Who has 4 tens, 2 ones and 3 hundreds?I have 342.Who has 7 thousands, 4 hundreds, and 5 ones?I have 7,405.Who has 7 hundreds, 1 thousand, and 2 tens?I have 1,720.Who has 7 ones, 5 tens, and 9 hundreds?I have 957.Who has 5 ones and 1 hundred?I have 105.Who has 1 hundred, 5 tens, and 3 ones?I have 153.Who has 2 thousands, 9 tens, and 4 hundreds?Equivalent Fractions Card Deck (small group of 3 students- must draw visuals) I have 2/8.Who has 1/2? I have 3/6.Who has 2/3? I have 4/6.Who has 3/4?I have 6/8. Who has 4/4? I have 1.Who has 1/3?I have 2/6.Who has 1?I have 3/3. Who has 1/4?Measurement Card Deck (small group)I have AREA.Who has the linear measure of the distance around a figure? I have PERIMETER.Who has a display of data represented in rectangles forming horizontal or vertical bars?I have a BAR GRAPH.Who has information that is collected and organized in a graph?I have DATA.Who has data displayed along the number line with points indicating the frequency of information? I have LINE PLOT.Who has data represented using pictures to show the frequency of information?I have a PICTURE GRAPH.Who has the amount of time between 5:00 and 6:00? I have an HOUR.Who has the amount of matter or weight in an object?I have MASS.Who has a metric unit of liquid volume? I have LITER. Who has the measure of square units needed to tile a figure? QR CodesPurpose: To provide a quick response, group activity utilizing technology that will engage all learners in review of previously taught material. Lesson Materials Needed: -QR codes printed on different colored paper (attached)- Ipads or device with a QR scanner-Blank Paper-Clipboards -Create more unique QR codes for continued review at : 1. Display the QR codes around the room on brightly colored paper or create more and place around the school as a scavenger hunt for students. Each QR code is linked to a different EOG review problem. 2. Group students together and give them a device to scan the QR code. Allow time for students solve the 6 problems on blank paper. Clipboards may be provided. 3. Once all teams have quickly responded to the codes, provide time to discuss in whole group to solidify and summarize the problems and solutions. Teacher asks probing questions to connect and clarify ideas such as: What did ____just say? Can you tell me more? Who can repeat what _____just said? Does anyone want to add on to what ____said? Do you agree or disagree with _____’s idea/answer? Is this what you said? Can you prove it? What do you think will happen if _____? What makes you say that?374904090805QR Codes8191576835 -324802511430037693602730544831099695-299974099695BINGOPurpose: To provide interactive review for specific math computations in the grade level using technology. Lesson Materials Needed: -BINGO game board per student (attached) -Whiteboards and markers-red/yellow counters -Projector/computerDirections: 1. Teacher choose computational skill for review game focus using one of the BINGO sites below. Teacher may adapt this activity to provide practice for any standard. Division BINGO Ten BINGO BINGO BINGO . Have students write randomly in the empty boxes from a set of answers provided by the teacher. 3. Teacher displays the problem and students solve the problem using whiteboard/markers. Then student marks the answer on his/her board. 4. Students follow along using the website; however in order to win, the first student with 5 in a row (vertical, horizontal, diagonal) must choose one answer to solve and explain to the rest of the class. FREESPACEQUESTION SET A- Geometry (10-15% of EOG) and Numbers and Operations -Base Ten (5-10% of EOG)38976302165350020955235585 What fraction of the area model below is shaded?49530052070-14922528130500293179533718587249087630-36004515621000-44577094615432625420764500-102870140970Mary bought 9 boxes of pencils. There are 50 pencils in each box. What is the total number of pencils Mary bought?638810105410238760484505-660402768590096520-35623600 A print shop has an order for 902 signs. The shop has already printed 705 signs. How many more signs does the print shop need to print to complete the order? 432625532448400135255220980 John counted 4 dollar bills and 384 pennies. To the nearest dollar, how much money did John count? 3552825173990QUESTION SET B- Operations and Algebraic Thinking (30-35 % of EOG)444055510604500-55245207390900-3028952140585-4267209271047358309271097917060324001238250165735-361957238900Sally ran 2 miles each day for 4 days. Then she ran 3 miles each day for the next 4 days. How many miles did Sally run altogether in the 8 days? -36195241304535805140970413575516954500-331470140970 Anna spent $7 on pencils. How many pencils did Anny buy? 37147515875414147022479000-266704825900Which value for N makes the equation correct? 288226514351000 N ÷ 7 = 9 209553810 Pam’s grandparents pay Pam to help them each week.They pay her $12 each week to mow their yard.They pay her $2 each week to wash their dog. Which expression shows how much Pam’s grandparents will pay in 7 weeks? A. (12 + 7) + (12 x 2) B. (2 x 7) + (12 x 2)C. (12 x 7) + (2 x 7)D. (12 + 7) x (2 + 7)QUESTION SET C- Number and Operations-Fractions (20-25% of EOG)463105411430005307330182880-38862030480-455295020827900There are 8 children on the playground. One-fourth of the children are on the swings. In which fraction model does the shaded part represent the children who are on the swings? A.B.C.D.4107180278320538023793608070004326254-19050038023792607945003802380260794400-379095360806900-5505453446145-302895169545 -504825-246380A.PotatoesCornCarrotsB.PotatoesCarrotsCorn C.CornPotatoesCarrotsD.PotatoesCornCarrots472567038735000QUESTION SET D -Measurement and Data (22-27% of EOG)-264795284924400-6172202944495475488058420-493395153670How can the area of the playground be calculated? A. (10 x 6) + (4 x 5) B. (10 x 10) – (5 x 5)C. (6 x 10) + (5 x 10)D. (6 x 10) + (10 x 4)3907154-1905003352801981203352801847850What is the area of this figure? How much did the lime and the orange weigh? A. 20 gram B. 60 grams C. 90 grams D. 150 grams4716780249555A.39071556153140010096526860400Third graders recorded their birthday months. Which graph show more students were born inJuly than May? 114307620A school table has 8 sides of equal lengths. If one side measures 4 feet, what is the perimeter of the table? A. 32 feet B. 12 feet C. 16 feet D. 24 feet Question Set AA. TrapezoidD. All four polygons are quadrilateralsA. 1/325908060960B. D. 2/6B. 197B. 450A. 346D. $8Question Set BC. 54D. 27C. 20A. 72A. Add 13A. 6 x 3B. 63D. 21C. (12 + 7) x (2 + 7)Question Set CC. RD. 4/4B . A. 1/4C. 2/3C. 5/8A. PotatoesCornCarrotsQuestion Set DC. 35 feetC. 3:50 and 4:20A. (10 x 6) + (4 x 5)B. 9 square cmGraph 2D. 150 grams ................
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