OKALOOSA COUNTY SCHOOL DISTRICT MATH CURRICULUM GUIDE Third Grade Office of Quality Assurance and Curriculum Support Guyla Hendricks, Chief Officer Okaloosa County School District Curriculum Guide for Math CONTENTS Mission Statement ...........................................................................................................................................................................................................3 Suggestions for Implementing Curriculum Guides ..................................................................................................................................................3 Florida Department of Education ∞ Office of Math and Science Essential Websites .................................................................................4 OCSD Curriculum and Pacing Guide ∞ Overview ..............................................................................................................................................4 Cognitive Complexity/Depth of Knowledge Rating for Mathematics ...................................................................................................................5 Grade 3 General Content Limits...............................................................................................................................................................................7 Quarterly Benchmarks....................................................................................................................................................................................................8 Grade-level Curriculum Guide ................................................................................................................................................................................... 10 Quarter 1 ..............................................................................................................................................................................................10 Quarter 2 ..............................................................................................................................................................................................15 Quarter 3 ..............................................................................................................................................................................................18 Quarter 4 ..............................................................................................................................................................................................27 Math Resources Guide................................................................................................................................................................................................ 28 Go Math! Online Math Concept Readers ................................................................................................................................................................ 29 Literature Connection Chart ....................................................................................................................................................................................... 31 REV 062012 Third Grade Math Page 2 Okaloosa County School District Curriculum Guide for Math Mission Statement Develop the highest quality math instruction to maximize student achievement through alignment of grade-level benchmarks to appropriate instructional practices, materials, resources, and pacing. Suggestions for Implementing Curriculum Guides The role of the teacher is to: Teach students the Next Generation Standards as dictated by state law for their grade -level. Provide learning-rich classroom activities that teach the benchmarks in depth. Enhance the curriculum by using resources and instructional technology. Differentiate instruction by varying methods of instruction and frequently offering relevant lab activities. Regularly administer assessment to include higher-level questions, and performance task assessment. In addition, teachers should: Collaborate with other grade-level teachers to maximize school resources and teacher expertise. Consult with other grade-levels to define absolute skill goals for each grade-level. Document questions and suggestions for improvement of the curriculum Guide. Integrate science into math and reading curriculum. Consider applying for a grant to support project-based learning for their school. Visit the Okaloosa Math Central Website at: http://www.okaloosa.k12.fl.us/math Days allotted to each benchmark are approximate and have been suggested based on the level of the complexity of the benchmark . To insure benchmarks are taught to mastery and completed by the conclusion of the school year, it is recommended that teachers not veer significantly from the suggested pacing. REV 062012 Third Grade Math Page 3 Okaloosa County School District Curriculum Guide for Math Florida Department of Education ∞ Office of Math and Science Essential Websites Next Generation Sunshine State Standards: http://www.fldoestem.org/uploads/1/docs/2007_FL_Mathematics_Standards_9_13_07.pdf Searchable Next Generation Sunshine State Standards Database: http://www.floridastandards.org/index.aspx Printable Downloads of Next Generation Sunshine State Standards with or without remarks: http://www.floridastandards.org/downloads.aspx Math Benchmark Specifications: http://fcat.fldoe.org/pdf/specifications/MathGrades3-5.pdf OCSD Curriculum and Pacing Guide ∞ Overview This document provides a math curriculum and pacing guide. It is designed to help teachers to efficiently pace the delivery o f quality instruction for each nine-week period. Purpose: This guide was created by a team of grade-level teachers to correlate to the Next Generation Standards with the goal of providing teachers ready access to resources for teaching those new standards and a pace for accomplishing benchmark mastery. Description: The OCSD Math Curriculum Guide specifies the math content to be covered within each nine-week instructional period. Their guide identifies Next Generation Standards (NGS) Benchmarks. Furthermore, it allows teachers to input information specific to their students or sch ool needs. Top Block – Big Idea and Essential Questions Identifies the Big Idea and the components of the Big Idea Lists the Essential Questions addressed in the section’s Benchmarks. Column One – Benchmark/Text Alignment Lists the specific Benchmark by number and states the Benchmark. Cites the Harcourt Textbook chapters that correlate to the Benchmark. Column Two – FCAT Info Serves as a placeholder for future FCAT information; to include content limits, assessment status, and crosswalk correlation. Column Three – Additional Resources/Activities Suggests instructional activities, including media (DVD/Video/CD), websites, and student involvement tasks. REV 062012 Third Grade Math Page 4 Okaloosa County School District Curriculum Guide for Math Column Four – Literacy Connection/Vocabulary/Reading Lists vocabulary terms, and books or stories connected to the Benchmark goals. Column Five – Open: Specific to Teacher/Grade/Subject/School Serves as a placeholder for teachers to add information that is specific to their school’s or student’s needs. NOTE: Addendums to this curriculum guide, as well as additional information/forms will be posted a t http://www.okaloosaschools.com/?q=employees/admin-curriculum-guides Cognitive Complexity/Depth of Knowledge Rating for Mathematics Florida’s revised mathematics standards emphasize teaching and learning the most important K-12 mathematics concepts in depth at each grade level. After adoption of the new math standards, the Florida Center for Research in Science, Technology, Engineering and Mathematics (FCR-STEM) at Florida State University convened a group of Florida math teachers, district math supervisors, and math education faculty to rate the cognitive demand of each benchmark. Meeting in teams for each body of knowledge, they reviewed and discussed each benchmark, then reached consensus on level of cognitive complexity using a classification system adapted from the “depth of knowledge” system developed by Dr. Norman Webb at the Uni versity of Wisconsin. Cognitive complexity refers to the cognitive demand of tasks associated with the benchmark. The depth of knowledge levels (Webb, 1999) reflect the relative complexity of thinking that a given benchmark demands of students — what it requires the student to recall, understand, analyze, and do. Florida’s depth of knowledge rating system focuses on expectations of students at three levels: Low Complexity This category relies heavily on the recall and recognition of previously learned concepts and principles. Items typically spe cify what the student is to do, which is often to carry out some procedure that can be performed mechanically. It is not left to the student to come up with a low complexity original method or solution. Skills required to respond to low complexity items include solving a one-step problem; computing a sum, difference, product, or quotient; evaluating a variable expression, given specific values for the variables; recognizing or constructing an equivalent representation; recalling or recognizing a fact, term, or property; retrieving information from a graph, table, or figure; identifying appropriate units or tools for common measurements; or performing a single-unit conversion. Moderate Complexity Items in the moderate complexity category involve more flexible thinking and choice among alternatives than low complexity items. They require a response that goes beyond the habitual, is not specified, and ordinarily has more than a single step. The student is expected to decide what to do—using informal REV 062012 Third Grade Math Page 5 Okaloosa County School District Curriculum Guide for Math methods of reasoning and problem-solving strategies—and to bring together skill and knowledge from various domains. Skills required to respond to moderate complexity items include solving a problem requiring multiple operations; solving a problem involving spatial visualization and/or reasoning; selecting and/or using different representations, depending on situation and purpose; retrieving information from a graph, table, or figure and using it to solve a problem; determining a reasonable estimate; extending an algebraic or geometric pattern; providing a justification for steps in a solution process; comparing figures or statements; representing a situation mathematically in more than one way; or formulating a routine problem, given data and conditions. High Complexity High complexity items make heavy demands on student thinking. Students must engage in more abstract reasoning, planning, anal ysis, judgment, and creative thought. The high-complexity item requires that the student think in an abstract and sophisticated way. Skills required to respond correctly to high complexity items include performing a procedure having multiple steps and multiple decision points; solving a non-routine problem (as determined by grade-level appropriateness); solving a problem in more than one way; describing how different representations can be used for different purposes; generalizing an algebraic or geometric pattern; explaining and justifying a solution to a problem; describing, comparing, and contrasting solution methods; providing a mathematical justification; analyzing similarities and differences between procedures and concepts; formulating an original problem, given a situation; formulating a mathematical model for a complex situation; or analyzing or producing a deductive argument . REV 062012 Third Grade Math Page 6 Okaloosa County School District Curriculum Guide for Math Grade 3 General Content Limits The content limits described below are applicable to all items developed for Grade 3; however, the content limits defined in the individual benchmark specifications can supersede these general content limits. Whole numbers • Items should not require the use of more than two operations. • Place values should range from ones through hundred thousands. Addition Items should not exceed three 5-digit addends or two 6-digit addends. Subtraction • Subtrahends cannot exceed 999,999. • Minuends and differences should not exceed five digits. Multiplication • Items may include whole-number multiplication facts from 0 X 0 through 9 X 9. • Multiples of 10 through 100, multiples of 100 through 1,000, and multiples of 50 through 500 may be used. Division Items may include the related division facts for 0 X 0 through 9 X 9. Decimals Decimal numbers are limited to amounts of money to the nearest cent. Addition, Subtraction, Multiplication, and Division Not assessed at Grade 3. Fractions • Fractions should have denominators of 1–10, 12, or 16. • Items may include fractions and mixed numbers up to and including the whole number 5. Addition, Subtraction, Multiplication, and Division Not assessed at Grade 3. Percent Not assessed at Grade 3. Measurement • Items will not assess weight/mass, capacity, or temperature in isolation. • Time and linear measurement, including perimeter, will be assessed. • Items may use customary and/or metric units. REV 062012 Third Grade Math Page 7 Okaloosa County School District Curriculum Guide for Math Quarterly Benchmarks Assessments and Weighting: Practice (10%) – Timed Facts Quizzes, Teacher-made quizzes Progress Monitoring (50%) – Mid-chapter quizzes, Chapter Tests Summative (40%) – Benchmark Mini-Assessments, Grade Level Unit Tests, Big Idea Tests Each quarter shows when a concept or skill is introduced. It is understood that these skills and concepts would be ongoing th roughout the year. **The Benchmarks should be covered during the given quarter; however the days to cover each are approximate! Quarter 1 - Big Idea1 Benchmark Quarter 2 - Big Ideas 1 & 3 Description Benchmark ALL pre test and review MA.3.A.6.1 High 16-20 days Chapter 1 MA.3.A.6.2 High 10-12 days Chapter 2 MA.3.S.7.1 High Chapter 2 Represent, compute, estimate and solve problems using numbers through hundred thousands. Solve non-routine problems by making a table, chart, or list and searching for patterns. Create, analyze, and represent patterns and relationships using words, variables, tables and graphs. MA.3.A.1.1 Moderate 8-10 days Chapter 3 Model multiplication and division including problems presented in context: repeated addition, multiplicative comparison, array, how many combinations, measurement, and partitioning. REV 062012 MA.3.A.1.2 High 12-14 days Chapter 4 Solve multiplication and division fact problems by using strategies that result from applying number properties. MA.3.A.1.3 Moderate 16-20 days Chapter 5,6 Identify, describe, and apply division and multiplication as inverse operations. Represent fractions, including greater than one, using area, set and linear models. Construct and analyze frequency tables, bar graphs, pictographs, and line plots from data, including data collected through observations, surveys, and experiments. MA.3.A.4.1 High Chapter 2 Third Grade Math Description Describe how the size of the fractional part is related to the number of equal sized pieces in the whole. MA.3.A.2.1 Moderate 10-11 days Chapter 7 Compare and order fractions, including fractions greater than one, using models and strategies Use models to represent equivalent fractions, including fractions greater than one, and identify representations of equivalence. Page 8 Okaloosa County School District Curriculum Guide for Math Quarter 3 - Big Idea 2 Benchmark Quarter 4 - Flexible Grouping Description Benchmark MA.3.A.2.2 Moderate 8-9 days Chapter 8 Describe how the size of the fractional part is related to the number of equal sized pieces in the whole. MA.3.A.2.3 Moderate Chapter 8 Compare and order fractions, including fractions greater than one, using models and strategies MA.3.A.2.4 Moderate Chapter 8 Use models to represent equivalent fractions, including fractions greater than one, and identify representations of equivalence. MA.3.G.3.1 Moderate 8-10 days Chapter 9 Describe, analyze, compare and classify two-dimensional shapes using sides and angles – including acute, obtuse, and right angles – and connect these ideas to the definition of shapes. MA.3.G.5.1 High 8-10 days Chapter 11 MA.3.G.3.2 High 10-12 days Chapter 10 Compose, decompose, and transform polygons to make other polygons, including concave and convex polygons with three, four, five, six, eight, or ten sides. MA.3.G.5.2 Low Chapter 11 MA.3.G.3.3 Moderate Chapter 10 Build, draw and analyze two-dimensional shapes from several orientations in order to examining and apply congruence and symmetry. REV 062012 Big Idea 1 Review Develop understandings of multiplication and division and strategies for basic multiplication facts and related division facts Big Idea 2 Review Develop an understanding of fractions and fraction equivalence. Big Idea 3 Review MA.3.G.5.3 Moderate 8-9 days Chapter 12 Lesson 1-20 Getting Ready for Grade 4 Florida Benchmark Practice Book P327- P373 Third Grade Math Description / Introducing 4 th Grade Standards Describe and analyze properties of two-dimensional shapes. Select appropriate units, strategies and tools to solve problems involving perimeter. Measure objects using fractional parts of linear units such as ½, ¼, and 0.1. Tell time to the nearest minute and to the nearest quarter hour, and determine the amount of time elapsed.(Emphasize elapsed time) Page 9 Okaloosa County School District Curriculum Guide for Math Grade-level Curriculum Guide Quarter 1 Supporting Idea: Number and Operations Essential Questions: Can students read, write, and identify numbers through hundred thousand? How can you use estimation strategies to determine a reasonable estimate? Can students use different strategies to add/subtract 3 to 6 digit numbers? Benchm ark Text Alignm ent MA.3.A.6.1 Represent, compute, estimate and solve problems using numbers through hundred thousand. Text: Chapter 1 CCS Mathematical Practices: Attend to precision Look for and make use of structure FCAT Info Content lim its Item specs High complexity Numbers may be represented flexibly; for example: 947 can be thought of as 9 hundreds, 4 tens, and 7 ones; 94 tens and 7 ones; or 8 hundreds, 14 tens, and 7 ones. Students won’t be expected to name, or be restricted to using a specific strategy. Front-end estimation won’t be an acceptable estimation strategy. Decimals used in the context of money that estimates to a whole dollar. REV 062012 Additional Resources/Activities; Form ative Assessm ents Instructional focus should be placed on estimation through mental computation prior to written calculations. http://www.floridastandards.org/Standards/PublicPreviewBen chmark547.aspx The MegaPenny Project Popcorn Math Sample Item 1: Online resources: https://www-k6.thinkcentral.com http://teachers.net/lessons/posts/1247.htm Idea with a “How many jar” www.brainpop.com Estimating, rounding Formative Assessments: What’s My Number? http://www.floridastandards.org/Resources/PublicPrevie wResource13291.aspx Place Value Word Problems http://www.floridastandards.org/Resources/PublicPrevie wResource13077.aspx Number Models http://www.floridastandards.org/Resources/PublicPrevie wResource13292.aspx Boxing Up Belts http://www.floridastandards.org/Resources/PublicPrevie wResource13089.aspx Third Grade Math Lit. Connection Vocabulary / Reading Open: Specific to teacher, grade, subject Vocabulary: expanded form standard form word form compatible numbers estimate round place value addend difference strategies properties How Much Is a Million? by David Schwartz (place value or centimeters) Betcha! by Stuart Murphy (estimating) A Place for Zero by Angeline S. LoPresti (place value) Among the Odds and Evens by Stuart Murphy (number sense) LITERATURE INCLUDED IN THE GRAB AND GO DIFFERENTIATED CENTERS KIT A Nose for News and Number So Many Seashells! Page 10 Okaloosa County School District Curriculum Guide for Math Supporting Idea: Number and Operations Essential Questions: What are ways you can collect and organize information? How can making a pictograph or table help you solve problems? How do you read the lines on graphs if the space (object) equals more than 1? Benchm ark Text Alignm ent MA.3.A.6.2 Solve non-routine problems by making a table, chart, or list and searching for patterns. CCS Mathematical Practices: Model with mathematics Text: Chapter 2 REV 062012 FCAT Info Content lim its Item specs High complexity Items should require students to solve non-routine problems and not align with the clarifications of MA.3.A.4.1 (extending a graphic pattern or identifying a simple relationship [rule] for a pattern). Additional Resources/Activities Form ative Assessm ents http://www.floridastandards.org/Standards/PublicPreviewBen chmark548.aspx Bead-dazzling; Algebraic Thinking Math Project Mix It Up - Algebraic Thinking Math Project Perfect Patterns Sample Item 1: Online resources: https://www-k6.thinkcentral.com http://alex.state.al.us/lesson_view.php?id=5599 Lesson on finding a pattern using literature Formative Assessments: Movie Combinations http://www.floridastandards.org/Resources/PublicPreview Resource13295.aspx Call Times http://www.floridastandards.org/Resources/PublicPreview Resource13092.aspx Double the Money http://www.floridastandards.org/Resources/PublicPreview Resource13091.aspx Crawling Snail http://www.floridastandards.org/Resources/PublicPreview Resource13090.aspx Third Grade Math Lit. Connection Vocabulary / Reading Open: Specific to teacher, grade, subject Vocabulary: data experiment frequency table results survey bar graph horizontal bar graph key line plot pictograph scale tally table Six Dinner Sid by Inga Moore (patterns) LITERATURE INCLUDED IN THE GRAB AND GO DIFFERENTIATED CENTERS KIT Diego’s Perfect Fit The Class Trip Page 11 Okaloosa County School District Curriculum Guide for Math Supporting Idea: Data Analysis Essential Questions: What are the different parts of a graph or table? How can information from different types of graphs (pictograph, line, bar…) be compared? How can specific data be collected and how can this data be represented? Benchm ark Text Alignm ent MA.3.S.7.1 Construct and analyze frequency tables, bar graphs, pictographs, and line plots from data, including data collected through observations, surveys, and experiments. Text : Chapter 2 CCS Mathematical Practices: Model with mathematics Reason abstractly and quantitatively REV 062012 FCAT Info Content lim its Item specs High complexity Items may require the student to choose the most appropriate data display given a set of data from observations, surveys, and/or experiments. Items may assess identifying parts of a correct graph and recognizing the appropriate scale. The increments used on the scale/pictograph are limited to units of 1, 2, 5, 10, 50, or 100. Additional Resources/Activities Form ative Assessm ents Use of addition, subtraction, multiplication, and division of whole numbers should be included during this process. http://www.floridastandards.org/Standards/PublicPreviewBen chmark549.aspx Food Court: The Soup Spot M & M Lab Graphing Trash Material Money Matters KidsZone: Create a Graph Information Represented Graphically: What's the Weather? All About Multiplication Exploring Equal Sets Sample Item 1: Online resources: https://www-k6.thinkcentral.com http://illuminations.nctm.org/LessonDetail.aspx?ID=L351 Online activities and lesson for tallying veggies Lit. Connection Vocabulary / Reading Open: Specific to teacher, grade, subject Vocabulary: most least The Best Vacation Ever by Stuart Murphy (collecting data) Lemonade for Sale by Stuart Murphy (bar graphs) LITERATURE INCLUDED IN THE GRAB AND GO DIFFERENTIATED CENTERS KIT Diego’s Perfect Fit The Class Trip Formative Assessments: Movie Types http://www.floridastandards.org/Resources/PublicPrevie wResource13334.aspx Compare Temperatures http://www.floridastandards.org/Resources/PublicPrevie wResource13112.aspx Lollipop Data http://www.floridastandards.org/Resources/PublicPrevie wResource13109.aspx Represent the Survey http://www.floridastandards.org/Resources/PublicPrevie wResource13108.aspx Third Grade Math Page 12 Okaloosa County School District Curriculum Guide for Math Supporting Idea: Algebra Essential Questions: What models are geared toward analyzing a specific number pattern or relationship? How are using variables for missing addends helpful in understanding relationships? How can making a table help you solve a problem? Benchm ark Text Alignm ent MA.3.A.4.1 Create, analyze, and represent patterns and relationships using words, variables, tables and graphs Text : Chapter 2 CCS Mathematical Practices: Model with mathematics Reason abstractly and quantitatively FCAT Info Content lim its Item specs High complexity Items may use numeric patterns, graphic patterns, function tables, or graphs (bar graphs, pictographs, or line plots only). Function rules or relationships may be described using words, tables, graphs, or expressions using variables or geometric shapes (e.g., n, , ); however, the intent of the benchmark is not to assess solving equations. Additional Resources/Activities Form ative Assessm ents http://www.floridastandards.org/Standards/PublicPreviewBen chmark543.aspx Mix It Up - Algebraic Thinking Math Project Creating, Describing, and Analyzing Patterns Sample Item 1: Online resources: https://www-k6.thinkcentral.com www.brainpop.com Graphs, problem solving using tables, equations and variables Formative Assessments: Pattern Math http://www.floridastandards.org/Resources/PublicPreview Resource13315.aspx Decreasing Lunch Account http://www.floridastandards.org/Resources/PublicPreview Resource13075.aspx Movie Rental Pattern http://www.floridastandards.org/Resources/PublicPreview Resource13074.aspx Lit. Connection Vocabulary / Reading Open: Specific to teacher, grade, subject Vocabulary: variable pictograph line plot expression data frequency table key results scale scaled picture graph scaled bar graph survey table tally tally table experiment bar graph horizontal bar graph vertical bar graph How Tall How Short How Far Away by David A. Adler (length/data analysis) Lemonade for Sale by Stuart J. Murphy (data analysis) One Grain of Rice by Demi (factors/data analysis) LITERATURE INCLUDED IN THE GRAB AND GO DIFFERENTIATED CENTERS KIT Diego’s Perfect Fit The Class Trip REV 062012 Third Grade Math Page 13 Okaloosa County School District Curriculum Guide for Math Big Idea 1: Develop understandings of multiplication and division and strategies for basic multiplication facts and related division fact s. Essential Questions: How does the union of equal sets show multiplication? How does the area model provide meaning for multiplication? How does an array show multiplication? How does repeated addition provide meaning fro multiplication? Benchm ark Text Alignm ent M.A.3.A.1.1 Model multiplication and division including problems presented in context: repeated addition, multiplicative comparison, array, how many combinations, measurement, and partitioning. Text: Chapters 3 CCS Mathematical Practices: Attend to precision Look for and make use of structure Model with mathematics REV 062012 FCAT Info Content lim its Item specs Moderate complexity Items may include whole-number multiplication facts from 0X0 through 9 X 9 and the related division facts. Items may include division problems with remainders expressed only as whole numbers. Items will not require interpretation of the remainder. Additional Resources/Activities Form ative Assessm ents Lit. Connection Vocabulary / Reading http://www.floridastandards.org/Standards/PublicPreviewBen chmark533.aspx Introduction to Division Concentration Number Line Bars Animal Legs (multiply using repeated addition) All About Multiplication: Modeling Multiplication with Rows and Columns Sample Item 1: Vocabulary: equal groups multiply factor product array commutative identity Zero Property of Multiplication Commutative Property of Multiplication Identity Property of Multiplication What Comes in 2’s, 3’s, and 4’s by Suzanne Aker Anno’s Mysterious Counting Jar by Mitsumasa & Masaichiro Anno Two Ways to Count to Ten by Ruby Dee Each Orange Had Eight Slices by Paul Giganti One Hundred Hungry Ants by Elinor Pinczes The Doorbell Rang, by Pat Hutchins LITERATURE INCLUDED IN THE GRAB AND GO DIFFERENTIATED CENTERS KIT Collections Times Four The Workshop Online resources: https://www-k6.thinkcentral.com http://www.learner.org/resources/series171.html www.brainpop.com multiplication, division Formative Assessments: Watermelon Math 3 http://www.floridastandards.org/Resources/PublicPrevie wResource13314.aspx Watermelon Math 2 http://www.floridastandards.org/Resources/PublicPrevie wResource13312.aspx Watermelon Math 1 http://www.floridastandards.org/Resources/PublicPrevie wResource13310.aspx Johnny’s Cars http://www.floridastandards.org/Resources/PublicPrevie wResource13271.aspx Calculating Crayons http://www.floridastandards.org/Resources/PublicPrevie wResource13270.aspx Third Grade Math Open: Specific to teacher, grade, subject Page 14 Okaloosa County School District Curriculum Guide for Math Quarter 2 Big Idea 1: Develop understandings of multiplication and division and strategies for basic multiplication facts and related division fact s. Essential Questions: How can you prove representations of equations or expressions are equivalent? (Ex: Pr ove (3x5) +4 is equivalent to 4 + (5x3) What patterns help you multiply with the factors 8-10? Benchm ark Text Alignm ent MA.3.A.1.2 Solve multiplication and division fact problems by using strategies that result from applying number properties. Text: Chapter 4 CCS Mathematical Practices: Make sense of problems and persevere in solving them Construct viable arguments and critique the reasoning of others REV 062012 FCAT Info Content lim its Item specs High Complexity Items not included: identifying the properties by name; the use of more than two properties to convert one expression or equation to its equivalent. Items may include only factors or divisors of 0 through 9. Additional Resources/Activities Form ative Assessm ents The use of multiple strategies might incorporate number properties for both multiplication and division including the commutative property, associative property, distributive property, and the identity property. The zero property of multiplication may also be used to solve problems. http://www.floridastandards.org/Standards/PublicPreviewBen chmark534.aspx All About Multiplication: Hopping on the Number Line Sample Item 1: Online resources: https://www-k6.thinkcentral.com http://www.arcytech.org/java/integers/index.html Online integer bars www.brainpop.com Distributive property, associative property, communicative property Formative Assessment: Multiplication Properties http://www.floridastandards.org/Resources/PublicPr eviewResource12772.aspx Third Grade Math Lit. Connection Vocabulary / Reading Open: Specific to teacher, grade, subject Associate Property of Multiplication Combination Distributive Property of Multiplication Multiple Tree diagram Variable Divide and Ride by Stuart Murphy A Remainder of One by Elinor Pinczes Too Many Kangaroo Things to Do by Stuart Murphy LITERATURE INCLUDED IN THE GRAB AND GO DIFFERENTIATED CENTERS KIT Collections Times Four The Workshop Page 15 Okaloosa County School District Curriculum Guide for Math Big Idea 1: Develop understandings of multiplication and division and strategies for basic multiplication facts and related division fact s. Essential Question: How does the inverse relationship of multiplication and division help with identifying fact families? How can you use arrays and other manipulatives to solve problems? Can students list different strategies to divide by 3-9? Benchm ark Text Alignm ent MA.3.A.1.3 Identify, describe, and apply division and multiplication as inverse operations. Text: Chapters 5, 6 CCS Mathematical Practices: Attend to precision Look for and make use of structure Model with mathematics FCAT Info Content lim its Item specs Moderate complexity Items may include whole-number multiplication facts from 0 X 0 through 9 X 9 and the related division facts. Items will not include identifying the inverse property by name. Additional Resources/Activities Form ative Assessm ents http://www.floridastandards.org/Standards/PublicPreviewBenc hmark535.aspx Number Line Bars Sample Item 1: Online resources: https://www-k6.thinkcentral.com http://illuminations.nctm.org/LessonDetail.aspx?id=L170 Online lesson idea - Using data to complete an organized chart by doubling or halving numbers Formative Assessments: Building Inverses http://www.floridastandards.org/Resources/PublicPreviewR esource12805.aspx Inverse Operations http://www.floridastandards.org/Resources/PublicPreviewR esource12804.aspx Lit. Connection Vocabulary / Reading Open: Specific to teacher, grade, subject Vocabulary: Divide Divided Divisor Fact fam ily Inverse operations Quotient Factor Multiply Product Rem ainder The Doorbell Rang by Pat Hutchins (multiplication/division) LITERATURE INCLUDED IN THE GRAB AND GO DIFFERENTIATED CENTERS KIT Corey’s Cookie Caper The Homework Table Francisco’s Football Practice Lost! REV 062012 Third Grade Math Page 16 Okaloosa County School District Curriculum Guide for Math Big Idea 2: Develop an understanding of fractions and fraction equivalence. Essential Questions: When do you use fractions greater than 1? How can you show a fraction as part of a group? How can you use a fraction to find a part of a group? Benchm ark Text Alignm ent MA.3.A.2.1 Represent fractions, including fractions greater than one, using area, set and linear models. Text : Chapter 7 CCS Mathematical Practices: Model with mathematics Use appropriate tools strategically Look for and make use of structure FCAT Info Content lim its Item specs Moderate complexity Linear models may include number lines and fraction strips. Items may include fractions and mixed numbers up to and including the whole number 5. Items may include fractions with denominators from 1 through 10, 12, or 16. Additional Resources/Activities Form ative Assessm ents http://www.floridastandards.org/Standards/PublicPreviewB enchmark536.aspx Fun with Fractions: Investigating Fraction Relationships with Relationship Rods Fun with Fractions: Eggsactly with a Dozen Eggs Parts of a Whole Number Line Bars Equivalent Fractions Sample Item 1: Online resources: https://www-k6.thinkcentral.com www.brainpop.com Converting fractions to decimals Area models: circular shapes, rectangular shapes, or unusual shapes Set models: groups of objects such as counters Linear models: number line and fraction strips Formative Assessments: Ice Cream http://www.floridastandards.org/Resources/PublicPrevie wResource13282.aspx Tyrone’s Eggs http://www.floridastandards.org/Resources/PublicPrevie wResource13280.aspx Brownies http://www.floridastandards.org/Resources/PublicPrevie wResource13278.aspx Multiple Representations of 2 ¼ http://www.floridastandards.org/Resources/PublicPrevie wResource13064.aspx Multiple Representations of 2/3 http://www.floridastandards.org/Resources/PublicPrevie wResource13062.aspx REV 062012 Third Grade Math Lit. Connection Vocabulary / Reading Open: Specific to teacher, grade, subject Vocabulary: equal parts halves thirds fourths sixths eighths fraction unit fraction numerator denominator mixed number partition(ed) equal distance (intervals) equivalence, equivalent reasonable, justify Gator Pie by Louise Matthews (fractions) LITERATURE INCLUDED IN THE GRAB AND GO DIFFERENTIATED CENTERS KIT Pizza Parts! A Piece of Cake! Page 17 Okaloosa County School District Curriculum Guide for Math Chocolate Cakes http://www.floridastandards.org/Resources/PublicPrevie wResource13279.aspx Quarter 3 Big Idea 2: Develop an understanding of fractions and fraction equivalence. Essential Question: How does the number of fraction parts relate to the size of each part? Benchm ark Text Alignm ent MA.3.A.2.2 Describe how the size of the fractional part is related to the number of equal sized pieces in the whole. Text : Chapter 8 CCS Mathematical Practices: Reason abstractly and quantitatively Construct viable arguments and critique the reasoning of others REV 062012 FCAT Info Content lim its Item specs Moderate complexity Additional Resources/Activities Form ative Assessm ents http://www.floridastandards.org/Standards/PublicPreviewBenc hmark537.aspx?kw= Fun with Fractions: Eggsactly with a Dozen Eggs Parts of a Whole Fraction Model III Online resources: http://illuminations.nctm.org/LessonDetail.aspx?ID=L542 Exploring fractions with relationship rods http://illuminations.nctm.org/lessonDetail.aspx?ID=L540 Lesson on making and investigating fraction strips www.math.rice/edu/~lanius/fractions/index.html www.visualfractions.com www.brainpop.com Adding and subtracting fractions Formative Assessments: Birthday Fun http://www.floridastandards.org/Resources/PublicPreviewR esource13285.aspx Painting Walls http://www.floridastandards.org/Resources/PublicPreviewR esource13283.aspx ¼ of a Ruler vs. Yardstick http://www.floridastandards.org/Resources/PublicPreviewR esource13065.aspx Third Grade Math Lit. Connection Vocabulary / Reading Open: Specific to teacher, grade, subject Vocabulary: Benchmark Benchmark numbers Compare Equivalent fractions Greater than Less than Hershey Fraction Book by J. Pallotta Jump, Kanagroo, Jump! by Stuart Murphy (fractions) LITERATURE INCLUDED IN THE GRAB AND GO DIFFERENTIATED CENTERS KIT Measure Up The Whole Picture Page 18 Okaloosa County School District Curriculum Guide for Math Big Idea 2: Develop an understanding of fractions and fraction equivalence. Essential Questions: How do you compare fractions by using manipulatives? How do you compare fractions, including fractions greater than one, by using strategies? How does the number of fraction parts relate to the size of each part? How do you order fractions less than and greater than one? Benchm ark Text Alignm ent MA.3.A.2.3 Compare and order fractions, including fractions greater than one, using models and strategies. Text: Chapter 8 CCS Mathematical Practices: Reason abstractly and quantitatively Model with mathematics Use appropriate tools strategically FCAT Info Content lim its Item specs Moderate complexity Denominators of fractions must be 1 through 10, 12, or 16. Items may include fractions and mixed numbers up to and including the whole number 5. Items may include only the inequality symbols, < and >. Additional Resources/Activities Form ative Assessm ents http://www.floridastandards.org/Standards/PublicPreviewBen chmark538.aspx?kw Fun with Fractions: More Fun with Fraction Strips Fraction Circle Worksheet Sample Item 1: Online resources: https://www-k6.thinkcentral.com www.pbs.org/teachers/mathline/concepts/farmingandgard ening/activity1.shtm Lesson plan using plotting a garden using fractions www.brainpop.com Mixed numbers Strategies include using benchmark fractions (0, 1/2, and 1) and common numerators and denominators. Fractions can also be compared by looking at numerators, such as when comparing 2/5 and 2/6. Since both fractions represent two parts of a whole, the size of the parts can be compared. Fifths are larger than sixths so 2/5 is greater than 2/6. Lit. Connection Vocabulary / Reading Open: Specific to teacher, grade, subject Vocabulary: benchmark Benchmark numbers Compare Equivalent fractions Greater than Less than Apple Fractions by Jerry Pallotta (fractions, parts of a whole) LITERATURE INCLUDED IN THE GRAB AND GO DIFFERENTIATED CENTERS KIT Measure Up The Whole Picture Formative Assessment: Line it Up http://www.floridastandards.org/Resources/PublicPreview Resource13289.aspx Compare Fractions http://www.floridastandards.org/Resources/PublicPreview Resource13067.aspx Rank the Basketball Players http://www.floridastandards.org/Resources/PublicPreview Resource13066.aspx REV 062012 Third Grade Math Page 19 Okaloosa County School District Curriculum Guide for Math Big Idea 2: Develop an understanding of fractions and fraction equivalence. Essential Questions: How can you find equivalent fractions by paper folding? How can you use models to name equivalent fractions, including fractions greater than one? Benchm ark Text Alignm ent MA.3.A.2.4 Use models to represent equivalent fractions, including fractions greater than one and identify representations of equivalence Text: Chapter 8 CCS Mathematical Practices: Reason abstractly and quantitatively Model with mathematics REV 062012 FCAT Info Content lim its Item specs Moderate complexity Denominators of fractions must be 1 through 10, 12, or 16. Items may include fractions and mixed numbers up to and including the whole number 5. Additional Resources/Activities Form ative Assessm ents http://www.floridastandards.org/Standards/PublicPreviewBen chmark539.aspx?kw= Equivalent Fractions: introduction to equivalent fractions Equivalent Fractions: Identify and label proper fractions Fraction Action Sample Item 1: Online resources: https://www-k6.thinkcentral.com http://alex.state.al.us/lesson_view.php?id=11299 Lesson idea for teaching equivalent fractions http://www.funbrain.com/funbrain/fract/index.html Online game comparing and simplifying fractions Lit. Connection Vocabulary / Reading Open: Specific to teacher, grade, subject A Cloak for the Dreamer by Aileen Friedman LITERATURE INCLUDED IN THE GRAB AND GO DIFFERENTIATED CENTERS KIT Measure Up The Whole Picture Formative Assessments: Who Ate More Pie? http://www.floridastandards.org/Resources/PublicPreview Resource13073.aspx Shade the Circles http://www.floridastandards.org/Resources/PublicPreview Resource13069.aspx Third Grade Math Page 20 Okaloosa County School District Curriculum Guide for Math Big Idea 3: Describe and analyze properties of two-dimensional shapes. Essential Questions: How do you describe, classify polygons/angels? What are some properties of two-dimensional shapes? How can you tell whether a plane shape is or is not a polygon? Benchm ark Text Alignm ent MA.3.G.3.1 Describe, analyze, compare and classify two-dimensional shapes using sides and angles -- including acute, obtuse, and right angles-and connect these ideas to the definition of shapes Text: Chapter 9 CCS Mathematical Practices: Make sense of problems and persevere in solving them Reason abstractly and quantitatively FCAT Info Content lim its Item specs Moderate complexity Items may include regular and irregular polygons with 3-10 sides. Items may assess the specific names of polygons with 3, 4, 5, 6, 8, or 10 sides and the following terms: regular and irregular polygons, lines and line segments (parallel and perpendicular), diagonals, and vertices (vertex). Additional Resources/Activities Form ative Assessm ents http://w ww.floridastandards.org/Standards/PublicPreview Benchmark 540.aspx Lit. Connection Vocabulary / Reading Open: Specific to teacher, grade, subject Vocabulary: plane shape right angle point acute angle line obtuse angle line segment straight angle ray intersecting lines Polygonal shapes can be classified by the number of sides. angle perpendicular lines For example, quadrilaterals are polygons with four sides. vertex parallel lines Quadrilaterals can be further classified by other properties, two-dimensional shapes such as the number of parallel pairs of sides (none, one pair closed shape equilateral triangle or two pair). In the case of two pair of parallel sides, we call it open shape isosceles triangle a parallelogram. polygon side scalene triangle triangle right triangle Angles are classified by comparing them to a right angle as equilateral obtuse triangle a benchmark. pentagon acute triangle diagonal hexagon rhombus octagon trapezoid Online resources: decagon parallelogram https://www-k6.thinkcentral.com polygon www.brainpop.com Geometry, polygons, measuring angles, similar triangles, The Greedy Triangle by Marilyn types of triangles Burns (geometry, shapes) Formative Assessments: Geoboard Math Hamster Champs by S Murphy http://w ww.floridastandards.org/Resources/PublicPreview Resou Geometry in the World of Art: More Work with Shapes Angle Aerobics Sample Item 1: rce13318.aspx REV 062012 Triangles and Quadrilaterals http://w ww.floridastandards.org/Resources/PublicPreview Resou rce13317.aspx Bag of Shapes http://w ww.floridastandards.org/Resources/PublicPreview Resou rce13096.aspx Comparing Geometric Attributes LITERATURE INCLUDED IN THE GRAB AND GO DIFFERENTIATED CENTERS KIT Shape Detectives Let’s Go for a Walk http://w ww.floridastandards.org/Resources/PublicPreview Resou rce13093.aspx Third Grade Math Page 21 Okaloosa County School District Curriculum Guide for Math Big Idea 3: Describe and analyze properties of two-dimensional shapes. Essential Questions: How can you combine plane shapes to make new shapes? How can you separate plane shapes to make new shapes? Benchm ark Text Alignm ent MA.3.G.3.2 Compose, decompose, and transform polygons to make other polygons, including concave and convex with three, four, five, six, eight, or ten sides. Text: Chapter 10 CCS Mathematical Practices: Make sense of problems and persevere in solving them Construct viable arguments and critique the reasoning of others REV 062012 FCAT Info Content lim its Item specs High complexity Items may include concave or convex polygons with 3-10 sides. Items may include the use of transformations to create new polygons, but the transformation (i.e., rotations, translations, reflections, dilations) will not be assessed. Geometric terms will be used with common terminology set in parentheses, i.e., reflection (flip). Items may use the following terms: overlapping, combine, and polygon. Additional Resources/Activities Form ative Assessm ents http://www.floridastandards.org/Standards/PublicPreviewBen chmark541.aspx Shape Cutter Polygon Challenge Sample Item 1: Online resources: https://www-k6.thinkcentral.com http://www.coolmath.com/tesspag1.htm Lesson to demonstrate tessellations Lit. Connection Vocabulary / Reading Open: Specific to teacher, grade, subject Grandfather Tang’s Story by Ann Tompert (tangrams/shapes) LITERATURE INCLUDED IN THE GRAB AND GO DIFFERENTIATED CENTERS KIT Shape Detectives Let’s Go for a Walk Formative Assessments: Polygon Challenge http://www.floridastandards.org/Resources/PublicPreviewR esource13320.aspx Pattern Block Compositions http://www.floridastandards.org/Resources/PublicPreviewR esource13098.aspx Tangram Compositions http://www.floridastandards.org/Resources/PublicPreviewR esource13097.aspx Third Grade Math Page 22 Okaloosa County School District Curriculum Guide for Math Big Idea 3: Describe and analyze properties of two-dimensional shapes. Essential Questions: How can you identify two-dimensional congruent shapes, or shapes that have symmetry? How can you draw two-dimensional congruent shapes, or shapes with a line of symmetry? Benchm ark Text Alignm ent MA.3.G.3.3 Build, draw and analyze two-dimensional shapes from several orientations in order to examine and apply congruence and symmetry. Text: Chapter 10 CCS Mathematical Practices: Reason abstractly and quantitatively Model with mathematics FCAT Info Content lim its Item specs Moderate complexity Items should use the correct geometric term with common terminology set in parentheses, i.e., reflection (flip). Items may assess the following terms: symmetry, reflection, and/or congruent. Transformations may be used in graphics; however, the transformations needed to compose or decompose polygons (rotations, translations, dilations) will not be assessed. Additional Resources/Activities Form ative Assessm ents http://www.floridastandards.org/Standards/PublicPreviewBen chmark542.aspx Symmetry in Your World Geometry in the World of Art: Finding Lines of Symmetry Creating a Symmetrical Design Dynamic Paper (tool to print graph paper, number lines and grids, shapes, spinners, tessellations) Sample Item 1: Online Resources: https://www-k6.thinkcentral.com www.brainpop.com Transformations Formative Assessments: Symmetric and Congruent Shapes http://www.floridastandards.org/Resources/PublicPrevie wResource13325.aspx Congruent Figures and Symmetry http://www.floridastandards.org/Resources/PublicPrevie wResource13323.aspx Geoboard Symmetry http://www.floridastandards.org/Resources/PublicPrevie wResource13100.aspx Folding for Symmetry http://www.floridastandards.org/Resources/PublicPrevie wResource13099.aspx Lit. Connection Vocabulary / Reading Open: Specific to teacher, grade, subject Vocabulary: diagonal pattern unit repeating pattern growing pattern congruent symmetry line of symmetry attributes, properties, quadrilateral open figure, closed figure, three-sided 2-dimensional 3-dimensional Rhombi/rhombus Rectangles Squares Polygon Quilt of Dreams by Mindy Dwyer (geometry) Sam Johnson and the Blue Ribbon Quilt by Lisa Campbell Ernst (geometry) LITERATURE INCLUDED IN THE GRAB AND GO DIFFERENTIATED CENTERS KIT Busy Bees Let’s Go for a Walk REV 062012 Third Grade Math Page 23 Okaloosa County School District Curriculum Guide for Math Supporting Idea: Geometry and Measurement Essential Questions: How can you find perimeter? How can you estimate and measure perimeter? How can you find the perimeter of shapes? Benchm ark Text Alignm ent MA.3.G.5.1 Select appropriate units, strategies and tools to solve problems involving perimeter. Text: Chapter 11 CCS Mathematical Practices: Reason abstractly and quantitatively Look for and make use of structure FCAT Info Content lim its Item specs High complexity The student will use properties of polygons to find the perimeter and/or the lengths of the remaining sides of the polygon. Polygons used in items must be convex with 3- 10 sides or composed of composite rectangles. Items may require students to measure (using whole numbers) the sides of a polygon using a ruler. Additional Resources/Activities Form ative Assessm ents http://www.floridastandards.org/Standards/PublicPreviewBen chmark544.aspx?kw= Grid Paper (large) Sample Item 1: Online resource: https://www-k6.thinkcentral.com Formative Assessments: Triangle Tables Perimeter http://www.floridastandards.org/Resources/PublicPreview Resource13103.aspx Fence a Garden http://www.floridastandards.org/Resources/PublicPreview Resource13101.aspx Desk Perimeters http://www.floridastandards.org/Resources/PublicPreview Resource13102.aspx Lit. Connection Vocabulary / Reading Open: Specific to teacher, grade, subject Vocabulary: length foot yard mile centimeter decimeter meter millimeter kilometer perimeter estimate standard units metric units gram kilogram liter attribute plane figure linear area polygon side length Spaghetti and Meatballs for All by Marilyn Burns (perimeter) Racing Around by Stuart Murphy (perimeter) LITERATURE INCLUDED IN THE GRAB AND GO DIFFERENTIATED CENTERS KIT Trip to the Pond A Garden Fence REV 062012 Third Grade Math Page 24 Okaloosa County School District Curriculum Guide for Math Supporting Idea: Geometry and Measurement Essential Question: How can you measure length to the nearest half inch, nearest quarter inch? How do you know which customary unit to use to measure the length of an object or distance? Benchm ark Text Alignm ent MA.3.G.5.2 Measure objects using fractional parts of linear units, such as 1/2, 1/4, and 1/10. Text: Chapter 11 CCS Mathematical Practices: Reason abstractly and quantitatively Use appropriate tools strategically Attend to precision REV 062012 FCAT Info Content lim its Item specs Low complexity Items will require students to measure objects using a ruler. Measurements will be less than 6 inches or 15 centimeters. Items will not include conversions between units. Additional Resources/Activities Form ative Assessm ents http://www.floridastandards.org/Standards/PublicPreviewBen chmark545.aspx?kw= Sample Item 1: Online resource: https://www-k6.thinkcentral.com Tub manipulatives: Fraction Bars Formative Assessments: Measure Up http://www.floridastandards.org/Resources/PublicPreview Resource13327.aspx Measure Halves and Fourths http://www.floridastandards.org/Resources/PublicPreview Resource13104.aspx Third Grade Math Lit. Connection Vocabulary / Reading Open: Specific to teacher, grade, subject Measuring Penny by Loreen Leedy (estimation, length) How Big is a Foot? By Rolf Myller (length) LITERATURE INCLUDED IN THE GRAB AND GO DIFFERENTIATED CENTERS KIT Trip to the Pond A Garden Fence Page 25 Okaloosa County School District Curriculum Guide for Math Supporting Idea: Geometry and Measurement Essential Questions: How do you differentiate between minute, hour, A.M., and P.M.? How can you use an open time line to measure elapsed time in hours and minutes? How can you read, write, and tell time on analog, digital clocks to the nearest hour, half hour, and quarter hour? Benchm ark Text Alignm ent MA.3.G.5.3 Tell time to nearest minute and to the nearest quarter hour, and determine amount of time elapsed. Text: Chapter 12 CCS Mathematical Practices: Reason abstractly and quantitatively Make sense of problems and persevere in solving them Model with mathematics Use appropriate tools strategically FCAT Info Content lim its Item specs Moderate complexity May include determining elapsed time of days, weeks, months, or years. Elapsed time greater than 1 hour and less than or equal to 24 hours, only increments of hours and half hours will be assessed. For elapsed time less than 1 hour, only increments of quarter hours and 5 minutes will be assessed. Additional Resources/Activities Form ative Assessm ents http://www.floridastandards.org/Standards/PublicPreviewBen chmark546.aspx?kw= Elapsed Time in the Real World Time After Time The Hands of Time Telling Time Worksheet Sample Item 1: Online resource: https://www-k6.thinkcentral.com http://www.nsa.gov/academia/_files/collected_learning/el ementary/geometry/elapsed_time.pdf Lesson on elapsed time in the real world Elapsed time may include days, weeks, months, years, decades, and centuries. An open number line can be used to determine elapsed time: Dixon, Julie K. “Tracking Time: Representing Elapsed Time on an Open Timeline”, Teaching Children Mathematics 15, Issue 1 (August 2008):18-24 Formative Assessments: Time Elapsed http://www.floridastandards.org/Resources/PublicPreviewRe source13105.aspx Lit. Connection Vocabulary / Reading Open: Specific to teacher, grade, subject Vocabulary: analog clock digital clock hour half-hour quarter hour minute midnight noon a.m. p.m. time line elapsed time calendar year decade century time time line Play Date by Rosa Santos (time/Calendars) What time is it? by Sheila Keenan (time/Calendars) LITERATURE INCLUDED IN THE GRAB AND GO DIFFERENTIATED CENTERS KIT Is It Time Yet? Late For School REV 062012 Third Grade Math Page 26 Okaloosa County School District Curriculum Guide for Math Quarter 4 Found in the GO MATH Florida Benchmarks Practice book “Getting Ready for 4th Grade” MA.4.A.2.4 Compare and order decimals, and estimate fraction and decimal amounts in real-world problems. MA.4.A.6.1 Use and represent numbers through millions in various contexts, including estimation of relative sizes of amounts or distances. MA.4.A.4.1 Generate algebraic rules and use all four operations to describe patterns, including nonnumeric growing or repeating patterns. MA.4.A.1.1 Use and describe various models for multiplication in problem solving situations, and demonstrate recall of basic multiplication and related division facts with ease. MA.4.A.4.2 Describe mathematics relationships using expressions, equations, and visual representations. MA.4.A.1.2 Multiply multi-digit whole numbers through four digits fluently, demonstrating understanding of the standard algorithm, and checking for reasonableness or results, including solving real-world problems. MA.4.A.6.2 Use models to represent division as: The inverse of multiplication, As partitioning, As successive subtraction MA.4.A.2.3 Relate equivalent fractions and decimals with and without models, including locations on a number line. MA.4.G.3.1 Describe and determine area as the number of same sized units that cover a region in the plane, recognizing that a unit square is the standard for measuring area. MA.4.G.3.3 Select and use appropriate units both customary and metric, strategies, and measuring tools to estimate and solve real-world area problems. MA.4.G.5.3 Identify and build a three- dimensional object from a two-dimensional representation of that object and vice versa REV 062012 Third Grade Math Page 27 Okaloosa County School District Curriculum Guide for Math Math Resources Guide Principals and Standards for School Mathematics and Curriculum Focal Points National Council of Teachers of Mathematics http://www.nctm.org/standards/default.aspx?id=58 Illuminations NCTM Educational Resources http://illuminations.nctm.org/ Math Their Way, Center for Innovation in Education, Inc http://www.center.edu/index.shtml AIMS Education Foundation On-line Store Books, Free Resources and $1-2 E-Activities http://wwws.aimsedu.org/aims_store/home.php Investigations: Finding and Using Mathematical Children’s Literature with Elementary Students (1999). Teaching Math with Favorite Picture Books (Grades 1-3). NY: Scholastic Professional Books. http://investigations.terc.edu/library/mathactivities/children_lit2.cfm Teaching Math with Favorite Picture Books (Grades 1-3) By: Hechtman, J., Ellermeyer, D. and Grove, S. F. ISBN: 978-087355-243-1 http://www.amazon.com/Teaching-Favorite-Picture-Books-Grades/dp/0590762508 Professional Math Series: Teaching Student Centered Mathematics Grades k-3, Grades 3-5, Grades 5-8 By John A. Van de Walle http://www.ablongman.com/vandewalleseries/ http://www.allynbaconmerrill.com/search/index.aspx Good Questions for Math Teaching (Grades 5-8) By Lainie Schuster and Nancy Canavan Anderson Marilyn Burns Books http://www.eaieducation.com/501832.html Everyday Counts Partner Games Great Source Education Group http://www.greatsource.com Math Benchmark Specifications http://fcat.fldoe.org/pdf/specifications/MathGrades3-5.pdf REV 062012 Third Grade Math Page 28 Okaloosa County School District Curriculum Guide for Math Go Math! Online Math Concept Readers https://www-k6.thinkcentral.com Level K K K Title Math Content Description I Know Big and Small I Know Alike and Different I Know Numbers Big and small Sort and classify Numbers 6-10 K K K K K I Know Shapes Counting at the Market Shortest and Longest Where I Live Numbers at the Lake Summertime Math Geometry Numbers 11-30 Measurement Addition/Subtraction Numbers 0 to 30 1 1 1 1 1 1 1 1 Counting in the City My Counting Trip to the Zoo Math Club Miss B.'s Class Makes Tables and Graphs Our Lemonade Stand Pattern Parade The Dog Show The Class Party Counting up and counting down 0-30 Number sense (0 to 20) Relate addition and subtraction to 12 Data and graphs Counting coins Patterns: AAB, ABC, ABB, AB Length: Nonstandard measurement One-digit addition and subtraction 2 2 2 2 2 2 2 2 All the Time Doubles Fun on the Farm Party Plans Time To Go Shopping Building a Mini-Park Time to Take a Trip! Treasure Hunts What Do You Like? Time: reading analog and digital clocks Addition facts and strategies: Doubles Use 2-digit addition and subtraction Use money Solid and plane figures Compare and order greater numbers Length: Nonstandard measurement Data and graphs 3 3 3 3 3 3 3 3 A Nose for News and Numbers Party Plans by the Numbers! The Garden Fence Surprising Solids Sports Camp Pizza Parts! Fun and Games A Trip to the Pond Understand place value; Compare, order, and round numbers Multiplication facts and strategies Division facts Solid figures Divide by 1-digit numbers Understand fractions Data and probability Metric measurement REV 062012 Third Grade Math Page 29 Okaloosa County School District Curriculum Guide for Math 4 4 4 4 4 4 4 4 Exercising for Beads On the Menu: Bamboo, Figs, and Other Tasty Treats Putting the World on a Page The Thirst Quencher Diego’s Perfect Fit Elizabeth’s Groovy Green Racing Machine A New Angle on Trains and Train Stations Fighting Fire with Fire Algebra: Use addition and subtraction Multiplication and division facts Multiply by 1-digit numbers, multiply by 2-digit numbers Practice division Collect, organize, and represent Data; Interpret and graph data Add and subtract decimals and money Lines, rays, angles, and plane figures Perimeter 5 5 5 5 5 5 5 5 The World’s Tallest Buildings Fundraising Fair Table Soccer, Anyone? Halfpipe Forecast: Sunny Skies! City of the Future Designing a Skatepark Park Visitors Place value, addition, and subtraction Fraction concepts Add and subtract mixed numbers Add and subtract decimals Percent Geometric figures, plane and solid figures Perimeter and area Analyze data 6 6 6 Model Rocket Math Expedition: Antarctica Take Your Math to Work 6 Music To Our Ears 6 6 6 6 The Truth About Pi Walk the Distance What Are the Chances? Room Makeover: Serving the Community Fraction concepts, add and subtract fractions Add and subtract integers Analyze data, graph data Addition equations, subtraction equations, multiplication and division equations Circles Proportions Probability of simple events Surface area and volume REV 062012 Third Grade Math Page 30 Okaloosa County School District Curriculum Guide for Math Literature Connection Chart Title Author Beep, Beep, Vroom, Vroom Chrysanthemum Those Calculating Crows Splash! Ten Black Dots A Three Hat Day Best Bug Parade (The) Billy’s Buttons Caps for Sale Fat Frogs on a Skinny Log Lilly’s Purple Plastic Purse Stuart J. Murphy Keven Henkes Alice Wakefield Ann Jonas Donald Crews Laura Geringer Stuart J. Murphy William Accorsi Esphyr Slobodkina Sara Riches Kevin Henkes Inch by Inch Leo Lionni Lots and Lots of Zebra Stripes Napping House (The) One Monday Morning One More Bunny Penny Pot (The) Stephen R. Swinburne Audrey Wood Uri Shulevitz Rick Walton Stuart J. Murphy Sea Sums Joy N. Hulme Seven Blind Mice 12 Ways to Get to 11 Ed Young Eve Merriam Alexander Who Used to Be Rich Last Sunday Judith Viorst Amanda’s Bean’s Amazing Dream: A Mathematical Story Band-Aids Betcha! Biggest, Strongest, Fastest Blast Off!! Patterning Addition, Subtraction Counting by ones, Graphing, One-to-one correspondence Addition Number sense, Numeration Statistics and probability, Patterns and relationships Counting, Ordering by length, and other attributes Patterns and relationships Patterns and relationships Addition, Subtraction Money Estimating and measuring with standard and nonstandard units, Graphing Patterning, Classification Addition Counting, Number sense Addition Coin values, Problem solving Counting, Basic addition, Basic Subtraction, Addition with more than two addends, Classification Ordinal Numbers Number and operations Measurement, Money, Concept of whole number operations, Fractions, Decimals K K K 1 1 1 1 1 1 1 1 Cindy Neuschwander Beginning multiplication, Multiples, Skip counting 2 Shel Silverstein Stuart J. Murphy Steve Jenkins Norma Cole Number sense, Numeration Estimate length, Measure length, Estimate quantity Length Estimation, Statistics and Probability Counting, Sorting, Classification, Estimation, Ordinal numbers, Ordering by size Estimation of quantity, weight, and length Beginning division, Multiples, Skip counting 2 2 2 2 Button Box (The) Margarette S. Reid Cucumber Soup Doorbell Rang (The) Vickie Leigh Krudwig Pat Hutchins REV 062012 Grade Level Concept or Skills Third Grade Math 1 1 1 1 1 1 1 1 2 2 2 2 2 Page 31 Okaloosa County School District Curriculum Guide for Math Harriet’s Halloween Candy How Big is a Foot? How Many Feet in the Bed Nancy Carlson Rolf Myller Jonston Hamm Imogene’s Antlers David Small Jim and the Beanstalk Just a Little Bit Look at Annette My Monster Mama Loves Me So Only One Raymond Briggs Ann Tompert Marion Walter Laura Leuck Marc Harshman Pigs Will Be Pigs Amy Axelrod Pizza Pizzazz! Carol A. Losi Ready, Set, Hop! Stuart J. Murphy So You Want to Be President Judith St. George Village of Round and Square Houses (The) Ann Grifalconi Annabelle Swift, Kindergartner Boy Who Stopped Time (The) Dave’s Down-To-Earth Rock Shop Amy Schwartz Anthony Taber Stuart J. Murphy Grandfather’s Tang’s Story Ann Tompert Draw Me a Star George Shrinks Important Book (The) Math Curse Night Noises One Duck Stuck One Hundred Hungry Ants One Hungry Cat Pepper’s Journal Purse (The) Eric Carle William Joyce Margret Wise Brown Jon Scieszka and Lane Smith Mem Fox Phyllis Root Elinor J. Pinczes Joanne Rocklin Stuart J. Murphy Kathy Caple Tony Johnston and Tomie DePaola Quilt Story (The) Sea Squares Joy N. Hulme Six Dinner Sid Inga Moore $1..00 Word Riddle Book (The) Marilyn Burns REV 062012 Classification of objects, Graphing Measurement with standard and non-standard units Skip counting, Number patterns Whole number computation, Whole number operations, Number sense, Numeration 2 2 2 Measurement of length, Problem Solving, Estimation Counting, Basic addition, Missing Addends, Adding 1` Geometry and spatial sense, Patterns and relationships Doubles Number sense Measurement, Money, , Whole number computation, Fractions, Decimals Fractions Basic addition, Measurement of length, Addend, Equation, Fact families Sorting, Graphing Identifying geometric shapes, Identifying three-dimensional shapes, Describing vertices, faces, and edges Money, Addition, Subtraction, Multiplication, Division Measuring Time Classification, Patterning, Venn diagrams Spatial sense, Geometric shapes, Similar triangles, Area, Problem solving Estimation, Number sense Proportional reasoning, Fractions, Length Patterns and relationships Number sense, Numeration Addition, Mental computation Additon Multiplication Division, Number sense, Geometry Time, Calendars, Time lines, Graphing Money, Number sense, Problem solving using tables and lists 2 2 2 2 2 Geometry and spatial sense, Patterns and relationships 3 Counting, Basic addition, Beginning multiplication, Square numbers, Problem solving Counting, Skip counting, addition, Multiplication, Problem Solving Addition Third Grade Math 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 Page 32 Okaloosa County School District Curriculum Guide for Math A Reminder of One Amazing Book of Mammal Records (The) Among the Odds & Evens Cut Down to Size at High Noon How Much Is a Million? One Tiny Turtle Qwen and Mzee Elinor J. Pinczes Samuel G. Woods Priscilla Turner Scott Sundby David M. Schwartz Nicola Davies Jamie O’Rourke and the Big Potato Tomie dePaola Lost at the White House Lisa Griest Martha Blah Blah Math Appeal Spaghetti and Meatballs for All! Anno’s Mysterious Multiplying Jar Fly on the Ceiling (The) Susan Meddaugh Greg Tang Marilyn Burns Masaichiro Anno Dr. Julie Glass Math for Smarty Pants Marilyn Burns One Grain of Rice Roman Numbers 1 to MM Tiger Math: Learning to Graph from a Baby Tiger Tikki Tikki Tempo Wilma Unlimited If You Hopped Like a Frog REV 062012 4 4 4 4 4 4 4 Demi Artur Geisert Ann Whitehead Nagda Arlene Mosel Kathleen Krull Number and Operations Subtraction, Proportional Reasoning, Length, Weight Properties of Numbers Length, Proportional reasoning Number and Operations Whole number computation Word Problems Estimating and measuring with standard and nonstandard units, Graphing, Estimation of quantity, weight and length Estimation of quantity, Measurement of circumference and weight, Problem solving Frequency Distribution Whole Number Computation, Number Sense Area, Perimeter Multiplication Coordinate Graphing Whole Number Computation, Algebraic Equivalence, Logical Reasoning Addition, Number sense, Exponential numbers Number and Operations Statistics Graphing, Averages Computation, Graphing, Pounds and ounces David M. Schwartz Length, Proportional reasoning 5 Third Grade Math 4 4 4 4 4 5 5 5 5 5 5 5 5 Page 33
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