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Hueneme Elementary School District Staff Development Day #3 March 10, 2014

Hueneme Elementary School District Staff Development Day #3 March 10, 2014. CCSS Mathematic Units of Study Grade 5 http:// www.youtube.com/watch?v=KdxEAt91D7k . Introductions. Julie Sanchez Andy Hoerer. Year at a Glance …. Unit 1 Place Value Unit 2 Multiplication & Division

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Hueneme Elementary School District Staff Development Day #3 March 10, 2014

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  1. Hueneme Elementary School DistrictStaff Development Day #3March 10, 2014 CCSS Mathematic Units of Study Grade 5 http://www.youtube.com/watch?v=KdxEAt91D7k .

  2. Introductions Julie Sanchez Andy Hoerer

  3. Year at a Glance….. Unit 1 Place Value Unit 2 Multiplication & Division Unit 3 Graphing Unit 4 Addition & Subtraction of Fractions Unit 5 Multiplication & Division of Fractions Unit 6 Geometry & Volume

  4. On Your Own or CollaborativelyTHE WHATExplore the content standards for your grade 5 (with related tasks) Website: Illustrative Mathematics Link: http://www.illustrativemathematics.org/standards/k8

  5. Math Practices On Your Own or Collaboratively THE HOW Watch and Discuss: Classroom Videos of Exemplary Lessons Make sense of problems and persevere in solving them Reason abstractly and quantitatively Construct viable arguments and critique the reasoning of others Model with mathematics Use appropriate tools strategically Attend to precision Look for and make use of structure Look for and express regularity in repeated reasoning

  6. Let’s take a closer look at Unit 3 . . . Overview How can we describe an object’s location in space? Title: GRAPHING Length: 15-18 Days In this unit, students will learn how to graph ordered pairs in the first quadrant, and how to apply this knowledge to real world situations.   Students will be asked to both interpret and create graphs.

  7. Essential Standards Taught and Assessed (Re-taught if necessary) *5.G.1. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). *5.G.2. Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

  8. Support Standards (Taught in conjunction with the Essential Standards) *5.MD.2. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally. *5.OA.3. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and thestarting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.

  9. Enduring Understandings and Essential Questions Enduring Understandings Essential Questions Questions based on the Enduring Understanding that teachers can use during instruction and assessment. How does coordinate graphing work? How can we use numbers to create and manipulate points and shapes? How can coordinate graphing help us better understand other map systems? A statement about the concept behind the content that we want students to transfer to different learning experiences and subject areas. *PROPORTIONALITY:  If two quantities vary proportionally, that relationship can be represented as a linear function. *ORIENTATION & LOCATION: Objects in space can be oriented in an infinite number of ways, and an object’s location in space can be described quantitatively.

  10. Academic Vocabulary(Explicitly taught throughout the course of the unit) • axis/axes • coordinates • coordinate plane • coordinate system • first quadrant • horizontal • intersection of lines • line • ordered pairs • origin • point • rule • vertical • x-axis • x-coordinate • y-axis • y-coordinate • perpendicular

  11. Chapter 1: Introduction to Coordinate Graphing (approximately 3 Days) Essential Standard Essential Question *How does coordinate graphing work? Learning Objectives (Unpacked Standards) *Given an ordered pair, students will be able to place the point on the coordinate plane.   *Given any point on the coordinate plane, students will be able to determine the correct ordered pair. 5.G.1. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

  12. Suggested Resources for Chapter 1 Everyday Mathematics 9-1, 9-2, 9-3, 10-4, 10-6, 10-7, 12-8 Unit 9 ”Plotting a Turtle” MJ2 p.292 “Hidden Treasure” MJ2 p. 293 “Sailboat Graphs” MJ2 p.296-297 ‘Plotting a Map” MJ2 p. 298 “More Sailboat Graphs” p. 300-301 Math Routines http://www.sandi.net/cms/lib/CA01001235/Centricity/Domain/217/math%20documents/Grade%205%20Instructional%20Routines.pdf (Source :SDUSD) http://www.sandi.net/cms/lib/CA01001235/Centricity/Domain/217/Daily%20Number%20Practice%20Upper%20Grades.docx (Source : SDUSD) Literature (Fiction/Informational Text) • A Fly on the Ceiling, by Julie Glass • Tiger Math: Learning to Graph from a Baby Tiger by Ann Whitehead Nagda and Cindy Bickel Writing • Writing to Learn:  Mathematics http://www.sandi.net/cms/lib/CA01001235/Centricity/Domain/217/math%20documents/Writing_to_Learn_Mathematics.pdf Online Lessons • K-5 Math http://www.k-5mathteachingresources.com/5th-grade-geometry.html • Learn Zillion http://learnzillion.com/lessons?utf8=%E2%9C%93&filters%5Bsubject%5D=math&query=&filters%5Bgrade%5D%5B%5D=5&filters%5Bdomain%5D=G%3A+Geometry&filters%5Bstandard%5D=5.G.1%3A+Use+a+pair+of+perpendicular+number+li • Georgia https://www.georgiastandards.org/Common-Core/Common%20Core%20Frameworks/CCGPS_Math_5_Unit5FrameworkSE.pdf • Math Goodies http://www.mathgoodies.com/lessons/graphs/construct_line.html Videos/Interactives/Games • Math Playground http://www.mathplayground.com/locate_aliens.html • Khan Academy https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-geometry-topic/cc-5th-coordinate-plane/e/graphing_points • Hooda Math http://hoodamath.com/tutorials/5thgrade/ Other • Math Vocabulary Resources http://www.graniteschools.org/depart/teachinglearning/curriculuminstruction/math/Pages/MathematicsVocabulary.aspx • Common Core Sheets http://www.commoncoresheets.com/SortedByGrade.php?Sorted=5g1 • Math Aids http://www.math-aids.com/Graphing/

  13. Chapter 2 Interpreting Graphs(approximately 4 Days) Essential Standard Essential Question *How can coordinate graphing help us better understand other map systems? Learning Objectives (Unpacked Standards) *Given a graph, students will be able to answer and explain what is represented or can be interpreted from the graph. *Given a map, students will be able to use the alpha-numeric system to locate points, and solve problems. * 5.G.2. Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. Enduring Understanding *Students will be able to use a grid or map to find locations and solve problems related to directionality.

  14. Suggested Resources for Chapter 2 Everyday Mathematics • 9-1, 9-2, 9-3, 10-4, 10-6 Math Routines http://www.sandi.net/cms/lib/CA01001235/Centricity/Domain/217/math%20documents/Grade%205%20Instructional%20Routines.pdf (Source :SDUSD) http://www.sandi.net/cms/lib/CA01001235/Centricity/Domain/217/Daily%20Number%20Practice%20Upper%20Grades.docx (Source : SDUSD) Literature (Fiction/Informational Text) • Tiger Math: Learning to Graph from a Baby Tiger by Ann Whitehead Nagda and Cindy Bickel Writing • Writing to Learn:  Mathematics http://www.sandi.net/cms/lib/CA01001235/Centricity/Domain/217/math%20documents/Writing_to_Learn_Mathematics.pdf Science Meerkat Growth Chart http://www.illustrativemathematics.org/illustrations/1516 Online Lessons • Learn Zillion http://learnzillion.com/lessons?utf8=%E2%9C%93&filters%5Bsubject%5D=math&query=&filters%5Bgrade%5D%5B%5D=5&filters%5Bdomain%5D=G%3A+Geometry&filters%5Bstandard%5D=5.G.2%3A+Represent+real+world+and+mathematical. • K-5 Math http://www.k-5mathteachingresources.com/5th-grade-geometry.html • Georgiahttps://www.georgiastandards.org/Common-Core/Common%20Core%20Frameworks/CCGPS_Math_5_Unit5FrameworkSE.pdf • Battleship type game http://www.illustrativemathematics.org/illustrations/489 Videos/Interactives/Games • Math Playground http://www.mathplayground.com/locate_aliens.html • Khan Academy https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-geometry-topic/cc-5th-coordinate-plane/e/coordinate-plane-word-problems-in-the-first-quadrant • HoodaMath http://hoodamath.com/tutorials/5thgrade/ Other * Math Vocabulary Resources http://www.graniteschools.org/depart/teachinglearning/curriculuminstruction/math/Pages/MathematicsVocabulary.aspx • Common Core Sheet http://www.commoncoresheets.com/SortedByGrade.php?Sorted=5g1 • Math Aids http://www.math-aids.com/Graphing/ * 12 Lessons http://www.sharemylesson.com/TaxonomySearchResults.aspx?area=resources&keywords=5.G.1

  15. Chapter 3: Creating and Interpreting Graphs( approximately 8 Days) Essential Standards Essential Question *How can coordinate graphing help us better understand other map systems? Learning Objectives (Unpacked Standards) *Given a set of data, students can create an appropriate graph, explain what the axes represent, and interpret and extrapolate information based on the graph. *Students will be able to make a graph and make reasonable inferences based on patterns or trends. 5.G.2. Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane. 5.MD.2. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. Enduring Understanding * Students will be able to interpretgraphs using information from various curricular areas, and be able to extrapolate trends, and make predictions.

  16. Suggested Resources for Chapter 3 Everyday Mathematics * 9-1, 9-2, 9-3, 10-4, 10-6 (G.2) *2-5, 6-1, 7-10, 10-2, 11-7 (MD.2) Math Routines http://www.sandi.net/cms/lib/CA01001235/Centricity/Domain/217/math%20documents/Grade%205%20Instructional%20Routines.pdf(Source:SDUSD) Literature (Fiction/Informational Text) • Tiger Math: Learning to Graph from a Baby Tiger by Ann Whitehead Nagda and Cindy Bickel Writing • Writing to Learn:  Mathematics http://www.sandi.net/cms/lib/CA01001235/Centricity/Domain/217/math%20documents/Writing_to_Learn_Mathematics.pdf Online Lessons • K-5 Math http://www.k-5mathteachingresources.com/5th-grade-geometry.html • Learn Zillion http://learnzillion.com/lessons?utf8=%E2%9C%93&filters%5Bsubject%5D=math&query=&filters%5Bgrade%5D%5B%5D=5&filters%5Bdomain%5D=G%3A+Geometry&filters%5Bstandard%5D=5.G.2%3A+Represent+real+world+and+mathematical. • Learn Zillion http://learnzillion.com/lessons?utf8=%E2%9C%93&filters%5Bsubject%5D=math&query=&filters%5Bgrade%5D%5B%5D=5&filters%5Bdomain%5D=MD%3A+Measurement+and+Data&filters%5Bstandard%5D=5.MD.2%3A+Make+a+line+plot+to+display+a+data+se • Georgia https://www.georgiastandards.org/Common-Core/Common%20Core%20Frameworks/CCGPS_Math_5_Unit5FrameworkSE.pdf Videos/Interactives/Games • Math Playground http://www.mathplayground.com/locate_aliens.html • Khan Academy https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-data/e/interpreting-line-plots-with-fraction-multiplication-and-division • HoodaMath http://hoodamath.com/tutorials/5thgrade/ Other • Math Vocabulary Resources http://www.graniteschools.org/depart/teachinglearning/curriculuminstruction/math/Pages/MathematicsVocabulary.aspx • Common Core Sheets http://www.commoncoresheets.com/SortedByGrade.php?Sorted=5g1 • Math Aids http://www.math-aids.com/Graphing/

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