Hueneme Elementary School District Staff Development Day #3 March 10, 2014 CCSS Mathematic Units of Study Grade 5

Julie Sanchez Andy Hoerer Introductions

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

On Your Own or Collaboratively THE WHAT Explore the content standards for your grade 5 (with related tasks) Website: Illustrative Mathematics Link:

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

Title: GRAPHING Length: 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. Let’s take a closer look at Unit 3... Overview How can we describe an object’s location in space? Students will be asked to both interpret and create graphs.

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.

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 the starting 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.

Enduring Understandings and Essential Questions Enduring Understandings * 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. 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.

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

Chapter 1: Introduction to Coordinate Graphing (approximately 3 Days ) Essential Standard 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). 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.

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 ‘Plotting a Map” MJ2 p. 298 “More Sailboat Graphs” p Math Routines ain/217/math%20documents/Grade%205%20Instructiona l%20Routines.pdfhttp:// ain/217/math%20documents/Grade%205%20Instructiona l%20Routines.pdf (Source :SDUSD) ain/217/Daily%20Number%20Practice%20Upper%20Grad es.docxhttp:// ain/217/Daily%20Number%20Practice%20Upper%20Grad es.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 ain/217/math%20documents/Writing_to_Learn_Mathema tics.pdf Online Lessons K-5 Math Learn Zillion ery=&filters%5Bgrade%5D%5B%5D=5&filters%5Bdomain%5D=G%3A+Geometry&fil ters%5Bstandard%5D=5.G.1%3A+Use+a+pair+of+perpendicular+number+li Georgia Core/Common%20Core%20Frameworks/CCGPS_Math_5_Unit5FrameworkSE.pdf Math Goodies Videos/Interactives/Games Math Playground Khan Academy fifth-grade-math/cc-5th-geometry-topic/cc-5th- coordinate-plane/e/graphing_pointshttps:// fifth-grade-math/cc-5th-geometry-topic/cc-5th- coordinate-plane/e/graphing_points Hooda Math Other Math Vocabulary Resources uminstruction/math/Pages/MathematicsVocabulary.aspx Common Core Sheets ed=5g1 Math Aids

Chapter 2 Interpreting Graphs (approximately 4 Days ) Essential Standard * 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. 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.

Suggested Resources for Chapter 2 Everyday Mathematics 9-1, 9-2, 9-3, 10-4, 10-6 Math Routines in/217/math%20documents/Grade%205%20Instructional% 20Routines.pdfhttp:// in/217/math%20documents/Grade%205%20Instructional% 20Routines.pdf (Source :SDUSD) in/217/Daily%20Number%20Practice%20Upper%20Grades. docxhttp:// in/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 in/217/math%20documents/Writing_to_Learn_Mathematic s.pdf Science Meerkat Growth Chart Online Lessons Learn Zillion ery=&filters%5Bgrade%5D%5B%5D=5&filters%5Bdomain%5D=G%3A+Geometry&f ilters%5Bstandard%5D=5.G.2%3A+Represent+real+world+and+mathematical. ery=&filters%5Bgrade%5D%5B%5D=5&filters%5Bdomain%5D=G%3A+Geometry&f ilters%5Bstandard%5D=5.G.2%3A+Represent+real+world+and+mathematical K-5 Math Georgia Core/Common%20Core%20Frameworks/CCGPS_Math_5_Unit5FrameworkSE.pdf Core/Common%20Core%20Frameworks/CCGPS_Math_5_Unit5FrameworkSE.pdf Battleship type game Videos/Interactives/Games Math Playground Khan Academy 5th-geometry-topic/cc-5th-coordinate-plane/e/coordinate-plane-word-problems-in- the-first-quadrant 5th-geometry-topic/cc-5th-coordinate-plane/e/coordinate-plane-word-problems-in- the-first-quadrant Hooda Math Other * Math Vocabulary Resources thematicsVocabulary.aspx Common Core Sheet Math Aids * 12 Lessons 5.G G.1

Chapter 3: Creating and Interpreting Graphs ( approximately 8 Days) Essential Standards 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 interpret graphs using information from various curricular areas, and be able to extrapolate trends, and make predictions. 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.

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 th%20documents/Grade%205%20Instructional%20Routines.pdf th%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 /math%20documents/Writing_to_Learn_Mathematics.pdf Online Lessons K-5 Math Learn Zillion ery=&filters%5Bgrade%5D%5B%5D=5&filters%5Bdomain%5D=G%3A+Geometry&fil ters%5Bstandard%5D=5.G.2%3A+Represent+real+world+and+mathematicalhttp://learnzillion.com/lessons?utf8=%E2%9C%93&filters%5Bsubject%5D=math&qu ery=&filters%5Bgrade%5D%5B%5D=5&filters%5Bdomain%5D=G%3A+Geometry&fil ters%5Bstandard%5D=5.G.2%3A+Represent+real+world+and+mathematical. Learn Zillion ery=&filters%5Bgrade%5D%5B%5D=5&filters%5Bdomain%5D=MD%3A+Measurem ent+and+Data&filters%5Bstandard%5D=5.MD.2%3A+Make+a+line+plot+to+display+ a+data+se Georgia Core/Common%20Core%20Frameworks/CCGPS_Math_5_Unit5FrameworkSE.pdf Videos/Interactives/Games Math Playground Khan Academy grade-math/cc-5th-measurement-topic/cc-5th-data/e/interpreting-line- plots-with-fraction-multiplication-and-division grade-math/cc-5th-measurement-topic/cc-5th-data/e/interpreting-line- plots-with-fraction-multiplication-and-division Hooda Math Other Math Vocabulary Resources ges/MathematicsVocabulary.aspx Common Core Sheets Math Aids