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Common Core Mathematics Fourth Grade August 16, 2012 Presenters: Laura Leonard & Shelly Harris

DPI News  Unpacking documents very closely replicate the old Indicators  Week By Week Essentials and Strategies will be renamed and released in late Fall Updates regarding this new document will be posted on the NCDPI Math Wiki: and on the K-8 NCDPI Math Listserves (Membership information: n). n n

Math Notebook  Math Curriculum Card  Year At A Glance Pacing Guide  Common Core State Standards  Introduction  Math Practices  Fourth Grade Standards  Glossary & Tables (problem types & order of operations)  Learning Progressions  Unpacking Documents  Instructional Support Tools  Crosswalk  DPI Unit-Fourth Grade Fractions

Investigations Materials  Snap Ins  Supplemental Book-Investigations and the Common Core State Standards  Planning Guides

Major Work of the Grade

Prioritization of Standards for EOG *One-third to one-half of the assessments will be comprised of calculator-inactive items

Planning Guides  Beginning With the End in Mind  Common Core  Learning Targets  Concepts to Highlight  Math Practices  Tasks/Resources  Ten-Minute Math  Connections to Other Topics/Subjects  Vocabulary  Special Notes

Unit 1 Planning Guide  Factors, Multiples, and Arrays  15 Lessons, 16 Days (Year at a Glance)  Exploring Multiplication with Rectangles (Focus on numbers 1-25)  Factor Game  Product Game

Factor Game   Two player game  Materials: Gameboard with 1-30 grid, crayons or colored chips, paper/pencil RULES:  Player one selects a number and colors/covers it.  Player two colors/covers all of the proper factors (all factors other than itself) of player one’s selected number.  The roles are switched and play continues until there are no numbers remaining for uncolored factors.  Each person then adds up the numbers they have covered. The person with the largest total is the winner.

Product Game  Materials: Gameboard ( OH-GameBoard.pdf), two-color counters, 2 paper clips OH-GameBoard.pdfhttp://illuminations.nctm.org/lessons/6-8/product/Product- OH-GameBoard.pdf  Player one selects two factors by placing the paper clips on them. They then use a counter to cover the product of the chosen factors.  Player two may move only one paper clip and covers the product of the new factors.  Play continues to alternate with only one paper clip being moved each turn.  The winner places four counters in a row horizontally, vertically, or diagonally.  Similar to Carolina Clip-It in the Week-by-Week Essentials

Unit 3 Planning Guide  Multiple Towers and Division Stories  20 Lessons, 20 Days  Mental Math in the Middle Grades

Mental Math in the Middle Grades  Lessons 22, 23, and 24 involve multiplying by multiples of ten  Great activities to incorporate into ten- minute math

Unit 4 Planning Guide  Size, Shape, and Symmetry  17 Lessons, 32 Days  Two lessons from Unit 7 are incorporated with Unit 4, but the remainder of Unit 7 is omitted  Unit 4 is split into three sections (Measurement, Geometry, and Angle Measurement)

Area Creature Activity  Purpose: to review finding area and perimeter  Task: Use the grid paper provided to create a creature that meets the following criteria:  At least one arm  At least one leg  At least one head  All body parts must be at least one centimeter wide  Area must be exactly 125 sq. cm  When you’re confident that your creature meets the criteria listed, proceed to find the area of your creature. Record both the area and perimeter of your creature. epartments/DocumentsCategories/Documents/Gr3Building%20 Mathematical%20Thinkers9%20(2).pdf epartments/DocumentsCategories/Documents/Gr3Building%20 Mathematical%20Thinkers9%20(2).pdf Modification: Students with learning disabilities or spatial difficulties may find it difficult to begin with grid paper. You can provide them with the proper number of centimeter cubes and allow them to arrange them appropriately then record on the grid paper.

Triangle Sort  Using the bag of triangles provided, sort them into three groups so that no triangle belongs to two groups.  Use the sticky notes to describe the attributes you sorted by for each group.  Now sort the triangles again into three groups so that no triangle belongs to two groups using different attributes. Use the sticky notes to label the new attributes. *This sort results in definitions of the six different types of triangles without having to list the definitions on the board and have students memorize them.

Creating Triangles  Using the Anglegs, try to create each type of triangle listed in the grid.  If you are able to create the triangle, sketch it in the cell it belongs (color code your sketches to match the Anglegs).  Cross out the cell if the triangle is impossible to create.  Which cells are impossible to fill? Can you tell which ones and why?

From Wedges to Wangles  Non-standard angle measurement  As a table, make 12 wangles by cutting them out, folding along the dotted lines, and taping the vertex.  Use the wangles to measure the angles formed by the bold lines in the picture cards provided.  Record the number of wangles in each picture.  This lesson provides a foundation for understanding protractors since the wedge is a repeated, but also unfamiliar, unit of measurement.

Unit 5 Planning Guide  Landmarks and Large Numbers  27 Lessons, 30 Days  Adding/Subtracting & Place Value of Whole Numbers  Third Grade Common Core Standards only take students to 1,000; Fourth Grade goes up to 1,000,000!

U.S. Algorithm for Subtraction  As a table, create a poster that explains how the U.S. algorithm works.  Use the following problem as your example: =  Be sure to address why “borrowing” works. There is meaning behind each step!

Unit 6 Planning Guide  Fraction Cards and Decimal Squares  25 Lessons, 34 Days  Taught in third quarter. Planning guide coming soon…!  DPI Fraction Unit

Who Am I? Puzzles  Work with your table to solve the Who Am I? Puzzles  Be prepared to share your thinking and your answers  Use the paper provided to create your own Who Am I? Puzzle. Be ready to share!

Additional Resources  Aegom (landmark numbers)  Study jams (  DPI wiki (  County wiki ( 5instruction.wikispaces.com/) 5instruction.wikispaces.com/ 5instruction.wikispaces.com/  Week by Week Essential Games  portalId= &pageId= portalId= &pageId= portalId= &pageId=

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