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Parent Math night Arizona’s college and career ready standards (AZCCRS)

Parent Math night Arizona’s college and career ready standards (AZCCRS). Monte Vista April 3, 2014 Kindergarten 1 st Grade 2 nd Grade. Liz Morris Math Coach emorris@kyrene.org Lisa Liberta Assistand Principal lliber@kyrene.org. Workshop objectives.

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Parent Math night Arizona’s college and career ready standards (AZCCRS)

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  1. Parent Math nightArizona’s college and career ready standards(AZCCRS) Monte Vista April 3, 2014 Kindergarten 1st Grade 2nd Grade Liz Morris Math Coach emorris@kyrene.org Lisa Liberta Assistand Principal lliber@kyrene.org

  2. Workshop objectives • What are Arizona College and Career Ready Standards (ACCRS) and why are they different? • Do the math! • Procedural Math vs. Conceptual Math • How can I support my child in math? • Questions?

  3. Arizona college and career ready standards http://vimeo.com/51933492

  4. Arizona college and career ready standards • The AZCCRS Standards provide a consistent, clear understanding of what students are expected to learn, so teachers and parents know what they need to do to help them. • The standards are designed to be focused, coherent, and relevant to the real world, reflecting the knowledge and skills that our young people need for success in college and careers. • With American students fully prepared for the future, our communities will be best positioned to compete successfully in the global economy. http://www.corestandards.org

  5. AZCCRS in Mathematics • research and evidence based • aligned with college and work expectations • rigorous • Internationally benchmarked www.azed.gov

  6. Video http://safeshare.tv/w/RjBUcAxjkv

  7. Do the math! James went to Sticker Station. He bought 445 rocket stickers and 253 boat stickers. How many stickers did James buy? Sally had 235 stickers. She gave 158 of them to her sister. How many stickers does Sally have left? 2.NBT.B.7 B: Use place Value understanding and properties to add and subtract. Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones, and sometimes it is necessary to compose or decompose tens or hundreds.

  8. Procedural vs. Conceptual • “Action sequences for solving problems.” • Rittle-Johnson & Wagner (1999) • “Like a toolbox, it includes facts, skills, procedures, algorithms or methods.” • Barr, Doyle et. el. (2003) • “Learning that involves only memorizing operations with no understanding of underlying meanings.” • Arslan (2010) • “Ideas, relationships, connections, or having a ‘sense’ of something.” • Barr, Doyle et. el. (2003) • “Learning that involves understanding and interpreting concepts and the relations between concepts.” • Arslan (2010) • “To know why something happens in a particular way.” • Hiebert and Lefevre(1986)

  9. Do the math! Addition Equations: • 445 + 253 = • 445 + 253 Equations: • 445 + 253 = Strategies: Break apart both numbers by place value 400 + 40 + 5 200 + 50 + 3 600 + 90 + 8 = 698 400 + 200 = 600 40 + 50 = 90 5 + 3 = 8 600 + 90 + 8 = 698 2.NBT.B.7 B: Use place Value understanding and properties to add and subtract • Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones, and sometimes it is necessary to compose or decompose tens or hundreds. PROCEDURAL CONCEPTUAL

  10. Do the math! Subtraction Equations: • 235 – 158 = • 235 -158 Equations: • 235 – 158 = _____ We know that Sally gave away 158 of her stickers. 158 = 100 + 50 + 8 How many sheets, strips, and singles did she give away? 235 – 100 = now there are 135 left. We took away 100 of the 158. Now let’s take away 50 more. There are 30 stickers, where can I get 20 more? = 80 20 30 135 – 50 = 85 We have taken away 150 of the 158 stickers. We need to take away 8 more stickers to equal 158. 85 – 8 = ____ How would you solve this? (break apart 8; 5 + 3) 85 – 5 = 80 80 – 3 = 77 so 85 – 8 = 77 = PROCEDURAL CONCEPTUAL

  11. Algorithm vs. strategies • Algorithm - a step-by-step procedure for solving a problem (Concise) • US Standard Algorithms • Carrying in addition – 4th Grade • Borrowing in subtraction – 4th Grade • Carrying in multiplication – 5th Grade • Long division – 6th Grade • Strategies– build to an understanding of the operations used in solving problems “Algorithms have been found to be useful by many people. Too often, in the past, these algorithms were taught and learned without meaning.” ~NCTM

  12. Addition Strategies • Counting All • Counting On

  13. Addition strategies • Breaking apart one number by Place Value • Using a tool to show strategy 48 + 37 48 + 10 = 58 58 + 10 = 68 68 + 10 = 78 78 + 2 = 80 80 + 5 = 85

  14. Addition strategies • Breaking apart both numbers by Place Value

  15. Addition Strategies • Changing one number to make a Friendly Number, Round and Adjust 237 + 98 = ______ 235 + 100 = 335 -2 +2

  16. Subtraction strategies • Counting all

  17. Subtraction strategies • Counting Back Using a Number Line 81 – 37 81 – 10 = 71 71 – 10 = 61 61 – 10 = 51 51 – 1 = 50 50 – 6 = 44

  18. Subtraction strategies • Adding Up (from smaller number to larger number) 81 – 37 37 + 3 = 40 40 + 40 = 80 80 + 1 = 81 3 + 40 + 1 = 44 Can also be shown on a number line.

  19. Common addition & subtraction situations

  20. AIMS vs. Parcc

  21. 4th Grade AIMS Example

  22. 4th Grade PARCC Example Type I: Tasks assessing concepts, skills and procedures

  23. 4th Grade PARCC Example Ms. Morales has a bag of beads • She gives Elena 5 beads • She gives Damian 8 more beads than Elena • She gives Trish 4 times as many beads as Damian Ms. Morales than has 10 beads left in the bag. Part A How many beads did Damian and Trish each receive? Show or explain how you arrived at each answer. Part B How many beads were in Ms. Morales bag before any beads were given to students?

  24. 4th Grade PARCC Example Type III: Tasks assessing modeling/applications

  25. How can I support my child in math?Homework Ask questions when your child gets stuck. • How would you describe the problem in your own words? • What do you know from the problem? • What do you want to find out? • Would it help to create a diagram? Draw a picture? Make a table? • What did classmates try when solving these problems?

  26. How can I support my child in math?Homework So they have an answer to the problem, great! Check for understanding by asking questions! • How did you get your answer? • Does your answer seem reasonable? • Does that make sense? • Why is that true? • How would you prove that? • Can you think of another strategy that might have worked? • Is there a more efficient strategy? • Do you think this may work with other numbers? • Do you see a pattern? Can you explain the pattern?

  27. How can I support my child in math?On the Web! • Dreambox can be accessed at home

  28. How can I support my child in math? Work on FLUENCY! • Kindergarten: add and subtract within 5 • First grade: add and subtract within 10 • Second grade: all sums of 2 one digit numbers and add and subtract within 20 using mental strategies

  29. How can I support my child in math? Play some games! • Cards • Cribbage • Using a Football or Soccer ball • Pool noodles (base ten)(in the pool) • Dice • License plate game • Board games (i.e. Candy Land, Trouble, Chutes and Ladders, Monopoly, Yahtzee) • Counting (anything and everything) “Playing games have proven to me that it really does build fluency.” ~Mrs. Tullo (Kinder)

  30. Parent resources http://www.kyrene.org/Page/2770

  31. Parent resources http://www.azed.gov/standards-practices/mathematics-standards/

  32. Parent resources

  33. Parent resources http://pta.org/parents/content.cfm?ItemNumber=2910

  34. Parent resources

  35. Thank You for Coming! Liz Morris Math Coach emorris@kyrene.org Lisa Liberta Assistant Principal lliber@kyrene.org

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