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Welcome Matthew Finacchio Supervisor of K – 5 Mathematics & ALPS 609-631-4100 ext 3004.

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Presentation on theme: "Welcome Matthew Finacchio Supervisor of K – 5 Mathematics & ALPS 609-631-4100 ext 3004."— Presentation transcript:

1 Welcome Matthew Finacchio Supervisor of K – 5 Mathematics & ALPS ext 3004

2 Agenda Welcome and Introductions Online Support Background of Concept Building Developing Fluency of Basic Facts Overview of Accessible Algorithms Practice Accessible Algorithms

3 Free Online Support Math Background Access to Algorithms Visual Support Math Mountain Cards Product cards Secret Code Cards Etc…

4 Building Concepts Use a variety of accessible algorithms (strategies), manipulatives, and math drawingsUse a variety of accessible algorithms (strategies), manipulatives, and math drawings –Connect to real world Informal and formal math language/vocabularyInformal and formal math language/vocabulary Link drawings to math talk and written math notationLink drawings to math talk and written math notation Know WHY, not just HOWKnow WHY, not just HOW

5 Math Mountains Adding & Subtracting = 4 Total/Sum Partner/Addend

6 Unique Resources Math Mountain Cards  Students can add and subtract with one set of cards  Reinforce addition and subtraction as inverse operations

7 Understanding to Fluency Count-on Cards  Keep the larger number in your head  Dots provide “conceptual support”

8 Addition Algorithms

9 Accessible Algorithms New Groups Above Traditional Method Steps: = 11 2.Place the one and Regroup the Ten 3.Add

10 Accessible Algorithms New Groups Below Steps: 1.Add the ones 2.Place ten on line below tens 3.Add =

11 Accessible Algorithms Show All Totals Steps: 1.Add tens OR ones 2.Add separate totals together to find answer

12 Proof Drawings

13 Accessible Algorithms Expanded Method Need to Ungroup = Multi-Digit Subtraction

14 You can subtract 100 from 300 You can’t subtract 50 from 40 You can’t subtract 8 from 7 You need to ungroup. After you ungroup you can subtract. Remember in a Subtraction Proof Drawing X stands for ungrouping and – (crossing out) stands for subtraction X x You are left with = 189 Subtraction Proof Drawing

15 Accessible Algorithms Multi-digit Subtraction Ungroup, then subtract across Left to Right Right to Left

16 Accessible Algorithms MULTIPLICATION

17 Background Knowledge 7 X X 2, 7 X 2, 7 X 2, 7 X 2 (7 X 4) + (7 X 4) 7 X 5 = 35 and 7 X 3 = 21, X 7 = 49 and 7 X 1 = 7,

18 3 - Count-bys 3 = 1 * 3 6 = 2 * 3 9 = 3 * 3 12 = 4 * 3 15 = 5 * 3 18 = 6 * 3 21 = 7 * 3 24 = 8 * 3 27 = 9 * 3 30 =10 * 3 3 / 1 = 3 6 / 2 = 3 9 / 3 = 3 12 / 4 = 3 15 / 5 = 3 18 / 6 = 3 21 / 7 = 3 24 / 8 = 3 27 / 9 = 3 30 /10 = / 3 = 1 6 / 3 = 2 9/ 3 = 3 12 / 3 = 4 15 / 3 = 5 18 / 3 = 6 21 / 3 = 7 24 / 3 = 8 27 / 3 = 9 30 / 3 = 10 1 group of 3

19 Please use the dot array paper in the back of your packet to draw a 12 by 11 box. Dot Drawings

20 Always represent in groups of 10’s first 102 1

21 Multiplication X Area Model/Rectangle Sections Method +

22 Multiplication = = X 10 X 10 = X 2 = 20 1 X 10 = 10 1 X 2 = Expanded Notation

23 Multiplication X 11 = (10 + 2) X (10 + 1) = Algebraic Notation Method = 132

24 Accessible Algorithms Division

25 Problem To Solve 192 / 6 =

26 Accessible Algorithm Division Rectangle Sections Method = 32

27 Accessible Algorithm Division Expanded Notation Form

28 Accessible Algorithm Division Digit by Digit Method Traditional

29 Extra Practice

30 Accessible Algorithms Area Model 78 X ,

31 Multiplication Expanded Notation 78 = x 36 = x 8 = x 70 = 2,100 6 x 8 = 48 6 x 70 = 420 2,808 Short Cut Method 78 X ,340 2,808

32 Equal Shares Drawing Ben arranged his soccer trophies into 3 equal rows. If he has 12 trophies, how many trophies are in each row? Draw a picture to show your answer.

33 Thank you!


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