# Supervisor of K – 5 Mathematics & ALPS

## Presentation on theme: "Supervisor of K – 5 Mathematics & ALPS"— Presentation transcript:

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

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

Free Online Support www.hamilton.k12.nj.us www.eduplace.com
Math Background Access to Algorithms Visual Support Math Mountain Cards Product cards Secret Code Cards Etc…

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

4 2 2 + 2 = 4 Adding & Subtracting Total/Sum - + Partner/Addend

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

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

Accessible Algorithms
1 78 +23 New Groups Above Traditional Method Steps: 8 + 3 = 11 Place the one and Regroup the Ten Add 101

Accessible Algorithms
New Groups Below Steps: Add the ones Place ten on line below tens Add = 140 78 +65 1 3 13 14

Accessible Algorithms

Proof Drawings

Accessible Algorithms
Multi-Digit Subtraction Expanded Method Need to Ungroup = 189 347 -158 130 200 140 17

X Subtraction Proof Drawing 300 + 40 + 7 100 + 50 + 8 x
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. X x When doing a subtraction proof drawing you only draw the larger number. You still need to look at each place value and regroup before you do any subtraction. You are left with = 189 Remember in a Subtraction Proof Drawing X stands for ungrouping and – (crossing out) stands for subtraction

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

Accessible Algorithms
MULTIPLICATION

Background Knowledge 7 X 8
7 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, 7 X 7 = 49 and 7 X 1 = 7,

30 27 3 - Count-bys 1 group of 3 24 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 / 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 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 21 18 15 12 9 6 3

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

Always represent in groups of 10’s first
2 Always represent in groups of 10’s first 10 1

Multiplication Area Model/Rectangle Sections Method 12 11 + 2 X 10 100 20 10 10 100 20 2 + 132 + 1 10 2

Multiplication 12 = 10 + 2 11 = 10 + 1 100 20 10 2 10 X 10 = 100
Expanded Notation 12 = 11 = 100 20 X 10 2 10 X 10 = 100 10 X 2 = 20 1 X 10 = 10 1 X 2 = 2 132

Multiplication 100 20 10 2 Algebraic Notation Method
12 X 11 = (10 + 2) X (10 + 1) = 10 2 = 132

Accessible Algorithms Division

Problem To Solve 192 / 6 =

Rectangle Sections Method
Accessible Algorithm Division Rectangle Sections Method 30 + 2 = 32 - 12 6 192 12 - 180 12

Expanded Notation Form
Accessible Algorithm Division Expanded Notation Form 2 32 30 6 192 - 180 12 12

Accessible Algorithm Division Digit by Digit Method 3 2 6 192 - 18 1 2

Extra Practice

Accessible Algorithms
Area Model 78 X36 2100 240 420 2808 2,100 240 30 420 48 6

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

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.

Thank you!