Numbers, Operations and Proportional Reasoning for
K-8 Teaching

We started week 1 with Mr. Milt telling us about himslef and
career path that led him to ASU.
Week one also involved a survey telling a little about ourselves , and
what we hoped to get out of the class . We were provided links for manipulatives needed to show our work as well.
During Week 1 , Mr. Milt juggled an entire class. Later we discussed why we couldn't just instantly juggle because he showed us once. Relating this to understanding how we as teachers can not expect a student to instantly pick up a skill just beacuse we have showed them once or twice.
We discussed as a class the preferred way to hand in homework and to use the answer keys provided to do " Self Evaluations"

Assigments for Week 1
* Replying in Comments
* Pigs & Chickens Excercise
* Juggling Video Submitted

Juggling How To

This week we started with the 2nd exam
Followed by a video on Order Of Operations
We learned how to Build & Show adding / subtracting / and multiplying fractions.
We discussed how to work with and use different manipulatives for showing add/ sub/ multiply fractions
A second video was for showing adding fractions as well

For Week 2 we discussed preporations for the Mind Map assignment
at length. Given an exapmle and suggestions for Mind Mapping software.
As a class we discussed what our undersstanding of the terms :
Cardinality
One -to One Correspondence
Subitizing
Mr. Milt shared his preferred system for using 5 frames to better help a student understand getting from 5 to 10.
We began being introduced to Alternate Alorithims for Addition and how to use our Base 10 blocks
Alternate Algorithims Learned : Expanded form , Left -To Right ,
Friendly Numbers / Trading Off , Scratch Method , and Lattice for Addition
Also Discussed if each algorithim met the 3 requirments :
1. Is it based in math principals ?
2. Is it efficient?
3. Is it repeatable?

Assignments for Week 2
*W2 D1 HW: Build and Show Adding Bases
*W2 D2 HW: Alt Algorithms Add

*W2D3 HW: Add using Alt. Algorithm
*W2 D4 HW: Build-Show Subtraction

Base 10 System

Regrouping Algorithim

In Week 3 we began to take what we learned in the addition
Algorithms and apply that to subtraction
Alternate Algorithms used for subtraction :
Decomposing ( Expanded Form)
Left to Right
Equal Addends
Introduction to Multiplication Alt. Algorithms :
Array or Groups
Area Model
Expanded Form
Left to right
Lattice
We also discussed when to SHOW , BUILD , or SOLVE our answers.
Build = Concrete , using blocks
SHOW= Pictorial , Draw
SOLVE= Abstract , area model

Assignments for Week 3

*W3 D1 HW: Showing Subtraction and Intro Multiplication
*W3D32Agenda: Multiplication

*W3D3 HW: Solve Multiplication with Alt Algorithms

Subtraction Expanded Form

division algoithim

In Week 4 we went over division algorithms
Discussed the best way for students to think of a division problem
Learned alternatives for Long division:
Repeated Subtraction , Upwards Division , & Prime Factorization
We also learned the Divisibilty Rules and how to use the color counter manipulatives for negative & positive numbers

Assignments for Week 4
*W4 D2 HW: Alternative Alg Division
*W4D3 HW: Build/Show Intro and Add Integers

*W4D4 HW: Solve Adding Integers

Week 5 Assignments
*W5D1 HW: Solve Subtraction/Show Mult Integers
*W5D2 HW: Show and solve subtractions
*W5D3 HW: Solving Fractions and Comparing Fractions

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