Numbers, Operations and Proportional Reasoning for K-8 Teaching Weeks 1-6
The focus of Week 3 was on expanding subtraction skills using alternate algorithms such as decomposing and equal addends, while also introducing foundational concepts in multiplication through methods like the array or groups area model.
Numbers, Operations and Proportional Reasoning for
K-8 Teaching
Week 5
Week 5 Notes
In Week 5 we discussed adding the Inverse for Hector's Method
To use Hector's Method in Subtraction we must then use the
KEEP CHANGE CHANGE rule
We also worked on fraction algorithms , multiplying fractions
Also worked on less than or greater than for fractions n
Using Anchor fractions
Week 5 Assignments
*W5D1 HW: Solve Subtraction/Show Mult Integers
*W5D2 HW: Show and solve subtractions
*W5D3 HW: Solving Fractions and Comparing Fractions
Week 4
Notes from Week 4
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
division algoithim
Week 3
Subtraction Expanded Form
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
Week 2
Regrouping Algorithim
Base 10 System
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
Week 6
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
Add text
Week 1
Juggling How To
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
