Numbers, Operations and Proportional Reasoning for K-8 Teaching Weeks 1-6

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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

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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