Elementary Mathematics (Valentina Bitsoie)

Week One

Intro to MTE 280

Professor introduction, syllabus, expectation, and overview.

Mindmap Overview with examples and rubric

Class Session One/Two

Objective: I will learn the history and various numeral systems that will introduce the base and binary system.

History of One:

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Discussion: What was surprising to you about the number systems? That discovery of one and zero made a big impact to numeral system, but to our future as well. Example: technology was created by pattern of one and zero.

Learned the difference of units

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Explored different bases; such as unit(cube) is one, long (a line of cubes) is ten, and a flat (single big square) is hundred. Then explored how it would look in different bases.

Week Two

Introduction to bases, numeration systems, and whole number operation.

Objective: I will and understand different bases and whole number operation.

Assignment of exploring different bases

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Assignment introduced how to convert base ten into other various bases. For example 100 base six converted to base ten is 36.

Websites that helped me complete my assignment

Binary System

Converting bases

used an online converter to check my work

Week Three

Introduction to order of operation, various algorithm of addition.

Objective: I will learn and understand order of operation and different algorithms of addition to help solve linear equations with difference base system.

Order of operation

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Order of operation: Solved from left to right whether its1) Parenthesis ()2) Exponents (9^2) 3) Multiplication/Division4) Addition/Subtraction

Standard Algorithm of Addition

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The YouTube video helped me understand how to do standard algorithm of addition in different bases. Standard Algorithm: 521+371 892Partial Sums: 435+389400+300=70030+80=1109+5=14=824Lattice Algorithm:similar to expanded algorithm and uses diagonals to achieve regrouping.Column Addition: 4 9 7+ 3 6 5 7 15 12 8 5 12 862Adding with bases and using different algorithm 35 base nine+57 base nine 0 1 8 3103 base nine

Week Four

Introduction: Properties and algorithms of subtraction and multiplication.

Objective: I will learn the different properties, algorithms, and methods for subtraction and multiplication with manipulative blocks to understand different bases.

Properties and Subtraction Algorithms

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Subtraction Algorithms:Expanded Form: 56-23=56-20=3636-3=33Equal Addends: 524-158=534+42=576-158+42=-200 376Problems in Different Bases:53 bases 6 -14 base six=algorithms: equal addends53 six -14 six53 six+ 2= 55 six14 six +2= -20 six 35 six

Multiplication Algorithms/Methods

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Multiplication Methods:Method 1) Build upThis method is build up from what we know or considered mental math.Ex. 12(11)start with 12(10)= 120then add 12 more which equal 132Method 2) Multiplication with base 10 blocksThis method is using base ten blocks as a table. https://www.coolmath4kids.com/manipulatives/base-ten-blocksMethod 3) Multiplication arrays This is the creating array of numbers to visualize the product. Like, https://quizizz.com/_media/quizzes/b7e8e498-427c-4f08-850b-81ef6ddbb233_900_900

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