Elementary Mathematics (Valentina Bitsoie)

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Elementary Mathematics (Valentina Bitsoie)

Week Four

Multiplication Algorithms/Methods

Multiplication Methods:

Method 1) Build up

This method is build up from what we know or considered mental math.

Ex. 12(11)

start with 12(10)= 120

then add 12 more which equal 132

Method 2) Multiplication with base 10 blocks

This method is using base ten blocks as a table.

https://www.coolmath4kids.com/manipulatives/base-ten-blocks

Method 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

Properties and Subtraction Algorithms

Subtraction Algorithms:

Expanded Form: 56-23=

56-20=36

36-3=33

Equal Addends: 524-158=

534+42=576

-158+42=-200

376

Problems in Different Bases:

53 bases 6 -14 base six=

algorithms: equal addends

53 six -14 six

53 six+ 2= 55 six

14 six +2= -20 six

35 six

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

Introduction: Properties and algorithms of subtraction and multiplication.

Week Three

Standard Algorithm of Addition

The YouTube video helped me understand how to do standard algorithm of addition in different bases.

Standard Algorithm:

521

+371

892

Partial Sums:

435

+389

400+300=700

30+80=110

9+5=14

=824

Lattice 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

862

Adding with bases and using different algorithm

35 base nine

+57 base nine

0 1

8 3

103 base nine

Order of operation

Order of operation: Solved from left to right whether its

1) Parenthesis ()

2) Exponents (9^2)

3) Multiplication/Division

4) Addition/Subtraction

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

Introduction to order of operation, various algorithm of addition.

Week Two

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

Assignment of exploring different bases

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

Converting bases

used an online converter to check my work

Binary System

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

Week One

Class Session One/Two

Learned the difference of units

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.

History of One:

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.

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

Intro to MTE 280

Mindmap Overview with examples and rubric

Professor introduction, syllabus, expectation, and overview.