Resources

Arithmetic

Lumen: Arithmetic

Khan: Arithmetic

Pre-Algebra & Algebra

MathPlanet: Pre-Algebra

Lumen: Beginning Algebra

Lumen: Elementary Algebra

OpenStax: PreAlgebra

CK-12: Elementary & Intermediate College Algebra

Geometry

ck-12: Basic Geometry Concepts

Statistics & Probability

CK-12 Basic Probability and Statistics

Lumen: Introduction to Statistics

LibreTexts: Probability

Saylordotorig: Intro Statistics

Math is Fun: High School Statistics Curriculum

Significant Statistics: An Introduction to Statistics

Business/Finance Math

BC Campus: Business/Technical Mathematics

Open Library: Business and Financial Mathematics

Mathematical Thinking

Introduction to Mathematical Thinking” (Stanford)

Personal Finance

Open Textbook Library: Personal Finance

Copy Into Blogger

https://math.typeit.org/

symbolab (solve equations)

Number Line Maker

Number line maker

Mathbot line maker

Base Ten Blocks Maker

Coolmath4kids base ten blocks

Mathlearningcenter base ten blocks

Misc

The Principles of Mathematics: Bertrand Russell

INTRODUCTION TO MATHEMATICAL PHILOSOPHY: BERTRAND RUSSELL

Math dictionary

What Exactly is Multiplication?

Adding It Up: Helping Children Learn Mathematics

Stanford neuroscience research identifies more effective way to teach abstract math concepts to children

http://betterexplained.com/articles/rethinking-arithmetic-a-visual-guide/

https://books.google.com/books?id=aCOSu1aL9OgC&printsec=frontcover&dq=basic+math&hl=en&sa=X&ved=0ahUKEwj16OfYq-3JAhVFSSYKHWjfD1w4ChDoAQg-MAM#v=onepage&q=basic%20math&f=false


Fifth Grade Math Common Core Standards

https://mathscinet.ams.org/msc/msc2010.html

https://math.berkeley.edu/~wu/

Common Core Sheets

Math-Aids.com

Wolfram Math World

Partial Product Method of Multiplication

Partial Products Algorithm

1) Write the two numbers that are to be multiplied in expanded form.

2) Multiply each part of the expanded form of one number (the multiplier) by each part of the expanded form of the other number (the multiplicand).

3) Add the partial products

Example
Multiply 84 and 36 using the partial products multiplication method.

1) We expand 84 and 36.

84 x 36 = (80 + 4) x (30 +6)

2) We multiply each part of the expanded form of 84, with each part of the expanded form of 36.

= (6 x 4) + (6 x 80) + (30 x 4) + (30 x 80)

= 24 + 480 + 120 + 2400

3) We then add the partial products.

= 3024




Multiplying 23 x 19 Using Partial Products
Khan: Multiply by 2-digit numbers
Splashlearn: Partial Product
Teaching People: How to Teach Partial Products in Multiplication

Algorithm & Standard Algorithms

An algorithm is a finite sequence of explicitly defined, step-by-step computational procedures which ends in a clearly defined outcome.(1) Though there are various algorithms for the four arithmetic operations, there are standard algorithms which had been traditionally taught to students. Note, the standard algorithm methods vary somewhat by nation and time but the underlying mathematical ideas remain the same. There has been much debate regarding the teaching of standard algorithms resulting in differing levels of emphasis in various school curriculums. 

(1) Understanding Numbers in Elementary School Mathematics

Math Matters: Understanding The Math You Teach

Thoughts on Conceptual Understanding

How Common Core Brought Attention To The Math Education Debate