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    • Building Blocks 2 - Factors & Multiples
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Lorraine Baron's Math Site:

Building Blocks 1

Multiplication Skills and Facts
Activity: Multiplication Chart

In any grade, a student’s knowledge of the basic multiplication facts comes in handy – it is never too late to learn basic multiplication facts.  This activity, among others, can be used repeatedly throughout all grades.    Click on "Download File" to see the teacher and student pages.

How this activity is implemented does matter.  It is important to know multiplication facts, but it is most important to make sense of them.  I hope you take a look at the first attachment and try it out as suggested.  How did it go? If you would like to, please provide feedback on the blog page.
Picture
This file has the teacher directions and information.
baron_-_multiplication_facts_activity.pdf
File Size: 61 kb
File Type: pdf
Download File


This file is for student use.
baron_-_multiplication_facts_activity.2.pdf
File Size: 43 kb
File Type: pdf
Download File


Activity: Divisibility Rules with the Multiplication Chart

Divisibility rules can be introduced (or re-introduced) using the patterns in the Multiplication Chart. 

It has been said that math is "the science of patterns" (Steen, 1988).   Students really "get" math when they trust in those patterns.  Rules and tricks don't cut it.  If a student doesn't get the opportunity to make sense of a concept and really see the patterns, they will not value the mathematics.


If you decide to implement this resource, you may find that students need help with the divisibility rule for 3.  Once you have given them some time to struggle with what might be the rule,  you can ask: "What happens when you add the digits?"   However, the rest of the rules are pretty self-evident, and students should be able to answer them on their own (or in groups).  Discuss them as a class once they have had some time to ponder :)

==========================================
Reference:
Steen, L. A. (1988). The science of patterns. Science, 240(4852), 611-616. doi:10.1126/science.240.4852.611


Download these files for the Divisibility Rules activity page and answer key.

baron_-_divisibility_rules.pdf
File Size: 50 kb
File Type: pdf
Download File

baron_-_divisibility_rules_-_key.pdf
File Size: 63 kb
File Type: pdf
Download File


Picture
To learn more about digital roots, this is a truly excellent book that every teacher and parent should own. 
Click on the image above  for more information.

Another favourite place of mine is a site that happens to be British:  Absolutely Peachy!
...and great DIgital Root activities too: https://nrich.maths.org/5524

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Photo used under Creative Commons from Holger Zscheyge
  • Home
  • Basics
    • Building Blocks 1 - Factoring
    • Building Blocks 2 - Factors & Multiples
    • Building Blocks 3 - Fractions, Decimals, Percents
    • Building Blocks 4 - Why Exponent Laws?
    • Building Blocks 5 - Perfect Squares and Square Roots
    • Building Blocks 6 - Multiplying and Dividing Fractions using Area Model
    • Building Blocks 7 - Adding Fractions
  • Algebra Basics
    • Multiples of x
    • Equivalent Rational Expressions
    • FOIL with and without Algebra
    • Linear Relationships
  • High School Curriculum
    • Basics - Proportional Reasoning
    • Arithmetic Sequences and Linear Functions
    • BC Teaching Notes
  • Applets and Video
    • Arithmetic Sequences
    • Introduction to Polynomial Functions
    • Intro to Graphing Quadratics
    • Translations of Quadratic Functions
    • Expansions and Compressions of Quadratic Functions
    • General and Vertex Forms & Algebra Tiles
    • Applications of Quadratic Functions
    • Review of Quadratics
  • Manipulatives
    • Sourcing Algebra Tiles
    • Alternative to Hands-On
  • About me
    • Videos and Songs
    • Publications and Teaching Notes
  • Blog
  • MY FAVE WEBSITES