Updated:

May 9, 2023

Welcome to a look at how I go about tutoring multiplication and division! One of the things I love about working with kids outside of the public school system is being able to teach interrelated concepts together without worrying about having to stick to a pacing guide or standards. Recently I was asked to tutor a small group of homeschool students (3rd/4th grade) in multiplication and division. I am teaching integrated multiplication and division, fractions as division, and the concepts of multiples and factors all together. We are doing it in a hands on way using visual patterns, games, and manipulatives, and having so much fun!

A complete digital guide with details of what we did each session and the rationale behind it, pictures of the kids and their work, and lists of materials/resources we used with links is now available. Download it on my Stan Store

Here are a few highlights…

Any math class I teach, these are the “big ideas” or rules of math I emphasize from the beginning. Later we will add to #2, what happens in the ones place happens in all the places.

Seeing multiplication visually

Building arrays with square tiles and discovering that a number times itself will actually make a square!
Using grid paper with large squares to color the arrays
Discovering and observing patterns of multiples on a hundreds chart
And patterns on the multiplication chart

Lots of games!

Pet Me (buy here on Amazon)
Multiplication chart puzzle
Buy on Amazon here

Using manipulatives from play dough to integer blocks

Writing with Expo right on the table as we modeled with play dough 🙂
My digital guide explains how we progressed from this to a natural exploration of factors using these blocks!

Visual factors!

Source: YouCubed Week of Inspirational Math

And so much more! Tutoring multiplication and division in an integrated way encourages the kids to think more deeply about the connections of math and understand the processes and vocabulary much better. It’s also a lot of fun!

Go here to download the full guide.

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