Intro to Multiplication – A Sequence of Lessons

Below are photos from multiple lessons to introduce multiplication. They are combined into a single document. I use a task analysis approach to first develop conceptual understanding of multiplication as repeated addition. This is followed by skip counting and then using skip counting to multiply. The lessons are not necessary completed in a single day.… Continue reading Intro to Multiplication – A Sequence of Lessons

Addressing Multiplication as a Gap

There is a delineated sequence for teaching multiplication over the years, including repeated addition, set modeling, arrays, single digit etc (below). It exists to build conceptual understanding of the multiplication facts that are at some point memorized by many students. When I work with students who are a more than a year behind in the… Continue reading Addressing Multiplication as a Gap

Hack for Multiplication (and division) Facts

A common method to learn multiplication facts is through skip counting. In turn, this is a means of learning division facts (see next paragraph). The challenge for many students is they struggle to learn the skip count routines or cannot engage brute force memorization effectively (e.g., have a working memory deficit). The challenge with multiplication… Continue reading Hack for Multiplication (and division) Facts

Grumpy Cat Multiplication

If you find this helpful, maybe consider making a small donation to help build an accessible playscape for children with disabilities. Here is a CRA approach to multiplication that can be individualized. I created this one for a student who loves cats. Here is a link to the Jamboard. You make a copy by clicking… Continue reading Grumpy Cat Multiplication

Multiplication, Proportional Relationships, and Slope Word Problems Updated

I posted previously about unpacking word problems involving multiplication or Slope. Here is an update. I have students draw a picture for the quantities identified. The multiplication situations become apparent when groups of objects are arise through the drawing, in contrast to an addition problem (right). This also helps algebra students visualize the rate and… Continue reading Multiplication, Proportional Relationships, and Slope Word Problems Updated

Multiplication by 2-Digit Factor – Scaffolded and Color-Coded

This was used for a student with ADHD who understood how to do the multiplication but would rush and repeatedly made simple mistakes. This grid and color-coding strategy was used as a means of slowing him down. He had to alternate between highlighting and writing each product for an individual multiplication of two digits. This… Continue reading Multiplication by 2-Digit Factor – Scaffolded and Color-Coded

Handouts for Multiplication and Unit Rate Word Problems

Here are excerpts from two handouts I use to help students understand how to write multiplication and rate word problems as math expressions. The image, below at top, shows a problem from the first handout I present. The students draw a single group represented by the rate expression (for elementary school word problems the term… Continue reading Handouts for Multiplication and Unit Rate Word Problems

Multiplication Single Digits – Special Cases

There is easy skip counting for multiplying by 2, 5, 10. Skip counting for 3 and 4 are often more challenging. There is the finger rule and related rules for multiplying by 9. I posted about rules for 6s and 8s (and scaffolding for the rule for 9s). 7s work for students who watch football… Continue reading Multiplication Single Digits – Special Cases

Matching Activity for Multiplication Word Problems (and Creating)

Here is a matching activity on a Google Slides file for various multiplication word problems and matching groups of items. The students use gallery view of the slides and sort them to match. Then they can change the background color with a different color for each word problem and groups. This allows them a visual… Continue reading Matching Activity for Multiplication Word Problems (and Creating)

Multiplication with Integers: a Meaning Making Approach

I previously tackled the difference between the ” – ” symbol used to represent a negative and a subtraction problem. This post gets into multliplication through the context of buying a Wendy’s frosty. One comment to preface what is presented here. Negative numbers are abstract and challenging for many students. Multiplying by negatives is even… Continue reading Multiplication with Integers: a Meaning Making Approach