multiplication


  • Grumpy Cat Multiplication

    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…


  • CCSS MATH Coherence Map – 3rd Grade Groups of Objects to HS Slope

    CCSS MATH Coherence Map –  3rd Grade Groups of Objects to HS Slope

    A hidden treasure is the Common Core of State Standards Math Coherence Map. It is an interactive flow chart that shows connections between the various standards. If you are teaching math, you can see the connections between what you are teaching, what was taught previously, and how you are preparing students for their future math…


  • CCSS MATH Coherence Map – 3rd Grade Groups of Objects to HS Slope

    CCSS MATH Coherence Map –  3rd Grade Groups of Objects to HS Slope

    A hidden treasure is the Common Core of State Standards Math Coherence Map. It is an interactive flow chart that shows connections between the various standards. If you are teaching math, you can see the connections between what you are teaching, what was taught previously, and how you are preparing students for their future math…


  • Multiplication Problems as Intro to Unit Rates and Slope (follow up)

    Multiplication Problems as Intro to Unit Rates and Slope (follow up)

    I previously related elementary school word problems with math topics in secondary schools. The photo below shows a method to help elementary school students unpack the multiplication problem, to help middle school students identify the unit rate, and to help algebra students identify slope (you can focus on simple problems like this as an entry…


  • Hack for Multiplication (and division) Facts

    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…


  • Handouts for Multiplication and Unit Rate Word Problems

    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…


  • Slippery Slope – 3rd Grade Multiplication Word Problems to Slope in Algebra

    Slippery Slope – 3rd Grade Multiplication Word Problems to Slope in Algebra

    Top left is a scaffolding I use to help students learn to solve math problems using multiplication (3rd grade). The situations are typically rate problems (e.g., 5 pumpkins per plant or $2 per slice of pizza) although the term “rate” is not used yet. The same concept of rate plays out in high school with…


  • Addressing Multiplication as a Gap

    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…


  • Multiplying and Carrying a Tens Digit

    Carrying the TENS digit in a multiplication problem is a sticking point for many students. To address this, I use a task analysis approach to zero in on the step of identifying the product for the ONES as a prelude to carrying. In the example below, 5 and 4 are in the ONES place and…


  • Superhero Math

    Superhero Math

    I was recruited to help a middle school student who is having a very rough time at this time in his life. It was shared with me that he likes Marvel superheroes and he is struggling with counting money and multiplication. Below are some ideas I presented for a test run and photos of the…