1 / 11

Multiplication: Building Arrays

Multiplication: Building Arrays. Math Alliance May 18, 2010 Melissa Hedges Beth Schefelker. Finding Easier Facts Inside Hard Facts. What Is your go-to strategy for helping students learn their multiplication facts? What is your back-up strategy when the first one fails?

rvalente
Download Presentation

Multiplication: Building Arrays

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Multiplication: Building Arrays Math Alliance May 18, 2010 Melissa Hedges Beth Schefelker

  2. Finding Easier Facts Inside Hard Facts • What Is your go-to strategy for helping students learn their multiplication facts? • What is your back-up strategy when the first one fails? • What is your Back-up to the Back-up?

  3. What facts do you struggle with? • List 3-4 multiplication facts that you have a hard time remembering. • Think about how you find Your answer or how you remember it? • Share

  4. “What Is a 3 by 4?” • What is an Array? • An array is any arrangement of things in rows and columns, such as a rectangle of square tiles or blocks. • Is there a difference? • Rows • Columns

  5. Breaking Apart a 3 x 4 Array • What are the ways a 3 x 4 array can be broken apart? • (3x3) + (3x1) • (3x2) + (3x2) • (2x4) + (1x4)

  6. Breaking Apart a 3 x 4 Array • What are the ways a 3 x 4 array can be broken apart? • (3x3) + (3x1) • (3x2) + (3x2) • (2x4) + (1x4)

  7. Breaking Apart a Hard Fact 6 x 8 • Pretend you don’t know the Answer to 6 x 8. • Partition the array into no more than 2 easier problems. • Cut apart and glue down the arrays you created. • Keep track of the way you partition them. • Use numbers • Use colors

  8. Connections to Supporting Student Thinking • In what way would this strategy support students who are struggling with math facts? • How might knowing these facts help you solve 6 x 8? • 2 x 8 6 x 4 • 4 x 8 6 x 3 • 5 x 8 6 x 5

  9. Basic Facts for Upper-Grade Students If students haven’t Mastered multiplication facts by 5th or 6th grade need something other than more drill. What Can Be done? • Recognize More Drill Work Won’t help. • Inventory the known and unknown Facts • Suggest Strategies • Diagnose strengths and weakness

  10. Final Thoughts • Students who have command of basic facts do not necessarily reason better than those who haven’t Mastered their facts yet. • Mathematics is about reasoning, patterns and making sense of things. • There is no reason why a child who has not mastered basic facts should be excluded from mathematical experiences.

  11. Homework • Dot Images - Try the activity "Dot Images" numerous times.  Make sure to select images that are challenging and yet appropriate for your students.  Write up a brief description of the images you selected, why you selected them and what insights you gained about how your students ability to visualize multiplicatively. • Splitting Arrays - Complete the practice sheets "Splitting Arrays".  You will be using the practice sheets to split several arrays into helping facts and notate the equations that match each array. You will be asked to use the same arrays and find two different helping facts for each one.  In order to complete this homework, you will receive two copies of the practice sheet.  Follow the directions at the top as well as at the bottom of the sheet.   

More Related