Unit 2 - Multi-Digit Multiplication and Early Division
In this unit, we'll continue to build multiplicative reasoning. Throughout the unit, students will be encouraged to develop a wide variety of strategies so they can choose the most efficient ones to use. We will use base-ten pieces to physically model multi-digit multiplication problems before drawing arrays and using ratio tables (two models from Unit 1). We'll look for patterns in place value and what happens when we multiply by multiples of ten. We'll solve story problems. Finally, we'll begin modeling early division and determining what to do with remainders. Click here for the Unit 2 Family Letter.
Models and Strategies
Open Arrays/Area Models
We will continue to build upon the strategy we learned in Unit 1. Click here to watch the video from the Unit 1 page for a refresher on open arrays/area models.
Click This presentation to help you further understand the array model. Make sure you use the "Fast Forward" (>>) button to go to Session 4, and click the blinking green "Play" button (>).
Parents, click here for an article that explains how array models can be helpful for developing a solid understanding of multiplication and division!
Doubling and Halving
This strategy promotes efficiency in solving multiplication problems. Just think about this:
15 x 18 = ?
Chances are, you probably don't know the answer to that problem right off the top of your head.
Let's try doubling one factor and halving the other to see what happens!
30 x 9 = ?
What do you know about multiplication that can help you answer that question now?
Can you use the second problem to answer the first one?
GamesMany of the games from Unit 1 will still be helpful during Unit 2, especially if you need a little more practice with computational fluency! One new game is listed below.
Math Magician - this game can help with all operations; I suggest clicking "Multiplication" and "Mixed" for facts
In this unit, we'll continue to build multiplicative reasoning. Throughout the unit, students will be encouraged to develop a wide variety of strategies so they can choose the most efficient ones to use. We will use base-ten pieces to physically model multi-digit multiplication problems before drawing arrays and using ratio tables (two models from Unit 1). We'll look for patterns in place value and what happens when we multiply by multiples of ten. We'll solve story problems. Finally, we'll begin modeling early division and determining what to do with remainders. Click here for the Unit 2 Family Letter.
Models and Strategies
Open Arrays/Area Models
We will continue to build upon the strategy we learned in Unit 1. Click here to watch the video from the Unit 1 page for a refresher on open arrays/area models.
Click This presentation to help you further understand the array model. Make sure you use the "Fast Forward" (>>) button to go to Session 4, and click the blinking green "Play" button (>).
Parents, click here for an article that explains how array models can be helpful for developing a solid understanding of multiplication and division!
Doubling and Halving
This strategy promotes efficiency in solving multiplication problems. Just think about this:
15 x 18 = ?
Chances are, you probably don't know the answer to that problem right off the top of your head.
Let's try doubling one factor and halving the other to see what happens!
30 x 9 = ?
What do you know about multiplication that can help you answer that question now?
Can you use the second problem to answer the first one?
GamesMany of the games from Unit 1 will still be helpful during Unit 2, especially if you need a little more practice with computational fluency! One new game is listed below.
Math Magician - this game can help with all operations; I suggest clicking "Multiplication" and "Mixed" for facts