# Multiplying one-digit numbers from 6 to 9

## Standards

CCSS.MATH.CONTENT.3.OA.A.1 – Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each.

CCSS.MATH.CONTENT.3.OA.A.3– Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities.

CCSS.MATH.CONTENT.3.OA.A.4-Determine the unknown whole number in a multiplication or division equation relating three whole numbers.

CCSS.MATH.CONTENT.3.OA.C.7– Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.

## Time

Each lesson will require 20-30 minutes. With the four lesson plans, total time is approximately 1 1/4 to 2 hours spread over one to two weeks.

## Technology Required

Making Camp Premium plays in any browser, so, of course, on Chromebooks. It can also be downloaded on phones or tablets and played offline by students who have limited Internet access. The teacher will need a computer, for showing to students learning from home, and a projector if showing videos in the classroom. If the classroom does not have access to a projector, the videos can be skipped. Spirit Lake: The Game can be downloaded and played on Windows or Mac computers. An iPad version will be available by Fall 2021. Schools that are part of the Growing Math project or who have a 7 Generation Games site license will have access to all of these games for students to use at home or school.

## Summary

Our single-digit multiplication series is for Grade 3, although some teachers find themselves doing this in grade 4. The lesson plans with PDF links for printing and Google slide presentations are provided below. We assume you have already completed multiplication tables for 0 through 5 and for the 10s table. While it may be tempting to do all lessons in one week, we have found it works better to spread this over a two-to three-week unit.

- Students use visual drawings, manipulatives, and a number line to learn multiplication of one-digit numbers, coupled with their verbal explanations.
- Students will create number sentences independently and with a partner.
- Learning and memorizing multiplication patterns will improve later understanding of division.
- Determine the unknown whole number in a multiplication equation relating three whole numbers.
- Optional Brain Power activities have students write their own word problems.
- Students play games that reinforce memory and apply multiplication in word problems.

## Lesson Plans

### Learning from home / hybrid learning tip

Several lessons include an activity, “Work with a partner. Take turns creating your own number sentences and solving them.” This can be modified in three ways:

- In a hybrid class, where students come in half of the days, have students leave the number sentences to be solved by the other half the following day. Of course, students can also do the activity with other students in their class that day.
- If students are learning from home using Zoom or Google Meet, they can post their number sentences in the chat for other students to solve.
- Students at home can include their number sentences in homework they return either in packets or electronically and receive number sentences submitted by other students returned in the same format (homework packets, email, etc.)

If students have unreliable Internet access, the Spirit Lake Demo can be downloaded on Mac or Windows computers and played off line. Installers are available for Windows and macOS.

- For
**Windows**the download link is Spirit Lake Demo for Windows - For
**macOS**the download link is Spirit Lake Beginnings

### Lesson 6 – Multiplying by 6

Tell students that this week they are going to learn how to multiply numbers from 6 to 9. Now that they know most of their multiplication tables from 0-5, they are ready to play Making Camp at the end of the lesson. Start with this Google slides presentation that introduces multiplication and arrays. Feel free to modify the slides to provide more explanation as needed by your students.

**Teaching students at home and need to print out the slides?** Click here for a PDF.

End the lesson by playing Making Camp Premium or Spirit Lake for 15-30 minutes.

### Lesson 7 – Multiplying by 7

Depending on your students’ progress and interest, you may want to hold off on this lesson for another day or jump right into it after the six tables. Personally, I find it works much better if these lessons are spread out across at least one day each. Today’s lesson starts with a Google Slides presentation that practices multiplying by 7.

**Teaching students at home and need to print out the slides?** Click here for a PDF.

End the lesson by playing Making Camp Premium or Spirit Lake for 15-30 minutes.

### Lesson 8 – Multiplying by 8

Almost there! For a little variety, start the lesson with a game, either Making Camp Premium or Spirit Lake. After playing the games, for even more variety, this Google slides presentation shows students how to insert images in Google doc or slides files so they can create their own illustration of concept like 8 x 6 = 48 .

**Teaching students at home and need to print out the slides?** Click here for a PDF.

### Lesson 9 : Multiplying by 9

Hurray! We did it! Today’s lesson covers multiplying by 9, with skip counting, a brief review of arrays, students creating their own number sentences and a little variety with students finding objects around their class or home to show 9 x 9 = 81 or other number sentences you assign/ they create. You may want to modify the Google slides presentation for today to emphasize any area where your students struggled or you think they need a refresher.

After the presentation, students should play Making Camp for 15-30 minutes. If you would like stickers, pencils or other incentives to give your students to congratulate them for learning their multiplication tables to 100, just email support@7generationgames.com and we’ll be happy to send you a teacher gift pack.

End the lesson by playing Making Camp Premium or Spirit Lake for 15-30 minutes.

**Teaching students at home and need to print out the slides?** Click here for a PDF.

## Assessment

Each lesson includes multiple assessment:

- Students complete the multiplication tables – these can be shown with a projector (in class), on a screen, if teaching remotely, and on paper for students learning at home.
- Students write their own number sentences using the multiplication learned each lesson.
- Students complete the problems written by their classmates.
- Optionally, students write word problems.
- Optionally, student complete word problems written by their classmates.
- Making Camp Premium and Spirit Lake both have teacher reports showing the number of multiplication problems attempted and answered correctly.

### State Standards

**Minnesota State Standard 3.1.2.3** – Represent multiplication facts by using a variety of approaches, such as repeated addition, equal-sized groups, arrays, area models, equal jumps on a number line and skip counting. Represent division facts by using a variety of approaches, such as repeated subtraction, equal sharing and forming equal groups. Recognize the relationship between multiplication and division.

**Minnesota State Standard 3.1.2.4** – Solve real-world and mathematical problems involving multiplication and division, including both “how many in each group” and “how many groups” division problems.

**Minnesota Math Standard 3.2.2.2** – Use multiplication and division basic facts to represent a given problem situation using a number sentence. Use number sense and multiplication and division basic facts to find values for the unknowns that make the number sentences true.