# 📖 Standards

CCSS.MATH.CONTENT.4.NBT.B.6
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

CCSS.ELA-LITERACY.W.4.3
Write narratives to develop real or imagined experiences or events using effective technique, descriptive details, and clear event sequences.

40-45 minutes

## 📲 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. Schools that are part of the Growing Math project or who have a 7 Generation Games site license have access to the game for students to use at home or school.

## 📃 Summary

This is a fun lesson where students practice division, combined with Ojibwe history and then complete a creative writing assignment.

## 1. Game Play with Making Camp

1. Open Making Camp. Go to the main choices screen by clicking on the small green icon with boxes at the lower left of the screen.
2. Click NUMBERS.
3. Click the box with the numbers to practice division.

Students should play until they earn at least 15 points.

### 2. Spend the points earned and learn about Ojibwe history

One of the best teachers we know said, “History is more than names and dates. It’s how people lived. It’s the things they used.” When trading for a wigwam, students will watch videos on how to build a wigwam and on trading. They’ll learn that tribes traded with one another for hundreds of years.

### 3. Short story writing prompt

So how did we get from a refrigerator to a wigwam? You can use this Google slides presentation to tie in Native American history with Sam’s life in the twenty-first century. This presentation can also be added to your Google classroom as an assignment for students. Here is the introduction for Sam and his account:

This is Sam. He’s also Ojibwe but he’s not from a long time ago. He’s 16 years old. He lives on a reservation in the northern United States. You’ve probably heard of it. He doesn’t live in a wigwam. He lives in a white house with a grey roof. That’s the refrigerator in his house. The magnets have been there ever since he was in second grade.

### 4. Writing assignment

Read about Sam and write a story about him. What do you think happened to him in second grade? Why does everyone except for his cousin, Angie, think he’s not smart? Do you think he and Angie can really walk to Maine?

## Assessment

Math problems in Making Camp Premium are scored automatically. You can see how many students attempted and the number correct in the data reports. All Growing Math teachers and all schools with 7 Generation Game licenses receive access to these reports. Writing assignments can be assessed according to the teacher’s own rubric.

### State Standards

Minnesota Math Standard 4.1.1.6 – Use strategies and algorithms based on knowledge of place value, equality and properties of operations to divide multi-digit whole numbers by one- or two-digit numbers. Strategies may include mental strategies, partial quotients, the commutative, associative, and distributive properties and repeated subtraction.

Minnesota Math Standard 5.1.1.1 – Divide multi-digit numbers, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms. Recognize that quotients can be represented in a variety of ways, including a whole number with a remainder, a fraction or mixed number, or a decimal.

# Finding the perimeter & physical education

## 📖 Standards Taught

CCSS.MATH.CONTENT.2.G.A.1

Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal face

CCSS.MATH.CONTENT.3.MD.D.8 Solve real world and mathematical problems involving perimeters of polygons

## ⏰ Time

45 – 50 minutes depending on the time you allot to students for measuring objects and for playing the game.

## 📲 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. A phone or tablet with a measuring app is optional. If unavailable, students can use a ruler or tape measure instead. NOTE: The measure app comes on iPhone/ iPad by default but for an Android device you’ll need to install some type of measuring app.

Note: This is the first of three lessons using these apps, so once you have them installed, you will be set for the next two.

#### Measure: For iPhones or iPads

If using an iPhone, the Measure app should already be installed. On iPads, it may not be. Before starting this lesson, we recommend you check and, if not, parents or teachers can download the app for free here.

#### For Android Devices

Android devices do not come with a measure app. I tried several free AR measurement apps and all were difficult to use. I can’t honestly recommend any. Not an augmented reality app, but students can use the Ruler app by NixGame. It is simply a ruler on a phone and you can only use it to measure items the length of the phone/ tablet. We tried a lot of ruler and measure apps on Google Play and this is the one we recommend as the easiest for elementary school students to use and with the least annoying ads.

## 📃 Summary

Finding the perimeter activities can be fun in school or out. This is an activity recommended for children learning at home, so the instructions below target what you would send to parents, but this activity can be easily adapted for in-school use as well. Best of all, it combines math with P.E. ! Students watch a video, find the length and width of 10 objects and compute the perimeter. After the hands-on activity, students watch another video to reinforce the concept and then play the Making Camp Premium game to practice their multiplication and division.

Materials needed:

1. A piece of paper
2. A pen or pencil
3. A phone or tablet – if not available, a measuring device like a ruler, measuring tape or yardstick can be used instead.

## 📚 Lesson Plan

### Step 1: Watch the perimeter video

As you might guess from the title, this video explains how to find the perimeter of an object and how to determine if a shape is a polygon.

### Step 2. Make a table like in the example below

You can have a Google Doc you share with students with the table in the instructions. However, we recommend that students create their own table with a piece of paper because they are going to be wandering around the house or classroom and it is much easier to carry a piece of paper with you than a laptop.

For this exercise, every object should be a rectangle. Be prepared for the question,

“Is a square a rectangle?”

Yes. Yes it is. If you want to get technical about it, a rectangle is a quadrilateral with four 90 degree angles. Or you could just say yes, a rectangle is a shape with four sides that are not slanted and a square definitely has four sides and is not slanted.

## Step 4. Go measure 10 rectangles in the house

This is where the physical education comes in. Tell the student he or she has 10 minutes to complete the table with 10 items. An item can be as small as a box of candy or as big as the floor of a room. For each rectangle, write down the name of the object, the length and the width. Just put the whole number. If it says 18 1/4 or 18 1/2 just put 18. You may be tempted to tell the student to just round it but remember, he or she may not have learned fractions yet. That’s a lesson for another day.

If you don’t happen to have a ruler, yardstick or tape measure, your phone may already have a Measure app. This comes by default with an iPhone and if you don’t see it right away look in the Utilities folder. Most kids this age take any opportunity they can get to get hold of a parent’s phone. In school, you can use iPads or go old-timer and use a ruler.

To use it, point at a surface and click to select a point. Then, move the phone until you are at the end of what you want to measure.

Depending on how much exercise you want your child to get, the size of your house and how much peace you need (I won’t judge you), you may want to add a few rules like:

• None of the objects can come from the room you are currently in.
• They need to find rectangles in at least 3 different rooms
• They need to find at least one rectangle in the backyard/ garage/ basement.

Once you have shown your child how to use the measure app and they have the table and a pencil, set the alarm on your phone and tell them to go. The alarm will go off when the 10 minutes are up.

Check their number of rectangles and if they are a few short give an extra 2- 5 minutes to find the rest.

#### Don’t have an iPhone or iPad?

The Ruler app can be downloaded free from Google Play and used to measure small objects. It only works to the size of your device but it is still easy to use and fun. There are apps in Google Play similar to the iPhone Measure app but these are not available on all Android phones.

## Step 4 Watch another video on perimeter

Why? Because experience shows that students often don’t remember something if they only heard it once.

### Step 6: Play Making Camp Premium

Tell students that these videos came from Making Camp Premium and now that they have finished the rest of the assignment they have 10 minutes to play.

## Assessment

This lesson includes three types of assessment, the table of measurement, the perimeter computations from those measures and the automated data collection and scoring from the Making Camp Premium reports.

### Related Lesson

The next lesson in this series is Measurement and Augmented Reality .

### State Standards

Minnesota Math Standard 2.3.1.1 – Describe, compare, and classify two- and three-dimensional figures according to number and shape of faces, and the number of sides, edges and vertices (corners).

Minnesota Math Standard 3.3.2.2 – Find the perimeter of a polygon by adding the lengths of the sides.

# 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. 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.

### 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:

1. 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.
2. Students write their own number sentences using the multiplication learned each lesson.
3. Students complete the problems written by their classmates.
4. Optionally, students write word problems.
5. Optionally, student complete word problems written by their classmates.
6. 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.