# Math Assessment and Ojibwe Culture

## Standard

CCSS.MATH.CONTENT.8.EE.A.1
Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 × 3-5 = 3-3 = 1/33 = 1/27.

NOTE: Although the examples in this assignment use exponents, it could be easily modified to include any area of mathematics above the fourth-grade level.

## TIME

120 minutes – including time to play game and create problems and activities.

## TECHNOLOGY REQUIRED

A projector and computer in class or a computer, phone or tablet at home is required to watch the videos, see the Google slides and play the Making Camp Premium game. It is not required but strongly recommended that students have access to Google apps or Office 365 to edit and store their notes.

## LESSON SUMMARY

This is the first in a multi-lesson unit designed to assess student mathematics proficiency by playing games that teach about Indigenous cultures that have embedded math problems. It also requires students to create their own math activities and math problems.

# LESSON

## Introduce lesson with slide presentation

The objectives, link to the first game and sample questions can all be found in this Slides presentation. The examples here use Exponent Rules and creating a math problem that can be solved with an equation using exponents. However, teachers are free to download the video and modify to fit their own class.

## Watch a video

Even students who are Native American themselves sometimes need to be reminded when asked to apply mathematics to needs of Indigenous communities. This seven-minute video on Tribal Epidemiology Centers is a great example to get students thinking.

## Play a Game

The Making Camp Premium game teaches Ojibwe culture, multiplication and division. Even older students should enjoy the game play aspects and the videos on Ojibwe history and culture. Middle school students should breeze through the math problems. These are recorded in the database for teachers to review student progress.

## Students create their own, grade-level math problems

The slides presentation instructs students, for each math activity, to create an example that could be used at their grade level. The two examples in the presentation use exponents but students are told they can use any mathematics above multiplication and division. That could be fractions, decimals or even long-division. Teachers can modify the slides at the end of the presentation to require a specific topic, for example, adding fractions without a common denominator.

## ASSESSMENT

Making Camp Premium teacher reports are available for assessing student answers in Data and Reports. Students also write their own problems and answers that the teacher can use for assessing abilities at application and creation levels of Bloom’s taxonomy.

## Related Lessons

For students who need an introduction to Google apps and Google doc, the lesson Google Apps Basics for Hamsters is recommended. (You don’t need an actual hamster.)

# Unit: Word Problems for fifth-graders

CCSS.MATH.CONTENT.4.NF.A.2 Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2

CCSS.MATH.CONTENT.5.NBT.A.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

CCSS.MATH.CONTENT.5.NBT.A.3.A Read and write decimals to thousandths

CCSS.MATH.CONTENT.5.NBT.A.4 Use place value understanding to round decimals to any place.

CCSS.MATH.CONTENT.5.NF.A.2 Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem.

CCSS.MATH.CONTENT.5.NBT.B.5 Fluently multiply multi-digit whole numbers using the standard algorithm.

CCSS.MATH.CONTENT.5.NBT.B.7 Add, subtract, multiply, and divide decimals to hundredths

CCSS.MATH.CONTENT.5.MD.A.1 Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

## Time

Approximately 2.5 hours

## Unit Summary

This cross-curricular unit includes a variety of strategies and examples for solving word problems at a fifth-grade level, including division of three-digit numbers, fractions and decimals.

Buffalo Hunts and Division

This lesson begins with a video on long division (optional) or a presentation on uses of division from the playground to the buffalo hunt. Students then watch a short video working long division problems. Finish with practicing long division in Making Camp Dakota. Short videos on Dakota buffalo hunt traditions and related math lessons are also linked.

Watch out for blood-sucking fishes!

This 40-minute lesson introduces new science vocabulary words, teaches about indigenous and invasive species and includes a couple of math problems showing how quickly invasive species multiply. It concludes with students playing the Making Camp Dakota: Past and Present game. Math word problems require finding half of 500 and 10 x 500.

Using Visual Models To Compare Fractions

Students play 2-3 levels of a game that teaches and assesses adding and comparing fractions with different numerators and denominators, with the context of a story from Ojibwe history. They create their own problems using visual models to compare fractions. Students discuss classmates’ problems. The lesson culminates with a video on visualization as a problem-solving strategy. (35-45 minutes)

Decimals, Epidemics & Fly Vomit – It’s science!

Learn decimals while weighing a flies and the food they eat. The lesson begins with a game on decimals and the Aztec smallpox epidemic, then moves to another disease spreader – flies. Students learn the role flies play in our ecosystem, how they eat and reproduce. (75 minutes)

## Differentiation

For students who are struggling with word problems, assign these videos directly teaching strategies or watch together in class.

# Unit: Multiplication Review

## 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. For example, describe a context in which a total number of objects can be expressed as 5 × 7.
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.B.5 Apply properties of operations as strategies to multiply and divide.
CCSS.MATH.CONTENT.3.OA.C.7– Fluently multiply and divide within 100

## Time

Lessons require from 10-40 minutes for a total of 90 minutes. These lessons are recommended more as a review or preview.

## Technology Required

Students need a device with web-browser – Chromebook, laptop or desktop computer, phone or tablet. If using a mobile device, we recommend downloading the Making Camp Premium app. It can also be played on the web on any computer.

## Unit Summary

Students who have recently learned multiplication tables still need frequent review. These five lessons present multiplication review in a variety of lengths and formats; games, cross-curricular formats integrating Ojibwe history, flash cards, virtual manipulatives, slide presentations and video.

## Ojibwe History Integrated with Math + History = Making Camp

That’s Making Camp in a nutshell, um, equation. Each of these only takes about 10 minutes, teaches Ojibwe (Native American) history , multiplication or division. You can do these at the beginning or end of class as a warm-up, as an assignment for those students who finish early or combine all three for a 30-minute lesson.

### Lesson 1: Making Camp – 10-minute multiplication review and Ojibwe history

Do this lesson first. Students sign in to the Making Camp game, play through the introduction, play a memory game and get a virtual dog.

### Lesson 2 – 10 Minute Mini-Lesson: Rabbit Stew & Multiplication

Students learn about what foods the Ojibwe people ate and how their diet changed when they were forced on to the reservation. They play a multiplication tic-tac-toe to snare rabbits and spend the points earned in the game to outfit their wigwam.

### Lesson 3 – Trade for a wigwam

Not strictly multiplication review but this is where students trade in the points they have earned in the prior two lessons for items for their wigwam.Students will watch two brief videos, one on building a wigwam and one on trading between tribes.Clicking on each item gives information on how that item was used by the Ojibwe

## Lesson 4 – Multiplication Review and Red River Carts

Students watch a video on the importance of the Red River cart in expanding trade. The teacher presents (or students may read) a presentation discussing Red River carts followed by two related word problems. The 20-minute lesson concludes with students playing Making Camp Premium, reinforcing multiplication facts and the Ojibwe history lesson learned.

## Lesson 5- Multiplication Terms

Students watch a video on multiplication terms then review terms with flash cards. Students quiz each other with flash cards. This 40-minute lesson closes with practicing multiplication and division by playing Making Camp Premium.

# Using Visual Models To Compare Fractions

## Standards

CCSS.MATH.CONTENT.4.NF.A.2 Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2

CCSS.MATH.CONTENT.5.NF.A.2 Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem.

## Technology Required

Students will need a Mac or Windows computer or an iPad to play the Fish Lake game. Alternatively, students can play Forgotten Trail on the web using Chromebooks or any computer with a web browser.

35-45 minutes

## Lesson Summary

Students play 2-3 levels of a game that teaches and assesses adding and comparing fractions with different numerators and denominators, with the context of a story from Ojibwe history. They create their own problems using visual models to compare fractions. Students discuss classmates’ problems. The lesson culminates with a video on visualization as a problem-solving strategy.

## Lesson

### Start with a Game (10-20 minutes)

Students play the Fish Lake game through level 2. This requires installing the game on an iPad or a Mac or Windows computer. If only Chromebooks are available, students can play the Forgotten Trail Game instead. We do recommend Fish Lake if iPads are available. Although mathematics and social studies standards taught in both games overlap, the change from using Chromebooks in most lessons to a more console-level game can improve student engagement.

### Students create their own problems (10 minutes)

Use slides 1-4 of this Slides presentation to explain the assignment. Optionally, for students learning at home or for homework, it can be assigned to students in Google classroom or similar system.

### Discuss math problems students created (10 minutes)

Because students very often ask, “What do you mean?” or “Give me an example?” slides 5-11 of the presentation give an example.

## Assessment

This lesson includes three types of assessment. In the games, students are presented with math word problems that relate to the game narrative. Their answers are scored and data can be accessed for each student from the teacher reports. Students submit math problems they have written for teacher feedback. Also, teacher can use whole class discussion of student problems as a gauge for understanding or have students in pairs or small groups submit written discussion of their peers’ math problems.

# Ojibwe Clans and Migration (Bilingual English & Spanish)

### 📖STANDARDS

NCSS theme – The study of people, places, and environments enables us to understand the relationship between human populations and the physical world.

Minnesota State Standard – History Sub-strand 4, Standard 15 “North America was populated by indigenous nations that had developed a wide range of social structures, political systems, and economic activities, and whose expansive trade networks extended across the continent.”

40 minutes

### 📲 Technology needed

Internet connection on a PC or Chromebook laptop, tablet, or phone.

### 📃 Summary

This Ojibwe clan lesson for Grade 3 is focused on Ojibwe culture. Students learn where people and places are located and why they are there. They will become familiar with the causes, patterns and effects of Ojibwe settlement and migration. They will learn of the different population centers in Ojibwe society and investigate the impact of human activities on the environment.

## 📚 Lesson

The downloadable Google Slides presentation is available here. This has a digestible summary of the Ojibwe migration, and why and how it happened. The Ojibwe clans are introduced as well as the new lifestyles that the Ojibwe adopted after they migrated to the Great Lakes area and Ontario, Canada.

## Game

Making Camp Bilingual can reinforce clans and culture studies using the Life section.

1. Select the LIFE button from the main choice screen.
2. From the LIFE choices, click on the box in the middle of the bottom row, the one with the four people, and watch the video about Ojibwe social structure. Answer the questions that follow the video.
3. Next, select the box on the bottom right. Watch the overview video on clans and totems. Answer the questions.
4. Students can also click on each individual clan totem icon to learn more about each Ojibwe clan and answer a question about each of them to earn points.
5. Return to the wigwam and trade with the points earned in this lesson.

Students can use the language button to switch between English and Spanish while watching the videos.

Alternatively, students may also play Forgotten Trail, which is an adventure game that homes in on the Ojibwe migration. Two kids in the game retrace the Ojibwe migration on their own and learn more about Ojibwe history along the way.

### Assessment

Teachers will be able to view student reports for Making Camp Bilingual to view how many modules students completed in the LIFE section and their scores for each one.

### Related Lesson

“Ojibwe Clans and Migration” – The English Only version of the lesson plan above featuring Making Camp Premium.

# 10-Minute Multiplication Practice with Ojibwe History (Bilingual English & Spanish)

## 📖Standards

CCSS. Math 3OA.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

NCSS The study of people, places, and environments enables us to understand the relationship between human populations and the physical world.

10 minutes

## 📲Technology Required

Computer/tablet with internet access for reporting student assessment data from Making Camp Bilingual.

## 📃Summary

Ojibwe History Integrated with Math If your students are like most people, you’re having a hard time getting them to focus. Each of these three activities only takes a few minutes and teaches Native American history or multiplication. These 10-minute lessons can be done as stand-alone activities at the beginning or end of a class to raise student engagement, or the three in this unit can be combined for a single 30-45 minute lesson.

## 📚Lesson

### Activity 1

#### Matching Multiplication

Step 1: Have students open Making Camp Bilingual. If you need more detailed instructions on how to access Making Camp Bilingual, student usernames and logging in, please go to this lesson plan

Step 2: If students are playing the game for the very first time, they will watch the two introductory videos that talk about Native Americans and how to play the game (5 minutes). Then you will see the Making Camp choice screen.

Step 3: Have students click the NUMBERS (NÚMEROS) box to view the six math challenges. You can press the round, green button at the bottom left with white squares to return to the choice screen at any time.

Step 4: Have students click on the top left box (with cards) to play a memory game. In this game, you match multiplication problems with their answers. You may assign this activity for 5 minutes of multiplication drills.

### Activity 2

#### The Multiplication Dog

Step 1: Have students click on the icon with the dog.

• This lesson opens with a paragraph explaining that some tribes used dogs to haul heavy loads, using a type of sled called a travois. The player then has the opportunity to earn a dog and items for their dog in the game by answering multiplication problems. The game resets when it is finished, and also takes about 5 minutes.

### Activity 3

#### Reaping the Rewards of Math Practice at the Wigwam

The player should now have enough points to get a wigwam and at least two items to supply their wigwam.

Step 1: Click on the wigwam icon on the bottom left. This will play a video on how a wigwam was built, followed by a second video that briefly discusses that trading existed between and within tribes long before the settlers came.

Step 2: The player then has an option to trade points for items for their wigwam.

Clicking on the wigwam in the lower left corner will bring the player to their wigwam. Purchased items appear here for decoration and interaction.

• Clicking on an item brings up a text box with information on how that item was used or obtained by the Ojibwe people.
• Some items also perform actions when clicked. For example, the parfleche opens to show pemmican inside; when clicked, the dog walks across the wigwam.

## Assessment

Making Camp Bilingual offers Data and Reports for teachers to access after students are finished playing.

## State Standards

Minnesota History Substrand 2, Standard 3. Historical events have multiple causes and can lead to varied and unintended outcomes.

### Related: 10-Minute Multiplication Practice with Ojibwe History

The lesson above has a companion lesson for English Only Learners. 10-Minute Multiplication Practice with Ojibwe History is the same lesson from above but provides the resources in English only, featuring Making Camp Premium.

# Reflections on Ojibwe Migration

by Janna Jensen and AnnMaria De Mars

## 📖 Standard

CCSS.MATH.CONTENT.5.NF.B.4   Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

CCSS.MATH.CONTENT.6.SP.A.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number.

D2.His.13.3-5  Use information about a historical source, including the maker, date, place of origin, intended audience, and purpose to judge the extent to which the source is useful for studying a particular topic.

60 minutes

## 📲 Technology Required

Students need access to a computer with web browser.

## 📃 Summary

This lesson begins with a storyboard on the route and major events of the Ojibwe migration. Students then play the Forgotten Trail game, computing the average number of miles a character walked per day, followed by watching a video on map reading. As a group, students reflect on the challenges of the Ojibwe migration, compute the distance for just one segment and convert the distance from miles to kilometers.

## 📚Lesson

### Storyboard on the Ojibwe Migration

Begin with this story board on the route and major events of the Ojibwe migration. We recommend having students read each section of the story as it advances. Alternatively, the teacher may read it to the class or students can read it to themselves either on devices in the classroom or at home.

### Watch a video on how to find the mean

Warning: bad singing ahead. This short video tells how to find the mean – in song. You may skip this video if you have already used it in a previous lesson.

### Play the Forgotten Trail Game

Students should play the game at least through the first level. The game begins with a middle school class learning about the Ojibwe migration. Students will solve math problems related to the average number of miles walked per day and fraction of distance covered.

### Watch a video on using scales in maps

This video is 7 minutes and covers what is a scale, how to use one and that different maps have different scales. If you feel your students are already familiar with this information, you may skip this video. In the days of Google maps and GPS we have found students often are not as familiar with this information as you might assume.

### Presentation on Reflections on the Ojibwe Migration

In this Google slides presentation, students are asked to reflect on the Ojibwe migration. What would it have taken to survive such a journey? They use their map skills to estimate the distance of one leg of the journey, in both kilometers and miles.

### Synonyms Video

Now that students have seen synonyms as words for the same thing and miles and kilometers as measures for the same distance, finish up with this short (less than 2 minutes) video on synonyms.

## Assessment

Slides 14, 18 and 21 can be printed out for students to answer individually, or can be answered as a group in class. Data are available on activities completed and math problems answered in the Forgotten Trail reports. For more information, check out our reports page.

# Multiplication Review and Red River Carts

## 📖Standards

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

NCSS theme – The study of people, places, and environments enables us to understand the relationship between human populations and the physical world.

Minnesota State Standard – History Sub-strand 4, Standard 15 “North America was populated by indigenous nations that had developed a wide range of social structures, political systems, and economic activities, and whose expansive trade networks extended across the continent.”

20 minutes

## 📲 Technology required

Internet connection on a PC or Chromebook laptop, tablet, or phone.

## 📃 Summary

Students watch a video on the importance of the Red River cart in expanding trade. The teacher presents (or students may read) a presentation discussing Red River carts followed by two related word problems. The lesson concludes with students playing Making Camp Premium, reinforcing multiplication facts and the Ojibwe history lesson learned.

## 📚 Lesson

### Presentation on Red River Carts and multiplication

Use this Google slides presentation in-class or assigned online to review a little on the Red River cart and then solve two math problems involving carts and horses. In the first activity, the students drag the correct number of wheels to show 5 groups of 3 and then 3 groups of 5, both correct answers to the question. In the second problem, students drag 4 groups of 6 horses to solve the word problem.

### Play a game

Students play Making Camp Premium (instructions on which activities are included in the slides presentation).

## Assessment

Making Camp Premium offers Data and Reports for teachers to access to view students playing time and the number of items answered correctly addressing each standard taught in the game.

# Ojibwe Clans and Migration

### 📖STANDARDS

NCSS theme – The study of people, places, and environments enables us to understand the relationship between human populations and the physical world.

Minnesota State Standard – History Sub-strand 4, Standard 15 “North America was populated by indigenous nations that had developed a wide range of social structures, political systems, and economic activities, and whose expansive trade networks extended across the continent.”

40 minutes

### 📲 Technology needed

Internet connection on a PC or Chromebook laptop, tablet, or phone.

### 📃 Summary

This Ojibwe clan lesson for Grade 3 is focused on Ojibwe culture. Students learn where people and places are located and why they are there. They will become familiar with the causes, patterns and effects of Ojibwe settlement and migration. They will learn of the different population centers in Ojibwe society and investigate the impact of human activities on the environment.

## 📚 Lesson

The downloadable Google Slides presentation is available here. This has a digestible summary of the Ojibwe migration, and why and how it happened. The Ojibwe clans are introduced as well as the new lifestyles that the Ojibwe adopted after they migrated to the Great Lakes area and Ontario, Canada.

## Game

Making Camp Premium can reinforce clans and culture studies using the Life section.

1. Select the LIFE button from the main choice screen.
2. From the LIFE choices, click on the box in the middle of the bottom row, the one with the four people, and watch the video about Ojibwe social structure. Answer the questions that follow the video.
3. Next, select the box on the bottom right. Watch the overview video on clans and totems. Answer the questions.
4. Students can also click on each individual clan totem icon to learn more about each Ojibwe clan and answer a question about each of them to earn points.
5. Return to the wigwam and trade with the points earned in this lesson.

Alternatively, students may also play Forgotten Trail, which is an adventure game that homes in on the Ojibwe migration. Two kids in the game retrace the Ojibwe migration on their own and learn more about Ojibwe history along the way.

### Assessment

Teachers will be able to view student reports for Making Camp Premium to view how many modules students completed in the LIFE section and their scores for each one.

### Related Lesson

“Ojibwe Clans and Migration (Bilingual English & Spanish)” – The Bilingual version of the lesson plan above featuring Making Camp Bilingual.

# 10-Minute Multiplication Practice with Ojibwe History

## 📖Standards

CCSS. Math 3OA.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

NCSS The study of people, places, and environments enables us to understand the relationship between human populations and the physical world.

10 minutes

## 📲Technology Required

Computer/tablet with internet access for reporting student assessment data from Making Camp.

## 📃Summary

Ojibwe History Integrated with Math If your students are like most people, you’re having a hard time getting them to focus. Each of these three activities only takes a few minutes and teaches Native American history or multiplication. These 10-minute lessons can be done as stand-alone activities at the beginning or end of a class to raise student engagement, or the three in this unit can be combined for a single 30-45 minute lesson.

## 📚Lesson

### Activity 1

#### Matching Multiplication

Step 1: Have students open Making Camp Premium. If you need more detailed instructions on how to access Making Camp Premium, student usernames and logging in, please go to this lesson plan

Step 2: If students are playing the game for the very first time, they will watch the two introductory videos that talk about Native Americans and how to play the game (5 minutes). Then you will see the Making Camp choice screen.

Step 3: Have students click the NUMBERS box to view the six math challenges. You can press the round, green button at the bottom left with white squares to return to the choice screen at any time.

Step 4: Have students click on the top left box (with cards) to play a memory game. In this game, you match multiplication problems with their answers. You may assign this activity for 5 minutes of multiplication drills.

### Activity 2

#### The Multiplication Dog

Step 1: Have students click on the icon with the dog.

• This lesson opens with a paragraph explaining that some tribes used dogs to haul heavy loads, using a type of sled called a travois. The player then has the opportunity to earn a dog and items for their dog in the game by answering multiplication problems. The game resets when it is finished, and also takes about 5 minutes.

### Activity 3

#### Reaping the Rewards of Math Practice at the Wigwam

The player should now have enough points to get a wigwam and at least two items to supply their wigwam.

Step 1: Click on the wigwam icon on the bottom left. This will play a video on how a wigwam was built, followed by a second video that briefly discusses that trading existed between and within tribes long before the settlers came.

Step 2: The player then has an option to trade points for items for their wigwam.

Clicking on the wigwam in the lower left corner will bring the player to their wigwam. Purchased items appear here for decoration and interaction.

• Clicking on an item brings up a text box with information on how that item was used or obtained by the Ojibwe people.
• Some items also perform actions when clicked. For example, the parfleche opens to show pemmican inside; when clicked, the dog walks across the wigwam.

## Assessment

Making Camp Premium offers Data and Reports for teachers to access after students are finished playing.

## State Standards

Minnesota History Substrand 2, Standard 3. Historical events have multiple causes and can lead to varied and unintended outcomes.

### Related: 10-Minute Multiplication Practice with Ojibwe History (Bilingual English & Spanish)

The lesson above has a companion lesson for English Learners. 10-Minute Multiplication Practice with Ojibwe History (Bilingual English & Spanish) is the same lesson from above but provides the resources in English and Spanish, featuring Making Camp Bilingual.