Math Assessment and Lakota 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.

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

NOTE: Although the examples in this assignment primarily use scientific notation, 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 Lakota 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 second 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 today’s lesson with slide presentation

This lesson assumes your class did the previous lesson, Math Assessment and Ojibwe culture, where they were introduced to the purposed of the unit and (recommended) created a Google slides or doc file where they are taking notes.

To introduce today’s lesson with Making Camp Lakota, use this PowerPoint on Math Assessment and Lakota culture, with examples of new, more difficult problems using decimals and scientific notation.

Play a Game

Multiple choice problem from game asking the minimum age for a buffalo hunter — Question after culture video on Dakota boyhood

The Making Camp Lakota game teaches Lakota culture and division with single-digit divisors. Even older students should enjoy the game play aspects and the videos on Lakota history and culture. Middle school students should breeze through the math problems. These are recorded in the database for teachers to review student progress.

Each game in the series in this unit is gradually more difficult math problems.

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. Most of the examples in this presentation are using scientific notation, but students should be instructed that they can use any math problems beyond simple 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 Lakota 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.)

Individualization

This lesson is appropriate for students whose math is from fourth- through eighth-grade level. The mathematics in the game is at the fourth-grade level but student assignments can be as simple as long division or as complex as multi-step equations with negative exponents.

Introduction to Lakota/Dakota Oral Histories & Storytelling

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by Jen Mellette

📖 STANDARD

ND H.3-5.3, & ND H.3-5.9 Describe North Dakota Native American Essential Understandings. Describe how individuals and groups contributed to North Dakota.

CCSS.ELA-LITERACY.L.5.3 Use knowledge of language and its conventions when writing, speaking, reading, or listening.

⏰ LESSON TIME

45-60 minutes

📲 TECHNOLOGY REQUIRED

Computer with internet connection

📃 Summary

Students read a Lakota story on the end of the world. The teacher gives a short presentation on oral history as used by the Lakota/Dakota. Students play a game with stories from Dakota or Lakota culture. Students present their own examples of oral history in writing or orally. Assessment is in oral or written presentation and via data reports on answers in Making Camp Lakota or Dakota.

📚 Lesson

Read the Story

Read or have a student read the Lakota story of the end of the world . The English translation can be found on the Akta Lakota Museum site here or you can copy it as a Google doc into your own classroom.

Presentation

This short (5 minute) Google slide presentation explains what oral history is and how it was used by the Lakota/Dakota.

Play a Game

Have students play either Making Camp Lakota or Making Camp Dakota. From the earn page, select the LIFE tab. Select any 3 activities on the page to watch and answer the questions. If students have not played the game before, this should take 10-15 minutes from logging in, introduction, and the three choices.

The lessons featured in the Life tab are perfect examples of traditional oral history passed down by both Lakota/Dakota tribes.

Share Oral Histories

Once students have played the game, ask students to think of and share orally a story told to them or if they are not comfortable with public speaking, have them write down in a notebook entry to be turned in for grading.

Assessment

The assessment value is based on what is written down in the notebook or what is shared orally with the rest of the class. Some students will not share or write anything down due to lack of knowledge, so those will be case by case and one on one with the student in question. Based on stories shared and notebook entries, adjustments to class series can be made to target how much time we can spend on a second lesson and third lesson with oral histories.

Students completion of Life activities and their correct/ incorrect answers are recorded and data on student task completion and performance are available from the teacher reports.

RELATED Lessons You May Wish to Use

A Dakota boyhood is a lesson that also includes a story of Dakota life and teaches ELA at the fifth-grade level. This lesson also uses the Life section from the game Making Camp Lakota.

Breaking Down Division with Remainders – is a great addition for a cross-curricular unit. Making Camp Dakota follows a family at a pow-wow as the children learn about Dakota culture through stories from their elders and apply their long division skills along the way. This division lesson includes Making Camp Dakota game play, a video and Google slides presentation on division with remainders.

This lesson plan was originally developed as part of a series on returning culture and knowledge back to our youth as a part of the youth social skills night activities for the Native American Development Center in Bismarck, ND. It is part of a lesson plan series created by Jen Mellette, Youth and Community Coordinator.

Geometry and Ledger Art

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by Avis Prentice and AnnMaria De Mars

📖 Standards

CCSS.MATH.CONTENT.7.G.A.2
Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

⏰ Time

90-120 minutes, including time students spend on creating shapes, measurement and creating winter count artwork

📲 Technology Required

A computer with project/ smart board for viewing as a class or computer or mobile device for viewing videos at home is required. Art project can be done on Google Slides or PowerPoint or with markers and paper or construction paper, glue and scissors. Paper bags (optionally) can be used to simulate a hide background.

📃 Summary

Students begin by watching two videos that appear to be unrelated – on Native American ledger art and using a protractor to measure angles. These are explained in the presentation, that art can take many forms. Vocabulary and basic facts regarding angles are introduced. Students use an online app to create angles with different lengths of lines. After measuring lengths and angles of their shapes, students create artwork for their own event and a classroom ‘winter count’. Use of angles in computer animated art is explained. The session ends with assessment of students’ knowledge of measurement of angles.

📚 Lesson

Watch video on Native American Ledger Art

Watch to 5:07

Students will watch the video to the point of 5:07 , where the curator says to think of an event you really want to remember.

Watch video on using a protractor

Explain basic concepts and vocabulary of measuring angles

This 31-slide deck explains degrees as a measure of rotation, defines acute, obtuse and right angles and obtuse, acute and right triangles. Instructions are given for students creating their own ledger art. Available as Google slides here or as a PowerPoint Presentation here.

Students use an online app to create triangles from different lengths of lines.

In this exploratory activity, students should learn that a triangle cannot be created from any three lines. They will also get practice creating different angles and seeing the shapes of triangles with different angles. This activity is recommended but can be skipped if students do not have access to devices. Alternatively, the teacher or a student can create angles with result shown on a smart board/ projector.

Students create and measure shapes

As instructed in the presentation, students create lines, triangle and circles. They measure the diameter or radius of circles, length of lines and angles of triangles. Students write a description of their shapes using mathematical terms.

Students create their own artwork to commemorate an event

Students will use the shapes created in the previous activity to create original work. They will present their artwork to the class and explain its meaning.

Students watch a video on winter count

Emil Her Many Horses explains the creation and meaning of the winter count

Students combine their events to form a classroom record

Individual student events can be combined on poster board, included in a single Slides or PowerPoint document. Dr. Vivian Young recommends using large brown paper bags to simulate hides, crumpling and tearing around the edges to give more of a hide appearance.

End with presentation

Finish the slide presentation by informing students that their measurements are the first step a software developer would take in turning their artwork into computer animation for a game or website. They have been programming and did not even know it!

Assessment

An assessment of students’ knowledge of measurement of angles and types of triangles is included here as :

Google doc file for assessment

PDF version of assessment

ANSWER KEY FOR ASSESSMENT

Travois, multiplication and 2-step problems

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By Irish Pepito

📖 STANDARD

CCSS.MATH.CONTENT.3.OA.D.8 Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

⏰ LESSON TIME:

30-45 minutes

📃 SUMMARY

In this lesson, the students will develop an understanding of the meanings of the four operations of whole numbers through activities and problems involving real life scenarios from Indigenous history. Students use properties of operations to calculate products of whole numbers, using increasingly sophisticated strategies based on these properties to solve using the four operations problems involving single-digit factors. It includes educational videos, games and video presentations that can be used for reviews and daily practice.

📲 TECHNOLOGY REQUIRED

Computer or mobile device

📚 LESSON

First, watch a video for 100 second

Learn how to solve problems by breaking them down into easier problems (time 1:40)

Second, play a game

Menu with 4 choices, number, random, life , words — **Choices screen: Instruct students to select NUMBERS**

Let the students log in to Making Camp Premium to access the game. (Game links can be found under the GAMES tab.) The choices screen is shown above. Students are instructed to select NUMBERS from the screen above.

Students are tasked to play for 20 minutes. Students will demonstrate mastery in solving word problems like the one shown below and to be able to earn points within the game. For some students who aren’t able to master the standard will be given individualized instruction to master the concept.

**Example of word problem following a vide**o

Reinforce and assess what they have learned with a presentation

This Google slides presentation, Travois and Multiplication, gives a little background on how the travois was used by Indigenous people of North American. Within the context of building and using a travois, students learn to analyze a word problem and use appropriate operations in getting the correct answer.

Final video – See travois in action

Watch this short (46 second) video on how Lakotas used the travois

ASSESSMENT

To monitor the progress of the students, there is data analysis that can be viewed on the Making Camp Premium data report. There are also four problems included in the Google slides presentation that students can complete in-class or as a work-from-home activity