CCSS.MATH.CONTENT.6.SP.B.5 Summarize numerical data sets in relation to their context
⏰ Time
30-40 Minutes
📲 Technology Required
Device with web-browser – Chromebook, laptop or desktop computer, phone or tablet
📃 Summary
Students play a game teaching basic statistics and history. Next, they are given a presentation with problems students solve finding mean, median, mode, range and outliers.
📚Lesson
Play a game teaching basic statistics and Latin American history
Meet the jaguars in AzTech: Meet the Maya
Play AzTech: The story begins. Students who have finished this game can continue on in the series in AzTech: Meet the Maya. Allow students 15-20 minutes to play.
Students can click on a button in the left of their screen to choose the language and play the games in either Spanish or English.
Assess knowledge of Mean, Median and Mode as a class
This presentation can also be assigned for students to complete at home, if learning remotely. Slides with answers can be deleted, or left in for students to check their work.
Review as Necessary
If students need a review, they can watch this video on how to find the mean
Finding the Average video
Or, watch the video in Spanish
Encontrando el promedio
ASSESSMENT
You can view your students’ progress on mastering these standards by viewing your teacher reports. AzTech: The Story Begins and AzTech: Meet the Maya links can be found on this reports page. You should have received a password during the Growing Math training.
A second form of assessment is available through this the questions in the presentation.
Related lesson/ Differentiated Instruction
If your students need instruction on computing the mean, try this lesson, Understanding the mean, with skunks. This review can be done with the entire class or assigned to individual students as needed.
Mean, Median and Mode – The English only version of this lesson plan that includes English resources.
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.
⏰Time Required
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.
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.
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.
CCSS.ELA-LITERACY.L.7.5.B Use the relationship between particular words (e.g., synonym/antonym, analogy) to better understand each of the words.
Dine’ Culture Standards (3.PO2) I will develop an understanding of Dine’ way of life through Iina’. I will implement and recognize the Dine’ lifestyle. I will present the stories related to Land and Water Beings.
CCSS.MATH.CONTENT.7.EE.B.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals)
⏰LESSON TIME
25 -30 minutes including game play
📲TECHNOLOGY REQUIRED
A device with a web-browser – PC, Mac or Chromebook – or phone or tablet.
📃Summary
Students play a game which teaches about raising lambs, the uses of sheep and the ratio of single to twin lambs. The lesson ends with definitions of sheep and goat vocabulary and examples of analogies with sheep and goats. Optionally, students may complete a word journal assignment.
📚Lesson
Start with a game
Students begin by playing Making Camp Navajo. You can just copy and paste these instructions into your Google classroom or other system, or just copy and show in a projector on the board – old school rules!
You can assign your students usernames and passwords or you can send us a list and we will register your students for you. Email the list to growingmath@7generationgames.com . Your students can create their own usernames and password but we do not recommend this, mostly because they will forget what they entered.
Play Making Camp Navajo
There are three activities students should play. If you have not played before, the game will start you at the introduction. If you are a returning user, log in and click on the Life tab.
Learn about sheep in Navajo daily life
On the LIFE page, you’ll see two photos with sheep in them. Play both of those sections.
Next, go to the numbers page and pick this option to learn a little more about sheep.
This lesson has two types of assessment. Making Camp Navajo automatically records students answer to problems in the three game activities, assessing the Diné and math standards. The analogies produced by students address the ELA standard.
Differentiated Instruction
For students who struggle with vocabulary, including English learners, you may wish to include a word journal assignment. Some teachers call it a personal dictionary. Regardless, the goal is the same, for students to record new words, give a dictionary definition and “make the word their own”. This can be done by rewriting the definition in their own words, using the word in a sentence or including an illustration of the word.
Two dictionary sites to recommend for definitions are below. An added bonus to mention to students is that they can hear words pronounced.
CCSS.ELA-LITERACY.RI.6.4 Determine the meaning of words and phrases as they are used in a text, including figurative, connotative, and technical meanings.
CCSS.ELA-LITERACY.RST.6-8.3 Follow precisely a multistep procedure when carrying out experiments, taking measurements, or performing technical tasks.
CCSS.MATH.CONTENT.6.SP.B.4 Display numerical data in plots
CCSS.MATH.CONTENT.6.SP.B.5 Summarize numerical data sets in relation to their context
CCSS.MATH.CONTENT.7.RP.A.2 Recognize and represent proportional relationships between quantities
⏰ Time
70 – 90 minutes, including cooking activity
📲 Technology Required
A computer with projector or smart board is required to show the video and presentation to students.
Summary
This truly cross-curricular assignment begins by watching a video about seed rematriation, that is returning Indigenous seeds to their original lands. They read a short booklet on cooking and nutrition, then do a cooking activity at school or home. A presentation on food deserts includes definitions, data and actions students can take. Students add new words or phrases to their word journal and complete a math assignment using data from the presentation. Advanced students play a game to learn more math and Navajo culture.
📚 Lesson
Watch this video seed rematriation, that is, growing Indigenous seeds in the lands from which they came originally.
Read a short booklet on cooking and nutrition
Scrambled eggs and spinach – available here as a free pdf from the U.S. Department of Agriculture, is directed at parents but should be at the reading level of most sixth- or seventh-graders.
Make some eggs
It will be a lot more fun for your class if you can actually go to the school kitchen and cook some eggs. Reading the booklet above will give the recipe, optional ingredients and much more. The only 3 ingredients you absolutely need are eggs, spinach and vegetable oil or butter.
Alternative assignment
If you absolutely cannot go to the kitchen at school because of scheduling, safety regulations or other reasons, here are two other options.
Assign this activity for students to do with their parents at home. Here is the link for the recipe. You can make this an extra credit activity because not everyone has parents who have time or money to run out for eggs and spinach. Optional: If students have access to a phone or tablet, have them record themselves/ their parent cooking.
Students add words or terms with which they are unfamiliar to their word journal. Some teachers call it a personal dictionary, to others it’s a word journal. Regardless, the goal is the same, for students to record new words, give a dictionary definition and “make the word their own”. This can be done by rewriting the definition in their own words, using the word in a sentence or including an illustration of the word.
Two dictionary sites to recommend for definitions are below. An added bonus to mention to students is that they can hear words pronounced.
If you’d like a spreadsheet where these tables and graphs were created, you can find it here.
Differentiated Instruction: For Advanced Students
Challenge more advanced students to watch this video on Making Mounds for Three Sisters Gardens. The vocabulary is a little more advanced than the typical sixth-grade with terms like “nitrogen”, “fish emulsion”. In the first farm, they planted 80 mounds. Students should watch the video and figure out from the information given how wide the plot must be .
More advanced students can also play the Making Camp Navajo game, available from the Games for Kids portal on this site, to learn more about farming and expand their knowledge of ratio and proportion.
Assessment
Word journals are graded based on correct or incorrect definition. Data analysis assignments assess student achievement of math standards above.
CCSS.MATH.CONTENT.6.SP.B.4 Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
CCSS.MATH.CONTENT.6.SP.B.5 Summarize numerical data sets in relation to their context
Technology Required
Students will need either a computer or tablet to play the game. Teachers will need a computer connected to a projector or smart board to show the presentation or video.
Time
60-75 minutes including, presentation, analysis and game
Summary
With a Google slides presentation, students are introduced to the concept of answering a question with data. A video is also provided for review. Using a data set of all tribal leaders in 2019, they are walked though an example of using Google Sheets to create frequency table and plots of data. Students then use the data set to create their own tables and plots. Students finish the lesson by playing a game where they learn about computing distributions in Mayan history.
Lesson
1. Presentation on primary sources and frequency distributions with Google sheets.
Give students a slide presentation that asks the question “How wired are tribes?” . This also gives the definitions of data, primary sources, secondary sources and frequency table. Students will learn how to create a frequency table with Google sheets.
Differentiated Instruction: If needed, students can review the information by watching this video on their own.
You can also assign students who were absent to watch the video on their own.
2. Assign Students to Create Their Own Frequency Distribution
Differentiated Instruction: For more advanced students
You may wish to have them compute an additional frequency distribution to show the frequency distribution of tribal entities by BIA region. That answer is also provided in the file above.
3. Play a game that teaches distributions
When students have completed their assignments that can play AzTech: Meet the Maya, a game which teaches statistics, including frequency distributions.
Assessment
Two types of assessment are available, their answers to the assignment with Google sheets, and their responses to the in-app math challenges in AzTech: Meet the Maya, which are graded automatically with data available from the. teacher reports.
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.2 Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares.
CCSS.MATH.CONTENT.4.NBT.B.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm.
TIME
45-60 minutes
Technology Required
Students will need access to a computer or tablet and Google slides.
Summary
Start with a video as an ice breaker. Then, students read or listen to a presentation explaining how each math fact is actually four. Students complete an activity where they create their own math facts slides. A recommended video explains features of Google slides. Students complete the lesson playing Making Camp Dakota, solving word problems using division.
LESSON
Watch a video : Four Math Facts in One
In 4 minutes, this video explains how each time you learn a math fact, you are really learning four facts
Listen to/ Read a presentation on four math facts at a time
After the teacher has given the first part of the presentation, students are challenged to first show how a given math fact is actually four math facts, using steers. Next, students create their own examples. The easiest way to do this is through assignment in Google classroom or other system, including email, giving students their own copies of the slides to modify.
Recommended Video: Math Facts with Google Slides
If your students are unsure how to copy and paste, how to select multiple elements at a time, rotate objects or insert a duplicate slide, it is all in this video. Why not watch the video first? Because students often pay more attention once they realize they have questions that can be assigned by the assigned video.
How do you copy 84 chickens?
Play Making Camp Dakota
Making Camp Dakota teaches division of two- and three-digit dividends
Two types of assessment are included in this lesson:
Students create their own math facts slides, and in-game assessment.
Problems are scored automatically in Making Camp Dakota and data are available through the teacher reports.
Differentiated Instruction
Many students with learning disabilities have stronger achievement in one area than another, for example their grade level in reading is higher than in mathematics. For these students in higher grades, an assignment to learn to use presentation software such as Google slides is age appropriate and intrinsically interesting and at the same time increases their knowledge of basic math facts.
CCSS.MATH.CONTENT.4.NF.A.1 Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
📲Technology Required
Students will need a Mac or Windows computer with the Fish Lake game installed. A video can be a substitute for students who do not have access to one of these devices.
⏰Time
30 minutes
📃Summary
Begin with playing the Fish Lake game. A video of the section on crop rotation may be used by schools that don’t have Fish Lake installed. Give a presentation (included) on crop rotation. Watch a video on “What is one-half” and end the lesson with a presentation (included) on whether one-half is fair.
📚Lesson
Play Fish Lake or watch video of game play
Even though you can use this lesson without playing the game, I urge you to install Fish Lake on your iPads, Mac or Windows computers. You can download it for free for computers. For iPads, email support@7generationgames.com for a discount code and we’ll get back to you the same day. Seriously, even if you normally use Chromebook, it will be a nice break and your students will love it. We recommend letting them play for 15 minutes.
Play the game Fish Lake, (available to Growing Math schools, on iPad, Windows or Mac computers). If students do not have devices to access the game, students can watch a video here.
Slide presentation on crop rotation
Use this Google slides presentation to explain crop rotation as more than just being sure each farmer did her fair share of the work or had a fair share of the fields. It was good science.
Watch a short video: What is half ?
This short (1:40) video explains that one-half is two equal parts, with examples of one-half as a distance between two points or as a shape divided into two parts.
Slide presentation on one-half as fair
Use this Google slides presentation to show two halves are equal and that 2/4 = 1/2. Multiple examples of dividing something in half are given, from six blankets to half a deer. Students can also read the presentation and manipulate the examples on their own.
Half a deer
Assessment
Fish Lake data reports are available for teachers to access after students have finished playing.
CCSS.MATH.CONTENT.7.RP.A.2 Recognize and represent proportional relationships between quantities
⏰ Time
30 minutes
📲 Technology Required
Either a project or smart board connected to the computer will be required to view presentation and videos in class or students will need a computer to watch during a web meeting. The game can be played on any computer or tablet with Internet access.
📃 Summary
Students play the Making Camp Navajo game, selecting the activity that explains ratio and proportion. The teacher reviews the activity with the class in a presentation, that includes three more problems to be completed as a group.
📚 Lesson
1. Play Making Camp Navajo and Learn Ratio and Proportion
Begin the lesson with students playing Making Camp Navajo. The following instructions can be pasted into a document linked to an assignment in your Google classroom or other system, or just printed out or written on the board.
Play Making Camp Navajo for an introduction to ratio and proportion
Select the icon for Making Camp Navajo. You may need to scroll down to see it. The icon looks like this:
Login with your username and password your teacher gave you.
Play through the introduction and until you get to the page with Numbers, Life and Random as choices, click on the Numbers box.
Play the two activities that have a girl holding a lamb and an ear of corn. These will teach you about ratio and proportion and give you a few example problems and how to solve them. The two activities you are supposed to select are shown below.
Activities introducing ratio and proportion
2. Review definitions of ratio and proportion with more examples
To reinforce the information, in the presentation, use this 30-slide deck.
The first 13 slides review the information from the game and the subsequent 17 explain how to solve for an equivalent ratio and provide additional examples to solve as a class.
Assessment
Students’ knowledge of ratio and proportion is addressed by problems within the game and by the problems in the presentation, solved together in class.
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.
Example from the GeoGebra app
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 :
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.
⏰ LESSON TIME
55 Minutes
📃 SUMMARY
This lesson plan will have students reinforce the previously presented concept of long division of 3 digit dividends by 1 digit divisors through a short review, an animated video, a fill in the blank division word problem activity, and game play.
📲 TECHNOLOGY REQUIRED
Students will need a PC, Mac or Chromebook or tablet. Making Camp Premium and Dakota are both playable on any web browser on those devices. Students will also need access to the games.
📚LESSON PLAN
Start the lesson by having a short review on dividing 3-digit dividends by 1-digit divisors. It is suggested to review the activity that was assigned in the previous lesson, “Build Your Own Division Problem” lesson. You can find the review copy of the activity here: “Review – Build Your Own Division Problem“. (15 minutes)
How to Use Division to Solve a Problem – Start with this animated video on how to use long division, with 3 digit dividends, to solve different word problems. (Time – 1:24)
3. Have students work on the activity “Fill in the Blank: 3 Digit Dividends“. The activity has students fill in the blanks to complete the division word problem, identify the problem, and solve it. (Corresponding “Fill in the Blank: 3 Digit Dividends” Activity Jamboard that’s also linked in the activity above can be used by students as space to work out their division word problems.) (20 minutes)
4. Have students play Making Camp Dakota: Past & Present using our Games Portal for Kids. The division in Making Camp Dakota will be more practice for students on problems with 3 digit dividends divided by 1 digit divisors. (15 minutes)
ASSESSMENT
The “Fill in the Blank: 3 Digit Dividends” activity is not only allowing students to continue practicing the concepts previously introduced and reviewed in this lesson, but also serves as an assessment of how well the student grasps the concept of division using 3 digit dividends and 1 digit divisors.
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.
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.
