# Mean, Median and Mode (Bilingual English & Spanish)

## π Standard

CCSS.MATH.CONTENT.6.SP.B.5 Summarize numerical data sets in relation to their context

30-40 Minutes

## π² Technology Required

Device with web-browser β Chromebook, laptop or desktop computer, phone or tablet

## π 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.

## πLesson

### Play a game teaching basic statistics and Latin American history

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

Use this Google slides presentation to present sets of numbers to the class to use for finding mean, median, mode and range. This is also available as a PowerPoint presentation.

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

## ASSESSMENT

You can view your studentsβ 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 β The English only version of this lesson plan that includes English resources.

# Food Deserts, Indigenous Seeds and Data Stories

## Standard

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.2Β Recognize and represent proportional relationships between quantities

## β° Time

70 – 90 minutes, including cooking activity

## π² 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.

## π 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.
• You can watch a video of kids making the recipe , but doing it with your class will be more fun.

## Listen to/ read presentation on food deserts

What if there was nowhere to buy eggs, spinach or even seeds near where you live? You can use this Google slides presentation to present to students in class or assign them to read on their own.

### Complete word journal

Students add words or terms with which they are unfamiliar to their word journal. Some teachers call it a personal dictionary, to others itβs a word journal. Regardless, the goal is the same, for students to record new words, give a dictionary definition and βmake the word their ownβ. 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.

Since students often ask for an example, here is an example you can link in your lesson

The personal dictionary assignment, with all links, can be found here. Feel free to copy and paste into your Google classroom or other site, or print out for your class.

## Math assignment: Using statistics and ratio to answer questions

Copy the assignment into your Google classroom or other system or print out for students. Students will use the data from the Food Deserts presentation to answer questions about percentages. They will also create pie charts (circle graphs) and bar charts. You can have students do this with a calculator or pencil and paper or using Google sheets.

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.

# Making a Calendar with Google Slides

## π Standard

CCSS.ELA-LITERACY.WHST.6-8.6 Use technology, including the Internet, to produce and publish writing and present the relationships between information and ideas clearly and efficiently.

CCSS.ELA-Literacy.RH.6-8.1 Cite specific textual evidence to support analysis of primary and secondary sources.

## β° Time

200 minutes (approximately 5 class periods)

## π² Technology Required

Students will use the Internet to find a minimum of 12 appropriate images to represent their topic. Students will need access to a device with Google Slides to create calendar.

## π Summary

This lesson plan allows students to explore a topic of interest to create an informational calendar. Students are to pick a topic, include an image for each month, brief explanation and source for that image. At the end of the project, students perform a self-assessment.

## Introduce Assignment to Students

### Calendar Assignment

In this assignment, you will be creating a personalized calendar using Google slides. Your calendar must consist of a minimum of 13 pages an include the following:

1. A title slide with introduction of the topic.
2. A page for each month with:
1. An image related to your topic
2. Text explaining the image and its relationship to the topic.
3. A link to a source for the image and information on the page.

### Presentation to Explain Modifying Template

Use this brief presentation to explain how to change the background on a slide and how to add images. It uses the 2022 calendar template as an example.

There are many, many Google Slides calendar templates you can find on the web. Many of these are great, some cost money, some are for 2021 and some have broken links. So, we added an example here that you, on the topic, “Indigenous”, that you can copy into your Google classroom and modify, just to make sure you would have a free template that is available and up to date. It uses a variety of methods of citing sources, from a simple web link in January to APA style in May.

Janna Jensen, IT specialist from North Dakota, laminates each page in the calendar and binds the pages for a personalized gift from students to parents or other special people in their lives. If you have limited funds, you can just laminate the first and last page for durability, or skip lamination altogether if you don’t have a laminator.

If, like me, you don’t have a binding machine, you can just use a 3-hole punch and twist ties from cables or bags of bread. Ask the lunchroom staff to save some for you.

### Make this assignment your own!

I highly recommend encouraging your students to improvise with this assignment. They can find another template on line, insert pages in between months so that each month has a large scale image at top – the possibilities are endless.

## Differentiated Instruction

Advanced students may wish to complete these six online lessons to become more proficient with Google slides.

## State Standards: North Dakota

K-5.IAI.9 Organize information using technology and other tools.

TE.K-5.MTL.11 Use technology to gather and share information with a variety of audiences in ways that others can view, use, and assess.

# Making a Calendar with PowerPoint

by Janna Jensen

## π Standard

CCSS.ELA-LITERACY.WHST.6-8.6
Use technology, including the Internet, to produce and publish writing and present the relationships between information and ideas clearly and efficiently.

## β° Time

200 minutes (approximately 5 class periods)

## π² Technology Required

Students will use the Internet to find appropriate images to reflect tasks typically accomplished during a specific month. Students will need access to a device with PowerPoint to create calendar.

## π Summary

This lesson plan allows students to explore agricultural subjects of interest to create an informational calendar. Students are to pick a field in agricultural and create a calendar outlining the big tasks performed each month. At the end of the project, students perform a self-assessment.

NOTE: While this assignment focuses on agriculture, it could be modified for any subject – science, social studies, literature, and, certainly, art.

Don’t have PowerPoint but you use Google Slides? Check out this lesson.

## Introduce Assignment to Students

### Calendar Assignment

In this assignment, you will be creating a personalized calendar using PowerPoint. Your calendar must consist of a minimum of 13 pages an include the following:

1. A title slide with introduction of the topic.
2. A page for each month with:
1. An image related to your topic
2. Text explaining the image and its relationship to the topic.

## Video or Presentation on Creating Calendar with PowerPoint

### Classroom Presentation

Use this PowerPoint of Instructions on how to create a calendar with PowerPoint. It is a brief 3-5 minute explanation. Instructions are also available in Google Slides format.

### Video

Students can watch the video above, which has only music, no voice over, so it will be usable even if your students don’t have headphones or your computers don’t have speakers. It is also a good review if students are learning at home or need an extra reminder.

I laminate each page in the calendar and bind the pages for a personalized gift from students to parents or other special people in their lives. If you have limited funds, you can just laminate the first and last page for durability, or skip lamination altogether if you donβt have a laminator.

If you donβt have a binding machine, you can just use a 3-hole punch and twist ties from cables or bags of bread. Ask the lunchroom staff to save some for you.

## State Standards: North Dakota

K-5.IAI.9 Organize information using technology and other tools.

TE.K-5.MTL.11 Use technology to gather and share information with a variety of audiences in ways that others can view, use, and assess.

# Mean, Median and Mode

## π Standard

CCSS.MATH.CONTENT.6.SP.B.5 Summarize numerical data sets in relation to their context

30-40 Minutes

## π² Technology Required

Device with web-browser β Chromebook, laptop or desktop computer, phone or tablet

## π 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.

## πLesson

### Play a game teaching basic statistics and Latin American history

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

Use this Google slides presentation to present sets of numbers to the class to use for finding mean, median, mode and range. This is also available as a PowerPoint presentation.

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.

## ASSESSMENT

You can view your studentsβ 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 (Bilingual English and Spanish) – The bilingual version of this lesson plan that includes English and Spanish resources.

# Reflections on Ojibwe Migration

by Janna Jensen and AnnMaria De Mars

## π Standard

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

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

D2.His.13.3-5Β  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

## π 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.

## π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.

# What is a statistical question?

## π Standard

CCSS.MATH.CONTENT.6.SP.A.1 Recognize a statistical question as one that anticipates
variability in the data related to the question and accounts

## π² Technology Required

Computer with projector, for students learning in class. For students learning at home, materials can be accessed on any device with a browser and application to read PDF files or can be printed out and sent home with students.

## β° Time Required

2 hours (We recommend doing this over two class periods)

## π Summary

Teachers begin the lesson with a Google slides presentation explaining the requirements for a statistical question. Students complete an assignment identifying whether or not a question qualifies as a statistical question. After class discussion, students complete a second assignment using a small data set shown on a map. In Part 3, students write and answer their own statistical questions using a data set provided, giving an explanation for their answers. Optionally, students can complete a more challenging assignment drawing conclusions from a graph and/or play a game and identify statistical questions.

## π Lesson

Before you begin, you should have printed out or added to your Google classroom and shared with students the STUDENT handout from the U.S. Census Bureau, “What is a statistical question?” The student version is 11 pages. If you are short on printer paper, you can skip printing page 1. Also, pages 7 and 8 are an optional activity.

You should also print or download the TEACHER version of the Census Bureau handout, “What is a statistical question?” which includes answers to questions in the first two assignments and explanations why each answer was or was not a statistical question.

### Introduce students to definition of a statistical question

Begin with the Google Slides presentation, “What is a statistical question?” which breaks down the two components of a statistical question – it must be answered by data and the data must vary.

### Students complete assignment on identifying a statistical question

Have students complete Part 1 of the handout “What is a statistical question?” After all students have answered the questions in Part 1, discuss their answers in small groups or as a class.

### Students complete Part 2, assignment on identifying a statistical question using real data

Have students complete Part 2 of the handout “What is a statistical question?” After all students have answered the questions in Part 1, discuss their answers in small groups or as a class.

Then, continue with the Google slides presentation and have students complete Part 2 of the student handout from the U.S. Census Bureau (linked above). Have students discuss their answers with one another.

Either correct the answers as a class or collect these to correct yourself. Remember, the teacher handout, linked above, has the correct answers.

We recommend you end the first day’s lesson here and begin the next lesson after students have had the assignments from Part 1 and Part 2 corrected.

### Students complete part 3, creating their own statistical questions from data.

Students complete Part 3 of the handout on “What is a statistical question?”

Discuss students’ answers in class. Provide feedback on whether a question really is a statistical question and whether students’ answers to their questions are correct. Allow students time to explain their conclusions.

### Optional: Students Complete Part 4

First, use the Google slides presentation, starting on Slide 24, to explain how to read an area chart.

Next, have students complete Part 4 from the student handout, “Drawing conclusions from a graph.”

### Optional: Play Empiric Empire

After students have completed Parts 1 to 3 of the student handout (and, optionally, Part 4), have them play the game Empiric Empire. As an additional optional assignment, ask students to identify statistical questions asked and answered during the game.

If students do not have phones but have Chromebooks, they can play Disaster Deduction Detectives instead – available June, 2022.

## Assessment

For assignments in Parts 1 and 2 the teacher version of the handout has correct answers and explanations. For assignments in Parts 3 and 4 of the student handout, examples of correct responses are given but these will vary as students provide their own statistical questions.

For the Empiric Empire game, the teacher reports show student responses to questions. It should be noted that this game does begin with fractions and decimals, which are a prerequisite to statistics.

## πStandards

CCSS.MATH.CONTENT.6.SP.B.5.C Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.

CCSS.ELA-LITERACY.RH.6-8.7 Integrate visual information (e.g., in charts, graphs, photographs, videos, or maps) with other information in print and digital texts.

## β° Time

120 – 180 minutes (You may wish to use 2-3 class periods)

## π² Technology Required

The games used here require a Chromebook, Windows or Mac computers or iPads.

## π Summary

Students play three games that teach fractions and statistics. Students learn enhanced features of Google slides. They then create a Google slides presentation stating which is their favorite game and why.

## π Lesson

### 0. Optional: Google Slides Basics

If students are not familiar with Google Slides, begin with the Google Slides Basics lessons. If students know how to create slides document, select a theme, add text, images, transitions and animations, you can skip this step.

### 1. Introduce the assignment

Explain to students that they will be playing three different educational games and making a recommendation for future classes. If there is only time to play one of these games, which should the teacher choose. A copy of the assignment is here with both Chromebook and iPad games included. Save to your Google classroom or other system and delete whichever device is not available to your students. If your students have access to both devices, no editing is required. Since their presentation will be made with Google Slides and they want it to be as convincing as possible, they should include images and video to support their points.

### 2. Play AzTech: The Story Begins

This game teaches fractions and basic statistics, integrated with social studies terms and Latin American history.

Allow students 10 -15 minutes to play the game.

Click on the links on the left side of the screen to learn about:

• Modifying the theme
• Inserting video
• Adding effects to text and images

Allow 10-15 minutes to watch videos and start on their presentations.

### 4. Play Forgotten Trail or Fish Lake Adventure

Students play Fish Lake Adventure (iPad) a game that teaches fractions or Forgotten Trail (Chromebook), a game that teaches fractions and statistics.

Allow 10-15 minutes to watch videos and continue their presentations.

Continue with more Google slides basics. Watch three videos on the right side of the screen on :

• Customizing with Word Art
• Publishing to the web
• Presentation notes

Allow 10-15 minutes to watch videos and continue their presentations.

### 6. Play AzTech: Meet the Maya

Allow students the option of playing AzTech: Meet the Maya or continuing one of the two previous games. Meet the Maya continues the game series that teaches fractions and basic statistics, integrated with social studies terms and Latin American history.

Allow 10-15 minutes to play and continue their presentations.

### 7. Finish !

It’s decision time. Students will select one game to finish for their presentation. Students who finish ahead of the class may play the other games.

Allow 30 minutes to finish the game they have chosen and continue their presentations.

### 8. Optional (extra credit) Present or publish

Depending on your class and your own objectives, you may want to end this lesson with students either publishing their presentations to the web or presenting in class and trying to convince their classmates that the game they have chosen is the one students should be using to learn next year.

Allow 30 minutes to finish the game they have chosen and continue their presentations.

## β° Lesson Time

15-20 minutes EACH for two lessons

## π² Technology Required

Device with web-browser β Chromebook, laptop or desktop computer, iPhone or iPad

## π Summary

There are 6 short videos on Google Slides topics like adding images and choosing a theme. We recommend breaking the first four videos into two separate lessons that students complete during class.

## π Lesson

These lessons from Google for Education provide a good overview to Google Slides. These are part of the Applied Digital Skills program for which you can register your class and/or yourself or you can just select individual lessons. In our experience, students do better when the lessons are split over 3 or more days.

### Day 1: Watch videos 1, 2 and 3

Learn Google Slides while creating a presentation about you. This lesson can be used as is or modified for other topics. The default assignment is for students to create an “All About Me” presentation. The first three videos explain creating a presentation, choosing a theme, inserting a title, adding text and images. You can copy the link and paste it into your Google classroom or other site used for assignments or have students watch these together as a group in class.

For younger students, these three videos may be adequate for your class requirements.

### Day 2: Create a Presentation (Bells and Whistles optional)

#### Watch this five-minute video on Animation and Transition in Google Slides.

After watching this 5-minute video, students are ready to create their own presentation. Students can create an “About Me” presentation as suggested in the Google slides or teachers can assign their own preferred topic.

## Assessment

Rubric for assessment includes:

• Student created Google slides presentation
• Presentation includes the following elements: headers, text and images
• Presentation uses at least one animation and one slide transition

For younger students, you may wish to eliminate the last requirement.

#### Related lesson:

Google Apps Basics for Hamsters — As the name implies, a super-basic introduction to Google Drive and Google Docs.

# Google Apps Basics for Hamsters

While I have heard many teachers say,

“My students know technology better than I do.”

– Teacher who is often incorrect.

I have often found this not to be the case when it comes to Google apps. I’ve often found that students sometimes don’t want to admit that they don’t know Google apps, assuming that everyone else does.

This is the first in a series of lessons for either teachers or students who may not be extremely familiar with Google apps.

For many years, I taught statistics in graduate programs in education, psychology, business and engineering. On a conference planning committee, we had a request that read,

“I would like a session on statistics, but not statistics for dummies. I want a session so easy that a hamster could understand it.”

So, that was the origin of my session, “Statistics for Hamsters.”

Now, maybe you are a Google apps guru and you don’t need any of this. Yay for you. Seriously, yay! Let’s hang out. Still, you may find these resources helpful to share with your students. Just copy the link into your Google classroom, which, of course, you know how to do.

If that is not you, keep reading, and we can still hang out. Especially if you bring coffee.

25 minutes

## π² Technology Required

Device with web-browser β Chromebook, laptop or desktop computer, iPhone or iPad

## π Lessons

All the Google apps lessons follow a similar format of a series of 15-30 second videos on simple tasks like opening the app, creating a new file and sharing. The lessons are 6-7 minutes but by the time your students get their computers open, log on and start the lesson we estimate around ten minutes of class time.

We have had more success with having students do these activities in class prior to an assignment that will use the app.

This is our favorite basic–basic lesson on Google Drive. From Google for Education, takes six minutes and ends with a quiz where you can test your knowledge.

Introduction to Google docs – The total lesson should take about 7 minutes.

### Use what you learned

Follow up this lesson with a simple assignment in Google docs. This provides three prompts students can choose from to answer a question. They will practice creating a doc, copying and pasting from a doc (or, alternatively, saving to their drive), editing a doc and sharing it.

Note to the teacher: You should save the assignment in your Google classroom or other system and be sure to edit it to include your email before assigning to students.