Category Archives: seventh grade

Google Slides Basic Skills

⏰ Lesson Time

15-20 minutes EACH for two lessons

📲 Technology Required

Device with web-browser – Chromebook, laptop or desktop computer, iPhone or iPad

📃 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.

📚 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.

Create Your Own Presentation

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

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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.

No hamsters were available so I used my guinea pig

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.

⏰ Lesson Time

25 minutes

📲 Technology Required

Device with web-browser – Chromebook, laptop or desktop computer, iPhone or iPad

📚 Lessons

Google Drive and Google Doc: Super-Basics

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.

Ratio, rate and proportion

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📖Standard

CCSS.MATH.CONTENT.7.RP.A.1 Analyze proportional relationships and use them to solve real-world and mathematical problems.

📲Technology Required

⏰TIME

45 minutes

📃SUMMARY

In this lesson students are given definitions of ratio and rate and examples of computing rate and distance. Students complete a short assignment using animals observed outdoors as the data for computing ratio, rate and proportion. An alternative assignment is given for students learning at home or otherwise requiring modification. The lesson concludes with game play.

📚LESSON

Mini-lecture

Begin with this Google slides presentation defining ratio and rate and including examples of rate and distance problems. Students learning at home can read the presentation and do the activities and problems on their own.

OPTIONAL VIDEO

If your students are having difficulty understanding the problems, this video may help.

An example of solving time, rate and distance problems

Compute rate, ratio and proportion

In this short assignment, also linked in the Google slides presentation, using animals observed outdoors as the data for computing ratio, rate and proportion.

Everyone needs to get a partner. You and your partner will go outside and each count as many different species of animals as you can. Do this for exactly 5 minutes. Two of the exact same kind of animal only count as one species.
After 5 minutes is up, find the ratio of your animals compared to your partner’s list of animals.
Next, find the rate. How many animals did you see per minute?
Lastly, your group shall compare your ratio to another group. Are they proportional or non-proportional?

An alternative assignment is given for students learning at home or otherwise unable to work outside with a partner, where students find animals in two slides.

End with a game

Students play AzTech games for 15 minutes to end the lesson. Time-rate-distance problems are included as a bonus question in AzTech: The Story Begins and are required to win the game in AzTech: Meet the Maya.

Assessment

Once students have played the game, you can look in the AzTech teacher reports to see an individual students response. You will need to know your students’ usernames. To see an example of a report, enter the username “ddtester” .

Related lesson

Introduction to ratio and proportion is a recommended lesson prior to this discussion of rate, ratio and proportion

Rational numbers, adding and subtracting decimals

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📖STANDARD

CCSS.MATH.CONTENT.7.NS.A.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers

CCSS.MATH.CONTENT.7.EE.B.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers

⏰TIME

30-45 minutes

📲TECHNOLOGY REQUIRED

A projector and computer in class or a computer, phone or tablet at home is required to watch the videos and see the Google slides. Slides can also be printed and sent home with students.

📃LESSON SUMMARY

Students watch two videos explaining decimal and fraction equivalence. They are then presented with a brief reminder of natural, integer and rational numbers. A slide presentation discusses adding and subtracting decimals. The lesson ends with teacher and student-generated practice problems.

📚LESSON

Since the previous lesson discussed rational numbers and fractions, we introduce this lesson with two videos explaining the equivalence of fractions and decimals.

Video Introducing Decimals

This three minute video discusses fractions, decimals and percents as three ways of expressing the same number.

This second video shows examples of fractions and decimals as equivalent.

Presentation and Practice Problems

Use this Google slides presentation to reinforce the understanding of rational numbers introduced in the previous lesson. Students can answer two formative assessment questions during a presentation or these can be done on their own with students learning at home. The lesson ends with students writing and sharing their own decimal addition and subtraction problems with classmates.

Enrichment Option

To provide motivated or advanced students more information on types of numbers, assign this optional two-page reading on types of numbers.

ASSESSMENT

Formative assessment problems are given in the presentation. Students also write their own problems and answers. AzTech: Empiric Empire teacher reports are available for assessing student answers in Data an d Reports.

STATE STANDARD

Missouri Learning Standards (MLS) 7.NS.A.1.a

Ratios as fractions

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📖Standard

CCSS.MATH.CONTENT.7.RP.A.1 Analyze proportional relationships and use them to solve real-world and mathematical problems.

⏰Time Required

10 minutes

📲Technology Required

Projector or smart board for in–class or access to computer or tablet for web meeting for remote learning.

📃Lesson Summary

Students are presented with definitions of ratio and proportion along with multiple examples and ways to solve these problems.

📚Lesson

Watch the video Ratios and Rates below, which discusses ratios and fractions.

Yes, this lesson plan is just a video. We watched LOTS of boring videos on ratios and rates to find this one!

This video can be used before or after the lesson on Introduction to Ratio and Proportion, either as an introduction for students who need more preparation or a second look for students who could benefit from having the material presented in a different way.

Assessment

Use assessment from Introduction to Ratio and Proportion lesson.

Introduction to ratio and proportion

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📖Standard

CCSS.MATH.CONTENT.7.RP.A.1 Analyze proportional relationships and use them to solve real-world and mathematical problems.

⏰Time Required

30 minutes

📲Technology Required

Projector or smart board for in–class or access to computer or tablet for web meeting for remote learning. Presentation could be printed for students at home without computer access.

📃Lesson Summary

Students are presented with definitions of ratio and proportion along with multiple examples and ways to solve these problems.

📚Lesson

Introduce ratios and proportions

Use the Google slides presentation for definition of ratio and proportion and some practice problems.

NOTE TO TEACHER: This presentation includes multiple explanations for multiple levels of understanding. There is a solution using algebra, with cross-multiplication and an explanation of why cross-multiplication works. There is also an explanation using equivalent fractions. If you are teaching an algebra class, use the first explanation and delete the second. For a more basic math class, delete the first explanation and just use equivalent fractions.

Use ratio and proportion in real life

The end of the presentation gives a recipe for biscuits. You can delete the answer in slide 29 if you want to test their knowledge or you can leave it in for students to check themselves.

Here are three ways you can use this:

Have students actually bake using their recipe solution.
Have students simply answer the question (easiest)
Select one or more incorrect answers as well as the correct answer and bake yourself. Then bring the results in and have students taste them. This takes more work from the teacher but can be pretty hilarious if you feel in a baking mood or can get a volunteer to do it.

Assessment

Assessment can be done as a group, having students answer the questions posed in the presentation or students can submit answers individually.

Related lesson

Ratios as fractions is a nine-minute video that can be used to preview this material or for re-teaching for those students who are still struggling.

Rates, Ratios and Proportions with Fractions

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📖STANDARDS

CCSS.MATH.CONTENT.7.RP.A.1 Compute unit rates, including those that involve complex fractions, with like or different units.

CCSS.MATH.CONTENT.7.RP.A.2.C. Represent proportional relationships by equations

⏰Time Required

30-45 minutes

📲Technology Required

Projector and computer required to watch video in class. Alternatively, students can be assigned to watch on computer, phone or tablet at home. Google apps or PowerPoint required for slide presentation.

📃Lesson Summary

Students watch a 4-minute video giving examples of finding unit rates by simplifying fractions. They solve a problem together as a class and are given a short lecture on solving rate problems with complex fractions. Problems provided can be worked by students individually or done together in class.

📚Lesson Plan

This lesson plan assumes that your students understand simplifying complex fractions. They should know how to divide a fraction by an integer or by another fraction.

1. Watch video explaining unit rates

2. Solve a problem as a class

Using this Google slides presentation, students solve a problem together as a class. They are reminded the meaning of “reciprocal” and that in dividing one fraction by another, you multiply by the reciprocal of the fraction in the denominator. Additional slides give students instruction and tips on solving rates problems that include complex fractions.

3. Solve a variety of problems involving rates and complex fractions

The problem set is found here and the answer key with problems solved step–by-step is here. You know your class best. If you have already covered complex fractions and rate problems, these can be used as formative assessment or review. Alternatively, you may wish to either:

Assign the problems, have the students give these a try and then correct together as a class.
Select some of the problems to review together and assign the remainder as homework.
Assign the problems for students to complete individually, as either in-class work or homework and grade using the answer key provided.

4. Watch a video of a student applying ratio and proportion

At this point, many students will still need further clarification. In this video, Eva shows how she uses ratio and proportion to reduce a recipe for 4 dozen cookies to one for 2 dozen cookies.

Assessment

Students will be assessed based on performance on the problems provided.

State Standards

Missouri Learning Standard 7.RP.A.1

Minnesota Math Standard 7.2.2.1 – Represent proportional relationships with tables, verbal descriptions, symbols, equations and graphs; translate from one representation to another. Determine the unit rate (constant of proportionality or slope) given any of these representations.

Probability and fruit

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📖Standards

CCSS.Math.Content.7.SP.C.5
Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

CCSS.Math.Content.7.SP.C.6
Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability.

⏰Time

30-45 minutes, depending on whether the final individual activity is performed in class or outside of class.

📲Technology Required

A projector or smart board is required to show the Google slides presentation in class. It can also be shown using any web meeting software for remote learning. The random fruit basket generator can be used by students in anything with a browser, including computers, tablets or phones. This activity is optional.

📃Summary

The Google slides presentation begins with definitions of probability, impossibility and certainty. Students are then given an example of a basket with different types of fruits and the probability of each. Students each come to the front of the class and pull a piece of fruit from the basket, writing down the probability of their selecting the type they obtained. The class data is used to create a table and compare the obtained probabilities to actual distribution of fruit in the basket. The lesson closes with students creating their own probability question.

NOTE: This lesson plan requires a basket of fruit. You could use pictures of fruit printed out or drawn on paper instead but using actual fruit from your area might be more fun. If you’d rather, though, we do have a random fruit basket generator to use with this lesson.

📚Lesson Plan

1. Presentation on Probability

Students are then given an example of a basket with different types of fruits and the probability of each.

2. Individual students compute probability

Students each come to the front of the class and pull a piece of fruit from the basket, writing down the probability of their selecting the type they obtained. The class data is used to create a table and compare the obtained probabilities to actual distribution of fruit in the basket. If students are learning at home, we have a random fruit basket generator to use with this lesson. After setting THE SAME NUMBER OF EACH FRUIT for everyone to enter, have each student click on the basket to select a random fruit and see the probability.

3. Group Activity

Complete table included in presentation as a class. Compare obtained probabilities with expected. Discuss that the expected probabilities are for a large number of trials and that it is usual to have the observe probabilities not match up exactly – or even closely – with the actual proportions when the sample size is small.

4. Probing questions

These questions are included in the presentation. Ask the class what the probability is of selecting a kiwi fruit, remembering that there are not any kiwi in the basket. If Annie’s family owns an apple orchard and her basket contains only apples, what is the probability of selecting an apple? If students need a reminder, return to the definitions of probability, impossibility and certainty at the beginning of the lesson.

5. Individual Activity

Students will create their own probability activity using household items. This activity can be performed at home, having family members draw items, or can be performed in the classroom using items in the classroom, such as different colors of pencils, or even pieces of paper with different words or pictures.

Assessment

Individual formative assessment is conducted throughout this activity by having students write the probability of the specific fruit they selected and by their performance on the individual activity creating their own probability sample and recording the results. Students can also write their answers to the in-class questions on probabilities of 0 and 1, then comparing these to the correct answer.

State Standard

Missouri Learning Standards (MLS)●7.DSP.C.5a Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

Minnesota Math Standard 6.4.1.2 – Determine the probability of an event using the ratio between the size of the event and the size of the sample space; represent probabilities as percents, fractions and decimals between 0 and 1 inclusive. Understand that probabilities measure likelihood.

Minnesota Math Standard 6.4.1.4 – Calculate experimental probabilities from experiments; represent them as percents, fractions and decimals between 0 and 1 inclusive. Use experimental probabilities to make predictions when actual probabilities are unknown.

Reading & comparing bar graphs

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📖Standards

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

CCSS.MATH.CONTENT.7.RP.A.2.B Ratios & Proportional Relationships: Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

⏰Lesson Time

40- 50 minutes

📲Technology Required

Device with web-browser – Chromebook, laptop or desktop computer, iPhone or iPad

📃Summary

This lesson introduces students to reading and comparing bar graphs with proportional relationships. Students receive a slide or handout with four bar graphs and complete a set of cards with questions or complete the activity in Google slides . The lesson ends with an adventure game that includes discussion of interpreting bar graphs.

📚Lesson Plan

Related lesson plan

If you have not watched the videos on Mayan Trading and Distributions, you may want to check out this lesson plan first.

Preparing for the lesson – Options

Print out the cards if students do not have home Internet access or if you want to use the cards to do the activity in class. (Note: Business card stock may not be the best $10 I have spent as a teacher, but it’s high on the list. I don’t know what it is about cards that makes something seem like a game but I have had the greatest success with activities like this one.). Here is a PDF for the cards. If you would like to download the cards to edit and add your own questions, here is a Microsoft Word doc.

If students are learning from home, you can copy the Google slides presentation to your Google classroom and assign to students.

1. Individual Activity

Use this Google slides presentation to introduce and explain the assignment.

Print out the “Graphs” page or display it using a Smartboard, projector or in your Google classroom. Each student / group is required to complete the cards using the graphs provided.

2. Class Activity

After the students have completed the assignment, which should take around 10-15 minutes, have students share their findings to these questions with the class. Discuss and review the different questions and answers that can come from the same set of data.

3. Play Games!

Students can play the AzTech: The Story Begins to practice statistics in a history adventure game. Link available from the games page, select the device on which you want students to play. Available free for Chromebook, Android or iOS.

Assessment

AzTech Games Teacher Reports – Teachers can access standards-aligned student reports including answers to problems, number of correct answers, quiz results and pre-test/post-test results.

Students’ responses in the activities above, both individually and as a group, provide formative assessment of their ability at interpreting and extrapolating from graphical data.

State Standards

Distributions and Mayan Trading

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📖Standard

7.SP.A.1 Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.

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.”

⏰Time

20- 30 Minutes

📲Technology Required

Device with web-browser – Chromebook, laptop or desktop computer, phone or tablet

📃Summary

The two videos here combine math and social studies, because, clearly, the Maya understood math. The concept of distributions is introduced in the context of trading, explaining why some objects are more valuable. Students play AzTech: Meet the Maya, which teaches measures of central tendency. The lesson concludes with a question and another video on distributions.

📚Lesson Plan

1. Watch video – Mayan Trading (1:57)

The Mayan trading video is based on an idea from one of my favorite history teachers, who says that history is more than just names and dates but also how people lived, what they used, what they did. It also has a bar chart of the relative value of objects. It explains that the Maya traded less common items for more common ones and that items that were more difficult to obtain were more valuable.

2. Play AzTech: Meet the Maya

Next, have students start the AzTech games series. They can play AzTech: Meet the Maya online or using an iPad. We recommend downloading the game onto your iPhone or iPad for better performance.

3. Question to test understanding

José tried to trade a banana for a quetzal feather and a villager threw a spear at him. Why would the villager do that? Explain using math. Extra points if you can discuss distributions in your explanation.

4. Video giving the answer to the word problem on distributions (5:15)

This five-minute video introduces distributions and variability and gives an example of computing a weighted mean from a frequency distribution.

OPTIONAL You can also copy this Google slides presentation to your own classroom if you’d rather modify the explanation for your own lecture. The slides can also be printed out and sent home with students who do not have Internet access.

ASSESSMENT

You can view your students’ progress on mastering these standards by viewing your teacher reports. The link to the teacher dashboard for AzTech: Meet the Maya student reports can be found on this page. You should have received a password during the Growing Math training.

State Standards

Minnesota State Standard 6.4.1.1 – Determine the sample space (set of possible outcomes) for a given experiment and determine which members of the sample space are related to certain events. Sample space may be determined by the use of tree diagrams, tables or pictorial representations.

Related Lesson

Distributions and Mayan Trading (Bilingual English & Spanish) – This lesson is a bilingual version of the lesson above and features resources in English and Spanish.