# Fill in the Blank: 3 Digit Dividends

## 📖 STANDARD

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.

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

1. 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)
2. 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.

Making Camp Dakota Teacher Reports

You can view your students’ progress on mastering these standards by viewing your Making Camp Dakota teacher reports. You can access the Making Camp Dakota reports here.

## STATE STANDARDS

Minnesota State Standards

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.

# Build Your Own Division Problem

## 📖 STANDARD

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.

50 minutes

## 📃 SUMMARY

This lesson plan will build upon the introduction to division with 3-digit dividends from the “Dividing 3-Digit Dividends” lesson. Students will be able to continue practicing dividing 3-digit dividends by 1-digit divisors through a short review, an activity where students build their own division problems, and game play.

## 📲 TECHNOLOGY REQUIRED

Students will need a PC, Mac or Chromebook. Students will also need access to “Making Camp Dakota: Past & Present” using our Games Portal for Kids. “Making Camp Dakota: Past & Present” is playable on PC, Mac, and Chromebook using any browser.

## 📚LESSON PLAN

1. 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, “Dividing 3-Digit Dividends” lesson. You can find the review copy of the activity here: “Review – On Your Way Home.” (10 minutes)
2. Students will take the information reviewed and use it to complete the “Build Your Own Division Problem” activity. In this activity, students practice division using 3-digit dividends and 1-digit divisors through using virtual manipulatives. (20 minutes)
3. To end the lesson, students can play Making Camp Dakota: Past & Present to further practice division. Students can access the game using our Games Portal for Kids. (20 minutes)

## ASSESSMENT

The “Build Your Own Division Problem” 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.

Making Camp Dakota Teacher Reports

You can view your students’ progress on mastering these standards by viewing your Making Camp Dakota teacher reports. You can access the Making Camp Dakota reports here.

## STATE STANDARDS

Minnesota State Standards

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.

## Related Lesson – Fill in the Blank: 3 Digit Dividends

The “Fill in the Blank: 3 Digit Dividends” lesson plan will have students reinforce the previously presented concept of long division of 3 digit dividends by 1 digit divisors through an animated video, a fill in the blank division word problem activity, and game play.

# Scrambled states: Ag in math

## 📖 Standard

NGSS 4-LS1-1:  Construct an argument that plants and animals have internal and external structures that function to support survival, growth, behavior, and reproduction.

CCSS.MATH.CONTENT.3.MD.B.4 Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot,

## ⏰ Time

3-4 hours over 4-5 sessions. The data collection will need to be completed at least two weeks after the seeds are planted.

## 📲 Technology Required

No technology is required. Students may use Jamboard for line plots and Google docs for word journals, but both of these activities can also be done on paper.

## 📃 Summary

Teachers read an age appropriate book about plants and record new vocabulary in their personal dictionary. The teacher or student selects an agriculture activity from the booklet More Scrambled States of Agriculture. Garden in a glove is one recommended activity. Students collect and record data on the number of days until germination, showing the results in one more more line plots.

## 📚 Lesson

It is recommended that this lesson follow the Scrambled States: Ag in Language Arts unit.

### Read an age appropriate book about plants.

Both the lesson plan for Garden in a Glove and More Scrambled States of Agriculture booklet have several recommendations for age appropriate books on plants in general or specific plants, like wheat. Teachers may wish to read the book aloud to the class, have students take turns reading aloud, either in groups or as a whole class, or assign to students to read on their own. I recommend 2-3 sessions of 15 minutes of read aloud or 20 minutes of independent reading.

### Update Word Journals

Students should update their word journals, what some teachers refer to as a “personal dictionary”, with any new words from the book. If this is your students’ first experience using a word journal, you may wish to give them this Google doc to read or read it together as a class, “Creating your personal dictionary.

### Select an Agriculture Activity (1 hour)

Garden in a glove lesson plan, found here, is my favorite and it could relate to almost any book on the list. You need:

• Food prep gloves – 1 for each student – that you can probably get from your school cafeteria,
• A bag of cotton balls
• 5 different packs of seeds
• A marker

Soak the cotton balls in water, put 3-5 seeds in each one and put five cotton balls, each with different seeds, in the five fingers of the glove. Don’t forget to write on each finger what is in it. Create a chart of the germination time for each type of seed. Read the lesson plan for more detail.

If Garden in a Glove doesn’t suit your needs, check More Scrambled States of Agriculture for ideas you might like better.

Ask students to generate hypotheses about how long it will take for the seeds to germinate, whether all the seeds will take the same amount of time (assuming you did Garden in a Glove).

## Record your measurements

Students create either :

• Create 5 line plot showing the number of seeds that germinated for each number of days, one plot for each type of seed, OR
• Create one line plot with a different color used for each type of seed.

Ask the students whether their hypotheses were supported.

#### OPTIONAL: WATCH THIS VIDEO ON CREATING A LINE PLOT

If your students are not familiar with line plots, you may want to have them watch this seven-minute video which explains line plots step by step.

Now that students have watched the video and collected the data, their final task is to create two line plots of their results. Feel free to copy and paste the text below into your Google classroom or other assignment.

## Assessment

Three forms of assessment are included in this assignment.

• In the personal dictionary or word journal, students are required to include a minimum of five words with definitions for 50 points. Each word, spelled correctly is 2 points and a correct definition is another 8 points. I deduct a point for grammar or spelling errors in the definition, but only one.
• For the agriculture activity, this is simply pass/ fail marked as completed or not.
• The line plots are scored based on accuracy. I give 10 points for each plot/ type of seed for a total of 50 points possible and another 10 points each for stating a hypothesis and answering whether or not it has been supported.

# Scrambled States: Ag in Language Arts

## 📖 Standard

CCSS.ELA-LITERACY.W.4.2 Write informative/explanatory texts to examine a topic and convey ideas and information clearly.

CCSS.ELA-LITERACY.RI.4.4 Determine the meaning of general academic and domain-specific words or phrases in a text relevant to a grade 4 topic or subject area.

## ⏰ Time

Three to five hours total. We recommend spreading this lesson over 3 to 5 days.

## 📲 Technology Required

None required. Students may used a computer or mobile device to access the states’ page or to watch a video on the Scrambled States but these resources are also available in print.

## 📃 Summary

Teachers read The Scrambled States of America book, or have students read book or watch video. Students select a state from National Ag in the Classroom site and take notes on their state, including new vocabulary. Students read a book related to their state – link to a list is provided. Students complete a notes page and then use this page to write an informational essay.

## 📚 Lesson

### Begin with The Scrambled States of America – book, audio book or video

Begin the lesson by reading the book The Scrambled States of America aloud to the class or you may play the audiobook in class along with the book (which I recommend). It’s very likely your public library has the audiobook available for free download. Students learning at home can download the audio book on to a phone or tablet. If you prefer, you can have students watch the video, in class or at home.

### Students Select a State and Learn about its Agriculture

National Ag in the Classroom site has an agricultural facts sheet for every state. You can add this link to their assignment in Google classroom (or write it on the chalkboard – https://www.agclassroom.org/teacher/agfacts/ )

If your students don’t have access to devices or Internet, you can print out the 51 sheets (including the District of Columbia) here.

### Update their Word Journals

As some of the words in the fact sheets may be new to fourth-graders, this is a great opportunity to update their word journals, what some teachers refer to as a “personal dictionary”. If this is your students’ first experience using a word journal, you may wish to give them this Google doc to read or read it together as a class, “Creating your personal dictionary.

### Read a Book Related to Agriculture in the State

Time required for this activity will vary depending on your students’ reading speed and choice of books. I recommend allotting 20 minutes per day over 2-3 days. If your school library does not have these available, you may be able to get from your public library. Also, remember, many public libraries have ebooks your students can read on any computer, tablet or phone. If you have not taken advantage of these services, now might be a great time to introduce them,

The Illinois Ag in the Classroom program has produced More Scrambled States of Agriculture a combination of agricultural fact sheets. reading list, agriculture science and art activities. Recognizing that students at a range of reading levels, books included range from Pre-K to grade 5-9 reading level, with reading levels listed next to each book. My favorite quote, from the book, “A Hog Ate My Homework.”

I would like to be a farmer when I grow up, because farming is easy!
They don’t need to go to school, because they just play in the dirt and ride around on ATVs. When it rains, they can just stay inside and play video games. When the sun comes back out, the corn just grows out of the ground by itself. In the fall, someone comes by, cuts it down, and gives the farmer a bunch of money. They use that money to buy candy and video games. The end.

– Willie

### Take Notes

Since this is likely your students first experience with research, I recommend the “foldable notes” to help them prepare. All they need to do is fold a piece of paper in half, then fold it again and a third time so now they have eight boxes. You can also have them use a Google slide with 8 boxes but often students like the physical activity of creating their notes.

Next, label each of the 8 boxes.

Crops    Livestock      Farms    Climate

Soil        Interesting    Book      Quote

You can use the foldable notes example here since students almost always ask for an example. I recommend having students go back to the state agricultural fact sheet and the book and take notes after having done the reading. It’s not a bad habit to learn to re-read something for information you may have missed the first time.

### Write a State of Agriculture Report

As this is likely to be the first informational essay students have written, I recommend providing students an example and sentence stems as prompts. You can find an example in this Google doc that uses the foldable notes from above to write an essay. The first page of the Google doc gives an outline, with sentence stems. The second page shows a completed informational essay.

## Assessment

Three forms of assessment are included in this assignment.

• In the personal dictionary or word journal, students are required to include a minimum of five words with definitions for 50 points. Each word, spelled correctly is 2 points and a correct definition is another 8 points. I deduct a point for grammar or spelling errors in the definition, but only one.
• For the foldable notes assignment, each note is 10 points for a total of 80 points. I do not grade grammar or spelling in the notes because these are for the student, however, I do highlight errors and tell students there will be a deduction if the error is in their essay.
• The essay is on a 0- 100 scale. I give 5 points each for title and author and 10 points for each of the prompts completed with one or more grammatically correct sentences. If a student does not respond to one of the prompts but instead includes other relevant information, for example, the number of people working in agriculture, that would be acceptable, too.

### Related Lesson

It’s recommended that this lesson be followed by Scrambled States: Ag in Math Class.

# Breaking Down Division with Remainders

Lesson by James Gumela

## 📖 STANDARD

CCSS.MATH.CONTENT.4.NBT.6 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.

30-45 minutes

## 📃 SUMMARY

This lesson plan will explore how students interpret remainders in the context of a problem. They will learn how to divide and have a number leftover. Students will be using the concept of division and remainders. An instructional video will be presented as well as a PowerPoint presentation and an educational game that can be used to reinforce the concept of remainders with assessment data.

## 📲 TECHNOLOGY REQUIRED

Device with web-browser (Chromebook, laptop or desktop computer); or iOS (iPhone/iPad) with access to Google apps.

## 📚 Lesson

### Watch Video

In division, remainders occur when a number can’t be evenly divided. This video will help the students understand the concept of remainders.

Also available in spanish:

### Break Down Long Division in a Presentation

This Google slides presentation: Division with remainders reviews the parts of a division problem; quotient, division and divisor, then works a sample problem step by step. The presentation ends with a practical question in a word problem- when you have a remainder, what do you do with the amount that remains?

### Play a Game – Making Camp Dakota

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.

#### Differentiated Instruction

GAME: Making Camp Premium

Have students play Making Camp Premium using these icons. Students who struggle with this standard will receive individual instruction within the game to teach and reinforce this concept.

## ASSESSMENT: Making Camp Premium Reports

You can view your students’ progress on mastering these standards by viewing your Making Camp Dakota and Making Camp Premium teacher reports. You can access the teacher reports here.

STATE STANDARDS:

Minnesota Math Standard 5.1.1.2 Consider the context in which a problem is situated to select the most useful form of the quotient for the solution and use the context to interpret the quotient appropriately.

# Ojibwe Clans and Migration

### 📖STANDARDS

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

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

40 minutes

### 📲 Technology needed

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

### 📃 Summary

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

## 📚 Lesson

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

## Game

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

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

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

### Assessment

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

### Related Lesson

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

# Problem-solving with pigs: Start at the end

## 📖Standard

CCSS.MATH.PRACTICE.MP4 Model with mathematics.

CCSS.MATH.PRACTICE.MP1 Make sense of problems and persevere in solving them.

60-75 minutes

## 📃 Summary

This cross-curricular lesson includes activities and instruction in agricultural science and math. Students begin by watching a video and learning about pig farms. After making their own pig barn, they watch two short videos about solving math problems. This information is then applied to solve problems during a presentation on math around the pig farm. Students end playing one of the Making Camp games to reinforce skills and knowledge.

## 📲 Technology Required

If teaching in person, the teacher will need a computer and projector or smart board to show the videos, or students can be given the links to watch on their own devices. Students will need a PC, Mac or Chromebook or tablet. Making Camp Premium, Making Camp Lakota and Making Dakota are all playable on any web browser on those devices.

## 📚 Lesson

This lesson starts with resources from National Ag in the Classroom

### Make a Pig Barn

This activity requires a few supplies but it is probably things you have lying around and your students will probably enjoy it.

• Business-size envelopes, 4 per group
• Paper towel, 1 per group
• Scissors
• Scotch tape

OPTIONAL

• Markers
• Toilet paper rolls, 2 per group
• Drinking straws, 2 per group (cut into 8 equal pieces)
• 8.5″ x 11″ white paper, 1 per group (cut in half)
• Extra paper for making fencing, pipes, feed troughs, etc. (optional)

### Instructions

Use the following instructions to model for the students how to create the barn:

1. Barn: Cut an oval hole in one envelope, making a large side window for the barn. This window provides the proper ventilation for the pigs.
2. Cut the paper towel in half and tape it onto the top of the window for the curtain.
3. Cut another envelope in half for the ends of the barn.
4. Tape the ends of the barn to the “sides of the barn” envelopes, one of which has the hole for the window and paper towel curtain, so that you have four sides, or a rectangle.
5. Use the final envelope to create a roof by creasing it in half lengthwise and attaching it with tape to the top of the rectangle.
6. Food Storage: Tape four straws, or legs, to each toilet paper roll so that the structures will stand on the legs.
7. Use a half piece of paper, and make a cone shape by twisting and taping the ends. Tape the cone shape on the end of the toilet paper roll without the straw legs.
8. Use the other half piece of paper to make another smaller cone shape and tape it between the straw legs on the other end of the toilet paper roll.

If you’d like, you or your students can watch the instructions here. You can also assign this video for students learning at home to watch so they know how to make the barn. The plus is that just about every house will have every single one of these items except possibly the straws.

### Optional additional science and language arts content

This link to the National Ag in the Classroom lesson has more information on pigs and pig farming, including some of the vocabulary used in the math lesson as well as a discussion of the ways farmers care for animals. I highly recommend checking it out.

### Watch a video on operations key words

Trust me, this does come back to pig farming!

Students watch this video on operations keywords. This two-minute video has been watched over 14,000 times, which gives some indication of how useful students and teacher find the concept of looking at the words in a problem to decide which operation to use.

### Watch a video on problem-solving – Start at the end

This 3 1/2 minute video explains that the end of the word problem is where you usually will find the question you are expected to solve. It includes one easy and one harder example, as well as a couple of useful tips.

Give a presentation

This 34-slide deck on problem-solving reinforces the information in the two math videos and gives students three problems of increasing difficulty where they have to start at the end, all centered around Laura’s pig farm.

### Play a game

Now that students have been introduced to problem-solving with multiplication and division word problems, it’s time to play a game and reinforce those skills. Which game depends on what you feel your students need most. There is overlap among the games as each includes some review.

Making Camp Premium – focuses primarily on multiplication of one- and two-digit numbers. Also includes division with one-digit divisors. The content is taught in the context of Ojibwe history and culture.

Making Camp Lakota – focuses primarily on division with one-digit divisors. Also includes multiplication of one- and two-digit numbers. The content is taught in the context of Lakota history and culture.

Making Camp Dakota – focuses primarily on division of three-digit numbers with one- and two-digit divisors. Also includes multiplication of one- and two-digit numbers and division with one-digit divisors. The content is taught in the context of Lakota history and culture.

## Assessment

Assessments are built into the presentation, as teachers can have students submit their answers in writing or in a Google chat prior to giving the answers during the presentation. Teachers can also see which standards students have attempted and how many problems they have answered correctly in the Making Camp teacher reports.

### Related lesson : Problem-solving Two ways

As the title suggests, this lesson introduces students to two other problme-solving strategies. They watch a video on visualization, then solve a problem that asks them to visualize. After watching a video on building a model, students build and/or draw their own model of a multiplication problem or property.

# Animal Idioms

## 📖Standards

CCSS.ELA-LITERACY.L.3.5 Demonstrate understanding of figurative language, word relationships and nuances in word meanings.
CCSS.ELA-LITERACY.L.4.5.B Recognize and explain the meaning of common idioms, adages, and proverbs.

45 minutes

## 📲 Technology Required

Students must have access to laptops, desktop computers, or tablets with an internet connection if they are playing Making Camp Premium in a web browser. Teachers need a projector with a laptop to present the slideshow.

## 📃 Summary

This idioms lesson for Grades 3-4 begins with a presentation, popular song about idioms, a list of animal idioms, two video games, and an idioms matching activity. Also enclosed is a book list for Grades 1-4 about idioms.

Note: This lesson can include the Idioms Book Activity (which needs paper, coloring tools, and some preparation time for booklet assembly).

## 📚 Lesson

1. The lesson slideshow, Animal Idioms, begins with a song video about idioms and then a short warm-up using three idioms. The answers to the warm-up are provided. Students will gain more understanding of how some idioms can have the same meaning.
2. Match the Idioms: Students can work together in groups, pairs, or individually for the Match the Idioms formative assessment activity with manipulatives. The answer key for the two sets (20 in all) is provided here. Distribute a copy of the Slides file and review the answers with them later, using the answer key.
3. Use idioms in a creative writing activity: If you are remote or in class, students can pick some animal idioms from the Match the Idioms answer key to use in sentences, a short story, or a poem using their chosen idioms.

## Assessment

1. Students can choose their favorite idioms to illustrate in their Idiom Book, which they can make themselves, for assessment. This activity is great for in-class activity as the materials are easily accessible, but can be done remotely as well.
2. For formative/summative assessment, have students play Making Camp Premium idioms mini games so their game progress will be recorded and accessed from your teacher reports dashboard.

## Game

Students will play the Words section of the Making Camp Premium from our selection of Growing Math games. The Words section features four minigames that focus only on idioms. If they are remote, students may use their phone or tablet app or play using the web browser game link on a desktop computer. You will be able to monitor the student answers from your teacher reports account. This will also inform you if the students have participated in practicing using the video games.

Enclosed in the slides is another link to a web browser game about idioms offered from a standards-aligned website. You won’t be able to monitor the students on it, but it can be used as another potential resource for idioms practice.

# Fractions Equal to 1

## 📖STANDARD

CCSS.MATH.CONTENT.3.NF.A.2 Understand a fraction as a number on the number line; represent fractions on a number line diagram.

CCSS.MATH.CONTENT.3.NF.A.2.A Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line.

CCSS.MATH.CONTENT.3.NF.A.2.B Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.

CCSS.MATH.CONTENT.4.NF.B.3.D Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.

45 minutes

## 📃 SUMMARY

This lesson plan will build upon the already introduced concepts and key terms of fractions in our “Introducing Fractions” lesson plan. Students will learn that a fraction N/N =1 and be able to solve problems with fractions equal to 1 in various contexts, including number lines, time and pizza.

## 📲TECHNOLOGY REQUIRED

Students will need a PC, Mac or iPad. Fish Lake is playable on PC and Mac through an online download and installation as well as on iPad through an App Store download. Students will also need access to the games

## 📚 LESSON

1. Start the lesson by having your students watch the “Fractions Equivalent to 1” video. In this video, students are introduced to the concept of when fractions equal 1 and shown different examples. (This video is 3 minutes and 32 seconds.)
1. Students will take the information from the video and use it to complete the “A Fraction Can Equal 1” activity in this Google slides deck. In this activity, students practice grasping the concept of a fraction, N/N, equaling 1 through different real-world situations. (20 minutes)
2. To end the lesson, students can play Fish Lake to further practice fractions. (20 minutes)

## ASSESSMENT

Assessment is built into the conclusion of the activity where students break apart the number line into N parts, label the number line, and state what fraction equals 1. The last activity problem will show if students have understood the concept of N/N = 1. Fish Lake data reports are also available for teachers to access after students have finished playing.

### STATE STANDARDS

Minnesota State Standards

3.1.3.1 – Read and write fractions with words and symbols. Recognize that fractions can be used to represent parts of a whole, parts of a set, points on a number line, or distances on a number line.

3.1.3.2 – Understand that the size of a fractional part is relative to the size of the whole.

# Problem-solving Two Ways

## 📖Standard

CCSS.MATH.PRACTICE.MP4 Model with mathematics.
CCSS.MATH.PRACTICE.MP1 Make sense of problems and persevere in solving them.
CCSS.Math.Content.3.OA.B.5 Apply properties of operations as strategies to multiply and divide.

30-40 minutes

## 📃 Summary

Students are introduced to the various means of problem solving in a brief presentation. They watch a video on visualization, then solve a problem that asks them to visualize. After watching a video on building a model, students build and/or draw their own model of a multiplication problem or property. Lesson concludes with game play to reinforce these problem-solving strategies and learn more. This lesson assumes that students have some familiarity with multiplication of one-digit numbers and division with one-digit divisors.

## 📲Technology Required

If teaching in person, the teacher will need a computer and projector or smart board to show the videos, or students can be given the links to watch on their own devices. Students will need a PC, Mac or Chromebook or tablet. Making Camp Premium, Making Camp Lakota and Making Dakota are all playable on any web browser on those devices. Spirit Lake: The Game, playable on Mac or Windows computers also teaches these same concepts. Students will also need access to the games.

## 📚 Lesson

### Watch a Video: Visualize (2:38)

This video teaches you how to visualize a problem. Visualization may help you solve it more easily. If you use objects to imagine quantities of numbers in certain problems, you will be able to find the solution faster.

### Short presentation and problem (10 minutes)

After watching the video, teachers can present this short Google slides presentation or assign to students in Google classroom, giving another example of visualizing a problem. The presentation ends with asking students to visualize another problem themselves. It then leads into the next video.

### Watch a video: Build a Model (1:37)

If you’d rather give a presentation than show a video, here is a Google slides deck you can use as is for copy to your own Google drive and modify.

### Actually Build a Model (10 minutes)

Two possible assignment for building a model are:

• Have students create a model using Google draw, jam board or simply drawing it on paper.
• Build a physical model using objects in their home or school

Google slides presentation describing these assignments is given here. You can simply save to your own Google classroom and then assign to your class to include both types of problems or modify to add more explanation or delete whichever one does not apply to your class before assigning.

### Play a game (15 minutes)

Assign students to play Making Camp Premium (plays on any device) or Spirit Lake (plays on Mac and Windows computers) to practice these problem-solving strategies and more with multiplication and division. Play Making Camp Lakota to reinforce division skills and concepts.

## Assessment

Two assessments are built into the lesson, on visualization and building a model. Teachers can also see which standards students have attempted and how many problems they have answered correctly in the Making Camp teacher reports.

### Related: Problem-solving Two Ways (Bilingual English & Spanish)

The lesson above has a companion lesson for English Learners. Problem-solving Two Ways (Bilingual English & Spanish) is the same lesson from above but provides the resources, videos and Google Slides, in English and Spanish.