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.
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.
Device with web-browser (Chromebook, laptop or desktop computer); or iOS (iPhone/iPad) with access to Google apps.
In division, remainders occur when a number can’t be evenly divided. This video will help the students understand the concept of remainders.
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.
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.
Minnesota Math Standard 22.214.171.124 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.
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.”
Internet connection on a PC or Chromebook laptop, tablet, or phone.
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.
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.
Making Camp Premium can reinforce clans and culture studies using the Life section.
Select the LIFE button from the main choice screen.
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.
Next, select the box on the bottom right. Watch the overview video on clans and totems. Answer the questions.
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.
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.
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.
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.
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.
This lesson starts with resources from National Ag in the Classroom
Virtual tour of pig farms
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
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)
Use the following instructions to model for the students how to create the barn:
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.
Cut the paper towel in half and tape it onto the top of the window for the curtain.
Cut another envelope in half for the ends of the barn.
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.
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.
Food Storage: Tape four straws, or legs, to each toilet paper roll so that the structures will stand on the legs.
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.
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.
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.
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.
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.
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).
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.)
To end the lesson, students can play Fish Lake to further practice fractions. (20 minutes)
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.
Minnesota State Standards
126.96.36.199 – 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.
188.8.131.52 – Understand that the size of a fractional part is relative to the size of the whole.
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.
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.
Watch a Video: Visualize
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
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.
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.
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.
CCSS.MATH.CONTENT.4.NBT.B.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.
This lesson will build upon the already introduced concepts and vocabulary of division in our “Introducing Division” lesson. Students will learn and be able to practice dividing 3 digit dividends by 1 digit divisors through a short review, activity, and game play.
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.
Have students work through the On Your Way Home division activity where they take what they know and practice dividing 3 digit dividends by 1 digit divisors. The activity takes division problems and puts them into real-world context, visiting stores on your way home from the park.
Have students play Making Camp Premium and/or Making Camp Dakota. The division magnets game in Making Camp Premium can be used as review before moving on to Making Camp Dakota. The division in Making Camp Dakota will be more practice for problems with 3 digit dividends divided by 1 digit divisors.
Assessment is built into the “On Your Way Home” activity through the creation of their own division problem after repeated practice of 3 digit dividends divided by 1 digit divisors.
Minnesota State Standards
184.108.40.206 – 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.
220.127.116.11 – 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.
CCSS.ELA-LITERACY.RI.5.9 Integrate information from several texts on the same topic in order to write or speak about the subject knowledgeably.
Students must have laptops, desktop computers, or tablets with an internet connection. Make time to transition from doing a slides presentation to having students log into Making Camp Premium.
This social studies lesson for Grades 3-5 explores the history and application of plants as both medicine and food in the every day lives of indigenous people of North America.
This 40-minute lesson begins with a 20-minute presentation on how indigenous people used plants for medicine and a plant-based diet to insure their health. It ends with 20 minutes of gameplay in Making Camp Premium to help reinforce how plants were used by the Ojibwe, indigenous people living on the Great Plains. Here’s an overview of the bite-sized minigame you can use to reinforce this slideshow lesson.
Making Camp Premium’s wild rice game features a two-minute long passage that is read aloud. and then playing a mini survival game. Players collect wild rice in a canoe. They must avoid a hungry, pursuant bear and hazardous logs.
Introduce the Lesson In the Medicine Ways Google Slides presentation, students learn a brief history of Native American herb gathering and how indigenous people are pursuing health and wellness with plants. This presentation uses an example of a diet called the Waianae Diet, which is an indigenous diet used in Native Hawaiian cultural diet revitalization.
2. Students will play Making Camp Premium for 15-20 minutes.
Play Making Camp Premium.
In Making Camp Premium, click the icon called LIFE, and then find the icon that has a brown wild rice plant. Students will listen to the audio being read with highlighted paragraphs. They won’t be able to skip ahead or skip the passage.
This lesson has a section of formative assessment in the form of manipulatives for classifying junk food and healthy food.
Students have the option to make a Personal Dictionary.
The wild rice minigame is a gamified learning segment about history and culture.
See the social studies lesson, Cattails, for Grades 3-5 for an in-depth look at this all-around useful herb that boosts survival in the harsh wilderness, and is still being used today, with new applications as biofuel and pollution clean-up.
CCSS.ELA-LITERACY.RI.4.1 Refer to details and examples in a text when explaining what the text says explicitly and when drawing inferences from the text.
CCSS.ELA-LITERACY.RF.4.4.A Read grade-level text with purpose and understanding.
Students will listen to or read a slide presentation. They will read an informational passage on cattails, write a summary and add new vocabulary words to their personal dictionary. The lesson ends with playing a game that teaches how medicinal herbs were used by indigenous people.
Making Camp: Past and Present runs on the browser on any computer or tablet. Spirit Lake: The Game runs on Mac and Windows computers.
Introduce the lesson
Use this Google slides presentation to introduce the lesson and provide some information on traditional and modern uses for cattails. It also discusses the use of plants by Native Americans and in games.
Students complete an assignment given at the end of the informational passage they have just read.
Play Making Camp: Past and Present . Available March, 2021. After logging in, select LIFE.
From the LIFE section, select the icon with the pink flowers (top right). This will play a short video on use of herbs in traditional indigenous cultures in the upper Midwest.
After watching the video, students complete an activity where they match the herb with its use.
Have students play either Spirit Lake: The Game , available for Mac or Windows
In the Spirit Lake game, students learn that the purple cone flower was used for medicine and use multiplication to compute the number to bring back from the woods in the virtual world.
Students produce written assignments assessing vocabulary and reading comprehension. Data reports on students performance on math problems and progress in the game for Spirit Lake can be accessed at growingmath.org with your password. Reports for Making Camp Past and Present will be available in March, 2021.
CCSS. Math 3OA.A.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
CCSS.MATH.CONTENT.3.OA.C.7– Fluently multiply and divide within 100
NCSS The study of people, places, and environments enables us to understand the relationship between human populations and the physical world.
Computer/tablet with internet access for reporting student assessment data from Making Camp.
Ojibwe History Integrated with Math If your students are like most people, you’re having a hard time getting them to focus. Each of these three activities only takes a few minutes and teaches Native American history or multiplication. These 10-minute lessons can be done as stand-alone activities at the beginning or end of a class to raise student engagement, or the three in this unit can be combined for a single 30-45 minute lesson.
Step 2: If students are playing the game for the very first time, they will watch the two introductory videos that talk about Native Americans and how to play the game (5 minutes). Then you will see the Making Camp choice screen.
Step 3: Have students click the NUMBERS box to view the six math challenges. You can press the round, green button at the bottom left with white squares to return to the choice screen at any time.
Step 4: Have students click on the top left box (with cards) to play a memory game. In this game, you match multiplication problems with their answers. You may assign this activity for 5 minutes of multiplication drills.
The Multiplication Dog
Step 1: Have students click on the icon with the dog.
This lesson opens with a paragraph explaining that some tribes used dogs to haul heavy loads, using a type of sled called a travois. The player then has the opportunity to earn a dog and items for their dog in the game by answering multiplication problems. The game resets when it is finished, and also takes about 5 minutes.
Reaping the Rewards of Math Practice at the Wigwam
The player should now have enough points to get a wigwam and at least two items to supply their wigwam.
Step 1: Click on the wigwam icon on the bottom left. This will play a video on how a wigwam was built, followed by a second video that briefly discusses that trading existed between and within tribes long before the settlers came.
Step 2: The player then has an option to trade points for items for their wigwam.
Clicking on the wigwam in the lower left corner will bring the player to their wigwam. Purchased items appear here for decoration and interaction.
Clicking on an item brings up a text box with information on how that item was used or obtained by the Ojibwe people.
Some items also perform actions when clicked. For example, the parfleche opens to show pemmican inside; when clicked, the dog walks across the wigwam.
Making Camp Premium offers Data and Reports for teachers to access after students are finished playing.
Minnesota History Substrand 2, Standard 3. Historical events have multiple causes and can lead to varied and unintended outcomes.