CCSS. Math 3OA.A.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
CCSS.MATH.CONTENT.3.OA.C.7– Fluently multiply and divide within 100
NCSS The study of people, places, and environments enables us to understand the relationship between human populations and the physical world.
⏰Time Required
10 minutes
📲Technology Required
Computer/tablet with internet access for reporting student assessment data from Making Camp.
📃Summary
Ojibwe History Integrated with Math If your students are like most people, you’re having a hard time getting them to focus. Each of these three activities only takes a few minutes and teaches Native American history or multiplication. These 10-minute lessons can be done as stand-alone activities at the beginning or end of a class to raise student engagement, or the three in this unit can be combined for a single 30-45 minute lesson.
Step 2: If students are playing the game for the very first time, they will watch the two introductory videos that talk about Native Americans and how to play the game (5 minutes). Then you will see the Making Camp choice screen.
Step 3: Have students click the NUMBERS box to view the six math challenges. You can press the round, green button at the bottom left with white squares to return to the choice screen at any time.
Step 4: Have students click on the top left box (with cards) to play a memory game. In this game, you match multiplication problems with their answers. You may assign this activity for 5 minutes of multiplication drills.
Activity 2
The Multiplication Dog
Step 1: Have students click on the icon with the dog.
This lesson opens with a paragraph explaining that some tribes used dogs to haul heavy loads, using a type of sled called a travois. The player then has the opportunity to earn a dog and items for their dog in the game by answering multiplication problems. The game resets when it is finished, and also takes about 5 minutes.
Activity 3
Reaping the Rewards of Math Practice at the Wigwam
The player should now have enough points to get a wigwam and at least two items to supply their wigwam.
Step 1: Click on the wigwam icon on the bottom left. This will play a video on how a wigwam was built, followed by a second video that briefly discusses that trading existed between and within tribes long before the settlers came.
Step 2: The player then has an option to trade points for items for their wigwam.
Clicking on the wigwam in the lower left corner will bring the player to their wigwam. Purchased items appear here for decoration and interaction.
Clicking on an item brings up a text box with information on how that item was used or obtained by the Ojibwe people.
Some items also perform actions when clicked. For example, the parfleche opens to show pemmican inside; when clicked, the dog walks across the wigwam.
Assessment
Making Camp Premium offers Data and Reports for teachers to access after students are finished playing.
State Standards
Minnesota History Substrand 2, Standard 3. Historical events have multiple causes and can lead to varied and unintended outcomes.
The lesson above has a companion lesson for English Learners. 10-Minute Multiplication Practice with Ojibwe History (Bilingual English & Spanish) is the same lesson from above but provides the resources in English and Spanish, featuring Making Camp Bilingual.
CCSS.MATH.CONTENT.4.NBT.B.5 – Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations.
⏰Time
35- 45 minutes
📲Technology Required
Computer with a projector, Smartboard or other device for your class to watch videos
NOTE: You’ll also need 20 math problems: 3-digit numbers multiplied by a 2-digit number. You can use what you already have, use the worksheet provided or use the Multiplication Worksheet Generator to make your own worksheet.
📃Lesson Summary
Students practice multiplication for a few problems, watch a video on using estimation to solve problems, hear a brief presentation from their teacher, solve more practice problems, watch a second video and practice more problems. They end the lesson with a game and a discussion of which strategies proved most useful.
📚Lesson Plan
Start with multiplication problems
Have the students solve 3 to 5 problems.
NOTE: This lesson requires a total of 9 to 15 multiplication problems. This worksheet has 24 problems multiplying a three-digit numbers by a two-digit number. Teachers can assign any selection of these problems or use their own. We give the students a worksheet of 24 problems and tell them to pick any ones they want to solve. Of course, teachers should do whatever works for them.
Practice multiplying 2-digit and 3-digit numbers again
Now that students have had a chance to watch and discuss the video showing long multiplication, step by step, it’s time for them to practice again. They have 10 minutes to complete another 3 to 5 math problems.
Watch another video to review the steps
Now that students have watched one video and practiced their skills with a few problems they watch a second video to reinforce those steps.
Practice multiplying 2-digit and 3-digit numbers again
Now that students have had a chance to watch and discuss the video showing long multiplication, step by step, it’s time for them to practice again. They have 10 minutes to complete another 3 to 5 math problems.
Peer-grading (optional)
You may wish to share the answer key with students and have them grade their own or their peer’s problems.
Discussion
As a class, discuss strategies for solving problems, including doing a reality check, estimation and breaking problems into smaller problems. Ask students which strategies worked best for them.
Play a Game
Both Spirit Lake: The Game and Making Camp Dakota (released in February, 2021) teach multiplication of two- and three-digit numbers.
Device with web-browser – Chromebook, laptop or desktop computer, phone or tablet
📃 Summary
Students learn about what foods the Ojibwe people ate and how their diet changed when they were forced on to the reservation. They play a multiplication tic-tac-toe to snare rabbits and spend the points earned in the game to outfit their wigwam.
📚 Lesson
1. Watch a one-minute video on rabbit stew
Narrated by Deb Gourneau, of Turtle Mountain, this video explains the importance of rabbit stew in helping people survive when food was scarce.
2. Play Rabbit Tic-Tac-Toe in Making Camp Premium
Remember, clicking on the link with the boxes in the bottom left corner will always take you to the choices page.
Click on the box with the rabbit to play a tic-tac-toe game in Making Camp. Each correct multiplication problem snares a rabbit. Incorrect problems leave an empty snare.
When you win this game, there will be an arrow to go back to the numbers page.
3. Play a Matching Game to earn more points
Click on the box with the buffalo to match multiplication problems with their answers.
4. Learn what else was part of the Ojibwe diet
Now that you have 4 more points, go back to the wigwam and if you have not already traded for these, select the fish, deer hide or parfleche to see what else the Ojibwe would eat. Click on each of these items in your wigwam to learn more about it.
Minnesota Math Standard 3.2.2.2 – Use multiplication and division basic facts to represent a given problem situation using a number sentence. Use number sense and multiplication and division basic facts to find values for the unknowns that make the number sentences true.
Minnesota Math Standard 4.1.1.1 – Demonstrate fluency with multiplication and division facts.
Minnesota History Substrand 2, Standard 3. Historical events have multiple causes and can lead to varied and unintended outcomes.
CCSS.MATH.CONTENT.3.MD.D.8 Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
CCSS.MATH.CONTENT.4.MD.A.3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems.
⏰LESSON TIME
45 minutes
📃 SUMMARY
In this lesson, students will learn how to compute perimeter of different polygons using multiplication and apply those skills in game-based practice problems. They will then learn about different Indigenous traditional dwellings. The lesson ends with students contributing to and solving problems that integrate the reading on dwellings and perimeter in an online assessment.
📲 TECHNOLOGY REQUIRED
Device with web-browser (Chromebook, laptop or desktop computer); or iOS (iPhone/iPad) with Google Drive apps.
📚 Lesson
1. Play GAME: Making Camp Premium
For 15 minutes, have students play the game Making Camp Premium.
Instruct them to specifically play the mini-game with this icon
If they need a refresher in how to compute perimeter, they should click this icon to watch a video
ALTERNATIVE: Perimeter is also covered in the second half of Spirit Lake: The Game, which is currently available for Windows and Mac computers.
2.READ: Home, Sweet Home: Tipis, Hogans, Wigwams and More
This activity draws from the “Home, Sweet Home” reading and lessons on perimeter to have students apply their understanding of how to compute the perimeter of rectangles, triangles and hexagons using multiplication. Get the Google slides presentation here. Students contribute numbers to create multiple problem options.
(Estimated time: 10 minutes)
ASSESSMENT
You can view your students’ progress on mastering these standards by viewing your teacher reports. Both Making Camp Premium and Spirit Lake Report links can be found on this reports page. You should have received a password during the Growing Math training. If you need the password, email growingmath@7generationgames.com from your school email account and we’ll get the password to you right away.
State Standards
Minnesota Math Standard 3.3.2.2 – Find the perimeter of a polygon by adding the lengths of the sides.
Minnesota Math Standard 4.3.2.4 – Find the areas of geometric figures and real-world objects that can be divided into rectangular shapes. Use square units to label area measurements.
CCSS.MATH.CONTENT.4.NBT.B.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations.
CCSS.MATH.CONTENT.4.OA.A.3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operation … Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
⏰ Time
This lesson takes 40 minutes to an hour, depending on how long you allot your students to complete each of the 4 problem sets and whether you have students play the game.
📲 Technology Required
Computer with a projector, Smartboard or other device for your class to watch videos or videos can be shared in Google meet or other application for remote learning. Spirit Lake: The Game can be downloaded and played on Windows or Mac computers. An iPad version will be available by Fall 2021. Schools that are part of the Growing Math project or who have a 7 Generation Games site license will have access to all of these games for students to use at home or school.
Optional Recommended Resource
Use resources like the Helping Math Multiplication Worksheet Generator to make your own worksheet. Their worksheets look very much like this one on multiplication of two-digit numbers with Easter egg examples, except with many more activities in each worksheet. Note that the link will require you to register for a free download. Registration takes about 1 minute. You’ll then receive a link to download over 100 free worksheets on math topics from addition to rational numbers. Another resource we like is the Lizard Point math worksheet generator. Both will print the worksheets as well as the answer key. Note that sites using PRINT TO Google Drive may have that feature disabled after December, 2020. However, you can still from the PRINT menu select SAVE AS PDF, download a file as PDF and then upload it to your Google Drive. The Growing Math project has no affiliation with Helping Math or Lizard Point.
📃 Summary
You’ll need 20 math problems multiplying two-digit numbers. You can use math problems you already have or use one of the online worksheet generators. Based on research showing the effectiveness of distributed practice – that is, practicing a skill for more, shorter periods rather than one long session – we have students solve a few problems at a time, with videos in between. The lesson begins with a brief explanation of multiplying two digit numbers, followed by students solving 3-5 problems multiplying two-digit numbers. Students then watch a 3-minute video that works an example of multiplying a three-digit number by a two-digit number. They then solve 3-5 more problems, followed by another video, then more problems. We recommend giving a time frame – say, 7-10 minutes – to solve the problems rather than set number of problems because this allows you to begin and end each section of the lesson with all of the students at once.
📚 Lesson Plan
1. Introduction to Multiplying Two-digit Numbers
Begin with an example from Helping with Math, that gives an explanation of multiplication and a variety of types of problems. Then, have the students try to solve 3 to 5 problems. You can use those included in the Google slides linked or create your own.
2. Video : Multiplication and Estimation
Estimation is one of the most practical math skills!
There are a lot of math concepts that I use regularly when writing software or computing statistics in my day job. The one skill I use all the time is estimation. (I can tell you that the ability to accurately estimate an answer is not universal.)
Example 1: Long multiplication using “math reality checks.”
In the problem in the video above, we start out by multiplying 892 x 11, using the fact that any number multiplied by 10 is just that number with an added zero. To test our answer, we round 892 to 900 and can estimate that our answer should be near to – and less than – 9,900.
Let’s say you type the wrong number in your phone, hitting the 6 instead of the 9, since these two are pretty close and you have big fingers. Now your answer is 7,612. If you have a good grasp of estimation and multiplication, that is clearly wrong. If you’re computing how much money you need to charge a customer based on the 892 hours you expect to work at $11.00 per hour, you have just lost out on over $2,000!
3. More multiplication problems
Now that you have had a little practice and a little instruction, students solve another 3-5 problems.
4. Video : Multiplication and Estimation
This video works through a problem multiplying a 3 -digit number by a two-digit number . It also gives a strategy for solving difficult problems. That is, break the problem into smaller, easier problems.
Video 2: Use addition to solve a multiplication problem.
Here, because the last digit of one number is 7 and of the other number is 2, you know that 7 x 2 = 14. So, whatever else your answer is, it has to end in a 4.
5. Follow up to the video
As a math teacher, I heard approximately 4,897,234 times from students:
WHY do I have to do so many problems of the same type?
– Almost every student I ever taught math
Explain to students that all of those facts learned, like 2 x 7 =1 4 are the basis for the commutative property of multiplication, reducing numbers to lowest terms, or solving equations by multiplying or dividing both sides by a constant, and more. You need a BASE to work from, problems that can be examples.
The fact is that the more experience you have with numbers, the more problems you solve. The more problems solved, the easier it gets.
6. Finish off by a few more math problems
Now that you’ve watched another video, it’s time for the last set of math problems.
7. Optional – Game Play
Students can Spirit Lake: The Game . Multiplying two- and three-digit numbers comes up in Level 4. We recommend allowing students to play for 15-30 minutes each session. This gives them enough time to get started but not enough time to get bored.
Assessment
Answers to the 12 -20 math problems completed by the student provide one assessment. A second assessment is in the reports for the Spirit Lake game, which show whether students answered correctly the problems in Level 4, whether they read the hint before answering the problem, and whether they were correct on the first try or had to attempt the problem more than once.
State Standards
Minnesota Math Standard 4.1.1.3 – Multiply multi-digit numbers, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms.
Minnesota Math Standard 5.1.1.4 – Solve real-world and mathematical problems requiring addition, subtraction, multiplication and division of multi-digit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results.
CCSS.MATH.CONTENT.3.OA.A.1 – Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each.
CCSS.MATH.CONTENT.3.OA.A.3– Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities.
CCSS.MATH.CONTENT.3.OA.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, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
⏰ Time
Each lesson will require 20-30 minutes. With the four lesson plans, total time is approximately 1 1/4 to 2 hours spread over one to two weeks.
📲 Technology Required
Making Camp Premium plays in any browser, so, of course, on Chromebooks. It can also be downloaded on phones or tablets and played offline by students who have limited Internet access. The teacher will need a computer, for showing to students learning from home, and a projector if showing videos in the classroom. If the classroom does not have access to a projector, the videos can be skipped. Spirit Lake: The Game can be downloaded and played on Windows or Mac computers. Schools that are part of the Growing Math project or who have a 7 Generation Games site license will have access to all of these games for students to use at home or school.
📃 Summary
Our single-digit multiplication series is for Grade 3, although some teachers find themselves doing this in grade 4. The lesson plans with PDF links for printing and Google slide presentations are provided below. We assume you have already completed multiplication tables for 0 through 5 and for the 10s table. While it may be tempting to do all lessons in one week, we have found it works better to spread this over a two-to three-week unit.
Students use visual drawings, manipulatives, and a number line to learn multiplication of one-digit numbers, coupled with their verbal explanations.
Students will create number sentences independently and with a partner.
Learning and memorizing multiplication patterns will improve later understanding of division.
Determine the unknown whole number in a multiplication equation relating three whole numbers.
Optional Brain Power activities have students write their own word problems.
Students play games that reinforce memory and apply multiplication in word problems.
📚 Lesson Plans
Learning from home / hybrid learning tip
Several lessons include an activity, “Work with a partner. Take turns creating your own number sentences and solving them.” This can be modified in three ways:
In a hybrid class, where students come in half of the days, have students leave the number sentences to be solved by the other half the following day. Of course, students can also do the activity with other students in their class that day.
If students are learning from home using Zoom or Google Meet, they can post their number sentences in the chat for other students to solve.
Students at home can include their number sentences in homework they return either in packets or electronically and receive number sentences submitted by other students returned in the same format (homework packets, email, etc.)
If students have unreliable Internet access, the Spirit Lake Demo can be downloaded on Mac or Windows computers and played off line. Installers are available for Windows and macOS.
Tell students that this week they are going to learn how to multiply numbers from 6 to 9. Now that they know most of their multiplication tables from 0-5, they are ready to play Making Camp at the end of the lesson. Start with this Google slides presentation that introduces multiplication and arrays. Feel free to modify the slides to provide more explanation as needed by your students.
Teaching students at home and need to print out the slides?Click here for a PDF.
End the lesson by playing Making Camp Premium or Spirit Lake for 15-30 minutes.
Lesson 7 – Multiplying by 7
Depending on your students’ progress and interest, you may want to hold off on this lesson for another day or jump right into it after the six tables. Personally, I find it works much better if these lessons are spread out across at least one day each. Today’s lesson starts with a Google Slides presentation that practices multiplying by 7.
Teaching students at home and need to print out the slides?Click here for a PDF.
End the lesson by playing Making Camp Premium or Spirit Lake for 15-30 minutes.
Lesson 8 – Multiplying by 8
Almost there! For a little variety, start the lesson with a game, either Making Camp Premium or Spirit Lake. After playing the games, for even more variety, this Google slides presentation shows students how to insert images in Google doc or slides files so they can create their own illustration of concept like 8 x 6 = 48 .
Teaching students at home and need to print out the slides?Click here for a PDF.
After the presentation, students should play Making Camp for 15-30 minutes. If you would like stickers, pencils or other incentives to give your students to congratulate them for learning their multiplication tables to 100, just email support@7generationgames.com and we’ll be happy to send you a teacher gift pack.
End the lesson by playing Making Camp Premium or Spirit Lake for 15-30 minutes.
Teaching students at home and need to print out the slides?Click here for a PDF.
Assessment
Each lesson includes multiple assessment:
Students complete the multiplication tables – these can be shown with a projector (in class), on a screen, if teaching remotely, and on paper for students learning at home.
Students write their own number sentences using the multiplication learned each lesson.
Students complete the problems written by their classmates.
Optionally, students write word problems.
Optionally, student complete word problems written by their classmates.
Making Camp Premium and Spirit Lake both have teacher reports showing the number of multiplication problems attempted and answered correctly.
State Standards
Minnesota State Standard 3.1.2.3 – Represent multiplication facts by using a variety of approaches, such as repeated addition, equal-sized groups, arrays, area models, equal jumps on a number line and skip counting. Represent division facts by using a variety of approaches, such as repeated subtraction, equal sharing and forming equal groups. Recognize the relationship between multiplication and division.
Minnesota State Standard 3.1.2.4 – Solve real-world and mathematical problems involving multiplication and division, including both “how many in each group” and “how many groups” division problems.
Minnesota Math Standard 3.2.2.2 – Use multiplication and division basic facts to represent a given problem situation using a number sentence. Use number sense and multiplication and division basic facts to find values for the unknowns that make the number sentences true.
CCSS.MATH.CONTENT.3.OA.A.1 – Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each.
CCSS.MATH.CONTENT.3.OA.A.3– Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities.
CCSS.MATH.CONTENT.3.OA.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, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
⏰ Time
Each lesson will require 20-30 minutes. With the five lesson plans, total time is approximately 2 to 2 1/2 hours spread over one to two weeks.
📲 Technology Required
Making Camp Premium plays in any browser, so, of course, on Chromebooks. It can also be downloaded on phones or tablets and played offline by students who have limited Internet access. The teacher will need a computer, for showing to students learning from home, and a projector if showing videos in the classroom. If the classroom does not have access to a projector, the videos can be skipped.
📃 Summary
Our single-digit multiplication series is for Grade 3. The lesson plans with PDF links for printing and Google slide presentations are provided below. If you need to go back to basics, visit ‘Multiplication as Repeated Addition.’ While it may be tempting to do all lessons in one week, we have found it works better to spread this over a two-to three-week unit.
Students use visual drawings, manipulatives, and a number line to learn multiplication of one-digit numbers, coupled with their verbal explanations.
Students will create number sentences independently and with a partner.
Learning and memorizing multiplication patterns will improve later understanding of division.
Determine the unknown whole number in a multiplication equation relating three whole numbers.
Optional Brain Power activities have students write their own word problems.
Students play games that reinforce memory and apply multiplication in word problems.
📚 Lesson Plans
Learning from home / hybrid learning tip
Several lessons include an activity, “Work with a partner. Take turns creating your own number sentences and solving them.” This can be modified in three ways:
In a hybrid class, where students come in half of the days, have students leave the number sentences to be solved by the other half the following day. Of course, students can also do the activity with other students in their class that day.
If students are learning from home using Zoom or Google Meet, they can post their number sentences in the chat for other students to solve.
Students at home can include their number sentences in homework they return either in packets or electronically and receive number sentences submitted by other students returned in the same format (homework packets, email, etc.)
Lesson 1 – Multiplying by 0 or 1
Tell students that this week they are going to learn how to multiply numbers from 0 to 5. On Friday, they will be able to play games that use multiplication. They can watch the video below to see what’s coming up. It is deliberately a quick view to get students curious and motivated to get to the games coming up.
Teaching students at home and need to print out the slides?Click here for a PDF.
Lesson 2 – Multiplying by 2
Depending on your students’ progress and interest, you may want to hold off on this lesson for another day or jump right into it after lesson 1. Students learn the meaning of a number times two, or two times a number, both as regards to equal-size groups and number line jumps. Today’s lesson starts with a Google Slides presentation that shows how multiplication of 2 works. This is begun by talking about skip counting.
Teaching students at home and need to print out the slides?Click here for a PDF.
Lesson 3 – Multiplying by 3
Tell students that two more lessons and then, let the games begin! Here is another 30-second video to spark their interest.
It’s time for learning multiplication by 3s. After watching the video, here is another Google slides presentation. While each of these is somewhat similar, we find that can be attractive to students in that they feel it’s not too challenging, they are getting this multiplication idea. We do not recommend doing more than one of these lessons per day when students are first learning their multiplication tables. Practice 3 tables and then go on to another topic for the rest of the day.
Teaching students at home and need to print out the slides?Click here for a PDF.
Lesson 4 – Multiplying by 4
On lesson 4, we are mixing it up just a little. We introduce the idea that 4 x 5 = 5 x 4, so, really, you only have to learn half your multiplication tables. We also move past looking at just shapes and circles and look at multiplying fish, because, why not?
Teaching students at home and need to print out the slides?Click here for a PDF.
Lesson 5 : Multiplying by 5 and 10
Begin with reinforcing students on how much they have learned already. After today’s lesson you’ll be half-way to having learned your times tables for all the numbers from 0 to 100. Hurray! Let them know that at the end of today’s lesson they will be getting to play Making Camp. Also, today they will be learning TWO tables and a new trick. Start with this Google slide presentation.
After the presentation, students should play Making Camp for 15-30 minutes. If you would like stickers, pencils or other incentives to give your high scoring students, just email support@7generationgames.com and we’ll be happy to send you a teacher gift pack.
Teaching students at home and need to print out the slides?Click here for a PDF.
Assessment
Each lesson includes multiple assessment:
Students complete the multiplication tables – these can be shown with a projector (in class), on a screen, if teaching remotely, and on paper for students learning at home.
Students write their own number sentences using the multiplication learned each lesson.
Students complete the problems written by their classmates.
Optionally, students write word problems.
Optionally, student complete word problems written by their classmates.
In addition, at the end of lesson 5, students begin playing Making Camp, which has teacher reports showing the number of multiplication problems attempted and answered correctly.
State Standards
Minnesota State Standard 3.1.2.3 – Represent multiplication facts by using a variety of approaches, such as repeated addition, equal-sized groups, arrays, area models, equal jumps on a number line and skip counting. Represent division facts by using a variety of approaches, such as repeated subtraction, equal sharing and forming equal groups. Recognize the relationship between multiplication and division.
Minnesota State Standard 3.1.2.4 – Solve real-world and mathematical problems involving multiplication and division, including both “how many in each group” and “how many groups” division problems.
Minnesota Math Standard 3.2.2.2 – Use multiplication and division basic facts to represent a given problem situation using a number sentence. Use number sense and multiplication and division basic facts to find values for the unknowns that make the number sentences true.
