CCSS.ELA-LITERACY.W.3.1 Write opinion pieces on topics or texts, supporting a point of view with reasons.
CCSS.ELA-LITERACY.W.3.2 Write informative/explanatory texts to examine a topic and convey ideas and information clearly.
📃Summary
This English language arts and agriculture lesson consists of two short activities that teach students in Grades 3-4 about sheep using an online ebook and flashcards about domestic sheep. The lesson ends with a formative assessment writing activity consisting of either an informational writing prompt or an opinion one.
⏰Time Required
30 minutes
📲Technology Required
Access to computer or tablet for remote learning. Printing out cards for your students is best for this lesson.
📚Lesson
Activity 1: Use flash cards to learn vocabulary
The sheep flash cards below can be used to pre-teach the vocabulary found in the All About Sheep book for 8-10 minutes.
Click the link to access the ebook on Book Creator: All About Sheep.
Students may read the book on their own or alternatively, listen to it.
This can take 5-10 minutes.
Assessment
Have students complete a writing prompt about what they learned after reading All About Sheep. This can take about 10-15 minutes. You can choose from the following writing activities.
Opinion Writing Prompts
My favorite part of being a shepherd would be…
If I had wool, I would make…
If I could feed a sheep a snack, I would feed it…
2. Informational Writing Prompts
Reflect: Why are sheep important to us? What resources do they give us?
Reflect: Why do sheep need a shepherd?
Synthesize (Going beyond the text.): Why might it be important to put colorful markings on a ewe and her lamb?
3. Book Review
Write a book review about All About Sheep. Have students tell other young readers what the book was about. Have students include their own evaluation or interpretation about All About Sheep.
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.
A device with a web-browser – PC, Mac or Chromebook – or phone or tablet
📃SUMMARY
This lesson plan helps students recognize and understand idioms and what they are through different examples. Students will be able to understand the meaning of common idioms through an instructive video, idiom book activity, and Making Camp Premium gameplay.
📚Lesson Plan
1. VIDEO:Idioms
Start your lesson with this video that covers the meaning of idioms and understanding common idioms through different examples.
You can go about this in different ways. You can have students pick their favorite idioms. You can assign different idioms to different students. You can assign all students the same idiom. Or you can make it more like a game and random by having students draw out idioms.
Once students have their idioms, have them write the idiom and what it actually means (this reinforces the memorization of the idiom’s meaning). Then have kids draw pictures as to what the idiom suggests. Students can then share their drawings with the class and see what fun ensues as they share their drawing and explain their idiom.
3. GAME: Making Camp Premium
Have students play Making Camp Premium for 20 minutes. Students should focus on the WORDS section of Making Camp Premium and especially the idioms activity (the first box in the Words section) in order to reinforce the understanding of idioms. You can access Making Camp Premium on Mac, Windows, Chromebook, and iPad on the Games page of the Growing Math site.
Arizona (AZ), New Mexico (NM), North Dakota (ND), South Dakota (SD), Minnesota (MN) and Oregon (OR) have all adopted the English Language Arts standards covered in the Common Core Standards.
________________________
List of Idioms & Meaning
Idiom
Meaning
Cool as a cucumber.
To be calm and relaxed.
Going bananas!
To go crazy; to get very excited or angry.
It costs an arm and a leg.
To be very expensive.
Bite your tongue.
To not say something that you want to say.
On thin ice.
Being in a risky situation, usually one where you might upset someone.
10 Minutes 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.
📲Technology Required
Device with web-browser – Chromebook, laptop or desktop computer, phone or tablet
📃Summary
Ojibwe History Integrated with Math + History = Making Camp
That’s Making Camp in a nutshell, um, equation. If your students are like most people, you’re having a hard time getting them to focus. That’s why we’ve created short lessons for you. Each of these only takes about 10 minutes, teaches Ojibwe (Native American) history , multiplication or division. You can do these at the beginning or end of class as a warm-up, as an assignment for those students who finish early.
As the game introduction says …. let’s get started on Making Camp.
📚Lesson Plan
1. Download or follow the link to get started on Making Camp!
The game can be downloaded for any Apple or Android phone or tablet. It can also be played online. The links you need will be in the game pages for your device. You will have received the password to access this page in the training you attended. To access the games for your device, click the appropriate link below. These pages are password protected, but the password you received will work on all three pages.
If you have forgotten your password, email growingmath@7generationgames.com, let us know the name of your school and mention in the email you forgot your password.
2. Students will need a username and password
We strongly recommend you assign the username and password rather than having students assign their own.
Watch the two introductory videos that explain about the Ojibwe migration and how to play the game. This will bring you to the choice screen.
Click on the NUMBERS option which will bring up the screen below.
MATCHING MULTIPLICATION
Click on the top left box (with cards) to play a memory game, matching multiplication problems with their answers.
The Multiplication 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 by answering multiplication 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.
Minnesota Math Standard 4.1.1.1 – Demonstrate fluency with multiplication and division facts.
The lesson above has a companion lesson for English Learners. Making Camp – 10 minute history (Bilingual English & Spanish) is the same lesson from above but provides the resources in English and Spanish, featuring Making Camp Bilingual.
Minnesota State Standard – History Sub-strand 4, Standard 15 “North America was populated by indigenous nations that had developed a wide range of social structures, political systems, and economic activities, and whose expansive trade networks extended across the continent.”
⏰Time
10 Minutes
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.
📲Technology Required
Device with web-browser – Chromebook, laptop or desktop computer, phone or tablet
📃Summary
Today we are focused on the Ojibwe history part of Making Camp. As one of our very favorite middle school history teachers said,
History is more than names and dates. It’s how people lived, the things they used.
– Jose Gonzalez, Social Studies Teacher, Gompers Middle School, Los Angeles
Students will watch two brief videos, one on building a wigwam and one on trading between tribes. They then trade in the points they have earned for items for their wigwam. Clicking on each item gives information on how that item was used by the Ojibwe. If you did the previous ten-minute lesson, your students already have points. If not, they’ll need to earn some by playing Making Camp mini-games (just click on anyone of the choices on the main screen).
📚Lesson Plan
1. Click on the wigwam icon to watch two videos
If you have been following along in order, the player now has enough points to get a wigwam and at least two items to supply their wigwam.
NOTE: If the player does not have at least 1 point to trade, the wigwam video will not play and instead, he/she will be told that at least one point is needed to trade for a wigwam.
If the player does not have at least 3 points to trade (1 for the wigwam, plus two more) after the wigwam building video, h/she will be told that at least two points are needed for trading.
The first time a player clicks on the wigwam icon the on the bottom left of the screen it will play a video on how a wigwam was built. This will be followed by a second video that briefly discusses that trading existed between and within tribes long before the settlers came. The player then has an option to trade points for items for the wigwam.
2. Click on the inside of the wigwam image in the bottom right corner to bring the player to the wigwam where items purchased can be moved to decorate or interact.
Clicking on an item will bring 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, the dog walks across the wigwam.
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.
CCSS.ELA-LITERACY.W.4.3 Write narratives to develop real or imagined experiences or events using effective technique, descriptive details, and clear event sequences.
⏰ Time
40-45 minutes
📲 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. Schools that are part of the Growing Math project or who have a 7 Generation Games site license have access to the game for students to use at home or school.
📃 Summary
This is a fun lesson where students practice division, combined with Ojibwe history and then complete a creative writing assignment.
📚 Lesson Plan
1. Game Play with Making Camp
Open Making Camp. Go to the main choices screen by clicking on the small green icon with boxes at the lower left of the screen.
Click NUMBERS.
Click the box with the numbers to practice division.
Students should play until they earn at least 15 points.
2. Spend the points earned and learn about Ojibwe history
One of the best teachers we know said, “History is more than names and dates. It’s how people lived. It’s the things they used.” When trading for a wigwam, students will watch videos on how to build a wigwam and on trading. They’ll learn that tribes traded with one another for hundreds of years.
3. Short story writing prompt
So how did we get from a refrigerator to a wigwam? You can use this Google slides presentation to tie in Native American history with Sam’s life in the twenty-first century. This presentation can also be added to your Google classroom as an assignment for students. Here is the introduction for Sam and his account:
This is Sam. He’s also Ojibwe but he’s not from a long time ago. He’s 16 years old. He lives on a reservation in the northern United States. You’ve probably heard of it. He doesn’t live in a wigwam. He lives in a white house with a grey roof. That’s the refrigerator in his house. The magnets have been there ever since he was in second grade.
4. Writing assignment
Read about Sam and write a story about him. What do you think happened to him in second grade? Why does everyone except for his cousin, Angie, think he’s not smart? Do you think he and Angie can really walk to Maine?
Assessment
Math problems in Making Camp Premium are scored automatically. You can see how many students attempted and the number correct in the data reports. All Growing Math teachers and all schools with 7 Generation Game licenses receive access to these reports. Writing assignments can be assessed according to the teacher’s own rubric.
State Standards
Minnesota Math Standard 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.
Minnesota Math Standard 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.
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.)
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.
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.4.NF.B.3.A Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
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 explore how students can add fractions with like denominators to determine the sum of fractions. It incorporates two instructional videos, an editable presentation and educational game that can be used to practice/reinforce the concept with assessment data.
📲 Technology Required
The teacher (or student, if learning at home) will need a computer, phone or tablet with an Internet connection to play the video. For students at home without Internet access, the teacher can print out the attached PDF or PowerPoint for students to study. The game required plays on Windows or Mac computers and on iPad. A Chromebook version will be available by April.
📚 Lesson Plan
1. VIDEO:Adding Like Fractions
Start your lesson with this one-minute video on adding fractions with like denominators.
Alternate format : POWERPOINT:Adding Fractions with Like Denominators
This presentation provides the information in the video viewed at the beginning of the lesson as a PowerPoint or PDF.
Have students play Fish Lake for 30 minutes. This lesson is most effective when introduced towards the beginning of Fish Lake gameplay since the math ties into the math in Level 3. Students who master this standard will be able to advance within the game. Students who have trouble with this standard will receive individual instruction within the game to teach and reinforce this concept.
3. Reinforce with another video
This two-minute video gives examples of how fractions with like denominators can be used to see if everyone is doing their fair share of the work or eating a fair share of the pizza.
You can view your students’ progress on mastering these standards by viewing your Fish Lake Teacher Reports. You can access the Fish Lake reports here.
STATE STANDARDS
Arizona (AZ), New Mexico (NM), North Dakota (ND), South Dakota (SD), and Oregon (OR) have all adopted the math standards covered in the Common Core Standards.
Minnesota (MN) Math Standard
4. Number and Operation
Represent and compare fractions and decimals in real-world and mathematical situations; use place value to understand how decimals represent quantities.4.1.2.3 – Use fraction models to add and subtract fractions with like denominators in real-world and mathematical situations. Develop a rule for addition and subtraction of fractions with like denominators.
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.
⏰ LESSON TIME
30 minutes
📃 SUMMARY
This lesson plan introduces the concepts and vocabulary of division and provides students the opportunities to practice both recognition and recall of division facts. Math literacy activities are recommended to help students remember and understand math terms. Students can play the Making Camp Premium game, with division with one-digit divisors or Making Camp Lakota which includes one- and two-digit divisors.
📲 Technology required
The games, Making Camp Premium and Making Camp Lakota can be played on any web browser – Chrome, Firefox, Bing, etc or downloaded on iOS or Android devices. The Making Camp Premium game can be played with or without an Internet connection. Internet is required to log in to the Making Camp Lakota game with username and password. Both games are available at no extra charge to schools with a 7 Generation Games site license or who are part of the Growing Math Project.
📚 Lesson Plan
1. Introductory mini-lecture
5-7 minutes
Explain why division is important. When we want to share something, whether it is the hours spent doing chores or a birthday cake, we divide it.
Tell students they will be taking notes on the videos, writing down key words that appear in the video (e.g. quotient, dividend) and their definitions for review at the end of the session. (Math literacy helps with identifying math terms; textbooks will start to make sense.)
2. Watch Videos
7 minutes
Division Terms
The Division terms video is included in Making Camp Lakota, a game teaching division and Lakota history. It is also in the Making Camp Premium game. Before starting the video remind students to be ready to take notes.
Division (Multiplication in Reverse)
3. Game Play
15 minutes
Play Making Camp Premium for multiplication and division.
Making Camp Premium can be played online on any computer (Windows, Mac, Chrome), or you can download it for your phone or tablet (iOS and Android). This game is part of the 7 Generation Games school license and also available as part of the Growing Math project.
The division magnets game practices division of one-digit numbers into two digit numbers, like 35 ÷ 5.
There are also games for multiplication and a lot of videos and games on history and English/ language arts. Making Camp Premium also teaches about Ojibwe history and culture.
For more division, play Making Camp Lakota.
In mathematics content, Making Camp Lakota focuses only on division, combined with, of course, Lakota history and culture. With development funded by the Thunder Valley Community Development Corp. this game is free to play on the web or downloadable for iPad or Android tablets.
ASSESSMENT
This lesson plan includes two types of assessment.
2. To assess student understanding of math vocabulary, review their notes written while viewing the division terms video.
Related Content
We have a YouTube division playlist! The videos above are part of a five-video series clues students in on everything from dividends to long division with remainders. (And they are short, ranging from one and a half to three and a half minutes each.) These videos can be played on any device in class or at home.
State Standards
Minnesota Math Standard 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.
Minnesota Math Standard 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.
This lesson plan will explore how students can take what they already know about adding fractions with like denominators in order to grasp multiplying fractions with like denominators. It incorporates an instructional video, an editable presentation and an educational game that can be used to practice/reinforce the concept with assessment data.
📲 Technology required
The game Fish Lake can be played on iPad, Mac or Windows computers. Internet is required to log in to the game with username and password. If Internet access drops, students can continue playing and their progress will be saved on the device and uploaded to the server whenever access is available. Fish Lake is available free to schools participating in the Growing Math project.
📚 Lesson Plan
1. VIDEO:Adding and Multiplying Fractions with Like Denominators
Start your lesson with this video on adding and multiplying fractions with like denominators.
This three-minute video begins with adding fractions with a common denominator. It explains that denominator is more than the number on the bottom, it is the number of parts the whole is divided into. Multiplying fractions with like denominators is shown, with examples, to be the same thing as adding the fraction multiple times.
Have students play Fish Lake for 30 minutes. This game can be played on Mac, Windows and iPad. You can find the link on our games page. This lesson is most effective when introduced towards the beginning of Fish Lake gameplay since the math ties into the math in Level 3. Students who master this standard will be able to advance within the game. Students who have trouble with this standard will receive individual instruction within the game to teach and reinforce this concept.
Arizona (AZ), New Mexico (NM), North Dakota (ND), South Dakota (SD), and Oregon (OR) have all adopted the math standards covered in the Common Core Standards.
Minnesota (MN) Math Standard
6. Number & Operation
Multiply and divide decimals, fractions and mixed numbers; solve real-world and mathematical problems using arithmetic with positive rational numbers.
6.1.3.1 – Multiply and divide decimals and fractions, using efficient and generalizable procedures, including standard algorithms.