Narrowing It Down: Interval Estimates for Multiplying Mixed Numbers
In this one-time class, learners will learn to estimate products of mixed numbers and apply their skills to word problems.
Avrila at Math With Avrila
Average rating:
4.9
Number of reviews:(10)
What's included
1 live meeting
45 mins in-class hoursClass Experience
Learners will find out about and use estimation methods for products of mixed numbers in the form of intervals, such as "the answer is between 15 and 24," and use this method to work mixed number application problems on topics like baking and gardening. The method will be represented visually, using rectangles, as well as in the form of a rounding-based algorithm. If learners are interested in exact answers, as class wraps up Avrila will demonstrate extending the rectangular representation method to give an exact answer. Learners need to already be proficient with whole number single-digit multiplication. Instant recall of all multiplication facts is not needed, but they're expected to be able to take a moment and figure it out. At parents' discretion, learners who struggle with multiplication facts can use a chart or calculator. These methods will also work with mixed numbers where a whole number part is multi-digit, such as 12 1/2 * 3 1/4, but we will stick with single-digit whole numbers in class so learners who are not ready to use multi-digit multiplication as a step can fully participate.
Learning Goals
Learners will become familiar with overestimates, underestimates, and interval estimates.
Learners will estimate products of mixed numbers using rectangles.
Learners will estimate products of mixed numbers using rounding.
Learners will use estimates for products of mixed numbers in application problems.
Learners who are interested will become familiar with exact methods for multiplying mixed numbers using rectangles.
Other Details
Parental Guidance
TeacherMade is a site designed for school use which allows learners to access worksheets, tutorials, and practice problems. If they wish, such as for added privacy, learners can sign in using a nickname or pseudonym.
Explain Everything is a shared whiteboard, similar to Google Jamboard but more flexible. Learners do not need an account and can access the board to write on it through a link. Learners who do not specifically want to write on the board don’t need to access Explain Everything at all – I will share the screen in Zoom and they can watch.
Supply List
Something to write on and something to write with. Graph paper would be handy for drawing rectangles on — printed out or made by drawing vertical lines onto lined notebook paper will be good enough. If you can't get graph paper, that's OK; just label your rectangles carefully. Parents can also let learners use any other tools they usually would use for multiplication, like a chart, calculator, or counters.
External Resources
In addition to the Outschool classroom, this class uses:
Joined May, 2021
4.9
10reviews
Teacher expertise and credentials
Master's Degree in Mathematics from Western Governors University
Hello mathematicians, puzzlers, and other curious people!
I'm a homeschool graduate, math professor, textile/sewing enthusiast, literary hobbyist, and general curious individual, here to share all of the above with the next generation. Math classes that are helpful and understandable, instead of just trying to figure it out for yourself from a book, are my main focus — I believe deep, confident understanding of math is for everybody.
I'm in US Central Time but flexible as to time zones. If you need a class offered at an international friendly time, just ask!
Want to start class already knowing a classmate? Or, do you just like getting deals? With my Bring-a-Friend discount, you can tell a friend to sign up and tell me who sent them, and you'll both get 25% off (processed manually through the refund system). You can bring more than one friend and get more than one discount — if you bring four friends, you get the class for free!
A few testimonials, in my students' own words:
I needed some help to knock out a 6 week Summer Business Calc class after not doing any math for over 20 years. Avrila worked with my schedule and demonstrated expert level knowledge of the subject matter in every lesson. Whether helping me construct equations from cryptic setups, develop test strategies, or just review the standard limit or calculus rules to complete problems, Avrila always knew what was required and gave me just enough information to figure things out for myself. I can not recommend her highly enough!
She explains things so well and walks you through topics step by step. She is extremely patient and super nice!
Avrila is awesome! She is extremely knowledgeable and flexible with my busy schedule. She explains these concepts in a super simple way making it much easier to understand. She helped me get through the majority of my semester, helping me improve my GPA more than I ever had hoped. I highly recommend her for any of your tutoring needs regarding stats.Reviews
Live One-Time Class
$10
per classMeets once
45 min
Completed by 1 learner
Live video meetings
Ages: 9-13
1-8 learners per class
