Pre-Algebra: Addition of Negative Numbers Using Hands-On Models
Hands-on models make it easy to add positive and negative numbers including integers, fractions, decimals and polynomials.
Barbara Alldredge
Average rating:
4.8
Number of reviews:(52)
What's included
Class Experience
This 6 week FLEX course is the first course in a two part series introducing the addition of negative numbers. Students will use hands-on models to solve addition problems involving integers, rational numbers (fractions and decimals) and polynomials. No regrouping (borrowing, trading, reducing) is taught in this course. In FLEX courses, there are no live online classes with the instructor. Students can watch the pre-recorded videos and complete the assigned activities at any time during the week. New multi-sensory activities will be presented weekly. Each lesson builds on the previous lesson. Each lesson is split into multiple short video demonstrations interspersed with hands-on activities to allow students time to practice and apply the skills taught. For each lesson, students will solve the given problems by using hands-on manipulatives (specified in the supply list). Students then record their answers in a traditional numerical format. The instructor will monitor student progress through the use of online quizzes (posted in the Outschool classroom each week) and student responses to the weekly “Make a Pair” game. The “Make a Pair” game is a collaborative activity where a student presents two numbers (whole numbers, integers, fractions or decimals depending on the week) and fellow students respond with either a single number or a group of two different numbers that all together would sum to zero. By design, there is more than one correct solution to each problem and students are encouraged to submit multiple responses during each session. WEEK 1 *Introduction to Negative Numbers *Modeling Integers WEEK 2 *Representing Addition as the Combining of Groups *Modeling Addition of Integers WEEK 3 *Review of Addition of Whole Numbers Greater Than 10 *Modeling Addition of Integers Greater Than 10 and Less Than -10 WEEK 4 *Review of Fractions: Representing Fractions as a Smaller Part of a Larger Whole *Modeling Addition of Fractions with Common Denominators WEEK 5 *Review of Decimals: Modeling Decimals *Addition of Decimals *Introduction to Polynomials WEEK 6 *Addition of Polynomials *Reviewing Addition
Learning Goals
In this course, students will:
*Understand that positive and negative numbers are used to describe quantities having opposite directions or values.
*Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line.
*Show that a number and its opposite are additive inverses.
*Model addition of positive and negative rational numbers using hands-on or virtual maniuplatives.
*Demonstrate the addition of positive and negative rational numbers.
*Explain that the opposite of the opposite of a number is the number itself.
Other Details
Supply List
Students are expected to have access to the manipulatives listed below. Students can print their own manipulatives from the teacher provided handouts or may purchase the physical items from online vendors. Several of the manipulatives are available virtually, as indicated below. *Double Sided Counters (Also available as virtual manipulatives) *Base Ten Blocks (Also available as virtual manipulatives) *Fraction Circles *Coins: Pennies and Dimes or other decimalized coins with which the student is familiar such as centavos/10 centavos or pence/10 pence *Algebra Tiles (Available as virtual manipulatives)
External Resources
In addition to the Outschool classroom, this class uses:
Joined April, 2020
4.8
52reviews
Teacher expertise and credentials
I teach math. And other stuff. But mostly math.
I have a Professional Educator license for the state of Utah and a Level 4 Math Endorsement. That’s a fancy way to explain that I took a LOT of math in college. I’m qualified to teach a variety of dance styles and I’m a certified yoga teacher. Among other subjects, I have experience teaching history, geography, biology, creative writing,engineering, literature, music, physics, visual art, and as I might have previously mentioned: math.
I try to weave STEM connections into every subject I teach. Engineering and dance? Absolutely! Science and art? You bet! Math and literature? Of course!
When I’m not teaching, I like to sing or dance. I also code and program. I sew, bake, craft. I rollerblade. I paint. I dabble in photography. Sometimes, when I have spare time, I solve logic puzzles. I also like to stay up late reading books. Occasionally, I even do calculus problems for fun. I LOVE math. Give me a chance and I’ll show you just how awesome math is!
What else? I play the piano, ukulele, recorder, violin and organ. I’ve tried the guitar and just started learning the harmonium. I’m rubbish at the conch shell but I could probably improve if I spent the time to practice. Most hard things in life are like that. Practice and persistence are all it takes.
It might be difficult to believe but math has never been easy for me. Even after all these years, I find it challenging. I still get problems wrong all the time. But it’s OK to mess up. Scientists and mathematicians and dancers and artists-- they fail all the time.Taking risks is an important part of life. My classes are a safe place for you to experiment, to stumble and to try again-- over and over until you succeed. And I’ll be right there with you, cheering you on.Reviews
Live Group Class
$12
weekly6 weeks
Completed by 2 learners
No live video meetings
Ages: 10-14
