Pre-Algebra: LIVE Full Year Math Course (Ongoing)
What's included
2 live meetings
1 hrs 50 mins in-class hours per weekHomework
2-4 hours per week. Homework will be assigned through Nearpod lessons, practice on IXL and in the optional workbook. It should total around 2-3 hours per week.Assessment
There will be ongoing informal assessment, as well as optional weekly lesson tests and Unit assessments. Parents, please contact me about the level of assessment and feedback you prefer for your student.Class Experience
US Grade 6 - 8
*Perfect for homeschooled students wanting a full curriculum Pre-Algebra course or students needing review or extra help on specific topics (Students can join class starting any week!) **FREE access to IXL math included in weekly price for as long as student is enrolled (IXL is the world's most popular subscription-based learning site for K–12 and offers unlimited math practice problems with meaningful, up-to-date tracking on your child's progress.) ***For students wanting the full year, full curriculum experience, please contact me about the recommended homework workbook, as well as discounts on my accompanying FLEX course! This class is a great option for those just getting started with Pre-Algebra, or to use as a review of key topics to prepare for Algebra 1 including: understanding and working with integers; solving for an unknown using additive and multiplicative inverse; order of operations; associative, commutative, and distributive properties; least common multiple and greatest common factor; ratios and proportions, adding and multiplying polynomials, rational vs. irrational numbers; as well as some Geometry topics including angles, triangles, surface area and volume. (Please see full list of topics and dates below). The ongoing format of this class means that each week's topic and material can stand alone, so that students may join the class anytime throughout the year. I designed this course to provide a full-year Pre-Algebra math curriculum for homeschoolers, but it is also a great option for 7th, 8th, or 9th graders attending traditional school who need a little extra support in math. Additionally, if you are new to homeschooling, it's a great way to make sure you've got math solidly covered (I've found math to be the trickiest subject to try to teach your own child!!) without a big commitment in terms of time or money! Taken as a whole, this course will offer a full year's worth of Pre-Algebra for the middle school student. Each concept will be demonstrated, explained and practiced in a meaningful, in-depth, and engaging way to achieve full understanding. This approach is ideal both for students who love math and want to take a deep dive into each concept, as well as anxious math learners who get easily overwhelmed by jumping quickly between concepts and prefer to take their time to fully learn and understand each concept. In both cases, my approach can build confidence, create a positive math identity and set students on a trajectory of math success. Because of the small size of this class, I will be able to give each student the individual attention needed to ensure mastery. This course is geared towards the middle school student but specific age or assigned grade level is not as important as the prerequisite foundations of mathematical understanding. **Specifically for this class, students should come with a solid number sense for whole numbers, fractions, decimals, and percents, and a thorough grasp of how to apply the four basic operations to each of these. I want my students to feel fully engaged in the learning process--to find meaning, confidence (and yes, even joy!) in mathematical problem solving. To make math fun and engaging, I will be presenting lessons through interactive slides, which will include clear visual representations, virtual manipulatives, and connections to math in the real world. Additionally, I will be using applications such as Nearpod (nearpod.com) and Desmos (desmos.com) to create further opportunities for students to engage with the material and with one another. Activities will include collaborative idea boards, typed or drawn responses, polls, matching games, quizzes, graphing activities, and embedded games. For extra practice and building concept and skill mastery, students will have FREE access to IXL math--a great tool that gives instant feedback on individual progress, and can also be used in the class "Jam" setting to provide peer and teacher support. These activities provide not only engagement and fun for students, but also give me as the teacher the opportunity for ongoing, informal assessment. Week-by-Week content for this Pre-Algebra Math course: Week 1 (September 5th & 7th): Negative Numbers/ Integers/Absolute Value Day 1: Concept of negative numbers (using number lines, money--owing vs. having, and temperature); Adding and subtracting Integers Day 2: Practice adding and subtracting Integers Week 2 (September 12th & 14th): More Work with Integers Day 1: Multiplying and Dividing with Integers Day 2: Exponents with Integers Week 3 (September 19th & 21st): Number Theory 1 ( Prime/Composite and Prime Factorization) Day 1: What are prime numbers? Using Divisibility Rules to determine factors Day 2: Prime Factorization (Factor tree/roots method) Week 4 (September 26th and 28th): Exponents, Roots and Radicals Day 1: Understanding and Evaluating Exponents and variable exponents Day 2: Finding and Estimating Square Roots Week 5 (October 3rd and 5th): Exponential Form and Scientific Notation Day 1: Using money to show expanded and exponential form, intro to scientific notation Day 2: Review adding and subtracting fractions Week 6 (October 10th and 12th): Number Theory 2: Finding Greatest Common Factors Day 1: Method 1: Listing Factors to Find the Greatest Common Factor Day 2: Method 2: Using Prime Factorization to find the Greatest Common Factor Week 7 (October 17th and 19th): Solving 1 Step Equations Using the Multiplicative Inverse Day 1: Understanding the Multiplicative Inverse as Reciprocals and Division Day 2: Using Multiplicative Inverse to Solve Equations through "Undoing" Week 8 (October 24th and 26th): Write and Evaluate Variable Expressions Day 1: Writing Variable Expressions with 1 Operation Day 2: Writing Variable Expressions with 2 or more Operations Week 9 (October 31st and November 2nd): Solving for an Unknown using the Additive Inverse Day 1: Variable expressions, Balancing equations, solving by "undoing" Day 2: Review Topic: reciprocals (multiplying and dividing fractions) Week 10 (November 7th & 9th): Angles and Triangles Day 1: Classifying angles and triangles, measuring angles, finding missing angles Day 2: Review Topics: variable expressions, solving for unknowns, prime factorization Week 11 (November 14th & 16th): More Triangles: Pythagorean Theory Day 1: Using the Pythagorean Theory to find the length of a missing side Day 2: Review Topics: Dividing fractions, fraction word problems *No Class on November 21st/23rd Week 12 (November 28th & 30th): Associative and Commutative Properties Day 1: Combining Like terms and simplifying expressions using associative and commutative properties Day 2: Review Topics: Mixed Numbers and Improper fractions Week 13 (December 5th & 7th): Distributive Property Day 1: Rewrite and solve expressions using distributive property Day 2: Review Topics: Finding common factors, fractions on a ruler, simplifying fractions Week 14 (December 12 & 14th): Solving for an Unknown using the Multiplicative inverse & Order of Operations Day 1: Solve 2-step equations by combining like terms and "undoing" using both additive and multiplicative inverse Day 2: Review topics: Adding & Subtracting mixed numbers *No class December 19th & 21st, 26th & 28th, and January 2nd and 4th (Optional graded test sent as homework over break) Week 15 (January 9th & 11th): Geometry: Solids Day 1: Identify solids, their nets, and features Day 2: Review multiplying mixed numbers Week 16 (January 16th & 18th): Geometry: Solids 2 Day 1: Calculate surface area of prisms and pyramids Day 2: Review multiplying mixed numbers Week 17 (January 23rd & 25th): Formulas and Equations Day 1: Convert between Fahrenheit & Celcius Day 2: Review Topic: Multiplying decimals Week 18 (January 30th & February 1st): Absolute Value Day 1: Solving expressions with absolute value Day 2: Review Topics: Dividing decimals Week 19 (February 6th & 8th): Ratio and Proportion Day 1: Solving for the unknown in proportions Day 2: Review Topics: More dividing decimals Revised: Class cancelled week February 13th and 15th) Week 20 (February 20th & 22nd): Geometry: Similar Polygons Day 1: Writing proportions for similar polygons and solving for unknown side Day 2: Review Topics: Converting decimals and fractions Week 21 (February 27th & 29th) : Least Common Multiple Day 1: Find the prime factors and LCMs of numbers Day 2: Review Topics: Percentages, fractions, decimals Week 22 (March 5th & 7th): Greatest Common Factor Day 1: Find the prime factors and GCFs of numbers Day 2: Review topics: Percents of a number Week 23 (March 12th & 14th) : Adding Polynomials Day 1: Explore polynomials with models, add polynomials Day 2: Review topics: Word Problems Week 24 (March 19th & 21st): Geometry: Volume of a Cylinder Day 1: Calculate Volume of a Cylinder Day 2: Review Topic: Points, lines, planes; Identifying and finding area/volume of 2D and 3D shapes Week 25 (March 26th & 28th): Multiplying Polynomials Day 1: Stacking and FOIL method Day 2: Review Topics: Geometry: rays and angles Week 26 (April 2nd & 4th): Measurement 1 Day 1: Customary Measurement review; Adding/Subtracting Time Day 2: Review Topics: Geometry: identify & classify angles Week 27 (April 9th & 11th): Geometry Day 1: Volume of Pyramid and Cone Day 2: Review Topics: Geometry: Identify & Classify Quadrilaterals and other Polygons * No class April 16th & 18th Week 28 (April 23rd & 25th): Statistics 1: Day 1: Mean, Median, Mode, Range Day 2: Box plots and Outliers Week 29 (April 30th & May 2nd): Statistics 2: Day 1: 2 Variable Statistics on graphs Day 2: Identify representative, random, and biased samples Week 30 (May 7th & 9th): Probability 1 Day 1: Probability of simple events and compound events Day 2: Review Topics: Standard vs. Military time Week 31 (May 14th & 16th) : Probability 2 Day 1: Probability of simple events and compound events Day 2: Review Topics: Standard vs. Military time Week 32 (May 21st & 23rd): Measurement 2 Day 1: Mixed Customary Units; Adding/Subtracting Measurement Day 2: Review topics: Metric Measurement review, larger metric prefixes Week 33 (May 28th & 30th): Rational and Irrational Numbers Day 1: Classifying, estimating, and ordering numbers Day 2: Review topics: More Metric Measurement review, smaller metric prefixes Week 34 (June 4th & 6th): Review (optional test sent as homework) Day 1: Review/student choice Day 2: Final Test and Review
Learning Goals
(see above description)
Other Details
Parental Guidance
We will be using the third-party websites listed below that provide interactive, fun opportunities for building mastery and fluency of math concepts and skills:
Desmos: An online graphing calculator and so much more! Fun activities that we can work on together as a class that really make math concepts come alive! I will post a direct link in the Zoom chat that will take students directly into the lesson, they only need to enter their first name or nickname so that I know who is who within the lesson. * No account or personal information needed.
Nearpod: Educational, interactive tool for presenting my own slide-show lessons and activities (such as matching, drag-and-drop, etc.) I will post a direct link in the Zoom chat that will take students directly into the lesson, they only need to enter their first name or nickname so that I know who is who within the lesson. * No account or personal information needed.
Google Jamboard: A great interactive tool for collaborative learning and sharing ideas. I will send a direct link in the Zoom chat that will allow students to enter directly into the specific Jamboard without any kind of sign-up * No account or personal information needed
Blooket & Gimkit: Students love playing these fun, fast-paced games with math question banks that I am able to create and tailor to the needs of the class. The report I see after each game serves as a great informal assessment. I will post a direct link in the Zoom chat, students will simply enter their first name of nickname and begin playing the game. *No account or personal information needed
Google Slides: I will usually use Google Slides to present lessons through the screen share function, but may at times give students a direct link for activities or games that I have created. *No account or personal information needed
IXL: A comprehensive math skill practice website. I will provide students with individual login information (user name and password), so no separate student or parent account is needed and no personal information is shared
Supply List
-Notebook and pencil for taking notes and working problems -White board and dry-erase marker (Optional) -I will post further optional materials or workbooks in the classroom after enrollment (cost of extra materials will not exceed $50 for the entire year)
External Resources
In addition to the Outschool classroom, this class uses:
Reviews
Live Group Class
$36
weekly ($18 per class)2x per week
55 min
Completed by 12 learners
Live video meetings
Ages: 11-14
3-8 learners per class