7 年級和 8 年級預代數掌握數學套裝：第 1 部分（共 4 部分）

* FREE enrollment in my Pre-Algebra FLEX course included! (weekly video lessons and activities) $120 value
**8-weeks of FREE access to IXL math included in price! $20 value
*** Discounts on my games classes and private tutoring!
A full year of rigorous, engaging, individualized mastery method middle school Pre-Algebra curriculum!  Because of the small class size (8 students maximum), individual attention and individualized instruction is guaranteed! For this class, I am bundling what I consider the best resources to ensure students reach mastery of Pre-Algebra concepts and continued math success! In addition to 2 live classes per week, students will have free access to my weekly video lessons and activities. I will post these videos each Sunday before the week of classes. This will allow students to preview the concepts we will be covering, so that more of class can be focused on problem solving and practice, creating a version of what is called a "Flipped Classroom".  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. For students needing more support, private tutoring sessions can be scheduled at 20% off my regular rate. For those wanting a fun way to practice what we're learning, discounts on my middle school math games class will also be available!

In this first 8-week session, students will gain a deep understanding of negative numbers and how to add, subtract, multiply, divide, and use exponents with integers. We will practice factoring numbers and solving for an unknown using both the additive and multiplicative inverse . These concepts and operations will be explored through visual slide presentations, interactive Nearpod and Desmos lessons, student practice, real world problem solving and fun activities and games! 

This session is Part 1 of a larger series titled, “Pre-Algebra Mastery Math for Grades 6-8 ”. Taken as a whole, this will offer a full year's worth of Pre-Algebra for the middle school student. This is a Mastery approach to math--each concept will be demonstrated, explained and practiced in a meaningful, in-depth way to achieve full understanding before moving on and connecting to the next topic. 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, the mastery method 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 (most typically 7th grade), but because the mastery method builds on previously internalized concepts and skills, 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. 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 first 8-week session:

Week 1: 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 2: Negative Numbers
Day 1: Guided, visual discovery of the concept of negative numbers (using number lines, money--owing vs. having, and temperature); Adding and subtracting negative and positive numbers 
Day 2: Practice adding and subtracting integers, review prime factorization

Week 3: More Negative Numbers
Day 1: Multiplying and Dividing with Integers 
Day 2: Exponents with Integers, Review adding/subtracting with Integers and Prime factorization

Week 4: Exponents, Roots and Radicals
Day 1: Understanding and Evaluating Exponents and variable exponents
Day 2: Finding and Estimating Square Roots, Review operations with Integers

Week 5: Solving 1 Step Equations Using the Additive Inverse
Day 1: Understanding Opposite Integers and Absolute Value
Day 2: Use Additive Inverse to Solve Equations through "Undoing"

Week 6: 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: 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: Write and Evaluate Variable Expressions
Day 1: Writing Variable Expressions with 1 Operation
Day 2: Writing Variable Expressions with 2 or more Operations