7학년과 8학년을 위한 예비 대수학 숙달 수학 번들: 4부 중 4부

A full year of rigorous, engaging, individualized mastery method middle school Pre-Algebra curriculum!  Because of the small class size (6 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!   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 fourth 8-week session, students will learn to classify numbers as either rational or irrational and place them on number lines. They will also learn to multiply polynomials both by stacking and using the FOIL method.  Our geometry component will focus on finding the volume of cylinders, pyramids and cones. We will also cover various forms of measurement and work on adding and subtracting across units. 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! (Scroll down for a week-by-week content breakdown)

This session is Part 4 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 integers (positive and negative numbers), fractions, decimals, and percents, and a thorough grasp of how to apply the four basic operations to each of these. Students should also have a basic understanding of solving for the unknown.

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 second 8-week session:

Week 1 (Lesson 24) : Geometry 1
Day 1: Volume of a Cylinder
Day 2: Review Topic: Points, lines, planes; Identifying and finding area/volume of 2D and 3D shapes

Week 2 (Lesson 25): Multiplying Polynomials
Day 1: Stacking and FOIL method
Day 2: Review Topics: Geometry: rays and angles

Week 3 (Lesson 26): Measurement 1
Day 1: Customary Measurement review; Adding/Subtracting Time
Day 2: Review Topics: Geometry: identify & classify angles

Week 4 (Lesson 27): Geometry 2
Day 1: Volume of Pyramid and Cone
Day 2: Review Topics: Statistics: Mean, Median, Mode, Range

Week 5 (Lesson 28): Probability 
Day 1: Probability of simple events and compound events
Day 2: Review Topics: Standard vs. Military time

Week 6 (Lesson 29): Measurement 2
Day 1: Mixed Customary Units; Adding/Subtracting Measurement 
Day 2: Review topics:  Metric Measurement review, larger metric prefixes

Week 7 (Lesson 30): Rational and Irrational Numbers
Day 1: Classifying, estimating, and ordering numbers
Day 2: Review topics: More Metric Measurement review, smaller metric prefixes

Week 8: Unit 4 Review
Day 1: Review Unit 4 topics
Day 2: Unit 4 Test and Review