Fundamentos de matemáticas de octavo grado: preálgebra (clase de ocho semanas con plan de estudios completo)

SUMMARY: This 8-Week Multi-Day class includes concepts from a full year of 8th-grade math complete with guided practice during class, and worksheets for independent practice. This is perfect for 8th-Grade Learners who want to review before entering the 9th-Grade; 7th-Grade learners who want a sneak peek of 8th-Grade Math; and homeschool learners who want to cross 8th-Grade Math off their checklist.

LESSONS: This class is designed to cover 8 concepts. Together we work through three topics a class. Learners help me interact with the math labs while answering guided questions using a variety of methods (Zoom's Chat Feature and Verbally). After each class, a short worksheet is assigned for independent practice.

SCHEDULE: There are a maximum of 3 lessons a week, covering an average of 2-3 topics per lesson. The following is a detailed schedule of the class.

Week 1: Unit 1 - Congruence and Similarity

Monday: Lesson 1
Topic 1.1  Introduction to Rigid Motions
Topic 1.2  Defining Congruence
Topic 1.3  Translations on the Coordinate Plane

Tuesday: Lesson 2
Topic 1.4  Angles and Parallel Lines
Topic 1.5  Angles & Triangles
Topic 1.6  Properties of Dilations

Wednesday: Lesson 3
Topic 1.7  Defining Similarity
Review 

Week 2: Unit 2 - Linear Equations and Linear Relationships

Monday: Lesson 4
Topic 2.1  Writing Equations with Variables
Topic 2.2  Linear Equations With Variables on Both Sides

Tuesday: Lesson 5
Topic 2.3  Graphing Proportional Relationships
Topic 2.4  Defining Slope 

Wednesday: 
Review 
Last Day to Turn in Unit 1 Assignments 

Week 3: Unit 3 - Systems of Equations

Monday: Lesson 6
Topic 3.1  Understanding Systems of Linear Equations
Topic 3.2  Solving Systems of Equations by Graphing

Tuesday: Lesson 7
Topic 3.3  Solving Systems of Equations Using Substitution
Topic 3.4  Solving Systems of Equations Using Elimination

Wednesday: 
Review 
Last Day to Turn in Unit 2 Assignments 

Week 4: Unit 4 - Patterns and Associations in Data & Unit 5 - Functions 

Monday: Lesson 8
Topic 4.1  Representing Data in Scatter Plots
Topic 4.2  Linear Patterns in Scatter Plots
Topic 4.3  Fitting a Line to Data

Tuesday: Lesson 9
Topic 5.1  Introduction to Functions
Topic 5.2  Domain and Range

Wednesday: Lesson 10
Topic 5.3  Interpreting Graphs of Functions
Topic 5.4  Different Representations of Functions
 

Week 5: Unit 6 - Volume & Unit 7 - Integer Exponents and Scientific Notation

Monday: Lesson 11
Topic 6.1  Volume of Cylinders
Topic 6.2  Volume of Cones
Topic 6.3  Volume of Spheres

Tuesday: Lesson 12
Topic 7.1  The Power of 0 and Negative Exponents
Topic 7.2  Comparing Numbers in Scientific Notation & Choosing Reasonable Units

Wednesday: 
Review 
Last Day to Turn in Units 4 & 5 Assignments 

Week 7: Unit 8 - Irrational Numbers and the Pythagorean Theorem

Monday: Lesson 13
Topic 8.1  Understanding Perfect Squares and Perfect Cubes
Topic 8.2  Introduction to Square Roots and Cube Roots
Topic 8.3  Introduction to Irrational Numbers

Tuesday: Lesson 14
Topic 8.4  Introduction to The Pythagorean Theorem
Topic 8.5  Proofs of the Pythagorean Theorem

Wednesday: 
Review
Last Day to Turn in Units 6 & 7 Assignments 

Week 8: Review 

Monday: 
Review Units 1-3

Tuesday:
Review Units 4-6

Wednesday:
Review Units 7-8
Last Day to Turn in Unit 8 Assignments