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Introduction to Grade 8 Math

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Answer Key to Lesson 2 Part 1 worksheet

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**Overview**

This math video course extensively covers the grade 8 math curriculums, yet is unique because it activates curiosity through questioning, real-life problems and opportunities for students to connect to interesting math situations and to make sense of math from its foundation that will help in upper-level math courses, too. These math situations and activities are rooted in the foundations of algebra, number sense, geometry and data analysis, and developed in a challenging way to spark creative thinking about the relationships of these math foundations through a deeper understanding. The depth of understanding grows as students reflect, evaluate and analyze. Math concepts and skills cover exponents, scientific notation, roots, real numbers, Pythagorean Theorem, transformation, similarity, line and angle relationships, functions and bivariate data.

**Course Goals**

Upon completion of this course, students will have a solid understanding of the relationship between tables, equations and graphs, and know how real-life situations use these concepts. Equations include linear and nonlinear equations and many functions are explored.

Students will use real numbers, and include the use of rational and irrational numbers. Students learn the practicality of scientific notation and the Pythagorean Theorem.

Students will be able to compare transformation of figures to dilation of figures and as a result, explain congruency and similarity of figures. Students extend their use of geometry by Rigid Motion Transformation, Similarity, Line and Angle Relationships, area and volume, with many investigations into real-life examples.

Real-life situations extend into solving equations by understanding the meaning of slope and y-intercept in context of a problem situation. Other graphical analyses will be explored with various situations and contexts to deepen the relationship between the independent variable and the dependent variable. The context of linear equations deepens with systems of equations because students will be able to explain situations such as a break-even point, and how it can be solved graphically and algebraically. Furthermore, students will be able to compare and contrast equations and classify these, such as linear and quadratic. Students will be able to analyze parameters of functions and requirements that identify graphs as functions.

Bivariate data analysis help students to extend their understanding of the independent and dependent variables to determine whether relationships between these variables exist. Trend analysis helps a beginning understanding of correlation between these two variables.

**Target Audience**

This course is targeted to middle school students and is useful to high school students who need reinforcement in foundational concepts and skills in algebra and functions, geometry, and data analysis.

**Course Requirements**

Students taking this course should have basic math skills related to arithmetic operations such as those with whole numbers.

**Course includes a minimum of the following:**

- 30 video lecture lessons with spiral reviews and step-by-step example problems embedded in the lessons
- 30+ quizzes, with multiple choice questions included
- 30+ practice worksheets with helpful notes embedded
- 30 videos showing how to solve worksheet problems step-by-step
- Over 200 practice problems

**Course Topics**

- Solving problems with exponents
- Solving problems with scientific notation
- Using real numbers: Rational and irrational numbers (Including Squares and Roots)
- Using the Pythagorean Theorem
- Analyzing rigid motion transformations
- Analyzing similarity and dilation of figures
- Analyzing line and angle relationships
- Using tables, graphs and linear equations
- Using slope
- Using Slope-Intercept Form to graph a line
- Analyzing and solving equations
- Analyzing sequences and patterns to learn about functions
- Defining and using functions
- Defining graphs and analyzing linear versus nonlinear functions
- Analyzing scatter plots and bivariate data
- How to draw a line of best fit
- Analyzing lines of best fit and making predictions
- Using data, slope, y-intercept and frequency
- Analyzing graphs and solving systems of equations
- Use equation analysis and substitution for systems of equations
- How to choose a method to solve systems of equations
- Using area and circumference
- Using surface area and volume
- Using circles and prisms with surface area and volume
- Using surface area and volume in real-life situations

- Teacher: Christine
- Areas of expertise: Math
- Education: MS; Dominican University Teacher Credentials
- Interests: Using 3-D printing and art to make math fun
- Skills: Fluent in French & Spanish; Spanish and Math credentials
- Associations: Society for Technical Communication; American Medical Writers Association
- Issues I care about:

Over 10 years teaching experience in CA public schools in Math and Spanish; 2 decades of scientific work experience in biotechnology and food industry; and with zeal for teaching diverse learners originate from living and traveling overseas, using Spanish, French and English languages through universities and language schools. Simply put: experience enlivens education, especially, math!

Exponents Part 1

Exponents Part 2

Exponents Review

Scientific Notation Part 1

Scientific Notation Part 2

Using Roots and Square Roots

Estimating Square Roots

Perfect Squares

Real Numbers

Pythagorean Theorem

Introduction to Rigid Motions

Similarity and Dilation of Figures

Line and Angle Relationships

Tables, Graphs and Linear Equations

Introduction to Slope

More on Slope

Use Slope-Intercept Form to Graph a Line

Analyzing and Solving Equations

Sequences and Patterns

Introduction to Functions

Define and Use Functions

Define, Graph and Analyze Linear Versus Nonlinear Functions

Bivariate Data: Analyzing Scatter Plots

How to Draw a Line of
Best Fit

Analyzing Lines of Best Fit and Making Predictions

More on Bivariate Data: Slope, y-Intercept & Frequency

Graphs and Solving Systems of Equations

More on Graphs and Solving Systems of Equations

Using Equations, Analysis and Substitution for Systems of Equations

How to Choose A Method to Solve Systems of Equations

Area and Circumference

Surface Area and Volume Part 1

Surface Area and Volume Using Circles

Surface Area and Volume: Finishing Circles, Beginning Prisms

Surface Area and Volume: More Details on Calculations

Surface Area and Volume in Real-Life Situations