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Summit Pre-Algebra, Semester 2 (MTH113B)

Quick Overview

The Pre-Algebra course prepares students for more advanced study in algebra as students solve linear equations and systems of equations, work with radical and integer exponents, gain conceptual understanding of functions, and use functions to model quantitative relationships. To prepare students for more advanced study in geometry, the course emphasizes the Pythagorean theorem and a deepening exploration of similarity and congruence. This is the second semester of a two semester course.
Teacher-Led Course (one-time payment)   \$450.00

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Details

The Pre-Algebra course prepares students for more advanced study in algebra as students solve linear equations and systems of equations, work with radical and integer exponents, gain conceptual understanding of functions, and use functions to model quantitative relationships. To prepare students for more advanced study in geometry, the course emphasizes the Pythagorean theorem and a deepening exploration of similarity and congruence.

This is the second semester of a two semester course.

SEMESTER 2

Unit 1: Probability and Statistics

• Line Graphs
• Scatter Plots
• Clusters and Outliers
• Associations in Scatter Plots
• Lines of Best Fit
• Analyzing the Line of Best Fit
• Sample Space
• Theoretical Probability of a Compound Event
• Experimental Probability of Compound Events

Unit 2: Basic Geometric Shapes

• Pairs of Angles
• Complementary and Supplementary Angles
• Triangles
• Angles of a Triangle
• Exterior Angles of a Triangle
• Triangle Inequality Theorem
• Polygons
• Interior Angles of a Polygon

Unit 3: Transformations and Congruence

• Transformations 1
• Transformations 2
• Transformations 3
• Corresponding Parts of Transformed Figures
• Congruence
• Properties of Rigid Transformations
• Rigid Transformations and the Coordinate Plane
• Rigid Transformation Mapping Rules

Unit 4: Dilation and Similarity

• Dilations
• Similarity
• Similarity and Scale
• Dilations and the Coordinate Plane
• Transformations and Dilations
• The AA Criterion
• Similar Triangles
• Applications of Similar Triangles

Unit 5: Irrational Numbers

• Rational Numbers
• Terminating and Repeating Numbers
• Evaluate Square Roots and Cube Roots
• Understand Irrational Numbers
• Approximations of Irrationals

Unit 6: The Pythagorean Theorem

• Use the Pythagorean Theorem
• Converse of the Pythagorean Theorem
• Prove the Pythagorean Theorem
• Distances in the Coordinate Plane
• Applications of the Pythagorean Theorem
• Pythagorean Theorem in 3-D
• More Pythagorean Applications

Unit 7: Project: Climate Statistics

• Select Your City and Features
• Describe the Units of Measure
• Construct a Scatter Plot
• Create a Linear Model
• What Did You Learn About Climate Statistics?

Unit 8: Math 8 Semester A and B Assessments

• Semester A Test, Parts 1 and 2
• Semester B Test, Parts 1 and 2

Course Length 4 Months
Prerequisites N/A
Course Materials

Many K12 courses utilize physical materials in addition to the online content.  These materials may include the following.

K12
Standard Kits

STANDARD kits contain K12 course materials that are required for completion of the course.  These kits include K12 authored materials and/or difficult to procure materials that a student needs to complete a course. Printed reference guides are not included in Standard kits.

Consumable
Materials

CONSUMABLE kits contain only those materials from the standard kit that are intended for one time use. Families who purchase a Standard kit for Child A could later purchase a Consumable kit for Child B to complete the same course.

Materials

Offered for added convenience, ADDITIONAL kits contain easily obtained materials needed for the course which a family may already have in their home.

Learning
Coach and/or Student Reference Guides are available for purchase with some courses.  Electronic versions of these reference guides are also available within digital courses.

Course Start Date

Courses Taught by a K12 Teacher

Courses with a teacher have designated start dates throughout Fall, Spring, and Summer. Full-year courses last 10 months and semester courses last 4 months. Courses are taught by teachers in K12 International Academy. For details on start dates, click here.

Teacher Assisted Yes, this course is taught by a K12 International Academy teacher. If you are looking for a teacher-supported option with additional flexibility and year-round start dates, click here to learn about the Keystone School, another K12 online private schooling option.
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To use this course, you'll need a computer with an Internet connection.  Some courses require additional free software programs, which you can download from the Internet.

Hardware and Browsers (Minimum Recommendations)

Windows OS

• CPU: 1.8 GHz or faster processor (or equivalent)

• RAM: 1GB of RAM

• Browser: Microsoft Internet Explorer 9.0 or higher, Mozilla Firefox 10.0 versions or higher, Chrome 17.0 or higher

• At this time our users are encouraged not to upgrade to Windows 10 or Edge (the new browser)

Mac OS

• CPU: PowerPC G4 1 GHz or faster processor; Intel Core Duo 1.83 GHz or faster processor

• RAM: 1GB of RAM

• Browser: Firefox 10.0 versions or higher, Chrome 17.0 or higher (Safari is not supported!)

Internet Connections

It is highly recommended that a broadband connection be used instead of dial up.