  ```GSE Algebra I ``` `UNIT 1 - Relationships Between Quantities` `UNIT 2 - Linear Equations & Inequalities` `UNIT 3 - Modeling Quadratics` `UNIT 4 - Modeling & Analyzing Exponential Functions` `UNIT 5 - Comparing & Contrasting Functions` `UNIT 6 - Describing Data` `EOC Prep` ```GSE Geometry ``` `UNIT 1 - Transformations in the Coordinate Plane ` `UNIT 2 - Similarity Congruence, Proofs` `UNIT 3 - Right Triangle Trigonometry` `UNIT 4 - Circles & Volume` `UNIT 5 - Geometric & Algebraic Connections` `UNIT 6 - Applications of Probability` `EOC Prep` ```GSE Algebra II ``` `UNIT 1 - Quadratics Revisited` `UNIT 2 - Operations with Polynomials` `UNIT 3 - Polynomial Functions` `UNIT 4 - Rational & Radical Relationships` `UNIT 5 - Exponential & Logarithmic Functions` `UNIT 6 - Mathematical Modeling` `UNIT 7 - Inferences & Conclusions from Data` ```GSE PreCalc ``` UNIT 1 - Trigonometry of General Triangles UNIT 2 - Introduction to Trig Functions UNIT 3 - Trigonometric Functions `UNIT 4 - Trigonometric Identities` `UNIT 5 - Matrices` `UNIT 6 - Conics` `UNIT 7 - Vectors` `UNIT 8 - Probability` ```Other Courses ``` ```Adv. Mathematical Decision Making ``` `UNIT 1 - Analyzing Numerical Data` `UNIT 2 - Probability` `UNIT 3 - Statistical Studies` `UNIT 4 - Recursion Models` `UNIT 5 - Trigonometry & Regression Models` `UNIT 6 - Financial Decisions` `UNIT 7 - Networks & Graphs` `UNIT 8 - Matrix Applications & Voting Methods` ```Analytical Geometry ``` `UNIT 1 - Similarity, Congruence, Proof` `UNIT 2 - Right Triangle Trigonometry` `UNIT 3 - Circles & Volumes` `UNIT 4 - Extending the Number System` `UNIT 5 - Quadratic Functions` `UNIT 6 - Modeling Geometry` `UNIT 7 - Applications of Probability` `EOC Practice Test` ```Coordinate Algebra ``` `EOC Practice Test` ```Integrated Algebra I ``` `UNIT 1 - Function Families` `UNIT 2 - Algebra Investigations` `UNIT 3 - Geometry` `UNIT 4 - The Chance of Winning` `UNIT 5 - Algebraic Investigations` `UNIT 6 - Coordinate Geometry` `EOCT Prep` ```Integrated Geometry ``` `UNIT 1 - Quadratic Function` `UNIT 2 - Right Triangle Trigonometry` `UNIT 3 - Circles and Spheres` `UNIT 4 - Data Analysis & Probability` `UNIT 5 - Piecewise, Inverse, Exponential` `UNIT 6 - Find the Best Model` ```GPS Middle School Math ``` `6th Grade Math` `7th Grade Math` `8th Grade Math` Home > GSE Geometry >Unit 5 - Geometric & Algebraic Connections         Search Site:

Review

 Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 EOC

Georgia
Unit 5 Frameworks All of Unit 5
Unit 5-1 :
(Review) Graph Linear Equations (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

(8th Grade) MGSE8.F.3:Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.

(8th Grade) MGSE8.F.4 :Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x,y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and

MGSE9-12.G.GPE.5 :Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

Video Lessons: (
p1, p2, p3 )

Sample Quiz: (Interactive, PDF) Unit 5-2 : Parallel & Perpendicular Lines (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MGSE9-12.G.GPE.5 :Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

Video Lessons: (p1, p2, p3 )

Sample Quiz: (Interactive, PDF) Unit 5-3: Midpoints & Segment Ratios (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.G.GPE.6 :Find the point on a directed line segment between two given points that partitions the segment in a given ratio. .

Video Lessons: (
p1a, p1b, p2, p3, p4)

Sample Quiz: (Interactive, PDF) Unit 5-4: Coordinate Circles (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)
MGSE9-12.G.GPE.1:Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation

Video Lessons: (p1, p2, p3 )

Sample Quiz: (Interactive, PDF) Unit 5-5: Coordinate Applications & Proofs (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MGSE9-12.G.GPE.4: Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0,2). (Focus on quadrilaterals, right triangles, and circles.)

MGSE9-12.G.GPE.7 :Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.

Video Lessons: (p1, p2, p3, p4, p5)

Sample Quiz: (Interactive, PDF) Unit 5-6: Geometric Contextualized Modeling (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MGSE9-12.G.MG.1:Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).

MGSE9-12.G.MG.2 :Apply concepts of density based on area and volume in modeling situations(e.g., persons per square mile, BTUs per cubic foot).

MGSE9-12.G.MG.3:Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).

Video Lessons: (p1, p2, p3, p4, p5)

Sample Quiz: (Interactive, PDF) TEST : Testing Item Banks for Exam View

(166 available questions for Unit 5) 