Unit 1: Quadrilaterals and Other Polygons

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Geometry B

Discuss 150

Exam 224

5%

8%

Practice 500

Quiz 1436

17%

50%

Test

(CST)

Test

(TST)

375

200

13%

7%

Total Points for the Course : 2885

Unit 1: Quadrilaterals and Other Polygons

Lesson 1.1: Polygons and Quadrilaterals

Activity 1.1.1: Study - Polygons and Quadrilaterals

(Documents: Study Sheet )

Learn about the definitions of a polygon and a quadrilateral and the relationship of one to the other; identifying and naming polygons and quadrilaterals; and convex concave regular congruent and similar polygons.

Duration: 40 min

Activity 1.1.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 1.1.3: Quiz - Identifying and Naming Polygons and Quadrilaterals

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 30 Points Earned: _____

Activity 1.1.4: Quiz - Sorting and Recognizing Polygons

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 24 Points Earned: _____

Lesson 1.2: Angle Sums of a Polygon

Activity 1.2.1: Study - Angle Sums of a Polygon

Learn about the diagonal of a polygon the formula for the sum of the measures of a polygonâ_Ts interior angles and exterior angles and a theorem for the sum of their measures.

Duration: 40 min

Activity 1.2.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 1.2.3: Quiz - Angle Sums of a Polygon

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 30 Points Earned: _____

Lesson 1.3: Parallelograms

Activity 1.3.1: Study - Parallelograms

(Documents: Study Sheet )

Learn about the definition of a parallelogram properties and theorems of parallelograms consecutive angle pairs and diagonals.

Duration: 40 min

Activity 1.3.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 1.3.3: Quiz - Parallelograms

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 30 Points Earned: _____

Lesson 1.4: Tests for Parallelograms

Activity 1.4.1: Study - Tests for Parallelograms

(Documents: Study Sheet )

Explore parallelogram theorems involving opposite side lengths opposite and consecutive angle measures and bisecting diagonals. Then work through a sample proof.

Duration: 40 min

Activity 1.4.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 1.4.3: Quiz - Tests for Parallelograms

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 30 Points Earned: _____

Lesson 1.5: Rectangles

Activity 1.5.1: Study - Rectangles

(Documents: Study Sheet )

Learn about the definition of a rectangle congruent diagonal theorems and right angle theorems. Explore a sample problem case study about proving that a window is rectangular using the congruent diagonal theorem.

Duration: 40 min

Activity 1.5.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 1.5.3: Quiz - Rectangles

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 28 Points Earned: _____

Lesson 1.6: Rhombi and Squares

Activity 1.6.1: Study - Rhombi and Squares

(Documents: Study Sheet )

Identify the properties and definitions of a rhombus and a square. Prove that the diagonals of a rhombus are perpendicular. Investigate how diagonals of a rhombus bisect opposite vertices. Apply the properties of rhombi and squares to find missing side lengths diagonal lengths and angle measures.

Duration: 40 min

Activity 1.6.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 1.6.3: Quiz - Rhombi and Squares

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 30 Points Earned: _____

Lesson 1.7: Trapezoids

Activity 1.7.1: Study - Trapezoids

(Documents: Study Sheet )

Learn the definition of a trapezoid and identify its parts. Explore how base angles and diagonals of an isosceles trapezoid are congruent. Investigate the medians of a trapezoid. Apply the properties of trapezoids and isosceles trapezoids to find missing side lengths and median lengths.

Duration: 40 min

Activity 1.7.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 1.7.3: Quiz - Trapezoids

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 30 Points Earned: _____

Lesson 1.8: Area and Perimeter of Quadrilaterals

Activity 1.8.1: Study - Area and Perimeter of Quadrilaterals

(Documents: Study Sheet )

Learn about the formulas for the perimeter of a parallelogram a rhombus and a square and for the area of a polygon rectangle and square. Complete a sample problem in which you must calculate the area of a square. Learn about the altitude base and height of parallelograms and the formulas for the area of a parallelogram and a trapezoid.

Duration: 40 min

Activity 1.8.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 1.8.3: Quiz - Area and Perimeter of Quadrilaterals

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 30 Points Earned: _____

Activity 1.8.4: Quiz - Area of Rhombi and Trapezoids

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 22 Points Earned: _____

Lesson 1.9: Area and Perimeter of Polygons

Activity 1.9.1: Study - Area and Perimeter of Polygons

(Documents: Study Sheet )

Find the perimeter of any polygon. Determine the areas of irregular polygons by breaking them up into quadrilaterals and regular polygons. Use the apothem formula to find the area of a regular polygon.

Complete sample problems about the area of irregular polygons.

Duration: 40 min

Activity 1.9.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 1.9.3: Quiz - Area and Perimeter of Polygons

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 26 Points Earned: _____

Lesson 1.10: Wrap-Up

Activity 1.10.1: Practice - Assignment

(Documents: Practice Assignment )

Submit your work for a set of 20 practice problems.

Duration: 50 min Scoring: 100 Points Earned: _____

Activity 1.10.2: Review - Review Exercises

Take part in interactive games to review unit material in preparation for upcoming assessments.

Duration: 30 min

Activity 1.10.3: Discuss - Parts Bits and Pieces

Respond to one of four discussion questions asking you to apply methods learned in this unit.

Duration: 20 min Scoring: 30 Points Earned: _____

Activity 1.10.4: Test (CST) - Quadrilaterals and Other Polygons

Take a computer-scored test to assess what you have learned in this unit.

Duration: 40 min Scoring: 75 Points Earned: _____

Activity 1.10.5: Test (TST) - Quadrilaterals and Other Polygons

Take a teacher-scored test to assess what you have learned in this unit.

Duration: 30 min Scoring: 50 Points Earned: _____ (optional)

Lesson 1.11: Diagnostic

Activity 1.11.1: Diag - Quadrilaterals and Other Polygons

Take a diagnostic unit test that will generate a study plan based on your responses.

Duration: 40 min Scoring: 25 Points Earned: _____ (optional)

Unit 2: Circles

Lesson 2.1: What Is a Circle?

Activity 2.1.1: Study - What Is a Circle?

(Documents: Study Sheet )

Learn about the definition of a circle and about its center radius and circumference.

Duration: 40 min

Activity 2.1.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 2.1.3: Quiz - What Is a Circle?

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 30 Points Earned: _____

Lesson 2.2: Chords

Activity 2.2.1: Study - Chords

(Documents: Study Sheet )

Investigate the properties and definitions of chords and diameters. Discover that two chords are congruent if they are the same distance from the center of the circle. Prove that the radius bisects a chord if it is perpendicular to the chord.

Duration: 40 min

Activity 2.2.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 2.2.3: Quiz - Congruent Chords

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 26 Points Earned: _____

Activity 2.2.4: Quiz - Chords and Perpendicular Radii

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 22

Activity 2.2.5: Quiz - Diameter of a Circle

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 18

Points Earned: _____

Points Earned: _____

Lesson 2.3: Arcs

Activity 2.3.1: Study - Arcs

(Documents: Study Sheet )

Learn about the definitions of arc endpoint central angle and intercept. Learn about minor and major arcs and semicircles arc notation the measure of minor and major arcs and the arc congruence and congruent chord theorems.

Duration: 40 min

Activity 2.3.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 2.3.3: Quiz - Arc Types and Measure

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 30 Points Earned: _____

Activity 2.3.4: Quiz - Congruent Chords and Circle Angle Measure

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 24 Points Earned: _____

Lesson 2.4: Circles and Angles

Activity 2.4.1: Study - Circles and Angles

(Documents: Study Sheet )

Learn the definition of an inscribed angle. Experiment with inscribed angles and their intercepted arcs.

Discover and prove that an inscribed angle is half the measure of its intercepted arc. Discover and prove the intersecting chord theorem.

Duration: 40 min

Activity 2.4.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 2.4.3: Quiz - Inscribed Angles

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 24

Activity 2.4.4: Quiz - Intersecting Chord Theorem

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 22

Points Earned: _____

Points Earned: _____

Lesson 2.5: Secants and Tangents

Activity 2.5.1: Study - Secants and Tangents

(Documents: Study Sheet )

Learn about the definition of secant and about secant-secant angle its theorem and proving the theorem.

Learn about tangent line point of tangency and tangent segments tangents perpendicular to a circleâ_Ts radius a tangent-tangent angle and its theorem and a tangent-chord angle and its theorem; explore a sample proof.

Duration: 40 min

Activity 2.5.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 2.5.3: Quiz - Secant-Secant Angles

Quiz on secant-secant angles

Duration: 25 min Scoring: 22

Activity 2.5.4: Quiz - Tangent-Chord Angles

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 24

Points Earned: _____

Activity 2.5.5: Quiz - Tangent-Tangent Angles and Their Intercepted Arcs

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 14 Points Earned: _____

Lesson 2.6: Circumference and Arc Length

Activity 2.6.1: Study - Circumference and Arc Length

(Documents: Study Sheet )

Learn about the irrational number pi and the formula for finding the circumference of a circle. Apply circumference to a real-world problem involving the raising of a highway over a river to allow for boating traffic underneath. Learn about the degree measure of an arc and arc length. Derive the formula for arc length.

Duration: 40 min

Activity 2.6.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 2.6.3: Quiz - Circumference of a Circle

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 14

Activity 2.6.4: Quiz - Arc Length

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 26

Lesson 2.7: Area and Sectors

Points Earned: _____

Points Earned: _____

Points Earned: _____

Activity 2.7.1: Study - Area and Sectors

(Documents: Study Sheet )

Learn about the formula for the area of a circle. Explore a case study comparing the cost per square inch of small and large pizzas. Learn about sectors and the area of a sector.

Duration: 40 min

Activity 2.7.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 2.7.3: Quiz - Area of a Circle

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 20 Points Earned: _____

Activity 2.7.4: Quiz - Area of a Sector

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 26 Points Earned: _____

Lesson 2.8: Circles and Triangles

Activity 2.8.1: Study - Circles and Triangles

(Documents: Study Sheet )

Learn about inscribed objects the definition of incenter circumscribed objects and the definition of circumcenter.

Duration: 40 min

Activity 2.8.2: Quiz - Circles and Triangles

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 28 Points Earned: _____

Lesson 2.9: Circles and Polygons

Activity 2.9.1: Study - Circles and Polygons

(Documents: Study Sheet )

Learn about the theorem of a quadrilateral inscribed in a circle and the theorem of a parallelogram inscribed in a circle.

Duration: 40 min

Activity 2.9.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 2.9.3: Quiz - Circles and Polygons

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 24

Lesson 2.10: Wrap-Up

Activity 2.10.1: Practice - Assignment

Points Earned: _____

(Documents: Practice Assignment )

Submit your work for a set of 20 practice problems.

Duration: 50 min Scoring: 100 Points Earned: _____

Activity 2.10.2: Review - Review Exercise

Take part in interactive games to review unit material in preparation for upcoming assessments.

Duration: 30 min

Activity 2.10.3: Discuss - A Circular Peg within A Square Hole

Respond to one of three discussion questions asking you to apply methods learned in this unit.

Duration: 20 min Scoring: 30 Points Earned: _____

Activity 2.10.4: Test (CST) - Circles

Take a computer-scored test to assess what you have learned in this unit.

Duration: 40 min Scoring: 75 Points Earned: _____

Activity 2.10.5: Test (TST) - Circles

Take a teacher-scored test to assess what you have learned in this unit.

Duration: 30 min Scoring: 50 Points Earned: _____

Lesson 2.11: Diagnostic

Activity 2.11.1: Diag - Circles

Take a diagnostic unit test that will generate a study plan based on your responses.

Duration: 40 min Scoring: 25 Points Earned: _____ (optional)

Unit 3: Coordinate Geometry

Lesson 3.1: The Cartesian Coordinate System

Activity 3.1.1: Study - The Cartesian Coordinate System

(Documents: Study Sheet )

Learn about René Descartes latitude and longitude as a grid the Cartesian coordinate system as perpendicular number lines axes and the origin the xy-plane x- and y-coordinates and ordered pairs.

Duration: 40 min

Activity 3.1.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 3.1.3: Quiz - The Cartesian Coordinate System

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 30 Points Earned: _____

Lesson 3.2: Midpoint Formula

Activity 3.2.1: Study - Midpoint Formula

(Documents: Study Sheet )

Learn about the midpoints of horizontal vertical and diagonal line segments and about the midpoint formula. Complete a sample problem.

Duration: 40 min

Activity 3.2.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 3.2.3: Quiz - Midpoint Formula

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 30 Points Earned: _____

Lesson 3.3: The Distance Formula

Activity 3.3.1: Study - The Distance Formula

(Documents: Study Sheet )

Derive the distance formula from the Pythagorean theorem. Use this formula to calculate the distance between any two points. Apply the distance formula in a real-world problem that involves locating the shortest route on a nautical map.

Duration: 40 min

Activity 3.3.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 3.3.3: Quiz - The Distance Formula

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 20 Points Earned: _____

Lesson 3.4: Coordinates and Data

Activity 3.4.1: Study - Coordinates and Data

(Documents: Study Sheet )

Learn about graphs and the Cartesian coordinate system plotting data points looking for patterns finding correlations dependent and independent variables the line of best fit and deviation and range.

Duration: 40 min

Activity 3.4.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 3.4.3: Quiz - Coordinates and Data

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 16 Points Earned: _____

Lesson 3.5: Patterns and Lines

Activity 3.5.1: Study - Patterns and Lines

(Documents: Study Sheet )

Learn about data points that form a straight line linear equations and ordered pairs.

Duration: 40 min

Activity 3.5.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 3.5.3: Quiz - Patterns and Lines

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 30 Points Earned: _____

Lesson 3.6: Slope

Activity 3.6.1: Study - Slope

(Documents: Study Sheet )

Learn about measuring slope rise and run; the slope formula; negative zero and undefined slope; and measuring the rate of change of a dependent variable.

Duration: 40 min

Activity 3.6.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 3.6.3: Quiz - Computing Slope

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 24 Points Earned: _____

Activity 3.6.4: Quiz - Special Cases of Slope

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 30 Points Earned: _____

Lesson 3.7: The Rescue Ship Problem

Activity 3.7.1: Study - The Rescue Ship Problem

(Documents: Study Sheet )

Explore a case study about using the slope formula and a parallel rule to steer a ship through dangerous waters.

Duration: 40 min

Lesson 3.8: Parallel and Perpendicular Lines

Activity 3.8.1: Study - Parallel and Perpendicular Lines

(Documents: Study Sheet )

Learn about the definition and slopes of parallel and perpendicular lines. Learn about negative reciprocals.

Duration: 40 min

Activity 3.8.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 3.8.3: Quiz - Parallel and Perpendicular Lines

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 26 Points Earned: _____

Lesson 3.9: Equations of Lines

Activity 3.9.1: Study - Equations of Lines

(Documents: Study Sheet )

Learn about and explore examples of properties of lines the y-intercept the slope-intercept equation and the point-slope equation.

Duration: 40 min

Activity 3.9.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 3.9.3: Quiz - Equations of Lines

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 28 Points Earned: _____

Activity 3.9.4: Quiz - Equations of Lines -- Part 2

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 24 Points Earned: _____

Lesson 3.10: Circles

Activity 3.10.1: Study - Circles

(Documents: Study Sheet )

Use algebra to find an equation whose solution set is a circle. Learn about the standard equation for circles not centered at the origin.

Duration: 40 min

Activity 3.10.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 3.10.3: Quiz - Circles Centered at the Origin

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 20 Points Earned: _____

Activity 3.10.4: Quiz - Circles Not Centered at the Origin

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 22 Points Earned: _____

Lesson 3.11: Wrap-Up

Activity 3.11.1: Practice - Assignment

(Documents: Practice Assignment )

Submit your work for a set of 20 practice problems.

Duration: 50 min Scoring: 100 Points Earned: _____

Activity 3.11.2: Review - Review Exercise

Take part in interactive games to review unit material in preparation for upcoming assessments.

Duration: 30 min

Activity 3.11.3: Discuss - Graph Paper Puzzles

Respond to one of three discussion questions asking you to apply methods learned in this unit.

Duration: 20 min Scoring: 30 Points Earned: _____

Activity 3.11.4: Test (CST) - Coordinate Geometry

Take a computer-scored test to assess what you have learned in this unit.

Duration: 40 min Scoring: 75 Points Earned: _____

Activity 3.11.5: Test (TST) - Coordinate Geometry

Take a teacher-scored test to assess what you have learned in this unit.

Duration: 30 min Scoring: 50 Points Earned: _____

Lesson 3.12: Diagnostic

Activity 3.12.1: Diag - Coordinate Geometry

Take a diagnostic unit test that will generate a study plan based on your responses.

Duration: 40 min Scoring: 25 Points Earned: _____ (optional)

Unit 4: Three-Dimensional Solids

Lesson 4.1: Three Dimensions

Activity 4.1.1: Study - Three Dimensions

(Documents: Study Sheet )

Learn about measuring three-dimensional figures.

Duration: 40 min

Activity 4.1.2: Quiz - Three Dimensions

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 24 Points Earned: _____

Lesson 4.2: What is a Polyhedron?

Activity 4.2.1: Study - What is a Polyhedron?

(Documents: Study Sheet )

Learn about the definition and elements of a polyhedron prisms and their components triangular and rectangular prisms cubes and regular and irregular pyramids.

Duration: 40 min

Activity 4.2.2: Quiz - What is a Polyhedron?

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 30 Points Earned: _____

Lesson 4.3: Cylinders and Cones

Activity 4.3.1: Study - Cylinders and Cones

(Documents: Study Sheet )

Learn about the definition components and properties of a cylinder; the definition and components of a cone; and the similarities between cones and pyramids.

Duration: 40 min

Activity 4.3.2: Quiz - Cylinders and Cones

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 22 Points Earned: _____

Lesson 4.4: Platonic Solids

Activity 4.4.1: Study - Platonic Solids

(Documents: Study Sheet )

Learn about polygonal numbers regularity of Platonic solids and building your own Platonic solids.

Duration: 40 min

Activity 4.4.2: Quiz - Platonic Solids

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 30 Points Earned: _____

Lesson 4.5: Surface Area

Activity 4.5.1: Study - Surface Area

(Documents: Study Sheet )

Learn about perimeter and surface area; base and lateral area; the formulae for lateral and surface area of a right prism the surface area of an oblique prism and the surface area of a pyramid; the formulae for lateral and surface area of a regular pyramid; slant height vs. altitude; and the formulae for lateral and surface area of a right cylinder surface area of an oblique cylinder and surface area of right and oblique cones. Explore sample problems dealing with these subjects.

Duration: 40 min

Activity 4.5.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 4.5.3: Quiz - Surface Area of Regular Prisms and Pyramids

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 30 Points Earned: _____

Activity 4.5.4: Quiz - Surface Area of Right Cylinders and Cones

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 22 Points Earned: _____

Lesson 4.6: Volume

Activity 4.6.1: Study - Volume

(Documents: Study Sheet )

Learn about area and volume; the formulae for volume of a cube and a rectangular prism; and Bonaventura

Francesco Cavalieriâ_Ts principle. Learn about the formulae for volume of a cylinder a pyramid and a cone; explore sample problems dealing with these formulae. Learn about cross-sectional area.

Duration: 40 min

Activity 4.6.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 4.6.3: Quiz - Volume of Prisms Cylinders and Cubes

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 28 Points Earned: _____

Activity 4.6.4: Quiz - Volume of Cones Cylinders and Pyramids

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 24 Points Earned: _____

Lesson 4.7: Spheres

Activity 4.7.1: Study - Spheres

(Documents: Study Sheet )

Learn about the definition of a sphere; the formulae for surface area and volume of a sphere; comparing the surface area and volume of a sphere cube cylinder and cone; and deriving the formula for volume of a sphere using Cavalieriâ_Ts principle.

Duration: 40 min

Activity 4.7.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 4.7.3: Quiz - Spheres

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 24 Points Earned: _____

Lesson 4.8: Similar Solids

Activity 4.8.1: Study - Similar Solids

(Documents: Study Sheet )

Learn about similar prisms pyramids cylinders cones and spheres; the constant ratio between corresponding parts of similar solids; and the ratio of volumes of similar solids.

Duration: 40 min

Activity 4.8.2: Checkup - Practice Problems

(Documents: Checkup )

Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 4.8.3: Quiz - Similar Solids

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 30 Points Earned: _____

Lesson 4.9: Wrap-Up

Activity 4.9.1: Practice - Assignment

(Documents: Practice Assignment )

Submit your work for a set of 20 practice problems.

Duration: 50 min Scoring: 100 Points Earned: _____

Activity 4.9.2: Review - Review Exercises

Take part in interactive games to review unit material in preparation for upcoming assessments.

Duration: 30 min

Activity 4.9.3: Discuss - Polyhedron Tinker Toys

Respond to one of three discussion questions asking you to apply methods learned in this unit.

Duration: 20 min Scoring: 30 Points Earned: _____

Activity 4.9.4: Test (CST) - Three-Dimensional Solids

Take a computer-scored test to assess what you have learned in this unit.

Duration: 40 min Scoring: 75 Points Earned: _____

Activity 4.9.5: Test (TST) - Three-Dimensional Solids

Take a teacher-scored test to assess what you have learned in this unit.

Duration: 30 min Scoring: 50 Points Earned: _____

Lesson 4.10: Diagnostic

Activity 4.10.1: Diag - Three-Dimensional Solids

Take a diagnostic unit test that will generate a study plan based on your responses.

Duration: 40 min Scoring: 25 Points Earned: _____ (optional)

Unit 5: Topics in Geometry

Lesson 5.1: Constructions

Activity 5.1.1: Study - Constructions

(Documents: Study Sheet )

Learn about using a straightedge and a compass; common notions of Euclidean geometry; five postulates; constructing an equilateral triangle and a regular hexagon; bisecting an angle; and constructing a perpendicular bisector.

Duration: 40 min

Activity 5.1.2: Quiz - Constructions

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 20 Points Earned: _____

Lesson 5.2: Paper Folding

Activity 5.2.1: Study - Paper Folding

(Documents: Study Sheet )

Learn about constructing geometric solids with folding paper coinciding objects bisecting an angle and

constructing a parallel line segment.

Duration: 40 min

Activity 5.2.2: Quiz - Paper Folding

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 18 Points Earned: _____

Lesson 5.3: Symmetry

Activity 5.3.1: Study - Symmetry

(Documents: Study Sheet )

Learn about reflectional symmetry and line of symmetry and explore example of an isosceles triangle. Learn about rotational symmetry point of symmetry and the symmetry of a human face.

Duration: 40 min

Activity 5.3.2: Quiz - Symmetry

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 24 Points Earned: _____

Lesson 5.4: Tessellations

Activity 5.4.1: Study - Tessellations

(Documents: Study Sheet )

Learn the definition and explore examples of tessellations. Discover the chessboard as an example of a regular tessellation. Learn about semiregular tessellations.

Duration: 40 min

Activity 5.4.2: Quiz - Tessellations

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 18

Activity 5.5.2: Quiz - Fractals

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 26

Points Earned: _____

Lesson 5.5: Fractals

Activity 5.5.1: Study - Fractals

(Documents: Study Sheet )

Learn about self-similarity of fractals; the golden rectangle; making a Sierpinski gasket; the Koch curve; a

Cantor dust; examples of infinite length in nature; Zenoâ_Ts paradox; self-similarity in biological organisms; fern fractals; Mandelbrot sets; fractals and recursion; and fractional dimension.

Duration: 40 min

Points Earned: _____

Lesson 5.6: Locus of Points

Activity 5.6.1: Study - Locus of Points

(Documents: Study Sheet )

Learn about defining objects in terms of points and given distances. Explore examples of a parabola and bisecting angles.

Duration: 40 min

Activity 5.6.2: Quiz - Locus of Points

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 16 Points Earned: _____

Lesson 5.7: Non-Euclidean Geometry

Activity 5.7.1: Study - Non-Euclidean Geometry

(Documents: Study Sheet )

Learn about the Playfair axiom (parallel postulate); examples of non-Euclidean geometry; Georg Friedrich

Bernhard Riemannâ_Ts negation; great circles; Nikolai Ivanovich Lobachevskyâ_Ts negation; hyperbolic geometry; Henri Poincar éâ_Ts disk; Euclidean geometry as a subset of a complete geometric system; and characteristics of spherical and hyperbolic geometry.

Duration: 40 min

Activity 5.7.2: Quiz - Non-Euclidean Geometry

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 30 Points Earned: _____

Lesson 5.8: Impossible Problems from Antiquity

Activity 5.8.1: Study - Impossible Problems from Antiquity

(Documents: Study Sheet )

Learn about the Delian problem (doubling a cube) and trisecting an angle.

Duration: 40 min

Activity 5.8.2: Quiz - Impossible Problems from Antiquity

Take a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 16 Points Earned: _____

Lesson 5.9: Wrap-Up

Activity 5.9.1: Practice - Assignment

(Documents: Practice Assignment )

Submit your work for a set of 20 practice problems.

Duration: 50 min Scoring: 100 Points Earned: _____

Activity 5.9.2: Review - Review Exercise

Take part in interactive games to review unit material in preparation for upcoming assessments.

Duration: 30 min

Activity 5.9.3: Discuss - Applying What You've Learned

Respond to one of three discussion questions asking you to apply methods learned in this unit.

Duration: 20 min Scoring: 30 Points Earned: _____

Activity 5.9.4: Test (CST) - Topics in Geometry

Take a computer-scored test to assess what you have learned in this unit.

Duration: 40 min Scoring: 75 Points Earned: _____

Activity 5.9.5: Test (TST) - Topics in Geometry

Take a teacher-scored test to assess what you have learned in this unit.

Duration: 30 min Scoring: 50 Points Earned: _____

Lesson 5.10: Diagnostic

Activity 5.10.1: Diag - Topics in Geometry

Take a diagnostic unit test that will generate a study plan based on your responses.

Duration: 40 min Scoring: 25 Points Earned: _____ (optional)

Unit 6: Geometry Semester 2 Review and Exam

Lesson 6.1: Preparing for the Semester Exam

Activity 6.1.1: Review - Semester Review

Duration: 1 hr

Activity 6.1.2: Exam - Semester Exam

Duration: 50 min Scoring: 224 Points Earned: _____

Appendix B: Additional Activities

B.1: Extra Credit

Scoring: 15 Points Earned: _____

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