Geometry

• Geometry PK Correlation
• New Trier Geometry Textbook Reviews + Answer Keys

Geometry PK Correlation

Geometry Mathnasium Material NT Correlation

Unit 1:

Section 1.1 Symmetry

• Line Symmetry - PK3514

• Point Symmetry - 

• Rotational Symmetry - PK3104

• Translational Symmetry - PK3104

Section 1.2 So, What’s the Point

• Definition of a point - PK824

• Definition of a plane - PK824

• Definition of a line - PK824

• Definition of a segment - PK824

• Definition of a ray - PK824

• Union/Intersection - PK824

• Locus of Points/Endpoints - FO2160

Section 1.3 Nspire Intro

Section 1.4 Transformations 

• Isometries {Translation PK3509, Rotation PK3510, Reflection PK3511, Dilation PK3512}

• Dilations

• Pre-image/image (Steps to transformation) - PK3581

Section 1.5 Transformations by Hand

• Translating by vectors

• Reflecting across lines - PK3584

• Rotating around a central point

• Dilating from point - PK3583

Unit 2: Transformations with Coordinates

Section 2.1 Transformations

• Graphing points/ translating points - PK3509

• Reflecting, rotating, dilating on the graph - PK3511, PK3512

Section 2.2 Things I Learned in Algebra

• Midpoints - PK3434

• Length of segments - PK3435

• Slopes of lines - PK3408

Section 2.3 More Geometry and Algebra!

• Altitudes - PK3552

• Perpendicular Bisectors - PK3552

• Medians - PK3552

Section 2.4 One Magic Moment, One Magical Point

• Solving systems of linear equations/finding the intersection of lines - {Substitution PK3417, Elimination PK3418, Graphing PK3416, Problem-Solving PK3452}

• Reflecting points over oblique lines - PK3584

• Determining medians/perpendicular bisectors on shapes graphically

• Distance between two lines - 

Unit 3: Congruent Triangles

Section 3.1 It’s Only Logical

• Conditional Statements - PK3530

Section 3.2 Three is a Magic Number

• AAS, SAS, SSS, ASA - PK4571, PK4570

• Describing transformations

Section 3.3 Congruent Triangles

• Vertical Angles - PK3580, PK3572, PK3573

• Reflexive Property  - PK3533

• Transitive Property - PK3533

• Two-column proofs - PK3533

Section 3.4 Supps and Comps

• Complementary angles - PK3507

• Supplementary angles - PK3507

• Corresponding supp/comp proof reasons

Section 3.5 Addition and Subtraction

• Addition theorem - PK3566

• Subtraction theorem

Section 3.6 Multiplication and Division

• Multiplication theorem

• Division theorem

Unit 4: Constructions

Section 4.1: The Basics

• Copying a segment - FO0023

• Adding segments - FO0023

• Copying an angle - FO0023

• Bisecting an angle - FO0023

• Constructing SSS triangle

• Triangle Inequality Theorem

Section 4.2: Constructing Perpendiculars

• Constructing a perpendicular bisector - FO0023

• Construct a perpendicular to a segment - FO0023

• Construct a perpendicular to a line through a point not on the line

Section 4.3 Points of Concurrency

• Point of concurrency - PK3559

• Incenter - PK3559

• Circumcenter - PK3559

• Centroid - PK3559

• Orthocenter - PK3559

Unit 5: Proving Triangles Congruent is Not the Goal, It’s the Process

Section 5.1: The End of CPCTC

• “CPCTC” - PK3573 (page 6)

• Circles - Congruent Radii

Section 5.2: Turn It Up To 11: Draw a line & overlapping triangles

Section 5.3: Classify Triangles

• The sum of triangle angles equals 180

• Equilateral, Isosceles, Scalene - PK3099

• Acute, Right, Obtuse Triangles - FO111

• The longest side is opposite the largest angle

Section 5.4: My Favorite Theorems

• Isosceles - base angle/base sides

• Isosceles - angle bisector = median = altitude

Section 5.5: RHL

• RHL Proof

Unit 6: The Next Chapter

Section 6.1: The Questions of Mathematics

• If two angles supp and comp -> rt angles

Section 6.2: No Picture? Then Make a Picture

• Draw it out

Section 6.3: Perpendicular Bisector and Equidistance

• If a pt is on the perp bisector, it is central to the endpoints

• If two points are equidistant to the endpoints of a seg -> they form the perp bisector

Section 6.4: If It’s Not This, Then It’s Got To Be This 404

• Proof by Contradiction

Unit 7: Lines, Angles, Quads

Section 7.1: Parallel Lines

• Transversal

• Alternate Interior Angles, Alternate Exterior Angles, Corresponding Angles, Same Same Interior Angles - FO272

Section 7.2: Parallel Lines Keep Going

• Constructing parallel lines

Section 7.3: Quadrilaterals

• Definition of a quadrilateral

• Properties of a parallelogram

• Properties of a kite

• Properties of a rectangle

• Properties of a rhombus

• Properties of a square

• properties of a trapezoid

• Properties of a isosceles trapezoid - PK3099

Section 7.4: More Quadrilaterals

• Solving problems involving properties of quads

Section 7.5: It looks like a parallelogram

• Properties of a parallelogram

• Both pairs of opposite sides are parallel

• Both pairs of opposite sides are congruent

• Both diagonals bisected

• Same pair of opposite sides and congruent = parallelogram

• The sum of angles in quadrilaterals is 360. 

Section 7.6: Special Quads

• Solving problems using obscure properties of quads.

Unit 8: Similarity

Section 8.1: Dilations

Section 8.2: Dilations pt. Deux

Section 8.3: Similarity

Section 8.4: Proving Similar Triangles

Section 8.5: Proportions Without Similar Triangles

Unit 9: Right Triangles

Section 9.1: Rt Triangle inside a Rt Triangle

Section 9.2: Pythagorean Theorem - PK3363

Section 9.3: Right Triangle Families - PK3363

Section 9.4: Rt Triangles in 3D Figures - 

Section 9.5: Special Right Triangles - PK3561

Section 9.6: Right Triangle Trigonometry - PK3916

Law of Cosines - PK3914, PK3915

Law of Sines - PK3913, PK3915

Unit 10: Polygons

Section 10.1: Polygon Formulas - PK3501, PK3550, PK3551

Section 10.2: What is Regular? - PK3501

Section 10.3: Constructing of Regular Polygons - FO 023 (page 29)

Section 10.4: Tessellations - FO 194

Unit 11: Circles

Section 11.1: Chords of Circles - PK3562

Section 11.2: From the Center to the Arc 

Section 11.3: Tangents - PK3569

Section 11.4: Angle-Arc Relationships - PK3568

Section 11.5: Arcs have Length and Measure - PK3588

Section 11.6: Power of the Poin 

Unit 12: Area

Section 12.1: Area Basics - PK3089

Section 12.2: More Area Formulas - PK3362(Rectangles), PK3364(Triangles), PK3365(Circles), PK3523(Parallelograms), PK3524(Trapezoids)

Section 12.3: Regular Polygons - PK3590

Section 12.4: Sectors of Circles - PK3588

Section 12.5: Ratios of Areas - PK3582

Unit 13: 3D

Section 13.1: Lines and Planes in Space - PK0804 (skew lines)

Section 13.2: If You Look At It That Way - ???

Section 13.3: Cross-Sections of 3D Objects - FO 242, FO 188

Unit 14: Surface Area and Volume

Section 14.1: Surface Area - PK3527, PK3595

Section 14.2: SA of Cylinders and Cones - PK3527, PK3595

Section 14.3: Volume Basics - PK3528, PK3596

Section 14.4: Volumes with an Apex - PK3528, PK3596

Section 14.5: Spheres - PK3555

Unit 15: Modeling - Difficult to find any Mathnasium material with geometric monitoring. PK3534 and PK3535 have some geometric problem-solving

Section 15.1: Intro to Modeling

Section 15.2: Art Gallery Watchmen

Section 15.3: Packaging and Packing

Section 15.4: Airports

 

New Trier Geometry Textbook Reviews + Answer Keys

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