Geometry for Middle School Teachers - Useful Connections to CPS Textbooks

CONNECTED MATHEMATICS MATH THEMATICSDay 1 Constructing Polyedra using Polygons

Three dimensions Grade 6 - Shapes and Designs, p. 70, Building Polygons, Triangles and Quadrilaterals Book 1 - p. 98, Geoboard Constructions

Platonic Polyhedra Grade 6 - Shapes and Designs, p. 10, Sorting ShapesGrade 6 - Shapes and Designs, p. 55, Polygon Chart

Day 2 Building with Triangles

Angles Grade 6 - Shapes and Designs, p. 24, Undertanding Angles Book 1 - p. 429, Measuring Angles

Grade 6 - Shapes and Designs, p. 37, Analyzing Measurement Errors Book 1 - p. 19, Classifying Triangles by Angles

Grade 6 - Shapes and Designs, p. 52, Angles in Astronomy Book 2 - p. 80, Angle Relationships

Book 2 - p. 216, Constructing TrianglesBook 2 - p. 77, Measuring AnglesBook 2 - p. 435, Angle Exploration "Locating the Hub"Book 3 - p. 357, Constructing an AstrolabeBook 3 - p. 367, Building a RampBook 3 - p. 389, Building a Ramp

Book 3 - Angles and Triangles

Interior and Exterior Angles Grade 6 - Shapes and Designs, p. 61, Exterior Angles of Polygons Book 2 - p. 223, Classifying and Constructing Triangles

Grade 6 - Shapes and Designs, p. 67, Patterns of Interior Angles of Polygons Book 2, p. 424, Interior and Exterior Angles

Angle Sum Grade 6 - Shapes and Designs, p. 56, Angle Sums Book 2, p. 426, Angles of Triangles and Quadrilaterals

Book 2, p. 429, Sums of the Measures of Angles of a Triangle

Book 2, p. 423, The Sum of the Measure of the Angles of Any PolygonBook 3 - Complementary and Supplementary Angles

Day 3 Decontructing and Constructing Triangles

Congruence Grade 8 - Kaleidocopes, Hubcaps & Mirros 3.2, p. 50, Congruent Triangles Book 1 - p. 424, Similar ansd Congruent Shapes

Grade 8 - Kaleidocopes, Hubcaps & Mirros 4.1, p. 66, Finding Distances w/out Measuring

Triangles Grade 6- Covering and Surrounding, p. 41, Identifying Base and Height Book 1 - p. 16, Classifying Triangles by Sides

Grade 6- Covering and Surrounding, p. 42, Triangle Families Book 1 - p. 85, Line of Symmetry in Triangles & Polygons

Grade 8 - Kaleidocopes, Hubcaps & Mirros 3.4, p. 54, Polystrip Triangles Book 1 - p. 459, Area of a Triangle

Grade 8 - Kaleidocopes, Hubcaps & Mirros, p. 70, Congruent Triangles Book 2 - p. 443, Networks

Book 3 - p. 241, The Sierpinski Triangle, Constructing TrianglesBook 3 - p. 301, Classifying TrianglesBook 3 - p. 361, The Tangent RatioBook 3 - p. 379, Complete Graph

Medians (& Other Cevians)

Mid Segments and Parallels Grade 6 - Covering & Surrounding, p. 64, Triangle midpoints Book 3, p. 248, Perpendicular Bisectors

Book 3, p. 434, Parallel Lines & Transversals

Day 4 Quadrilateral Sorting

Classifying Quadrilaterals Grade 6 - Shapes and Designs, p. 74, The Quadrilateral Game Book 1 - p. 83, Classifying Quadrilaterals by Parallel Sides

Grade 6 - Covering and Surrounding, p. 61, Parallelogram Patterns Book 1 - p. 85, Line of Symmetry in Triangles & Polygons

Grade 6- Covering & Surrounding, p. 67, Trapezoid Patterns Book 1 - p. 91, Classifying Polygons

Grade 7 - Stetching & Shrinking, p. 75, Golden Rectangle Book 1 - p. 424, Similar ansd Congruent ShapesBook 2, p. 422, Parallel Lines and Angles of PolygonsBook 2, p. 513, Classifying Quadrilaterals

Geometry for Middle School Teachers - Useful Connections to CPS Textbooks

Book 3 - p. 166, Perfect SquareBook 3 - p. 275, Classifying QuadrilateralsBook 3 - p. 283, Angles of Polygons

Van Hiele

Day 5 Tangrams and Pythagorean Constructions

Pythagorean Theorem Grade 8- Looking for Pythagoras 1.0, p. 5, Coordinate Grids Book 3 - p. 290, Triangle Side Length Relationships

Grade 8- Looking for Pythagoras 2.3, p. 22, Using Squares to Find Lengths Book 3 - p. 294, The Pythagorean Theorem

Grade 8- Looking for Pythagoras 3.0, p. 31, Pythagorean Theorem InvestigationGrade 8- Looking for Pythagoras 3.2, p. 34, A Proof of Pythagorean TheoremGrade 8 - Looking for Pythagora 4.1, p. 47, The Wheel of TheodorusGrade 8 - Looking for Pythagora, p. 65, Understanding the Pythagoean Theorem

Day 6 Paper Plate Folding

Circles Grade 6 - Covering & Surrounding, p. 74 & 77, Area of a Circle Book 1 - p. 487, Circles and Circumference

Grade 6 - Covering & Surrounding, p. 76, Pi Book 1 - p. 498, Exploring Area of a CircleGrade 6 - Covering & Surrounding, p. 86, Area of Concentric Circles Book 2 - p. 233, Circumference of a Zoetrope

Book 2 - p. 401, Area of a CircleBook 3, p. 40, Finding CircumferenceBook 3 - p. 51, Using CircumferenceBook 3 - p. 53, Diameter ExplorationBook 3 - p. 205, Bisecting Chords

Cylinders Grade 7 -Filling & Wrapping 3.1, Clyinder Investigation Book 1 - p. 498, Exploring Area of a CylinderGrade 7 -Filling & Wrapping 3.3, Finiding Surface Area of Cylinders & Prisms Book 1 - p. 502, Volume of a Cylinder

Grade 7 - Filling & Wrapping, p. 38, Cylinder Investigation Book 3 - p. 47, Prisms and Cylinders

Book 3 - p. 328, Building a RampBook 3 - p. 330, Exploring Volume of a Cylinder

Spheres Grade 7 - Filling & Wrapping 4.1, p. 49, Comparing Spheres & Cylinders Book 3 - p. 186, Radius & Volume of a Sphere

Grade 7 - Filling & Wrapping 4.3, p. 52, Comparing Volume in Spheres & Cylinders

Day 7 Measurement Quiz

Perimeter/ Area/ Volume Grade 6 - Covering and Surrounding, p. 5, Area & Permiter Investigation Book 1 - p. 454, Exploring Units for Area

Measurement and Operational Definitions Grade 6 - Covering and Surrounding, p. 10, Area Construction Book 1 - p. 466, Exploring Perimeter , Area and Volume

Grade 6 - Covering and Surrounding, p, 19, Changing Area & Perimeter Book 2 - p. 382, Areas of Polygons

Grade 6 - Covering and Surrounding, p. 22, Stretching Perimeter Book 2 - p. 389, Geometric Probability

Grade 6 - Covering and Surrounding, p. 35, Perimeter Activity Book 2 - p. 397, Surface Areas of Prismns

Grade 7 - Filling & Wrapping 2.0, p. 19, Volume & Surface Area of Boxes Book 1 - p. 479, Customary Units of Weight

Book 2 - p. 436, Volume of a PrismBook 2 - p. 439, Relationships Among Metric UnitsBook 2, p. 451, Exterior Surface AreaBook 2, p. 457, Volume of a CylinderBook 2, p. 516, Area of a TrapezoidBook 2, p. 544, Volume of a PyramidBook 2., p. 569, Volume of a ConeBook 3, p. 43, Finding VolumeBook 3, p. 69, Exploring Area and PerimeterBook 3 - p. 168, Exploring Length, Area & VolumeBook 3 - p. 319, Surface Area of CylindersBook 3 - p. 321, Surface Area & VolumeBook 3 - p. 419, Surface Area of Prisms & Pyramids

Book 3 - p. 422, Volume of Prisms, Pyramids & Cones

Geometry for Middle School Teachers - Useful Connections to CPS Textbooks

Day 8 Simlarity Grade 7 - Stretching & Shrinking 1.2, p. 7, Stretching a Figure Book 1, p. 431, Properties of Similar Figures

Ratio of Similitude Grade 7 - Stretching & Shrinking 1.2, p. 9, Comparing Similar Figures Book 2, p. 411, Scale Drawings and Similarity

Grade 7 - Stretching & Shrinking, p. 28, Scale Factors Book 2, p. 414, Unknown Measures in Similar Figures

Grade 7 - Stretching & Shrinking, p. 58, Similarity and Ratios Book 2, p. 417, Similar and Congruent Figures

Grade 7 - Streching & Shrinking 5.1, p. 79, Similar Triangles & Rectangles Book 3- p. 202, Similar Figures

Grade 7 - Stretching & Shrinking, p. 97, Sorting Similar Shapes Book 3 - p. 441, Mathematical Art

Book 3 - p. 457, Scale DrawingsBook 3 - p. 461, Creating a Model Town

Perimeter/ Area/ volume relationships Grade 7 - Filling & Wrapping 2.0, p. 19, Volume & Surface Area of Boxes Book 2, p. 540, Drawing Views & Finding Volumes

Book 2, p. 547, Volume and Surface Area

Day 9 Making Tessellations

Transformations Grade 6 - Shapes and Designs, p. 16, Tessellations Book 1- p. 127, Transformations

Grade 7 - Streching & Shrinking 3.1, p. 39, Forming Rep-tiles Book 2, p. 291, Translations

Grade 7 - Streching & Shrinking 3.3, p. 44 Rep-tile Patterns Book 2, p. 299, Transformations and Translations

Grade 8 - Kaleidoscopes, Hubcaps & Mirrors 1.1, p. 6, Reflection Symmetry Book 2, p. 565, Tessellations

Grade 8 - Kaleidoscopes, Hubcaps & Mirrors 1.2, p. 8, Rotation Symmetry Book 2, p. 575, Semi-Regular Tessellations

Grade 8- Kaleidoscopes, Hubcaps & Mirros 1.4, p. 12, Translation Symmetry Book 3 - p. 239, Fractals & Sequences

Grade 8- Kaleidoscopes, Hubcaps & Mirrors 2.4, p. 34 Thinking about Tessellations Book 3 - p. 253, Creating a Pattern

Grade 8- Kaleidoscopes, Hubcaps & Mirrors, p. 40, What Type of Transformation? Book 3 - p. 288, Drawing Tessellations

Grade 8- Kaleidoscopes, Hubcaps & Mirrors 5.1, p. 78, Transforming Coordinates Book 3 - p. 313, Creating a Pattern

Grade 8- Kaleidoscopes, Hubcaps & Mirrors, p. 96, Making Tessellations

Isometries (slides, flips and turns) Grade 6 - Shapes and Designs p. 12, Symmetries of Shape Book 1 - p. 121, Translations, Rotations & Reflections

Grade 6 - Shapes and Designs p. 50, Rotation Book 2 - p. 263, Rotations and SymmetryBook 2 - p, 266, Reflections and SymmetryBook 3 - p. 258, Rotational SymmetryBook 3 - p. 399, Isometric Drawing

Similarity Transformations Grade 8- Kaleidoscopes, Hubcaps & Mirros 2.0, p. 27, Symmetry Transformations Book 2 - p. 194, Changing Shape and Size

Day 10 Constructing Polyhedra

More 3-D Grade 7 - Filling & Wrapping 1.1, p. 5, Building Boxes Book 3 - p. 395, Cubes & Prisms

Grade 7 - Filling & Wrapping, p. 29, Invesigation 3-D Building & Volume Book 3 - p. 397, Points of View

Book 3 p. 463, Creating a Model Town

Nets and Projections Grade 7 - Filling & Wrapping 3.3, Finding Surface Area of Cylinders & Prisms Book 1 - p. 471, Building with Nets

Book 3 - p. 405, Constructing Nets

Euler's Numbers Book 3 - p. 415, Eurler & Space Figures

Extras Grade 7 - Stretching & Shrinking, p. 55, Sierpsinski Triangel Book 3 - p. 255, Sierpinski Triangle Using Circles