# RightStart Mathematics: A Hands-On Geometric Approach

## by Joan A. Cotter, Ph. D. Author

"An innovative approach for teaching many middle school mathematics topics, including perimeter, area, volume, metric system, decimals, rounding numbers, ratio and proportion. The student is also introduced to traditional geometric concepts: parallel lines, angles, midpoints, triangle congruence, Phythagorean theorem, and fractals. In this program the student does not write out proofs, although an organized logical approach is expected. . . .This text was written with several goals for the student: a)to use mathematics previously learned, b) to learn to read math tets, c) to lay a good foundation for more advanced mathematics, d) to discover mathematics everywhere, and e) to enjoy mathematics." -Joan A. Cotter, Ph.D. (taken from inside unnumbered page)

### Additional Details

- Resource Type
- Lesson Book
- ISBN
- 9781931980166
- Print Status
- In Print
- Lessons
- 167
- Pages
- 196
- Publisher
- Activities for Learning, Inc.
- Copyright
- 2004
- URL
- http://www.alabacus.com/

### Lessons

- 1 Getting Started
- 2 Drawing Diagonals
- 3 Drawing Stars
- 4 Equilateral Triangles into Halves
- 5 Equilateral Triangle into Sixths and Thirds
- 6 Equilateral Tringles into Fourths and Eighths
- 7 Equilateral Triangles into Ninths
- 8 Hexagrams and Solomon's Seal
- 9 Equilateral Triangles into Twelfths
- 10 Measuring Perimeter in Centimeters
- 11 Drawing Parallelograms in Centimeters
- 12 Measuring Perimeter in Inches
- 13 Drawing Parallelograms in Inches
- 14 Drawing Rectangles
- 15 Drawing Rhombuses
- 16 Drawing Squares
- 17 Classifying Quadrilaterals
- 18 The Fraction Chart
- 19 Patterns in Fractions
- 20 Measuring with Sixteenths
- 21 A Fraction of Geometry Figures
- 22 Making the Whole
- 23 Ratios and Nested Squares
- 24 Square Centimeters
- 25 Square Inches
- 26 Area of a Rectangle
- 27 Comparing Areas of Rectangles
- 28 Product of a Number and two More
- 29 Area of Consecutive Squares
- 30 Perimeter Formula for Rectangles
- 31 Area of a Parallelogram
- 32 Comparign Calculated Areas of Parallelograms
- 33 Area of a Triangle
- 34 Comparing Calculated Areas of Triangles
- 35 Converting Inches to Centimeters
- 36 Name that Figure
- 37 Finding the Areas of More Triangles
- 38 Area of Trapezoids
- 39 Area of Hexagons
- 40 Area of Octagons
- 41 Ratio of Areas
- 42 Measuring Angles
- 43 Supplementary and Vertical Angles
- 44 Measure of the Angles in a Polygon
- 45 Classifying Triangles by Sides and Angles (First Quarter test)
- 46 External Angles of a Triangle
- 47 Angles Formed With Parallel Lines
- 48 Triangles With Congruent Sides (SSS)
- 49 Other Congruent Triangles (SAS, ASA)
- 50 Side and Angle Relationships in Triangles
- 51 Medians in Triangles
- 52 More about Medians in Triangles
- 53 Midpoints in a Triangle
- 54 Rectangles Inscribed in a Triangle
- 55 Connecting Midpoints in a Quadrilateral
- 56 Introducing the Pythagorean Theorem
- 57 Squares on Right Triangles
- 58 Proofs of the Pythagorean Theorem
- 59 Finding Square Roots
- 60 More Right Angle Problems
- 61 The Square Root Spiral
- 62 Circle Basics
- 63 Ratio of Circumference to Diameter
- 64 Inscribed Polygons
- 65 Tangents to Circles
- 66 Circumscribed Polygons
- 67 Pi, a Special Number
- 68 Circle Designs
- 69 Rounding Edges With Tangents
- 70 Tangent Circles
- 71 Bisecting Angles
- 72 Perpendicular Bisectors
- 73 The Amazing Nine-Point Circle
- 74 Drawing Arcs
- 75 Angles 'n Arcs
- 76 Arc Length
- 77 Area of a Circle
- 78 Finding the Area of a Circle
- 79 Finding More Area
- 80 Pizza Problems
- 81 Revisiting Tangrams
- 82 Aligning Objects
- 83 Reflecting
- 84 Rotating
- 85 Making Wheel Designs
- 2QT Second Quarter Test
- 86 Identifying Reflections & Rotations
- 87 Translations
- 88 Transformations
- 89 Double Reflections
- 90 Finding the Line of Reflection
- 91 Finding the Center of Rotation
- 92 More Double Reflections
- 93 Angles of Incidence and Reflection
- 94 Lines of Symmetry
- 95 Rotation Symmetry
- 96 Symmetry Connections
- 97 Frieze Patterns
- 98 Introduction to Tessellations
- 99 Two Pentagon Tessellations
- 100 Regular Tessellations
- 101 Semi regular Tessellations
- 102 Demi regular Tessellations
- 103 Pattern Units
- 104 Dual Tessellations
- 105 Tartan Plaids
- 106 Tessellating Triangles
- 107 Tessellating Quadrilaterals
- 108 Escher Tessellations
- 109 Tessellation Summary & Mondrian Art
- 110 Box Fractal
- 111 Sierpinski Triangle
- 112 Koch Snowflake
- 113 Cotter Tens Fractal
- 114 Similar Triangles
- 115 Fractions on the Multiplication Table
- 116 Cross Multiplying on the Multiplication Table
- 117 Measuring Heights
- 118 Golden Ratio
- 119 More Golden Goodies
- 120 Fibonacci Sequence
- 121 Fibonacci Numbers and Phi
- 122 Golden Ratios and Other Ratios Around Us
- 123 Napoleon's Theorem
- 124 Pick's Theorem
- 125 Pick's Theorem With the Stomachion
- 126 Pick's Theorem and Pythagorean Theorem
- 127 Estimating Area With Pick's Theorem
- 128 Distance Formula
- 129 Euler Paths
- 130 Using Ratios to Find Sides of Triangles
- 131 Basic Trigonometry
- 132 Solving Trig Problems
- 133 Comparing Calculators
- 134 Solving Problems With a Scientific Calculator
- 135 Angle of Elevation
- 136 More Angle Problems
- 137 Introduction to Sine Waves
- 138 Solids and Polyhedrons
- 139 Nets of Cubes
- 140 Volume of Cubes
- 141 Volume of Boxes
- 142 Volume of Prisms
- 143 Diagonals in a Rectangular Prism
- 144 Cylinders
- 145 Cones
- 146 Pyramids
- 147 Polygons 'n Polyhedrons
- 148 Tetrahedron in a Cube
- 149 Platonic Solids
- 150 Views of the Platonic Solids
- 151 Duals of the Platonic Solids
- 152 Surface Area and Volume of Spheres
- 153 Plane symmetry in Polyhedra
- 154 Rotating Symmetry in Polyhedra
- 155 Circumscribed Platonic Solids
- 156 Cubes in a Dodecahedron
- 157 Stella Octangula
- 158 Truncated Tetrahedra
- 159 Truncated Octahedron
- 160 Truncated Isocahedron
- 161 Cuboctahedron
- 162 Rhombicuboctahedron
- 163 Icosidodecahedron
- 164 Snub Polyhedra
- 165 Archimedean Solids
- 166 Final Test

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