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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)

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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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