1. 
(912)
Ahoy! Complementary Angles 
Start
Lesson 
Teacher Page (PDF)

Solve
problems related to complementary, supplementary,
or congruent angle concepts. 

2. 

3. 
(912)
Arc Length  Horse 
Start
Lesson 
Teacher
Guide (PDF) 
This
lesson starts with examples of an arc of a circle.
Students are asked to discover examples of their
own. The definition of a circular arc and the method
used to find its length are provided along with
completed examples of solutions to problems and
plenty of practice problems. 

4. 
(912)
Area of Combined Shape  Turtle Combo 
Start
Lesson 
Teacher
Guide (PDF) 
Identify
the net (twodimensional representation) that corresponds
to a rectangular prism, cone, or cylinder. Calculate
the area of geometric shapes composed of two or
more geometric figures. 

5. 
(912)
Area of Sectors 
Start
Lesson 
Teacher
Guide (PDF) 
The
lesson begins with real life examples of sectors,
like slices of pizza. It continues with the technique
employed to find the area of a sector of a circle.
Next comes practice problems for the student to
solve followed by guided practice and an assessment
section. The vocabulary list SAY WHAT? identifies
all the key terms of this lesson for students. 

6. 
(912)
Camping with a Triangular Prism/Net 
Start
Lesson 
Teacher
guide (PDF) 
Recognize
the three dimensional figure represented by a net.
Make a net to represent a threedimensional object.
Make a threedimensional model from a net. 

7. 
(912)
Chords, Secants, Tangents: Fishy Relationships 
Start
Lesson 
Teacher
Guide (PDF) 
First,
students see illustrations identifying chords, secants
and tangents relating to circles. Students are then
given a thorough explanation of methods of measuring
segments of chords in a circle. There is immediate
problem solving with the illustrations. The same
procedure occurs for secants and tangents on circles.
Determine the length of a segment of a chord in
a circle. Determine the length of a segment of a
secant or an entire secant drawn to a circle. Determine
the length of a tangent drawn to a circle Explain
the methods used to determine the length of missing
segments. 

8. 
(912)
Determine Coordinates of TransformationsShooting
Pool 
Start
Lesson 
Teacher
Guide (PDF) 
Students
are introduced to the process of finding coordinates
of images that have been rotated, reflected, translated
or dilated. After definitions and serious pool shooting
the information is transferred from the pool table
to a coordinate grid. Students will interact with
placing on graphs coordinate points of a shape that
has gone through a transformation. Or, students
have to find the coordinates from the graph of a
transformed shape. 

9. 

10. 
(912)
Effect on Surface Area and Volume as Dimensions
Change 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on student
understanding of how surface area and volumes change
as he dimensions of a figure change. The lesson
also focuses on working with the formula for determining
surface area and volume of 3D figures. The lesson
moves deliberately through several figures and provides
needed time to determine the calculations. The student
cannot move forward in the lesson without determining
the correct answers. The lesson uses visual techniques
in leading the students to understanding how surface
area and volume are related. 

11. 
(912)
Effects of Parameters on Graphs 
Start
Lesson 
Teacher
Guide (PDF) 
Students
will be given examples of parabolas and a method
for determining the look of a graph describing a
parabola. The student will have an opportunity to
use and manipulate the quadratic formula in determining
a graph. The values of the formula will also be
determined after reading a graph. This lesson was
an Algebra lesson when first developed (from the
former standards). It then carried the standard
identifier of 3MP3PO1. Please notice its placement
now in the Geometry Strand for High School 4MH201. 

12. 
(912)
Graphing Linear Equations with 2 Variables 
Start
Lesson 
Teacher
Guide (PDF) 
Describe
a contextual situation that is depicted by a given
graph. Identify a graph that models a given realworld
situation. Sketch a graph that models a given contextual
situation. 

13. 
(912)
Graphing Quadratic Equations with a Coefficient
of One 
Start
Lesson 
Teacher
Guide (PDF) 
Students
see examples of quadratic equations. They will review
and names of the coefficients for a quadratic equation.
Students will complete a table of values and plot
the points on a coordinate graph. They will be introduced
to the axis of symmetry and the vertex for a quadratic
equation. Finally, students will solve a variety
of quadratics, which will lead to recognizing the
shape and direction of opening for a quadratic. 

14. 
(912)
Graphing Real World Situations 
Start
Lesson 
Teacher
Guide (PDF) 
This
lesson uses several different realworld situations
to instruct the student in describing graphed situations
and identifying and sketching models of a realworld
situation. Some of the situations used in the lesson
are relative to the students daily activities and
some of them extend the student's knowledge related
to other situations. The student cannot move forward
in the lesson without determining the correct answer.
English, Navajo and Spanish translations in development.
Spanish/English math dictionary: www.math2org/spanish/engspa.htm. 

15. 
(912)
Graphing Systems of EquationsZeno 
Start
Lesson 
Teacher
Guide (PDF) 
Graph
lines to determine the solution to a system of equations
in two variables and demonstrate the method. Determine
the number of solutions (None, One and Infinitely
many) from a graph of a system of equations and
explain the reasons. Determine and explain the coordinates
(if they exist) for the solution of a system of
equalities. 

16. 

17. 

18. 
(912)
More Prisms/Nets 
Start
Lesson 
Teacher
Guide (PDF) 
Classify
prisms, pyramids, cones, and cylinders by base shape
and lateral surface shape. Classify threedimensional
figures by their attributes. Classify threedimensional
solids by their configuration and properties. (e.g.,
parallelism, perpendicularity, and congruency) Make
a net to represent a threedimensional object. Make
a threedimensional model from a net. 

19. 
(912)
Planar Figures  Transformations 
Start
Lesson 
Teacher
Guide (PDF) 
The
process of transformations shows relationships between
four types of transformations and properties they
preserve. These include: collinearity, betweenness
of points, angle measure, distance and orientation.
Note the brief descriptions of each property. Students
are to be shown shapes undergoing four different
types of transformations. They are to describe the
behavior of each after observing the shapes during
and after the transformations. 

20. 
(912)
Pyramids Slant Height and Altitude 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the Pythagorean Theorem to determine the length
of the slant height and altitude of a pyramid. 

21. 
(912)
Pyramids on Parade/Nets 
Start
Lesson 
Teacher
Guide (PDF) 
Recognize
the three dimensional figure represented by a net.
Make a net to represent a threedimensional object.
Make a threedimensional model from a net. 

22. 
(912)
Pythagorean Theorem 
Start
Lesson 
Teacher
Guide (PDF) 
Prerequisite
Knowledge: Students should be familiar with finding
"squares" and square roots. Using the
Pythagorean theorem, students will find the missing
side of 3 right triangles from the given 2 measurements.
This lesson is also available with English and Spanish
narrations. 

23. 
(912)
Pythagorean Theorem with English Voice 
Start
Lesson 
Teacher
Guide (PDF) 
Prerequisite
Knowledge: Students should be familiar with finding
"squares" and square roots. Using the
Pythagorean theorem, students will find the missing
side of 3 right triangles from the given 2 measurements.
This lesson is also available with Spanish narrations. 

24. 
(912)
Pythagorean Theorem with Spanish Voice 
Start
Lesson 
Teacher
Guide (PDF) 
Prerequisite
Knowledge: Students should be familiar with finding
"squares" and square roots. Using the
Pythagorean theorem, students will find the missing
side of 3 right triangles from the given 2 measurements.
This lesson is also available with English. 

25. 
(912)
Quadratic Formula 
Start
Lesson 
Teacher
Guide (PDF) 
This
lesson takes students step by step in a tutorial
formation using the quadratic formula. The student
will see three different situations where the equations
have 2, 1, or no real solutions. Teacher should
demonstrate to students why there are 2, 1, or no
real solutions. 

26. 
(912)
Quadrilateral Bunny 
Start
Lesson 
Teacher
Guide (PDF) 
This
lesson emphasizes the properties of the quadrilaterals
in the hierarchy including parallelograms, rhombi,
rectangles, squares, kites and trapezoids. Venn
diagrams are used to show the relationship among
the figures. 

27. 
(912)
Scale Factors: Ratios and Proportions (Statue of
Liberty) 
Start
Lesson 
Teacher
Guide (PDF) 
This
lesson defines the terms Ratio and Proportion, shows
various examples of each, and defines and gives
examples of the MeansExtremes Property. Use of
the property to solve equations is illustrated,
and word problems that lead to equations that can
be set up as a proportion are shown. The student
is then guided through each type of problems, with
feedback provided to gu9ide the learning. 

28. 
(912)
Similar TrianglesApplied Problems 
Start Lesson 
Teacher
Guide (PDF) 
This
lesson defines the terms Similar Triangles and demonstrates
the use of a 5step problemsolving method to solve
word problems and applications. The method is: 1)
make a drawing of two similar triangles, 2) label
the drawing, 3) write a similarity statement, 4)
set up and 5) solve a proportion by using crossproducts. 

29. 

30. 

31. 

32. 
(912)
What is a Net? 
Start
Lesson 
Teacher
Guide (PDF) 
A
Net is a 2dimensional shape of an unfolded 3dimensional
figure. This lesson will take you through the process. 

33. 
(912)
Sketching Pyramids 
Start
Lesson 
Teacher
Guide (PDF) 
The
student is guided through the process of sketching
a pyramid using a drag and place technique. Learning
objectives: the student will be able to: 1) recognize
polygons by number of sides, 2) distinguish pyramids
from other 3dimensional shapes, 3) identify pyramids
by base shape, 4) identify attributes of a pyramid,
and 5) draw 3dimensional figures (pyramids). 

34. 
(912)
Sketching Spheres 
Start
Lesson 
Teacher
Guide (PDF) 
Draw
2dimensional and 3dimensional figures with appropriate
labels. Make a net to represent a threedimensional
object. Make a threedimensional model from a net. 

35. 
(912)
Solving Intercepted ArcsAnts in Space 
Start
Lesson 
Teacher
Guide (PDF) 
The
lesson begins with the identification and definitions
of the various types of angles formed by radii,
chords, secants and tangents and the arcs of circles
that they intercept. Example problems (with key)
followed by practice problems (with key) and an
assessment tool (with key) help students practice
and understand the concepts. 

36. 
(912)
Special Right TrianglesBumblers 
Start
Lesson 
Teacher
Guide (PDF) 
The
students will be guided through the development
of the 454590 and 306090 relationships. They
will then apply those relationships to specific
problems. Dig Deeper will develop their understanding
of more difficult problems using the relationships. 

37. 
(912)
Sphere and Its Net 
Start
Lesson 
Teacher
Guide (PDF) 
Recognize
the three dimensional figure represented by a net.
Make a net to represent a threedimensional object.
Make a threedimensional model from a net. 

38. 
(912)
Sum of Interior/Exterior Angles with Wilbur 
Start
Lesson 
Teacher
Guide (PDF) 
Students
observe that the shape of a polygon has no affect
on determining the sum of interior angles. Also
there is a method of determining the sum of the
interior angles without drawing pictures of a polygon
and its angles. Students are given opportunity for
practice determining the sum of interior angles
on polygons with few angles, such as the pentagon
and octagon, to polygons with many angles such as
the pentadecagon and hexadecagon. The content of
this lesson assists mastery of Performance Objective
4M8405, despite a different focus. 

39. 
(912)
Surface Area of Cones 
Start
Lesson 
Teacher
Guide (PDF) 
Make
a net to represent a threedimensional object. Make
a threedimensional model from a net. Calculate
the surface area of threedimensional geometric
figures. 

40. 
(912)
Surface Area of Cones with English Voice 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determine surface area of spheres.
The lesson moves deliberately through several figures
and provides needed to time to determine the calculations
(See Teacher Guide). The student cannot move forward
in the lesson without determining the correct answers. 

41. 
(912)
Surface Area of Cylinders 
Start
Lesson 
Teacher
Guide (PDF) 
Calculate
the surface area of rectangular prisms or cylinders.
Calculate the surface area of threedimensional
geometric figures. Make a net to represent a threedimensional
object. Make a threedimensional model from a net. 

42. 
(912)
Surface Area of Cylinders with English Voice 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determine surface area of cylinders.
The lesson moves deliberately through several figures
and provides needed to time to determine the calculations.
The student cannot move forward in the lesson without
determining the correct answers. This lesson is
available with Spanish narrations. 

43. 
(912)
Surface Area of Cylinders with Spanish Voice 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determine surface area of cylinders.
The lesson moves deliberately through several figures
and provides needed to time to determine the calculations.
The student cannot move forward in the lesson without
determining the correct answers. This lesson is
available with English narrations. 

44. 

45. 
(912)
Surface Area of Prisms with English Voice 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determine surface area of prisms.
The lesson moves deliberately through several figures
and provides needed to time to determine the calculations.
The student cannot move forward in the lesson without
determining the correct answers. There are English,
Navajo and Spanish narrations. Also, find Spanish/English
math dictionary: www.math2.org/spanish/engspa.htm 

46. 
(912)
Surface Area of Prisms with Navajo Voice 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determine surface area of prisms.
The lesson moves deliberately through several figures
and provides needed to time to determine the calculations.
The student cannot move forward in the lesson without
determining the correct answers. There are English,
Navajo and Spanish narrations. Also, find Spanish/English
math dictionary: www.math2.org/spanish/engspa.htm 

47. 
(912)
Surface Area of Prisms with Spanish Voice 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determine surface area of prisms.
The lesson moves deliberately through several figures
and provides needed to time to determine the calculations.
The student cannot move forward in the lesson without
determining the correct answers. There are English,
Navajo and Spanish narrations. Also, find Spanish/English
math dictionary: www.math2.org/spanish/engspa.htm 

48. 
(912)
Surface Area of Pyramids 
Start
Lesson 
Teacher
Guide (PDF) 
Make
a net to represent a threedimensional object. Calculate
the surface area of threedimensional geometric
figures. Make a threedimensional model from a net. 

49. 
(912)
Surface Area of Pyramids with English Voice 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determining surface area of
pyramids. The lesson moves deliberately through
several figures and provides needed to time to determine
the calculations. The student cannot move forward
in the lesson without determining the correct answers.
This lesson is available with English and Spanish
narrations. 

50. 
(912)
Surface Area of Pyramids with Spanish Voice 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determining surface area of
pyramids. The lesson moves deliberately through
several figures and provides needed to time to determine
the calculations. The student cannot move forward
in the lesson without determining the correct answers.
This lesson is available with English and Spanish
narrations. 

51. 
(912)
Surface Area of Spheres 
Start
Lesson 
Teacher
Guide (PDF) 
Calculate
the surface area of threedimensional geometric
figures. Make a net to represent a threedimensional
object. Make a threedimensional model from a net. 

52. 
(912)
Surface Area of Spheres with English Voice 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determine surface area of spheres.
The lesson moves deliberately through several figures
and provides needed to time to determine the calculations
(See Teacher Guide). The student cannot move forward
in the lesson without determining the correct answers.
This lesson is available with English and Spanish
narrations. 

53. 
(912)
Surface Area of Spheres with Spanish Voice 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determine surface area of spheres.
The lesson moves deliberately through several figures
and provides needed to time to determine the calculations
(See Teacher Guide). The student cannot move forward
in the lesson without determining the correct answers.
This lesson is available with English and Spanish
narrations. 

54. 
(912)
Volume of Cones 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determine surface area of cones.
The lesson moves deliberately through several figures
and provides needed time to determine the calculations.
The student cannot move forward in the lesson without
determining the correct answers. This lesson is
available with English and Spanish narrations. 

55. 
(912)
Volume of Cones/English Voice 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determine surface area of cones.
The lesson moves deliberately through several figures
and provides needed time to determine the calculations.
The student cannot move forward in the lesson without
determining the correct answers. This lesson is
available with English and Spanish narrations. 

56. 
(912)
Volume of Cones/Spanish Voice 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determine surface area of cones.
The lesson moves deliberately through several figures
and provides needed time to determine the calculations.
The student cannot move forward in the lesson without
determining the correct answers. This lesson is
available with English and Spanish narrations. 

57. 
(912)
Volume of Cylinders 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determine surface area of cylinders.
The lesson moves deliberately through several figures
and provides needed to time to determine the calculations.
The student cannot move forward in the lesson without
determining the correct answers. This lessons also
has an English narration version. 

58. 
(912)
Volume of Cylinders/English Voice 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determine surface area of cylinders.
The lesson moves deliberately through several figures
and provides needed to time to determine the calculations.
The student cannot move forward in the lesson without
determining the correct answers. 

59. 
(912)
Volume of Prisms 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determine volume of prisms.
The lesson moves deliberately through several figures
and provides needed to time to determine the calculations.
The student cannot move forward in the lesson without
determining the correct answers. This lesson is
available with English narration. 

60. 
(912)
Volume of Prisms/English Voice 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determine volume of prisms.
The lesson moves deliberately through several figures
and provides needed to time to determine the calculations.
The student cannot move forward in the lesson without
determining the correct answers. 

61. 
(912)
Volume of Pyramids 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determine volume of prisms.
The lesson moves deliberately through several figures
and provides needed to time to determine the calculations.
The student cannot move forward in the lesson without
determining the correct answers. This lesson is
available with English and Spanish narration. 

62. 
(912)
Volume of Pyramids/English Voice 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determining volume of pyramids.
The lesson moves deliberately through several figures
and provides needed to time to determine the calculations.
The student cannot move forward in the lesson without
determining the correct answers. The lesson uses
visual techniques in leading the students to understanding
how the volume of a pyramid is related to the volume
of a prism. 

63. 
(912)
Volume of Pyramids/Spanish Voice 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determining volume of pyramids.
The lesson moves deliberately through several figures
and provides needed to time to determine the calculations.
The student cannot move forward in the lesson without
determining the correct answers. The lesson uses
visual techniques in leading the students to understanding
how the volume of a pyramid is related to the volume
of a prism. This lesson is available with English
narration. 

64. 
(912)
Volume of Spheres 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determine surface area of spheres.
The lesson moves deliberately through several figures
and provides needed to time to determine the calculations.
The student cannot move forward in the lesson without
determining the correct answers. This lesson is
available with English and Spanish narrations. 

65. 
(912)
Volume of Spheres/English Voice 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determine surface area of spheres.
The lesson moves deliberately through several figures
and provides needed to time to determine the calculations.
The student cannot move forward in the lesson without
determining the correct answers. This lesson is
available with English and Spanish narrations. 

66. 
(912)
Volume of Spheres/Spanish Voice 
Start
Lesson 
Teacher
Guide (PDF) 
This
is a stepbystep process lesson focusing on working
with the formula for determine surface area of spheres.
The lesson moves deliberately through several figures
and provides needed to time to determine the calculations.
The student cannot move forward in the lesson without
determining the correct answers. This lesson is
available with English and Spanish narrations. 
