MathActive Lessons
             for Grades 9-12

1.
(9-12) Ahoy! Complementary Angles
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Teacher Page (PDF)
Solve problems related to complementary, supplementary, or congruent angle concepts.
2.
(9-12) Angle-Side Relationships
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Teacher Guide (PDF)
Solve contextual situations using angle and side length relationships.
3.
(9-12) Arc Length - Horse
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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.
(9-12) Area of Combined Shape - Turtle Combo
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Teacher Guide (PDF)
Identify the net (two-dimensional representation) that corresponds to a rectangular prism, cone, or cylinder. Calculate the area of geometric shapes composed of two or more geometric figures.
5.
(9-12) Area of Sectors
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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.
(9-12) Camping with a Triangular Prism/Net
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Teacher guide (PDF)
Recognize the three dimensional figure represented by a net. Make a net to represent a three-dimensional object. Make a three-dimensional model from a net.
7.
(9-12) Chords, Secants, Tangents: Fishy Relationships
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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.
(9-12) Determine Coordinates of Transformations-Shooting Pool
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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.
(9-12) Distance Formula
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Teacher Guide (PDF)
Determine the distance between two points in the coordinate system.
10.
(9-12) Effect on Surface Area and Volume as Dimensions Change
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Teacher Guide (PDF)
This is a step-by-step 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 3-D 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.
(9-12) Effects of Parameters on Graphs
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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 3MP3-PO1. Please notice its placement now in the Geometry Strand for High School 4MH2-01.
12.
(9-12) Graphing Linear Equations with 2 Variables
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Teacher Guide (PDF)
Describe a contextual situation that is depicted by a given graph. Identify a graph that models a given real-world situation. Sketch a graph that models a given contextual situation.
13.
(9-12) Graphing Quadratic Equations with a Coefficient of One
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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.
(9-12) Graphing Real World Situations
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Teacher Guide (PDF)
This lesson uses several different real-world situations to instruct the student in describing graphed situations and identifying and sketching models of a real-world 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/eng-spa.htm.
15.
(9-12) Graphing Systems of Equations-Zeno
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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.
(9-12) Midpoint Formula in the Coordinate System
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Teacher Guide (PDF)
Determine the midpoint between two points in a coordinate system.
17.
(9-12) Minimum and Maximum of a Graph
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Teacher Guide (PDF)
Two semi-related topics are presented maximum and minimum with Domain and Range.
18.
(9-12) More Prisms/Nets
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Teacher Guide (PDF)
Classify prisms, pyramids, cones, and cylinders by base shape and lateral surface shape. Classify three-dimensional figures by their attributes. Classify three-dimensional solids by their configuration and properties. (e.g., parallelism, perpendicularity, and congruency) Make a net to represent a three-dimensional object. Make a three-dimensional model from a net.
19.
(9-12) Planar Figures -- Transformations
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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.
(9-12) Pyramids Slant Height and Altitude
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Teacher Guide (PDF)
This is a step-by-step process lesson focusing on working with the Pythagorean Theorem to determine the length of the slant height and altitude of a pyramid.
21.
(9-12) Pyramids on Parade/Nets
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Teacher Guide (PDF)
Recognize the three dimensional figure represented by a net. Make a net to represent a three-dimensional object. Make a three-dimensional model from a net.
22.
(9-12) Pythagorean Theorem
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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.
(9-12) Pythagorean Theorem with English Voice
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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.
(9-12) Pythagorean Theorem with Spanish Voice
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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.
(9-12) Quadratic Formula
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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.
(9-12) Quadrilateral Bunny
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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.
(9-12) Scale Factors: Ratios and Proportions (Statue of Liberty)
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Teacher Guide (PDF)
This lesson defines the terms Ratio and Proportion, shows various examples of each, and defines and gives examples of the Means-Extremes 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.
(9-12) Similar Triangles-Applied Problems
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Teacher Guide (PDF)
This lesson defines the terms Similar Triangles and demonstrates the use of a 5-step problem-solving 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 cross-products.
29.
(9-12) Sketching Cones
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Teacher Guide (PDF)
Draw 2-dimensional and 3-dimensional figures with appropriate labels.
30.
(9-12) Sketching Cylinders
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Teacher Guide (PDF)
Draw 2-dimensional and 3-dimensional figures with appropriate labels.
31.
(9-12) Sketching Prisms
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Teacher Guide (PDF)
Draw 2-dimensional and 3-dimensional figures with appropriate labels.
32.
(9-12) What is a Net?
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Teacher Guide (PDF)
A Net is a 2-dimensional shape of an unfolded 3-dimensional figure. This lesson will take you through the process.
33.
(9-12) Sketching Pyramids
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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 3-dimensional shapes, 3) identify pyramids by base shape, 4) identify attributes of a pyramid, and 5) draw 3-dimensional figures (pyramids).
34.
(9-12) Sketching Spheres
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Teacher Guide (PDF)
Draw 2-dimensional and 3-dimensional figures with appropriate labels. Make a net to represent a three-dimensional object. Make a three-dimensional model from a net.
35.
(9-12) Solving Intercepted Arcs-Ants in Space
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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.
(9-12) Special Right Triangles-Bumblers
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Teacher Guide (PDF)
The students will be guided through the development of the 45-45-90 and 30-60-90 relationships. They will then apply those relationships to specific problems. Dig Deeper will develop their understanding of more difficult problems using the relationships.
37.
(9-12) Sphere and Its Net
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Teacher Guide (PDF)
Recognize the three dimensional figure represented by a net. Make a net to represent a three-dimensional object. Make a three-dimensional model from a net.
38.
(9-12) Sum of Interior/Exterior Angles with Wilbur
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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 4M84-05, despite a different focus.
39.
(9-12) Surface Area of Cones
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Teacher Guide (PDF)
Make a net to represent a three-dimensional object. Make a three-dimensional model from a net. Calculate the surface area of three-dimensional geometric figures.
40.
(9-12) Surface Area of Cones with English Voice
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Teacher Guide (PDF)
This is a step-by-step 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.
(9-12) Surface Area of Cylinders
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Teacher Guide (PDF)
Calculate the surface area of rectangular prisms or cylinders. Calculate the surface area of three-dimensional geometric figures. Make a net to represent a three-dimensional object. Make a three-dimensional model from a net.
42.
(9-12) Surface Area of Cylinders with English Voice
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Teacher Guide (PDF)
This is a step-by-step 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.
(9-12) Surface Area of Cylinders with Spanish Voice
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Teacher Guide (PDF)
This is a step-by-step 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.
(9-12) Surface Area of Prisms
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Teacher Guide (PDF)
Calculate the surface area of three-dimensional geometric figures.
45.
(9-12) Surface Area of Prisms with English Voice
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Teacher Guide (PDF)
This is a step-by-step 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/eng-spa.htm
46.
(9-12) Surface Area of Prisms with Navajo Voice
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Teacher Guide (PDF)
This is a step-by-step 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/eng-spa.htm
47.
(9-12) Surface Area of Prisms with Spanish Voice
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Teacher Guide (PDF)
This is a step-by-step 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/eng-spa.htm
48.
(9-12) Surface Area of Pyramids
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Teacher Guide (PDF)
Make a net to represent a three-dimensional object. Calculate the surface area of three-dimensional geometric figures. Make a three-dimensional model from a net.
49.
(9-12) Surface Area of Pyramids with English Voice
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Teacher Guide (PDF)
This is a step-by-step 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.
(9-12) Surface Area of Pyramids with Spanish Voice
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Teacher Guide (PDF)
This is a step-by-step 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.
(9-12) Surface Area of Spheres
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Teacher Guide (PDF)
Calculate the surface area of three-dimensional geometric figures. Make a net to represent a three-dimensional object. Make a three-dimensional model from a net.
52.
(9-12) Surface Area of Spheres with English Voice
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Teacher Guide (PDF)
This is a step-by-step 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.
(9-12) Surface Area of Spheres with Spanish Voice
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Teacher Guide (PDF)
This is a step-by-step 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.
(9-12) Volume of Cones
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Teacher Guide (PDF)
This is a step-by-step 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.
(9-12) Volume of Cones/English Voice
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Teacher Guide (PDF)
This is a step-by-step 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.
(9-12) Volume of Cones/Spanish Voice
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Teacher Guide (PDF)
This is a step-by-step 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.
(9-12) Volume of Cylinders
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Teacher Guide (PDF)
This is a step-by-step 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.
(9-12) Volume of Cylinders/English Voice
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Teacher Guide (PDF)
This is a step-by-step 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.
(9-12) Volume of Prisms
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Teacher Guide (PDF)
This is a step-by-step 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.
(9-12) Volume of Prisms/English Voice
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Teacher Guide (PDF)
This is a step-by-step 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.
(9-12) Volume of Pyramids
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Teacher Guide (PDF)
This is a step-by-step 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.
(9-12) Volume of Pyramids/English Voice
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Teacher Guide (PDF)
This is a step-by-step 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.
(9-12) Volume of Pyramids/Spanish Voice
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Teacher Guide (PDF)
This is a step-by-step 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.
(9-12) Volume of Spheres
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Teacher Guide (PDF)
This is a step-by-step 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.
(9-12) Volume of Spheres/English Voice
Start Lesson
Teacher Guide (PDF)
This is a step-by-step 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.
(9-12) Volume of Spheres/Spanish Voice
Start Lesson
Teacher Guide (PDF)
This is a step-by-step 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.