MathActive Lessons
             for Grades 5-6

1.
(5-6) 2-D and 3-D Presents at Pedro's Party
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Teacher Page (PDF)
Students will learn that a certain group of objects can be organized in 2-D or 3-D groupings. Then the correct terminology of the properties of those objects will be introduced. Students have to label objects, group objects and organize a group of objects according to property categories. Students will encounter standard 4M81-02 in the DIG DEEPER section of the lesson and should be able to explain these concepts from the drawings.
2.
(5-6) 3 Lines of Symmetry
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Teacher Guide (PDF)
Draw a two-dimensional shape that has line symmetry. Identify the lines of symmetry in a two-dimensional shape. Draw a two-dimensional shape with a given number of lines of symmetry.
3.
(5-6) 3-D Figures Part 1
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Teacher Guide (PDF)
Identify the properties of two- and three- dimensional geometric figures using appropriate terminology and vocabulary. Classify three-dimensional figures by their attributes. Classify three-dimensional solids by their configuration and properties. (e.g., parallelism, perpendicularity, and congruency)
4.
(5-6) 3-D Figures Part 2
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Teacher Guide (PDF)
Identify the properties of two- and three- dimensional geometric figures using appropriate terminology and vocabulary. Classify three-dimensional figures by their attributes. Classify three-dimensional solids by their configuration and properties. (e.g., parallelism, perpendicularity, and congruency)
5.
(5-6) Acute Triangles with English Voice
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Teacher Guide (PDF)
First it is established that triangles have sides and are measured by interior angles. They belong to categories based on that. The acute triangle is defined, illustrated and explained. There are many exercises helping students remember the attributes of Acute triangles as distinguishable from other triangles. Students will use an interactive protractor for practice to correctly measure interior angles to distinguish acute triangles from others. Note: The SAY WHAT? and DIG DEEPER sections provide tremendous examples of appropriate labeling of sides and angles of triangles, helpful in mastering the 4M41-03 and 4M61-06 Performance Objectives.
6.
(5-6) Acute Triangles with Navajo Voice
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Teacher Guide (PDF)
First it is established that triangles have sides and are measured by interior angles. They belong to categories based on that. The acute triangle is defined, illustrated and explained. There are many exercises helping students remember the attributes of acute triangles as distinguishable from other triangles. Students will use an interactive protractor for practice to correctly measure interior angles to distinguish acute triangles from others. Note: The SAY WHAT? and DIG DEEPER sections provide tremendous examples of appropriate labeling of sides and angles of triangles, helpful in mastering the 4M41-03 and 4M61-06 Performance Objectives.
7.
(5-6) Acute Triangles
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Teacher Guide (PDF)
Perimeter and solving for it are explained. Formulas for rectangles and squares are given and modeled: students practice solving for perimeter. Then, solving perimeter for equilateral triangles is modeled with a formula. Students drag given formulas for rectangles, squares and equilateral triangles to the shapes they would use for solving perimeter (TRYII). In R-R 3, area and solving for it are explained. Formulas are given for rectangles and squares (LOOK, SEE). Students then practice solving for area (TRYIII). Rancher Rithmetic I and II focus on "perimeter" as No. III is directed towards "area". Both concepts are mixed throughout in the right buttons.
8.
(5-6) Acute Triangles with Spanish Voice
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Teacher Guide (PDF)
First it is established that triangles have sides and are measured by interior angles. They belong to categories based on that. The acute triangle is defined, illustrated and explained. There are many exercises helping students remember the attributes of acute triangles as distinguishable from other triangles. Students will use an interactive protractor for practice to correctly measure interior angles to distinguish acute triangles from others. Note: The SAY WHAT? and DIG DEEPER sections provide tremendous examples of appropriate labeling of sides and angles of triangles, helpful in mastering the 4M41-03 and 4M61-06 Performance Objectives.
9.
(5-6) Angle Hypatia
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Teacher Guide (PDF)
Identify supplementary or complementary angles. Identify the angles created by two lines and a transversal.
10.
(5-6) Angle Hypatia with English Voice
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Teacher Guide (PDF)
Students are introduced to Hypatia, the Greek mathematician, complementary, supplementary and corresponding angles, and transversal. Students will calculate angle relationships practicing the identification tag of 180 (supplementary) and 90 degrees (complementary).
11.
(5-6) Area - Rancher 'Rithmetic 3
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Teacher Guide (PDF)
Examples (and formulas) for solving simple area and perimeter of given shapes are explained, modeled and available for practice. Students help ranchers calculate the amount of barbed wire needed to keep cattle on their property (perimeter -TRYIII), calculate the amount of fertilizer ranchers need by solving area of their land (area -TRYIII), and answer questions about perimeter and area with given shapes/ information (SHOWII). The Rancher lessons have English, Navajo and Spanish narrations and scripts.
12.
(5-6) Area - Rancher 'Rithmetic 3 with English Voice
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Teacher Guide (PDF)
Examples (and formulas) for solving simple area and perimeter of given shapes are explained, modeled and available for practice. Students help ranchers calculate the amount of barbed wire needed to keep cattle on their property (perimeter -TRYIII), calculate the amount of fertilizer ranchers need by solving area of their land (area -TRYIII), and answer questions about perimeter and area with given shapes/ information (SHOWII). The Rancher lessons have English, Navajo and Spanish narrations and scripts.
13.
(5-6) Area - Rancher 'Rithmetic 3 with Navajo Voice
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Teacher Guide (PDF)
Examples (and formulas) for solving simple area and perimeter of given shapes are explained, modeled and available for practice. Students help ranchers calculate the amount of barbed wire needed to keep cattle on their property (perimeter -TRYIII), calculate the amount of fertilizer ranchers need by solving area of their land (area -TRYIII), and answer questions about perimeter and area with given shapes/ information (SHOWII). The Rancher lessons have English, Navajo and Spanish narrations and scripts.
14.
(5-6) Area - Rancher 'Rithmetic 3 with Spanish Voice
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Teacher Guide (PDF)
Examples (and formulas) for solving simple area and perimeter of given shapes are explained, modeled and available for practice. Students help ranchers calculate the amount of barbed wire needed to keep cattle on their property (perimeter -TRYIII), calculate the amount of fertilizer ranchers need by solving area of their land (area -TRYIII), and answer questions about perimeter and area with given shapes/ information (SHOWII). The Rancher lessons have English, Navajo and Spanish narrations and scripts.
15.
(5-6) Building Rectangles
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Teacher Guide (PDF)
Draw two-dimensional figures by applying significant properties of each. (e.g., Draw a quadrilateral with two sets of parallel sides and four right angles)
16.
(5-6) Classify Prisms
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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)
17.
(5-6) Classify Pyramids
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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)
18.
(5-6) Coordinate Geometry
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Teacher Guide (PDF)
Identify points in the first quadrant of a grid using ordered pairs. Name the coordinates of a point plotted in the first quadrant. Graph points in the first quadrant on a grid using ordered pair. State the missing coordinate of a figure in the first quadrant of a coordinate grid using geometric properties. (e.g. find the coordinates of the missing vertex of a rectangle when two adjacent sides are drawn) Graph a polygon in the first quadrant using ordered pair. Graph data points in (x,y) form in any quadrant of a coordinate grid.
19.
(5-6) Draw Shapes with Rikki
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Teacher Guide (PDF)
Draw two-dimensional figures by applying significant properties of each. (e.g., Draw a quadrilateral with two sets of parallel sides and four right angles)
20.
(5-6) Equilateral Triangles
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Teacher Guide (PDF)
Classify triangles ad scalene, isosceles, or equilateral. Identify the properties of two- and three- dimensional geometric figures using appropriate terminology and vocabulary.
21.
(5-6) Facial Symmetry
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Teacher Guide (PDF)
Draw a two-dimensional shape that has line symmetry. Identify the lines of symmetry in a two-dimensional shape. Draw a two-dimensional shape with a given number of lines of symmetry.
22.
(5-6) Figure It Out-Polygons
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Teacher Guide (PDF)
Classify polygons by their attributes. (e.g., number of sides, length of sides, angles, parallelism, perpendicularity)
23.
(5-6) Finding Patterns in Tiles
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Teacher Guide (PDF)
This is not only a good review of area and perimeter but extends that into useful activities of prediction, establishing and measuring by units, using formulas, and finding that charts help you create patterns in mathematics. "N" as a variable is briefly used in the SEE section. The DIG DEEPER section extends this concept.
24.
(5-6) Hogan
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Teacher Guide (PDF)
Identify the properties of two dimensional figures using appropriate terminology. Recognize regular polygons. Identify the properties of two- and three- dimensional geometric figures using appropriate terminology and vocabulary. Identify the lines of symmetry in a two-dimensional shape. Classify polygons by their attributes. (e.g., number of sides, length of sides, angles, parallelism, perpendicularity) Classify three-dimensional figures by their attributes. Classify three-dimensional solids by their configuration and properties. (e.g., parallelism, perpendicularity, and congruency)
25.
(5-6) Hogan (Navajo Version)
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Teacher Guide (PDF)
Identify the properties of two dimensional figures using appropriate terminology. Recognize regular polygons. Identify the properties of two- and three- dimensional geometric figures using appropriate terminology and vocabulary. Identify the lines of symmetry in a two-dimensional shape. Classify polygons by their attributes. (e.g., number of sides, length of sides, angles, parallelism, perpendicularity) Classify three-dimensional figures by their attributes. Classify three-dimensional solids by their configuration and properties. (e.g., parallelism, perpendicularity, and congruency)
26.
(5-6) Hogan with English Voice
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Teacher Guide (PDF)
Identify the properties of two dimensional figures using appropriate terminology. Recognize regular polygons. Identify the properties of two- and three- dimensional geometric figures using appropriate terminology and vocabulary. Identify the lines of symmetry in a two-dimensional shape. Classify polygons by their attributes. (e.g., number of sides, length of sides, angles, parallelism, perpendicularity) Classify three-dimensional figures by their attributes. Classify three-dimensional solids by their configuration and properties. (e.g., parallelism, perpendicularity, and congruency)
27.
(5-6) Hogan with Navajo Voice
Start Lesson
Teacher Guide (PDF)
Identify the properties of two dimensional figures using appropriate terminology. Recognize regular polygons. Identify the properties of two- and three- dimensional geometric figures using appropriate terminology and vocabulary. Identify the lines of symmetry in a two-dimensional shape. Classify polygons by their attributes. (e.g., number of sides, length of sides, angles, parallelism, perpendicularity) Classify three-dimensional figures by their attributes. Classify three-dimensional solids by their configuration and properties. (e.g., parallelism, perpendicularity, and congruency)
28.
(5-6) Hogan with Spanish Voice
Start Lesson
Teacher Guide (PDF)
Identify the properties of two dimensional figures using appropriate terminology. Recognize regular polygons. Identify the properties of two- and three- dimensional geometric figures using appropriate terminology and vocabulary. Identify the lines of symmetry in a two-dimensional shape. Classify polygons by their attributes. (e.g., number of sides, length of sides, angles, parallelism, perpendicularity) Classify three-dimensional figures by their attributes. Classify three-dimensional solids by their configuration and properties. (e.g., parallelism, perpendicularity, and congruency)
29.
(5-6) Isosceles Triangles
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Teacher Guide (PDF)
Identify the properties of two- and three- dimensional geometric figures using appropriate terminology and vocabulary. Classify triangles ad scalene, isosceles, or equilateral.
30.
(5-6) Isosceles Triangles with English Voice
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Teacher Guide (PDF)
Identify the properties of two and three dimensional geometric figures using appropriate terminology and vocabulary. Classify triangles ad scalene, isosceles, or equilateral.
31.
(5-6) Isosceles Triangles with Navajo Voice
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Teacher Guide (PDF)
Identify the properties of two and three dimensional geometric figures using appropriate terminology and vocabulary. Classify triangles ad scalene, isosceles, or equilateral.
32.
(5-6) Isosceles Triangles with Spanish Voice
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Teacher Guide (PDF)
Identify the properties of two and three dimensional geometric figures using appropriate terminology and vocabulary. Classify triangles ad scalene, isosceles, or equilateral.
33.
(5-6) More Protractors - Angle Action Part 2
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Teacher Guide (PDF)
Measure angles using a protractor. Identify the angles created by two lines and a transversal.
34.
(5-6) More with Perimeter - Rancher 'Rithmetic 2
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Teacher Guide (PDF)
Examples (and formulas) for solving simple area and perimeter of given shapes are explained, modeled and available for practice. Students help ranchers calculate the amount of barbed wire needed to keep cattle on their property (perimeter TRYIII), calculate the amount of fertilizer ranchers need by solving area of their land (area TRYIII), and answer questions about perimeter and area with given shapes/ information (SHOWII). The Rancher lessons have English, Navajo and Spanish narrations and scripts.
35.
(5-6) More with Perimeter - Rancher 'Rithmetic 2 with English Voice
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Teacher Guide (PDF)
Examples (and formulas) for solving simple area and perimeter of given shapes are explained, modeled and available for practice. Students help ranchers calculate the amount of barbed wire needed to keep cattle on their property (perimeter -TRYIII), calculate the amount of fertilizer ranchers need by solving area of their land (area -TRYIII), and answer questions about perimeter and area with given shapes/ information (SHOWII). The Rancher lessons have English, Navajo and Spanish narrations and scripts.
36.
(5-6) More with Perimeter - Rancher 'Rithmetic 2 with Navajo Voice
Start Lesson
Teacher Guide (PDF)
Examples (and formulas) for solving simple area and perimeter of given shapes are explained, modeled and available for practice. Students help ranchers calculate the amount of barbed wire needed to keep cattle on their property (perimeter -TRYIII), calculate the amount of fertilizer ranchers need by solving area of their land (area -TRYIII), and answer questions about perimeter and area with given shapes/ information (SHOWII). The Rancher lessons have English, Navajo and Spanish narrations and scripts.
37.
(5-6) More with Perimeter - Rancher 'Rithmetic 2 with Spanish Voice
Start Lesson
Teacher Guide (PDF)
Examples (and formulas) for solving simple area and perimeter of given shapes are explained, modeled and available for practice. Students help ranchers calculate the amount of barbed wire needed to keep cattle on their property (perimeter -TRYIII), calculate the amount of fertilizer ranchers need by solving area of their land (area -TRYIII), and answer questions about perimeter and area with given shapes/ information (SHOWII). The Rancher lessons have English, Navajo and Spanish narrations and scripts.
38.
(5-6) Obtuse Triangles
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Teacher Guide (PDF)
Classify triangles as right, acute, or obtuse. Classify polygons by their attributes. (e.g., number of sides, length of sides, angles, parallelism, perpendicularity)
39.
(5-6) Parallel Lines
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Teacher Guide (PDF)
Draw a geometric figure showing specified properties, such as parallelism and perpendicularity.
40.
(5-6) Parallel Lines with English Voice
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Teacher Guide (PDF)
Students will learn to identify parallel and perpendicular lines and give or construct examples of both in these two lessons. Both lessons also have English, Navajo and Spanish narration and scripts. The Internet game in TALK ABOUT IT is challenging.
41.
(5-6) Parallel Lines with Navajo Voice
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Teacher Guide (PDF)
Students will learn to identify parallel and perpendicular lines and give or construct examples of both in these two lessons. Both lessons also have English, Navajo and Spanish narration and scripts. The Internet game in TALK ABOUT IT is challenging.
42.
(5-6) Parallel Lines with Spanish Voice
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Teacher Guide (PDF)
Students will learn to identify parallel and perpendicular lines and give or construct examples of both in these two lessons. Both lessons also have English, Navajo and Spanish narration and scripts. The Internet game in TALK ABOUT IT is challenging.
43.
(5-6) Perimeter Rancher 'Rithmetic 1
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Teacher Guide (PDF)
Solve problems involving the perimeter of polygons.
44.
(5-6) Perimeter Rancher 'Rithmetic 1/English Voice
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Teacher Guide (PDF)
Solve problems involving the perimeter of polygons.
45.
(5-6) Perimeter Rancher 'Rithmetic 1/Navajo Voice
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Teacher Guide (PDF)
Solve problems involving the perimeter of polygons.
46.
(5-6) Perimeter Rancher 'Rithmetic 1/Spanish Voice
Start Lesson
Teacher Guide (PDF)
Solve problems involving the perimeter of polygons.
47.
(5-6) Perimeter of Polygons - Getting Into Shape
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Teacher Guide (PDF)
Determine perimeter of simple polygons. (e.g., square, rectangle, triangle) Solve problems involving perimeter convex polygons. Solve problems involving the perimeter of polygons. Identify parallelograms having the same perimeter or area.
48.
(5-6) Perpendicular Lines
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Teacher Guide (PDF)
Draw a geometric figure showing specified properties, such as parallelism and perpendicularity.
49.
(5-6) Perpendicular Lines/English Voice
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Teacher Guide (PDF)
Draw a geometric figure showing specified properties, such as parallelism and perpendicularity.
50.
(5-6) Perpendicular Lines/Navajo Voice
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Teacher Guide (PDF)
Draw a geometric figure showing specified properties, such as parallelism and perpendicularity.
51.
(5-6) Perpendicular Lines/Spanish Voice
Start Lesson
Teacher Guide (PDF)
Draw a geometric figure showing specified properties, such as parallelism and perpendicularity.
52.
(5-6) Regular Polygons
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Teacher Guide (PDF)
Recognize regular polygons.
53.
(5-6) Right Triangles
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Teacher Guide (PDF)
Classify triangles as right, acute, or obtuse. Classify polygons by their attributes. (e.g., number of sides, length of sides, angles, parallelism, perpendicularity)
54.
(5-6) Scalene Triangles
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Teacher Guide (PDF)
Identify the properties of two- and three- dimensional geometric figures using appropriate terminology and vocabulary. Classify triangles ad scalene, isosceles, or equilateral.
55.
(5-6) Similar Situations
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Teacher Guide (PDF)
It's important to know how lines and shapes are used in the world. Similar is defined and described. Parallel and perpendicular lines are defined and described, including the terms right angle and intersect. Exercises help students practice these concepts.
56.
(5-6) Tessellations
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Teacher Guide (PDF)
Identify a tessellation. Describe the transformations that created a tessellation. Perform elementary transformations to create a tessellation.
57.
(5-6) Transformations - Shapes on the Move
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Teacher Guide (PDF)
Students see objects turn, slide and flip many times to illustrate rotation, translation and reflection transformations. They must learn to distinguish the pairs of words that describe the action to be able to demonstrate understanding. They are given many opportunities to practice selecting the correct action, plus the correct terms. The DIG DEEPER section shows a translation on a coordinate grid moved by specified units and direction. This lesson also has English, Navajo and Spanish narrations and scripts.
58.
(5-6) Transformations - Shapes on the Move/English Voice
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Teacher Guide (PDF)
Students see objects turn, slide and flip many times to illustrate rotation, translation and reflection transformations. They must learn to distinguish the pairs of words that describe the action to be able to demonstrate understanding. They are given many opportunities to practice selecting the correct action, plus the correct terms. The DIG DEEPER section shows a translation on a coordinate grid moved by specified units and direction. This lesson also has English, Navajo and Spanish narrations and scripts.
59.
(5-6) Transformations - Shapes on the Move/Navajo Voice
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Teacher Guide (PDF)
Students see objects turn, slide and flip many times to illustrate rotation, translation and reflection transformations. They must learn to distinguish the pairs of words that describe the action to be able to demonstrate understanding. They are given many opportunities to practice selecting the correct action, plus the correct terms. The DIG DEEPER section shows a translation on a coordinate grid moved by specified units and direction. This lesson also has English, Navajo and Spanish narrations and scripts.
60.
(5-6) Transformations - Shapes on the Move/Spanish Voice
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Teacher Guide (PDF)
Students see objects turn, slide and flip many times to illustrate rotation, translation and reflection transformations. They must learn to distinguish the pairs of words that describe the action to be able to demonstrate understanding. They are given many opportunities to practice selecting the correct action, plus the correct terms. The DIG DEEPER section shows a translation on a coordinate grid moved by specified units and direction. This lesson also has English, Navajo and Spanish narrations and scripts.
61.
(5-6) Transversal - Angle Action Part 3
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Teacher Guide (PDF)
Recognize that all pairs of vertical angles are congruent. Measure angles using a protractor. Identify the angles created by two lines and a transversal.