MathActive Lessons
             for Grades 3-4

1.
(3-4) 3-D Cubes
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Teacher Guide (PDF)
Name concrete objects and pictures of three-dimensional solids (cones, spheres and cubes).
2.
(3-4) 3-D Cubes with English Voice
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Teacher Guide (PDF)
Before this learning activity students should be introduced to specific geometrical vocabulary and concepts, such as, three-dimensional figure, square face, same/congruent, geometric shape, square, equal and line segment.
3.
(3-4) 3-D Cubes with Navajo Voice
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Teacher Guide (PDF)
Before this learning activity students should be introduced to specific geometrical vocabulary and concepts, such as, three-dimensional figure, square face, same/congruent, geometric shape, square, equal and line segment.
4.
(3-4) 3-D Cubes with Spanish Voice
Start Lesson
Teacher Guide (PDF)
Before this learning activity students should be introduced to specific geometrical vocabulary and concepts, such as, three-dimensional figure, square face, same/congruent, geometric shape, square, equal and line segment.
5.
(3-4) Acute Triangles
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Teacher Guide (PDF)
Classify triangles as right, acute, or obtuse. Measure angles using a protractor.
6.
(3-4) Addends with Spiffy
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Teacher Guide (PDF)
The variable is the concept that enables arithmetic to be generalized. Algebra is a set of ruls for manipulating symbols, and a way of thinking. Algebra concepts have been brought to primary classrooms since the new national standards have called for algebraic experiences to start early.
7.
(3-4) 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.
8.
(3-4) Area - Rancher 'Rithmetic 3 with English 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.
9.
(3-4) Area - Rancher 'Rithmetic 3 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.
10.
(3-4) Area - Rancher 'Rithmetic 3 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.
11.
(3-4) Arrays with Rikki
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Teacher Guide (PDF)
Demonstrate the process of multiplication as repeatedly adding the same number, counting by multiples, combining equal sets, and making arrays. Solve word problems using grade level appropriate operations and numbers.
12.
(3-4) Basic Right Triangles
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Teacher Guide (PDF)
Compare attributes of two-dimensional shapes (square, rectangle, triangle, and circle). Identify the properties of two dimensional figures using appropriate terminology.
13.
(3-4) Circles to Spheres
Start Lesson
Teacher Guide (PDF)
Describe relationships between two-dimensional and three-dimensional objects. (squares/cubes, circles/spheres, triangles/cones) Name concrete objects and pictures of three-dimensional solids (cones, spheres and cubes).
14.
(3-4) Circles to Spheres with English Voice
Start Lesson
Teacher Guide (PDF)
Describe relationships between two-dimensional and three-dimensional objects. (squares/cubes, circles/spheres, triangles/cones) Name concrete objects and pictures of three-dimensional solids (cones, spheres and cubes).
15.
(3-4) Circles to Spheres with Navajo Voice
Start Lesson
Teacher Guide (PDF)
Describe relationships between two-dimensional and three-dimensional objects. (squares/cubes, circles/spheres, triangles/cones) Name concrete objects and pictures of three-dimensional solids (cones, spheres and cubes).
16.
(3-4) Circles to Spheres with Spanish Voice
Start Lesson
Teacher Guide (PDF)
Describe relationships between two-dimensional and three-dimensional objects. (squares/cubes, circles/spheres, triangles/cones) Name concrete objects and pictures of three-dimensional solids (cones, spheres and cubes).
17.
(3-4) Classify 2-D Shapes
Start Lesson
Teacher Guide (PDF)
Identify the properties of two dimensional figures using appropriate terminology.
18.
(3-4) Congruency Basics
Start Lesson
Teacher Guide (PDF)
Identify congruent geometric shapes.
19.
(3-4) Deductiva Deductions
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Teacher Guide (PDF)
Draw conclusions based on existing information. (e.g., "All students in Ms. Dean's 1st grade class are less than 7 years old. Rafael is in Ms. Dean's class. Conclusion: Rafael is less than 7 years old.")
20.
(3-4) Faces of a Cube
Start Lesson
Teacher Guide (PDF)
Describe relationships between two-dimensional and three-dimensional objects. (squares/cubes, circles/spheres, triangles/cones) Name concrete objects and pictures of three-dimensional solids (cones, spheres and cubes).
21.
(3-4) Faces of a Cube with English Voice
Start Lesson
Teacher Guide (PDF)
Describe relationships between two-dimensional and three-dimensional objects. (squares/cubes, circles/spheres, triangles/cones) Name concrete objects and pictures of three-dimensional solids (cones, spheres and cubes).
22.
(3-4) Hurray for Arrays With English Voice
Start Lesson
Teacher Guide (PDF)
Demonstrate the process of multiplication as repeatedly adding the same number, counting by multiples, combining equal sets, and making arrays.
23.
(3-4) Hurray for Arrays With Navajo Voice
Start Lesson
Teacher Guide (PDF)
Demonstrate the process of multiplication as repeatedly adding the same number, counting by multiples, combining equal sets, and making arrays.
24.
(3-4) Hurray for Arrays With Spanish Voice
Start Lesson
Teacher Guide (PDF)
Demonstrate the process of multiplication as repeatedly adding the same number, counting by multiples, combining equal sets, and making arrays.
25.
(3-4) Hurray for Arrays and Multiplication
Start Lesson
Teacher Guide (PDF)
Demonstrate the process of multiplication as repeatedly adding the same number, counting by multiples, combining equal sets, and making arrays.
26.
(3-4) Identify Cones
Start Lesson
Teacher Guide (PDF)
Name concrete objects and pictures of three-dimensional solids (cones, spheres and cubes). Describe relationships between two-dimensional and three-dimensional objects. (squares/cubes, circles/spheres, triangles/cones)
27.
(3-4) Identify Cones with English Voice
Start Lesson
Teacher Guide (PDF)
Name concrete objects and pictures of three-dimensional solids (cones, spheres and cubes). Describe relationships between two-dimensional and three-dimensional objects. (squares/cubes, circles/spheres, triangles/cones)
28.
(3-4) Identify Cones with Navajo Voice
Start Lesson
Teacher Guide (PDF)
Name concrete objects and pictures of three-dimensional solids (cones, spheres and cubes). Describe relationships between two-dimensional and three-dimensional objects. (squares/cubes, circles/spheres, triangles/cones)
29.
(3-4) Identify Cones with Spanish Voice
Start Lesson
Teacher Guide (PDF)
Name concrete objects and pictures of three-dimensional solids (cones, spheres and cubes). Describe relationships between two-dimensional and three-dimensional objects. (squares/cubes, circles/spheres, triangles/cones)
30.
(3-4) Lines/Congruency with Rikki
Start Lesson
Teacher Guide (PDF)
Recognize congruent shapes. Identify congruent geometric shapes.
31.
(3-4) Lines/Congruency with Rikki/English Voice
Start Lesson
Teacher Guide (PDF)
Recognize congruent shapes. Identify congruent geometric shapes.
32.
(3-4) Lines/Congruency with Rikki/Navajo Voice
Start Lesson
Teacher Guide (PDF)
Recognize congruent shapes. Identify congruent geometric shapes.
33.
(3-4) Lines/Congruency with Rikki/Spanish Voice
Start Lesson
Teacher Guide (PDF)
Recognize congruent shapes. Identify congruent geometric shapes.
34.
(3-4) Meet the Polygon Family
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Teacher Guide (PDF)
Students will be introduced to the polygon family by way of identifying shapes and number of sides. This lesson is the first of three lessons on polygons. The author suggests following the Polygon Family with Polygons Defined, then Regular Polygons and Figure It Out! Polygons.
35.
(3-4) More with Perimeter - Rancher 'Rithmetic 2
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.
36.
(3-4) More with Perimeter - Rancher 'Rithmetic 2/English 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.
(3-4) More with Perimeter - Rancher 'Rithmetic 2/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.
38.
(3-4) More with Perimeter - Rancher 'Rithmetic 2/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.
39.
(3-4) Polygons Defined
Start Lesson
Teacher Guide (PDF)
Identify the properties of two dimensional figures using appropriate terminology.
40.
(3-4) Polygons Defined
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Teacher Guide (PDF)
In this second lesson on polygons, students will learn about the connection with the Greek language and the terms identifying the shape of regular polygons. This lesson builds on the Polygon Family and reviews naming polygons as in the TRY. At that point the learning extends the concept of polygons and their attributes to true/false and interesting games with Mrs. Glosser in DIG DEEPER. The first web site is slow coming up.
41.
(3-4) Pyramids with Basic Bases
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Teacher Guide (PDF)
This lesson, originally at the Essential level in the Arizona Standard, enables students to identify and classify pyramids as three-dimensional figures by name and attributes. Classroom resources provided in 2nd website, Dig Deeper section. Students learn that pyramids are three-dimensional figures. They are made of triangular faces (3, 4, 5 and more) with a polygon base. The faces have edges that meet at a point (vertex).
42.
(3-4) Rectangular Prisms with Rikki
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Teacher Guide (PDF)
Name concrete objects and pictures of three-dimensional solids (cones, spheres and cubes). Identify models or illustrations of prisms, pyramids, cones, cylinders, and spheres.
43.
(3-4) Shapes and Patterns - Kaleidoscope with English Voice
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Teacher Guide (PDF)
The students will learn about patterns and experiment with making patterns using squares first as a foundation and then adding other shapes to the squares. Build geometric figures with other common shapes. (e.g., tangrams, pattern blocks, geoboards)
44.
(3-4) Shapes and Patterns-Kaleidoscope
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Teacher Guide (PDF)
Build geometric figures with other common shapes. (e.g., tangrams, pattern blocks, geoboards)
45.
(3-4) Shapes with Rikki
Start Lesson
Teacher Guide (PDF)
Build geometric figures with other common shapes. (e.g., tangrams, pattern blocks, geoboards)
46.
(3-4) Shapes with Rikki/English Voice
Start Lesson
Teacher Guide (PDF)
Build geometric figures with other common shapes. (e.g., tangrams, pattern blocks, geoboards)
47.
(3-4) Shapes with Rikki/Navajo Voice
Start Lesson
Teacher Guide (PDF)
Build geometric figures with other common shapes. (e.g., tangrams, pattern blocks, geoboards)
48.
(3-4) Shapes with Rikki/Spanish Voice
Start Lesson
Teacher Guide (PDF)
Build geometric figures with other common shapes. (e.g., tangrams, pattern blocks, geoboards)
49.
(3-4) 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.
50.
(3-4) Symmetry of the Southwest
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Teacher Guide (PDF)
Draw a two-dimensional shape that has line symmetry.
51.
(3-4) Terrific Tangrams
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Teacher Guide (PDF)
Build geometric figures with other common shapes. (e.g., tangrams, pattern blocks, geoboards)