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Title: Graphing the Real World
Description:
This crosscurricular lesson was designed to give students an understanding of the relationship between the coordinate grid in math and latitude and longitude in science.
This is a College and CareerReady Standards showcase lesson plan.
Standard(s): [MA2013] (6) 11: Solve realworld and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. [6NS8] [MA2013] (6) 23: Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving realworld and mathematical problems. [6G3] [S1] (6) 1: Identify global patterns of atmospheric movement, including El Niño, the Gulf Stream, the jet stream, the Coriolis effect, and global winds that influence local weather. [LIT2010] SCI (68) 3: Follow precisely a multistep procedure when carrying out experiments, taking measurements, or performing technical tasks. [LIT2010] SCI (68) 7: Integrate quantitative or technical information expressed in words in a text with a version of that information expressed visually (e.g., in a flowchart, diagram, model, graph, or table).
Subject: Literacy Standards (612) (6  8), or Mathematics (6), or Science (6)
Title: Graphing the Real World
Description: This crosscurricular lesson was designed to give students an understanding of the relationship between the coordinate grid in math and latitude and longitude in science.
This is a College and CareerReady Standards showcase lesson plan.
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Title: Geometry Journey
Description:
In this lesson students review geometry vocabulary. The students get moving and journey through the school and take photos of items that represent geometry vocabulary. They turn these photos into a virtual field trip.
Standard(s): [MA2013] (5) 25: Understand that attributes belonging to a category of twodimensional figures also belong to all subcategories of that category. [5G3] [MA2013] (5) 26: Classify twodimensional figures in a hierarchy based on properties. [5G4] [MA2013] (6) 23: Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving realworld and mathematical problems. [6G3]
Subject: Mathematics (5  6)
Title: Geometry Journey
Description: In this lesson students review geometry vocabulary. The students get moving and journey through the school and take photos of items that represent geometry vocabulary. They turn these photos into a virtual field trip.
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Title: Human Ordered Pairs
Description:
Students will work in collaborative groups to create a lifesize Cartesian plane and insert themselves as the ordered pairs.
This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
Standard(s): [MA2013] (6) 23: Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving realworld and mathematical problems. [6G3] [MA2013] (5) 3: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. [5OA3] [MA2013] (5) 23: Use a pair of perpendicular number lines, called axes, to define a coordinate system with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., xaxis and xcoordinate, yaxis and ycoordinate). [5G1] [MA2013] (5) 24: Represent realworld and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. [5G2]
Subject: Mathematics (5  6)
Title: Human Ordered Pairs
Description: Students will work in collaborative groups to create a lifesize Cartesian plane and insert themselves as the ordered pairs.
This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
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Title: Geometry City
Description:
In this lesson, students will review coordinate plane concepts, practice map skills, review shapes, transform geometric figures, and calculate the area and perimeter of figures.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [TC2] (68) 9: Practice responsible and legal use of technology systems and digital content. [TC2] (68) 11: Use digital tools and strategies to locate, collect, organize, evaluate, and synthesize
information. [MA2013] (6) 21: Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving realworld and mathematical problems. [6G1] [MA2013] (6) 23: Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving realworld and mathematical problems. [6G3] [MA2013] (7) 16: Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7G6] [MA2013] (8) 18: Describe the effect of dilations, translations, rotations, and reflections on twodimensional figures using coordinates. [8G3] [MA2013] (8) 19: Understand that a twodimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar twodimensional figures, describe a sequence that exhibits the similarity between them. [8G4]
Subject: Mathematics (6  8), or Technology Education (6  8)
Title: Geometry City
Description: In this lesson, students will review coordinate plane concepts, practice map skills, review shapes, transform geometric figures, and calculate the area and perimeter of figures.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: A Day at a Theme Park (Mathematics, 6th grade, Coordinate grid)
Description:
Rationale: The sixth grade curriculum and state standards require the students to understand the coordinate grid, quadrants, etc. This lesson allows the students to apply their knowledge of the coordinate grid, coordinates, and plotting points all while developing technological skills. The lesson also permits the students to create a coordinate grid and plot points on the x and y axis using a map of a theme park.
Standard(s): [TC2] (68) 6: Select specific digital tools for completing curriculumrelated tasks. [TC2] (68) 5: Use basic features of word processing, spreadsheets, databases, and presentation software. [TC2] (68) 11: Use digital tools and strategies to locate, collect, organize, evaluate, and synthesize
information. [MA2013] (6) 9: Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. [6NS6] [MA2013] (6) 11: Solve realworld and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. [6NS8] [MA2013] (6) 23: Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving realworld and mathematical problems. [6G3]
Subject: Mathematics (6), or Technology Education (6  8)
Title: A Day at a Theme Park (Mathematics, 6th grade, Coordinate grid)
Description: Rationale: The sixth grade curriculum and state standards require the students to understand the coordinate grid, quadrants, etc. This lesson allows the students to apply their knowledge of the coordinate grid, coordinates, and plotting points all while developing technological skills. The lesson also permits the students to create a coordinate grid and plot points on the x and y axis using a map of a theme park.
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Title: Graphing Fun
Description:
In this handson project, students have the opportunity to survey their classmates to find information that is meaningful to them. Then students will construct graphs using computer software. Students will analyze their information and discover the overall results of class favorites.
Standard(s): [MA2013] (6) 9: Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. [6NS6] [MA2013] (6) 11: Solve realworld and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. [6NS8] [MA2013] (6) 23: Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving realworld and mathematical problems. [6G3]
Subject: Mathematics (6)
Title: Graphing Fun
Description: In this handson project, students have the opportunity to survey their classmates to find information that is meaningful to them. Then students will construct graphs using computer software. Students will analyze their information and discover the overall results of class favorites.
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Title: You WANT me to make a paper airplane?
Description:
This lesson provides students with a handson, cooperative learning experience. Students will make paper airplanes. They will fly their planes and record the distance and time of numerous flights in an Excel spreadsheet. Students will then calculate the speed of each flight using the formula s=d/t and summarize their results by making a line graph.
Standard(s): [TC2] (68) 5: Use basic features of word processing, spreadsheets, databases, and presentation software. [TC2] (68) 6: Select specific digital tools for completing curriculumrelated tasks. [TC2] (68) 13: Use digital tools to formulate solutions to authentic problems. [MA2013] (6) 9: Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. [6NS6] [MA2013] (6) 10: Understand ordering and absolute value of rational numbers. [6NS7] [MA2013] (6) 11: Solve realworld and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. [6NS8] [MA2013] (6) 23: Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving realworld and mathematical problems. [6G3] [MA2013] (8) 9: Solve linear equations in one variable. [8EE7]
Subject: Mathematics (6  8), or Technology Education (6  8)
Title: You WANT me to make a paper airplane?
Description: This lesson provides students with a handson, cooperative learning experience. Students will make paper airplanes. They will fly their planes and record the distance and time of numerous flights in an Excel spreadsheet. Students will then calculate the speed of each flight using the formula s=d/t and summarize their results by making a line graph.
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Title: Trading and Tracking Stock Portfolios Online
Description:
Student teams will trade stocks and track the progress of their Alabama Stock Market Simulation portfolio by using spreadsheet software and the Internet. They will relate the information to a previous social studies unit on economics and will be utilizing math concepts they have learned. The Internet will be used to research stock trends.
Standard(s): [TC2] (68) 5: Use basic features of word processing, spreadsheets, databases, and presentation software. [TC2] (68) 11: Use digital tools and strategies to locate, collect, organize, evaluate, and synthesize
information. [TC2] (68) 13: Use digital tools to formulate solutions to authentic problems. [MA2013] (6) 9: Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. [6NS6] [MA2013] (6) 11: Solve realworld and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. [6NS8] [MA2013] (6) 23: Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving realworld and mathematical problems. [6G3] [MA2013] (7) 1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. [7RP1] [MA2013] (7) 2: Recognize and represent proportional relationships between quantities. [7RP2] [MA2013] (7) 3: Use proportional relationships to solve multistep ratio and percent problems. [7RP3] [MA2013] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7G1]
Subject: Mathematics (6  7), or Technology Education (6  8)
Title: Trading and Tracking Stock Portfolios Online
Description: Student teams will trade stocks and track the progress of their Alabama Stock Market Simulation portfolio by using spreadsheet software and the Internet. They will relate the information to a previous social studies unit on economics and will be utilizing math concepts they have learned. The Internet will be used to research stock trends.
Thinkfinity Lesson Plans
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Title: Hospital Map Activity Sheet
Description:
This student reproducible, from an Illuminations lesson, contains a map of the area wherein students must choose a location to build a new hospital so it is equidistant from Boise, Idaho; Helena, Montana; and Salt Lake City, Utah. Students do their work on a blank transparency and overlay their work onto this map.
Standard(s): [MA2013] (6) 23: Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving realworld and mathematical problems. [6G3] [MA2013] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7G1] [MA2013] GEO (912) 1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment based on the undefined notions of point, line, distance along a line, and distance around a circular arc. [GCO1] [MA2013] GEO (912) 9: Prove theorems about lines and angles. Theorems include vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; and points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints. [GCO9] [MA2013] DM1 (912) 10: Use vertexcoloring techniques and matching techniques to solve applicationbased problems. (Alabama)
Subject: Mathematics,Social Studies Title: Hospital Map Activity Sheet
Description: This student reproducible, from an Illuminations lesson, contains a map of the area wherein students must choose a location to build a new hospital so it is equidistant from Boise, Idaho; Helena, Montana; and Salt Lake City, Utah. Students do their work on a blank transparency and overlay their work onto this map. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Triangle Classification
Description:
In this Illuminations lesson, based on the Triangle Classification problem, students attempt to classify triangles formed in a plane when a randomly selected point is connected to the endpoints of a given line segment. Students classify triangles according to sides and angles. In addition, there are links to online activity sheets and other related resources.
Standard(s): [MA2013] (6) 23: Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving realworld and mathematical problems. [6G3] [MA2013] (7) 12: Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. [7G2] [MA2013] GEO (912) 12: Make formal geometric constructions with a variety of tools and methods such as compass and straightedge, string, reflective devices, paper folding, and dynamic geometric software. Constructions include copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line. [GCO12]
Subject: Mathematics Title: Triangle Classification
Description: In this Illuminations lesson, based on the Triangle Classification problem, students attempt to classify triangles formed in a plane when a randomly selected point is connected to the endpoints of a given line segment. Students classify triangles according to sides and angles. In addition, there are links to online activity sheets and other related resources. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Triangula Island Overhead
Description:
This reproducible transparency, from an Illuminations lesson, contains an activity that asks students to conjecture the best location of a point inside a regular polygon such that the sum of the distances to each side is a minimum.
Standard(s): [MA2013] (6) 23: Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving realworld and mathematical problems. [6G3] [MA2013] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7G1] [MA2013] GEO (912) 12: Make formal geometric constructions with a variety of tools and methods such as compass and straightedge, string, reflective devices, paper folding, and dynamic geometric software. Constructions include copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line. [GCO12] [MA2013] GEO (912) 39: Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).* [GMG1] [MA2013] GEO (912) 41: Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost, working with typographic grid systems based on ratios).* [GMG3]
Subject: Mathematics Title: Triangula Island Overhead
Description: This reproducible transparency, from an Illuminations lesson, contains an activity that asks students to conjecture the best location of a point inside a regular polygon such that the sum of the distances to each side is a minimum. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Mathematics and Children's Literature
Description:
In this fivelesson unit, from Illuminations, students participate in activities in which they focus on connections between mathematics and children s literature. Five pieces of literature are applied to teaching a wide range of topics in the mathematics curriculum, from sorting and classifying to the meaning of averages.
Standard(s): [MA2013] (3) 17: Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l). (Excludes compound units such as cm^{3} and finding the geometric volume of a container.) Add, subtract, multiply, or divide to solve onestep word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem. (Excludes multiplicative comparison problems (problems involving notions of "times as much").) (See Appendix A, Table 2.) [3MD2] [MA2013] (3) 24: Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories. [3G1] [MA2013] (6) 3: Use ratio and rate reasoning to solve realworld and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. [6RP3] [MA2013] (6) 13: Write, read, and evaluate expressions in which letters stand for numbers. [6EE2] [MA2013] (6) 22: Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving realworld and mathematical problems. [6G2] [MA2013] (6) 23: Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving realworld and mathematical problems. [6G3] [MA2013] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7G1] [MA2013] (7) 12: Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. [7G2] [MA2013] (7) 16: Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7G6] [MA2013] (8) 24: Know the formulas for the volumes of cones, cylinders, and spheres, and use them to solve realworld and mathematical problems. [8G9] [ELA2013] (3) 29: Recall information from experiences or gather information from print and digital sources; take brief notes on sources and sort evidence into provided categories. [W.3.8] [ELA2013] (5) 1: Quote accurately from a text when explaining what the text says explicitly and when drawing inferences from the text. [RL.5.1] [ELA2013] (5) 10: Quote accurately from a text when explaining what the text says explicitly and when drawing inferences from the text. [RI.5.1] [ELA2013] (5) 13: Determine the meaning of general academic and domainspecific words and phrases in a text relevant to a Grade 5 topic or subject area. [RI.5.4] [ELA2013] (5) 18: Integrate information from several texts on the same topic in order to write or speak about the subject knowledgeably. [RI.5.9] [ELA2013] (6) 7: Compare and contrast the experience of reading a story, drama, or poem to listening to or viewing an audio, video, or live version of the text, including contrasting what they "see" and "hear" when reading the text to what they perceive when they listen or watch. [RL.6.7] [ELA2013] (6) 8: Differentiate among odes, ballads, epic poetry, and science fiction. (Alabama) [ELA2013] (6) 9: Compare and contrast texts in different forms or genres (e.g., stories and poems; historical novels and fantasy stories) in terms of their approaches to similar themes and topics. [RL.6.9] [ELA2013] (6) 10: By the end of the year, read and comprehend literature, including stories, dramas, and poems, in the Grades 68 text complexity band proficiently, with scaffolding as needed at the high end of the range. [RL.6.10] [ELA2013] (7) 7: Compare and contrast a written story, drama, or poem to its audio, filmed, staged, or multimedia version, analyzing the effects of techniques unique to each medium (e.g., lighting, sound, color, or camera focus and angles in a film). [RL.7.7] [ELA2013] (7) 8: Compare and contrast a fictional portrayal of a time, place, or character and a historical account of the same period as a means of understanding how authors of fiction use or alter history. [RL.7.9] [ELA2013] (7) 9: By the end of the year, read and comprehend literature, including stories, dramas, and poems, in the Grades 68 text complexity band proficiently, with scaffolding as needed at the high end of the range. [RL.7.10] [ELA2013] (8) 7: Analyze the extent to which a filmed or live production of a story or drama stays faithful to or departs from the text or script, evaluating the choices made by the director or actors. [RL.8.7] [ELA2013] (8) 8: Analyze how a modern work of fiction draws on themes, patterns of events, or character types from myths, traditional stories, or religious works such as the Bible, including describing how the material is rendered new. [RL.8.9] [ELA2013] (8) 9: By the end of the year, read and comprehend literature, including stories, dramas, and poems, at the high end of Grades 68 text complexity band independently and proficiently. [RL.8.10]
Subject: Language Arts,Mathematics Title: Mathematics and Children's Literature
Description: In this fivelesson unit, from Illuminations, students participate in activities in which they focus on connections between mathematics and children s literature. Five pieces of literature are applied to teaching a wide range of topics in the mathematics curriculum, from sorting and classifying to the meaning of averages. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2,3,4,5,6,7,8
ALEX Podcasts
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Title: Classifying Angles
Overview:
Watch as three sixth grade students explore different kinds of angles found on their school campus. Throughout the podcast, they give the definition for each type of angle. Then you are asked to identify the angles represented in pictures they took. Watch carefully, because after you have the opportunity to identify the angles, they illustrate the correct response. This interactive podcast is sure to help anyone who is learning how to classify angles.
Standard(s):
[MA2013] (5) 25: Understand that attributes belonging to a category of twodimensional figures also belong to all subcategories of that category. [5G3] [MA2013] (5) 26: Classify twodimensional figures in a hierarchy based on properties. [5G4] [MA2013] (6) 23: Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving realworld and mathematical problems. [6G3]
Classifying Angles Overview: Watch as three sixth grade students explore different kinds of angles found on their school campus. Throughout the podcast, they give the definition for each type of angle. Then you are asked to identify the angles represented in pictures they took. Watch carefully, because after you have the opportunity to identify the angles, they illustrate the correct response. This interactive podcast is sure to help anyone who is learning how to classify angles.

