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8th Grade  Project 1 week

Angle Art: Acute Meets Obtuse

CPMA T
Updated
8.G.A.5
8.G.A.2
8.G.A.4
8.G.A.3
8.G.A.1
+ 4 more
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Purpose

Create a poster, sculpture, or digital artwork showing several acute and obtuse angles.
An angle is a shape made by two lines that meet.
Measure and compare angles, then check each example with a protractor.
Move, turn, flip, or resize shapes to show angle relationships in your design.
Write a short reflection explaining how your work grew from start to finish.

Learning goals

I can measure and compare acute and obtuse angles with a protractor. A protractor measures angles. I can use triangle and transversal links to explain unknown angles. I can model rotations, reflections, translations, and dilations with coordinates. I can use these changes to explain congruence and similarity. Congruence means same size and shape. Similarity means same shape with different size. I can create artwork with several angle examples and reflect on growth from start to finish.

Standards
  • [California] 8.G.A.5 - Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.
  • [California] 8.G.A.2 - Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
  • [California] 8.G.A.4 - Understand that a two-dimensional 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 two-dimensional figures, describe a sequence that exhibits the similarity between them.
  • [California] 8.G.A.3 - Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
  • [California] 8.G.A.1 - Verify experimentally the properties of rotations, reflections, and translations:
Competencies
  • Making Meaning - Synthesizing information (FL.ID.1.a)
  • Mathematical Modeling - Using models (FL.MST.2.d)
  • Mathematical Modeling - Modeling (FL.MST.2.a)
  • Synthesis - Understanding relationships (OT.Crit.3.c)

Products

Create an angle plan. An angle is the space between two meeting lines. Show several acute and obtuse angles. Use a protractor for each angle. A protractor helps you measure angles. Include measurements for every angle. Include how you compare each angle. Make a poster, sculpture, or digital artwork. Use congruent and similar transformed shapes. Congruent shapes are the same size and shape. Similar shapes have the same shape but different sizes. Add labels with coordinates. Coordinates show a point's place on a grid. Add transformation steps. Transformations are moves like slide, turn, and flip. Add one triangle or transversal angle fact. Turn in your plan, artwork, labels, and a reflection. In your reflection, show how your work grew.

Launch

Look at artwork with shapes that slide, turn, flip, or change size.
Find acute and obtuse angles made by two lines that meet.
Predict the type and measure of four angles.
Measure each angle with a protractor.
Sketch a poster, sculpture, or digital artwork using several angles.

Exhibition

Display your poster, sculpture, or digital artwork in a geometry art gallery.
Label several acute and obtuse angles.
Check them with a protractor.
A protractor measures angles.
Show congruent or similar figures made through transformations.
Congruent figures match exactly.
Similar figures keep the same shape.
Explain one angle relationship in triangles, parallel lines, or a transversal.
A transversal is a line that crosses two lines.
Share how your artwork grew from first draft to final piece.