Standard(s) Taught |
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MAFS.7.G.1.2
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.
MAFS.7.G.2.5
Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.
MAFS.8.G.1.5
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.
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Learning Targets and Learning Criteria |
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Students are successful when they can…
- draw geometric shapes with given conditions.
- construct triangles from three measures of angles or sides.
- describe when angle measures determine a triangle (given angles equal 180)
- describe when side measures determine a unique triangle (a + b > c) or (a + b < c).
- determine whether three angle measures of three side lengths can form a triangle.
- discover the definitions of supplementary, complementary, vertical, and adjacent angles.
- solve multi-step problems by applying what you know about the types of angles.
- informally prove the angle-sum theorem, the properties of angles when parallel lines are cut by a transversal and the angle-angle criterion for similar triangles.
- prove that the sum of any triangle’s interior angles will have the same measure as a straight angle.
- make conjectures regarding the relationships and measurements of the angles created when two parallel lines are cut by a transversal.
- apply proven relationships to establish minimal properties to justify similarity.
- present informal arguments as to whether or not triangles are similar based on Angle-Angle criterion.
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Classroom Activities |
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Monday – Presidents’ Day
No School
Tuesday (5th Period Students)
- Instruction – Triangle Angle Sum
- Assignments – due Friday, February 19th
- IXL 8th Grade O.7 Find missing angles in triangles
- IXL 8th Grade O.8 Find missing angles in triangles using ratios
- IXL 8th Grade O.9 Triangle Angle Sum Theorem
Wednesday (Innovative and 3rd Period Students)
- Instruction – Angles, The Complete Middle School Study Guide, pages 267-277
- Assignment – IXLs due Thursday, February 18th
- 7th Grade W.16 Identify complementary, supplementary, vertical and adjacent angles
- 7th Grade W.17 Find the measures of complementary, supplementary, vertical and adjacent angles
Wednesday (5th Period Students)
- Instruction – Exterior Angle Theorem
- Assignment – IXL 8th Grade O.12 Exterior Angle Theorem – due Friday, February 19th
Thursday (Innovative and 3rd Period Students)
- Instruction – Triangles, The Complete Middle School Study Guide, pages 287-289, 337-344
- Assignments – due Monday, February 22nd
- IXL 7th Grade W.4 Triangle Inequality
- IXL 7th Grade W.8 Graph triangles and quadrilaterals
- Instruction – Triangle Sum
- Assignments – due Monday, February 22nd
- IXL 8th Grade O.7 Find missing angles in triangles
- IXL 8th Grade O.8 Find missing angles in triangles using ratios
Friday (5th Period Students)
- Instruction
- Alternate Interior and Alternate Exterior Angles
- Transversals of Parallel Lines
- Assignments – due Tuesday, February 23rd
- IXL 8th Grade O.16 Identify alternate interior and alternate exterior angles
- IXL 8th Grade O.17 Transversals of parallel lines: name angle pairs
- IXL 8th Grade O.18 Transversals of parallel lines: find angle measures
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Assignments Due |
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Summatives
None
Formatives
Tuesday, February 16th (5th Period Students)
- IXL 7th Grade W.4 Triangle inequality
- IXL 7th Grade W.8 Graph triangles and quadrilaterals
- IXL 7th Grade W.16 Identify complementary, supplementary, vertical and adjacent angles
- IXL 7th Grade W.17 Find the measures of complementary, vertical and adjacent angles
Thursday, February 18th (Innovative and 3rd Period Students)
- 7th Grade W.16 Identify complementary, supplementary, vertical and adjacent angles
- 7th Grade W.17 Find the measures of complementary, supplementary, vertical and adjacent angles
Friday, February 19th (5th Period Students)
- IXL 8th Grade O.7 Find missing angles in triangles
- IXL 8th Grade O.8 Find missing angles in triangles using ratios
- IXL 8th Grade O.9 Triangle Angle Sum Theorem
- IXL 8th Grade O.12 Exterior Angle Theorem
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Additional Resources |
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All IEP accommodations will be provided each class.
All notes will be uploaded into Focus (GradeBook).
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