Q3, W5: February 22nd – 26th Advanced Math

TeacherFelicia Taylor
Subject AreaAdvanced Math
Grade Level7th
Week #23
Unit of InstructionFocus 6: Angles
Standard(s) Taught

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.

Learning Targets and Learning Criteria

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.
Classroom Activities

Monday (Innovative and 3rd Period Students)

  1. Instruction
    1. Exterior Angle Theorem
    2. Alternate Interior and Alternate Exterior Angles
    3. Transversals of Parallel Lines
  2. Assignments – due Thursday, February 25th
    1. IXL 8th Grade O.12 Exterior Angle Theorem
    2. IXL 7th Grade W.18 Identify alternate interior and alternate exterior angles
    3. IXL 8th Grade O.16 Identify alternate interior and alternate exterior angles
    4. IXL 8th Grade O.17 Transversals of parallel lines: name angle pairs
    5. IXL 8th Grade O.18 Transversals of parallel lines: find angle measures

Tuesday (5th Period Students)

  1. Finish all IXLs for Focus 6:  Angles
  2. DIA 4 Review on kahoot!

Wednesday (Innovative and 3rd Period Students)

DIA 4 Review on kahoot!

Wednesday (5th Period Students)

DIA 4 on SchoolCity (vPortal)

Thursday (Innovative and 3rd Period Students)

  1. Finish all IXLs for Focus 6:  Angles
  2. DIA 4 on SchoolCity (vPortal)
  3. Read about Pythagorean Theorem in The Complete Middle School Study Guide, pages 295 – 300.
  4. Pythagorean Theorem on Quizizz
  5. Start IXLs on Focus 7:  Pythagorean Theorem handout.
  6. Assignments – due Wednesday, March 3rd
    1. IXL 8th Grade R.1 Pythagorean Theorem: find the length of the hypotenuse
    2. IXL 8th Grade R.2 Pythagorean Theorem: find the missing leg length
    3. IXL 8th Grade R.3 Pythagorean Theorem: find the missing leg or hypotenuse length
    4. IXL 8th Grade R.4 Pythagorean Theorem: find the perimeter
    5. IXL 8th Grade R.5 Pythagorean Theorem: word problems
    6. IXL 8th Grade R.6 Converse of the Pythagorean Theorem: is it a right triangle?

Friday (5th Period Students)

  1. Read about Pythagorean Theorem in The Complete Middle School Study Guide, pages 295 – 300.
  2. Pythagorean Theorem on Quizizz
  3. Start IXLs on Focus 7:  Pythagorean Theorem handout.
  4. Assignments – due Wednesday, March 3rd
    1. IXL 8th Grade R.1 Pythagorean Theorem: find the length of the hypotenuse
    2. IXL 8th Grade R.2 Pythagorean Theorem: find the missing leg length
    3. IXL 8th Grade R.3 Pythagorean Theorem: find the missing leg or hypotenuse length
    4. IXL 8th Grade R.4 Pythagorean Theorem: find the perimeter
    5. IXL 8th Grade R.5 Pythagorean Theorem: word problems
    6. IXL 8th Grade R.6 Converse of the Pythagorean Theorem: is it a right triangle?
Assignments Due

Summative

DIA 4

Formatives

Due Monday, February 22nd

  1. IXL 8th Grade O.7 Find missing angles in triangles
  2. IXL 8th Grade O.8 Find missing angles in triangles using ratios
  3. IXL 8th Grade O.9 Triangle-angle Sum Theorem

Due Tuesday, February 23rd

  1. IXL 7th Grade W.18 Identify alternate interior and alternate exterior angles
  2. IXL 8th Grade O.16 Identify alternate interior and alternate exterior angles
  3. IXL 8th Grade O.17 Transversals of parallel lines: name angle pairs
  4. IXL 8th Grade O.18 Transversals of parallel lines: find angle measures

Due Thursday, February 25th

  1. IXL 8th Grade O.12 Exterior Angle Theorem
  2. IXL 7th Grade W.18 Identify alternate interior and alternate exterior angles
  3. IXL 8th Grade O.16 Identify alternate interior and alternate exterior angles
  4. IXL 8th Grade O.17 Transversals of parallel lines: name angle pairs
Additional Resources

All IEP accommodations will be provided each class.

All Notes will be uploaded into GradeBook (Focus).