Wayne RESA

Unit PlannerBig Ideas Math 8

Wayne Resa - Math / Grade 8 / Mathematics / Big Ideas Math 8 / Week 4 - Week 7
2 Curriculum Developers
Unit Abstract

Eight Grade

  • Verify the properties of translations, reflections, and rotations.
  • Describe translations, reflections, rotations, and dilations using coordinates.
  • Understand that figures are congruent (or similar) when they can be related by a sequence of translations, reflections, rotations (and dilations).
  • Describe a sequence that exhibits congruence or similarity between two figures.
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Expectations/Standards
MI: Mathematics
MI: Grade 8
Geometry
8.G.A. Understand congruence and similarity using physical models, transparencies, or geometry software.
8.G.A.1. Verify experimentally the properties of rotations, reflections, and translations:
8.G.A.1a. Lines are taken to lines, and line segments to line segments of the same length.
8.G.A.1b. Angles are taken to angles of the same measure.
8.G.A.1c. Parallel lines are taken to parallel lines.
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.
8.G.A.3. Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
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.
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Practice Standards
  • SMP1 - Make sense of problems and persevere in solving them
  • SMP2 - Reason abstractly and quantitatively
  • SMP3 - Construct viable arguments and critique the reasoning of others
  • SMP4 - Model with Mathematics
  • SMP5 - Use appropriate tools strategically
  • SMP6 - Attend to precision
  • SMP7 - Look for and make use of structure
  • SMP8 - Look for and express regularity in reasoning
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Concepts from Previous Units

Sixth Grade

  • Draw polygons in the coordinate plane given vertices and find lengths of sides whose endpoints have the same x- or y-coordinate.
  • Find areas of triangles and special quadrilaterals.
  • Understand ratios and describe ratio relationships.

Seventh Grade

  • Draw geometric shapes with given conditions.
  • Represent proportional relationships with equations.
  • Find unit rates associated with ratios of perimeters and areas.
  • Use proportionality to solve ratio problems.
  • Reproduce a scale drawing at a different scale.and p(x + q) = r, where p,q, and r are rational numbers.
Connections to Upcoming Units
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Key Terms / Vocabulary

Congruent, Corresponding Angles, Corresponding Sides, Translate, Tessellate, Dimensions, Parallel, Congruent, Vertices, Vertex, Horizontal, Vertical, Coordinates, Translation, Transformation, Image, Prieze, Symmetry, x-axis, y-axis, x-coordinate, y-coordinate, quadrants (I, II, III, and IV), Reflection, Line of Reflection, Rotation, Origin, Center of rotation, Angle of rotation, Proportional, Trapezoid, Similar Figures, Perimeter, Area, Ratio, Proportion, Dilation, Center of Dilation, Scale Factor

Replica, Berlin Wall


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Lesson Plan Sequence
The following lesson plan sequence is obtained from Big Ideas Learning (2015). Each lesson is aligned with a learning objective to inform the teachers on what students should be able to do at the end of the lesson. The student objective informs the students of their learning goals for the day and it should be reviewed before, during and at the end of the lesson. Each lesson includes a mathematics task that should be implemented to meet the learning objectives. Teachers can select from the practice opportunities to reinforce the learning goals of the day.
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Language Support
The use of sentence stems as a language support are beneficial to all students, including English Language Learners. The use of sentence stems encourages the learning of mathematics in a language rich environment which has an impact on other learning as well. The sentence stems are a beginning place for supporting students' use of academic language and encourage discussion and writing as students learn content.
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