Students draw “dilations” on and off a coordinate grid, and understand that the resulting figures are similar but not necessarily congruent. Students understand that a figure under a dilation is manipulated from a point called the “center” and requires a “scale factor.”
PACING = 1 week
∎ Students will persevere in identifying, finding coordinates, and graphing dilations. (8.G.1, 8.G.3) (MP.1)
I can identify a dilation. (8.G.3)
I can find the coordinates of a dilation. (8.G.3)
I can graph a dilation. (8.G.3)
I can draw an image of a figure under a series of transformations. (8.G.1, 8.G.3)
∎ Students will construct arguments and critique the reasoning of others when identifying corresponding sides and angles of similar shapes. (8.G.4, 8.G.5) (MP.3)
I can identify corresponding sides and angles in similar shapes. (8.G.4, 8.G.5)
I can understand that all corresponding angles of two similar polygons have equal measure. (8.G.4)
I can identify similar shapes. (8.G.4)
∎ Students will identify different angle relationships and determine the measures of missing angles. (8.G.5) (MP.2)
I can identify supplementary angles. (8.G.5)
I can identify angle pair relationships created by parallel lines cut by a transversal. (8.G.5)
I can find the measures of supplementary angles. (8.G.5)
I can find the angle pair measurements created by parallel lines cut by a transversal. (8.G.5)
I can find the missing angle inside a triangle. (8.G.5)
I can find the exterior angle of a triangle based on the exterior angle theorem. (8.G.5)
I can explore and verify relationships between the angles formed by a set of parallel lines cut by a transversal. (8.G.5)
I can explore and verify relationship between the interior and exterior angles of a triangle. (8.G.5)
∎ Major Content ⊡ Supporting Content 🌕 Additional Content
New Vocab: center of dilation, dilation, similar (∼), alternate interior angles, alternate exterior angles, corresponding angles, linear pair, same-side interior angles, transversal, exterior angle, A’, B’, etc. (“A prime,” “B prime,” etc.)
Review Vocab: congruent (≅), ray, scale factor, proportional relationships, adjacent angles, supplementary angles, vertical angles, similar triangles, coordinates, ordered pair, vertex/vertices, quadrant, horizontal, vertical, sequence
Academic Vocab: enlarge, reduce, statement, prove, intersect, non-adjacent, related,
*The computational strategies that you practice during number talks does NOT have to align with the core math content. Number talks are meant to practice fluency strategies, not teach new content.
Ready Teacher Toolbox Lesson 5: Perform and Describe Transformations Involving Dilations-Sessions 1-4
Assessment Tasks UPDATED 8th gr assessments 8.G.3 Proficiency Rubrics 8.G.3 IAR sample questions 8.G.3
Prior knowledge/Just in Time support & Enrichment RTTB Lesson 5: Square Puzzle
Nearpod Math lessons Open Middle tasks
Interactive manipulatives
Ready Teacher Toolbox Lesson 4: Understand Dilations and Similarity-Sessions 1-3
Assessment Tasks UPDATED 8th gr assessments 8.G.4 Proficiency Rubrics 8.G.4 IAR sample questions 8.G.4
Prior knowledge/Just in Time support & Enrichment RTTB Lesson 4: Dilation and Perspective
Nearpod Math lessons Open Middle tasks
Interactive manipulatives
I can identify supplementary angles. (8.G.5)
I can identify angle pair relationships created by parallel lines cut by a transversal. (8.G.5)
I can find the measures of supplementary angles. (8.G.5)
I can find the angle pair measurements created by parallel lines cut by a transversal. (8.G.5)
I can find the missing angle inside a triangle. (8.G.5)
I can find the exterior angle of a triangle based on the exterior angle theorem. (8.G.5)
I can explore and verify relationships between the angles formed by a set of parallel lines cut by a transversal. (8.G.5)
I can explore and verify relationship between the interior and exterior angles of a triangle. (8.G.5)
Ready Teacher Toolbox Lesson 6: Describe Angle Relationships-Sessions 1-4
Lesson 7: Describe Angle Relationships in Triangles-Sessions 1-4
Assessment Tasks UPDATED 8th gr assessments 8.G.5 IAR sample questions 8.G.5 Proficiency Rubrics 8.G.5
Prior knowledge/Just in Time support & Enrichment RTTB Lesson 6: Op Art and Parallel Lines & Lesson 7: Midpoint Investigation
Nearpod Math lessons Open Middle tasks
Interactive manipulatives
“Closure in a lesson does not mean to pack up and move on. Rather, it is a cognitive activity that helps students focus on what was learned and whether it made sense and had meaning.” How the Brain Learns Mathematics (2007) P. 104
There are many ways to wrap up and reflect the day's activities but this step is often overlooked or rushed. Purposely plan and allow time for students to have closure each day (even if it means setting a timer or daily alarm so you don't run out of time).
Ideas for closure activities