Unit 5 Dilations, Similarity, & Introducing Slope
Accelerated Lesson
( Note, some activities are marked "OPTIONAL" in the student workbook to meet the accelerated pace.)
Standards
Learning Targets
Additional Resources
1
Addressing:
NC.8.G.3
NC.8.G.4
Building Toward:
NC.8.G.3
Building On:
NC.3.G .1
NC.4.MD.6
NC.6.NS.1
NC.7.G.1
I can decide if one rectangle is a dilation of another rectangle.
I know how to use a center and a scale factor to describe a dilation.
I can apply dilations to figures on a circular grid when the center of dilation is the center of the grid.
Projecting and Scaling
YouTube Video
Geometry Transformations Explained
Circular Grid
Digital Manipulative
2.3: Quadrilateral on a Circular
2.4: A Quadrilateral and Concentric Circles
YouTube Videos
Scale Factor of a Dilation Using a Circular Grid
Video Lesson Summary: Dilations From Illustrative Mathematics
2
I can apply a dilation to a polygon using a ruler.
I can apply dilations to figures on a rectangular grid.
If I know the angle measures and side lengths of a polygon, I know the angle measures and side lengths of the polygon if I apply a dilation with a certain scale factor.
Dilations with no Grid
Digital Manipulative
Geogebra
YouTube Video
Doing Dilations Without a Graph
Dilations on a Square Grid
Khan Academy Videos
Scaling Down a Triangle by Half
Khan Academy Practice
Video Lesson Summary: Dilations From Illustrative Mathematics
3
Addressing:
NC.8.G.3
NC.8.G.4
Building On:
NC.7.NS.3
I can apply dilations to polygons on a rectangular grid if I know the coordinates of the vertices and of the center of dilation.
I can apply a sequence of transformations to one figure to get a similar figure.
I can use a sequence of transformations to explain why two figures are similar.
More Dilations
Digital Manipulative
5.1: Many Dilations of a Triangle
YouTube Video
Dilation in the Coordinate Plane: Examples
IXL Math
Similarity
Khan Academy Video
Similarity Through Transformations
Digital Manipulative
6.2: Similarity Transformations (Part 1)
Khan Academy Practice
Similarity and Transformations
Video Lesson Summary: Dilations From Illustrative Mathematics
Video Lesson Summary: Similarity From Illustrative Mathematics
4
I know the relationship between angle measures and side lengths in similar polygons.
I can use angle measures and side lengths to conclude that two polygons are not similar.
Khan Academy Videos
Dilation Scale Factor Examples
Khan Academy Practice
Video Lesson Summary: Similarity From Illustrative Mathematics
5
I can find missing side lengths in a pair of similar triangles using quotients of side lengths.
I can decide if two triangles are similar by looking at quotients of lengths of corresponding sides.
6
Addressing:
NC.8.F.4
Building On:
NC.5.NBT.7
NC.5.NF.3
NC.8.G.4
I can draw a line on a grid with a given slope.
I can find the slope of a line on a grid.
Khan Academy Video
Digital Manipulative
10.3: Multiple Lines with the Same Slope
IXL Math
Video Lesson Summary: Slope From Illustrative Mathematics
7
Addressing:
NC.8.F.4
Building On:
NC.6.G.3
NC.7.RP.2
NC.8.G .4
I can decide whether a point is on a line by finding quotients of horizontal and vertical distances.
8
I can find an equation for a line and use that to decide which points are on that line.
9
Addressing:
NC.8.G.5
Building Toward:
NC.8.G.4
NC.8.G.5
Building On:
NC.7.RP.2
I can model a real-world context with similar triangles to find the height of an unknown object.