How this resource helps
A positive dilation scales every side and every distance from its fixed center by k, but preserves angles. Supporting lines through the center remain the same; others are distinct parallel lines when k≠1. The identity k=1 leaves all points and lines unchanged. Measurements and coordinates test all four properties. Standard NC.M2.G-SRT.1: Verify experimentally the properties of dilations with given center and scale factor: NC.M2.G-SRT.1a When a line segment passes through the center of dilation, the line segment and its image lie on the same line. When a line segment does not pass through the center of dilation, the line segment and its image are parallel. NC.M2.G-SRT.1b The length of the image of a line segment is equal to the length of the line segment multiplied by the scale factor. NC.M2.G-SRT.1c The distance between the center of a dilation and any point on the image is equal to the scale factor multiplied by the distance between the dilation center and the corresponding point on the pre-image. NC.M2.G-SRT.1d Dilations preserve angle measure.
What’s Included
- One editable 16:9 PowerPoint with 35 slides and teacher speaker notes on every slide.
- Full standard and all its subparts, unpacking, essential question, learning goals, warm-up, vocabulary and teaching routine.
- Five worked models, guided practice, partner work, five scored independent items, small-group intervention and an open extension.
- Matched blank/completed guided notes, a three-item exit ticket and reflection.
- Editable mathematical diagrams, tables and graphs where relevant. Graphing calculator or spreadsheet activities are included where required by the standard.
Resource details
- Grade / course
- NC Math 2
- Subject and resource type
- Mathematics · PowerPoint Lesson
- Files
- 0 main PDF pages · 35 editable slides · PPTX
- Estimated completion time
- 45–60 minute lesson
- Answer key
- Teacher answer guidance is included in the speaker notes on every slide.
Standard or objective
NC.M2.G-SRT.1 — Verify experimentally the properties of dilations with given center and scale factor: NC.M2.G-SRT.1a When a line segment passes through the center of dilation, the line segment and its image lie on the same line. When a line segment does not pass through the center of dilation, the line segment and its image are parallel. NC.M2.G-SRT.1b The length of the image of a line segment is equal to the length of the line segment multiplied by the scale factor. NC.M2.G-SRT.1c The distance between the center of a dilation and any point on the image is equal to the scale factor multiplied by the distance between the dilation center and the corresponding point on the pre-image. NC.M2.G-SRT.1d Dilations preserve angle measure.
Verify experimentally the properties of dilations with given center and scale factor: NC.M2.G-SRT.1a When a line segment passes through the center of dilation, the line segment and its image lie on th
Original Saint Pierre Learning Resources lesson aligned to the North Carolina Standard Course of Study for NC Math 2 Mathematics.
Learner directions
Students work through each slide as the teacher directs, completing practice and exit-ticket items.
Teaching suggestions
Project each slide in order. Follow the teacher models, then guide practice as labeled on each slide.