Vertical Articulation of Individual
Grade Expectations for Mathematics
Vermont‘s Framework of Standards and Learning Opportunities 

Standard  M:13 Similarity

Introduction: 

Standard M:13 focuses on the development of conceptual understanding of similarity.

Kindergarten

MK: 13   No MK: 13 at this grade level

First Grade

M1: 13   No M1: 13 at this grade level

Second Grade

M2: 13 No M2: 13 at this grade level

Third grade

M3: 13 No M3: 13 at this grade level

Fourth Grade

MM4: 13 Demonstrates conceptual understanding of similarity by applying scales on maps, or applying characteristics  of similar figures
    (same shape, but not necessarily the same size) to identify similar  figures, or to solve problems involving similar figures. Describes
     relationships using models or^sc explanations. M(G&M)–4–5

Fifth grade

M5: 13 Demonstrates conceptual understanding of similarity by describing the proportional effect on the linear  dimensions of polygons when
 scaling up or down while preserving the angles of polygons, or by solving related problems (including applying scales on maps).
 Describes effects using models or explanations.

Sixth Grade

M6: 13 Demonstrates conceptual understanding of similarity by describing the proportional effect on the linear dimensions of polygons or circles   
           when scaling up or down while preserving the angles of polygons, or by solving related problems (including applying scales on maps).
           Describes effects using models or^sc explanations. M(G&M)–6–5  And applies concepts of similarity using constant of proportionality/scale
           factor to make larger and smaller scale drawings.

 Seventh Grade

M7: 13 Applies concepts of similarity by solving problems involving scaling up or down and their impact on angle  measures, linear dimensions and
           areas of polygons, and circles when the linear dimensions are multiplied by a constant factor. Describes effects using models or^sc
           explanations. M(G&M)–7–5 

Eighth Grade

M8: 13 Applies concepts of similarity to determine the impact of scaling on the volume or surface area of three-dimensional figures when linear
           dimensions are multiplied by a constant factor; to determine the length of sides of similar triangles, or to solve problems involving growth and
           rate and makes scale drawings.

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