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Below are the objectives for Grade 7.  Click on the link  for students or  for teachers for any objective to see the resources available or to add your own resource.

Home - Math - Grade 7

 

Standard 3: Geometry and Spatial Sense

Resources

Benchmark

Indicator

 

D.   Identify, describe and classify types of line pairs, angles, two-dimensional figures and three-dimensional objects using their properties.

1.   Determine sufficient (not necessarily minimal) properties that define a specific two-dimensional figure or three-dimensional object. For example:

      a.   Determine when one set of figures is a subset of another; e.g., all squares are rectangles.

      b. Develop a set of properties that eliminates all but the          desired figure; e.g., only squares are quadrilaterals with all sides congruent and all angles congruent.

 

E.   Use proportions to express relationships among corresponding parts of similar figures.

1.   Use proportional reasoning to describe and express relationships between parts and attributes of similar and congruent figures.

1.   Determine and use scale factors for similar figures to solve problems using proportional reasoning.

  

F.   Describe and use the concepts of congruence, similarity and symmetry to solve problems.

1.   Determine necessary conditions for congruence of triangles.

2.   Identify the line and rotation symmetries of two-dimensional figures to solve problems.

  

G.  Describe and use properties of triangles to solve problems involving angle measures and side lengths of right triangles.

1.   Use and demonstrate understanding of the properties of triangles. For example:

a.       Use Pythagorean Theorem to solve problems involving right triangles.

b.       Use triangle angle sum relationships to solve problems.

2.   Apply properties of congruent or similar triangles to solve problems involving missing lengths and angle measures.

  

H.   Predict and describe results (size, position, orientation) of transformations of two-dimensional figures.

1.   Perform translations, reflections, rotations and dilations of two-dimensional figures using a variety of methods (paper folding, tracing, graph paper).

 

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