Q3W10 March 11-14 Regular

TeacherCarol Brackin
Subject AreaRegular Math
Grade Level7
Week #27
Unit of InstructionGeometry
Standard(s) Taught

MAFS.7.G.1.3  Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.

MAFS.7.G.2.4 Know the formulas for the area and circumference of a circle and solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

Learning Targets and Learning Criteria

Students will discover the two-dimensional shapes that result from slicing three-dimensional figures (vertically and horizontally).

Students will develop three-dimensional visualization skills as they see the resulting two-dimensional shapes.

Students will explain the relationship between circumference and diameter of a circle using correct mathematical vocabulary.

Students will solve mathematical and real-world problems by applying the area of a circle and circumference formulas.

Students will discover through hands-on experience and explain the relationship between the circumference and area of a circle.

Classroom Activities

Students will work with diagrams of 3-D figures to determine what shapes result when figures are sliced.  They will also work in groups with kinetic sand to actually slice 3-D shapes, identify resulting shapes, and draw them on a lab sheet.

Students will review triangle side length constraints (from last week) in a center by placing various lengths of cardboard together to see if they form a unique triangle or no triangle.

Students will prove the sum of the interior angles of a triangle in a center with paper triangles.

Students will learn the formulas for the area and circumference of a circle using Pi or 3.1415926 . . .  and test the circumference ratio in a center with string they measure around the perimeter of the circle.

Students will make Pi banners for our Pi Day celebration on Thursday, 3/14.

Assignments Due

Lab report – drawings of 3-D figures labeled and drawn cross-sections.

Worksheet on cross-sections of 3-D figures.

Lab report on sum of interior angles of a triangle.

Worksheet on triangle side length measures and sum of interior angles.

A quiz on angles, triangles, and finding the measure of angles will be on Wednesday.

Lab report from center with circle circumference measures using string.

Circle circumference and area worksheets for classwork and homework.

Pi Banner flags.

 

Additional Resources

I’m using videos from Study.com to which I subscribe.  These videos can be viewed in tutoring or at lunch if a student is absent.

The Math Space e-text has information and formulas for the circle work we will do.  I don’t often use this platform for circle assignments because it uses a lengthy version of Pi which creates rounding errors in student responses.