Interactivate: Standard Expectation

18 items total

Organization: North Carolina Standard Course of Study
Grade Band: Geometry
Standard Goal: 2. The learner will use geometric and algebraic prope...ies of figures to solve problems and write proofs.

a. Triangles.
b. Quadrilaterals.
c. Other polygons.
d. Circles.
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a. Triangles.

Length, Perimeter, and Area	Lesson: Introduces students to length, perimeter and area.
Pythagorean Explorer	Activity: Calculate the length of one side of an automatically generated right triangle by using the Pythagorean Theorem, and then check your answers. Pythagorean Explorer is one of the Interactivate assessment explorers.
Sierpinski's Triangle	Activity: Step through the generation of Sierpinski's Triangle -- a fractal made from subdividing a triangle into four smaller triangles and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.
Squaring the Triangle	Activity: Learn about how the Pythagorean Theorem works through investigating the standard geometric proof. Parameters: Sizes of the legs of the triangle.
Transmographer	Activity: Explore the world of translations, reflections, and rotations in the Cartesian coordinate system by performing transformations on squares, triangles and parallelograms. Parameters: Shape, x or y translation, reflections across vertical and horizontal lines, angle and point of rotation.
Triangle Explorer	Activity: Calculate the area of a triangle drawn on a grid. Learn about areas of triangles and about the Cartesian coordinate system. Triangle Explorer is one of the Interactivate assessment explorers.

b. Quadrilaterals.

Geometry in Tessellations	Lesson: Explores lines, planes, angles, and polygons in tessellations.
Tessellations: Geometry and Symmetry	Lesson: Examines plane symmetry.
Floor Tiles	Activity: Build a "floor tile" by dragging the corners of a quadrilateral. Learn about tessellations created from quadrilaterals when the shape you build is tiled over a plane.

c. Other polygons.

Geometry in Tessellations	Lesson: Explores lines, planes, angles, and polygons in tessellations.
Length, Perimeter, and Area	Lesson: Introduces students to length, perimeter and area.
Perimeter	Lesson: Introduces students to the concept of perimeter.
Tessellations: Geometry and Symmetry	Lesson: Examines plane symmetry.
Fractured Pictures	Activity: Generate complicated geometric fractals by specifying starting polygon and scale factor.
Shape Explorer	Activity: Learn the difference between perimeter and area. A random shape will be automatically generated. Calculate the area and perimeter of this shape. Shape Explorer is one of the Interactivate assessment explorers.
Tessellate!	Activity: Create a tessellation by deforming a triangle, rectangle or hexagon to form a polygon that tiles the plane. Corners of the polygons may be dragged, and corresponding edges of the polygons may be dragged. Parameters: Colors, starting polygon.
Transmographer	Activity: Explore the world of translations, reflections, and rotations in the Cartesian coordinate system by performing transformations on squares, triangles and parallelograms. Parameters: Shape, x or y translation, reflections across vertical and horizontal lines, angle and point of rotation.

d. Circles.

Conic Flyer

Activity: Manipulate different types of conic section equations on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph. Choose from vertical or horizontal parabola, circle, ellipse, and vertical or horizontal hyperbola.