Hauptinhalt
Nebraska Math
Grade 8: GEOMETRY
Students will solve problems and reason with geometry using multiple representations, make connections within math and across disciplines, and communicate their ideas.
Determine and use the relationships of the interior angles of a triangle to solve for missing measures.
- Angles in a triangle sum to 180° proof
- Find angles in isosceles triangles
- Find angles in triangles
- Finding angle measures using triangles
- Isosceles & equilateral triangles problems
- Triangle angle challenge problem
- Triangle angle challenge problem 2
- Triangle angles review
- Triangle exterior angle example
- Worked example: Triangle angles (diagram)
- Worked example: Triangle angles (intersecting lines)
Identify and apply geometric properties of parallel lines cut by a transversal and the resulting corresponding same side interior, alternate interior, and alternate exterior angles to find missing measures.
Perform and describe positions and orientations of shapes under single transformations including rotations in multiples of 90 degrees about the origin, translations, reflections, and dilations on and off the coordinate plane.
- Determine translations
- Determining translations
- Determining translations
- Dilate triangles
- Dilating shapes: expanding
- Dilating shapes: shrinking by 1/2
- Dilations and properties
- Dilations and properties
- Dilations: scale factor
- Dilations: scale factor
- Identify transformations
- Identifying transformations
- Reflect shapes
- Reflecting shapes
- Reflecting shapes
- Reflections review
- Rigid transformations intro
- Rotations intro
- Side lengths after dilation
- Translate shapes
- Translating shapes
- Translating shapes
- Translations intro
- Translations review
Determine if two-dimensional figures are congruent or similar.
Perform and describe positions and orientations of shapes under a sequence of transformations on and off the coordinate plane.
Apply the Pythagorean Theorem to find side lengths of triangles and to solve authentic problems.
- Intro to the Pythagorean theorem
- Pythagorean theorem example
- Pythagorean theorem in 3D
- Pythagorean theorem in 3D
- Pythagorean theorem intro problems
- Pythagorean theorem with isosceles triangle
- Pythagorean theorem word problem: carpet
- Pythagorean theorem word problem: fishing boat
- Pythagorean theorem word problems
- Use area of squares to visualize Pythagorean theorem
- Use Pythagorean theorem to find area of an isosceles triangle
- Use Pythagorean theorem to find isosceles triangle side lengths
- Use Pythagorean theorem to find perimeter
- Use Pythagorean theorem to find right triangle side lengths
Find the distance between any two points on the coordinate plane using the Pythagorean Theorem.
Determine the volume of cones, cylinders, and spheres and solve authentic problems using volumes.