In this task, using computer software, you will apply reflections, rotations, and translations to a triangle. You will then study what happens to the side lengths and angle measures of the triangle after these transformations have been applied. In each part of the question, a sample picture of the triangle is supplied along with a line of reflection, angle of rotation, and segment of translation: the attached GeoGebra software will allow you to experiment with changing the location of the line of reflection, changing the measure of the angle of rotation, and changing the location and length of the segment of translation.

The purpose of this task is for students to practice plotting points in the coordinate plane and finding the areas of polygons. This task assumes that students already understand how to find areas of polygons by decomposing them into rectangles and triangles;

The purpose of this task is for students to apply the calculation of distances on a coordinate plane to a real life context (6.G.3).

The goal of this task is to study the circumferences of different sized circles, both using manipulatives and from the point of view of scaling.

The purpose of this task is for students to translate between measurements given in a scale drawing and the corresponding measurements of the object represented by the scale drawing.

The purpose of this task is for students to solve a contextual problem where there are multiple entry points to this geometry based concept.

The goal of this task is to gather together knowledge and skills from the seventh grade in a context which prepares students for the important eighth grade notion of similarity.

The purpose of this task is to apply knowledge about triangles, circles, and squares in order to calculate and compare two different areas.

Students' first experience with transformations is likely to be with specific shapes like triangles, quadrilaterals, circles, and figures with symmetry. Exhibiting a sequence of transformations that shows that two generic line segments of the same length are congruent is a good way for students to begin thinking about transformations in greater generality.

This task gives students a chance to explore several issues relating to rigid motions of the plane and triangle congruence.

The purpose of this task is for students to use what they know about area to find the areas of special quadrilaterals.

The purpose of this task is for students to experiment with composition and decomposition of polygons to examine shapes in a real world context.

This is the second in a series of four tasks that gradually build in complexity. The purpose of this series of tasks is to build in a natural way from accessible, concrete problems involving volume to a more abstract understanding of volume. In this iteration, we do away with the lines that delineate individual unit cubes (which makes it more abstract) and generalize from cubes to rectangular prisms. However, the calculations are the same as in 6.G Computing Volume Progression 1.

The goal of this task is to work with nets for three-dimensional shapes and use them to calculate surface area.

The goal of this task is to gather together knowledge and skills from the seventh grade in a context which prepares students for the important eighth grade notion of similarity.

The purpose of this task is to help students differentiate between a circle and the region inside of the circle so that they understand what is being measured when the circumference and area are being found.

The purpose of this task is for students to find the area and perimeter of figures composed of squares and fractions of circles.

The purpose of this task is to help students visualize one way to derive the formula for the area of a circle, which uses the formulas for the circumference of a circle and the area of a parallelogram

The purpose of this task is for students to find a way to decompose a regular hexagon into congruent figures.

The purpose of this activity is to help students think a little more flexibly about the concept of area before studying, generally, the areas of triangles and special quadrilaterals.