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What is Geometry?
Geometry is the study of shapes and configurations.

What is Topology?
Topology is a branch of geometry.

Uses of Topology

Topology is used in many branches of mathematics, such as differentiable equations, dynamical systems, knot theory, and Riemann surfaces in complex variables. It is also used in string theory in physics, and for describing the space-time structure of universe.

GEOMETRY

How are geometric properties used to solve problems in everyday life?

How can plane and solid shapes be described?

How are geometric figures constructed?

What strategies can be used to verify symmetry and congruency?

How will a shape look when rotated, reflected, and/or translated?

How is the location of a point on a grid described?

How is this useful?

What types of problems are solved with measurement?

What are tools of measurement and how are they used?

What is the purpose of standard units of measurement?

How do units within a system relate to each other?

When is an estimate more appropriate than an actual measurement?

What strategies help estimate measurements?

How can information be gathered, recorded, and organized?

How does the type of data influence the choice of display?

What aspects of a graph help people understand and interpret the data easily?

What kinds of questions can and can not be answered from a graph?

The expected outcome of an event How is the probability of an event determined and described?