This course is available in the Fall and Spring Semesters.
Description:
For qualifying students, this second-semester course reinforces
students’ understanding of mathematical concepts in preparation for
higher level courses. Students learn to create, analyze, and interpret
graphs in their study of statistics. Geometry continues to be explored,
with students classifying polygons and using measurement skills to find
the perimeter, area, and volume of geometric figures. In addition to
learning basic probability and permutations, students begin their
algebra studies with solving equations and inequalities.
Units:
Geometry
In
this unit, you will explore plane geometry, including lines and angles
that will become very important as you begin to study geometry. You will
begin measuring angles, and classifying them according to their
measures. Once you grasp the concept of the figures, you will learn
about bisectors and how these lines can become shapes and polygons.
Finally, you will discover congruent figures and the many dimensions of
circles and circle graphs.
Geometry and Measurement
In
this unit, you will use your knowledge about geometry to estimate and
find the area of shapes. The previous unit covered how to identify the
parts of a circle and now you will use this knowledge to find the area.
You will also learn how to determine surface area and volume of various
figures. Finally, you will examine squares and square roots.
Patterns and Rules
In
this unit, you will take a detailed look at sequences, patterns, and
functions and decide what information is valuable for your purpose.
Then, you will examine tables, graphs, and formulas to solve problems.
Finally, you will solve problems that involve simple and compound
interest.
Graphing in the Coordinate Plane
In
this unit, you will use your knowledge of graphing and expand it to
understand how to find the slope of a line. You will work within the
coordinate plane to determine the relationships between lines and points
in all of the quadrants. Finally, you will explore nonlinear
relationships and the different ways that shapes can move on a plane:
reflection, rotation, and symmetry.
Displaying and Analyzing Data
In
this unit, you will use different visual applications to graph and
display data. Some applications include frequency tables, box-and
whisker plots, scatter plots, stem-and-leaf plots, histograms, and
spreadsheets. You will read about sampling and random surveys to collect
information.
Using Probability
In
this unit, you will work with both theoretical and experimental
probability. You will be given various circumstances in which to use
probability and understand that it is an important aspect of mental
math. Finally, permutations and combinations will be used to help you
master the complexity of geometry.
Course Sets
Lesson Manual/Course Guide
- Gifted and Talented Math 5 A and B Course Guide
Online Text/eBook
- iText Prentice Hall Mathematics: Course 2