This course is available in the Fall and Spring Semesters only.
Description:
Gifted math students begin this course in middle school to provide opportunity for advanced study in high school.
This is course is the second part of a two-part sequence covering
Algebra 1. A foundational understanding of real number operations,
expressions, equations, inequalities, and functions is expected. This
course will introduce the student to exponents and use those exponent
rules to solve exponential functions. The student will learn how to
identify and solve polynomial equations using a variety of methods
including factoring. The student will also learn how to work with
quadratic functions and equations and represent both of those on a
coordinate plane. Students will work with and solve both radical and
rational expressions and equations. Finally, the student will be
introduced to statistics and learn to how use data to apply to
probability problems in theory in and real-world scenarios.
Throughout the course problem solving, critical thinking, and real world application of mathematical concepts will be required.
Units:
Exponents and Exponential Functions
In
this unit, you will learn about expressions involving exponents in
several forms. You will learn about zero and negative exponents and use
what you know about exponents to solve problems using standard and
scientific notation. You will learn and apply the rules for
multiplication and division of expressions involving exponents. Finally,
you will evaluate exponential functions and use exponential functions
to solve real world problems of exponential growth and decay.
Polynomials and Factoring
In
this unit, you will learn how to classify, add, and subtract
polynomials. You will also learn to multiply polynomials and monomials,
and how to factor polynomials using GCF. You will then find the squares
of a binomial, the sum and difference of squares, the product of a sum
and difference, and you will factor higher-degree polynomials.
Quadratic Functions and Equations
In
this unit, you will learn how to work with quadratic functions and
quadratic equations. You will learn to graph functions in several forms
and solve both quadratic equations and quadratic functions. You will
also learn to choose between different models to display data, and
finally, you will solve systems of linear and quadratic equations. These
topics will be important foundational skills for your study of higher
level mathematics.
Radical Expressions and Equations
In
this unit you will work with radicals applied to many different types
of problems. To begin, you will work with the Pythagorean Theorem and
right triangles, using radicals in your solutions to those problems.
Then you will learn to simplify and rationalize radicals, followed by
solving problems using radicals in expressions and equations. You will
learn to identify extraneous solutions to radical equations and graph
their solutions. Finally, you will find and use trigonometric ratios and
apply what you have learned to real-world scenarios.
Rational Expressions and Functions
In
this unit you will work with rational expressions and equations. To
begin, you will learn to simplify rational expressions. Then, you will
learn to multiply and divide rational expressions and polynomials. You
will also learn to simplify complex fractions. You will learn to define
inverse variations and compare direct and inverse variations, as well as
graphing rational functions.
Data Analysis and Probability
In
this unit, you will explore data analysis and probability. To begin,
you will organize data in a matrix form and learn to add, subtract, and
perform scalar multiplication using matrices. You will work with various
graphic representations of data including tables, histograms,
box-and-whisker plots, and line graphs. Using data, you will explore
measures of central tendency including mean, median, mode, and range.
Finally, you will work with permutations, combinations, and independent
and dependent events.
Gifted and Talented Math 7 B Review and Exam
This
unit reviews concepts from Semester B of the Algebra 1 course. The unit
begins with a review assignment which intends to help the student
recall topics from Units 1 – 6. You will also spend time utilizing the
one page review guides created at the end of each unit. These review
guides contain key vocabulary, points to remember, and sample problems
that you can rework. Practice opportunities from the textbook are
included. The assessment is included at the conclusion of the unit in
the form of the semester exam.
Online Text/eBook
- iText Algebra 1: On Level