Adding Polynomials
The purpose of this lesson is for students to understand that the rules for adding polynomials are analogous to the rules for adding integers. Students apply the rules for addition by building upon previous knowledge and understanding of polynomial terms.
GED Content Areas
Algebra and Functions
Factoring Polynomials
The purpose of this lesson is for students to understand that the rules for factoring polynomials involve the simultaenous satisfaction of a very specific addition and multiplication calculation by using specific parts of the polynomial. This calculation is able to give the inverse result of a multiplication problem, and has direct application to may geometry questions. Finally, factoring a polynomial involves higher-order thinking skills that are helpful and analagous to the type of thinking required int he real world in order to solve complex problems involving more than one variable; particularly in the cases where recursive reasoning is necessary.
GED Content Areas
Algebra and Functions
Hospital Beds, Nurse’s Aides, and the Future
The purpose of this lesson is for the student to research and present to others the long-term health care options in their locale from the perspective of a potential patient, healthcare worker, and employer. The lesson will require locating information from various sources, interpreting charts and graphs, improving communication skills, and making cross-curricular connections into math, social studies and science. Furthermore, this lesson could be used to demonstrate research and presentation skills (either in written editorial or orally in a civic group meeting) necessary to lobby for improved work conditions and improved health care in their community.
GED Content Areas
Number and Ratios
Algebra and Functions
How Steep Is It?
In this lesson, students evaluate and compare slope of a line in different ways. Students will use the formula for slope, similar triangles, and grade percentage to evaluate and compare slope of a line. Students will plan for a wheelchair accessible ramp and determine the percent grade of a mountain during this lesson. Students will learn about ADA Guidelines and safe mountain driving for truck drivers during the lesson.
Students come to understand that greater rates of change are indicated by steeper slopes on graphs in the coordinate plane. Also students will be able to compare positive and negative slopes.
GED Content Areas
Algebra and Functions
Multiply Polynomials
The purpose of this lesson is for students to understand that the rules for multiplying polynomials are analogous to the rules for multiplying integers. Students apply the rules for multiplying by building upon previous knowledge and understanding of polynomial terms.
GED Content Areas
Algebra and Functions
Subtracting Polynomials
The purpose of this lesson is for students to understand that the rules for subtracting polynomials are analogous to the rules for subtracting integers. Students apply the rules of subtraction by building upon previous knowledge and understanding of polynomial terms.
Understanding polynomial operations is siginificant because it is the first major area outside of the basic two-step, one-variable algebra problems that are traditionally taught to students at the beginning levels in algebra.
The real world often requires that people be able to make sense of multiple variables that are numerous yet related. Understanding the rules of polynomial operations is one way to abstractly model many of those kinds of situations.
GED Content Areas
Algebra and Functions
Talking to the Problem: Questioning Techniques for Geometry
The purpose of this lesson is to introduce students to questioning strategies to help them assess, and apply concepts to geometry material. Student will develop these thinking/reasoning skills, in order to study and prepare for their GED test.
GED Content Areas
Algebra and Functions
Geometry
Understanding Polynomials: A Brief Introduction
The purpose of this lesson is to develop a student foundation for understanding the components of polynomials, including the use of variables, exponents, constants, and mathematical operators. By understanding the basic components of polynomials, students will become prepared for operations among polynomials, similar to what students will have accomplished previously with operations among numbers or linear equations.
GED Content Areas
Algebra and Functions
Using Formulas in Real Life (Including Geometry Formulas)
The purpose of this lesson is for students to be able to look for and use structure and also to proficiently work with algebraic algorithms and formulas in real world situations, so that they can solve problems.
GED Content Areas
Algebra and Functions