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General Math II begins with a thorough review of the four basic mathematical operationsâ€â€ÂÂaddition, subtraction, multiplication, and divisionâ€â€ÂÂas a foundation for the more advanced topics covered next, such as order of operations, factors, multiples, powers, roots, equations, and inequalities.
It also introduces geometry (from the Greek words geo, meaning Earth, and metria, meaning measurement). Created by the ancient Egyptians and enhanced by the ancient Greeks (e.g., Euclid, many of whose rules or truths are still used today), geometry includes the study of points, lines, surfaces, and solids.
The course contains four study units:
Numbers and Operations
Equations and Inequalities
Geometry: Terms, Perimeter, Circumference
Geometry: Area and Volumeâ€â€ÂÂand there are four exams
Upon completion of this course, students will be able to:
Solve addition, subtraction, multiplication, and division problems more easily
Solve multi-step problems using the rules of the order of operations
Find the factors of a number
Determine whether a number is prime or composite
Use and evaluate exponential expressions
Use the power of 10 and scientific notation
Explain the difference between a perfect square and a square root
Solve simple equations, and also word problems using equations
Give examples of positive and negative numbers
Use the four basic operations with positive and negative numbers
Give examples of monomials and polynomials
Simplify polynomials by combining like monomials
Simplify and solve one-step and multi-step equations
Use the four basic operations to solve inequalities
Translate problems into equations and inequalities
Identify and name points, lines, line segments, rays, planes, angles, and vertices
Identify and name various angles: acute, right, obtuse, straight, adjacent, vertical,
complementary, and supplementary
Identify parallel and perpendicular lines, and regular and irregular polygons
Identify a circle, its radius and its diameter, and calculate its circumference
Compute the perimeter of polygons, quadrilaterals, and triangles
Solve equations using the basic principles of geometry
Identify different types of quadrilaterals and triangles
Use formulas to calculate the area of squares, rectangles, triangles, and circles
Use the Pythagorean theorem to find the length of a missing side in a right triangle
Use formulas to compute the volume of cubes, cylinders, and rectangular solids
Solve equations using the principles of geometry