Download MA118 Topic Review for Final exam Chapter 2 Be able to list the

MA118 Topic Review for Final exam
Chapter 2
Be able to list the elements of the natural numbers and whole number.
Be able to describe a set three ways—word description, listing in braces, set builder notation.
Understand and be able to apply complements, subsets, intersections, unions, and disjoint sets.
Be able to work with Venn diagrams.
Understand nominal, ordinal, and cardinal numbers.
Understand concepts of equivalent and equal sets.
Be able to demonstrate and know when to apply the models for addition, subtraction, multiplication, and
division. Know the names of each number in an addition, subtraction, multiplication or division problem.
Be able to apply the properties of whole numbers. Be sure to understand closure under addition and
multiplication.
Know the properties of exponents.
Chapter 3
Be able to demonstrate the place value system using units, strips and mats.
Understand and be able to demonstrate the algorithms for addition, subtraction, multiplication and division.
Be able to explain 0/n, n/0, and 0/0.
Be able to count in other bases and model numbers in other bases with units, strips and mats.
Be able to convert from base b to base 10 and from base 10 to base b.
Be able to add in other bases.
Chapter 4
Know the definition of a prime and composite number and be able to list both sets.
Be able to write the prime factorization of a number using a factor tree or short division.
Be able to list all divisors or proper divisors of a given number.
Be able to find the least common multiple and the greatest common divisor using intersection of sets and prime
factorization.
Be able to solve problems using GCF or LCM.
Know and be able to demonstrate the divisibility tests for 2, 3, 4, 5, 6, 8, and 10 work.
Chapter 9
Know that point, line and plan are the three undefined terms in Euclidean geometry. Be able to describe and
name these figures.
Know the definitions and be able to name a ray, line segment and angle.
Know the definition and be able to identify the 5 types of angles (acute, obtuse, right, straight and reflex).
Be able to classify a triangle according to its sides and its angles.
Be able to demonstrate 3 ways why the sum of the angles of a triangle is 180 degrees. We used paper to
demonstrate the first two ways in class, but you should be able to draw pictures to explain. You can draw a
diagram to explain the last method using parallel lines.
Be able to use the fact that sum of the angles of a triangle equals 180 degrees to find the sum of the angles of
any polygon.
Be able use the theorem that says vertical angles have the same measure.
Be able to identify corresponding and alternate interior angles and understand their relationship to parallel
lines.
Be able to identify the different types of quadrilaterals and understand the relationship between them.
Be able to find angle measures and explain your reasoning in diagrams with parallel lines, triangles, and
quadrilaterals.