1. Integer - all whole numbers and their opposites
2. Opposite numbers- two numbers that have the same magnitude, but are opposite in signs (they have the same absolute value).
3. Absolute Value - the distance a number is from zero on the number line
4. Negative Integer - a number less than zero
5. Positive integer - a number greater than zero
Integer Rules
6. When adding and the signs are the same, add and keep the sign
7. When adding and the signs are different, subtract and keep the sign of the larger absolute value
8. When subtracting, add the opposite
9. When multiplying and dividing when the signs are the same, the answer is positive
10. When multiplying and dividing when the signs are different, the answer is negative.
Laws of Exponents
11. When I multiply and the base is the same, I must add the exponents
12. When I divide and the base is the same, I must subtract the exponents
13. When we raise a power to a power, we must multiply the exponents
14. Anything raised to the zero power equals one
15. When I have a negative exponent, I must rewrite it as the reciprocal
Definitions for Module 1
16. Scientific Notation - A number is written in scientific notation when it is represented a number multiplied by a power of ten. The number must be at least one, but less than 10 (one digit that is not zero in front of the decimal)
17. Order of magnitude - the exponent on the power of ten for a number written in Scientific Notation
18. Perfect Square - the square of an integer (a number multiplied by itself)
19. Perfect Cube - The cube of an integer (A number multiplied by itself three times)
Definitions for Module 2
20. Figure - Original shape before transformation
21. Image - Copy of figure after transformation
22. Congruent - One figure is congruent to another figure if there is a sequence of rigid motions that maps the figure onto the other
23. Rigid Motion - the result of any movement of the plane in which distance between any two points stays the same
24. Translation - A rigid motion that "slides" a figure and maps it onto its image
25. Reflection - A rigid motion that "Flips" a figure and maps it onto its image
26. Rotation - A rigid motion that "turns" a figure and maps it onto its image
27. Vector - A directed line segment
28. Vertical angles - created when two lines intersect. Opposite each other when two lines intersect
29. Corresponding angles - when two lines are cut by a transversal, angles that lie on the same side of the transversal in corresponding positions
30. Alternate Interior Angles - When two lines are cut by a transversal, non adjacent angles that lie on the inside of the parallel lines, but on opposite sides of the transversal
31. Alternate Exterior Angles - When two lines are cut by a transversal, non adjacent angles that lie on the outside
of the parallel lines, but on opposite sides of the transversal
32. Supplementary Angles - Angles that have a sum of 180 degrees
33. Complementary Angles - Angles that have a sum of 90 degrees
Definitions for Module 3
34. Angle-angle criterion - if two triangles have two pairs of congruent angles, then the triangles are similar
35. Dilation - a transformation that has a center and uses a scale factor larger than zero.
A scale factor less than one creates a reduction.
A scale factor larger than one creates an enlargement
36. Congruent - same shape, same angles, same size
37. Similar - same shape, same angles, proportional size
38. Triangle sum theory - When we add all of the interior angles of a triangle, the sum is 180 degrees
39. External angles of a triangle - an external angle of a triangle is equal to the sum of its two remote interior angles