Multiplication Properties

1. Multiplication Properties Commutative - You can always multiply numbers in any order and the product will be the same. Ex: 5 x 4 = 20 & 4 x 5 = 20 Property of One - When one of the factors is 1, the product equals the other number. Ex: 5 x 1 = 5 Associative Property – You can group factors differently and the product will be the same. Ex: (4 x 4) x 2 = 4 x (4 x 2) Zero Property - When one factor is 0, the product is 0. Ex: 8 x 0 = 0

2. Perimeter • The distance around a figure. • Formula = square = 4s • Rectangle = 2l + 2w • All other shapes – add ALL sides

3. AREA The number of square units needed to cover a surface. Area = length x width 8 cm. 8 x 3 = 24 square cm. 3 cm.

4. Area of a Triangle • Formula: ½ bh or bh 2 • A triangle is half of a rectangle/square so we use the same formula but cut it in half. • EX: 6 in. 12in. Area of the rectangle would be 6 X 12 = 72 sq. in. Area of the triangle would be (6X12) ÷ 2 = 36 sq. in.

5. Volume The measure of the space a solid figure occupies. Volume is measured in cubic units. Volume = length x width x height V = L X W X H 8 x 3 x 4 = 96 cubic inches 8 in. 3 in. 4 in.

6. Factors Numbers multiplied together to find a product. Ex: The factors of 12 are 1, 2, 3, 4, 6, and 12 Greatest Common Factor (GCF) The greatest number that is a factor of each or two or more numbers. The greatest common factor is 6. The factors of 12 are = 1, 2, 3, 4, 6, 12 The factors of 18 are = 1, 2, 3, 6, 9, 18

7. Prime Numbers A number that has exactly 2 factors, 1 and the number itself. Ex: 3, 5, 7, 11, 13 Composite Numbers Numbers that have more than two factors. Ex: 4, 6, 8, 9, 10

8. Metric Units Length: - millimeter (mm) - centimeter (cm) - decimeter (dm) - meter (m) 1 meter = 10 decimeters, 100 centimeters, 1,000 millimeters 1 decimeter = 10 centimeters, 100 millimeters 1 centimeter = 10 millimeters

9. Capacity : - milliliter (mL) - liter (L) - kiloliter (kL) 1 liter = 1,000 milliliters 1 kiloliter = 1,000 liters Weight (Mass) : -gram (g) - kilogram (kg) -milligram (mg) 1 gram = 1,000 milligrams 1 kilogram = 1,000 grams

10. Parallel Lines Lines that will always be the same distance apart , they will never cross Perpendicular Lines Lines that cross each other to make a perfect right angle Intersecting Lines Lines that meet or cross each other

11. Ray A part of a line that has one endpoint and extends indefinitely in one direction.

12. Line A set of points in a line that goes on forever in both direction. Line Segment A part of a line defined by two endpoints.

13. Angle Two rays that share an endpoint

14. Right Angle An angle that measures exactly 90 °.

15. Obtuse Angle An angle with a measure greater than 90° and less than 180°.

16. Acute Angle An angle with a measure less than 90°.

17. Straight Angle An angle with a measure of exactly 180°.

18. Polygon A closed figure made only of straight lines.

19. Quadrilateral A four sided polygon.

20. Trapezoid A quadrilateral with exactly two parallel sides.

21. Rectangle A quadrilateral with two pairs of congruent, parallel sides and four right angle.

22. Square A rectangle with four congruent sides and four right angles.

23. Parallelogram A quadrilateral with two pairs of parallel AND congruent sides.

24. Rhombus A parallelogram with all four sides equal in length.

25. Isosceles Triangle A triangle with two congruent sides. 3 cm. 3 cm. 2 cm.

26. Scalene Triangle A triangle in which each side is a different length. 4 cm. 2 cm. 3 cm.

27. Equilateral Triangle A triangle with all sides congruent. 2 cm. 2 cm. 2 cm.

28. Obtuse Triangle A triangle which has one obtuse angle.

29. Acute Triangle A triangle with 3 acute angles.

30. Right Triangle A triangle with 1 right angle.

31. Congruent Figures Figures that have the same size and same shape.

32. Similar Figures Figures that have the same size OR the same shape. They do not have both.

33. Line Symmetry When a figure can be folded on a line so that it’s two parts are congruent.

34. Radius A line segment that connects the center with a point on the circle. Chord Chord Diameter A line segment that connects any two points on a circle. Diameter A chord that passes through the center of a circle. Circumference Radius The perimeter of a circle.

35. Radius A line segment that connects the center with a point on the circle. Radius

36. Diameter A chord that passes through the center of a circle. Diameter

37. Chord A line segment that connects any two points on a circle. Chord

38. Circumference The perimeter of a circle.

39. Transformation Anytime you move a figure, you transform it. The transformations are translation, rotation, and reflection.

40. Translation Aka - slide A transformation that slides a figure in a given distance and in a given direction.

41. Reflection Aka - flip A transformation that creates a mirror image of a figure on the opposite side of a line .

42. Rotation Aka - turn A transformation in which a figure is turned around a point.

43. Face A plane figure that serves as one side of a solid figure.

44. Edge The line segment where two faces of a solid figure meet.

45. Vertex A point on a polyhedron where three or more faces intersect.

46. Base A special kind of face. The shape could “rest” on it.

47. Prism A 3-Dimensional figure that has two congruent and parallel faces that are polygons. The rest of the faces are parallelograms.

48. Pyramid A 3-Dimensional figure whose base is a polygon and whose other faces are triangles that share a common vertex.

49. Volume The number of cubic units it takes to fill a solid. V = L x W x H

50. Equivalent Fractions Fractions that name the same number or amount. 3 6 4 8 Improper Fraction Fraction in which the numerator is bigger than the denominator. You must DIVIDE to make it into a mixed number. EX: 25 4