## Unit 5 - Big Numbers, Estimation, & Computation

**Internet Connections**

Quizlet - Use this website to study and test your knowledge of math vocabulary.

Rectangle Multiplication - This virtual manipulative allows the user to visualize the product of two factors in three different ways: Grouping, Common, or Lattice.

Rectangle Division - Use this virtual manipulate to explore and practice division using pictures.

Recognizing Student Achievement

Student’s are making adequate progress if they can demonstrate the following:

Student’s are making adequate progress if they can demonstrate the following:

- use basic facts to compute fact extensions
- determine whether a number sentence is true or false
- explain use of estimation to solve addition problem
- use the Distributive Property of multiplication over Addition in the context of the partial -products algorithm
- use the partial-products algorithm
- estimate reasonable solutions to whole-number multiplication problems
- demonstrate automaticity with multiplication facts
- use extended multiplication facts in problem solving situations
- describe numeric patterns
- compare numbers up to 1 billion

**Vocabulary**

**estimate**- an answer hat should be close to an exact answer; estimates should be quick and easy

**extended multiplication facts**- a multiplication fact involving multiples of 10, 100 and so on; 6 * 70, 70 * 6, and 60 * 70 are extended multiplication facts

**exponent**-a small raised number used in exponential notation to tell how many time the base is used as a factor; 53 = 5 * 5 * 5 = 125 (3 is the exponent, 5 is the base)

**lattice method**- a very old way to multiply multidigit numbers

**magnitude estimate**- a rough estimate that tells whether an answer should be in the tens, hundreds, thousands, etc.

**millions**- the place value that is 7 places to left of the decimal point

**partial-products method**- a way of multiplying in which the value of each digit in one factor is multiplied by the value of each digit in the other factor; the final product is the sum of these partial products. Se the example below.

**power of 10**- a whole number that can be written as a product of 10s; for example, 100 is equa to 10 * 10.; 100 is called 10 to the second power

**quadrillions place**- the place value that is 16 places to the left of the decimal

**quintillions place**- the place value that is 19 places to the left of the decimal

**rounding**- to adjust a number making it easier to work with; often numbers are rounded to the nearest multiple of 10, 100, 1,000 and so on

**scientific notation**- a system for writing numbers in which a number is written as the product of a power of 10 and a number that is at least 1 and less than 10.

**trillions place**- the place value that is 13 places to the left of the decimal