Grade 6 Whole Numbers Study Guide

Grade 6 Unit Test (Understanding Number) Study Guide

Students should be familiar with the following language:

·      Expanded Form – To write a number in expanded form, such as 8426, you break the number apart by place value (8000 + 400 + 20 + 6).

·      Standard Form – The standard form of a number is its numeral form, which we usually see the number in – 8426 is in standard form. Students should know how to write a number that is in expanded form or in the form of words (such as eight thousand, four hundred, twenty six) in standard form, and vice verse.

·      Estimate – A guess. The EXACT answer is not needed. If you the word estimate is used in an addition problem, round the two numbers being added and then find the sum. 

·      About – When you see the word “about” used in a math problem, such as “about how many cats were there in the house…” it is asking for you to estimate! 

·      Factors - Numbers that you can multiply together to get another number. In the multiplication sentences 2 x 3 = 6, 2 and 3 are factors.

·      Multiple – The result of multiplying a number by a whole number (integer). Example: 12 is a multiple of 3 because 3 x 4 = 12.

·      Integers – Whole numbers. Integers can be negative {-1, -2,-3, -4, -5, … }, positive {1, 2, 3, 4, 5, … }, or zero {0}.

·      Prime Numbers – A number greater than 1 that has exactly 2 factors (possible divisors), 1 and itself. Another way to define it is: A number greater than 1 that can be divided evenly only by 1 or itself.

·      Composite Numbers – A number with more than 2 factors. Or, a number that can be divided up evenly.

Students should know how to use estimation strategies to round numbers.  They should be able to round numbers to the nearest ten, hundred, thousand, and ten thousand, and to round using the front-end estimation strategy (refer to handout for definitions/examples).

Students should be able to order integers from least to greatest. A good strategy to do this is by using a number line.

Students should be able to demonstrate an understanding of factors and multiples by determining multiples and factors of numbers less than 100, identifying prime and composite numbers, and solving problems using multiples and factors. Students should be familiar with how to use a factor tree.

Students should be able to know what order to do the operations in when given an expression with more than one operation. Remember: BEDMAS (Brackets first, Exponents, Division and Multiplication, Addition and Subtraction).

Search any of these concepts on mathisfun.com for great explanations and examples if you need further clarification.