Ways to make a number using addition

Learning Objectives Identify various pairs of whole numbers that sum to a given target number. Systematically list all unique combinations of two whole number addends for a target number. Discover multiple combinations of three or more whole number addends for a given sum. Apply the commutative property of addition to understand that the order of addends does not change the sum. Solve simple word problems that require finding different ways to make a number using addition. Represent addition combinations using number sentences and visual models. Ever wonder how many different ways you can get to a specific number using addition? 🤔 Let's explore the fascinating world of number combinations! In this lesson, you'll learn how to systematically find all the different...

TermDefinitionExample AddendA number that is added to another number.In the equation 3 + 5 = 8, the numbers 3 and 5 are the addends. SumThe result obtained when two or more numbers are added together.In the equation 3 + 5 = 8, the number 8 is the sum. Target NumberThe specific sum or total that you are trying to achieve by adding numbers together.If you want to find ways to make 10, then 10 is your target number. Combination of AddendsA set of numbers that, when added together, result in a specific sum or target number.For the target number 7, (2, 5) is a combination of addends, and (1, 3, 3) is another combination. Partition of a NumberThe different ways a whole number can be expressed as a sum of positive whole numbers, where the order of the addends does not matter.The partitions of 3...

Sum of Two Addends $Addend_1 + Addend_2 = Target\ Number$ This rule defines the basic structure for finding two numbers that add up to a specific total. You can use this to explore pairs of numbers. Sum of Multiple Addends $Addend_1 + Addend_2 + ... + Addend_n = Target\ Number$ This rule extends the concept to include any number of addends that sum to a target number. The 'n' indicates that there can be many addends. Commutative Property for Unique Combinations $a + b = b + a$ When asked for 'unique combinations' or 'partitions', this rule helps us understand that (2+5) and (5+2) are considered the same combination, as the order of addends does not change the sum. We typically list them only once.