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Welcome to Addition Properties! – Discovering how addition works – Learning addition rules – Rules like Commutative, Associative, and Identity properties – Making addition easier – These rules help solve addition problems quickly – Becoming addition experts | This slide is designed to introduce third-grade students to the fundamental properties of addition. Start by explaining that addition is not just about putting numbers together; it follows specific rules that make calculations easier. Introduce the Commutative Property (changing the order of numbers doesn’t change the sum), the Associative Property (changing the grouping of numbers doesn’t change the sum), and the Identity Property (adding zero to a number gives the number itself). Use simple and relatable examples to illustrate each property. Encourage the students to think of addition as a tool they can master, setting them on the path to becoming ‘addition experts’. The goal is to build a strong foundation that will support their future math learning.

Exploring Addition – What is addition? – Putting together numbers to get a sum – Adding increases total – When we add, the amount we have gets bigger – Examples of addition – 2 apples + 3 apples = 5 apples, 4 stars + 1 star = 5 stars | This slide introduces the concept of addition to third-grade students. Start by explaining that addition is the process of combining two or more numbers to find their total, which is called the sum. Emphasize that when we add, the total amount we have increases. Use tangible examples like apples or stars to illustrate this point, as it helps students visualize the concept. Encourage students to think of their own examples of things they can add together. This foundational understanding sets the stage for learning more complex addition properties and operations.

Exploring the Commutative Property – Commutative Property explained – It means the order of adding doesn’t change the sum – Add numbers in any order – Example: 4 + 5 equals 5 + 4 – Both give us 9, showing order doesn’t matter – Let’s practice with examples! – We’ll add different numbers together and see it’s true every time | The Commutative Property of Addition is a fundamental concept that helps students understand that the order in which two numbers are added does not affect the sum. Start by explaining the property clearly and provide the example given. Then, engage the students with a few practice problems where they can apply this property themselves. For instance, ask them to try 3 + 7 and then 7 + 3, or 2 + 9 and then 9 + 2, to see that the sums are the same. This interactive approach will help solidify their understanding that addition is flexible with order. Encourage them to think of their own number pairs to share with the class.

Exploring the Associative Property – Associative Property grouping – We can add using different groupings – Example with numbers – (2 + 3) + 4 equals 2 + (3 + 4) – Grouping numbers activity – Try regrouping numbers to see the result | The Associative Property of addition tells us that no matter how we group numbers when we add, the sum remains the same. It’s important for students to understand that the property allows flexibility in calculation, which can simplify complex problems. Use the example provided to show how the sum does not change even when the grouping of numbers changes. Encourage students to practice this property by grouping different sets of numbers and adding them to see if they get the same result. This will help reinforce the concept and show them a practical application of the Associative Property.

Identity Property of Addition – Adding zero keeps number same – The number stays its true self, unchanged – Example: 7 + 0 equals 7 – See, the sum is still 7, just like we started! – Like zero cookies to a friend – Your friend had 5 cookies, you gave 0, still 5! | The Identity Property of Addition states that when you add zero to any number, the sum is the number itself. It’s like having a certain amount of something, say cookies, and if you don’t add any more, you still have the same amount. Use the example of giving zero cookies to a friend to make it relatable for third graders. They will understand that their friend’s cookie count doesn’t change. This concept is fundamental in understanding that zero is the neutral element in addition. During the presentation, encourage the students to think of other examples where adding zero doesn’t change the amount. This will help solidify their understanding of the Identity Property.

Using Properties Together – Making addition easier with properties – Breaking down big addition problems – Example: 356 + 214 = (300 + 200) + (50 + 10) + (6 + 4) – Order and grouping can change – The total always remains the same | This slide aims to show students how to apply the properties of addition to simplify complex problems. Emphasize that by using the commutative, associative, and identity properties, they can rearrange and group numbers in a way that makes them easier to add. Use an example with a large sum to demonstrate breaking it down into smaller, more manageable parts. Highlight that no matter how the numbers are ordered or grouped, the total sum remains unchanged. Encourage students to practice with different numbers and to verify that their total is consistent, reinforcing their understanding of these properties.

Class Activity: Addition Art – Create addition problems with blocks – Demonstrate Commutative Property – Switch the order of blocks and see the total doesn’t change – Show Associative Property in action – Group blocks differently, the total is the same – Share and explain your block art | This activity is designed to help students understand the Commutative and Associative Properties of addition through a hands-on experience. Provide students with colored blocks to construct their own addition problems. Encourage them to physically rearrange the blocks to see that the Commutative Property means you can add in any order and still get the same result. For the Associative Property, guide them to group blocks differently without changing the order of addition, showing that the total remains constant. After creating their ‘addition art’, students will present their findings to the class, explaining how the properties are demonstrated in their work. This will reinforce their understanding and allow them to practice their presentation skills. Possible variations for different students could include using different numbers of blocks, incorporating subtraction to show the relationship between addition and subtraction, or challenging them to find multiple ways to demonstrate the properties with their blocks.