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Understanding Place Value – Each digit has a value – The position of a digit tells us its value. – Numbers have different forms – Standard form: 123, Expanded form: 100+20+3 – Standard form to expanded – 456 in expanded form is 400+50+6 – Expanded form to standard – 300+70+5 becomes 375 in standard form | This slide introduces the concept of place value, which is fundamental in understanding math. Each digit in a number has a specific value depending on its position. We’ll explore how to write numbers in standard form (like 123) and expanded form (like 100+20+3), which breaks down the number according to the value of each digit. Activities will include converting numbers from standard to expanded form and vice versa. This will help students visualize the value of digits and enhance their number sense. Encourage students to use place value blocks or drawings to represent numbers in both forms.

Understanding Place Value – What is place value? – It’s the value of where a digit is in a number. – Place value grows by tens – Each step to the left is 10x larger: 1, 10, 100… – Exploring ones, tens, hundreds – Numbers have different places: 1s, 10s, 100s. – Importance of each digit’s position | This slide introduces the concept of place value, which is fundamental to understanding numbers in math. Explain that the value of each digit depends on its position in the number. For example, in the number 345, the ‘5’ is in the ones place and represents 5 ones, the ‘4’ is in the tens place and represents 4 tens (or 40), and the ‘3’ is in the hundreds place and represents 3 hundreds (or 300). Emphasize that as we move left in a number, each place is 10 times bigger than the one before it. Use visual aids like place value charts to help students grasp the concept. Encourage students to practice by breaking down numbers into ones, tens, and hundreds to see how place value works.

Understanding Standard Form – Standard form: normal number writing – Example: 253 is a standard form number – Like how you write numbers every day – It represents 2 hundreds, 5 tens, 3 ones – Breakdown: 200 (2 hundreds) + 50 (5 tens) + 3 (3 ones) – Practice converting to expanded form – Turn 253 into 200 + 50 + 3 | This slide introduces students to the concept of standard form, which is the typical way of writing numbers. Use the example of 253 to show students how each digit represents a different place value (hundreds, tens, ones). Emphasize that standard form is just a compact way of showing how much of each place value a number has. Encourage students to practice by picking numbers and breaking them down into their place values, then converting them into expanded form to reinforce the concept.

Understanding Expanded Form – What is expanded form? – It shows the value of each digit in a number. – Breaking down place value – Each digit is given its full value based on its position. – Example: 253 in expanded form – 200 + 50 + 3 shows hundreds, tens, and ones places. – Practice with different numbers | This slide introduces the concept of expanded form, which is a way of writing numbers to show the value of each digit. It’s important for students to understand that each digit in a number has a different value depending on its position. For example, in the number 253, the ‘2’ is in the hundreds place and is worth 200, the ‘5’ is in the tens place and is worth 50, and the ‘3’ is in the ones place and is worth 3. To practice, have students convert various numbers into expanded form, reinforcing their understanding of place value. This exercise will help them visualize how numbers are constructed and deconstructed, which is a fundamental skill in mathematics.

Let’s Practice Expanded Form! – I’ll show you a number – Understand each digit’s value – Each digit has a place value – Writing 467 in expanded form – 467 = 400 + 60 + 7 – Practice makes perfect | This slide is designed to be interactive, where the teacher will show the number 467 and guide the students through the process of writing it in expanded form. Emphasize the value of each digit according to its place in the number. For example, in 467, the ‘4’ is in the hundreds place, so it represents 400, the ‘6’ is in the tens place, so it represents 60, and the ‘7’ is in the ones place, so it represents 7. The expanded form is therefore 400 + 60 + 7. Encourage students to practice with different numbers and to verbalize their thought process as they break down the numbers into their expanded forms.

Your Turn: Standard and Expanded Form – Write numbers in standard form – Convert to expanded form – Break down the number into place value parts, like 300 + 40 + 5 for 345 – Share your answers – Discuss with classmates and explain your thinking | This slide is designed to engage students in practicing the conversion between standard and expanded form. Encourage them to choose any number they like and write it down in standard form. Then, guide them to break the number into its place value components to express it in expanded form. For example, the number 345 is broken down into 300 (hundreds), 40 (tens), and 5 (ones). After they have completed the task, ask them to share their work with the class. This will help them to articulate their understanding and learn from each other. Provide support and clarification as needed, and ensure that each student feels confident in their ability to convert between the two forms.

Class Activity: Place Value Craft – Create your place value chart – Build numbers with base-ten blocks – Use blocks to represent ones, tens, and hundreds – Write numbers in standard form – Standard form: Combine all the digits into one number – Show numbers in expanded form – Expanded form: Write the value of each digit separately | This activity is designed to help students understand place value in a hands-on way. Provide each student with base-ten blocks and a blank chart. Guide them to use the blocks to build a number, starting with hundreds, then tens, and ones. Once they’ve built a number, they should write it down in standard form (e.g., 342). Next, they should convert this number into expanded form by writing the value of each place (e.g., 300 + 40 + 2). Encourage creativity in designing their charts. Possible variations of the activity could include using different numbers, working in pairs, or challenging students to find the expanded form of numbers provided by the teacher.

Becoming a Place Value Pro! – Congratulations on learning place value! – Mastered standard and expanded form – Standard form: 123; Expanded form: 100+20+3 – Practice makes perfect – The more you practice, the better you’ll get! – You’re on your way to being a pro! | This slide is a celebration of the students’ achievements in understanding place value and their ability to convert between standard and expanded forms. It’s important to reinforce their confidence by acknowledging their hard work. Remind them that continued practice is key to mastering any math concept. Encourage them to keep practicing with different numbers, both in class and at home. Offer some fun ways to practice, like playing place value games or creating their own numbers to convert. This positive reinforcement helps solidify their learning and motivates them to continue improving their skills.