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Welcome to Place Value! – Learn about tens and ones – Tens are groups of 10, ones are single units. – Group numbers differently – 13 can be 1 ten and 3 ones or 13 ones. – Place value’s role in math – It helps us understand the value of a number. – Practice with examples – We’ll use blocks and drawings to learn. | This slide introduces the concept of place value, which is fundamental in understanding how numbers are built and used in math. Start by explaining that numbers are made up of tens and ones. Show visual examples with blocks or drawings to illustrate how the number 13, for example, can be seen as one group of ten and three ones, or as thirteen individual ones. Emphasize the importance of place value in understanding the size of numbers, comparing them, and using them in operations like addition and subtraction. Provide hands-on activities where students can manipulate objects to form different numbers, reinforcing the concept that the position of a digit in a number determines its value.

Understanding Place Value: Ones and Tens – What is place value? – It’s the value of where a digit is in a number. – Each place is 10 times the right – For example, in the number ’20’, the ‘2’ is in the tens place, making it worth 20. – Focus on ones and tens places – We’ll learn how the digits in these places make up numbers. – Practice with examples | This slide introduces the concept of place value, which is fundamental in understanding how numbers are constructed in our base-ten system. Emphasize that the position of a digit in a number determines its value. The ones place is the first place to the right, followed by the tens place, and each subsequent place is worth 10 times more than the one to its right. Use visual aids like blocks or drawings to show how 10 ones make a ten, and how numbers are formed by combining tens and ones. Have students practice by breaking down numbers into tens and ones and then regrouping to form new numbers. This will set the foundation for addition and subtraction with regrouping.

Understanding Tens and Ones – A ten is 10 ones grouped together – Exchange 10 ones for 1 ten – If you have 10 single blocks, you can swap them for 1 long block of ten. – Counting with tens and ones – Let’s try: 10, 20, 30… and then 1, 2, 3… – Practice exchanging and counting – We’ll use blocks to learn how to group and count by tens and ones. | This slide introduces the concept of place value, specifically focusing on tens and ones. Start by explaining that a ‘ten’ is simply a bundle of ten ‘ones.’ Use physical manipulatives like blocks or drawings to show how ten individual units can be grouped into one larger unit of ten. Demonstrate the exchange process, where 10 single units are replaced with a ‘ten block.’ Engage the class in counting by tens to reinforce the concept, and then mix in counting by ones to illustrate how numbers are composed of tens and ones. Provide hands-on activities where students can practice grouping ones into tens and counting various numbers using these groups. This foundational understanding will help them grasp more complex place value concepts in the future.

Making Numbers with Tens and Ones – Understand tens and ones – Example: 10 tens and 5 ones – 10 tens is 100, and 5 ones is 5 – Making 105 with tens and ones – Combine 100 and 5 to form 105 – Practice making numbers – We’ll try more examples in class! | This slide introduces the concept of place value, specifically focusing on tens and ones. Start by explaining that numbers are made up of tens and ones. Use physical objects like blocks or drawings to visually demonstrate the concept. For example, show 10 groups of ten blocks and 5 single blocks to represent 105. Encourage students to practice making numbers using tens and ones, both as a class and individually. Provide a variety of examples and use hands-on materials if possible to reinforce learning. The goal is for students to understand how to break down numbers into tens and ones and then reassemble them to form the original number.

Understanding Regrouping: Tens and Ones – Regroup when more than 9 ones – 10 ones make a new ten – Example: 15 ones regrouped – 15 ones is 1 ten and 5 ones – Practice regrouping with objects – Use items like blocks or coins to learn | This slide introduces the concept of regrouping in the context of place value, specifically focusing on tens and ones. Regrouping is necessary when the number of ones exceeds 9, and we start a new ten. For example, 15 ones can be regrouped into 1 ten and 5 ones. This is a fundamental concept in understanding place value and is crucial for addition and subtraction operations in math. To reinforce this concept, encourage students to practice with physical objects such as blocks or coins, grouping them into sets of ten to visually comprehend the regrouping process. This hands-on activity will help solidify their understanding of how numbers are composed and decomposed into tens and ones.

Practice Time: Regrouping Tens and Ones – Let’s practice regrouping together – We’ll solve the first example as a team – Try regrouping with individual examples – Use blocks or drawings to help visualize – Share your answers with the class – Explain your thinking when we regroup | This slide is designed to facilitate hands-on practice with regrouping tens and ones. Start by working through the first example as a class to model the process. Encourage students to use physical manipulatives like blocks or drawings to represent tens and ones, which can help them understand the concept of regrouping. After the group example, give students a set of problems to work on individually, allowing them to apply what they’ve learned. As they work, circulate the room to provide support and answer questions. Finally, bring the class together and have volunteers share their answers and explain the regrouping process they used. This will reinforce their understanding and allow them to learn from each other’s strategies.

Class Activity: Build a Number with Place Value Blocks – Work in groups with place value blocks – Create different numbers using blocks – Find multiple ways to form the same number – For example, make 23 using 2 tens and 3 ones or 1 ten and 13 ones – Present your number constructions to the class | This activity is designed to help students understand that numbers can be constructed in various ways using tens and ones. Divide the class into small groups and provide each group with a set of place value blocks. Encourage them to explore different combinations of tens and ones to create the same number. For instance, the number 23 can be made with 2 tens (20) and 3 ones, or with 1 ten (10) and 13 ones. After the activity, ask each group to share their findings with the class, discussing the different ways they constructed the same number. This will reinforce their understanding of place value and the concept of regrouping. Possible variations for different groups could include constructing numbers with constraints, such as using the least or the most blocks possible, or finding ways to represent a number without using any tens blocks.

Becoming Place Value Pros! – Celebrate learning tens and ones – Regrouping organizes numbers – Regrouping turns 15 into 1 ten and 5 ones – Practice makes perfect – Aim to be place value pros – Keep practicing with different numbers | This slide is meant to congratulate the students on their hard work learning about tens and ones and to reinforce the concept of regrouping as a way to organize numbers. It’s important to remind them that mastery comes with practice. Encourage them to continue practicing with different numbers to become confident in their understanding of place value. You can suggest some fun activities or games that involve regrouping to make their practice more enjoyable. Recognize their progress and motivate them to aim for excellence as ‘place value pros’.