Use Models To Add A Two-Digit And A One-Digit Number - With Regrouping
Subject: Math
Grade: Second grade
Topic: Addition Strategies: Two Digits
Please LOG IN to download the presentation. Access is available to registered users only.
View More Content
Welcome to Addition Strategies!
– Learn a new way to add numbers
– Add a two-digit number to a one-digit
– Like 34 + 6, where 34 is two-digit and 6 is one-digit
– Use models for easy understanding
– We’ll use blocks or drawings to represent numbers
– Practice with fun activities
– We’ll solve problems together using these models
|
Today’s lesson introduces second graders to the concept of addition with regrouping, specifically adding a two-digit number to a one-digit number. Start by explaining the process step by step, using visual aids like blocks or number lines. Demonstrate how to line up the numbers by place value and add the ones first, then the tens. Emphasize the importance of carrying over (regrouping) when the sum of the ones exceeds 9. Provide several examples and encourage students to draw the models themselves. Incorporate engaging activities where students can practice this new skill in pairs or groups, ensuring they grasp the concept of regrouping. The goal is for students to become comfortable with this foundational math skill through interactive and visual learning.
Understanding Regrouping in Addition
– Regrouping: A math magic trick!
– Adding can give numbers over 9
– If we add 8 + 5, we get 13, which is more than 9
– Moving the extra to the next place
– We put the 1 in 13 into the tens place and keep the 3
– Regrouping helps us keep counting right
– It’s like carrying over in a game to score points correctly
|
This slide introduces the concept of regrouping, which is a fundamental skill in addition when dealing with two-digit numbers. Regrouping is necessary when the sum of the digits in one place value is greater than 9, and we need to carry over the extra to the next place value. Use examples like adding single-digit numbers that sum to a two-digit number to illustrate this concept. For instance, when adding 8 + 5, we get 13. We place the ‘1’ in the tens place and the ‘3’ stays in the ones place. This ensures that the value of the number is correct and that we continue to count accurately. Encourage students to practice with different numbers and to visualize the process using physical objects or drawings to reinforce the concept.
Understanding Place Value for Addition
– Place value in numbers
– Each digit has a value based on its position
– Review ones and tens
– Ones are single units, tens are groups of ten
– Using a place value chart
– Visual tool to organize numbers by place value
– Adding with regrouping
– When ones add up to 10 or more, we regroup to tens
|
This slide introduces the concept of place value, which is crucial for understanding addition with regrouping. Start by explaining that each digit in a number has a specific value depending on its position. Use examples to review the ones and tens places, such as 23 having 2 tens and 3 ones. Introduce a place value chart as a visual aid to help students organize numbers and understand their value. Finally, explain regrouping by showing that when we add numbers in the ones place and the sum is 10 or more, we need to ‘carry over’ to the tens place. Use simple examples and manipulatives like blocks or drawings to illustrate this concept.
Modeling Addition Without Regrouping
– Start with basic addition
– Example: 23 + 5
– Add 5 to the ones place: 3 + 5 = 8
– Add ones, then tens
– Since it’s less than 10, no regrouping needed
– Practice together on board
– We’ll add step by step as a class
|
This slide introduces students to the concept of addition without regrouping. Begin by explaining that we add numbers in the ones place first, followed by the tens place. Use the example 23 + 5 to illustrate this point. Show that when we add 5 to the 3 in the ones place, we get 8, which is less than 10, so we don’t need to regroup. Then, add the tens place as is since there’s no carry-over. Encourage students to come to the board to try similar problems, guiding them through the process. This hands-on activity will help solidify their understanding of basic addition without regrouping.
Understanding Regrouping in Addition
– Regrouping with larger ones
– Moving extra ones to tens
– Example: Adding 27 + 6
– 27 has 7 ones, add 6 ones equals 13 ones
– Regroup 10 ones into 1 ten
– 13 ones becomes 3 ones and 1 more ten, making 27 + 6 equal to 33
|
This slide introduces the concept of regrouping, a key strategy in addition when the sum in the ones place exceeds 9. Start by explaining that sometimes when we add numbers, the ones place can add up to more than 9, and we can’t have a two-digit number in the ones place. This is when we use regrouping to convert some of those ones into tens. Use the example of 27 + 6 to show that when we add the 7 ones to 6 ones, we get 13 ones, which is too many for the ones place. We then regroup by taking 10 out of those 13 ones and turning them into 1 ten, which we add to the tens place. This leaves us with 3 ones and 3 tens, making the sum 33. Encourage students to practice this method with different numbers and to prepare for hands-on activities in class where they will use physical objects to model this process.
Practice Time: Adding with Regrouping
– Let’s add 34 and 7 together
– Use blocks to visualize the numbers
– Blocks represent ones and tens for easy counting
– Draw the numbers to see the ones and tens
– Drawings help us understand how numbers combine
– Regroup if ones are more than 9
– Carry over to the tens place when you have 10 ones
|
This slide is for a class activity where students will practice adding a two-digit number with a one-digit number using regrouping. Provide students with blocks or other manipulatives to represent the ones and tens. Walk through the process of adding 34 and 7, emphasizing the concept of regrouping when the ones column exceeds 9. Encourage students to draw the numbers and blocks on paper to visualize the addition process. After the demonstration, allow students to try the example on their own, and then discuss as a class. Possible activities include: 1) Pairing up to solve additional problems, 2) Creating a poster of their drawn solution, 3) Using real objects to represent the numbers, 4) Writing a story problem that uses regrouping, 5) Playing a regrouping game with dice.
Math with Peers: Adding with Regrouping
– Pair up and solve: 45 + 8, 56 + 5
– Use blocks to model regrouping
– Stack blocks to represent tens and ones
– Draw your regrouping steps
– Show how tens and ones combine and change
– Share solutions with the class
|
This activity is designed to reinforce the concept of regrouping when adding a two-digit number with a one-digit number. Encourage students to work in pairs to foster collaboration and peer learning. Provide them with physical blocks to represent tens and ones, which will help them visualize the regrouping process. Ask them to draw the steps they took to solve the problems, illustrating how the ones are grouped into tens when necessary. After solving, each pair will present their method and answer to the class, allowing students to learn from each other’s strategies. Possible variations of the activity could include using different number combinations, incorporating subtraction problems, or challenging students to explain the regrouping process in their own words.
Class Activity: Addition Bingo
– Play Bingo using addition skills
– Solve problems with regrouping
– Add a two-digit number to a one-digit number and regroup if needed
– Mark your Bingo card correctly
– Aim for five in a row to win
|
This interactive class activity is designed to help students practice adding two-digit and one-digit numbers with regrouping in a fun and engaging way. Prepare Bingo cards with different addition problems that require regrouping. Guide students through solving a few examples as a class before starting the game. Encourage them to use models like base-ten blocks or number lines if they’re struggling. As students solve the problems and mark their cards, monitor their progress and offer assistance as needed. The first student to get five correct answers in a row on their Bingo card wins a small prize. This activity reinforces their addition skills and understanding of regrouping while also promoting a healthy competitive spirit.
Great Work on Addition with Regrouping!
– Congratulations on learning regrouping!
– Practice at home to master addition
– Homework: Finish the addition worksheet
– Use the strategies we learned to solve problems
– Bring any questions to our next class
– We’ll review any tricky problems together
|
This slide is meant to wrap up the lesson on adding two-digit and one-digit numbers with regrouping. It’s important to praise the students for their effort and encourage them to continue practicing at home to solidify their understanding. The homework assignment consists of a worksheet with additional problems for them to apply the regrouping strategy independently. Remind them to bring up any questions or difficulties they encounter during the next class so that you can address them together. This will help ensure that all students are confident in their ability to add with regrouping before moving on to more complex math concepts.