Addition Problem Solving

HISD DMOL

7 Oct 202106:08

Summary

TLDRIn this lesson, students learn how to solve addition problems using key math concepts. The video explains terms like equation, addition, addend, and sum. Through a real-world problem involving cookies at a bakery, students practice the 3 Read Strategy and use place value charts to add numbers. The lesson demonstrates the use of base ten blocks and the standard algorithm to regroup and add values, showing that the bakery baked a total of 720 cookies. The engaging lesson reinforces addition skills and encourages students to think of alternate ways to solve the problem.

Takeaways

📚 The lesson focuses on solving math problems involving addition.
🧮 An equation is defined as a number sentence that includes an equal sign.
➕ Addition is the operation of combining two or more numbers to find the sum.
🔢 An addend is a number being added or joined together with another number.
✅ The sum is the total when two or more addends are combined.
🍪 The bakery baked 348 peanut butter, 252 chocolate, and 120 caramel cookies, and the task is to find the total number of cookies.
📝 The 3 Read Strategy is used to break down the problem: understanding the story, identifying the question, and determining known and unknown information.
🧱 Base ten blocks and a place value chart are used to visually represent and solve the addition equation.
🔄 The lesson teaches how to regroup ones and tens when necessary, moving them to the next place value.
🎉 The total number of cookies baked by Houston's bakery is 720, and the lesson reinforces addition with base ten blocks and the standard algorithm.

Q & A

What is an equation?
-An equation is a number sentence that includes an equal sign.
What is addition?
-Addition is the operation of combining two or more numbers to find the sum.
What is an addend?
-An addend is a number being added or joined together with another number.
What is the sum?
-The sum is the total when two or more addends are joined.
What is the story in the problem about?
-The story is about a bakery that is baking cookies of different flavors for the weekend.
What question is being asked in the problem?
-The question is asking how many cookies Houston's bakery baked for the weekend altogether.
What do we know and what do we need to know to solve the problem?
-We know that Houston's bakery made 348 peanut butter cookies, 252 chocolate cookies, and 120 caramel cookies. We need to know the total number of cookies the shop baked.
How can we find the total number of cookies baked?
-We can use a Part-Part-Whole map to understand that we need to join all the parts (peanut butter, chocolate, and caramel cookies) to find the whole.
How do we represent the addends with base ten blocks?
-348 can be represented with 3 hundreds, 4 tens, and 8 ones; 252 can be represented with 2 hundreds, 5 tens, and 2 ones; and 120 can be represented with 1 hundred and 2 tens.
How do we use a place value chart to add the numbers?
-We start by adding the ones, regrouping if necessary, then add the tens and regroup again if necessary, and finally add the hundreds.
What is the final sum of 348, 252, and 120?
-The sum of 348, 252, and 120 is 720.
How many cookies did Houston's bakery bake for the weekend altogether?
-Houston's bakery baked a total of 720 cookies for the weekend.
What alternative method could be used to solve this problem?
-An alternative method could be using the standard algorithm to add the numbers up to the hundreds.
What did we learn from today's lesson?
-We learned how to use base ten blocks to represent and add numbers, and we also used the standard algorithm to add numbers up to the hundreds.

Outlines

00:00

🧠 Introduction to Addition and Solving a Math Problem

This paragraph introduces the topic of addition and explains key mathematical terms such as 'Equation', 'Addition', 'Addend', and 'Sum'. It presents a real-world math problem about Houston's bakery baking different flavors of cookies (peanut butter, chocolate, and caramel) and asks how many cookies were baked in total. The problem-solving strategy '3 Read Strategy' is introduced, where the problem is broken down into parts: understanding the context (baking cookies), the question being asked (how many cookies were baked altogether), and identifying the known information (the number of each type of cookie) and what needs to be found (the total). The Part-Part-Whole map is suggested as a tool to organize the information, leading to the conclusion that all the cookie counts need to be added together to find the total.

05:01

🔢 Using Base Ten Blocks and Place Value to Solve

This paragraph focuses on solving the problem using place value and base ten blocks. It breaks down the process by explaining how to represent the numbers 348, 252, and 120 using base ten blocks (hundreds, tens, and ones). The step-by-step addition is demonstrated, starting with the ones, then regrouping tens and hundreds as necessary. It then connects this visual method to the standard algorithm, showing how addition works by regrouping digits. The paragraph concludes with the result of adding the ones, tens, and hundreds to find that the total number of cookies is 720.

🍪 Final Result and Reflection on Problem-Solving

This paragraph reveals the final answer to the problem: Houston's bakery baked a total of 720 cookies. It reflects on the steps used to arrive at this solution, emphasizing the effectiveness of both base ten blocks and the standard algorithm in solving addition problems. The speaker encourages students to think of alternative methods for solving the problem and praises their work, reinforcing the importance of understanding addition and place value.

Mindmap

Keywords

💡Equation

An equation is a number sentence that includes an equal sign, showing that two expressions are equal. In the video, it refers to the process of solving a math problem using addition to find a total sum. The equation in the example is used to calculate the total number of cookies baked.

💡Addition

Addition is the operation of combining two or more numbers to find their sum. It is central to the video as it shows how to add the number of peanut butter, chocolate, and caramel cookies to find the total amount baked for the weekend.

💡Addend

An addend is a number being added to another number. In the video, the addends are 348 (peanut butter cookies), 252 (chocolate cookies), and 120 (caramel cookies), and these numbers are combined to find the total number of cookies.

💡Sum

The sum is the total when two or more addends are combined. In this case, the sum represents the total number of cookies baked by Houston's bakery, which is 720. The video walks through the process of calculating this sum.

💡Place value

Place value refers to the value of each digit in a number based on its position. The video demonstrates how place value is important when adding numbers like 348, 252, and 120 by breaking them into hundreds, tens, and ones to simplify the addition process.

💡Regrouping

Regrouping involves rearranging or carrying numbers from one place value to another. The video shows how ones are regrouped into tens, and tens into hundreds during the addition process to make the math easier and more organized.

💡Base ten blocks

Base ten blocks are a visual tool used to represent numbers in hundreds, tens, and ones. In the video, base ten blocks help illustrate how to break down numbers like 348 and 252, making it easier to understand how to add them step by step.

💡Part-Part-Whole

Part-Part-Whole is a strategy used to solve math problems by understanding how parts (like the number of cookies in each flavor) come together to form a whole (the total number of cookies baked). The video uses this method to help solve the problem of finding the total number of cookies.

💡Standard algorithm

The standard algorithm is a traditional method for solving addition problems by stacking numbers vertically and adding them column by column. In the video, the standard algorithm is demonstrated as a structured way to add the cookies baked.

💡3 Read Strategy

The 3 Read Strategy involves reading a math problem three times: first to understand the context, second to identify the question, and third to determine what information is known and what needs to be found. This strategy helps the viewer break down and solve the bakery cookie problem efficiently.

Highlights

Introduction to solving math problems involving addition.

Explanation of key math terms: Equation, Addition, Addend, and Sum.

Real-world math problem about a bakery baking cookies of different flavors.

Problem-solving strategy: using the 3 Read Strategy to analyze the problem.

Understanding the problem: We need to find the total number of cookies baked.

Breaking down the problem into parts: peanut butter, chocolate, and caramel cookies.

Introduction of the Part-Part-Whole model to represent the addition process.

Visual representation of the problem using base ten blocks.

Step-by-step breakdown of how to add 348, 252, and 120 using place value.

Regrouping ones into tens and tens into hundreds during the addition process.

Use of the standard algorithm to perform the addition.

Final calculation: 348 + 252 + 120 = 720 cookies.

Answer to the question: The bakery baked a total of 720 cookies.

Reflection on the lesson: Using base ten blocks and standard algorithm to add numbers.

Encouragement to think of other ways to solve math problems and reinforcement of the learned methods.