Addition Problem Solving
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
🧠 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.
🔢 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
💡Addition
💡Addend
💡Sum
💡Place value
💡Regrouping
💡Base ten blocks
💡Part-Part-Whole
💡Standard algorithm
💡3 Read Strategy
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.
Transcripts
Today, we are going to practice solving math problems involving addition
Let's look at some important math language that we will use.
Equation: a number sentence that includes an equal sign.
Addition: the operation of combining two or more numbers to find the sum.
Addend, a number being added or joined together with another number.
Sum: the total when two or more addends are joined.
Let's solve the following math problem.
Houston's bakery makes peanut butter, chocolate and caramel cookies.
The shop baked 348
peanut butter, 252 chocolate
and 120 caramel cookies for the weekend.
How many cookies did Houston's bakery bake for the weekend altogether?
Let's use the 3 Read Strategy to solve this problem.
What is the story about?
It is about a bakery that is baking cookies of different flavors for the weekend.
What question is being asked?
How many cookies did Houston's bakery bake for the weekend altogether?
What you know and what you need to know.
I know that Houston's bakery made 348 peanut butter
cookies, 252 chocolate cookies,
and 120 caramel cookies.
I need to know the total number of cookies, the shop baked.
We can use a Part-Part-Whole map to understand better, "What do we need to
do?" We can see that
we need to find a whole by joining all the parts.
The number of peanut butter cookies, chocolate cookies, and caramel cookies.
Doing this, we will find the total number of cookies
the shop baked for the weekend.
We can add all the numbers using this equation.
Let's use what we know about place value to solve this addition equation.
We are going to represent the
addends 348, 252,
and 120 with base ten blocks.
We can represent the addend of 348
with 3 hundreds, 4 tens, and 8 ones.
The addend of 252 can be represented
with 2 hundreds, five tens, and 2 ones.
The addend of 120 can be represented
with 1 hundred and 2 tens.
Let's use a place value chart to add.
We will start by adding
the ones: 8 ones
and 2 ones make 10 ones.
We can regroup these 10 ones into 1 ten.
We can move this 10 to the tens column.
We have zero ones left.
Now let's add the tens:
4 tens, 5 tens, 2 tens,
and 1 ten make 12 tens.
We can regroup 10 tens into 1 hundred.
We can move this
hundred to the hundreds column, then have 2 tens.
To finish, we can add the hundreds.
If we work with the standard algorithm,
what we just did would look like this.
8 ones plus 2 ones
plus 0 ones is 10 ones.
Ten ones, make 1 ten.
This is the ten we regrouped from the ones. 4 tens
plus five tens, plus 2 tens
plus 1 ten is 12 tens.
10 tens make one hundred.
I regroup 10 tens to the hundreds.
Then I have 2 tens.
This is the hundred.
we've regrouped from the tens.
Now, 3 hundreds plus 2 hundreds
plus 1 hundred plus 1 hundred is 7 hundred.
The sum of 348, 252 and 120 is 720.
We know now the answer to the question in the problem:
How many cookies did Houston's bakery bake for the weekend altogether?
Houston's bakery baked a total of 720 cookies for the weekend.
That is a lot of cookies!
Can you think of another way to solve this math problem?
From today's lesson,
we learned how to use base ten blocks to represent and add numbers.
We also use the standard algorithm to add numbers up to the hundreds.
Keep up the great work, Scholars!
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