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Addition Algorithm Basics

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Addition Algorithm Basics

Addition Algorithm Basics

Students working with place value blocks

📊 Part 1: Place Value Understanding

1. Write the place value of each digit in the number 4,672:

4 is in the _____________ place

6 is in the _____________ place

7 is in the _____________ place

2 is in the _____________ place

2. Circle the correctly aligned addition problems:

234
+ 56
____

234
+56
____

234
+ 056
____

3. What does "algorithm" mean in mathematics?

🔢 Part 2: Addition Algorithm Practice

4. Solve these addition problems using the standard algorithm. Show your working:

a) 345 + 278 = _______

b) 1,456 + 2,387 = _______

c) 567 + 89 = _______

5. When adding 47 + 35, what happens in the units column?

Write 12 in the units place

Write 2 in units, carry 1 to tens

Write 7 in the units place

💰 Part 3: Real-Life Applications

6. The Year 7 class is planning a school event. They need to calculate their total budget:

• Decorations: $245

• Food: $378

• Entertainment: $156

Total budget needed: $ _______

7. Check all the steps that are important when using the addition algorithm:

Align numbers by place value

Start adding from the left

Regroup when the sum is 10 or more

Write numbers in any order

Check your answer makes sense

🤔 Part 4: Problem Solving & Reflection

8. Aroha made this mistake when adding. Explain what went wrong and show the correct solution:

Aroha's work:

234
+567
____
7911

Correct solution:

9. Match the vocabulary words with their meanings:
1. Algorithm
2. Regroup
3. Place Value
4. Align
A. Line up numbers correctly
B. Value of a digit based on position
C. Step-by-step procedure
D. Carry over to next column
10. Reflection: What is one important thing you learned about addition algorithms today?
11. What is one question you still have about addition algorithms?

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