Making Addition Easier: A Place Value Adventure!

Math Grades 1st Grade 7:27 Video
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Lesson Description

Learn how to make adding numbers easier by using groups of tens and ones. We'll use a trick to change the numbers so they are simpler to add in our heads!

Video Resource

Solving 3-digit addition in your head | 2nd grade | Khan Academy

Khan Academy

Duration: 7:27
Watch on YouTube

Key Concepts

  • Place Value (Tens and Ones)
  • Making Ten
  • Decomposing Numbers
  • Adding in your head (Mental Math)

Learning Objectives

  • Students will be able to identify the tens and ones in a two-digit number.
  • Students will be able to use the 'making ten' strategy to simplify addition problems.
  • Students will be able to decompose (break apart) a number to make another number easier to add.
  • Students will be able to perform simple addition mentally.

Educator Instructions

  • Introduction (5 mins)
    Start by asking students what they already know about adding numbers. Show them the video 'Solving 3-digit addition in your head | 2nd grade | Khan Academy' from Khan Academy. Explain that they will learn a trick to make addition easier.
  • Exploring Place Value (10 mins)
    Review place value (tens and ones). Use manipulatives like blocks or counters to represent numbers. For example, show the number 23 and explain that it's 2 tens and 3 ones.
  • Making Ten Strategy (15 mins)
    Introduce the 'making ten' strategy. For example, to add 8 + 5, show how to break apart 5 into 2 + 3. Add the 2 to the 8 to make 10, then add the remaining 3. So, 8 + 5 = 8 + 2 + 3 = 10 + 3 = 13.
  • Practice Problems (15 mins)
    Work through several practice problems as a class, guiding students through each step. Use smaller numbers to reinforce place value understanding. Present problems in a story format as well. For example: Sarah has 7 apples and John has 5. How many apples do they have in all?
  • Wrap-up (5 mins)
    Review the key concepts and strategies learned. Ask students to share their favorite part of the lesson.

Interactive Exercises

  • Number Bonds
    Use number bonds to show how to break apart numbers to make ten. For example, in 7 + 5, the number bond would show 5 broken into 3 and 2, so that the 3 could be added to 7 to make 10.
  • Online Game: Making 10
    Play an online game focused on making ten to reinforce the strategy in a fun and engaging way. Some examples include: https://www.abcya.com/games/make_a_ten or https://www.splashlearn.com/addition-games-for-1st-graders

Discussion Questions

  • What is place value, and why is it important?
  • How does 'making ten' help us add faster?
  • Can you think of a time when adding in your head would be helpful?
  • What does it mean to decompose a number?

Skills Developed

  • Addition Fluency
  • Mental Math
  • Place Value Understanding
  • Problem Solving

Multiple Choice Questions

Question 1:

What does it mean to break apart a number?

Correct Answer: To write it in a new way

Question 2:

What is 10 + 3?

Correct Answer: 13

Question 3:

Which numbers make 10?

Correct Answer: 6 + 4

Question 4:

What is 5 + 2?

Correct Answer: 7

Question 5:

Which one is 'ten and five'?

Correct Answer: 15

Question 6:

Which of these shows how to make 10 when adding 8 + 4?

Correct Answer: 8 + 2 + 2

Question 7:

If you have 6 blocks, how many more do you need to make 10?

Correct Answer: 5

Question 8:

What is 10 + 7?

Correct Answer: 17

Question 9:

Which of these numbers has 2 tens?

Correct Answer: 20

Question 10:

What is place value?

Correct Answer: The value of a digit in a number

Fill in the Blank Questions

Question 1:

10 and 2 more is ____.

Correct Answer: 12

Question 2:

When adding 6 + 4, we can make a ____.

Correct Answer: 10

Question 3:

The number 15 has 1 ____ and 5 ones.

Correct Answer: ten

Question 4:

8 + 2 = ____.

Correct Answer: 10

Question 5:

To 'make a ten' means to add numbers until we get to ____.

Correct Answer: 10

Question 6:

10 + 6 = ____.

Correct Answer: 16

Question 7:

The number 26 has 6 ____.

Correct Answer: ones

Question 8:

If you break 7 into 5 and 2. What would you add to 3 to make ten? Add ___ to 7?

Correct Answer: 7

Question 9:

The 4 in 45 means 4 ____.

Correct Answer: tens

Question 10:

If i have 8 toy cars, how many do I need to have 10 toy cars? I need ____ more toy cars?

Correct Answer: 2

Educational Standards

1.NBT.C.4:Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten. 1.OA.C.6:Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 - 4 = 13 - 3 - 1 = 10 - 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 - 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).

Teaching Materials

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