Module 5 Lesson 14. Objective  Use math drawings to represent subtraction with up to two decompositions, relate drawings to the algorithm, and use addition.

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Presentation transcript:

Module 5 Lesson 14

Objective  Use math drawings to represent subtraction with up to two decompositions, relate drawings to the algorithm, and use addition to explain why the subtraction method works.

Application Problem  Brienne has 23 fewer pennies than Alonzo. Alonzo has 45 pennies.  How many pennies does Brienne have?  How many pennies do Alonzo and Brienne have altogether?

Application Problem Brienne has 23 fewer pennies than Alonzo. Alonzo has 45 pennies.

CORE Fluency Practice  For the remainder of the year, each day’s fluency will include an opportunity for review and mastery of the sums and differences with totals through 20 by means of the Core Fluency Practice Sets or Sprints.  You will complete as many problems as you can in 120 seconds (2 minutes).  On your mark, get set, THINK!  If you completed your sheet completely, turn it in!

Using the Nearest Ten  Raise your hand when you know 16 –9.  10 – 9 is…?  is…? 10 – 96

Subtract Common Units  Say the number in unit form.  Say the subtraction sentence and answer in unit form.  Write the subtraction sentence on your boards – 22 = ____. 555 – 33= ____.55 – 33= ____. 266 – 44= ____. 66 – 44= ____.88 – 33= ____.

Concept Development  Problem 1: 584 – 147  Would it be easy to solve this problem mentally?  Ah! Part of your job as students is to know which tools make your work easier. The algorithm is an excellent choice for a problem like this.  Rewrite the problem with me.  Now, let’s make a math drawing using place value disks, because that will help us make sense of the numbers. First, tell your partner what you will draw.  I like the way you used place value language. Let’s draw our models. Whisper-count the total as you draw the disks.  Do we need to draw 147?  Excellent part–whole thinking!

Concept Development  Let’s set up the problem to subtract. We need to draw a…?  Let’s ask our questions. Are we ready to subtract in the ones place?  Where can we get some more ones?  Let’s show that on our model.  Remember, as we change the model, we change the numbers in the written subtraction.  Looking at our model, how many tens do we have now?  So, we cross off the 8 tens and write 7 tens.  How many ones do you see now?  Let’s cross off the 4 ones and write 14 ones.

Concept Development  Look at the tens place. Are we ready to subtract in the tens place?  Are we ready to subtract in the hundreds place? Why or why not?  Now, we’re ready to subtract. Talk with your partner. Take turns sharing how you’ll show the subtraction on your model and using the algorithm.  Read the complete number sentence.  How can we prove our answer is correct?  It’s true that part + part = whole, but how can we prove that the part we found is correct?  Draw a model to solve Check your model and your vertical addition with your partner.  Who can explain why helps us check 584 – 147?  So if 584 – 147 = 437, then = 584. Is this true?