Module 2 Lesson 8 - Solve addition and subtraction word problems using the ruler as a number line.

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Presentation transcript:

Module 2 Lesson 8 - Solve addition and subtraction word problems using the ruler as a number line

Fluency Practice How Many More to Make a Meter? For every number of centimeters I say, you say the number needed to make a meter. So if I say 70 centimeters, you say 30 centimeters. Ready? 70 centimeters. Number sentence 70cm + 30cm = 1m 30 centimeters!

Lets try a few more. Ready? 40 centimeters. Number sentence 70cm + 30cm = 1m 60 centimeters!

Ready? 20 centimeters. Number sentence 20 cm + 80 cm = 1m 80 centimeters!

Ready? 90 centimeters. Number sentence 90 cm + 10 cm = 1m 10 centimeters!

Ready? 10 centimeters. Number sentence 10 cm + 90 cm = 1m 90 centimeters!

Ready? 9 centimeters. Number sentence 9 cm + 91 cm = 1m 91 centimeters!

Ready? 11 centimeters. Number sentence 11 cm + 89 cm = 1m 89 centimeters!

Ready? 50 centimeters. Number sentence 50 cm + 50 cm = 1m 50 centimeters!

Ready? 49 centimeters. Number sentence 49 cm + 51 cm = 1m 51 centimeters!

Ready? 51 centimeters. Number sentence 51 cm + 49 cm = 1m 49 centimeters!

Application Problem Bill the frog jumped 7 centimeters less than Robin the frog. Bill jumped 55 centimeters. How far did Robin jump? BR 55+7= = = 62 Robin jumped 62 centimeters B55 R55 ? 7

Concept Development How can we figure out how long the ribbon should be? I am throwing a party and want to decorate my house. I will start with my front door and put some ribbon around its edges. 2 M 1 M I can measure around the door! I used a meter stick to find the measurements. How long does the ribbon need to be to go all the way around my door?

Concept Development I also want to string lights up one side of the steps leading to my front door. Help me figure out the length of the string of lights if they line the edges of the steps. There are two steps. How many centimeters of lights do I need to line the entire length of both steps? Put your finger on 0 on your meter strip. Slide your finger up to 18 centimeters.

To add 22 centimeters, we can think of this meter strip like a number line. To make a ten, what part of 22 should we add to 18 first? centimeters! Slide your finger up 2 more. Where are we on the number line? 20 centimeters! How many more centimeters do we need to slide our finger on the number line? 20 centimeters! Where will our finger stop? 40 centimeters!

Concept Development Where will we be on the meter strip when we add the second stair? How do you know? 80 centimeters! You just have to double 40! I have a string of lights that is 1 meter long. Is it long enough to reach the top of the steps? Yes!

I also want to hang a party sign with this piece of string. I want to know the length of the string, but I tore my meter strip, and now it starts at 4 centimeters. Can I still use it to measure? How? Concept Development Lets try lining up the string with the torn meter strip. Where does the string end? Now, let’s take away 4 centimeters So what is the length of my string???

I also ordered a cake, which is the same size as this piece of paper. I am going to use your desk as the table. Can you figure out the length of the cake. Then the desk to see how much extra space there will be? With your partner, measure the length of the cake and then the desk, and then find the difference. Record your answers on your white boards.

What strategy did you and your partner use to measure the lengths with the meter strip? What is the difference between the length of the table and the length of the cake? Im going o put the cake at the bottom of the table. Lets repeat the process to see how much space we will have above it. Measure the width of the cake and table and find the difference.

Problem Set

Concept Development

Studen Debrief Explain to your partner how you solved Problem 1. What similarities or differences were there in your solution methods? What strategies did you use to solve Problem 2? How can you solve a problem with a ruler that does not start at zero? How is a ruler similar to a number line? Look at Problem 4. What math strategies did you need to know in order to solve this problem?