Round to the nearest hundred on the vertical number line

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Presentation transcript:

Round to the nearest hundred on the vertical number line Lesson 2.14

Application Problem Students model the following on the place value chart: 10 tens 10 hundreds 13 tens 13 hundreds 13 tens and 8 ones 13 hundreds 8 tens 7 ones

Application Problem Draw representations of the place value chart and symbols showing: 13 hundreds 8 tens 7 ones

Guided Instruction Concept Development Problem 1 Round 132 grams to the nearest hundred. How many hundreds are in 132 grams? Draw a vertical number line. Draw a tick mark near the bottom of the number line. To the right, label it 100 = 1 hundred. What is 1 more hundred? Draw a tick mark near the top of the number line. To the right, label 200 = 2 hundreds.

Guided Instruction Concept Development Problem 1 What number is halfway between 100 and 200? 150 In unit form, what number is halfway between 1 hundred and 2 hundreds? 1 hundred 5 tens Estimate to draw a tick mark halfway between 100 and 200. Label it 150 = 1 hundred 5 tens.

Guided Instruction Concept Development Problem 1 When you look at your vertical number line, is 132 more than halfway or less than halfway between 100 and 200? Turn and talk to a partner. 132 is less than halfway between 1 hundred and 2 hundreds. I know because 132 is less than 150, and 150 is halfway. I know because 5 tens is halfway, and 3 tens is less than 5 tens. 132 rounded to the nearest hundred is? Tell me in unit form. 1 hundred 3 tens 2 ones rounded to the nearest hundred is 1 hundred.

Guided Instruction Concept Development Problem 1 Round 250 grams to the nearest hundred Round 387 milliliters to the nearest hundred. Use the number line for 387 milliliters for Problem 2.

Guided Instruction Concept Development Problem 2 To round 387 milliliters to the nearest hundred, we drew a number line with endpoints 3 hundreds and 4 hundreds. Suppose we round 1,387 milliliters to the nearest hundred. How many hundreds are in 1,387? What is 1 more hundred?

Guided Instruction Concept Development Problem 2 Draw a vertical number line with endpoints labeled 13 hundreds and 14 hundreds next to the number line for 387. Then, work with your partner to estimate and label the halfway point, as well as the location of 1,387.

Guided Instruction Concept Development Problem 2 Is 1,387 more than halfway or less than halfway between 13 hundreds or 14 hundreds? Then what is 1,387 milliliters rounded to the nearest hundred?

Guided Instruction Concept Development Problem 2 Draw a vertical number line. Label… How many hundreds? What is 1 more hundred? Find the halfway for each. Label the location. 1,582 2,146 3,245

Math Log How is rounding to the nearest hundred different from rounding to the nearest ten?

Exit Ticket 1. Round to the nearest hundred. Use the number line to model your thinking.

Exit Ticket 2. There are 685 people at the basketball game. Draw a vertical number line to round the number of people to the nearest hundred people.