Transcript File
Lesson 12-11 Problem Solving: Draw a Picture and Write an Equation Daily Common Core Review 5 x 5 = 25 hours 925/25=185 customers When the numerators are the same, the fraction with the larger denominator is smaller. Daily Common Core Review 33+12+7= about $50 2 Changing the way factors are grouped does not change the product. There should be the same three factors on each side of the equation. This equation illustrates the associative property of multiplication. Set the Purpose • • In previous lessons you have solved equations. Today you will draw a picture to help you decide what operation is needed to write and solve an equation. What operation is needed to solve a problem with fractions? Connect About how far do you ride your bike when you go biking? A few blocks 2 miles Pose the Problem Michelle rode her bike mile on Thursday, mile on Friday, and mile on Saturday. How far did she ride her bike in all? Draw a bar diagram, choose an operation, and write an equation to solve the problem. Share your work. Whole Class Discussion What information are you given? How many miles Michelle rode on Thursday, Friday, and Saturday. Draw this part of your bar diagram: Whole Class Discussion What do you need to find? The total distance that Michelle rode her bike. Draw a box of equal length above your bar diagram and label it "x miles in all". Whole Class Discussion Based on the bar diagram what equation can you write? Whole Class Discussion Why should you use addition to solve this problem? Because the problem asks for the total. Also, the 3 sections of the bar diagram need to equal the total amount, or "x". Whole Class Discussion So what is the sum? How many miles did Michelle ride her bike in all? 2 miles Small Group Interaction With your partner, solve the following problem: How much farther did Michelle ride her bike on Friday than on Saturday? Draw a picture and write an equation to solve. Remember, she rode 3/4 of a mile Friday and 2/4 of a mile on Saturday. Small Group Interaction What information are you given? How many miles Michelle rode on Friday, Saturday, and Sunday. What do you need to find? How many more miles she rode on Friday than Saturday. Small Group Interaction Draw your bar diagram The distance she rode Friday goes in the "total" box at the top because this number will be the greatest. The smaller distances will add up to the total distance she rode Friday. Small Group Interaction Based on this bar diagram, what operation did you use to write your equation? What is the equation? subtraction Small Group Interaction So, how much farther did she ride on Friday than Saturday? 1/4 mile farther Visual Learning Bridge Another Example Subtract 1 from 1, or 12. 12 12 Guided Practice Guided Practice Yes, the model would look like this: Example: Sam had 1/3 cup of milk and 1/3 cup of juice. What is the total amount of beverage Sam has? Independent Practice Pg. 317-318, #4-13 Target Problems: #4,5,7,10,12,13 Independent Practice Feet long mm longer Independent Practice Independent Practice Both are correct. Daryll has 12 books and 9 are about space. 9/12 is equivalent to 3/4. Yes. The opposite sides of a parallelogram are congruent, or equal. So, if one side is 8 inches, the opposite side is 8 inches. There are 40 inches left, so each of the longer sides is 20 inches. Independent Practice Algebra Connections 3 4 dash/8=teaspoon 2 126 24 315 7 h x 63 = g q/8=p bx4=p Algebra Connections 14 x 160 = 2240 pounds 8 x 660 = 5280 feet 6.84/3= about 2 leagues 2 x 2 x 2 x 4 x 4= 128 pecks Close of the Lesson Turn to your partner and talk about what you learned during this lesson. During this lesson you learned how to draw pictures and write equations to solve problems. Way to go!