Lesson 9. Problem Solving Compare Fractions Nick walked mile to the gym. Then he walked mile to the store. Which distance is shorter? Read the Problem What do I need to find? I need to find which distance is shorter. What information do I need to use? _ Nick walked mile to the _ gym. Then he walked mile to the store. How will I use the information? I will use fraction strips and compare the lengths of the models to find which distance is shorter. Solve the Problem Compare the lengths., The length of the _ model is less than the length of the _ model. So, the distance to the gym is shorter.. Mariana and Shawn each had pages to read. Mariana read of her pages. Shawn read of his pages. Who read more pages? Explain.. Carlos ran of the race course. Lori ran of the same race course. Who ran farther? Explain. Grade R7
Lesson 9. Compare Fractions with the Same Denominator Pete s Prize Pizzas makes a special pizza. Of the toppings, _ is peppers and _ is ham. Does the pizza have more peppers or ham? Compare _ and _. Step The denominators of both fractions are the same,. Use fraction circles divided into fourths to model the fractions. Step Shade part of the first circle to show _. Shade parts of the second circle to show _. Step Compare. parts is more than part.. So, the pizza has more ham. Compare. Write,,., or 5..... 5 5.. Grade R7
Lesson 9. Compare Fractions with the Same Numerator Ryan takes a survey of his class. _ of the class has dogs, and _ of the class has cats. Are there more dog owners or cat owners in Ryan s class? Compare the fractions. Step Divide the first circle into equal parts. Shade _ of the circle to show dog owners. Step Divide the second circle into equal parts. Shade _ of the circle to show cat owners. Dog Owners Cat Owners Step Compare the shaded parts of the circles. Which shaded part is larger?, _ is larger than _. So, there are more cat owners than dog owners in Ryan s class. Compare. Write,,., or 5..... 5.. 7. 5 5. 9. 0... Grade R7
Lesson 9. Compare Fractions Mrs. Brown s recipe uses _ cup of flour. Mrs. Young s recipe uses _ cup of flour. Which recipe uses more flour? Compare _ and _. You can compare fractions using fraction strips. Step Model each fraction. Step Compare the lengths of the models. The length of the _ model is greater than the length of the _ model.. So, Mrs. Young s recipe uses more flour. Compare _ and _. Which is greater? The denominators are the same, so compare the numerators.,, so _, _.. So, _ is greater than _. Compare. Write,,., or 5. Write the strategy you used... 7 5.. 5 Grade R7
Lesson 9.5 Compare and Order Fractions You can use a number line to compare and order fractions. Order _ 5, _, and _ 7 from least to greatest. Since you are comparing eighths, use a number line divided into eighths. Step Draw a point on the number line to show _ 5. Step Repeat for _ and 7 _. 0 5 7 0 Step Fractions increase in size as you move right on the number line. Write the fractions in order from left to right. So, the order from least to greatest is _, 5 _, 7 _. Write the fractions in order from least to greatest..,,.,, 0 5 0 Think: When the numerators are the same, look at the denominators to compare the size of the pieces..,,., 0, Grade R75
Lesson 9. Model Equivalent Fractions Equivalent fractions are two or more fractions that name the same amount. You can use fraction circles to model equivalent fractions. Find a fraction that is equivalent to _. _ 5 Step Look at the first circle. It is divided into equal parts. Shade one part to show _. Step Draw a line to divide the circle into equal parts because is the denominator in the second fraction. Step Count the number of parts shaded now. There are parts out of parts shaded. _ 5 _ So, _ is equivalent to _. Shade the model. Then divide the pieces to find the equivalent fraction... 5 5.. 5 5 Grade R7
Lesson 9.7 Equivalent Fractions Kaitlyn used _ of a sheet of wrapping paper. Find a fraction that is equivalent to _. _ 5 Step The top fraction strip is divided into equal parts. Shade _ of the strip to show how much paper Kaitlyn used. Step The bottom strip is divided into equal parts. Shade parts of the strip until the same amount is shaded as in the top strip. parts of the bottom strip are shaded. _ 5 _ So, _ is equivalent to _. Each shape is whole. Shade the model to find the equivalent fraction.... 5 5 Grade 5 R77