Exam (elaborations) GIZMOS Student Exploration Fraction Garden

Exam (elaborations) GIZMOS Student Exploration Fraction Garden Vocabulary: denominator, equivalent, fraction, greater than, less than, numerator Prior Knowledge Questions (Do these BEFORE using the Gizmo.) [Note: The purpose of these questions is to activate prior knowledge and get students thinking. Students are not expected to know the answers to the Prior Knowledge Questions.] 1. You are setting up water stations for a one-mile road race. You need four evenly spaced stations, including one at the end. Mark the locations of the water stations below. 1 2 3 4 2. How far do the runners have to go to get to the second water station? Half a mile 3. How far is it from the starting line to the third water station? Three quarters of a mile Gizmo Warm-up 1. In the Draw chalk marks section, use the up arrow to set the value to 4. Click Go Chalky! A. Into how many sections does Chalky divide the garden? 4 B. Are the sections Chalky makes the same size? Yes 2. In the Distance to travel section, set the distance to 3 using the up and down arrows next to the fraction. 4 Then click Go Bud! to have Bud plant a flower at 3 . 4 A. With which of Chalky’s marks does the flower line up? The third one B. What is the relationship between the number of chalk marks and the denominator (bottom number) of the fraction? The number of chalk marks is equal to the denominator of the fraction. This study source was downloaded by from CourseH on :52:53 GMT -05:00 GIZMOS Student Exploration Fraction Garden , , Activity A: Comparing fractions Get the Gizmo ready: • Under Clear, click on Chalk and Gardens. Bud and Blossom love to plant flowers in their gardens and give each other challenges. 1. Blossom challenges Bud to plant as many flowers as he can with a denominator of 5. (Hint: Use the up and down arrows to change the fraction in the Distance to travel section.) Click Go Bud! to plant the flowers in the garden. A. Write all of Bud’s fractions in order. 1 , 2 , 3 , 4 , 5 5 5 5 5 5 B. How do the positions of the flowers change as the numerator (top number) gets larger? They are further to the right, or closer to 1. 2. Now Bud challenges Blossom to plant five flowers with a numerator of 1. A. Write all of Blossom’s fractions in order. [Any 5 of] B. How do the positions of the flowers change as the denominator gets larger? They are further to the left, or closer to zero. 3. Clear the gardens. Use Bud to plant flowers at 3 and 10 7 . Bud then challenges Blossom to 10 plant a flower in between his flowers. See if you can help Blossom meet this challenge. A. Name a fraction Blossom can use to do this. [The most likely answers] 4 5 6 10 10 10 B. Describe how you found the fraction. Both fractions have a denominator of 10 so I chose a fraction with a denominator of 10 and a numerator that is between 3 and 7. 4. Clear the gardens. Have Blossom plant flowers at 1 and 2 1 . Blossom then challenges Bud 5 to plant a flower in between her flowers. Can you help Bud? A. Name a fraction Bud can use to do this. [The most likely answers] 1 , 1 3 4 B. Describe how you found the fraction. Both fractions have a numerator of 1 so I chose a fraction with a numerator of 1 and a denominator that is between 2 and 5. This study source was downloaded by from CourseH on :52:53 GMT -05:00 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 7 6 5 4 3 2 1 2 , 3 , 4 , 5 , 6 4 6 8 10 12 Bud challenges Blossom to a new game. She has to plant flowers in the same place as his, using fractions that are equivalent (equal, but with different numerators and denominators). 1. First, have Bud plant a garden of thirds ( 1 , 2 , and 3 ) and have Blossom plant a garden of 3 3 3 sixths ( 1 , 6 2 , 3 , 6 6 4 , 5 , and 6 6 6 ). Which pairs of flowers are perfectly lined up? 6 1 and 2 , 2 and 4 , 3 and 6 . 3 6 3 6 3 6 2. Clear the gardens. Bud plants a flower at 1 and challenges Blossom to plant a flower that is 2 perfectly lined up with his, using an equivalent fraction. A. List all the fractions that Blossom could use to plant a flower that lines up with Bud’s. B. Could a fraction with a denominator of 3 line up with Bud’s flower at 1 ? Explain. 2 No. Only denominators that can be divided by 2 line up with one half. 3. Clear the gardens. Now Bud plants a flower at fractions that line up with his flower. 4 and challenges Blossom to find two 6 A. What two fractions should Blossom use? [any two of the following three] B. Out of all 3 fractions, which one do you think is “simplest” and why? 2 , because the numbers are the smallest 3 4. Now Blossom challenges Bud to find any two fractions that are equivalent. A. What are two fractions that Bud could use? Answers will vary. Sample: 1 , 2 4 8 B. Describe your method for finding these fractions. Sample: I chose one fourth and then multiplied the numerator and denominator both by 2. This study source was downloaded by from CourseH on :52:53 GMT -05:00 2 , 6 , 8 3 9 12 Bud and Blossom’s gardens are visited by a friendly bee and some not-so-friendly weeds. 1. Under Add mystery weeds click on Bud to add a weed to Bud’s Garden. A. Use Chalky to find a denominator that lines up with the weed. What is it? 2 [4, 6, 8, 10, and 12 are also possible.] B. Now use Bud to remove the weed. What fraction did you use? 1 [or any fraction equivalent to one-half] 2 C. Add 3 more weeds to Bud’s garden. Have Bud remove each of them. Mark the locations of the weeds and their fractions below. Use Chalky only if needed. [First two answers should be 1 and 3 . The third answer will vary.]