![]() ![]() Step 3: Using technology, have each group create a bar graph and a line graph that shows this specific example: “A school’s student population changes over 50 years. Ask: “Which graph better displays the information gathered?” Have each group share with the class their survey results along with the graphs they created. Step 2: Next, ask groups to organize their survey data, and create both a bar graph and a line graph. Have each group choose a topic to survey (for example: favorite food or sports team), and ask them to collect their data over the course of one school day. Step 1: Assign students to groups of 3 or 4. In the following exercise, students are to determine whether creating a bar graph or a line graph will better show the given data. The instruction model presented here is an example of using a hands-on approach, which may help students to choose an appropriate graph. Many recent studies suggest that hands-on experiences which allow for the use of technology may facilitate students’ data organization and graphing skills. (2000), About Teaching Mathematics: A K-8 Resource, 223–237, Math Solutions Publications, Sausalito, CA. Students who understand how to use a number line to compare fractions with different denominators will understand the steps needed to compare and order fractions without the use of concrete materials or pictures, as well as the steps needed to add and subtract fractions with different denominators.īurns, M. 4⁄ 6 is greater than 3⁄ 6 because 4 is greater than 3. So, to compare 2⁄ 3 and 3⁄ 6 , you can compare 4⁄ 6 and 3⁄ 6 . The number line also shows that 2⁄ 3 is equivalent to 4⁄ 6 . Think: 2⁄ 3 is greater than 3⁄ 6 because 2⁄ 3 is to the right of 3⁄ 6 on the number line. Only then can they compare the numerators. They must first rename the fractions as equivalent fractions with the same denominators. Students can next use a number line that shows equivalent fractions to find that, when fractions have different denominators, they cannot simply compare the numerators. Think: 7⁄ 8 is greater than 3⁄ 8 because 7⁄ 8 is to the right of 3⁄ 8 on the number line.ħ⁄ 8 is also greater than 3⁄ 8 because 7 is greater than 3. Students can also see that, when the denominators of fractions are the same, they can simply compare the numerators. On a number line, the number to the right is the greater number. Students can first use a number line to compare fractions with the same denominators, just as they use a number line to compare whole numbers. The purpose of this instructional model is to facilitate students’ understanding of comparing fractions that have same or different denominators. Furthermore, a fraction number line helps students see relationships among fractions, including equivalency. It helps students to see fractions as numbers and to understand their relationship to 1. You can send the address of this page to your students, tutors, friends, etc.A fraction number line shows a unit fraction and its multiples. They MUST download the worksheets themselves. You Do NOT have permission to send these worksheets to anyone in any way (via email, text messages, or other ways). You have permission to distribute the printed copies to your students, teachers, tutors, and friends. You can download the worksheets and print as many as you need. Worksheets may not be uploaded to the internet in any form, including classroom/personal websites or network drives. IMPORTANT: COPYRIGHT TERMS: These worksheets are for personal use. The 4th-grade M-STEP math worksheets are free and printable, and you can download questions related to your favorite topic with one click. This will greatly reduce the stress of 4th graders and make them much more productive in the 4th-grade M-STEP math test session. Using the 4th-grade M-STEP math worksheet, 4th-grade M-STEP math test content is stored in the minds of 4th-grade students in a very precise and comprehensive way during practice so that it can be easily retrieved whenever they need it. The Michigan Student Test of Educational Progress (M-STEP) is a standardized test that measures the progress of students in grades 3-8 in the state of Michigan. + Ratio, Proportion and Percentages Puzzles.
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