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Generate fountain between any two quantities
Generating Fractions in between Two numbers (Fraction Density)
This is a collection of progressive prompts that will certainly elicit the usage of variousstrategies provided to find fractions between two numbers. The prompts, whenused in sequence, support students in selecting a strategy based upon thefractions gift considered. Encourage students come buildmodels/representations and create contexts to help in visualization. Thisseries the prompts can be used for a selection of grades and also purposes. Thetime compelled will vary relying on the great level and student readiness.
|MathematicsDensity of fractions refers to the vital mathematical idea the between any type of two fractions there are infinite variety of fractions. Expertise this mathematical truth is a critical stage in the advancement of fraction sense. This is a novel principle for students, since it is no encountered in the entirety number system (there space not any kind of whole numbers between any two entirety numbers). Students are encouraged to develop a variety of various strategies and also to use them strategically, based upon the situation. Research shows that it is beneficial to spread portion learning transparent the year and also embed that in various other strands. Density is also a vital concept in measurement.|
|Curriculum ConnectionsStudents will:Represent, compare and also order fractional amounts using a variety of tools.|
|Instructional sequence companion students and introduce the task. Post the selected prompt (select from options to the right) on the black/whiteboard or interactive whiteboard, or distribution on a handout. have actually students describe their thinking. Highlight various strategies by intentionally picking students that fixed the task in various ways. Have students recognize the similarities and differences between the strategies.|| Prompt 1 recognize three fractions between 2 and also 3. Prompt 2Identify a fraction between 1 |
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. Prompt 7Select two fractions and identify a fraction between them. Prove that your answer is correct.