Interview of seventh grade learner's understanding of fractions
Supporting Notes on development of fractions ...
- Development of fractional number values, instructional ideas, sample activities, worksheets, and assessment. Focus is on the development of fractions as equal parts of a whole, sub groups, & equivalent fractions and decimal fractions. Work sheets include: fraction circles, circle disks, paper folding, area models, measurement models, number lines, hundred charts, challenges, & problem suggestions.
- Fractions, decimals, percent, ratio & proportion - development of fractions, decimals, percent, ratio, proportion, their operations, and connections
- Whole numbers, fractions, rational & irrational numbers, infinity, & number lines- instructional notes
- Fractional value & equivalency - scoring guide suggestions & rubric
Focus questions:
- What would you be confident that he understands and doesn't?
- What activities would you recommend for his continual learning?
Fractional number videos (Marilyn Burns)
Video 1 ... (2:51)
- Introduction of interview.
- Pizza problem (two pizzas for self and two friends)
Video 2 ... (4:34)
- Eight people share a plate with 12 brownies.
- Then find three more brownies, how much for each?
Video 3 ... (2:o1)
- Locate fractional distances on number line.
Video 4 ... (0:30)
- Explanation of questioning value.
Video 5 ... (1:38)
- Make a 3 x 4 rectangle
- Make so 3/4 of it is blue.
- Is 3/4 = 9/12?
- How explain?
Video 6 ... (2:06)
- Build rectangle with 2/3 rds blue.
- Use information from rectangles to locate 2/3rds on number line in video 3.
- Explain ... convinces ...
Video 7 ... (3:42)
- Write 1/2 & 2/5 ths ...
- Compare ... which his larger?
- Uses percents ... struggle with 50% or 60% for middle.
- What's 1/2 of 5?
Video 8 ... (0:59)
- Summary of strategies used to interview ...