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The lesson will develop knowledge for other bases besides base 10. The lesson will investigate base 2, base 8, and base 16. The student will write numbers using expanded notation.
This lesson results from the ALEX Resource Gap Project.
Primary Learning Objective(s):
The student will be able to convert numbers from base 10 to base 2, base 8, and base 16.
Additional Learning Objective(s):
The student will be able to write numbers of different bases in expanded notation.
61 to 90 Minutes
Materials and Resources:
Videos to explore for base 2, base 8, and base 16:
https://www.youtube.com/watch?v=wn5ZqcbIid0 (base 2)
https://www.youtube.com/watch?v=fYGUHTmn7lo (base 8)
https://www.youtube.com/watch?v=4um7-QbpAQ8 (base 16)
Worksheets to be copied for all students:
http://www.math-aids.com/cgi/pdf_viewer_7.cgi?script_name=numSys_bin.pl&bin_range=2&language=0&memo=&answer=1&x=119&y=15 (base 2)
http://www.math-aids.com/cgi/pdf_viewer_7.cgi?script_name=numSys_octal.pl&oct_range=3&language=0&memo=&answer=1&x=64&y=19 (base 8)
http://www.math-aids.com/cgi/pdf_viewer_7.cgi?script_name=numSys_hex.pl&hex_range=0&language=0&memo=&answer=1&x=125&y=19 (base 16)
Accelerated students: Copy as needed
Bell Ringer Exponents in the attachments
Exit slip conversions in the attachments (copy for all students)
Technology Resources Needed:
Desktop Computer with access to interactive whiteboard
Videos to explore for base 2, base 8 and base 16
Worksheet to be copied for all students:
The teacher needs to preview the videos. The teacher needs to have knowledge of binary, octal, and hexadecimal languages.
The student needs prerequisite knowledge of place value and how exponents are used with bases. The student needs to recall expanded notation from previous years.
As students enter the room, the teacher will have the bell ringer, Bell Ringer Exponents, on the interactive whiteboard. The students will answer the questions in their notebook. The teacher will allow the students to talk to a partner for a minute. The teacher will call on students to answer questions on the interactive whiteboard. The teacher will show answers by changing the color.
The teacher will assign the exit slip, Exit slip conversions, that is in the attachment section. This will be the formal assessment.
Informal assessments will be made as students are working on the worksheets in groups.
The teacher will grade the exit slip for accuracy.
The students will be assigned a worksheet to change from bases other than base 10.
The intervention will be to place students in groups of 4 and one must be a peer-tutor. The teacher will monitor the students during the group activity. The teacher will do one-on-one instruction.