Lesson Plan 2010/11 Unit Title Binary Number System Lesson Focus (and number in sequence) 1 of 3 Class name/year Lesson date Period Name Mark Dennis Links to targets identified from previous Lesson Evaluation and/or Weekly Review Learning Objectives Learning Outcomes All Understand the basis and concepts behind the binary number system and be able to convert to and from binary and decimal numbers. Convert between simple binary and decimal numbers. Most Convert between more difficult binary and decimal numbers. Few Solve word problems based on the binary system. The ideas/concepts, skills and subject material you aim to teach What the students will have learned during the lesson Equality, diversity & inclusion strategies Health and safety and wellbeing Teacher and peer support, differentiated work and varying teaching methods. Normal classroom regulations apply Resources checklist IWB and accessories, worksheets, power point presentation, interactive excel spread sheet, paper, pen, calculators Groups or individuals with specific needs (initials only), differentiation, TA deployment 1 Lesson Plan 2010/11 Time Learning Management Differentiation Assessment for Learning What do we want the pupils to learn? For each task what are the main learning points (skills, Knowledge, understanding)? How will I organise the class and resources? What key instructions are needed? What will the class be doing? For the main tasks, how will I adapt the task to make sure that all pupils are challenged? How do I know if they have learnt? What strategies will I use to check this? 10 min Consolidate knowledge of manipulating fractions, decimals, and our digital clock along with illustrating utility of using different base number systems. Starter: Nrich problem on ‘Decimal Time’: http://nrich.maths.org/4818. Problem is introduced with a power point slide displayed on overhead. There is also a slide with some hint questions if they are required. The problem is relatively open ended and there are some designated questions which can guide individual students or can be used for the whole class as required. High Ability: Refrain from giving hints Middle Ability: Give hints as required Lower Ability: Use hints to guide and assist with problem solving. Teacher observation of classroom work and student input to discussion. 15 min Understand the basis and concepts behind the binary number system and be able to convert between binary and decimal numbers. Link starter to the utility of using different bases and put in historical context: o Base 60 used by Babylonians. Illustrate number of small divisors for 60 which could perhaps be a reason for using it. Survived for time, even though decimal time was tried during French Revolution, and is still used for This short section is teacher exposition with student participation. Differentiation and inclusion occurs by: Placing the topic in context and showing utility in everyday practice. Using visual display of excel spread sheet to show the difference between different base numbers. And use of examples of increasing difficulty to Teacher questioning whilst illustrating conversion process. 2 Lesson Plan 2010/11 angles. Binary numbers (2 slides) relatively recent but came about for its use in logic theory (19th century) and coding (20th century). Came to prominence with the electronic age. Easier to use since it only uses 0 or 1 but perhaps not as efficient. Demonstrate a base 10 number comparison against other base numbers using spread sheet ‘place value different bases.xls’ Illustrate how to convert decimals to and from binary (also use algorithm of using highest power of 2, subtracting this from the original number, then repeating in illustration). Possible examples: o 1011, 110011, 100101 o 5, 12, 23, 77 o 20 min Consolidate knowledge and rehearse converting between decimal and primary numbers. Students complete worksheet on converting numbers to and from decimal to binary. 3 illustrate process of converting to and from binary and decimal. High Ability: There are challenging extension questions. Middle Ability: There is both Self-assessment. Lesson Plan 2010/11 accessible work and extension work of varying difficulty. Lower Ability: There are enough lower ability problems for the students to work in the time allotted. 10 min Consolidate understanding of the binary number system and place value by learning how to count on fingers, showing the 1 and zero’s Plenary: Use fingers to count in a binary system (up to 1023 possible) Let students count on fingers in front (volunteers) of classroom and at desks. Show online the hand counter to start the activity: http://www.intuitor.com/counting/ Fun activity should cater to all abilities. Inclusion occurs with peer support. See how well they can count, how easy they find it to think in binary. Lesson evaluation - to be completed after teaching this lesson. Reflect on what you did that either enabled or hampered learning. Pupil progress Did you achieve your SMART targets? Did the pupils meet the learning outcomes? How do you know? Action to take next lesson with the class a) to improve my teaching and b) to improve the classes learning. 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