Mathematics Instructional Plan - Grade 8



Modified Mathematics Instructional Plan – Grade 8Ordering NumbersStrand:Number and Number SenseTopic:Comparing and ordering real numbersPrimary SOL:8.1The student will compare and order real numbers.Related SOL:8.3Materials Ordering Numbers Cards (attached)ScissorsVocabulary ascending, decimal, descending, fraction, greatest to least, least to greatest, percent, rational numbers, scientific notation (earlier grades) irrational numbers, real numbers (8.1)Instructions on InstructionIntroduce the terms ascending and descending order. Make connections to real-life experiences. For example, what happens when an elevator or an airplane ascends or descends?Hold a discussion about how to order numbers and the need to convert numbers to the same form before ordering them. Emphasize that when ordering, numbers should be compared by place value. Cut out “Ordering Numbers Cards,” mix the cards, and place them in a deck faced down.Instruct students they are to select 5 cards from the top of their deck and place them faced up. They are to work together to order the values in ascending/descending order. Have students check each other’s work before continuing. Once cards are ordered, place in a separate pile and repeat. Once all cards have been used, shuffle and begin again.Use radical approximations of irrational numbers to compare and order.To close, have students place the Ordering Numbers Card in ascending order. Check students’ results by checking all conversions and the ordering of the converted numbers. Have students make corrections, as needed.AssessmentQuestionsHow would you order the following numbers from smallest to largest?0.25252.5 × 10?32.5% 5Which of the following is larger: 4.5 × 101 or 45%? How do you know?Journal/writing prompts Explain how you would go about ordering five different numbers from largest to smallest. Describe the steps you would use to order the following numbers from smallest to largest:131.3%3 × 1000.13.Other Assessments Provide students with a set of four numbers, already ordered. Provide an additional number for the students to place among the given numbers. Have the student explain how they determined where to place the given number.Using a set of Ordering Number Cards, have the students play a game similar to War.Extensions and Connections (for all students)As students make conversions, relate the decimal form of numbers to amounts of money to help them understand how smaller and larger numbers are similar to lesser and greater quantities.Strategies for Differentiation Have students complete a preparatory activity on scientific notation and all conversions so students are ready to compare and order numbers.Provide grid paper to help with identifying place values.Have students arrange decimal numbers vertically in order to line up and compare their various place values. Be sure to have place values lined up appropriately.Modified Card Game:Have students start with comparing two numbers. Comparing two values as greater than, less than, or equal to. ( >, <, = )Gradually increase the number of cards to be ordered until student is comfortable with no more than five.Note: The following pages are intended for classroom use for students as a visual aid to learning.Ordering Numbers CardsCopy and cut out–6 × 10?314 1.3420%4.2 × 101532.52%3.3 × 100310–0.330.5%–1.2 × 103230.451.1%4 × 10?467–0.9233.5%10.9101125110π–1-40-64124313-124610-611000591070600016.300-2.9 ................
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