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Middle School Lessons & Activities for Teachers – Grade 6 SOL Middle School Math Practice Online practice tests from Jefferson Lab: http://education.jlab.org/solquiz/ Electronic practice assessment tools (e-pat) – VA released SOL tests online: http://www.pearsonaccess.com/cs/Satellite?c=Page&childpagename=Virginia/vaPALPLayout&cid=1175826755281&page name=vaPALPWrapper Virginia Department of Education Website – Standards of Learning released mathematics tests: http://www.doe.virginia.gov/VDOE/Assessment/releasedtests.html Virginia Department of Education Middle School Math Strategies http://www.doe.virginia.gov/VDOE/middle-math-strategies/ EVERYDAY MATHEMATICS TEXTBOOK GAMES WEBSITE FOR STUDENTS: www.emgames.com (Teachers will register students and provide online access information) MISCELLANEOUS MATH WEBSITES: Math Dictionary for Kids: http://www.teachers.ash.org.au/jeather/maths/dictionary.html A-Plus Math: http://aplusmath.com/ AAA Math – interactive arithmetic lessons: http://aaamath.com/ Figure This! – NCTM Math Website for Families: http://www.figurethis.org/ Math Is Fun – math puzzles and games: http://www.mathsisfun.com/ Quia – shared math activities: http://www.quia.com/shared/math/ Shodor – Interactive Math Activities: http://www.shodor.org/interactivate/activities/ Math 6 Resources: http://www.internet4classrooms.com/skills-6th-mathbuilders.htm Downloadable Math Power Point Presentations: http://jc-schools.net/PPTs-math.html GRADE 6 MATH ACTIVITIES SORTED BY SOL OBJECTIVE: SOL 6.1 The student will identify representations of a given percent and describe orally and in writing the equivalence relationships among fractions, decimals, and percents. SOL 6.2 The student will describe and compare two sets of data, using ratios, and will use appropriate notations, such as a/b, a to b, and a:b. Relative Ratios - media rich lesson SOL 6.3 The student will a) find common multiples and factors, including least common multiple and greatest common factor; b) identify and describe prime and composite numbers; and identify and describe the characteristics of even and odd integers. Prime Number Sieve: "Remove all proper multiples of the next remaining number." Start with the number 2.When all proper multiples of all numbers in the first row are deleted, the table will contain only primes: http://www.hbmeyer.de/eratosiv.htm SOL 6.4 The student will compare and order whole numbers, fractions, and decimals, using concrete materials, drawings or pictures, and mathematical symbols. Who Wants Pizza? Lesson about fractions: http://math.rice.edu/%7Elanius/fractions/ SOL 6.5 The student will identify, represent, order, and compare integers. Using Integers - use the internet to collect data: http://score.kings.k12.ca.us/lessons/extreme.html SOL 6.6 The student will a) solve problems that involve addition, subtraction, multiplication, and/or division with fractions and mixed numbers, with and without regrouping, that include like and unlike denominators of 12 or less, and express their answers in simplest form; and Visual Multiplication of fractions – an activity that uses circles: http://www.visualfractions.com/MultiplyCircle.html Multiplying Fractions using a grid method: http://www.visualfractions.com/MultEasy.html EZ Fractions – online practice with LCD helper and reduction helper (includes short practice problem generator): http://www.mrnussbaum.com/ezfractions.htm Visual Fractions – Renaming in Lowest Terms: http://visualfractions.com/RenameLowest.html Visual Fractions – Dividing Fractions – using circles: http://visualfractions.com/DivideCircle.html Visual Fractions – Dividing Fractions – using fraction bars: http://nlvm.usu.edu/en/nav/frames_asid_265_g_2_t_1.html b) find the quotient, given a dividend expressed as a decimal through thousandths and a divisor expressed as a decimal to thousandths with exactly one non-zero digit. SOL 6.7 The student will use estimation strategies to solve multistep practical problems involving whole numbers, decimals, and fractions (rational numbers). Webquest Expedition – solving practical problems: http://score.kings.k12.ca.us/lessons/exquisite.html Eating on a Budget - use estimation skills to complete this webquest: http://score.kings.k12.ca.us/lessons/eatbudgt.htm 6.8 The student will solve multistep consumer-application problems involving fractions and decimals and present data and conclusions in paragraphs, tables, or graphs. Planning a budget will be included. Moving on Up – activity to collect, order and describe data regarding salaries and locations: http://www.middleschool.net/lesspln/mathF/Math/mLBh98F/mLBh%20.htm 4 Month Budget Spreadsheet lesson: http://www.middleschool.net/lesspln/mathF/math99/mLPk/mLPk.htm Travel Money – lesson activity: http://its.guilford.k12.nc.us/webquests/travel/travel.htm How’s Your Cash Flow – activity: http://www.knowledge.state.va.us/cgi-bin/lesview.cgi?idl=848 SOL 6.9 The student will compare and convert units of measure for length, area, weight/mass, and volume within the U.S. Customary system and the metric system and estimate conversions between units in each system: a) length — part of an inch (1/2, 1/4, and 1/8), inches, feet, yards, miles, millimeters, centimeters, meters, and kilometers; b) weight/mass — ounces, pounds, tons, grams, and kilograms; c) liquid volume — cups, pints, quarts, gallons, milliliters, and liters; and d) area — square units. * Measurement Converter: http://www.image-ination.com/test_maker/convert.html The Ruler Game: http://www.globalclassroom.org/rulergame200/index.html Measurement Family Letter: http://www.glencoe.com/sec/math/msmath/mac04/course1/family_letters/pdfs/MAC1FamLetAct_G12.pdf * The intent of this standard is for students to make ballpark comparisons and not to memorize conversion factors between U.S. Customary and metric units. SOL 6.10 The student will estimate and then determine length, weight/mass, area, and liquid volume/capacity, using standard and nonstandard units of measure. SOL 6.11 The student will determine if a problem situation involving polygons of four or fewer sides represents the application of perimeter or area and apply the appropriate formula. SOL 6.12 The student will a) solve problems involving the circumference and/or area of a circle when given the diameter or radius; and b) derive approximations for pi (π) from measurements for circumference and diameter, using concrete materials or computer models. SOL 6.13 The student will a) estimate angle measures, using 45°, 90°, and 180° as referents, and use the appropriate tools to measure the given angles; and b) measure and draw right, acute, and obtuse angles and triangles. SOL 6.14 The student will identify, classify, and describe the characteristics of plane figures, describing their similarities, differences, and defining properties. NCTM Polygon Sort Activity: http://illuminations.nctm.org/LessonDetail.aspx?id=L277 SOL 6.15 The student will determine congruence of segments, angles, and polygons by direct comparison, given their attributes. Examples of noncongruent and congruent figures will be included. SOL 6.16 The student will construct the perpendicular bisector of a line segment and an angle bisector. SOL 6.17 The student will sketch, construct models of, and classify solid figures (rectangular prism, cone, cylinder, and pyramid). Classifying Solid Figures Lesson: http://mrsdell.org/geometry/solidfigures.html SOL 6.18 The student, given a problem situation, will collect, analyze, display, and interpret data in a variety of graphical methods, including Interactive Movies – lessons organizing and displaying data: http://www.saskschools.ca/curr_content/byersjmath/datamgmt/students/orgdis/intmovie.html Describing Distributions - video and activities: http://www.learner.org/courses/learningmath/data/session3/video.html Walking the Plank – lesson plan to collect data and graph: http://fcit.usf.edu/fcat8m/resource/activity/plankt.htm Human Coordinate Activity – lesson: http://fcit.usf.edu/fcat8m/resource/activity/planet.htm Design a stained glass window – activity using a coordinate grid: http://www.themathlab.com/Algebra/lines%20and%20distances/stained%20glass%20window.htm a) line, bar, and circle graphs; Create a Graph Online: http://nces.ed.gov/nceskids/createagraph/ b) stem-and-leaf plots; and Stem & Leaf Plot Activity – collecting and organizing data: http://www.learner.org/courses/learningmath/data/session3/part_a/index.html c) box-and-whisker plots. Directions for making a Boxplot using Excel: http://www.coventry.ac.uk/ec/~nhunt/boxplot.htm Circle graphs will be limited to halves, fourths, and eighths. SOL 6.19 The student will describe the mean, median, and mode as measures of central tendency, describe the range, and determine their meaning for a set of data. Activities using databases and spreadsheets to determine mean, median and mode: http://mathforum.org/paths/measurement/measup.html Basketball scores and finding mean, median and mode activity: http://euclid.barry.edu/%7Emarinas/mat476/bball/kup319fr.html Baseball Statistics - activity using mean, median and mode: http://www.sciencenetlinks.org/lessons.cfm?BenchmarkID=9&DocID=108 SOL 6.20 The student will a) make a sample space for selected experiments and represent it in the form of a list, chart, picture, or tree diagram; and Tree Diagrams Quiz: http://regentsprep.org/Regents/math/ALGEBRA/APR4/PracTre.htm b) determine and interpret the probability of an event occurring from a given sample space and represent the probability as a ratio, decimal or percent, as appropriate for the given situation. Introduction to Probability Lesson: http://www.mathgoodies.com/lessons/vol6/intro_probability.html SOL 6.21 The student will investigate, describe, and extend numerical and geometric patterns, including triangular numbers, patterns formed by powers of 10, and arithmetic sequences. Patterns in Mathematics: http://www.learner.org/teacherslab/math/patterns/index.html SOL 6.22 The student will investigate and describe concepts of positive exponents, perfect squares, square roots, and, for numbers greater than 10, scientific notation. Calculators will be used to develop exponential patterns. SOL 6.23 The student will a) model and solve algebraic equations, using concrete materials; b) solve one-step linear equations in one variable, involving whole number coefficients and positive rational solutions; and c) use the following algebraic terms appropriately: variable, coefficient, term, and equation.