VIEWS: 34 PAGES: 12 POSTED ON: 3/27/2010
7th grade Math RESOURCES NUMBER AND OPERATIONS 7TH GRADE RESOURCES N.MR.07.02 1. This website offers resources for teachers on what is a derived quantity and what types of derived quantities exist. http://physics.nist.gov/cuu/units/units.html 2. A website that provides detailed information on how to find weighted averages. http://www.mathforum.org/library/drmath/view/52803.html N.FL.07.03 1. This web site provides information about rates of change including negative change and zero change. Examples are given with calculations. http://www.glencoe.com/sec/math/msmath/mac04/course3/extra_examples/chapter4/extras_04_2.rtf 2. This Illuminations lesson plan involves collecting and recording data when tennis balls are bounced for a given time period. The activity lends itself well to calculating the rates of change for the tennis balls. There are also additional suggestions on how to incorporate other related rates of change. http://illuminations.nctm.org/LessonDetail.aspx?id=L246 N.MR.07.04 1. This web site has several suggestions for lessons involving measurement developed by members of the National Council of Teachers of Mathematics. http://illuminations.nctm.org/LessonsList.aspx?grade=3&standard=4 2. This link is from the Saginaw Valley State University web site. It contains several links to web sites with interactive lessons involving ratios. http://www.svsu.edu/mathsci-center/mnr.htm 3. An online resource for converting between traditional and metric measurements. http://www.onlineconversion.com/ 4. Key Curriculum Press publishes a book titled, Crossing the River With Dogs. It is a book dedicated to problem solving which introduces a new problem solving strategy in every chapter. There is a chapter devoted to converting ratio quantities with many examples and strategies to teach this concept. http://www.keypress.com/catalog/products/textbooks/Prod_ProbSolv.html N.FL.07.05 1. This web site has several suggestions for lessons involving measurement developed by members of the National Council of Teachers of Mathematics. http://illuminations.nctm.org/LessonsList.aspx?grade=3&standard=4 N.MR.07.06 1. This web site contains riddles that can be used in the classroom to help teach the concept of square roots. Students could be encouraged to write their own riddles. http://www.rhlschool.com/math5n10.htm N.FL.07.07 1. This site has students practice operations with integers, and keeps track of the percent students get correct. http://www.coolmath-games.com/numbermonster/mult25.htm 2. This web site contains a downloadable graphing calculator program that focus on mastery with operations with integers. The students can chose how many problems to attempt, the level of difficulty, and the program displays a bar graph at the end that shows how many problems of each type the student answered correctly. The problems are also randomly generated so this eliminates cheating. http://www.dsmeltz.eboard.com To learn how to download calculator programs for the graphing calculator, visit the following website: http://www.education.ti.com. N.FL.07.08 1. Online virtual manipulatives - number lines and integer activities for grades 6 – 8 http://nlvm.usu.edu/en/nav/category_g_3_t_1.html 2. NCTM Principals and Standards for School Mathematics - Chapter 6. N.FL.07.09 1. This website contains practice problems with tutoring assistance related to estimating the answers to problems involving rational numbers. http://education.yahoo.com/homework_help/math_help/problem_list?id=miniprealggt_5_1 ALGEBRA 7th GRADE RESOURCES A.PA.07.01 1. NCTM Navigations Series Navigating Through Algebra - a book of problems and teacher materials Friel, S., Rachlin, S., and Dot Doyle. Navigating through algebra in grades 6-8. NCTM, 2001. http://my.nctm.org/ebusiness/productcatalog/product.aspx?ID=754 2. Up, Up, and Away A Printable version of this lesson is available in PDF format. See attached documents. http://www.pbs.org/teachersource/mathline/lessonplans/pdf/atmp/UpUpAway.pdf 3. Graphing Rates and Linear Relationships A printable version of this lesson is available in PDF format. See attached documents. Please scroll down to Graphing Rates and Linear Relationships. http://www.indianastandardsresources.org/completeResource.asp?Subject=math&Grade=8 4. Grapher Students can focus on properties and characteristics of linear and proportional relationships. This graphing tool is very helpful in analyzing relationships among expressions. http://nlvm.usu.edu/en/nav/category_g_3_t_2.html 5. Exploring Cartesian Space: Time and distance Students measure the time it takes classmates to run, walk, or jog specified numbers of laps around a track. They record results in a table, convert measurements taken in minutes and seconds to fractional parts of a minute, and then compare speeds. http://filer.weblogger.com/earlyalgebraManilaWebsite/classes/Lesson12.pdf A.RP.07.02 1. NCTM Navigations Series Navigating Through Algebra - a book of problems and teacher materials Friel, S., Rachlin, S., and Dot Doyle. Navigating through algebra in grades 6-8. NCTM, 2001. http://my.nctm.org/ebusiness/productcatalog/product.aspx?ID=754 A.PA.07.03 1. NCTM's site with several lessons connecting Algebra topics to other standards. http://illuminations.nctm.org/LessonsList.aspx?grade=3&standard=2 2. A Study Slope Students will learn the definition of slope, find slope from a graph, draw a line given the slope and one point on the line, and recognize that a straight line has a constant slope. http://www.indianastandardsresources.org/completeResource.asp?Subject=math&Grade=7 3. You Make the Call The opportunity to examine and understand liner functions is a key component to success in the formal study of algebra. Moreover, students need to be able to describe relationships with a variety of representations and connect these representations precisely as demonstrated by this lesson. These experiences foster the development of algebraic thinking in a curriculum. http://www.pbs.org/teachersource/mathline/lessonplans/atmp/call/call_procedure.shtm 4. Fun and Sun Rent-A-Car The Green family is planning a one-week vacation in Florida and needs to rent a car while there. They do not know exactly how far they will drive but estimate it will be between 500 and 1000 miles. They must decide which of four rental plans to choose. Students construct graphs to see which plan is better for different car prices. http://math.rice.edu/~lanius/Algebra/rentacar.html 5. Exploring Linear Functions: Representational Relationships Technology allows the linking of multiple representations of mathematical situations and the exploration of the relationships that emerge. http://standards.nctm.org/document/eexamples/chap7/7.5/index.htm#applet A.PA.07.04 1. The NCTM's site with several lessons connecting Algebra topics to other standards. http://illuminations.nctm.org/LessonsList.aspx?grade=3&standard=2 2. Stressed to the Breaking Point Students will explore the relationship between the amount of weight that can be supported by a spaghetti thickness of the bridge, and the length of the bridge to determine the algebraic equation that best represents pattern modeled. http://www.pbs.org/teachersource/mathline/lessonplans/hsmp/stressedtobreaking/stressedtobreaking_ 3. Bottles and Divers Students calculate the rate of change between two points on a curve by determining the slope of the joining those two points. http://www.pbs.org/teachersource/mathline/lessonplans/hsmp/bottlesdivers/bottlesdivers_procedure.shtm 4. Fill Er‟ Up Two containers with different shapes are shown to the class. Each time a measure of water is poured into the container, the number of this measure (x) and the resulting height of the water (y) are plotted on a graph as an ordered pair. Students demonstrate the procedure of filling the measure with water, pouring the water into the container, and measuring the height. Students plot the points and make predictions. Following the same procedure, three more bottles with different shapes are displayed with three completed graphs. Students work in groups to match these containers with their related graph. Each group must be able to supply a rationale for their decision. Keeping the same variables, students are asked to intuitively sketch the graphs of some additional irregular containers. http://www.pbs.org/teachersource/mathline/lessonplans/msmp/fillerup/fillerup_procedure.shtm 5. Aw Chute! After designing and constructing parachutes, students use the distance formula to determine the rate of descent and with this information look for similarities in design. http://www.pbs.org/teachersource/mathline/lessonplans/msmp/awchute/awchute_proce dure.shtm A.PA.07.05 1. The NCTM's site with several lessons connecting Algebra topics to other standards. http://illuminations.nctm.org/LessonsList.aspx?grade=3&standard=2 2. Clarifying Activities Pages 3 and 30 Students use algebraic, graphical, and geometric reasoning to recognize patterns and structure, to model information, and to solve problems from various disciplines. The activities on Page 3 and 30 are aligned with the concept of proportionality. These are Texas‟ clarifying activities. http://www.utdanacenter.org/mathtoolkit/instruction/activities/models.php#b1 3. Numb3rs (TV show applications) This exceptional set of materials helps teachers to relate something very interesting (A CBS TV hit show) to the math classroom. http://www.cbs.com/primetime/numb3rs/ti/activities.shtml 4. Direct Proportions The purpose of these lessons is to develop, analyze, explain and use methods for solving proportions while solving problems in a variety of situations. http://www.nde.state.ne.us/NMSI/mathvantage/proportional/lesson.html 5. Earth, Moon, and Mars Balloons The object of this activity is to construct a scale model of the Earth-Moon-Mars system in terms of planetary size, and to discover how far one might have to travel to get to the Moon or Mars. http://www.nasaexplores.com/show_58_teacher_sh.php?id=021220130547 A.PA.07.06 1. Points and Slope (Please scroll down to the appropriate title) Students will find the slope of a linear function given the equation and write the equation of a line given the slope and any point on the line. http://www.indianastandardsresources.org/completeResource.asp?Subject=math&Grade=8 2. Positive and Negative slope (Please scroll down to the appropriate title) Students will learn to identify and graph linear functions and identify lines with positive and negative slope. http://www.indianastandardsresources.org/completeResource.asp?Subject=math&Grade=8 3. Least Squares Regression This unit plan consists of lessons in which student interpret the slope and y-intercept of least squares regression lines in the context of real-life data. http://illuminations.nctm.org/LessonDetail.aspx?ID=U117 4. Fly Between the Lines The object of this activity is to graph parameters for a Shuttle approach and landing, and then see if certain coordinates fall within those parameters. http://www.nasaexplores.com/show_58_teacher_sh.php?id=040916111625 A.PA.07.07 1. Traveling Distances Students interpret the meaning of the slope and y-intercept of the graph of real-life data. By examining the graphical representations of the data, students relate the slope and y- intercept of the least squares regression line to the real-life data. http://illuminations.nctm.org/LessonDetail.aspx?ID=L387 2. Slope Intercept of a Line Students will use the slope-intercept form of an equation to write equations for lines. http://www.indianastandardsresources.org/lesson.asp?ID=174 A.FO.07.08 1. What‟s My line? Students will identify and determine equations of a line from graphs of lines. http://www.knowledge.state.va.us/cgi-bin/lesview.cgi?idl=335 2. What is Your Solution? Scroll down to “What‟s Your Solution”. Students will write and solve linear equations and inequalities in one variable, interpret the solution or solutions in their context, and verify the reasonableness of the results. http://www.indianastandardsresources.org/completeResource.asp?Subject=math&Grade=8 A.PA.07.09 No Resources Found A.RP.07.10 1. This is an on-line resource for direct and inverse relationships: http://en.wikipedia.org/wiki/Proportionality_(mathematics)#Inverse_proportionality 2. A website with procedural steps for graphing inverse proportion. http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_conics_inverse.xml 3. Inverse Proportions The objective of this lesson is to set up and solve inverse proportion problems. http://www.indiana.edu/~atmat/units/ratio/ratio_t7.htm 4. Getting Out of Line Students explore basic connections between graphs, tables, and symbolic representations for lines, parabolas, inverse models, and exponential models. One of the primary goals of this lesson is to help students begin to recognize patterns that are different from lines. http://www.pbs.org/teachersource/mathline/lessonplans/hsmp/outofline/outofline_procedure.shtm 5. Cat and Mouse Direct variation and inverse variation can be taught using the familiar „cat and mouse‟ brainteaser. http://www.articlesforeducators.com/dir/mathematics/cat_and_mouse.asp 6. Very Varied This lesson teaches students about inverse variation by exploring the relationship between the heights of a fixed amount of water poured into cylindrical containers of different sizes as compared to the area of the containers‟ bases. http://www.learner.org/channel/workshops/algebra/workshop7/lessonplan2.html A.FO.07.12 1. This website offers a step-by-step tutorial on how to evaluate expressions. The user is provided with examples and expressions, many with exponents, to evaluate. http://www.math.com/school/subject2/lessons/S2U2L3GL.html 2. A website that provides students an overview of the math involved in evaluating expressions and practice problems to complete on-line. http://www.aaaknow.com/equ723x2.htm A.FO.07.13 1. This is a website where students can select from several different types of equations to work with. Each lesson gives an overview of the math involved in solving equations and then provides practice problems to complete on-line. http://www.aaaknow.com/equ.htm 2. This is an interactive website that presents students with equations to solve. Students must decide what operation and number to use. This activity would work for whole group instruction as well. The site provides different levels of difficulty to challenge students. http://www.waldomaths.com/Equation2.jsp 3. This lesson plan provides details on how to use a calendar as a real-life application of writing and solving equations. http://math.rice.edu/~lanius/Lessons/calen. GEOMETRY 7th GRADE RESOURCES G.SR.07.01 1. This web site contains directions for basic constructions that can lead to constructions involving rectangles, parallelograms, and other shapes. http://whistleralley.com/construction/reference.htm 2. Isometric Drawing Tool Use this interactive applet to create dynamic drawings on isometric dot paper. Draw figures using edges, faces or cubes. You can shift, rotate color, decompose, and view in 3D or 2D. http://illuminations.nctm.org/tools/isometric/isometric.asp G.SR.07.02 1. http://mathforum.org/~sarah/shapiro/index.html 2. This website contains instructions on basic constructions. http://www.nvcc.edu/home/tstreilein/constructions/ 3. Geometric Constructions What are ruler and compass constructions? Ruler and compass constructions only use undivided rulers, and compasses. The ruler can only be used to draw lines between or passing through two existing points. Compasses can be used for drawing circles or arcs from an existing center point and another point determining the radius. Many step by step directions are provided. http://www.zefdamen.nl/CropCircles/Constructions/Constructions_en.htm 4. Geometric Constructions These constructions are more advanced. Many web pages are introduced and provided. http://www.math.niu.edu/~rusin/known-math/index/51M15.html 5. Geometry Construction Reference Compass and straight edge construction are described with very clear directions. http://whistleralley.com/construction/reference.htm 6. Designs with Circles Students can construct a number of compass and straightedge designs using ideas from this site. They can extend a geometric pattern, look for different kinds of symmetry, identify regular polygons, and experiment with variations on the initial design. http://mathforum.org/alejandre/circles.html 7. Getting it Right Students construct a variety of right triangles using a right angled set square, cutting corners from pieces of paper or cardboard, or using dynamic geometry software. http://cnets.iste.org/students/pf/pf_get_it_right.html G.TR.07.03 1. http://regentsprep.org/Regents/math/similar/PracSim.htm 2. http://regentsprep.org/Regents/math/similar/Lsimilar.htm G.TR.07.04 1. In Your Shadow On a sunny day, students measure their height and the length of their shadow and use proportional reasoning to find the heights of various tall objects by measuring the lengths of the shadows of the objects. http://illuminations.nctm.org/index_d.aspx?id=515 2. Tree Measurements This activity is used to help understand vertical and horizontal measurement of large objects. http://www.eduref.org/Virtual/Lessons/Mathematics/Measurement/MEA0011.html 3. Shops at the Mall: Lesson 2 of 2 Given recommended allocations of square footage for different types of stores in a mall, students compute the area devoted to each types of store in a mall of one million square feet. They construct a scale drawing of the proposed shopping mall. Suggested extensions provide opportunities for data collection. http://illuminations.nctm.org/index_d.aspx?id=266 4. Ohio Assessment Item on Scale Drawing: Students are asked to determine the actual dimensions of a kitchen from a scale drawing. This short-answer question is a sample item used in the 2005 Ohio Grade 7 Achievement Test. http://ims.ode.state.oh.us/ODE/IMS/Assessment/Content/CMA_AI_200503_GR07_06.pdf G.TR.07.05 1. Serra, M. (1994). Patty Paper Geometry. Emeryville, CA: Key Curriculum Press. Bennett, D. (2002). Exploring Geometry with The Geometer's Sketchpad (Version 4). Emeryville, CA: Key Curriculum Press. http://www.keypress.com 2. http://nlvm.usu.edu/en/nav/frames_asid_165_g_3_t_3.html?open=instructions 3. Similar Triangles Java program for the classroom. The teacher or student can manipulate the sides of the triangle. http://www.cccoe.k12.ca.us/javamath/geometry/simtri.htm 4. Similar Triangle Lesson Plan The objective of this lesson is to determine when triangles are similar using SSS Similarity, AA Similarity, SAS Similarity, and congruency and to recognize the uses of similar triangles in determining unknown distances. http://www.mste.uiuc.edu/courses/ci303fa01/students/kethoms1/lessonplan/Lesson_Plan.htm 5. Triangle Congruence This applet helps students discover the three sets of criteria (SSA, ASA, SAS) that determine congruent triangles by seeing for themselves that there is at most one triangle they can construct with specified combinations of angles and sides. http://nlvm.usu.edu/en/nav/frames_asid_165_g_3_t_3.html?open=instructions 6. Geometry Online This site provides more than a dozen links to a variety of activities and resources materials related to geometry. Topics range form simple polygons to non-Euclidean geometry. http://math.rice.edu/~lanius/Geom/index.html 7. Find the Star This activity page reviews triangle congruency conditions by providing pictures of triangles. It is self-checking. http://www.pen.k12.va.us/Div/Winchester/jhhs/math/lessons/geometry/tristar.html G.TR.07.06 1. http://standards.nctm.org/document/eexamples/chap6/6.3/index.htm#applet: 2. http://images.rbs.org/activities_plans/media/plans/127_rep_tiles_4-5.pdf DATA AND PROBABILITY 7th GRADE RESOURCES D.RE.07.01 1. These websites are sources for a variety of data: http://www.nbcolympics.com (select Results and Schedules) http://lib.stat.cmu.edu/DASL (select Data Subjects) http://www.census.gov (Data on population, income, etc.) http://mathforum.org/workshops/usi/dataproject/index.html (Lesson plans and data sources) 2. This list of websites offers lesson plan ideas for representing and interpreting data. http://teachers.net/lessons/posts/736.html http://mynctm.org/eresources/view_article.asp?article_id=6221 http://teachers.net/lessons/posts/736.html 3. This website has an interactive box plot: http://www.shodor.org/interactivate/lessons/BoxPlots/ 4. A website from the National Center for Education Statistics that allows students to create bar, line, pie, area, and coordinate graphs on-line. http://nces.ed.gov/nceskids/graphing/ 5. Box Plot Use this tool to summarize data using a box plot graph. http://nlvm.usu.edu/en/nav/category_g_4_t_5.html 6. Histogram Use this tool to summarize data using a histogram graph. http://nlvm.usu.edu/en/nav/category_g_4_t_5.html 7. Pie Charts Use this tool to summarize data using a pie graph. http://nlvm.usu.edu/en/nav/category_g_4_t_5.html 8. Stem-and-Leaf Graphs Use this tool to summarize data using stem-and-leaf graphs. http://www.shodor.org/interactivate/lessons/stemlf.html In addition, a worksheet is provided at the following site: http://www.shodor.org/interactivate/activities/stemleaf/worksheet.html 9. Bereska, Carolyn, Bolster, L. Cary, and Dr. Richard Scheaffer. Exploring Statistics in Elementary Grades 3-8, Book 2. Elementary Quantitative Literacy Project. Dale Seymour Publications, 1998. D.AN.07.02 1. This site gives students step by step directions on how to find the equation of the line of best fit for a given set of data. http://regentsprep.org/Regents/Math/data/linefit.htm 2. This activity allows the user to enter a set of data, plot the data on a coordinate grid, and determine the equation for a line of best fit. http://illuminations.nctm.org/ActivityDetail.aspx?ID=146 D.AN.07.03 1. NCTM Navigations Series - Navigating through Data Analysis in grade 6-8 http://my.nctm.org/eBusiness/ProductCatalog/product.aspx?ID=12325 D.AN.07.04 1. http://www.statcan.ca/english/edu/power/ch12/range.htm#ex2 2. NCTM Navigations Series - Navigating through Data Analysis in grade 6-8 http://my.nctm.org/eBusiness/ProductCatalog/product.aspx?ID=12325 3. About Our Class In this last of four lessons on personal data, students enter numerical and categorical data on activity sheets, compute means of the numerical data, and decide how to display appropriately the numerical versus categorical data. The activity sheet and problem extensions are included. http://illuminations.nctm.org/index_d.aspx?id=232 4. The Celebrated Jumping Frog: Lesson 3 of 5 Using the story “The Celebrated Jumping Frog of Calaveras County” by Mark Twain, students simulate a jumping-frog contest and determine the distances “jumped.” The students record the distance of individual jumps in centimeters and determine the total distance jumped. http://illuminations.nctm.org/index_d.aspx?id=189 5. Statistics: Power from Data This is an explanation of the definitions with examples of quartiles and interquartile ranges. http://www.statcan.ca/english/edu/power/ch12/range.htm#quartiles 6. First Class First? Students analyze and interpret data related to the crew and passengers of the Titanic. They will draw conclusions to better understand the people who were lost or saved as a result of the disaster and whether social status was a factor. http://www.sciencenetlinks.com/lessons.cfm?DocID=76