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7th grade Math RESOURCES - Mason-Lake ISD - Oceana ISD - Home

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```									                         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.

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.
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
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

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.

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

A.PA.07.03
1. NCTM's site with several lessons connecting Algebra topics to other standards.

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.
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.

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
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.

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.
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.
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

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.

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.
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
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

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

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.