Best Standards-Based Technology Integration Practices

for 21st Century Classrooms in Harrison County Schools

Janet Benincosa, Harrison County Technology Integration Specialist

 

LUMBERPORT MIDDLE:  EIGHTH GRADE MATH

Team Members:  Jessica Logar, Connie Payton and Barb Brunetti

 

21st CENTURY

EIGHTH GRADE MATH

CONTENT STANDARDS AND OBJECTIVES FOR WEST VIRGINIA SCHOOLS  (2520.2)

 

The West Virginia Standards for 21st Century Learning include the following components:

21st Century Content Standards and Objectives and 21st Century Learning Skills and Technology Tools. 

 

All West Virginia teachers are responsible for classroom instruction that integrates learning skills, technology tools and content standards and objectives. 

 

Eighth Grade Math

M.O.8.1.1

analyze, describe and compare  the characteristics of rational and irrational numbers.

Learning Math

This site is very helpful for student notes, homework help, and video for terminating and repeating decimals, converting decimals to fractions, fractions to decimals, and ordering fractions.

http://www.learner.org/channel/courses/learningmath/number/session7/part_a/repeating.htm

 

Too Big or Too Small

In this lesson, students develop number sense through a series of three hands-on activities. Students explore the following concepts: the magnitude of a million, fractions between 0 and 1, and the effect of decimal operations

http://illuminations.nctm.org/LessonDetail.aspx?id=L252

 

ACC Basketball:

The students will use basketball statistics to practice the process of converting fractions to decimals and then to percents.  They will also apply their information to a spreadsheet to analyze their data.

www.learnnc.org/lessons/SusanDougherty5232002883

 

M.O.8.1.2

analyze and solve application problems with

  • powers, / squares, / square roots, / scientific notation, and / verify solutions using estimation techniques.

Tic Tac Toe Squares

This is a game for finding the square roots of numbers less than 1000.

http://www.funbrain.com/cgi-bin/ttt.cgi?A1=s&A2=17&A3=0&INSTRUCTS=1

 

Square Roots and Cubes

Free presentation in a PowerPoint format for kids, teachers, and parents.

http://math.pppst.com/roots.html

 

Baseball Fun: Percentages, Decimals, and Fractions:

Students will learn the concepts behind fractions, decimals, and percents by using sports statistics found on baseball cards.

www.learnnc.org/lessons/adrianbustle4212004284

 

Surf to the Planets on the Internet:

Students will differentiate the distances between two planets, convert from miles to yards, use diameter to make conclusions, and calculate how long it will take to travel a certain distance when given the sped travel and the distance traveled.

www.eduref.org/Virtual/Lessons/Mathematics/Measurement/MEA0013.html

 

M.O.8.1.3

analyze and solve grade-appropriate real-world problems with

  • whole numbers, / decimals, / fractions, / percents, percent increase and decrease, / integers, and / including, but not limited to, rates, tips, discounts, sales tax and interest and verify solutions using estimation techniques.

MRS. M'S MATH MANIA

For true Web-based problem-solving activities, students can click on this informational Web site and then solve problems based on the information they obtain. The sites visited feature sports scoreboards, chocolate chip cookie recipes, roller coasters, and more!

http://www.tlgrant.r9esd.k12.or.us/math/magill/mania/mathmani.html

 

ABC Math Directory:

This is a great site for printable worksheets, activities, and manipulative (Adobe Reader 7.0 format) from basic to advanced skills.  It offers real world problems relative to middle school students. http://abcteach.com/directory/basics/math/

 

Chocolate Fever:

Students will calculate the amount of time needed to travel to Hershey Park and budget
the appropriate amount of money for food, travel, lodging, and miscellaneous expenditures. Students will keep a trip agenda, travel log, and a trip journal. They will collect evidence that supports their decisions for the agenda. This unit has 5 lessons.

http://www.thesolutionsite.com/lesson/871/summersmsB1.html

 

O-OOPS! Game

Students must match correct value cards with the expression by following the order of operations. (3-4 players per group)

www.rice.edu/armadillo/Algebra/Lessons/Order/oopsgame.html

 

M.O.8.2.1

use a variety of strategies to solve one and two-step linear equations and inequalities with rational solutions; defend the selection of the strategy; graph the solutions and justify the reasonableness of the solution.

Rags to Riches

This is a fun practice for 1-step, 2-step and multi-step equations. The game is similar in nature to "Who Wants to Be a Millionaire"

http://www.quia.com/rr/4096.html

 

M.O.8.2.2

identify proportional relationships in real-world situations, then find and select an appropriate method to determine the solution; justify the reasonableness of the solution.

Go Fishing!

Students will use their data collection, interpret their data, and use proportional reasoning to determine the number of animals in a population that scientists often use the capture-recapture method.

http://fcit.usf.edu/math/lessons/activities/GoFishT.htm

 

Go Finishing Worksheet:

http://fcit.usf.edu/math/lessons/activities/GoFishS.htm

 

M.O.8.2.3

add and subtract polynomials limited to two variables and positive exponents.

The Product Game:

There are 4 lessons and two games, which work well together by helping students see the relationships between products and factors.

http://illuminations.nctm.org/LessonDetail.aspx?id=U100

 

M.O.8.2.4

use systems of linear equations to analyze situations and solve problems.

Walk the Plank

Ever thought you could lose weight by the foot, not by the pound? Students will use data collection, graphing calculators, interpret data, y=Mx+b, graphing linear equations, and make predictions.

http://fcit.usf.edu/math/lessons/activities/plankT.htm

Student Worksheet for Walk the Plank

http://fcit.usf.edu/math/lessons/activities/plankS.htm

Wacky Water World

It is Saturday and the new water theme park has just opened. You and your friends are making plans to attend. You check the plans at the ticket counter, and since you have a limited amount of money, you want the best buy. Students will use linear equations, graphing calculators, interpret data, y=mx+b, graphing linear equations, graphing calculator commands, make predictions.

http://fcit.usf.edu/math/lessons/activities/wackyT.htm

Student Worksheet for Wacky Water World

http://fcit.usf.edu/math/lessons/activities/wackyS.htm

 

M.O.8.2.5

apply inductive and deductive reasoning to write a rule from data in an input/output  table, analyze the table and the rule to determine if a functional relationship exists.

Writing Rules for Patterns

Self-check quiz for rules and patterns.

http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=1-57039-850-X&chapter=1&lesson=3

 

Lego Learning:

This science/math unit uses high interest manipulatives in order to help students learn the basics of data collection, and data manipulation, graphing, and research.

http://www.thesolutionsite.com/lesson/9603/overview.html

 

M.O.8.2.6

graph linear equations and inequalities within the Cartesian coordinate plane by generating a table of values (with and  without technology).

Human Coordinate Plane

Students will be graphing coordinate pairs and representing lines and inequalities by arranging their desks in a square array to make themselves a human coordinate plane. Each of them will receive a card with an ordered pair (x,y) on it…

http://fcit.usf.edu/math/lessons/activities/HumanPT.htm

 

Student worksheet for Human Coordinate Plane:

http://fcit.usf.edu/math/lessons/activities/HumanLS.htm

 

M.O.8.2.7

formulate and apply a rule to generate an arithmetic, geometric and algebraic pattern.

Number Cracker

Help Mr. Cracker obtain the secret code before the insidious Prof. Soup catches him by guessing what number comes next in a series of numbers.

http://www.funbrain.com/cracker/index.html

 

M.O.8.2.8

determine the slope of a line using a variety of methods including

graphing

change in y over change in x 

equation

Algebra vs. Cockroaches

In this interactive game, the student must determine the slope of the line that cockroaches are crawling along to destroy them.

http://hotmath.com/hotmath_help/games/kp/kp_hotmath_sound.swf

 

M.O.8.2.9

represent and solve real-world grade-appropriate problems using multiple strategies and justify solutions.

Taming Word Problems

This is a great site for decoding word problems with a Harry Potter theme.

http://www.internet4classrooms.com/word_problems_quest.htm

 

Word Problems for Kids

This Web Site contains word problems for students and teachers. The problems are classified into grade levels from Grade 5 to Grade 12. You can try any problem you like and if the problem is a little difficult you can get helpful hints by following the hints link.

http://www.stfx.ca/special/mathproblems/grade8.html

 

M.O.8.2.10

identify a real life problem involving change over time; make a prediction as to the outcome; develop, justify, and implement a method to collect, organize, and analyze data; generalize the results to make a conclusion; compare the prediction and the result of the investigation; present the problem using words, graphs, drawings, models, or tables.

Graphing the World Around Us:

This unit will show how different types of graphs may be used with several subjects. The different types of graphs used in the unit will be pictographs, bar graphs, line graphs, and the coordinate system. We will use these graphs to represent endangered
animals, depths/size of the Great Lakes, human population changes, and map locations.

http://www.thesolutionsite.com/lpnew_bin/UI_Metadata/public/5102

 

Exploring Geometry:

Students will create three-dimensional figures, construct a three-dimensional model of a city using similar and congruent figures and geometric transformations, create a two-dimensional representation of their city. Find the surface area of three-dimensional figures.

http://school.discovery.com/lessonplans/programs/DM_exploring_geometry/

 

M.O.8.3.1

justify the relationships among corresponding, alternate interior, alternate exterior and vertical angles when parallel lines are cut by a transversal using models, pencil/paper, graphing calculator, and technology.

Fun With Angles:

This site will help students visualize alternate interior, alternate exterior, and corresponding angles when coplanar lines are cut by a transversal.

http://www.learnnc.org/lessons/TeachersConnect6182002633

 

M.O.8.3.2

classify polyhedrons according to the number and shape of faces; use inductive reasoning to determine the relationship between vertices, faces and edges (edges + 2 = faces + vertices).

Solid Figures

PowerPoint helps to classify polyhedrons by playing interactive games.

http://math.pppst.com/geometry.html

 

Discovery Education: Maths Mansion: 33. A Very Fine Pet is a Polyhedron

This is a video (grades 3-8) where a group of children are trapped in Maths Mansion. To get out, they must take part in regular game shows to test their mathematics knowledge. In this episode, the children learn the attributes of polyhedra. Offers an interactive viewer’s challenge in the last segment. (9:19)

www.unitedstreaming.com

 

M.O.8.3.3

identify, apply, and construct perpendicular and angle bisectors with and without technology ) given a real-world situation,.

Construction:

The PowerPoint walks students through the construction of copying a segment, copying an angle, and angle bisecting.

http://exchange.guhsd.net/teacher_objects/Constructions.ppt

 

United Streaming: Discovering Math: Geometry (Grades 6-8)

Basic Geometry Constructions (7:19) which includes and introduction, copying a triangle, an angle bisector, and perpendicular bisector.

www.unitedstreaming.com

M.O.8.3.4

create geometric patterns including tiling, art design, tessellations and scaling using transformations (rotations, reflections, translations) and predict results of combining, subdividing, and changing shapes of plane figures and solids.

Building a Box:

This lesson uses a real-world situation to help develop students' spatial visualization skills and geometric understanding. Emma, a new employee at a box factory, is supposed to make cube‑shaped jewelry boxes. Students help Emma determine how many different nets are possible and then analyze the resulting cubes.

http://illuminations.nctm.org/LessonDetail.aspx?id=L570

 

Translations, Reflections, Rotations

Students explore the world of translations, reflections, and rotations in the Cartesian coordinate system by transforming squares, triangles, and parallelograms.

www.learnnc.org/lessons/DeborahBourne2112003101

 

M.O.8.3.5

create scale models of similar figures using ratio, proportion  with pencil/paper and technology  and determine scale factor

Far Out Math:

An integrated thematic unit using hands-on activities to help students understand the relative sizes of the Earth and it's moon, demonstrate the immensity of the solar
system, and help students understand the three-dimensional space that exists beyond the boundaries of our solar system.
http://www.thesolutionsite.com/lpnew_bin/UI_Metadata/public/704

 

Constant Dimensions:

Students will measure the length and width of a rectangle using both standard and non-standard units of measure. In addition to providing measurement practice, this lesson allows students to discover that the ratio of length to width of a rectangle is constant, in spite of the units.

http://illuminations.nctm.org/LessonDetail.aspx?id=L572

Exploring Similarity Using Scale Drawings:

The students will explore properties of similarity using models, measurement, and calculation.

www.eduref.org/Virtual/Lessons/Mathematics/Geometry/GEO0003.html

 

Discovering Education: United Streaming: Project Mathematics: Similarity

This video segment introduces similarity as the basis of all measurement. It reveals the secret of map making and scale drawings, and also explains some aspects of photographic images. Similarity helps explain why a hummingbird's heart beats so much faster than a human heart, and why it is impossible for a small creature such as a praying mantis to become as large as a horse. (12 segments at a total of 26:00)

www.unitedstreaming.com

 

M.O.8.3.6

make and test a conjecture concerning

  • regular polygons,
  • the cross section of a solid such  as a cylinder, cone, and pyramid,
  • the intersection of two or more geometric figures in the plane (e.g., intersection of a circle and a line), and

justify the results.

Polygon Capture:
In this lesson, students classify polygons according to more than one property at a time. In the context of a game, students move from a simple description of shapes to an analysis of how properties are related.

http://illuminations.nctm.org/LessonDetail.aspx?id=L270

 

Sorting Polygons:

Students identify and classify polygons according to various attributes. They then sort the polygons in Venn Diagrams, according to these attributes. Extensions to fundamental ideas about probability and statistics are also included.

http://illuminations.nctm.org/LessonDetail.aspx?id=L277

 

M.O.8.4.1

select and apply an appropriate method to solve; justify the method and the reasonableness of the solution of problems involving volume of

·        prisms

·        cylinders

·        cones

·        pyramids

·        spheres

given real-world problem solving situations.

Measuring Beast:

This is a 4-lesson unit that involves measuring in metric units, finding perimeter, volume and density. Students will be measuring daily the growth of a small animal (non living) that grows in water. These lessons will focus on an understanding of physical measurements, use of equipment, graphing and interpretation of changes, and physical relationships.
http://www.thesolutionsite.com/lesson/1116/EGJHSA1.html

Using Cubes and Isometric Drawings

In this interactive geometry investigation, students explore polyhedra using different representations and perspectives for three dimensional block figures. In addition, students will examine area and volume concepts for block figures within this context.

http://illuminations.nctm.org/LessonDetail.aspx?id=U166

 

Cubes Everywhere:

Students will construct and visualize two- and three-dimensional shapes, engage in explorations designed to enhance spatial visualization skills, and observe and identify characteristics of two- and three-dimensional objects.

http://illuminations.nctm.org/LessonDetail.aspx?id=L616

 

United Streaming: Discovering Math: Geometry (Grades 6-8)

Defining Properties of 3-D Figures (7:57)

This video includes an introduction and examples of the properties of cubes, spheres, rectangular prisms, pyramids, cylinder, and cones.

www.unitedstreaming.com

 

M.O.8.4.2

solve problems involving missing measurements in plane and solid geometric figures using formulas and drawings including irregular figures, models or definitions.

Measuring Up

This unit explores the concepts of proportional reasoning, ratio, and indirect measurement. Students engage in a variety of activities that involve taking their own measurements, exploring different ratios, and examining similar figures. Students convert measurements into customary and metric units. These activities immerse students in problem solving, reasoning, and making connections to real-life situations.

http://illuminations.nctm.org/LessonDetail.aspx?id=U148

 

Discovery Education: Discovering Math: Measurement (Grades 6-8): Problem Solving with Units and Conversion:

This video segment offers examples of a coliseum, travel and a balloon to solve and convert measurements. Total length of video – 9:42

www.unitedstreaming.com

 

M.O.8.4.3

solve right triangle problems where the existence of triangles is not obvious using the Pythagorean Theorem and indirect measurement in real-world problem solving situations.

Pythagoras Goes High Tech:

The five-lesson interdisciplinary unit engages students in
a variety of activities that lead them to the Pythagorean
Theorem and provide them an opportunity to apply the
theorem. Students write conjectures, summarize material,
express conclusions in sentence form, research the
development of the theorem and compose an informative
paragraph.

http://www.thesolutionsite.com/lpnew_bin/UI_Metadata/public/5305

 

Corner to Corner:

In the first lesson of this unit, students use pattern recognition to determine that the length of a diagonal of a square is equal to the side length times √2. They then attempt to discover the Pythagorean theorem by examining similar patterns for rectangles.

http://illuminations.nctm.org/LessonDetail.aspx?id=U174

 

United Streaming: Discovering Math: Geometry (Grades 6-8)

Pythagorean Theorem (8:50)

This video includes an introduction, an example of Pythagorean Theorem--An Informal Proof, a second example Finding the Hypotenuse--D.C. Walking Distance, and finally a third example of Find the Base--A Sail.

www.unitedstreaming.com

 

M.O.8.5.1

determine and explain whether a real-world situation involves permutations or combinations, then use appropriate technology to solve the problem.

Adjacent Circles:

Students are encouraged to discover all of the combinations for a given situation. They use problem-solving skills (including elimination and collection of organized data) to draw conclusions. The use of higher-level thinking skills (synthesis, analysis, and evaluations) is the overall goal.

http://illuminations.nctm.org/LessonDetail.aspx?id=L615

 

M.O.8.5.2

compare the experimental and theoretical probability of a given situation (including compound probability of a dependent and independent event).

Probability: The Study of Chance:

Students will use the game, “Rock, Paper, Scissors” to learn the basic principals of probability.

www.eduref.org/Virtual/Lessons/Mathematics/Probability/PRB0004.html

 

Gizmo Probability:

Theoretical and experimental probabilities are investigated using an ExploreMath activity in which darts are randomly thrown at a dartboard. (Advanced lessons are also listed in the same format.)

http://www.explorelearning.com/index.cfm?method=cResource.dspResourcesForCourse&CourseID=233

 

Boxed Up

Students explore the relationship between theoretical and experimental probabilities using an interactive tool known as a "box model." A "box model" is a statistical device that can be used to simulate standard probability experiments such as flipping a coin or rolling a die.

http://illuminations.nctm.org/LessonDetail.aspx?id=L448

 

M.O.8.5.3

create and extrapolate information from multiple-bar graphs, box and whisker plots, and other data displays using appropriate technology.

Representing Data:

This unit focuses on the application of mathematics to real-world situations. Students must deal with data to complete an organized chart for the purpose of transferring information to a graph or for generalizing a rule.

http://illuminations.nctm.org/LessonDetail.aspx?id=U73

 

State Names:

The students will determine the number of times that each letter of the alphabet is used when writing the names of all 50 states and understand how various representations, including steam-and-leaf plots, box-and-whisker plots, and histograms, can be used to organize the data.

http://illuminations.nctm.org/LessonDetail.aspx?id=L579

 

M.O.8.5.4

analyze problem situations, games of chance, and consumer applications using random and non-random samplings to determine probability, make predictions, and identify sources of bias.

Dealing With Data:

The following activity, a project based unit on statistics, furnishes a vehicle for problem solving through real data collection and analysis. Students use the mean, mode and median to analyze their data and use graphs to represent their findings.

This can be modified easily for the middle school.

http://illuminations.nctm.org/LessonDetail.aspx?id=L297

 

See How They Run!

Students will be randomly chosen per class period to run the 100-meter dash. A collection of times will be recorded and compared to the data of the other classes and world record times. They will display they data in various forms of graphs and make predictions on the gender with the fastest time and discuss bias.

http://www.learnnc.org/lessons/hollysmith11242004337#activities

 

M.O.8.5.5

draw inferences, make conjectures and construct convincing arguments involving

  • different effects that changes in data values have on measures of central tendency

·        misuses of statistical or numeric information, based on data analysis of same and different sets of data.

Baseball Stats:

Students will use baseball data available on the Internet to develop an understanding of the different ways in which data can be analyzed. First, they will practice selecting data to perform calculations in response to pre-formulated questions. Then they will use the data to formulate and answer their own questions.

http://www.sciencenetlinks.com/Lessons.cfm?DocID=108

 

Discovery Education - Discovering Math: Statistics and Data Analysis (Grades 6-8)

From measuring central tendency to frequency and distribution using statistical measures for a variety of purposes to sample selection methods, this video introduces middle school students to more advanced concepts of statistics and data analysis.

(36 Segments at a time of 1:25:15)

www.unitedstreaming.com