Engaging Mathematics: TEKS-Based Activities Grade 8 TEKS .
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Table of ContentsSAMPLEIntroduction . i–viiiOverview of Materials . iTexas Essential Knowledge and Skills (TEKS) Alignment Chart . ivNumber, Operation, and Quantitative Reasoning . 1–51Convert Between Rational Numbers . 2Compare and Order Positive Rational Numbers. 6Compare and Order Rational Numbers . 10Irrational Numbers . 12Scientific Notation, Activity 1. 14Scientific Notation, Activity 2 (Technology) . 18Scientific Notation, Activity 3. 20Rational Number Operations, Activity 1 . 22Rational Number Operations, Activity 2 . 24Rational Number Operations, Activity 3 . 26Rational Number Operations, Activity 4 . 28Fraction Operations, Activity 1 . 30Fraction Operations, Activity 2 . 32Decimal Operations, Activity 1 . 34Decimal Operations, Activity 2 . 36Integer Operations, Activity 1. 38Integer Operations, Activity 2. 42Application Problems Using Rational Numbers, Activity 1 . 46Application Problems Using Rational Numbers, Activity 2 . 48Determine Reasonableness of a Solution . 50Patterns, Relationships, and Algebraic Thinking. 52–147Unit Rates, Activity 1 . 52Unit Rates, Activity 2 . 56Unit Rates, Activity 3 . 58Proportional Relationships, Activity 1 . 60Proportional Relationships, Activity 2 . 62Proportional Relationships, Activity 3 . 64Application Problems Using Proportional Relationships, Activity 1 . 66Application Problems Using Proportional Relationships, Activity 2 . 68Application Problems Using Proportional Relationships, Activity 3 . 70Application Problems Using Proportional Relationships, Activity 4 . 72Percents, Activity 1 . 74Percents, Activity 2 . 76Application Problems Using Percents, Activity 1 . 78Application Problems Using Percents, Activity 2 . 80Application Problems Using Percents, Activity 3 . 82Application Problems Using Percents, Activity 4 . 84Application Problems Using Percents, Activity 5 . 86Application Problems Using Percents, Activity 6 . 90Proportional and Non-Proportional Relationships, Activity 1 . 92
SAMPLEProportional and Non-Proportional Relationships, Activity 2 . 94Proportional and Non-Proportional Relationships, Activity 3 . 96Proportional and Non-Proportional Relationships, Activity 4 . 100Proportional and Non-Proportional Relationships, Activity 5 . 102Proportional and Non-Proportional Relationships, Activity 6 . 106Patterns, Activity 1 . 108Patterns, Activity 2 . 110Sequences, Activity 1. 112Sequences, Activity 2. 114Multiple Representations, Activity 1 . 116Multiple Representations, Activity 2 . 118Multiple Representations, Activity 3 . 120Multiple Representations, Activity 4 (Technology) . 122Modeling Equations, Activity 1 . 126Modeling Equations, Activity 2 . 128Equations, Activity 1. 132Equations, Activity 2. 134Equations, Activity 3. 138Equations, Activity 4. 142Equations, Activity 5. 144Equations, Activity 6 (Technology) . 146Geometry and Spatial Reasoning . 148–179Coordinate Plane, Activity 1 . 148Coordinate Plane, Activity 2 . 150Translations . 154Reflections . 158Dilations on a Coordinate Plane, Activity 1 . 160Dilations on a Coordinate Plane, Activity 2 . 164Dilations on a Coordinate Plane, Activity 3 . 166Similar Figures, Activity 1 . 168Similar Figures, Activity 2 . 172Similar Figures, Activity 3 . 176Similar Figures, Activity 4 . 178Measurement . 180–229Proportional Changes on Perimeter, Activity 1 . 180Proportional Changes on Perimeter, Activity 2 . 182Proportional Changes on Area, Activity 1 . 184Proportional Changes on Area, Activity 2 . 186Application Problems Using Proportional Changes. 188Pythagorean Theorem Models, Activity 1 . 190Pythagorean Theorem Models, Activity 2 . 192Application Problems Using the Pythagorean Theorem, Activity 1 . 194Application Problems Using the Pythagorean Theorem, Activity 2 . 196Art and Architecture Problems, Activity 1 . 198Art and Architecture Problems, Activity 2 . 200Three-Dimensional Figures . 202
SAMPLESurface Area, Activity 1 . 204Surface Area, Activity 2 . 206Surface Area, Activity 3 . 210Surface Area, Activity 4 . 212Application Problems Using Surface Area, Activity 1. 214Application Problems Using Surface Area, Activity 2. 216Volume, Activity 1 . 218Volume, Activity 2 . 220Volume, Activity 3 . 222Application Problems Using Volume. 224Proportional Changes on Volume, Activity 1 . 226Proportional Changes on Volume, Activity 2 . 228Probability and Statistics . 230–271Experimental Probability . 230Probability, Activity 1 . 232Probability, Activity 2 (Technology). 236Probability, Activity 3 . 238Probability, Activity 4 . 240Present and Display Data, Activity 1. 242Present and Display Data, Activity 2 (Technology) . 244Present and Display Data, Activity 3. 248Scatterplots, Activity 1 . 250Scatterplots, Activity 2 (Technology) . 252Data Analysis, Activity 1 . 256Data Analysis, Activity 2 . 258Data Analysis, Activity 3 . 260Data Analysis, Activity 4 . 262Statistical Measures of Data, Activity 1 . 266Statistical Measures of Data, Activity 2 . 270Resources . 272–273Conversion Chart. 272Formula Chart. 273
Engaging Mathematics:Grade 8 TEKS-Based ActivitiesApplication Problems Using Proportional Relationships, Activity 2Activity ObjectiveThe student will use a problem-solving board to solve an application problem involving aproportional relationship.Materials GardeningFacilitation Questions What is the question asking you to do?Answers may vary. Possible answer: Find the area of the backyard garden.What do you know?Answers may vary. Possible answer: I know the cost and square footage of the similarfront yard garden. I also know the cost of the backyard garden. What strategy could you use to find the area of the backyard garden?Answers may vary. Possible answer: Since the cost per square foot is the same, I couldset up a proportion and solve the proportion to find the square footage of the backyardgarden.PLE SAMAnswerThe area of the backyard will be 112 square feet.68 Region 4 Education Service CenterAll rights reserved
Engaging Mathematics:Grade 8 TEKS-Based ActivitiesStudent Name: Date:GardeningMs. Vega is planning to make a garden in her backyard similar to the garden in her front yard.The garden in the front yard has an area of 84 square feet and cost 273 for supplies andplants. To make a similar garden in the backyard will cost 364. If Ms. Vega keeps the cost persquare foot the same, what will be the area of the backyard garden? Justify your answer.SEE:What is the question asking me to do?PLAN:What strategy can I use to solve the problem?Why?EWhat do I know?Estimate the answer.PLWhat do I need to know?REFLECT:Did I answer the question asked?Is my answer reasonable? Why or why not?SAMDO: (Solve)Answer:Communicating About MathematicsExplain the difference between feet and square feet. Region 4 Education Service CenterAll rights reserved69
Engaging Mathematics:Grade 8 TEKS-Based ActivitiesModeling Equations, Activity 2Activity ObjectiveThe student will use picture models to solve a multistep equation and record the actions withsymbols.Materials Equation Models Equation Models Cards—one set per student Scissors Tape or gluePLHow could you translate the value of the model to numbers and variables?Answers may vary. Possible answer: I could use the variable x to represent each x-barin the picture. I could count the number of negative tiles and represent their value with anegative integer. I could count the number of positive tiles and represent their value witha positive integer.M EFacilitation Questions Based on the key, how could you represent 3x ? 2 ? 10?I could use three white bars to represent 3 x , two black squares to represent 2 , andten white squares to represent 10.AnswersSAPicture Model128Symbolic Representation 3 x 2 10 3 x 2 2 10 2 3x 12 3x 12 33 x 4 Region 4 Education Service CenterAll rights reserved
Engaging Mathematics:Grade 8 TEKS-Based ActivitiesStudent Name: Date:Equation ModelsCut apart the Equation Models Cards. Arrange the cards so that theyrepresent a correct sequence of steps that could be used to solve theequation 3 x 2 10 . Attach the cards in the appropriate place in thetable below and write the corresponding symbolic representation for eachpicture model.Picture ModelKeyx1–x–1Symbolic RepresentationSAMPLE3 x 2 10Communicating About MathematicsDefine a neutral pair. Region 4 Education Service CenterAll rights reserved129
Engaging Mathematics:Grade 8 TEKS-Based ActivitiesEquation Models CardsCut along the bold dotted lines. Two sets of cards are provided. E PL SA M 130 Region 4 Education Service CenterAll rights reserved
Engaging Mathematics:Grade 8 TEKS-Based ActivitiesProportional Changes on Perimeter, Activity 1Activity ObjectiveThe student will apply a scale factor to change a shape proportionally.Materials Paper Clip Perimeters Paper clips—approximately 30 per studentFacilitation Questions How could you create a rectangle using paper clips?Answers may vary. Possible answer: I could join the 12 paper clipstogether to form a loop and form a rectangle using the loop.Toothpicks,straws, orpopsiclesticks maybe used inplace ofpaperclips.What is a dimension?A dimension is the length of a side of a figure. What are the dimensions of your original rectangle?Answers may vary. Possible answers: one by five, two by four, or three by three What does it mean to double?To double is to multiply by two.PLE SAMAnswersAnswers may vary. Possible answer:Original Rectangle: two paper clips by four paper clips2 paper clips4 paper clipsNew Rectangle: four paper clips by eight paper clips4 paper clips8 paper clips180 Region 4 Education Service CenterAll rights reserved
Engaging Mathematics:Grade 8 TEKS-Based ActivitiesStudent Name: Date:Paper Clip PerimetersPLEUse 12 paper clips to create a rectangle. Sketch your rectangle below and label thedimensions.SAMDouble each dimension of your original rectangle and create a new rectangle using paperclips. Sketch the new rectangle below and label the dimensions.Communicating About MathematicsDescribe the similarities and differences between the original rectangle and the new rectangle. Region 4 Education Service CenterAll rights reserved181
Engaging Mathematics:Grade 8 TEKS-Based ActivitiesProbability, Activity 2 (Technology)Activity ObjectiveThe student will use a calculator to simulate independent events.Materials Simulating Probability Graphing calculator with APPS program Probability SimulationinstalledPlace studentsin groups of twofor thisactivity.Facilitation Questions How many times does a result of two appear in your table? Whatfraction of the data does this represent?Answers may vary.If two’s were rolled in ten trials, how could you predict thenumber of times a two would be rolled out of 100 trials?Answers may vary. Possible answer: I could write a proportion. How many times does a marble marked with a B appear in your table? Whatfraction of the data does this represent?Answers may vary. If marbles marked with a B were drawn in ten trials, how could you predict thenumber of times a marble marked with a B would be drawn out of 100 trials?Answers may vary. Possible answer: I could write a proportion.SAAnswers1 Answers will vary.2 Answers will vary.MPLE Note: The graphing calculator APPS program Probability Simulation can be downloaded fromthe Texas Instruments website (http://education.ti.com).236 Region 4 Education Service CenterAll rights reserved
Engaging Mathematics:Grade 8 TEKS-Based ActivitiesStudent Name: Date:Simulating Probability Determine who will be Student A and Student B.Follow the appropriate steps outlined below.Student BStudent APress A.Select Prob Sim and press e twice.Select Pick Marbles, then e.Simulate one draw of a marble bypressing @. Record your result inthe table.5. Repeat 9 times.E1.2.3.4.PL1. Press A.2. Select Prob Sim and press etwice.3. Select Roll Dice, then e.4. Simulate one roll of the number cubeby pressing @. Record yourresult in the table.5. Repeat 9 times.Trial1 Using the results from your table, predict thenumber of times a 2 will be rolled in 100 rolls.Roll(number)Marble(letter)1M2SA2 Using the results from your table, predict thenumber of times a B will be drawn in 100 draws.345678910Communicating About MathematicsDoes the roll of a dice affect the draw of a marble? Why or why not? Region 4 Education Service CenterAll rights reserved237
Grade 8 ISBN: 978-1-934950-69-2 www.theansweris4.net Engaging Mathematics: TEKS-Based Activities Grade 8 Teacher Edition Product ID: 407-1602 Creating solutions that are the worldwide standard for educational excellence Revolutionizing ed
Grade TEKS Third Grade TEKS Fourth Grade TEKS Fifth Grade TEKS Sixth Grade TEKS Seventh Grade TEKS Eighth Grade K.1 The student conducts classroom and outdoor . practice appropriate use and conservation of resources, including disposal, reuse, or recycling of materials 7.1B practice appropriate use and conservation of
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