Identify Pairs Of Angles - Framework

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CENTER ACTIVITYName:LESSON 6Identify Pairs of AnglesWhat You Need Label Cards Figure CardsWhat You Do1Place the “congruent” and “supplementary” Label Cards side by side on one sideof the table. Place the Label Cards faceup on the other side of the table. Shufflethe Figure Cards and place them in a pile facedown.2Take turns. Draw a Figure Card. Then find a Label Card that describes thenumbered angles.3Explain how the measures of the numbered angles are related, if at all.   If you have enough information to know whether the angles are congruentor supplementary, place the Figure Card with its Label Card under either“congruent” or “supplementary.”   If you do not have enough information, discard the cards.4Continue until no cards are left.Check UnderstandingIn the figure, m/1 5 110 . Identify a pair of correspondingangles, a pair of same-side exterior angles, and a pair ofalternate interior angles. What are the measures of theangles in each pair? Explain how you know.1 23 45 67 8Go FurtherChoose a Figure Card and estimate the measure of one of the numbered angles. Useyour estimate to calculate the measure of the other numbered angle. Have a partnercheck your work. Curriculum Associates, LLC Copying permitted for classroom use.GRADE 8LESSON 6Page 1 of 3

CENTER ACTIVITYName:FIGURE CARDS AND LABEL CARDSLESSON 6 145362117810912141716151318212419232022 Curriculum Associates, LLC Copying permitted for classroom use.GRADE 8LESSON 6Page 2 of 3

CENTER ACTIVITYName:FIGURE CARDS AND LABEL CARDS continuedLESSON 6 272526293028alternatealternatealternateexterior angles exterior angles exterior anglesalternatealternatealternateinterior angles interior angles interior anglescorresponding corresponding ame-sideexterior angles exterior angles exterior anglessame-sidesame-sidesame-sideinterior angles interior angles interior anglescongruentsupplementary Curriculum Associates, LLC Copying permitted for classroom use.GRADE 8LESSON 6Page 3 of 3

CENTER ACTIVITYName:LESSON 7Similarity SearchWhat You Need Triangle CardsWhat You Do123Place all the TriangleCards facedown. Then flipone card over.ExampleAC50 60 Take turns. When it is yourturn, flip over a card andcompare it to the othercards that are faceup. (If noother cards are faceup, flipover a second card.) If yousee two cards that showsimilar triangles, take bothcards. If not, leave all thecards where they are.BM100 LNP90 J50 J 45 LPTA45 K40 60 RContinue until no cards are left. The player with the most cards wins.Check UnderstandingBAre the two triangles similar?Explain your reasoning.D30 95 CNM150 55 PGo FurtherMake six cards of your own that show three pairs of similar triangles. Mix themtogether with the original cards and play the game again. Curriculum Associates, LLC Copying permitted for classroom use.GRADE 8LESSON 7Page 1 of 3

CENTER ACTIVITYName:TRIANGLE CARDSLESSON 7 GAC50 B90 D30 60 BBDM100 40 RDJD140 F40 E120 80 H50 HGLL40 M50 H40 20 MK70 130 KJMR120 QP100 LT50 P40 N60 RP Curriculum Associates, LLC Copying permitted for classroom use.GRADE 8LESSON 7Page 2 of 3

CENTER ACTIVITYName:TRIANGLE CARDS continuedLESSON 7 QT70 V110 30 RV50 TWS60 120 XR70 SV130 XWU30 Curriculum Associates, LLC Copying permitted for classroom use.X80 160 40 ZGRADE 8LESSON 7YPage 3 of 3

CENTER ACTIVITYNames:LESSON 27Find Pythagorean TriplesWhat You Need Score Card, 1 per player Game Board number cube (1–6) counters, 1 of a different color per playerWhat You Do1Give each player a Score Card. Each row of the card shows theleg lengths of a Pythagorean triple.KEEP IN MIND . . .You can use the factthat a multiple of aPythagorean triple isalso a Pythagorean triple.For example, 10, 24,is a multiple of 5, 12,   .2Take turns. On your turn, roll the number cube. If possible, writethe number rolled in one of the blank spaces on your ScoreCard. Each number you write will be either the ones digit or tens digit of thehypotenuse length for one Pythagorean triple. If there are no blank spaces forthe number rolled, your turn is over.3When you complete your first Pythagorean triple, have the other players checkyour work. If you are correct, place your counter on home plate on the GameBoard. If you are not correct, your turn ends. Each time you complete anothertriple, move to the next base.4The first player to get back to home plate wins.Check UnderstandingWhich set of numbers is a Pythagorean triple? Explain.20, 21, 2924, 45, 52Go FurtherFind all the Pythagorean triples on your Score Card that are multiples of anothertriple on the card. Curriculum Associates, LLC Copying permitted for classroom use.GRADE 8LESSON 27Page 1 of 3

CENTER ACTIVITYNames:SCORE CARDSLESSON 27Find Pythagorean Triples 0HypotenuseTensOnes0000000 Curriculum Associates, LLC Copying permitted for classroom 242736412824122416482024323648GRADE 0LESSON 27Page 2 of 3

CENTER ACTIVITYNames:LESSON 27Find Pythagorean TriplesGAME BOARDSecond BaseThird BaseFirst BaseHome Plate Curriculum Associates, LLC Copying permitted for classroom use.GRADE 8LESSON 27Page 3 of 3

Identify a pair of corresponding angles, a pair of same-side exterior angles, and a pair of alternate interior angles. What are the measures of the angles in each pair? Explain how you know. Go Further Choose a Figure Card and estimate the measure of one of the numbered angles. Use your estimate to calculate the measure of the other numbered angle.

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