Answer Keys for Calvert Math Lessons CMAK- CONTENTS Math Textbook...7 Math Workbook...7 Math Manual...
Answer Keys Math Textbook Lessons.7 Problem-Solving Strategy: Logical easoning Possible answer: All sides are equal in length. Possible answer: It is smaller than the other shapes. Possible answer: It has no right angles. Possible answer: It has only one pair of parallel lines. Solve b, not a triangle d, has sides c, not used in a game Possible answers include: a, It is a picture of food or it is not a geometric figure; d, It is not three dimensional. b : squares ; squares ; squares 7, feet Constructed esponse A circle does not have straight sides but a polygon does. Mixed eview right angles: a, b acute angles: d obtuse angles: c a, b a quadrilateral (square) b quadrilateral (rectangle) c pentagon d triangle Possible answers: a b c d. Symmetry no no yes yes yes 7 7 Answers will vary. infinite number Mind Builder. Transformations: Slides, lips, and Turns turn slide turn flip slide flip Answers will vary. Answers will vary. 7 turn turn Constructed esponse A flip is a transformation that is a mirror image because the image on each side of the line of symmetry is a mirror image of each other. Test Prep b The patterns that will not form an open-top box are: patterns and because the top and side are open; pattern 7 because the top and bottom are open; and pattern because a box cannot be formed. Answers will vary. Possible answer: A pentomino is comprised of five identical squares in a plane attached to one another edge to edge. Cumulative eview $7., 7,7 7 $7.,7,,, intersecting parallel perpendicular parallel no 7 no yes no (, ) (, ) $.. Perimeter cm ft m 7 mi in cm ft in m cm yd 7 cm cm cm cm cm cm CMAK 7
Math Textbook Answer Key Lessons in cm, cm, cm sides rectangles: cm by cm, cm by cm, cm by cm, cm by cm, cm by cm, cm by 7 cm 7 7 cm, octagon. Area = sq m = sq cm = sq in 7 7 = sq ft Possible answers include: (7 ) + ( ) = sq m or (7 ) + ( ) = sq m Possible answers include: ( ) + ( ) + ( ) = sq cm or ( ) + ( ) + ( ) = sq cm. 7 sq ft area:, sq yd perimeter: yd sq in sq ft, m rectangles:,, Mid-Chapter eview intersecting perpendicular parallel no yes yes. Solid igures and Nets c, e a, e a, d Solid igures aces Edges Vertices Cube ectangular prism Pyramid Triangular prism d a 7 b c. Volume cubic in cubic cm cubic ft cubic m cubic cm cubic cm cubic cm about cubic meters meters,,7 cubic feet. Problem-Solving Strategy: rawing a iagram yes; = sq ft chairs Solve plants stakes yd, perimeter tables square feet, tiles square feet Constructed esponse 7 Can B holds the least amount since it holds less than ml. Can C holds the greatest amount since it holds more than ml. Chapter eview Language and Concepts parallel intersecting polygon quadrilateral angles line symmetry 7 edge cube Skills and intersecting parallel perpendicular parallel obtuse right acute obtuse 7 quadrilateral, rectangle, quadrilateral, square, octagon, pentagon, congruent similar congruent 7 in perimeter: ft area: sq ft cubic cm 7 b d 7 plants Possible answers: a, darker shade than the others; d, three dimensional, cubic ft feet Possible answers include Chapter Test perpendicular intersecting perpendicular parallel 7 yes no yes pyramid cubic in sq cm m in posts 7 b, has sides Cumulative Test b c a a a b 7 b d b c Chapter. epresenting ractions yes; / no yes; / yes; / /7 / 7 / CMAK 7
Math Textbook Answer Key Lessons 7/; seven tenths /; six fourteenths /; five eighths /; one fifteenth Answers will vary. See student s work. Sample answer: circle divided into equal sections with sections colored in; small circles with of the circles colored in Answers will vary. See student s work. Sample answer: circle divided into equal sections with sections colored in; small circles with of the circles colored in 7 Answers will vary. See student s work. Sample answer: circle divided into equal sections with 7 sections colored in; small circles with 7 of the circles colored in / 7/ tomato plants /. raction of a Number More Examples A B C $ 7 adults swimming students diving students. Equivalent ractions / / / / / / /; / /; / /; / /; / /; / /; / 7 ANY TWO O /, /, and / / / Test Prep b. ractions in Simplest orm / / / / / /7 / / / 7 / / / / / /7 / / / / 7 jars / 7/; / Constructed esponse A fraction is in simplest form when the greatest factor that the numerator and denominator share is. No, because if the difference between the numbers is, they will not share any factors greater than, and the fraction will already be in simplest form. Mind Builder MATH IS UN Note: Problem should read, Jill put sprinkles on / of her cupcakes. cupcakes had sprinkles. Extension cupcakes 7 cupcakes cupcakes cupcakes Cumulative eview,, $. 7, 7 7,,, centimeter liter 7 kilogram meter milliliter kilogram faces faces faces 7 faces / / 7 O / 7 baseball cards pencils;. Comparing and Ordering ractions < < > > < = < > > 7 < < > > = < = < > /-inch long nail 7 $ ; Answers will vary. See student s work. A sample answer would include: a picture with circles, square, and triangles.. Mixed Numbers and Improper ractions / = / / = / = / / = / / = / / = / or / ; Check student s model. / or /; Check student s model. 7 / or /; Check student s model. /; Check student s model /; Check student s model. / or /; Check student s model. /; Check student s model. /; Check student s model. / boards Mind Builder / / / / / CMAK 77
Answer Keys Math Workbook Lessons Practice Problem-Solving Strategy: Logical easoning Accept reasonable answers. Shape A is larger than the others. Shape B is not colored. Shape C does not have a solid border. Shape is not a polygon. C; It is not a triangle. B; It is not a circle. 7 C; It is not a rectangle. A; It is the only closed figure. B; It is the only polygon. O ; It is not a closed figure. Practice Symmetry no yes no yes 7 Check student s drawings. Possible answers include: Point A; A; /ABC vertex B. pounds of meat minutes Practice Transformations: Slides, lips, and Turns flip flip slide turn flip or slide turn 7 No, the transformation is a flip. Practice Perimeter m in. in. ft ft km 7 cm ft cm cm cm cm cm cm in., in., and in. ft G; CG; GC; acute E Irregular igures X; XWZ; obtuse ft m G; CG; GC; acute U E; ray Practice E Area W; ZWX; XWZ; obtuse NO; ONM; right 7 square cm square cm square in. square ft TU; ray TU J; JVH; acute square ft Answers will vary. Check student s drawings. N; MNO; ONM; right P V; HVJ; JVH; acute O; OLK; obtuse P; ray P T; TAB; right L; KLO; OLK; obtuse B; BS; right A; BAT; TAB; right CMAK 7 Practice Solid igures and Nets Answers will vary. Check student s responses. Sample answer: baseball, basketball, globe Answers will vary. Check student s responses. Sample answer: tissue box, die, sugar cube Answers will vary. Check student s responses. Sample answer: soda can, jar, cup cube; faces, edges, corners cylinder; faces, edges, corners pyramid; faces, edges, corners 7 cube pyramid rectangular prism 7,,7 $.7, +, + 7, + +, + + + 7, +, +, ft in. m cm Practice 7 Volume cubic cm cubic in., cubic in. cubic ft cubic cm 7 cubic in. 7, cubic ft cubic ft ft cubic ft Exponents 7 7, 7 ; in. ; in. ; cm,,7 gallons 7 Practice Problem-Solving Strategy: rawing a iagram chairs ft Betsy, Shannon, Andrew, Tricia, and Bryan ft Lori painted the greater area, ft. posts 7 ft Yes, because the area of the room is ft and he has ft of tile.,, about, tickets packages eview Chapter eview parallel intersecting parallel perpendicular right; /E acute; / 7 acute; / obtuse; /A quadrilateral cone hexagon triangle
Math Workbook Answer Key Lessons not congruent not congruent congruent faces, edges, and corners 7 faces, edges, and corners flip turn slide ft cm ft in. ft trapezoid Test Chapter Test Prep d d d c a c 7 b b c c Chapter Practice epresenting ractions / / / / 7/ / 7 / 7/ Check student s drawing. Check student s drawing. Check student s drawing. Check student s drawing. /7 / 7 / or / / / / or / =, =, =, =, =, =, =, =, =, =, =, =, =, = Betty and awn / 7 / / / / /7 / / / / / 7 / / / / / /, / /7 / 7/ 7 /7 / /; There were balloons in all and of them were blue, and / in simplest form is /. /; There are children in all and of them are girls, and / in simplest form is /.,,,, 7, 7, raction iddle SOY, WE ON T SEVE BEAK-AST Practice 7 Comparing and Ordering ractions > < > < > = 7 > > = < < > > > > < 7 > > < < > Practice Mixed Numbers and Improper ractions 7/, / /, / 7/, / /, / / 7 / / / / / / / / 7 / /7 / / / 7 / / a c c b Practice raction of a Number 7 $ $ $ 7 7 7, Practice Equivalent ractions /, / /, /, /, / 7 7,, $. pages 7 7 Practice ractions in Simplest orm, ;,,, ; /,, ;,,,,, ; /,,, ;,, 7, ; /7,,, ;,,,,, ; / / CMAK 7
CMAK Answer Keys Lessons Math Manual Lesson C C S C S S Lesson Perimeter:,, ; Area:,, The areas are equal. true Area is measured by the number of squares that cover a region. Perimeter is measured by the outer boundaries. Squares can be positioned in a way that causes more of their outer boundaries to be exposed. The number of squares would remain the same, but the perimeter would change. Lesson Perimeters:, ; Areas:, flat faces:,, ; edges:, ; vertices:,, Lesson cubic cm cubic cm Lesson / / / $7 7 Eleventh eview Lesson false; Some have many; some have none. true false; A reflection is another name for a flip. true true false; this is the formula for finding the area; Perimeter is found by adding together all of the dimensions. 7 true false; area measures the inner region; Perimeter measures the boundaries. Lesson 7 C E W H I J 7 C E W H I J 7 J 7 Skill evelopment x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 7 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x C E W H I J 7
Math Manual Answer Key Lessons Lesson Lesson 7 Lesson 7 girls seventh graders Skill evelopment ; / = / ; / = / ; / = / ; / = / 7 7 Practice e d b c a inged: /; /; /; / Lesson Answers vary. Possible answers: /, /, / /, / /, /, /, /, /, 7/, / e a d c b Lesson Lesson To reduce / to simplest form requires finding the GC: the factors of are,,,,, and the factors of are,,,,,,,,. The GC is. = / / is in simplest form. Eddie is incorrect because he did not divide by the greatest common factor. Maria was right to disagree. Lesson /, /, /, / /, /, /, / /, /, /, / /, /, /, 7/ Lesson Practice A /; / or / B /; or / (not a mixed number) C /; / /; / E /; / or / /; / G /; / H /; / I /; / J /; 7/ / / / 7/ Lesson Skill evelopment < = > = < > /7, /7, /7, /7 /, /, /, / /, /, /, / 7 CMAK