Eighth Grade Math

Lessons: TOPIC G, TOPIC H, TOPIC IContinual Practice and ReviewLesson Practice: TOPIC G, TOPIC H, TOPIC I• Identify x and y intercepts from a graph.This objective is addressed in Saxon Publishers Algebra 1: An IncrementalDevelopment.SAXON PUBLISHERS Algebra 1/2: An Incremental Development ©2004correlated toSouth Dakota Mathematics StandardsEighth Grade4Indicator 4: Describe and use properties and behaviors of relations, functions, andinverses.(Synthesis)8.A.4.1. Students are able to create rules to explain the relationship between numberswhen achange in the first variable affects the second variable.This objective is addressed in Saxon Publishers Algebra 1: An IncrementalDevelopment.(Analysis)8.A.4.2. Students are able to describe and represent relations using tables, graphs, andrules.• Represent situations with patterns and relations to find exact or approximatesolutions to problems.Understand functions and their patterns and relationshipsIncremental InstructionLessons: 85, TOPIC HContinual Practice and ReviewLesson Practice: 85, TOPIC HMixed Practice: 85, 86, 87, 88, 89, 91, 92, 93, 94, 95, 96, 97, 98, 99, 101, 102,105, 106, 111, 116, 118, 119, 121, 122, 123• Make predictions relating two variables using a rule or a graph.Predict the effect on the graph of a linear equation when there is a change ofslope, coefficient, etc., (e.g., make predictions from graphs, identify the slopein the equation y = mx + b and relate to a graph)Incremental InstructionLesson: TOPIC IContinual Practice and ReviewLesson Practice: TOPIC ISAXON PUBLISHERS Algebra 1/2: An Incremental Development ©2004correlated toSouth Dakota Mathematics StandardsEighth Grade5Eighth Grade Geometry

Indicator 1: Use deductive and inductive reasoning to recognize and applyproperties ofgeometric figures.(Application)8.G.1.1. Students are able to describe and classify prisms, pyramids, cylinders, and cone.• Faces, edges, and vertices.This objective is addressed in Saxon Publishers Math 8/7: An IncrementalDevelopment.• Nets.This objective is addressed in Saxon Publishers Math 8/7: An IncrementalDevelopment.(Application)8.G.1.2. Students, when given any two sides of an illustrated right triangle, are able to usethePythagorean Theorem to find the third side.• Given the formula.Use the Pythagorean theoremIncremental InstructionLesson: 117Continual Practice and ReviewLesson Practice: 117Mixed Practice: 117, 118, 119, 120, 121, 123• using whole numbers for the known values.Use the Pythagorean theoremIncremental InstructionLesson: 117Continual Practice and ReviewLesson Practice: 117Mixed Practice: 117, 118, 119, 120, 121, 123SAXON PUBLISHERS Algebra 1/2: An Incremental Development ©2004correlated toSouth Dakota Mathematics StandardsEighth Grade6Indicator 2: Use properties of geometric figures to solve problems from a variety ofperspectives.(Application)8.G.2.1. Students are able to write and solve proportions that express the relationshipsbetweencorresponding parts of similar quadrilaterals and triangles.Use similarity to find measurementsIncremental InstructionLesson: 65Continual Practice and ReviewLesson Practice: 65Mixed Practice: 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 79, 83, 88, 91, 97, 100,

81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 96, 97, 98, 99,100, 101, 105, 106, 107, 108, 109, 111, 112, 113, 115, 116,118, 119, 120, 121, 122, 123SAXON PUBLISHERS Algebra 1/2: An Incremental Development ©2004correlated toSouth Dakota Mathematics StandardsEighth Grade8• Apply strategies and/or formulas.Develop and use formulas to find surface areas of three-dimensional regionsIncremental InstructionLessons: 49, 73, 88, 120Continual Practice and ReviewLesson Practice: 49, 73, 88, 120Mixed Practice: 49, 50, 51, 52, 53, 54, 57, 59, 61, 65, 73, 74, 75, 77, 78, 80, 81,83, 84, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 100, 103, 104,105, 106,107, 108, 110, 112, 113, 115, 118, 120, 121Develop and use formulas to find volumes of three-dimensional regionsIncremental InstructionLessons: 45, 73, 120Continual Practice and ReviewLesson Practice: 45, 73, 120Mixed Practice: 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 78, 80,81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 96, 97, 98, 99,100, 101, 105, 106, 107, 108, 109, 111, 112, 113, 115, 116,118, 119, 120, 121, 122, 123Use concrete and graphic models to find volumes of three-dimensionalregionsIncremental InstructionLessons: 45, 73, 120Continual Practice and ReviewLesson Practice: 45, 73, 120Mixed Practice: 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,62, 63, 64, 65, 66, 67, 68,69, 70, 71, 72, 73, 74, 75, 76, 78, 80,81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 96, 97, 98, 99,100, 101, 105, 106, 107, 108, 109, 111, 112, 113, 115, 116,118, 119, 120, 121, 122, 123SAXON PUBLISHERS Algebra 1/2: An Incremental Development ©2004correlated toSouth Dakota Mathematics StandardsEighth Grade9Develop and use formulas to find areas of two-dimensional regionsIncremental InstructionLessons: 17, 25, 27, 45, 60, 64, 116

Incremental InstructionLessons: 45, 73, 120Continual Practice and ReviewLesson Practice: 45, 73, 120Mixed Practice: 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 78, 80,81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 96, 97, 98, 99,100, 101, 105, 106, 107, 108, 109, 111, 112, 113, 115, 116,118, 119, 120, 121, 122, 123• Surface area of rectangular prisms and cylinders.Develop and use formulas to find surface areas of three-dimensional regionsIncremental InstructionLessons: 49, 73, 88, 120Continual Practice and ReviewLesson Practice: 49, 73, 88, 120Mixed Practice: 49, 50, 51, 52, 53, 54, 57, 59, 61, 65, 73, 74, 75, 77, 78, 80, 81,83, 84, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 100, 103, 104,105, 106, 107, 108, 110, 112, 113, 115, 118, 120, 121SAXON PUBLISHERS Algebra 1/2: An Incremental Development ©2004correlated toSouth Dakota Mathematics StandardsEighth Grade11Use concrete and graphic models to find surface areas of three-dimensionalregionsIncremental InstructionLessons: 49, 73, 88, 120Continual Practice and ReviewLesson Practice: 49, 73, 88, 120Mixed Practice: 49, 50, 51, 52, 53, 54, 57, 59, 61, 65, 73, 74, 75, 77, 78, 80, 81,83, 84, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 100, 103, 104,105, 106, 107, 108, 110, 112, 113, 115, 118, 120, 121• Area of composite shapes.Use concrete and graphic models to find areas of two-dimensional regionsIncremental InstructionLessons: 17, 25, 27, 45, 60, 64, 116Continual Practice and ReviewLesson Practice: 17, 25, 27, 45, 60, 64, 116Mixed Practice: 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33,34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 49, 50, 60, 62, 64, 65,66, 67, 68, 70, 71, 72, 73, 74, 75, 76, 78, 79, 80, 81, 83, 84, 88,89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 100, 102, 103, 104, 105,106, 107, 108, 109, 110, 112, 113, 116, 117, 118, 119, 120,121, 122, 123Eighth Grade Number SenseIndicator 1: Analyze the structural characteristics of the real number system and its

various subsystems. Analyze the concept of value, magnitude, and relativemagnitude ofreal numbers.(Comprehension)8.N.1.1. Students are able to represent numbers in a variety of forms and identify thesubsetsof rational numbers.• ExponentsWrite rational numbers in expanded form using exponentsIncremental InstructionLesson: 101(continued on next page)SAXON PUBLISHERS Algebra 1/2: An Incremental Development ©2004correlated toSouth Dakota Mathematics StandardsEighth Grade12(continued from previous page)Continual Practice and ReviewLesson Practice: 101• Scientific notationRepresent numbers using scientific notationIncremental InstructionLessons: 50, 76Continual Practice and ReviewLesson Practice: 50, 76Mixed Practice: 50, 51, 52, 53, 54, 55, 56, 57, 59, 60, 61, 62, 63, 64, 65, 66, 67,69, 72, 73, 74, 75, 76, 77, 82, 83, 86, 87, 88, 96• Absolute valueIdentify absolute value of whole numbersIncremental InstructionLesson: 69Continual Practice and ReviewLesson Practice: 69• Radicals (perfect squares)This objective is addressed in Saxon Publishers Algebra 1: An IncrementalDevelopment.• Graph on a number lineCompare, order, and understand different rational numbers with andwithout number linesIncremental InstructionLessons: 2, 8, 123Continual Practice and ReviewLesson Practice: 2, 8, 123Mixed Practice: 2, 3, 5, 8, 9, 10, 13, 15, 20SAXON PUBLISHERS Algebra 1/2: An Incremental Development ©2004

correlated toSouth Dakota Mathematics StandardsEighth Grade13• Explain the effects of operations on the magnitude of rational numbers.This objective falls outside the scope of Saxon Publishers Algebra 1/2: AnIncremental Development.• Multiplication and division of an inequality by a negative number.This objective falls outside the scope of Saxon Publishers Algebra 1/2: AnIncremental Development.Indicator 2: Apply number operations with real numbers and other numbersystems.(Application)8.N.2.1. Students are able to read, write, and compute within any subset of rationalnumbers.• Solve problems involving discount, markup, commission, profit, and simpleinterest.Solve problems by computing simple and compound interestIncremental InstructionLesson: 109Continual Practice and ReviewLesson Practice: 109Mixed Practice: 109, 111, 113, 114, 117, 120SAXON PUBLISHERS Algebra 1/2: An Incremental Development ©2004correlated toSouth Dakota Mathematics StandardsEighth Grade14Indicator 3: Develop conjectures, predictions, or estimations to solve problems andverifyor justify the results.(Application)8.N.3.1. Students are able to use various strategies to solve multi-step problems involvingrational numbers.• Explain strategies and justify answers.Explain and use various algorithmsIncremental InstructionLessons: 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22,23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40,41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58,59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76,77, 78, 79, 80, 81, 82, 83, 84, 85, 88, 91, 92, 93, 94, 95, 96, 97,98, 99, 100, 101, 102, 105, 106, 108, 109, 110, 111, 112, 114,116, 117, 118, 119, 120, 121, 122Continual Practice and ReviewLesson Practice: 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22,

23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40,41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58,59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76,77, 78, 79, 80, 81, 82, 83, 84, 85, 88, 91, 92, 93, 94, 95, 96, 97,98, 99, 100, 101, 102, 105, 106, 108, 109, 110, 111, 112, 114,116, 117, 118, 119, 120, 121, 122Mixed Practice: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37,38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54,55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71,72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88,89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103,104, 105, 106,107, 108, 109, 110, 111, 112, 113, 114, 115, 116,117, 118, 119, 120, 121, 122, 123• Formulate rules to solve practical problems involving rational numbers.This objective falls outside the scope of Saxon Publishers Algebra 1/2: AnIncremental Development.SAXON PUBLISHERS Algebra 1/2: An Incremental Development ©2004correlated toSouth Dakota Mathematics StandardsEighth Grade15• Use estimation strategies to make predictions and test the reasonableness of theanswer.Use estimation to solve real-world problemsIncremental InstructionLesson: 7Continual Practice and ReviewLesson Practice: 7Evaluate solutions for reasonablenessIncremental InstructionLesson: 7Continual Practice and ReviewLesson Practice: 7• Formulate counter-examples to disclaim given assertions.This objective falls outside the scope of Saxon Publishers Algebra 1/2: AnIncremental Development.Eighth Grade Statistics & ProbabilityIndicator 1: Use statistical models to gather, analyze, and display data to drawconclusions.(Comprehension)8.S.1.1. Students are able to find the mean, median, mode, and range of a data set from astem-and-leaf plot and a line plot.Determine and understand the mean of a set of dataIncremental InstructionLessons: 21, 26, 41

Continual Practice and ReviewLesson Practice: 21, 26, 41Mixed Practice: 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 34, 35, 38, 39, 40, 41, 42,43, 44, 46, 47, 48, 49, 50, 51, 52, 55, 57, 58, 60, 123SAXON PUBLISHERS Algebra 1/2: An Incremental Development ©2004correlated toSouth Dakota Mathematics StandardsEighth Grade16Determine and understand the median of a set of dataIncremental InstructionLesson: 26Continual Practice and ReviewLesson Practice: 26Mixed Practice: 32, 34, 38, 39, 52Determine and understand the mode of a set of dataIncremental InstructionLesson: 26Continual Practice and ReviewLesson Practice: 26Mixed Practice: 32, 34, 38, 39, 52Determine and understand the range of a set of dataIncremental InstructionLesson: 26Continual Practice and ReviewLesson Practice: 26Mixed Practice: 32, 34, 38, 39, 52(Application)8.S.1.2. Students are able to use a variety of visual representations to display data tomakecomparisons and predictions.• Double bar graphRead and interpret bar graphs to organize and represent dataIncremental InstructionLessons: 29, TOPIC BContinual Practice and ReviewLesson Practice: 29, TOPIC BMixed Practice: 30, 31, 35, 41, 42, 56SAXON PUBLISHERS Algebra 1/2: An Incremental Development ©2004correlated toSouth Dakota Mathematics StandardsEighth Grade17• Double line graphRead and interpret line graphs to organize and represent dataIncremental Instruction

Lesson: 29Continual Practice and ReviewLesson Practice: 29Mixed Practice: 34, 37, 44, 51• ScatterplotThis objective falls outside the scope of Saxon Publishers Algebra 1/2: AnIncremental Development.Indicator 2: Apply the concepts of probability to predict events/outcomes and solveproblems.(Comprehension)8.S.2.1. Students are able to find the sample space and compute probability for twosimultaneous independent events.• Express probability as a ratio, decimal, or percent.Represent probabilities as ratiosIncremental InstructionLessons: 112, 114Continual Practice and ReviewLesson Practice: 112, 114Mixed Practice: 113, 114, 115, 117, 119, 120, 122, 123