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7th grade Advanced Math Pacing Guide MathMatters 2, National Textbook Company 5/10/2007 1 7th Advanced Math Note: Riverdeep Destination Success Activities and Tests are listed in a separate box beneath each chapter and are linked to the Riverdeep site. Essential Questions for unit: 1. How can data be presented? 2. Why is it important to know how data was collected and analyzed? Chapter 1 – Sample and Display Days Topic, Benchmark 7th Advanced Math Textbook Section Benchmarks Vocabulary, Resources Extensions DW Test Item Numbers # 10 5 Number sense, Study Skills Pre-algebra skills Review / Diagnostic Testing Back of Fractions, Decimals, Percents Textbook 1 Surveys and Sampling Methods 1-1 M.A.E.1.3.1 1 Measures of Central Tendency and Range 1-2 M.A.E.1.3.2 M.A.E.1.3.3 Measures of central tendency, mean, median, mode, range Scatter Plots and Lines of Best Fit 1-3 M.A.4.1.3.1 1-4 M.A.E.1.3.1 1-5 M.A.E.1.3.3 Coefficient of correlation, guess and check 1-6 M.A.E.1.3.1 1-7 M.A.E.1.3.3 Quartile, first, second, third quartiles, interquartile range, box-and-whisker plots, whiskers, outliers, percentile Misleading Data 1 1 1 Post FCAT 1 1 FLEX – mid chapter review/quiz Problem Solving Skills, Coefficient of Correlation Quartiles and Percentiles Misleading Graphs and Statistics Population, sample, random sampling, Cluster sampling, convenience sampling, biased Measures of central tendency, mean, median, mode, range CBL – Get a Grip 33634, 3584, 3734, 3737, 3678, 3732 Frequency table, histogram, stem-andleaf plots, stem, leaf, outliers, clusters, gaps Scatter plot, correlation, positive correlation, negative correlation, line of best fit (trend line) 3590, 3641, 3691 2 2 Graph Project 2 Review and Assessment/FLEX, Data collection and presentation project 26 Days Destination Math Activities: Quartiles and Percentiles Adv 7 Mult of Decimals 7th Adv . Mult of Decimals Adv. 7 Add/Subtract Frac HISTOGRAMS & FREQUENCY TABLE Calculating mean, median, mode Create/Interpret Freq Tables Division of Fractions Scatter Plots 7 Adv Ratio and Percent Adv. 7: Multiplying Frac Tests: Adv 7 Ch 1 Sample and Display 3 7th Advanced Math Essential Question(s) for unit: 3. How can numbers be used to represent information? Note: Beginning with Chapter 2, all tests are cumulative. For example, the test and review of Chapter 5 will include important problems and concepts from chapter 1-4 as well. Chapter 2 – Foundations of Algebra Days Topic, Benchmark 1` Real Numbers Textbook Section 2-1 2 Order of Operations 2-2 1 Write Variable Expressions Add/Subtract Variable Expressions 2-3 7th Advanced Math Benchmarks Vocabulary, Resources M.A.A.1.3.1 Integers, opposites, rational numbers M.A.A.1.3.2 Terminating decimals, repeating M.A.A.1.3.4 decimals, irrational numbers, real numbers, coordinate of a point, graph of a number, absolute value, opposite of the opposite property M.A.A.3.3.2 Numerical expressions, value, simplify, order of operations, variable, variable expressions, evaluate M.A.D.2.3.2 Translate expressions 2-4 M.A.A.3.3.3 Like terms, unlike terms, simplify a variable expression, combining like terms 2-5 M.A.A.3.3.3 Property of the opposite of a sum 2-6 M.A.A.3.3.2 1 1 1 1 FLEX-Review/quiz Multiply/Divide Variable Expressions Simplify Variable Expressions 1 Properties of Exponents 2-7 M.A.A.1.3.2 2 Zero and Negative Exponents 2-8 M.A.A.1.3.2 1 Problem Solving Skills, Find a Pattern Review and Assess (CH. 1 and 2), FCAT, FLEX 2-9 M.A.A.5.3.1 M.A.D.1.3.1 3 Exponential form, base, exponent, product rule, power rule, power of a product rule, quotient rule, power of a quotient rule Zero property of exponents, property of negative exponents, standard form, scientific notation Look for a pattern, sequence, term of a sequence Extensions DW Test Item Numbers 3592, 3642 3598, 3648, 3695 3543, 3545, 3548 3693 15 Days 4 Destination Math Activities: Tests: Integers and Absolute Value WRITE VARIABLE EXPRESSIONS Irrational Numbers Order of Operations Multiplying Polynomials Adding&Subtracting Polynomials COMBINING LIKE TERMS ch2 FOUNDATIONS OF ALGEBRA 5 7th Advanced Math Essential Questions for unit: 3 How is math used in daily life? 7th Advanced Math Chapter 3 Equations and Inequalities Days 1 1 1 2 1 1 2 4 13 Topic, Benchmark Equations and Formulas One Step Equations Textbook Section 3-1 Problem Solving Skills: Model Operations Equations with Two or More Operations Proportions 3-3 3-5 M.A.A.3.3.2 M.A.A.3.3.3 M.A.A.1.3.2 Graph Inequalities on Number Line Solve Inequalities 3-6 M.A.D.2.3.1 3-7 M.A.D.2.3.1 M.A.D.1.3.1 3-4 Vocabulary, Resources M.A.A.1.3.2 Equation, Equation, solution of an equation, solve an equation, formula M.A.A.3.3.2 Addition Addition property of equality, multiplication property of equality M.A.A.3.3.2 Model, Model, Mathematical model, algebraic M.A.A.4.3.1 model Extensions DW Test Item Numbers 3578 3580, 3608, 3628 Two-step equations Proportion, means, extremes, crossproducts Inequality, solutions of an inequality 3558 3629 Solve an inequality, addition property of inequality, multiplication properties of inequality Review/Assessment Ch. 1-3, FCAT Practice/FLEX Days Destination Math Activities: Tests: 3-2 Benchmarks Solving Inequalities Adv 7 Equations & Formulas Solving Proportions Adv.7 One-Step Equations Graphing Inequalitites Ch 3 Equations & Inequalities 6 7th Advanced Math Essential Questions for unit: 4 What does it take to win a game? Chapter 4 Probability Days Topic, Benchmark 1 Experiments and Probabilities 1 Sample Spaces and Theoretical Probabilities 2 Probability of Compound Events 1 Flex-review/quiz 2 Independent and Dependent Events 1 Post Permutations of a Set FCAT 1 Post Combinations of a FCAT Set 3 Review and AssessCH. 1-4 12 Days 7th Advanced Math Vocabulary, Resources Experiments, relative frequency, experimental probability Event, sample space, tree diagram, theoretical probability, fundamental counting principle Compound event, mutually exclusive Textbook Section 4-1 Benchmarks 4-3 M.A.E.2.3.1 4-4 M.A.E.2.3.2 4-5 M.A.E.2.3.2 Independent, dependent 4-6 M.A.E.2.3.1 Permutation, factorial 4-7 M.A.E.2.3.1 combination M.A.E.2.3.1 Extensions DW Test Item Numbers 3539 3739, 3738, 3458, 3588, 3689 Destination Math Activities: EXPERIMENTS AND SAMPLE SPACE MUTUALLY EXCLUSIVE EVENTS SAMPLE SPACE OF EXPERIMENTS INDEPENDANT EVENTS Tests: PROBABILITY AS A PROPORTION 7 7th Advanced Math Essential Questions for unit: 5 How is geometry related to finding our way? Chapter 5 Logic and Geometry Class days Topic Textbook Section Benchmarks 1 Elements of Geometry 5-1 M.A.C.2.3.1 M.A.C.2.3.2 1 Angles and Perpendicular Lines 5-2 M.A.C.2.3.1 M.A.C.2.3.2 2 Parallel Lines and Transversals 5-3 M.A.C.2.3.1 M.A.C.2.3.2 1 Properties of Triangles 5-4 M.A.C.2.3.1 M.A.C.2.3.2 1 1 Review/Quiz Congruent Triangles 5-5 M.A.C.2.3.1 M.A.C.2.3.2 1 Quadrilaterals And Parallelograms 5-6 M.A.C.2.3.1 M.A.C.2.3.2 1 Diagonal and Angles of Polygons 5-7 M.A.C.2.3.1 M.A.C.2.3.2 2 Properties of Circles 5-8 M.A.C.2.3.1 M.A.C.2.3.2 7th Advanced Math Vocabulary, Resources Geometry, point, line, space, collinear and noncollinear points,coplanar, noncoplanar, congruent line segments, midpoint of a segment, bisector of a segment Ray, opposite rays, angle, vertex, degree, complementary and supplementary angles, congruent angles, adjacent angles, perpendicular lines, vertical angles, Bisector of an angle Parallel lines, parallel planes, skew lines, transversal, interior angles, exterior angles, alternate interior/exterior angles, same-side interior angles, corresponding angles Triangles, vertex of a triangle, angle of a triangle, side of a triangle, congruent sides, congruent angles, exterior angle of a triangle Congruent triangles, corresponding sides, corresponding angles of congruent triangles, included side Quadrilateral, trapezoid, parallelogram, rectangle, rhombus, square, opposite angles, consecutive angles, opposite sides, consecutive sides Polygon, side of a polygon, convex polygon, concave polygon, vertex of a polygon, regular polygon, diagonal of a polygon Circle, center, radius(radii), chord, diameter, central angle, circumference, arc, semicircle, minor arc, major arc, inscribed angle Extensions DW Test Item Number 3562, 3654, 3712 3704 3502, 3612, 3613 8 1 3 15 Problem Solving: Circle Graphs Review /Assessment Ch. 1-5 Days Destination Math Activities: Tests: 5-9 M.A.E.1.3.3 Use of a picture, diagram, model, circle graph, sector 3582, 3637 Lines, Angles, & Circles Angles Parallel & Perpendicular Lines 7th Adv ch5 Logic & Geometry 9 7th Advanced Math Chapter 6 Functions and Graphs Days Topic, 3 2 2 1 Post FCAT 3 11 Distance in the Coordinate Plane Slope of A Line Write and Graph Linear Equations Write and Graph Linear Inequalities Direct and Inverse Variation Review and Assessment for Chapter 1-6 Days Destination Math Activities: Tests: Textbook Section 6-1/6-2 6-3 6-4 6-8/6-9 7th Advanced Math Benchmarks Vocabulary, Resources M.A.C.3.3.2 Coordinate plane, quadrant, x-axis, yaxis, ordered pair, origin, slope, rise, run M.A.D.1.3.2 y-intercept, slope-intercept form of a M.A.D.2.3.1 line, point-slope form of a line M.A.D.1.3.2 Open half-plane, closed half-plane, M.A.D.2.3.1 boundary line, graph of a linear M.A.D.2.3.2 inequality, graphic solution of an linear inequality M.A.A.3.3.1 Direct variation, inverse variation, constant of variation Extensions DW Test Item Number 3672, 3721, 3720 CBL - Graphing Your Motion 3383, 3522, 3573, 3625, 3726, 3675 3729 Direct Variation Inequal-Apply InverseOperation Point-Slope Determining Slope Coordinate Plane Inverse Variation X and Y intercepts Solve 2var inequal w/ graphing Inequalities-graphing Inequal w/ 2variables-graphing Slope-Intercept 7th ADV CH6 10 7th Advanced Math Essential Questions for unit: 6 How do we describe changes in figures? Chapter 7 Transformations Days Topic, Benchmark 1 Translations in the Coordinate Plane 1 Reflections in the Coordinate Plane 1 Rotations in the Coordinate Plane 1 Line Symmetry and Rotational Symmetry 1 Review/Quiz 1 Dilations in the Coordinate Plane 1 Problem Solving Skills- Tessellations 4 Review and Assessment CH. 1-7 11 Days 7-2 7th Advanced Math Benchmark Vocabulary, Resources M.A.C.2.3.1 Translation, image, preimage, transformation M.A.C.2.3.1 Reflection, line of reflection 7-3 M.A.C.2.3.1 7-4 M.A.C.2.3.1 7-5 M.A.C.2.3.1 7-6 M.A.C.3.3.1 Textbook Section 7-1 Rotation, center of rotation, angle of rotation Line Symmetry, line of symmetry, rotational symmetry Dilation, enlargement, reduction, scale factor, center of dilation Look for a pattern, tessellation, tiling Extensions DW Test Item Number 3324, 3669 3616, 3719 3566, 3666, 3717 3618, 3668 Destination Math Activities: Tests: Symmetry and Transformations 7th Adv Transformations 11 7th Advanced Math Chapter 8 Relationships in Geometry Days Topic, Textbook Section 1 Parallel and 8-1 Perpendicular Lines 1 Solve Systems of 8-2 Equations Graphically 3 Review and Assessment CH 8 and previous chapters, FCAT Practice, FLEX 5 Days M.A.C.3.3.2 7th Advanced Math Vocabulary, Resources Negative reciprocals M.A.C.3.3.1 M.A.D.2.3.2 System of equations, solution of a system Benchmark Extensions DW Test Item Number Destination Math Activities: GraphSolutions of LinearSystem Parallel & Perpendicular Lines Add/Sub to Eliminate Variable Substitution Tests: Math Adv: Ch 08 Relation w/Geo 12 Essential Questions for unit: 10 How can we use equations to represent information? Chapter 9 Polynomials Days Topic, 1 Add and Subtract Polynomials 1 1 Multiply Monomials Divide by a Monomial Multiply a Polynomial by Monomial Review and Assessment CH 9 and previous chapters, FCAT Practice, FLEX 1 2 6 9-2 9-3 7th Advanced Math Benchmark Vocabulary, Resources M.A.A.3.3.3 Monomial, coefficient, constant, polynomial, term, binomial, trinomial, standard form, like terms M.A.A.3.3.3 M.A.A.3.3.3 9-4 M.A.A.3.3.3 Textbook Section 9-1 Extensions DW Test Item Number Total Days Destination Math Activities: Tests: Multiplying Polynomials Add/Sub Polynomials Combining Like Terms Math Adv: Ch 09 Polynomials 13 7th Advanced Math Essential Questions for unit: 7 In what ways have past and present civilizations used geometry? 10-2 7th Advanced Math Benchmarks Vocabulary, Resources M.A.C.1.3.1 Cylinder, axis, right cylinder, oblique cylinder, right cone, oblique cone, sphere, center of sphere, polyhedron, faces, edges, vertices, prism, bases, pyramid, faces, vertex, base, lateral face, lateral edge M.A.C.3.3.1 Net, surface area 10-3 MA.C.3.3.1 Regular square pyramid, slant height 10-7 M.A.C.3.3.1 volume 10-8 M.A.C.3.3.1 Vital capacity 3713 10-9 M.A.C.3.3.1 Use an equation or formula 3656 Chapter 10 Three-Dimensional Geometry Days Topic, Textbook Benchmark Section 1 Visualize and 10-1 Represent Solids 2 2 2 2 2 2 13 Nets and Surface Area SA of Three Dimensional Figures Volume of Prisms and Pyramids Volume of Cylinders, Cones, and Spheres Problem Solving Skills, Length, Area and Volume Review and Assessment CH 10 and previous chapters, FLEX, FCAT Practice Days Extensions DW Test Item Number Design nets 3552, 3563, 3602, 3708 3426 Destination Math Activities: Tests: Vol & SA Right Cylinder Volume of Right Triangle Prism SurfaceArea Triangle Prisms Math Adv: Ch 10 3D Geometry 14 7th Advanced Math Essential Questions for unit: 8 How are right triangles special Chapter 11 Right Triangle Trigonometry Days Topic, Textbook Benchmark Section 2 Similar Polygons 11-1 2 Indirect Measurement 11-2 2 Pythagorean 11-3 Theorem 4 Review and Assessment CH 11 and previous chapters 10 Total Destination Math Activities: Tests: Benchmarks M.A.C.2.3.1 M.A.C.2.3.1 M.A.B.1.3.1 7th Advanced Math Vocabulary, Resources Similar figures Indirect measurement Hypotenuse, legs of a right triangle, Pythagorean Theorem Extensions DW Test Item Number Pythagorean Theorem Proportions w/ Similar Sides Apply EquivRatio w/ Similarity Defining Similarity Math Adv: Ch 11 RtTriangTrig 15 7th Advanced Math Essential Questions for unit: 9. How can numbers be described? Chapter 12 Logic and Sets Days Topic, 2 Properties of Sets 2 Union and Intersection of Sets Review/Assessment CH 12 and previous chapters Total days 2 6 Textbook Section 12-1 12-2 Benchmarks Vocabulary, Resources Set, element or member of a set, notations, infinite set, finite set, equal sets, subset, empty set, equivalent sets Universal set, complement of a set, union, intersection, disjoint sets Extensions DW Test item #s 16

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