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Curriculum and Pacing Guide Math 1 Advanced First four weeks of school-20 Days An intensive review of number sense including the following: Basic Facts Addition, Subtraction, Multiplication, Division Fractions Decimals Percents Place Value Extensions: Destination Math: Fractions Intro. +/Test: +/- Fractions Multiply & Divide Fractions Test: Mult./Div. Fractions Intro to Percents Test: Percents Review These concepts should be taught through the use of real world applications with a project that fits the needs of the local school community. A constructivist approach will not only allow students to review these concepts, but will give them a buy in to the process. For example, the use of rulers for fractions, area and perimeter for multiplication, etc., not just drill and practice. Resource materials from the 6th grade regular textbooks may be useful. BENCHMARKS: A131, A132, A133, A134, A331, A332, A333, A431, A531 DATA WAREHOUSE TEST ITEM #’S: 3392, 3292, 3297, 3305 Curriculum and Pacing Guide Math 1 Advanced Chapter 1: Data and Graphs Cover these concepts through daily start-ups, FCAT Practice, and/or special projects. Days Section Topic & Benchmarks Collect and Interpret Data 1-1 1-2 1-3 1-4 1-5 1-6 E131 Measures of Central Tendency and Range E132 Stem-and-Leaf Plots E131 Problem Solving Skills: Circle Graphs E131 Review and Practice Your Skills MidChapter Quiz Frequency Tables and Pictographs E131 Bar Graphs and Line Graphs E131 Vocabulary Data, sample, random sampling, convenience sampling, systematic sampling. cluster sampling Mean, median, mode, range, measures of central tendency Extensions DW Test Item #s Destination Math: Meas. Of Central Tendency Test: Meas. Of Cent. Tend. 3341 3342 3396 3397 Stem-and-leaf plot, leaves, stems, outliers, clusters, gaps Circle graph, sector, key/legend, problem solving, strategies Frequency table, pictograph Bar graph, line graph 3294 3451 1-7 1-8 10 Total Days Scatter Plots and Lines of Best Fit E131 Scatter plot, line of best fit/trend line, positive correlation, negative correlation Box-and-Whisker Plots E131 Box-and-whisker plot, quartiles Cover through start-ups, FCAT Practice, and/or special projects. Curriculum and Pacing Guide Math 1 Advanced Chapter 2: Measurement Days Section 2 2-1 2 2-2 1 2-3 2 2-4 1 0 2-5 2 2-6 1 3 2-7 2 2-8 3 2-9 Topic Vocabulary Extensions Destination Math: Ratio and Proportion Triangles Test: Triangles Ch. 2 DW Test Item #s 3314 3315 Units of Measure B231 Measurement, precision, accurate Work with Measurements B131 Perimeters of Polygons B133 Area of Parallelograms and Triangles B133 Review and Practice Your Skills Mid-Chapter Quiz Problem Solving Skills: Quantity and Cost Equivalent Ratios B134 Review and Practice Your Skills Circumference and Area of a Circle B133 Decimal system 3304 Perimeter 3310 3372 3311 3313 Proportions and Scale Drawings A332, B134 Areas of Irregular Shapes Area Formula Analogy 3312 Circle, center, radius, diameter, circumference 3305 3431 Proportion, cross-products, scale drawing, scale Irregular figure 3306 C131 Review and Assessment FCAT Practice Flex 2 1 2 24 3307 3317 3318 3415 Total Days Curriculum and Pacing Guide Math 1 Advanced Chapter 3: Real Numbers and Variable Expressions Days Section 5 3-1 3 3-2 2 3-3 2 3-4 Topic Vocabulary Add and Subtract Signed Numbers A131, A132, A134, Opposites, absolute value, Addition Property of Operation, Identity Property of Opposites Product Rules for Signed Numbers, Quotient Rules for Signed, Numbers Order of operations Multiply and Divide Signed Numbers A131, A132 Order of Operations A332 Real Number Properties A332 Sets, Natural Numbers, Whole Numbers, Integers, Rational Numbers, Irrational Extensions DW Test Item #s Destination Math: Chapter 3: Integers +/Tests: Reg. Add./Subt. Integers Mult//Divide Integers 3301 3356 Numbers, Real numbers, closed, Commutative, Associative, and Distributive Properties 1 2 3-5 1 3-6 3 3-7 0 3-8 2 3-9 2 1 2 26 Review and Practice Your Skills Mid-Chapter Quiz Variables and Expressions D131, D231 Variable, variable expressions, evaluate, value 3298 3299 Problem Solving Skills: Find a Pattern D131 Exponents and Scientific Notation A231 Pattern 3328 Exponential form, base, exponent, squared, cubed, standard form, scientific notation 3352 3354 3403 3409 Laws of Exponents Laws of exponents, Product Rule for Exponents, Quotient Rule for Exponents, Power Rule for Exponents Square, square root, radical symbol, perfect square Squares and Square Roots A131, A531, A133 Review and Assessment FCAT Practice Flex Total Days Curriculum and Pacing Guide Math 1 Advanced Chapter 4: Two-and-Three Dimensional Geometry Days Section Topic Language of Geometry C231 3 4-1 Polygons and Polyhedra C131, C231 3 4-2 2 4-3 Visualize and Name Solids C131, C231, C331 0 4-4 Problem Solving Skills: Nets 0 Review and Practice Your Skills Vocabulary Point, line, collinear points, line segment, ray, angle, vertex, sides of an angle, protractor, degree, plane, coplanar points Polygon, side, vertex (vertices) regular, congruent, equilateral, equiangular, isosceles, face, edge, scalene, polyhedron (polyhedra) Prism, bases, cube, pyramid, cylinder, cone, sphere, net Draw a picture, diagram, or model Extensions Destination Math: Vocabulary of Geometry Triangles classification Volume of Prisms and Cylinder Test: Chapter 4 DW Test Item #s 3308 3318 3319 3378 Mid-Chapter Quiz Isometric Drawings C331 Perspective and Orthogonal Drawings 1 4-5 0 4-6 3 4-7 Volume of Prisms and Cylinders B131, B132 0 4-8 Volume of Pyramids and Cones 3 4-9 Surface Area of Prisms and Cylinders B232, B331 Review and Assessment 2 1 FCAT Practice Flex 2 20 Total Days Parallel, perpendicular, isometric drawing Perspective drawing, one-point perspective, vanishing point, horizon line, orthogonal drawing (orthogonal projection) Volume of a prism, volume of a cylinder Volume of a pyramid, volume of a cone Surface area 3320 3429 Curriculum and Pacing Guide Math 1 Advanced Chapter 5: Equations and Inequalities Days Section 2 5-1 3 5-2 3 5-3 0 5-4 1 3 5-5 2 5-6 0 5-7 1 5-8 Topic Introductions to Equations D131 Add or Subtract to Solve Equations D232 Multiply or Divide to Solve Equations D231 Solve Two-Step Equations Review and Practice Your Skills Mid-Chapter Quiz Combine Like Terms D232 Use Formulas to Solve Equations B131, D232 Problem Solving Skills: Work Backwards Graph Open Sentences D231 Vocabulary Equations, open sentence, solution of an equation Solve an equation Extensions DW Test Item #s Destination Math: Simple Equations Test: Simple Equations Reciprocals Two-step equations Terms, like terms, unlike terms Formula Work backwards Inequality, solution of an open sentence 3387 3388 2 2 1 2 5-9 22 Total Days Solve Inequalities Review and Assessment FCAT Practice Flex Inequality rule Curriculum and Pacing Guide Math 1 Advanced Chapter 6: Equations and Percents Days Section Topic Vocabulary 2 6-1 Percents and Proportions A332 Percent 2 6-2 Is means equal, of means multiply 2 6-3 2 6-4 Write Equations for Percents A131 Discount and Sale Price A132 Tax Rates A132 Review and Practice Your Skills Mid-Chapter Quiz Simple Interest A132, A134 Sales Commission A332 1 2 6-5 6-6 2 Discount, sale price Tax, sales tax, income tax, net pay, property tax Principal, simple interest, rate, time, amount due Commission rate, commission, graduated commission Extensions Destination Math: Percents and Proportions 6-1 Simple Interest 6-5 Percent Increase/Decrease 6-7 Test: % of Quantities DW Test Item #s 3297 3351 3303 3357 3358 3302 3303 2 Percent of Increase and Decrease A332 Problem Solving Skills: Sales and Expenses A431 Review and Assessment 1 FCAT Practice 2 Flex 2 6-7 1 6-8 21 Percent of increase, percent of decrease Make a table, chart, or list Total Days Curriculum and Pacing Guide Math 1 Advanced Chapter 7: Functions and Graphs Days Section 0 7-1 2 Topic Vocabulary Problem Solving Skills: Qualitative Graphing Qualitative graph The Coordinate Plane C332 Coordinate plane, x-axis, y-axis, quadrants, origin, ordered pairs Relations and Functions D131 Relation, domain, range, function, mapping, vertical line test, function rule Linear equation in two variables, intercepts, xintercept, y-intercept Rise, run, slope, positive slope, negative slope, zero slope, undefined 7-2 2 7-3 2 7-4 Linear Graphs D131 2 7-5 Slope of a Line D132 Extensions DW Test Item #s Destination Math: Y-Intercept Slope Test: Slope/Intercept Ch 7 3325 3327 3379 3382 3467 3439 0 7-6 3 7-7 0 7-8 Slope-Intercept Form of a Line Distance and the Pythagorean Theorem *Pythagorean Theorem only C331 Solutions of Linear and Nonlinear Graphs 2 1 Review and Assessment 2 Flex 16 Slope-intercept form of a line, coefficient Hypotenuse, legs, Pythagorean Theorem 3375 Nonlinear function, solutions of an equation, solutions of an inequality FCAT Practice Total Days Curriculum and Pacing Guide Math 1 Advanced Chapter 8: Relationships in Geometry Days Section Topic Angles and Transversals C231 2 8-1 0 8-2 Beginning Constructions 1 8-3 0 8-4 Diagonals and Angles of Polygons C231 Problem Solving Skills: Modeling Problems Vocabulary Complementary angles, supplementary angles, adjacent angles, vertical angles, transversal, corresponding angles, alternate interior angles, alternate exterior angles Midpoint, perpendicular bisector, angle bisector Tangram, diagonal Act it out Extensions DW Test Item #s Destination Math: Angles Test: Angles, Transversals 3309 *1 8-5 *1 8-6 *1 8-7 2 1 9 Translations in the Coordinate Plane C231 Reflections and Line Symmetry C231 Rotations and Tessellations C231 Review and Assessment Translation, transformation, image, preimage Reflection, line symmetry 3433 Rotation, rotational symmetry, tessellation FCAT Practice Total Days *Recognition only Curriculum and Pacing Guide Math 1 Advanced Chapter 9: Polynomials Days Section Topic Introduction to Polynomials 0 9-1 0 9-2 Add and Subtract Polynomials 0 9-3 Multiply Monomials 0 9-4 0 0 9-5 Multiply a Polynomial by a Monomial Review and Practice Your Skills Mid-Chapter Quiz Factor Using Greatest Common Factor (GCF) Vocabulary Monomial, coefficient, constant, polynomial, term, binomial, trinomial, standard form, like terms Algeblocks, Basic Mat Factoring, greatest common factor (GCF), Extensions DW Test Item #s chunking 0 9-6 0 9-7 Divide by a Monomial 0 Problem Solving Skills: Algeblocks and Area Review and Assessment 0 FCAT Practice Flex 0 Total Days Curriculum and Pacing Guide Math 1 Advanced Chapter 10: Probability Cover through daily start-ups, FCAT Practice, and/or special projects. Days Section 1 10-1 1 10-2 1 10-3 1 10-4 Topic Introduction to Probability E232 Experimental Probability E231, E232 Sample Spaces and Tree Diagrams E232 Counting Principle E232 Vocabulary Event, outcomes, equally likely, probability, favorable outcome, odds of an event Experimental probability, simulation Sample space, tree diagram Counting principle Extensions Destination Math: Simple Probability Test: Probability Test Ch. 10 DW Test Item #s 3343 3400 3345 1 2 10-5 1 10-6 1 10-7 2 1 12 Review and Practice Your Skills Mid-Chapter Quiz Independent and Dependent Events E231 Problem Solving Skills: Make Predictions Expected Value and Fair Games E332 Review and Assessment Independent events, dependent events Solve a simpler problem Expected value, fair game Flex Total Days Curriculum and Pacing Guide Math 1 Advanced Chapter 11: Reasoning Days Section Topic 0 11-1 Optical Illusions Optical illusion, statement 0 11-2 Inductive Reasoning Inductive reasoning, conjecture Hypothesis, conclusion, if-then statement (conditional statement), deductive reasoning (logical argument) valid argument Venn diagram, universal set Deductive Reasoning 0 11-3 1 11-4 0 Venn Diagrams E133, E331 Mid-Chapter Quiz Vocabulary Extensions DW Test Item #s 3394 0 11-5 0 11-6 1 11-7 2 Total Days Use Logical Reasoning Process of elimination Problem Solving Skills: Reasonable Answers Non-Routine Problem Solving E133, E332 Eliminate possibilities Non-routine problems 3344