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 / Vocabulary / Extensions / DW Test Item #s1-1 / Collect and Interpret Data
E131 / Data, sample, random sampling, convenience sampling, systematic sampling. cluster sampling / Destination Math:
Meas. Of Central Tendency
Test: Meas. Of Cent. Tend.
1-2 / Measures of Central Tendency and Range
E132 / Mean, median, mode, range, measures of central tendency / 3341
3342
3396
3397
1-3 / Stem-and-Leaf Plots
E131 / Stem-and-leaf plot, leaves, stems, outliers, clusters, gaps
1-4 / Problem Solving Skills: Circle Graphs
E131 / Circle graph, sector, key/legend, problem solving, strategies
Review and Practice Your Skills Mid-Chapter Quiz
1-5 / Frequency Tables and Pictographs
E131 / Frequency table, pictograph
1-6 / Bar Graphs and Line Graphs
E131 / Bar graph, line graph / 3294
3451
1-7 / Scatter Plots and Lines of Best Fit
E131 / Scatter plot, line of best fit/trend line, positive correlation, negative correlation
1-8 / Box-and-Whisker Plots
E131 / Box-and-whisker plot, quartiles
10 / Total Days / Cover through start-ups, FCAT Practice, and/or special projects.
Curriculum and Pacing Guide
Math 1 Advanced
Chapter 2: Measurement
Days / Section / Topic / Vocabulary / Extensions / DW Test Item #s2 / 2-1 / Units of Measure
B231 / Measurement, precision, accurate / Destination Math:
· Ratio and Proportion
· Triangles
Test: Triangles Ch. 2 / 3314
3315
2 / 2-2 / Work with Measurements
B131 / Decimal system / 3304
1 / 2-3 / Perimeters of Polygons
B133 / Perimeter / 3310
3372
2 / 2-4 / Area of Parallelograms and Triangles
B133 / Area / 3311
3313
1 / Review and Practice Your Skills Mid-Chapter Quiz
0 / 2-5 / Problem Solving Skills: Quantity and Cost / Formula
2 / 2-6 / Equivalent Ratios
B134 / Analogy / 3312
1 / Review and Practice Your Skills
3 / 2-7 / Circumference and Area of a Circle
B133 / Circle, center, radius, diameter, circumference / 3305
3431
2 / 2-8 / Proportions and Scale Drawings
A332, B134 / Proportion, cross-products, scale drawing, scale
3 / 2-9 / Areas of Irregular Shapes
C131 / Irregular figure / 3306
3307
3317
3318
3415
2 / Review and Assessment
1 / FCAT Practice
2 / Flex
24 / Total Days
Curriculum and Pacing Guide
Math 1 Advanced
Chapter 3: Real Numbers and Variable Expressions
Days / Section / Topic / Vocabulary / Extensions / DW Test Item #s5 / 3-1 / Add and Subtract Signed Numbers
A131, A132, A134, / Opposites, absolute value, Addition Property of Operation, Identity Property of Opposites / Destination Math:
Chapter 3: Integers +/-
Tests: Reg. Add./Subt. Integers
Mult//Divide Integers
3 / 3-2 / Multiply and Divide Signed Numbers
A131, A132 / Product Rules for Signed Numbers, Quotient Rules for Signed, Numbers
2 / 3-3 / Order of Operations
A332 / Order of operations / 3301
3356
2 / 3-4 / Real Number Properties
A332 / Sets, Natural Numbers, Whole Numbers, Integers, Rational Numbers, Irrational Numbers, Real numbers, closed, Commutative, Associative, and Distributive Properties
1 / Review and Practice Your Skills Mid-Chapter Quiz
2 / 3-5 / Variables and Expressions
D131, D231 / Variable, variable expressions, evaluate, value / 3298
3299
1 / 3-6 / Problem Solving Skills: Find a Pattern
D131 / Pattern / 3328
3 / 3-7 / Exponents and Scientific Notation
A231 / Exponential form, base, exponent, squared, cubed, standard form, scientific notation / 3352
3354
3403
3409
0 / 3-8 / Laws of Exponents / Laws of exponents, Product Rule for Exponents, Quotient Rule for Exponents, Power Rule for Exponents
2 / 3-9 / Squares and Square Roots
A131, A531, A133 / Square, square root, radical symbol, perfect square
2 / Review and Assessment
1 / FCAT Practice
2 / Flex
26 / Total Days
Curriculum and Pacing Guide
Math 1 Advanced
Chapter 4: Two-and-Three Dimensional Geometry
Days / Section / Topic / Vocabulary / Extensions / DW Test Item #s3 / 4-1 / Language of Geometry
C231 / Point, line, collinear points, line segment, ray, angle, vertex, sides of an angle, protractor, degree, plane, coplanar points / Destination Math:
· Vocabulary of Geometry
· Triangles classification
· Volume of Prisms and Cylinder
Test: Chapter 4 / 3308
3318
3 / 4-2 / Polygons and Polyhedra
C131, C231 / Polygon, side, vertex (vertices) regular, congruent, equilateral, equiangular, isosceles, face, edge, scalene, polyhedron (polyhedra) / 3319
3378
2 / 4-3 / Visualize and Name Solids
C131, C231, C331 / Prism, bases, cube, pyramid, cylinder, cone, sphere, net
0 / 4-4 / Problem Solving Skills: Nets / Draw a picture, diagram, or model
0 / Review and Practice Your Skills Mid-Chapter Quiz
1 / 4-5 / Isometric Drawings
C331 / Parallel, perpendicular, isometric drawing
0 / 4-6 / Perspective and Orthogonal Drawings / Perspective drawing, one-point perspective, vanishing point, horizon line, orthogonal drawing (orthogonal projection)
3 / 4-7 / Volume of Prisms and Cylinders
B131, B132 / Volume of a prism, volume of a cylinder / 3320
0 / 4-8 / Volume of Pyramids and Cones / Volume of a pyramid, volume of a cone
3 / 4-9 / Surface Area of Prisms and Cylinders
B232, B331 / Surface area / 3429
2 / Review and Assessment
1 / FCAT Practice
2 / Flex
20 / Total Days
Curriculum and Pacing Guide
Math 1 Advanced
Chapter 5: Equations and Inequalities
Days / Section / Topic / Vocabulary / Extensions / DW Test Item #s2 / 5-1 / Introductions to Equations
D131 / Equations, open sentence, solution of an equation / Destination Math:
· Simple Equations
Test: Simple Equations
3 / 5-2 / Add or Subtract to Solve Equations
D232 / Solve an equation
3 / 5-3 / Multiply or Divide to Solve Equations
D231 / Reciprocals
0 / 5-4 / Solve Two-Step Equations / Two-step equations
1 / Review and Practice Your Skills Mid-Chapter Quiz
3 / 5-5 / Combine Like Terms
D232 / Terms, like terms, unlike terms
2 / 5-6 / Use Formulas to Solve Equations
B131, D232 / Formula / 3387
3388
0 / 5-7 / Problem Solving Skills: Work Backwards / Work backwards
1 / 5-8 / Graph Open Sentences
D231 / Inequality, solution of an open sentence
2 / 5-9 / Solve Inequalities / Inequality rule
2 / Review and Assessment
1 / FCAT Practice
2 / Flex
22 / Total Days
Curriculum and Pacing Guide
Math 1 Advanced
Chapter 6: Equations and Percents
Days / Section / Topic / Vocabulary / Extensions / DW Test Item #s2 / 6-1 / Percents and Proportions
A332 / Percent / Destination Math:
· Percents and Proportions 6-1
· Simple Interest 6-5
· Percent Increase/Decrease 6-7
Test: % of Quantities / 3297
3351
2 / 6-2 / Write Equations for Percents
A131 / Is means equal, of means multiply
2 / 6-3 / Discount and Sale Price
A132 / Discount, sale price / 3303
3357
2 / 6-4 / Tax Rates
A132 / Tax, sales tax, income tax, net pay, property tax / 3358
1 / Review and Practice Your Skills Mid-Chapter Quiz
2 / 6-5 / Simple Interest
A132, A134 / Principal, simple interest, rate, time, amount due
2 / 6-6 / Sales Commission
A332 / Commission rate, commission, graduated commission / 3302
3303
2 / 6-7 / Percent of Increase and Decrease
A332 / Percent of increase, percent of decrease
1 / 6-8 / Problem Solving Skills: Sales and Expenses
A431 / Make a table, chart, or list
2 / Review and Assessment
1 / FCAT Practice
2 / Flex
21 / Total Days
Curriculum and Pacing Guide
Math 1 Advanced
Chapter 7: Functions and Graphs
Days / Section / Topic / Vocabulary / Extensions / DW Test Item #s0 / 7-1 / Problem Solving Skills: Qualitative Graphing / Qualitative graph / Destination Math:
· Y-Intercept Slope
Test: Slope/Intercept Ch 7
2 / 7-2 / The Coordinate Plane
C332 / Coordinate plane, x-axis, y-axis, quadrants, origin, ordered pairs / 3325
3327
3379
3382
2 / 7-3 / Relations and Functions
D131 / Relation, domain, range, function, mapping, vertical line test, function rule / 3467
2 / 7-4 / Linear Graphs
D131 / Linear equation in two variables, intercepts, x-intercept, y-intercept / 3439
2 / 7-5 / Slope of a Line
D132 / Rise, run, slope, positive slope, negative slope, zero slope, undefined
0 / 7-6 / Slope-Intercept Form of a Line / Slope-intercept form of a line, coefficient
3 / 7-7 / Distance and the Pythagorean Theorem *Pythagorean Theorem only
C331 / Hypotenuse, legs, Pythagorean Theorem / 3375
0 / 7-8 / Solutions of Linear and Nonlinear Graphs / Nonlinear function, solutions of an equation, solutions of an inequality
2 / Review and Assessment
1 / FCAT Practice
2 / Flex
16 / Total Days
Curriculum and Pacing Guide
Math 1 Advanced
Chapter 8: Relationships in Geometry
Days / Section / Topic / Vocabulary / Extensions / DW Test Item #s2 / 8-1 / Angles and Transversals
C231 / Complementary angles, supplementary angles, adjacent angles, vertical angles, transversal, corresponding angles, alternate interior angles, alternate exterior angles / Destination Math:
· Angles
Test: Angles, Transversals
0 / 8-2 / Beginning Constructions / Midpoint, perpendicular bisector, angle bisector
1 / 8-3 / Diagonals and Angles of Polygons
C231 / Tangram, diagonal / 3309
0 / 8-4 / Problem Solving Skills: Modeling Problems / Act it out
*1 / 8-5 / Translations in the Coordinate Plane
C231 / Translation, transformation, image, preimage / 3433
*1 / 8-6 / Reflections and Line Symmetry
C231 / Reflection, line symmetry
*1 / 8-7 / Rotations and Tessellations
C231 / Rotation, rotational symmetry, tessellation
2 / Review and Assessment
1 / FCAT Practice
9 / Total Days
*Recognition only
Curriculum and Pacing Guide
Math 1 Advanced
Chapter 9: Polynomials
Days / Section / Topic / Vocabulary / Extensions / DW Test Item #s0 / 9-1 / Introduction to Polynomials / Monomial, coefficient, constant, polynomial, term, binomial, trinomial, standard form, like terms
0 / 9-2 / Add and Subtract Polynomials / Algeblocks, Basic Mat
0 / 9-3 / Multiply Monomials
0 / 9-4 / Multiply a Polynomial by a Monomial
0 / Review and Practice Your Skills Mid-Chapter Quiz
0 / 9-5 / Factor Using Greatest Common Factor (GCF) / Factoring, greatest common factor (GCF), chunking
0 / 9-6 / Divide by a Monomial
0 / 9-7 / Problem Solving Skills: Algeblocks and Area
0 / 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 / Topic / Vocabulary / Extensions / DW Test Item #s1 / 10-1 / Introduction to Probability
E232 / Event, outcomes, equally likely, probability, favorable outcome, odds of an event / Destination Math:
· Simple Probability
Test: Probability Test Ch. 10 / 3343
3400
1 / 10-2 / Experimental Probability
E231, E232 / Experimental probability, simulation / 3345
1 / 10-3 / Sample Spaces and Tree Diagrams
E232 / Sample space, tree diagram
1 / 10-4 / Counting Principle
E232 / Counting principle
1 / Review and Practice Your Skills Mid-Chapter Quiz
2 / 10-5 / Independent and Dependent Events
E231 / Independent events, dependent events
1 / 10-6 / Problem Solving Skills: Make Predictions / Solve a simpler problem
1 / 10-7 / Expected Value and Fair Games
E332 / Expected value, fair game
2 / Review and Assessment
1 / Flex
12 / Total Days
Curriculum and Pacing Guide
Math 1 Advanced
Chapter 11: Reasoning
Days / Section / Topic / Vocabulary / Extensions / DW Test Item #s0 / 11-1 / Optical Illusions / Optical illusion, statement
0 / 11-2 / Inductive Reasoning / Inductive reasoning, conjecture
0 / 11-3 / Deductive Reasoning / Hypothesis, conclusion, if-then statement (conditional statement), deductive reasoning (logical argument) valid argument
1 / 11-4 / Venn Diagrams
E133, E331 / Venn diagram, universal set / 3394
0 / Mid-Chapter Quiz
0 / 11-5 / Use Logical Reasoning / Process of elimination
0 / 11-6 / Problem Solving Skills: Reasonable Answers / Eliminate possibilities
1 / 11-7 / Non-Routine Problem Solving
E133, E332 / Non-routine problems / 3344
2 / Total Days