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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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