Curriculum and Pacing Guide
Math 2R 1205040D
(7th Grade Regular Math)
Mathematics: Applications and Concepts, Course 2
Revised May 10, 2007
Note: Riverdeep Activities are in blue text and listed in a box at the end of each unit.
Essential Questions for this unit:
1. What is the relationship between decimal place value and powers of 10?
2. How can powers of 10 be applied to conversion in the metric system and scientific notation?
Math 2R 1205040DUnit Name: Decimal Number Sense
Block days
or
class days / Textbook Section / Topic, Benchmark / Vocabulary,
Resources / Extensions / DW Test item #’s
5 / Prerequisite
Skills
Pages 555-561 / Place Value and Decimals, Comparing and ordering Decimals, rounding Decimals, Powers of Ten / Place Value, Decimals, Rounding, Exponents, Scientific Notation / Make a chart of PV System that shows multiples of ten and powers of ten for each PV
1 / 1-2 / Powers and Exponents
MA.A.1.3.1-1, MA.A.1.3.1-2, MA.A.1.3.2-1,
MA.A.1.3.4-4, MA.A.2.3.1-1, MA.A.2.3.1-2 / Factors, exponent, base, powers, squared, cubed,
evaluate, standard form, exponential form / Show expanded form for multiples of ten and powers of ten for each PV
1 / 1-3 / Order of Operations
MA.A.2.3.1-2, MA.A.3.3.2-1, MA.A.3.3.2-2,
MA.A.3.3.2-4, MA.A.3.3.3-1 / Numerical expression, order of operations
1 / 1-8 / Measurement: The Metric System
MA.B.2.3.2-1, MA.B.2.3.2-2, MA.B.2.3.2-3,
MA.B.2.3.2-4 / Meter, metric system, gram, kilogram, liter / Metric Conversion Diagram
1 / 1-9 / Scientific Notation
MA.A.1.3.1-1, MA.A.1.3.2-1, MA.A.1.3.4-2,
MA.A.1.3.4-3, MA.A.1.3.4-4, MA.A.2.3.1-3,
MA.A.2.3.1-4 / Scientific notation
2 / Review and Assessment
1 / Flex Day
12 / Total Days
Destination Math
Activities:
Powers of Ten
Scientific Notation
Decimals - Rounding
Decimals - compare,order
Order of Operations
Powers of Ten Dividing
Tests:
Rounding Decimals
Ch1 Test
Place Value and Decimals
Essential Questions for this unit:
1. What kind of information can you identify from a chart or graph that is not obvious in an unorganized list of data?
2. Compare and contrast mean, median and mode.
Math 2R 1205040DUnit Name: Analyzing Data and Statistics
Block days
or
class days / Textbook Section / Topic, Benchmark / Vocabulary,
Resources / Extensions / DW Test item #’s
1 / 2-4 / Mean, Median, and Mode
MA.E.1.3.2-1, MA.E.1.3.2-2, MA.E.1.3.3-1 / Measures of central tendency, mean, mode,
Median
4 / 2-1
2-2
2-3
2-5
2-6
2-7 / Using Frequency Tables, Line Plots, Stem-and leaf Plots, Box-and-Whisker Plots, Bargraphs, and Histograms to caluculate mean, median and mode.
MA.E.1.3.1-1, MA.E.1.3.1-2,MA.E.1.3.1-3.
MA.E.1.3.2-1, MA.E.1.3.2-2, MA.E.1.3.3-1
MA.E.1.3.3-1 MA.E.1.3.1-1, MA.E.1.3.1-2,
MA.E.1.3.2-2 MA.E.1.3.1-2, MA.E.1.3.1-3,
MA.E.3.3.2-1, MA.E.3.3.2-2 / Statistics, data, frequency table, scale, interval
Line graph, scatter plot
Line plot, cluster, outlier, range
Measures of central tendency, mean, mode,
Median, Stem-and-leaf plot, leaf, stem
Lower quartile, upper quartile, box-and-whisker
plot, lower extreme, upper extreme, interquartile
range
Bar graph, histogram / Reading Connection
LA.B.1.3.1 Organize information
1 / 2-8 / Misleading Statistics
MA.E.1.3.1-1, MA.E.1.3.1-2,
MA.E.1.3.1-3, MA.E.1.3.2-1,
MA.E.1.3.2-2, MA.E.1.3.3-1,
MA.E.3.3.2-1, MA.E.3.3.2-2 / Reading Connection
LA.B.1.3.1 Use background information to make predictions
2 / Review and Assessment
2 / Flex Days
10 / Total Days
Destination Math
Activities:
Mean and the Median
Defining the Mode
HISTOGRAMS
Create/Interpret Freq Tables
BAR GRAPHS
Calculating mean, median, mode
Tests:
ch2 Analyzing Data
Essential Questions for this unit:
1. Describe a situation in everyday life where variables and negative numbers are used.
2. Explain how the rules for adding, subtracting, multiplying and dividing integers are different.
Math 2R 1205040DUnit Name: Integers and Algebra
Block days
or
class days / Textbook Section / Topic, Benchmark / Vocabulary,
Resources / Extensions / DW Test item #’s
1 / 1-4 / Algebra: Variables and Expressions
MA.A.3.3.2-4, MA.D.1.3.1-1, MA.D.1.3.1-2,
MA.D.1.3.1-3, MA.D.1.3.1-4, MA.D.1.3.2-1,
MA.A.1.3.2-2, MA.D.2.3.1-3
MA.A.3.3.2-4, MA.D.2.3.2-2 / Variable, algebraic expression, algebra, term,
coefficient, constant / Reading Connection:
LA.A.2.3.1. Main Idea
Make a chart to show phrases from context that indicate each operation
1 / 1-5 / Algebra: Equations
MA.A.3.3.3-1, MA.D.1.3.2-2, MA.D.2.3.1-3,
MA.D.2.3.1-3, MA.D.2.3.1-4 / Equation, solution, solving an equation, defining the
variable
1 / 1-6 / Algebra: Properties
MA.A.1.3.4-3, MA.A.1.3.4-4, MA.A.3.3.1-3, / Equivalent expressions, properties
1 / 1-7 / Sequences
MA.A.5.3.1-4, MA.D.1.3.1-3, MA.D.1.3.1-4 / Sequence, term, arithmetic sequence, geometric
sequence
2 / 3-1
3-2
3-3 / Integers and Absolute Value
MA.A.1.3.1-1, MA.A.1.3.2-1, MA.A.1.3.4-2,
MA.A.1.3.4-3, MA.D.2.3.1-1
Comparing and Ordering Integers
MA.A.1.3.2-1, MA.D.1.3.2-1 2
The Coordinate Plane
MA.C.3.3.2-1, MA.C.3.3.2-2 / Integer, graph, positive integer, negative
integer, absolute value
Coordinate plane, coordinate grid, x-axis, y-axis,
origin, ordered pair, x-coordinate, y-coordinate, quadrant
1 / 3-4 / Adding Integers
MA.A.1.3.3-3, MA.A.3.3.1-1, MA.A.3.3.1-2,
MA.A.3.3.1-3, MA.A.3.3.1-4, MA.A.3.3.2-1 / Opposites / Use a number line to show moving in same direction for same signs and opposite directions for unlike signs
1 / 3-5 / Subtracting Integers
MA.A.1.3.3-3, MA.A.3.3.1-1, MA.A.3.3.1-2,
MA.A.3.3.1-4, MA.A.3.3.2-1 / additive inverse
1 / 3-6 / Multiplying Integers
MA.A.2.3.1-2, MA.A.3.3.1-1, MA.A.3.3.1-2,
MA.A.3.3.1-4, MA.A.3.3.2-1
1 / 3-7 / Dividing Integers
MA.A.2.3.1-2, MA.A.3.3.1-1, MA.A.3.3.1-2,
MA.A.3.3.1-4, MA.A.3.3.2-1, MA.A.3.3.3-1
2 / Review and Assessment
2 / Flex Days
14 / Total Days
Destination Math
Activities:
Comparing & Ordering Integers
Properties
Dividing Integers
Integers & Absolute Value
Coordinate Plane
Subtracting Integers
Adding Integers
Algebra Equations
Multiplying Integers
Algebra Terms & Expressions
ASSIGN
Tests:
Ch 1& 3 Integers
Essential Questions for this unit:
1. Write a verbal sentence that translates into an equation.
2. Define function and give an example
Math 2R 1205040DUnit Name: Algebra, Linear Equations and Functions
Block days
or
class days / Textbook Section / Topic, Benchmark / Vocabulary,
Resources / Extensions / DW Test item #’s
1 / 4-1 / Writing Expressions and Equations MA.D.1.3.2-2, MA.D.2.3.1-1 / Inverse operation / Reading: Refer to the chart for phrases that indicate operations
1 / 4-2 / Solving Addition and Subtraction
Equations
MA.A.3.3.1-3, MA.D.2.3.1-1, MA.D.2.3.1-4,
MA.D.2.3.2-
1 / 4-3 / Solving Multiplication Equations
MA.A.3.3.1-3, MA.D.2.3.1-1, MA.D.2.3.1-4,
MA.D.2.3.2-1
1 / 4-4 / Solving Two-Step Equations
MA.A.3.3.1-3, MA.D.2.3.1-1, MA.D.2.3.1-4,
MA.D.2.3.2-1 / Two-step equation
1 / 4-5 / Inequalities
MA.D.2.3.1-5, MA.D.2.3.2-1 Inequality
1 / 4-6 / Functions and Linear Equations
MA.D.1.3.1-1, MA.D.1.3.1-2, MA.D.1.3.2-1,
MA.D.1.3.2-2, MA.D.1.3.2-3, MA.D.2.3.1-6 / Function, function table, domain, range,
linear equation / Reading Connection:
LA.E.2.2. Cause-Effect Relationship
2 / Review and Assessment
2 / Flex Days
10 / Total Days
Destination Math
Activities:
Substitute values for Variables
Isolating Variables
Introducing one step equations
Tests:
Math Reg: Ch 04 Alg/Linear Equ
Essential Questions for this unit:
1. Write a fraction that is not in simplest form, then simplify it, change it into a decimal, finally change it into a percent.
2. Identify the GCF and LCM of two numbers.
Math 2R 1205040DUnit Name: Fractions, Decimals & Percents
Block days
or
class days / Textbook Section / Topic, Benchmark / Vocabulary,
Resources / Extensions / DW Test item #’s
1 / Prerequisite Skills / Divisibility Rules
Page 554
1 / 5-1 / Prime Factorization
MA.A.5.3.1-1, MA.A.5.3.1-4, MA.A.5.3.1-5
1 / 5-2 / Greatest Common Factor
MA.A.5.3.1-2, MA.A.5.3.1-3, MA.A.5.3.1-5 / Venn diagram, greatest common factor
(GCF)
1 / 5-3 / Simplifying Fractions
MA.A.1.3.3-2, MA.A.1.3.3-3,
MA.A.1.3.4-2, MA.A.3.3.1-1 / Equivalent fractions, simplest form
1 / 5-4 / Fractions and Decimals
MA.A.1.3.1-1, MA.A.1.3.4-1,
MA.A.1.3.4-2, MA.A.1.3.4-3,
MA.A.1.3.4-4 / Terminating decimals, repeating
decimals, bar notation
1 / 5-5 / Fractions and Percents
MA.A.1.3.1-1, MA.A.1.3.3-3,
MA.A.1.3.4-1, MA.A.1.3.4-2
MA.A.1.3.4-4 / Ratio, percent
1 / 5-6 / Percents and Decimals
MA.A.1.3.1-1, MA.A.1.3.4-1,
MA.A.1.3.4-2, MA.A.1.3.4-3,
MA.A.1.3.4-4
1 / 5-7 / Least Common Multiple
MA.A.5.3.1-2, MA.A.5.3.1-3,
MA.A.5.3.1-4, MA.A.5.3.1-5 / Multiple, least common multiple (LCM)
1 / 5-8 / Comparing and Ordering Rational Numbers
MA.A.1.3.2-1, MA.A.1.3.3-1,
MA.A.1.3.3-2, MA.A.1.3.3-3,
MA.A.1.3.4-1, MA.A.1.3.4-2,
MA.A.1.3.4-3, MA.A.1.3.4-4 / Common denominator, least common
denominator (LCD), rational numbers
2 / Review and Assessment
2 / Flex Days
13 / Total Days
Destination Math
Activities:
EQUIVALENT FRACTIONS
PROPER FRACTIONS
GREATEST COMMON FACTOR
Compare/Order Frac/Dec/Percent
IMPROPER FRACTIONS
FRAC TO DEC TO PERCENTS
Tests:
ch5 Frac/Dec/Percents
Essential Questions for this unit:
1. Give the different procedures involved in adding, subtracting, multiplying and dividing fractions.
2. Explain why perimeter is given in units and area is given in square units.
Math 2R 1205040DUnit Name: Decimal Number Sense
Block days
or
class days / Textbook Section / Topic, Benchmark / Vocabulary,
Resources / Extensions / DW Test item #’s
2 / 6-1
6-2
6-3 / Estimating with Fractions
MA.A.1.3.2, MA.A.1.3.3, MA.A.4.3.1
Adding and Subtracting Fractions
MA.A.3.3.1, MA.A.3.3.2, MA.A.3.3.3,
MA.A.4.3.1, MA.D.2.3.1
Adding and Subtracting Mixed
Numbers
MA.A.3.3.1, MA.A.3.3.2, MA.A.3.3.3,
MA.A.4.3.1 / Compatible numbers
2 / 6-4
6-5
6-6 / Multiplying Fractions and Mixed
Numbers
MA.A.3.3.1, MA.A.3.3.2, MA.A.4.3.1
Algebra: Solving Equations
MA.A.3.3.1, MA.A.3.3.2
Dividing Fractions and Mixed
Numbers
MA.A.3.3.1, MA.A.3.3.2, MA.A.4.3.1 / Multiplicative inverse, reciprocal
1 / 6-7 / Measurement: Changing Customary Units
MA.A.3.3.2, MA.A.3.3.3, MA.B.2.3.1,
MA.B.2.3.2 / Pound, ounce, ton, cup, pint, quart, gallon
1 / 6-8 / Geometry: Perimeter and Area
MA.A.3.3.2, MA.B.1.3.1, MA.B.1.3.3,
MA.B.2.3.2 / Perimeter, formula, area
1 / 6-9 / Geometry: Circles and Circumference
MA.B.1.3.1-3, MA.B.1.3.3-3, MA.C.1.3.1-6 / Circle, center, diameter, radius, circumference
2 / Review and Assessment
2 / Flex Days
13 / Total Days
Destination Math
Activities:
SUB FRAC W/ UNLIKE DENOMINATOR
ADD FRAC W/ UNLIKE DENOMINATOR
ADD FRAC WITH SAME DENOMINATOR
ESTIMATING QUOTIENTS
AREA OF RECTANGLE
MULTIPLYING FRAC AND MIXED #S
AREA OF TRIANGLE
SUB FRAC W/ LIKE DENOMINATORS
Tests:
Decimal # Sense ch. 6
Essential Questions for this unit:
1. How can proportionality be applied to solving problems in varied contexts?
2. How can using the percent proportion simplify solving percent problems?
Math 2R 1205040DUnit Name: Ratios and Proportions
Block days
or
class days / Textbook Section / Topic, Benchmark / Vocabulary,
Resources / Extensions / DW Test item #’s
3 / 7-1
7-2
7-3 / Ratios, Rates
MA.A.1.3.1-1, MA.A.1.3.4-2
Solve Proportions
MA.A.3.3.2-5, MA.B.2.3.1-3 / Equivalent ratios
Rate, unit rate
Proportion, cross product / Make tables showing the extension of proportional relationships
2 / 7-5
10-6 / Scale Drawings
MA.B.1.3.4-1, MA.B.1.3.4-2, MA.B.1.3.4-3
Similar Figures
MA.A.3.3.2-5, MA.B.2.3.1-3 / Scale drawing, scale factor, scale model
Similar figures, indirect measurement / Set up lab stations with different types of proportion problems
2 / 7-8 / Percent Proportion
MA.A.3.3.2-3 / Percent proportion, part, base / Reading LA.A.1.3.2 Use context and word clues
1 / Flex Day
8 / Total Days
Destination Math
Activities:
DEFINING A PROPORTION
RATIOS
RATIOS AS FRAC AND DECIMALS
PERCENT PROPORTION
SIMILAR FIGURES
sOLVING A PROPORTION
Tests:
cH. 7 RATIO/PROPORTION
Essential Questions for this unit:
1. How will the ability to estimate percents be useful?
2. Apply a discount and sales tax to the purchase of an item.
Math 2R 1205040Unit Name: Percent Applications
Block days
or
class days / Textbook Section / Topic, Benchmark / Vocabulary,
Resources / Extensions / DW Test item #’s
1 / 8-1
7-6 / Percent Estimation
MA.A.4.3.1
% > 100% and % < 1%
MA.A.1.3.4 / Estimate / Use fractions of a dollar to estimate %
1 / 8-4 / Percent of Change
MA.B.1.3.3 / Percent of change
Percent of increase
Percent of decrease
1 / 8-5 / Sales Tax and Discount
MA.A.3.3.2 / Sales tax, discount
1 / 8-6 / Simple Interest
MA.A.3.3.2 / Simple interest
Principal
2 / Review & Assessment
1 / Semester Exam
7 / Total Days
Destination Math
Activities:
PECENT OF DECREASE
PERCENTS GREATER THAN 100%
PERCENT OF INCREASE
SIMPLE INTEREST
Tests:
ch8/7-6 PERCENT APPLICATIONS
Essential Questions for this unit:
1. How does theoretical probability differ from experimental probability?
2. How does probability of a dependent event differ from an independent event?
3. Why is it possible to use proportions to make predictions based on probability?
Math 2R 1205040DUnit Name: Probability as a Proportion
Block days
or
class days / Textbook Section / Topic, Benchmark / Vocabulary,
Resources / Extensions / DW Test item #’s
1 / 9-1 / Probability of Simple Events
MA.E.2.3.1, , MA.E.3.3.2 / probability, outcome, simple event, randomly chosen,
1 / 9-2
9-3 / Tree Diagrams
MA.E.2.3.1, , MA.E.3.3.2
Fundamental Counting Principle
MA.E.3.3.1 / sample space, tree diagram, Fundamental Counting Principal / Recommend doing the ways to find sample space with simple probability as continuing lesson
1 / 9-6 / Theoretical Probability
MA.E.1.3.1, MA.E.2.3.1, MA.E.3.3.1
Develop concept through hands-on activity based on theoretical probability. / theoretical probability / Use proportions to make predictions based on theoretical probability.
1 / 9-6 / Experimental Probability
MA.E.1.3.1, MA.E.2.3.1, MA.E.3.3.1
Develop concept through hands-on activity based on experimental probability. / experimental probability / Use proportions to make predictions based on experimental probability
1 / 9-7 / Independent and Dependent Events
MA.E.2.3.1, MA.E.3.3.1 / Compound event independent event dependent event
2 / Review & Assessment
5 / FCAT Review & Prep
12 / Total Days
Destination Math
Activities:
Independent Events
Tree Diag/Ratio/IndepenOutcome
Mutually Exclusive Events
Sample Space/As % And Fraction
Tests:
Math Reg: Ch 09 ProbProportions
Essential Questions for this unit:
1. How are the relationships of angles and lines related in the various plane figures?
2. How can angle relationships and the sum of angles in a figure be used to determine angle measures?
Math 2R 1205040DUnit Name: Plane Figure Geometry
Block days
or
class days / Textbook Section / Topic, Benchmark / Vocabulary,
Resources / Extensions / DW Test item #’s
1 / Inside back cover of text / Geometry Symbols / Parallel, perpendicular,
congruent, similar, line, ray, segment, pi / Make a table of symbol, meaning and illustration
1 / 10-1 / Angles
MA.B.1.3.2, MA.C.1.3.1, MA.C.3.3.1 / Angle, degrees, vertex, acute angle, right angle, obtuse angle, straight angle
1 / 10-4 / Triangles
MA.C.1.3.1, MA.C.1.3.1, MA.C.2.3.1, MA.C.3.3.1-1, MA.C.3.3.1-2 / Triangle, acute, right, obtuse, scalene, isosceles, equilateral
1 / 10-5 / Quadrilaterals
MA.C.1.3.1, MA.C.1.3.1, MA.C.1.3.1 / Rectangle, square, parallelogram, trapezoid
1 / 10-3 / Angle Relationships
MA.B.1.3.2, MA.C.1.3.1 / Vertical angles, congruent angles, supplementary angles,
complementary angles
2 / Review & Assessment
5 / FCAT Review & Prep
12 / Total Days
Destination Math
Activities:
Squares and Rectangles
Classify Tri by side and angle
Parallelogram and Trapezoid
Line, Seg, Ray & Classify Angl
Angle Relationships
Tests:
Math Reg: Ch 10 Plane Fig Geo
Essential Questions