M8005 8th Mathnew
User Manual: M8005
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Page Count: 16
Math Lesson Plan
8th Grade Curriculum
Total Activities: 345
Chapter -"Number Systems"-This chapter addresses rational
and irrational numbers, absolute value and scientific notation.
Lesson
Code Lesson Title and Description LA
Number
1Scientific Notation-Express numbers
between zero and one in scientific
notation.
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M8002
2Rational and Irrational Numbers-
Identify rational and irrational numbers
and describe meanings.
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M8004
3Absolute Value-Identify and explain
absolute value.
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M8006
M8007
M8008
M8009
M8010
Chapter -"Real Numbers"-This chapter addresses repeating
decimals, principal square roots, estimation and simplification
of expressions.
Lesson
Code Lesson Title and Description LA
Number
1Repeating Decimals to Fractions-
Convert repeating decimals to fractions.
M8011
M8012
M8013
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M8014
M8015
M8016
2Roots-Calculate and approximate
principal square roots.
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M8019
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M8022
3
Compare and Order-Compare and order
numbers in many forms including:
fractions, decimals, scientific notation,
absolute value, and radicals.
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M8024
M8025
M8026
M8027
M8028
4Estimation-Use estimation for
situations using real numbers. M8029
M8030
5Properties-Apply properties to solve
problems with real numbers. M8031
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6Real Number Operations-Simplify
numerical expressions with real
numbers.
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M8036
M8037
M8038
Chapter -"Number Theory"-This chapter addresses
representing numbers in binary and octal, divisibility rules
and the concept of relatively prime.
Lesson
Code Lesson Title and Description LA
Number
1Divisibility Rules-Use divisibility rules
to solve problems. M8039
M8040
2Multiple Representations-Represent
numbers in base ten in other bases (two,
five, and eight) and vice versa.
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3Prime and Composite-Identify numbers
as relatively prime.
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M8048
Chapter -"Ratio, Proportion and Percent"-This chapter
addresses rate of change and proportional relationships.
Lesson
Code Lesson Title and Description LA
Number
1Rate of Change-Describe and use rate
of change to solve problems.
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2
Proportions-Use proportional
relationships to find measures of length,
weight or mass, and capacity or
volume.
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3Percents-Solve real world problems
involving percents greater than 100.
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M8060
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M8062
Chapter -"Real World Computation"-This chapter addresses
real world problems (one-, two- and multi-step problems).
Lesson
Code Lesson Title and Description LA
Number
1Operations-Solve real world problems
with rational numbers (including
integers, decimals and fractions).
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2Real World Problems-Solve real world
problems with ratios, rates, proportions,
and percents.
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M8072
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M8074
3
Multi-Step Problems-Solve real world
two- or three- step problems with
integers, decimals, fractions, ratios,
rates, proportions, and percents.
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M8076
M8077
M8078
M8079
M8080
Chapter -"Expressions and Equations"-This chapter addresses
substitution, translation, and evaluation as well as solving
linear inequalities.
Lesson
Code Lesson Title and Description LA
Number
1Expressions-Substitute rational
numbers into expressions and evaluate.
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2Expressions with Exponents-Substitute
rational numbers into expressions with
exponents and radicals.
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M8092
3
Expressions and Equations-Translate
word expressions and equations into
algebraic expressions and equations
(including one or more variables and
exponents).
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M8094
M8095
M8096
M8097
M8098
4
Expressions, Equations, and
Inequalities-Translate verbal
expressions and sentences into
algebraic inequalities and vice versa.
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5Real World Expressions-Use variables
to represent unknown quantities in real
world situations.
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M8102
6Simplify-Combine and simplify
algebraic expressions with a maximum
of two variables.
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M8106
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M8108
7
Substitution-Evaluate algebraic
expressions and equations by
substituting integral values for variables
and simplifying.
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M8110
8Inequalities-Solve linear inequalities in
one variable algebraically.
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M8112
M8113
M8114
M8115
M8116
Chapter -"Plane Geometry"-This chapter addresses the
Pythagorean Theorem, transformations, congruence, parallel
and perpendicular.
Lesson
Code Lesson Title and Description LA
Number
1Geometric Properties-Use properties of
parallelism, perpendicularity, and
symmetry to solve real world problems.
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M8118
2Polygons-Compare and describe
properties of convex and concave
polygons.
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3Pythagorean Theorem-Apply the
Pythagorean theorem to solve real
world problems.
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M8123
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M8126
4Congruent and Similar-Identify
congruence and similarity in real world
situations and justify.
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M8129
M8130
M8131
M8132
5
Transformations-Identify and perform
transformations (reflection, translation,
rotation, and dilation) of a figure on a
coordinate plane.
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M8134
M8135
M8136
M8137
M8138
6Proportional Relationships-Identify
how changes in dimensions affect area
and perimeter.
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M8141
M8142
M8143
M8144
7Explore Reflection/Translation-Use the
Transformation tool to investigate
reflections and translations. M8501
8Explore Rotations-Use the
Transformation tool to investigate
rotations. M8502
9Explore Dilation-Use the
Transformation tool to investigate
dilation. M8503
10 Explore Transformations-Use the
Transformation tool to investigate
multiple transformations. M8504
Chapter -"Three-Dimensional Geometry"-This chapter
addresses the volumes and surface areas of three-dimensional
shapes.
Lesson
Code Lesson Title and Description LA
Number
1Volume-Find the volume of pyramids,
prisms, and cones.
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M8147
M8148
M8149
M8150
2Surface Area-Find the surface area of
pyramids, prisms, and cones. M8151
M8152
3Regular and Irregular Polygons-
Compare regular and irregular
polygons.
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M8154
M8155
M8156
M8157
M8158
4
Angle Measure-Find the angle measure
in two-dimensional figures and two-
dimensional sides of three-dimensional
figures based on geometric
relationships.
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M8160
M8161
M8162
M8163
M8164
5Proportional Relationships-Identify the
relationship between volume or surface
area and dimension.
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M8167
M8168
M8169
M8170
Chapter -"Measurement"-This chapter addresses scale,
estimation and significant digits.
Lesson
Code Lesson Title and Description LA
Number
1Scale-Interpret and apply various scales
including number lines, graphs, models,
and maps.
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M8172
2
Estimation-Select tools to measure
quantities and dimensions to a specified
degree of accuracy and determine the
greatest possible error of measurement.
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M8180
3
Significant Digits-Identify the number
of significant digits as related to the
least precise unit of measure and apply
to real world contexts.
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M8182
M8183
M8184
M8185
M8186
Chapter -"Graphing"-This chapter addresses graphing linear
equalities and inequalities.
Lesson
Code Lesson Title and Description LA
Number
1Tables and Ordered Pairs-Use a table to
find ordered pair solutions of a linear
equation in slope-intercept form.
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M8188
2Equations to Lines-Graph linear
equations in standard form.
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M8190
M8191
M8192
M8193
M8194
3Linear Inequalities-Identify and graph
inequalities on a number line.
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M8196
M8197
M8198
M8199
M8200
4Inequalities-Identify and graph
inequalities in the coordinate plane. M8201
M8202
5Applications of Linear Inequalities-
Solve problems in two variables using
linear inequalities.
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M8204
6Explore Inequalities I-Use the Number
Line tool to investigate linear
inequalities in one variable. M8500
7Explore Inequalities II-Use the
Coordinate Graphing tool to investigate
linear inequalities in two variables. M8507
8Explore Linear Programming-Use the
Coordinate Graphing tool to investigate
linear programming. M8510
Chapter -"Linear Relationships"-This chapter addresses x-
and y-intercepts, slope and determining if a function is linear.
Lesson
Code Lesson Title and Description LA
Number
1x- and y- Intercepts-Given the graph of
a linear relationship, determine the x-
and y- intercepts.
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M8206
2Slope of a Line-Given the graph of a
line, determine the slope.
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M8209
M8210
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M8212
3Write Equations in Slope-Intercept
Form-Given the slope and y-intercept,
write an equation.
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M8214
4
Find a Function Rule-Find a function
rule to describe a linear relationship
using tables of related input-output
variables.
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M8220
5
Determine if a Function is Linear-Using
information from a table, graph, or rule,
determine if a function is linear and
justify.
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M8223
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M8225
M8226
6Explore Linear Relationships-Use the
Coordinate Graphing tool to investigate
problems about linear relationships. M8272
7Explore Slope-Intercept Form-Use the
Coordinate Graphing tool to investigate
the slope-intercept form of a line. M8506
8Explore Reflections of Lines-Use the
Coordinate Graphing tool to investigate
reflections of lines. M8508
9Explore Linear/Nonlinear-Use the
Coordinate Graphing tool to investigate
linear and nonlinear relationships. M8509
Chapter -"Probability"-This chapter addresses conditional
probability and sampling.
Lesson
Code Lesson Title and Description LA
Number
1Conditional Probability-Calculate
conditional probabilities and the
probabilities of dependent events.
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M8232
2Sampling Techniques-Define and
differentiate between different types of
sampling techniques.
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3Apply Sampling-Use different types of
sampling techniques to collect data. M8235
M8236
4Sample Bias-Identify whether a sample
is biased.
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M8242
5
Explore Probability I-Use the
Probability tool to investigate the
difference between experimental and
theoretical probability on number cubes
and spinners.
M8512
6Explore Probability II-Use the
Probability tool to investigate
conditional probability with marbles. M8513
Chapter -"Data and Statistics"-This chapter addresses
different data representations and the measures of central
tendency.
Lesson
Code Lesson Title and Description LA
Number
1
Data Representations-Interpret circle,
line, bar, histogram, stem-and-leaf, and
box-and-whisker graphs including how
different displays lead to different
interpretations.
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M8248
2Statistics-Identify and explain how
statistics and graphs can be used in
misleading ways.
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M8251
M8252
M8253
M8254
3Mean, Median and Mode-Determine
appropriate measures of central
tendency for a given situation or set of
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M8257
data. M8258
M8259
M8260
4Technology-Use technology to
determine the mean, median, mode, and
range of a set of real world data.
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M8262
5
Explore Central Tendency-Use the Data
Representation tool to investigate the
mean, median, mode and range in
various types of data sets.
M8514
6Explore Statistical Plots-Use the Data
Representation tool to investigate stem-
and-leaf and box-and-whisker plots. M8515
7
Explore Scatterplots-Use the
Coordinate Graphing tool to investigate
scatterplots and relationships between
variables.
M8511
Chapter -"Practice"-This chapter contains additional practice
activities.
Lesson
Code Lesson Title and Description LA
Number
21
Add/Subtract Integers-Review positive
and negative values and the number
line. Determine absolute value. Add
and subtract positive and negative
integers. Use equivalent expressions to
subtract positive and negative integers.
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22 Divisibility -Learn and apply the rules
of divisibility. Determine divisibility.
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8232
23
Multiply/Divide Integers-Recognize
multiplication on a number line.
Review rules for signs of products and
quotients. Multiply and divide positive
and negative integers. Multiply more
than two integers. Investigate the
commutative property, the
multiplicative property of 0, the
distributive property, and the
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8236
associative property.
24
Integers as Exponents-Review the rules
for signs in exponential expressions.
Identify base and exponent. Evaluate
expressions with positive and negative
bases. Evaluate expressions with
positive and negative exponents.
Convert between negative exponents
and fractions.
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25
Use Powers of Ten -Multiply and
divide by powers of ten. Use exponents
for powers of ten. Multiply by decimal
powers of ten. Apply mental math.
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26
Solve Using Add/Subtract -Identify
inverse operations. Use addition and
subtraction to solve equations. Solve
equations with negative numbers.
Check work by substituting a solution
for the unknown.
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38
Rational Numbers Properties -Learn the
definition of a rational number.
Complete equations. Learn properties
of addition and multiplication.
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12
Squares and Square Roots -Calculate
squares and square roots. Find the
principal and negative square roots.
Estimate square roots.
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27
Multiply Mixed Numbers-Learn and
apply steps to multiply fractions.
Convert mixed numbers to improper
fractions. Use shortcuts with
multiplication.
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28
Divide Mixed Numbers-Learn and
apply steps to divide whole numbers
and mixed numbers. Convert mixed
numbers to improper fractions. Divide
using reciprocals. Simplify answers.
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29 GCF and LCM-Identify prime factors.
Determine the greatest common factor
(GCF) and the least common multiple
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(LCM).
30
Estimate by Rounding Decimals-Learn
and apply methods of estimation.
Estimate sums, differences, products,
and quotients.
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31
Add/Sub Decimals & Fractions-Use
absolute value to add decimals. Add
fractions using the least common
denominator (LCD). Subtract by adding
the opposite value. Apply rules for
signs.
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3
Percents, Fractions, Decimals-Convert
percents, fractions, and decimals.
Convert complex percents to decimals
and fractions.
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32 Percent Proportions-Set up and solve
percent proportions. Use shortcuts with
common fractions.
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33 Sales Tax and Discount -Set up
proportions. Calculate discount, sale
price, sales tax, and total cost.
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34
Percent of Increase/Decrease-Learn to
calculate the amount of increase or
decrease. Set up proportions. Calculate
percent increase or decrease.
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35
Ratio, Rate, and Proportion-Understand
ratios, rates, and proportions. Use
proportions to solve word problems.
Find the unit rate.
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47
1-Step Add/Sub Word Problems-Use a
5-step strategy for solving word
problems. Add and subtract whole
numbers and decimal numbers.
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19
Surface Area: Pyramids & Cones-
Calculate the surface area of square
pyramids, rectangular pyramids, and
cones.
8088
6 Solve Using Multiply/Divide-Identify 8078
inverse operations. Use multiplication
and division to solve equations. Use
reciprocals to solve equations with
fractions. Check work by substituting a
solution for the unknown.
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1Solve 2-Step Equations-Determine the
order of operations for two-step
equations. Solve two-step equations.
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13
Graph Sentences-Solve and graph
single and compound inequalities.
Reverse the sign when multiplying and
dividing by a negative number.
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48
Graph Linear Equations-Learn the steps
to graph equations. Find x- and y-
values. Write ordered pairs. Graph
equations on the coordinate plane.
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36
Graph Inequalities-Learn to graph
inequalities with lines and shading.
Solve inequalities. Identify ordered
pairs. Plot ordered pairs and shade.
Graph inequalities. Recognize correct
lines and shading.
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15 Lines and Angles-Identify angle
relationships. Calculate angle
measurements.
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37
Polygons-Recognize regular and
irregular polygons. Identify types of
quadrilaterals. Find the sum of interior
angles. Find interior angles in a regular
polygon.
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14
Congruent/Similar Figures-Define
congruence and similarity. Identify
corresponding vertices, sides, and
angles. Find missing measures for
congruent and similar figures.
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16
Perimeter and Area-Learn the formulas
for the area of rectangles,
parallelograms, triangles, and
trapezoids. Calculate perimeter and
area.
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17
Circles: Circumference & Area-Learn
the characteristics of circles. Learn the
formulas for circumference and area.
Calculate circumference, diameter,
radius, and area.
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18
Surface Area: Prisms/Cylinders-
Calculate the surface area of cubes,
prisms, and cylinders. Investigate faces
and edges.
8089
7
Volume of Prisms and Cylinders-Learn
the formulas for the volume of prisms
and cylinders. Calculate the volume of
prisms and cylinders. Find the area of
the base or the height.
8090
9
Volume of Pyramids and Cones-
Recognize types of pyramids. Learn the
formulas for the volume of pyramids
and cones. Calculate the volume of
pyramids and cones.
8091
2
Pythagorean Theorem-Learn to apply
the Pythagorean theorem. Calculate the
length of the hypotenuse or the legs.
Determine whether given
measurements form a right triangle.
Determine Pythagorean triples.
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20 Special Right Triangles-Calculate the
hypotenuse and leg measurements of
special right triangles.
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4Circle Graphs-Determine central
angles. Use proportions to determine
percentages. Interpret graphs.
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10 Histograms-Create frequency charts
and histograms. Interpret data from
histograms.
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39 Scatter Plots-Create scatter plots.
Determine correlation. Predict
correlation without plotting.
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49 Stem-and-Leaf Plots-Create stem-and-
leaf plots. Interpret plots. Find mode 8097
8135
and median. Use double plots. 8259
11
Box-and-Whisker Plots -Identify
extremes, quartiles, median, and range
of an ordered set. Graph box-and-
whisker plots. Interpret plots. Compare
two sets of data.
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40
Probability of Events-Recognize
dependent and independent events.
Calculate the probability of single and
compound independent events.
Calculate the probability of dependent
events.
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41
Combinations and Permutations -
Determine expressions for permutations
and combinations. Learn factorial
notation. Calculate permutations and
combinations.
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42
Number Combinations -Review
strategies to solve a problem. Solve a
problem using all possibilities, a table,
and patterns.
8139
43
Number Expansion -Review strategies
to solve a problem. Solve a problem
using a simpler problem, drawings, a
table, and patterns.
8140
44 Number Sequences-Review strategies
to solve a problem. Solve a problem by
finding a pattern and guessing. 8141
45 Area-Review strategies to solve a
problem. Solve a problem by using a
table, drawings, and guessing. 8142
46 Probability-Solve a problem using a
table. 8143
Scope & Sequence Copyright. ©2007 CompassLearning, Inc. All rights reserved.
