M8005 8th Mathnew

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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
Lesson Title and Description
Code

LA
Number

1

Scientific Notation-Express numbers
between zero and one in scientific
notation.

M8001
M8002

2

Rational and Irrational NumbersIdentify rational and irrational numbers
and describe meanings.

M8003
M8004

Absolute Value-Identify and explain
absolute value.

M8005
M8006
M8007
M8008
M8009
M8010

3

Chapter -"Real Numbers"-This chapter addresses repeating
decimals, principal square roots, estimation and simplification
of expressions.
Lesson
Lesson Title and Description
Code
1

LA
Number

M8011
Repeating Decimals to FractionsM8012
Convert repeating decimals to fractions.
M8013

M8014
M8015
M8016

2

Roots-Calculate and approximate
principal square roots.

M8017
M8018
M8019
M8020
M8021
M8022

3

Compare and Order-Compare and order
numbers in many forms including:
fractions, decimals, scientific notation,
absolute value, and radicals.

M8023
M8024
M8025
M8026
M8027
M8028

4

Estimation-Use estimation for
situations using real numbers.

M8029
M8030

5

Properties-Apply properties to solve
problems with real numbers.

M8031
M8032

Real Number Operations-Simplify
numerical expressions with real
numbers.

M8033
M8034
M8035
M8036
M8037
M8038

6

Chapter -"Number Theory"-This chapter addresses
representing numbers in binary and octal, divisibility rules
and the concept of relatively prime.
Lesson
Lesson Title and Description
Code

LA
Number

1

Divisibility Rules-Use divisibility rules
to solve problems.

M8039
M8040

2

Multiple Representations-Represent
M8041
numbers in base ten in other bases (two,
M8042
five, and eight) and vice versa.

3

Prime and Composite-Identify numbers
as relatively prime.

M8043
M8044
M8045

M8046
M8047
M8048
Chapter -"Ratio, Proportion and Percent"-This chapter
addresses rate of change and proportional relationships.
Lesson
Lesson Title and Description
Code

LA
Number
M8049
M8050
M8051
M8052
M8053
M8054

1

Rate of Change-Describe and use rate
of change to solve problems.

2

Proportions-Use proportional
relationships to find measures of length, M8055
weight or mass, and capacity or
M8056
volume.

3

M8057
M8058
M8059
M8060
M8061
M8062

Percents-Solve real world problems
involving percents greater than 100.

Chapter -"Real World Computation"-This chapter addresses
real world problems (one-, two- and multi-step problems).
Lesson
Lesson Title and Description
Code

LA
Number
M8063
M8064
M8065
M8066
M8067
M8068

1

Operations-Solve real world problems
with rational numbers (including
integers, decimals and fractions).

2

M8069
M8070
Real World Problems-Solve real world
M8071
problems with ratios, rates, proportions,
M8072
and percents.
M8073
M8074

3

Multi-Step Problems-Solve real world
two- or three- step problems with
integers, decimals, fractions, ratios,
rates, proportions, and percents.

M8075
M8076
M8077
M8078
M8079
M8080

Chapter -"Expressions and Equations"-This chapter addresses
substitution, translation, and evaluation as well as solving
linear inequalities.
Lesson
Lesson Title and Description
Code

LA
Number

Expressions-Substitute rational
numbers into expressions and evaluate.

M8081
M8082
M8083
M8084
M8085
M8086

2

Expressions with Exponents-Substitute
rational numbers into expressions with
exponents and radicals.

M8087
M8088
M8089
M8090
M8091
M8092

3

Expressions and Equations-Translate
word expressions and equations into
algebraic expressions and equations
(including one or more variables and
exponents).

M8093
M8094
M8095
M8096
M8097
M8098

4

Expressions, Equations, and
Inequalities-Translate verbal
expressions and sentences into
algebraic inequalities and vice versa.

M8099
M8100

5

Real World Expressions-Use variables
to represent unknown quantities in real
world situations.

M8101
M8102

6

Simplify-Combine and simplify
algebraic expressions with a maximum
of two variables.

M8103
M8104
M8105
M8106

1

M8107
M8108

7

Substitution-Evaluate algebraic
expressions and equations by
M8109
substituting integral values for variables M8110
and simplifying.

8

M8111
M8112
M8113
M8114
M8115
M8116

Inequalities-Solve linear inequalities in
one variable algebraically.

Chapter -"Plane Geometry"-This chapter addresses the
Pythagorean Theorem, transformations, congruence, parallel
and perpendicular.
Lesson
Lesson Title and Description
Code

LA
Number

1

Geometric Properties-Use properties of
parallelism, perpendicularity, and
symmetry to solve real world problems.

M8117
M8118

2

Polygons-Compare and describe
properties of convex and concave
polygons.

M8119
M8120

Pythagorean Theorem-Apply the
Pythagorean theorem to solve real
world problems.

M8121
M8122
M8123
M8124
M8125
M8126

4

Congruent and Similar-Identify
congruence and similarity in real world
situations and justify.

M8127
M8128
M8129
M8130
M8131
M8132

5

Transformations-Identify and perform
transformations (reflection, translation,
rotation, and dilation) of a figure on a
coordinate plane.

M8133
M8134
M8135
M8136

3

M8137
M8138

6

Proportional Relationships-Identify
how changes in dimensions affect area
and perimeter.

M8139
M8140
M8141
M8142
M8143
M8144

7

Explore Reflection/Translation-Use the
Transformation tool to investigate
reflections and translations.

M8501

8

Explore Rotations-Use the
Transformation tool to investigate
rotations.

M8502

9

Explore 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
Lesson Title and Description
Code

LA
Number

1

Volume-Find the volume of pyramids,
prisms, and cones.

M8145
M8146
M8147
M8148
M8149
M8150

2

Surface Area-Find the surface area of
pyramids, prisms, and cones.

M8151
M8152

3

Regular and Irregular PolygonsCompare regular and irregular
polygons.

M8153
M8154
M8155
M8156
M8157

M8158

4

5

Angle Measure-Find the angle measure
in two-dimensional figures and twodimensional sides of three-dimensional
figures based on geometric
relationships.

M8159
M8160
M8161
M8162
M8163
M8164

Proportional Relationships-Identify the
relationship between volume or surface
area and dimension.

M8165
M8166
M8167
M8168
M8169
M8170

Chapter -"Measurement"-This chapter addresses scale,
estimation and significant digits.
Lesson
Lesson Title and Description
Code

LA
Number

1

Scale-Interpret and apply various scales
M8171
including number lines, graphs, models,
M8172
and maps.

2

Estimation-Select tools to measure
quantities and dimensions to a specified M8179
degree of accuracy and determine the
M8180
greatest possible error of measurement.

3

Significant Digits-Identify the number
of significant digits as related to the
least precise unit of measure and apply
to real world contexts.

M8181
M8182
M8183
M8184
M8185
M8186

Chapter -"Graphing"-This chapter addresses graphing linear
equalities and inequalities.
Lesson
Lesson Title and Description
Code
1

Tables and Ordered Pairs-Use a table to
find ordered pair solutions of a linear
equation in slope-intercept form.

LA
Number
M8187
M8188

Equations to Lines-Graph linear
equations in standard form.

M8189
M8190
M8191
M8192
M8193
M8194

3

Linear Inequalities-Identify and graph
inequalities on a number line.

M8195
M8196
M8197
M8198
M8199
M8200

4

Inequalities-Identify and graph
inequalities in the coordinate plane.

M8201
M8202

5

Applications of Linear InequalitiesSolve problems in two variables using
linear inequalities.

M8203
M8204

6

Explore Inequalities I-Use the Number
Line tool to investigate linear
inequalities in one variable.

M8500

7

Explore Inequalities II-Use the
Coordinate Graphing tool to investigate
linear inequalities in two variables.

M8507

8

Explore Linear Programming-Use the
Coordinate Graphing tool to investigate
linear programming.

M8510

2

Chapter -"Linear Relationships"-This chapter addresses xand y-intercepts, slope and determining if a function is linear.
Lesson
Lesson Title and Description
Code
1

2

LA
Number

x- and y- Intercepts-Given the graph of
a linear relationship, determine the xand y- intercepts.

M8205
M8206

Slope of a Line-Given the graph of a
line, determine the slope.

M8207
M8208
M8209
M8210
M8211

M8212
3

Write Equations in Slope-Intercept
Form-Given the slope and y-intercept,
write an equation.

M8213
M8214

4

Find a Function Rule-Find a function
rule to describe a linear relationship
using tables of related input-output
variables.

M8215
M8216
M8217
M8218
M8219
M8220

5

M8221
Determine if a Function is Linear-Using M8222
information from a table, graph, or rule, M8223
determine if a function is linear and
M8224
justify.
M8225
M8226

6

Explore Linear Relationships-Use the
Coordinate Graphing tool to investigate
problems about linear relationships.

M8272

7

Explore Slope-Intercept Form-Use the
Coordinate Graphing tool to investigate
the slope-intercept form of a line.

M8506

8

Explore Reflections of Lines-Use the
Coordinate Graphing tool to investigate
reflections of lines.

M8508

9

Explore Linear/Nonlinear-Use the
Coordinate Graphing tool to investigate
linear and nonlinear relationships.

M8509

Chapter -"Probability"-This chapter addresses conditional
probability and sampling.
Lesson
Lesson Title and Description
Code

1

Conditional Probability-Calculate
conditional probabilities and the
probabilities of dependent events.

LA
Number
M8227
M8228
M8229
M8230
M8231
M8232

2

Sampling Techniques-Define and
differentiate between different types of
sampling techniques.

M8233
M8234

3

Apply Sampling-Use different types of
sampling techniques to collect data.

M8235
M8236

4

Sample Bias-Identify whether a sample
is biased.

M8237
M8238
M8239
M8240
M8241
M8242

5

Explore Probability I-Use the
Probability tool to investigate the
difference between experimental and
theoretical probability on number cubes
and spinners.

M8512

6

Explore 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
Lesson Title and Description
Code

LA
Number

Data Representations-Interpret circle,
line, bar, histogram, stem-and-leaf, and
box-and-whisker graphs including how
different displays lead to different
interpretations.

M8243
M8244
M8245
M8246
M8247
M8248

2

Statistics-Identify and explain how
statistics and graphs can be used in
misleading ways.

M8249
M8250
M8251
M8252
M8253
M8254

3

Mean, Median and Mode-Determine
appropriate measures of central
tendency for a given situation or set of

M8255
M8256
M8257

1

data.

M8258
M8259
M8260

4

Technology-Use technology to
M8261
determine the mean, median, mode, and
M8262
range of a set of real world data.

5

Explore Central Tendency-Use the Data
Representation tool to investigate the
M8514
mean, median, mode and range in
various types of data sets.

6

Explore Statistical Plots-Use the Data
Representation tool to investigate stemand-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
Lesson Title and Description
Code

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.

8059
8101
8235

22

Divisibility -Learn and apply the rules
of divisibility. Determine divisibility.

8060
8102
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

8061
8103
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.

8062
8104
8237

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.

8063
8105
8231

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.

8064
8106
8238

38

Rational Numbers Properties -Learn the
8065
definition of a rational number.
8107
Complete equations. Learn properties
8242
of addition and multiplication.

12

Squares and Square Roots -Calculate
squares and square roots. Find the
principal and negative square roots.
Estimate square roots.

8066
8108
8255

27

Multiply Mixed Numbers-Learn and
apply steps to multiply fractions.
Convert mixed numbers to improper
fractions. Use shortcuts with
multiplication.

8067
8109
8247

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.

8068
8110
8233

29

GCF and LCM-Identify prime factors.
Determine the greatest common factor
(GCF) and the least common multiple

8069
8111
8241

(LCM).

30

Estimate by Rounding Decimals-Learn
and apply methods of estimation.
Estimate sums, differences, products,
and quotients.

31

Add/Sub Decimals & Fractions-Use
absolute value to add decimals. Add
8071
fractions using the least common
8113
denominator (LCD). Subtract by adding
8243
the opposite value. Apply rules for
signs.

3

Percents, Fractions, Decimals-Convert
percents, fractions, and decimals.
Convert complex percents to decimals
and fractions.

8072
8114
8245

32

Percent Proportions-Set up and solve
percent proportions. Use shortcuts with
common fractions.

8073
8115
8246

33

Sales Tax and Discount -Set up
proportions. Calculate discount, sale
price, sales tax, and total cost.

8074
8116
8248

34

Percent of Increase/Decrease-Learn to
calculate the amount of increase or
decrease. Set up proportions. Calculate
percent increase or decrease.

8075
8117
8249

35

Ratio, Rate, and Proportion-Understand
ratios, rates, and proportions. Use
proportions to solve word problems.
Find the unit rate.

8076
8118
8244

47

1-Step Add/Sub Word Problems-Use a
5-step strategy for solving word
problems. Add and subtract whole
numbers and decimal numbers.

8077
8119

19

Surface Area: Pyramids & ConesCalculate the surface area of square
pyramids, rectangular pyramids, and
cones.

8088

6

Solve Using Multiply/Divide-Identify

8078

8070
8112
8230

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.

8120
8239

1

Solve 2-Step Equations-Determine the
order of operations for two-step
equations. Solve two-step equations.

8079
8121
8240

13

Graph Sentences-Solve and graph
single and compound inequalities.
Reverse the sign when multiplying and
dividing by a negative number.

8080
8122
8264

48

Graph Linear Equations-Learn the steps
8081
to graph equations. Find x- and y8123
values. Write ordered pairs. Graph
8265
equations on the coordinate plane.

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.

8082
8124
8266

15

Lines and Angles-Identify angle
relationships. Calculate angle
measurements.

8083
8125
8250

37

Polygons-Recognize regular and
irregular polygons. Identify types of
quadrilaterals. Find the sum of interior
angles. Find interior angles in a regular
polygon.

8084
8126
8251

14

Congruent/Similar Figures-Define
congruence and similarity. Identify
corresponding vertices, sides, and
angles. Find missing measures for
congruent and similar figures.

8085
8127
8252

16

Perimeter and Area-Learn the formulas
for the area of rectangles,
parallelograms, triangles, and
trapezoids. Calculate perimeter and
area.

8086
8128
8253

17

Circles: Circumference & Area-Learn
the characteristics of circles. Learn the
formulas for circumference and area.
Calculate circumference, diameter,
radius, and area.

8087
8129
8254

18

Surface Area: Prisms/CylindersCalculate 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 ConesRecognize 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.

8092
8130
8256

20

Special Right Triangles-Calculate the
hypotenuse and leg measurements of
special right triangles.

8093
8131
8257

4

Circle Graphs-Determine central
angles. Use proportions to determine
percentages. Interpret graphs.

8094
8132
8234

10

Histograms-Create frequency charts
and histograms. Interpret data from
histograms.

8095
8133
8258

39

Scatter Plots-Create scatter plots.
Determine correlation. Predict
correlation without plotting.

8096
8134
8261

49

Stem-and-Leaf Plots-Create stem-andleaf 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-andwhisker plots. Interpret plots. Compare
two sets of data.

8098
8136
8260

40

Probability of Events-Recognize
dependent and independent events.
Calculate the probability of single and
compound independent events.
Calculate the probability of dependent
events.

8099
8137
8262

41

Combinations and Permutations Determine expressions for permutations 8100
and combinations. Learn factorial
8138
notation. Calculate permutations and
8263
combinations.

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.
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