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.

M8001

M8002

2Rational and Irrational Numbers-

Identify rational and irrational numbers

and describe meanings.

M8003

M8004

3Absolute Value-Identify and explain

absolute value.

M8005

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.

M8017

M8018

M8019

M8020

M8021

M8022

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

4Estimation-Use estimation for

situations using real numbers. M8029

M8030

5Properties-Apply properties to solve

problems with real numbers. M8031

M8032

6Real Number Operations-Simplify

numerical expressions with real

numbers.

M8033

M8034

M8035

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.

M8041

M8042

3Prime 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

Code Lesson Title and Description LA

Number

1Rate of Change-Describe and use rate

of change to solve problems.

M8049

M8050

M8051

M8052

M8053

M8054

Proportions-Use proportional

relationships to find measures of length,

weight or mass, and capacity or

volume.

M8055

M8056

3Percents-Solve real world problems

involving percents greater than 100.

M8057

M8058

M8059

M8060

M8061

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).

M8063

M8064

M8065

M8066

M8067

M8068

2Real World Problems-Solve real world

problems with ratios, rates, proportions,

and percents.

M8069

M8070

M8071

M8072

M8073

M8074

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

Code Lesson Title and Description LA

Number

1Expressions-Substitute rational

numbers into expressions and evaluate.

M8081

M8082

M8083

M8084

M8085

M8086

2Expressions with Exponents-Substitute

rational numbers into expressions with

exponents and radicals.

M8087

M8088

M8089

M8090

M8091

M8092

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

Expressions, Equations, and

Inequalities-Translate verbal

expressions and sentences into

algebraic inequalities and vice versa.

M8099

M8100

5Real World Expressions-Use variables

to represent unknown quantities in real

world situations.

M8101

M8102

6Simplify-Combine and simplify

algebraic expressions with a maximum

of two variables.

M8103

M8104

M8105

M8106

M8107

M8108

Substitution-Evaluate algebraic

expressions and equations by

substituting integral values for variables

and simplifying.

M8109

M8110

8Inequalities-Solve linear inequalities in

one variable algebraically.

M8111

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.

M8117

M8118

2Polygons-Compare and describe

properties of convex and concave

polygons.

M8119

M8120

3Pythagorean Theorem-Apply the

Pythagorean theorem to solve real

world problems.

M8121

M8122

M8123

M8124

M8125

M8126

4Congruent and Similar-Identify

congruence and similarity in real world

situations and justify.

M8127

M8128

M8129

M8130

M8131

M8132

Transformations-Identify and perform

transformations (reflection, translation,

rotation, and dilation) of a figure on a

coordinate plane.

M8133

M8134

M8135

M8136

M8137

M8138

6Proportional Relationships-Identify

how changes in dimensions affect area

and perimeter.

M8139

M8140

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.

M8145

M8146

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.

M8153

M8154

M8155

M8156

M8157

M8158

Angle Measure-Find the angle measure

in two-dimensional figures and two-

dimensional sides of three-dimensional

figures based on geometric

relationships.

M8159

M8160

M8161

M8162

M8163

M8164

5Proportional 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

Code Lesson Title and Description LA

Number

1Scale-Interpret and apply various scales

including number lines, graphs, models,

and maps.

M8171

M8172

Estimation-Select tools to measure

quantities and dimensions to a specified

degree of accuracy and determine the

greatest possible error of measurement.

M8179

M8180

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

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.

M8187

M8188

2Equations to Lines-Graph linear

equations in standard form.

M8189

M8190

M8191

M8192

M8193

M8194

3Linear Inequalities-Identify and graph

inequalities on a number line.

M8195

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.

M8203

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.

M8205

M8206

2Slope of a Line-Given the graph of a

line, determine the slope.

M8207

M8208

M8209

M8210

M8211

M8212

3Write Equations in Slope-Intercept

Form-Given the slope and y-intercept,

write an equation.

M8213

M8214

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

Determine if a Function is Linear-Using

information from a table, graph, or rule,

determine if a function is linear and

justify.

M8221

M8222

M8223

M8224

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.

M8227

M8228

M8229

M8230

M8231

M8232

2Sampling Techniques-Define and

differentiate between different types of

sampling techniques.

M8233

M8234

3Apply Sampling-Use different types of

sampling techniques to collect data. M8235

M8236

4Sample Bias-Identify whether a sample

is biased.

M8237

M8238

M8239

M8240

M8241

M8242

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

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

2Statistics-Identify and explain how

statistics and graphs can be used in

misleading ways.

M8249

M8250

M8251

M8252

M8253

M8254

3Mean, Median and Mode-Determine

appropriate measures of central

tendency for a given situation or set of

M8255

M8256

M8257

data. M8258

M8259

M8260

4Technology-Use technology to

determine the mean, median, mode, and

range of a set of real world data.

M8261

M8262

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

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

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

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.

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

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

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

Rational Numbers Properties -Learn the

definition of a rational number.

Complete equations. Learn properties

of addition and multiplication.

8065

8107

8242

Squares and Square Roots -Calculate

squares and square roots. Find the

principal and negative square roots.

Estimate square roots.

8066

8108

8255

Multiply Mixed Numbers-Learn and

apply steps to multiply fractions.

Convert mixed numbers to improper

fractions. Use shortcuts with

multiplication.

8067

8109

8247

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

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8241

(LCM).

Estimate by Rounding Decimals-Learn

and apply methods of estimation.

Estimate sums, differences, products,

and quotients.

8070

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8230

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.

8071

8113

8243

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

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8246

33 Sales Tax and Discount -Set up

proportions. Calculate discount, sale

price, sales tax, and total cost.

8074

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8248

Percent of Increase/Decrease-Learn to

calculate the amount of increase or

decrease. Set up proportions. Calculate

percent increase or decrease.

8075

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8249

Ratio, Rate, and Proportion-Understand

ratios, rates, and proportions. Use

proportions to solve word problems.

Find the unit rate.

8076

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8244

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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8119

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.

8120

8239

1Solve 2-Step Equations-Determine the

order of operations for two-step

equations. Solve two-step equations.

8079

8121

8240

Graph Sentences-Solve and graph

single and compound inequalities.

Reverse the sign when multiplying and

dividing by a negative number.

8080

8122

8264

Graph Linear Equations-Learn the steps

to graph equations. Find x- and y-

values. Write ordered pairs. Graph

equations on the coordinate plane.

8081

8123

8265

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

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8266

15 Lines and Angles-Identify angle

relationships. Calculate angle

measurements.

8083

8125

8250

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

Congruent/Similar Figures-Define

congruence and similarity. Identify

corresponding vertices, sides, and

angles. Find missing measures for

congruent and similar figures.

8085

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8252

Perimeter and Area-Learn the formulas

for the area of rectangles,

parallelograms, triangles, and

trapezoids. Calculate perimeter and

area.

8086

8128

8253

Circles: Circumference & Area-Learn

the characteristics of circles. Learn the

formulas for circumference and area.

Calculate circumference, diameter,

radius, and area.

8087

8129

8254

Surface Area: Prisms/Cylinders-

Calculate the surface area of cubes,

prisms, and cylinders. Investigate faces

and edges.

8089

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

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

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

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8257

4Circle Graphs-Determine central

angles. Use proportions to determine

percentages. Interpret graphs.

8094

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10 Histograms-Create frequency charts

and histograms. Interpret data from

histograms.

8095

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8258

39 Scatter Plots-Create scatter plots.

Determine correlation. Predict

correlation without plotting.

8096

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8261

49 Stem-and-Leaf Plots-Create stem-and-

leaf plots. Interpret plots. Find mode 8097

8135

and median. Use double plots. 8259

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.

8098

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8260

Probability of Events-Recognize

dependent and independent events.

Calculate the probability of single and

compound independent events.

Calculate the probability of dependent

events.

8099

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8262

Combinations and Permutations -

Determine expressions for permutations

and combinations. Learn factorial

notation. Calculate permutations and

combinations.

8100

8138

8263

Number Combinations -Review

strategies to solve a problem. Solve a

problem using all possibilities, a table,

and patterns.

8139

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

M8005 8th Mathnew

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