eighth grade go math! · module 2 – exponents and scientific notation day lesson teacher manual...

Eighth Grade

Go Math!

Classroom Blueprint

Eighth Grade Go Math!

MSBSD Curriculum Map & Pacing Guide Document 1



Quarter 1 3

Unit 1: Real Numbers, Exponents, and Scientific Notation 3

Module 1- Real Numbers 3

Module 2 – Exponents and Scientific Notation 3

Unit 2: Proportional and Nonproportional Relationships and Functions 3

Module 3- Proportional Relationships 3

Module 4- Nonproportional Relationships 4

Quarter 2 4

Module 5- Writing Linear Equations 4

Module 6- Functions 5

Unit 3: Solving Equations and Systems of Equations 5

Module 7- Solving Linear Equations 5

Module 8- Solving Systems of Linear Equations 5

Quarter 3 6

Unit 4: Transformational Geometry 6

Module 9- Transformations and Congruence 6

Module 10- Transformations and Similarity 7

Unit 5: Measurement Geometry 8

Module 11- Angle Relationships in Parallel Lines and Triangles 8

Quarter 4 9

Module 12- The Pythagorean Theorem 9

Module 13- Volume 9

Unit 6: Statistics 10

Module 14- Scatter Plots 10

Module 15- Two-Way Tables 10

Vocabulary 11

Table of Contents



Quarter 1 Unit 1: Real Numbers, Exponents, and Scientific Notation Module 1- Real Numbers Day(s) Lesson Teacher Manual Materials Objective(s)

State Standard(s)

Assessment(s)

1-2 Assess Review Test Answers on page CC15-18

Pre-Assessment Review Review Test Online Available

3 1.1 Rational and Irrational Numbers page 7

Students will be able to (SWBAT) recognize a number as rational or irrational by looking at its fraction or decimal form.

8.NS.1, 8.NS.2, 8.EE.2

3 1.2 Sets of Real Numbers page 15 SWBAT describe relationships between sets of real numbers.

8.NS.1

2 1.3 Ordering Real Numbers page 21 SWBAT estimate the value of irrational numbers.

8.NS.2 Ready to Go on? Page 27

1 Assess Module 1 Assessment Readiness page 28

Module 1 available online

Module 2 – Exponents and Scientific Notation Day Lesson Teacher Manual Materials Objective(s)

State Standard(s)

Assessment(s)

3 2.1 Integer Exponents page 33 SWBAT know and apply the properties of integers.

8.EE.1

2 2.2 Scientific Notation with Positive Powers of 10 page 39

SWBAT convert large numbers to scientific notation.

8.EE.3

2 2.3 Scientific Notation with Negative Powers of 10 page 45

SWBAT convert small numbers to scientific notation.

8.EE.3

2 2.4 Operations with Scientific Notation page 51

SWBAT perform operations in scientific notation

8.EE.4 Ready to Go on? Page 57

2 Review Study Guide Review page 59

1 Assess Unit 1 choice of assessments including performance assessments

Unit 1 available online

Unit 2: Proportional and Nonproportional Relationships and Functions Module 3- Proportional Relationships

Day Lesson Teacher Manual Materials Objective(s) State

Standard(s) Assessment(s)

1 3.1 Representing Proportional Relationships page 71

SWBAT represent proportional relationships using

8.EE.6



tables, equations, and graphs.

1 3.2 Rate of Change and Slope page 77

SWBAT find a rate of change.

8.F.4

1 3.3 Interpreting the Unit Rate as Slope page 83

SWBAT compare two different proportional relationships represented in different ways.


1 Assess Module 3 assessment readiness page 90

Available online

Module 4- Nonproportional Relationships Day Lesson Teacher Manual Materials Objective(s)

State Standard(s)

Assessment(s)

2 4.1 Representing Linear Nonproportional Relationships page 95

SWBAT use a linear equation to generate ordered pairs.

8.F.3

2 4.2 Determining Slope and y-intercept page 101

SWBAT identify the slope and y-intercept of a line

8.EE.6 8.F.4

2 4.3 Graphing Linear Nonproportional Relationships using Slope and y-intercepts page 107

SWBAT generate a line when given slope and a y-intercept

8.F.3 8.F.4

2 4.4 Proportional and Nonproportional Situations page 113

SWBAT use the value of the y-intercept to determine if an equation is proportional or nonproportional

8.F.2 8.F.3 8.F.4

Ready to Go on? Page 121


Available online

Quarter 2 Module 5- Writing Linear Equations



1 5.1 Writing Linear Equations From Situations and Graphs page 127

SWBAT write a linear equation given a graph or a description

8.F.4

1 5.2 Writing Linear Equations From a Table page 133

SWBAT write a linear equation given a table

8.F.4

1 5.3 Linear Relationships and Bivariate Data page 139

SWBAT contrast linear and nonlinear data

8.SP.1 8.SP.2 8.SP.3





Available online

Module 6- Functions Day Lesson Teacher Manual Materials Objective(s)

State Standard(s)

Assessment(s)

1 6.1 Identifying and Representing Functions page 153

SWBAT determine whether a relationship is a function or not

8.F.1

1 6.2 Describing Functions page 161 SWBAT determine if a function is linear

8.F.1 8.F.3

1 6.3 Comparing Functions page 167 SWBAT compare functions using tables, graphs, and equations

8.EE.5 8.F.2 8.F.4

1 6.4 Analyzing Graphs page 173 SWBAT interpret and sketch graphs given a description

8.F.5 Ready to Go on? Page 179



Available online

Unit 3: Solving Equations and Systems of Equations Module 7- Solving Linear Equations



1 7.1 Equations with a variable on both sides page 197

SWBAT solve equations with a variable on both sides

8.EE.7

2 7.2 Equations with Rational numbers page 203

SWBAT solve equations with Rational numbers

8.EE.7

2 7.3 Equations with the Distributive Property page 209

SWBAT solve equations with the Distributive Property

8.EE.7

2 7.4 Equations with many solutions or no solution page 215

SWBAT solve equations with many solutions or no solution



Available online

Module 8- Solving Systems of Linear Equations Day Lesson Teacher Manual Materials Objective(s)

State Standard(s)

Assessment(s)

2 8.1 Solving Systems of Linear SWBAT solve Systems 8.EE.8



Equations by graphing page 227 of Linear Equations by graphing

2 8.2 Solving Systems by Substitution page 235

SWBAT solve systems by Substitution

8.EE.8

2 8.3 Solving Systems by Elimination page 243

SWBAT solve systems by Elimination

8.EE.8

2 8.4 Solving Systems by Elimination with Multiplication page 251

SWBAT solve systems by Elimination with Multiplication

8.EE.8

2 8.5 Solving Special Systems page 259

SWBAT solve special Systems




Available online

Quarter 3 Unit 4: Transformational Geometry Module 9- Transformations and Congruence



2 9.1 Properties of Translations page 279

SWBAT verify experimentally the properties of translations and describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

8.G.1 8.G.3

2 9.2 Properties of Reflections page 285


8.G.1 8.G.3

2 9.3 Properties of Rotations page 291 SWBAT verify experimentally the

8.G.1 8.G.3



properties of translations and describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

2 9.4 Algebraic Representations of Transformations page 297


8.G.3

2 9.5 Congruent Figures page 303 SWBAT understand that a two-dimensional figure is congruent to another through sequence of rotations, reflections, and translations.

8.G.2 Ready to Go on? Page 309


Available online

Module 10- Transformations and Similarity Day Lesson Teacher Manual Materials Objective(s)

State Standard(s)

Assessment(s)

2 10.1 Properties of Dilations page 315 SWBAT verify experimentally the properties of translations and describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates, and understand that two-dimensional figures are similar to another through sequence of

8.G.3 8.G.4



rotations, reflections, translations, and dilations.

2 10.2 Algebraic Representations of Dilations page 321


8.G.3

2 10.3 Similar Figures page 327 SWBAT understand that two-dimensional figures are similar to another through sequence of rotations, reflections, translations, and dilations.




Available online

Unit 5: Measurement Geometry Module 11- Angle Relationships in Parallel Lines and Triangles



2 11.1 Parallel Lines Cut by a Transversal page 347

SWBAT use informal arguments to establish facts about the angles created from parallel lines.

8.G.5

2 11.2 Angle Theorems for Triangles page 353

SWBAT solve equations with the Distributive Property and use informal arguments to establish facts about the angles created from parallel lines.

8.EE.7 8.G.5

2 11.3 Angle- Angle Similarity page 361 SWBAT represent proportional

8.EE.6 8.EE.7




relationships using tables, equations, and graphs, solve equations with the Distributive Property, and use informal arguments to establish facts about the angles created from parallel lines.

8.G.5

1 Review Module 11 Assessment Readiness page 370

Available online

Quarter 4 Module 12- The Pythagorean Theorem



2 12.1 The Pythagorean Theorem SWBAT explain and use the Pythagorean Theorem to determine unknown sides in a right triangle

8.G.6 8.G.7

2 12.2 Converse of the Pythagorean Theorem page 375

SWBAT explain the Pythagorean Theorem.

8.G.6

1 12.3 Distance between Two Points page 387

SWBAT apply the Pythagorean Theorem to find the distance between two points



Available online

Module 13- Volume



2 13.1 Volume of Cylinders page 399 SWBAT know the formula for the volumes of cones, cylinders, and spheres and use them to solve real-world problems.

8.G.9

2 13.2 Volume of Cones page 405 SWBAT know the formula for the volumes of cones, cylinders, and spheres and use them to solve real-world

8.G.9



problems.

2 13.3 Volume of Spheres page 411 SWBAT know the formula for the volumes of cones, cylinders, and spheres and use them to solve real-world problems.




Available online

Unit 6: Statistics Module 14- Scatter Plots



3 14.1 Scatter Plots and Association page 433

SWBAT construct and interpret scatterplots

8.SP.1

3 14.2 Trend Lines and Predictions page 439

SWBAT construct and interpret scatterplots, know that straight lines are used to model relationships between two quantities, and use the equation of a linear model to solve problems.

8.SP.1 8.SP.2 8.SP.3



Available online

Module 15- Two-Way Tables



2 15.1 Two-Way Frequency Tables page 451

SWBAT use two-way tables to find relative frequencies.

8.SP.4

3 15.2 Two-Way Relative Frequency Tables page 457

SWBAT use two-way tables to find relative frequencies.

8.SP.4 Ready to Go on? Page 465

1 Review Study Guide Review on page 467


Available online



Vocabulary Module

1 Module

2 Module

3 Module

4 Module

5 Module

6 Module

7 Module

8 Module

9 Module

10 Module

11 Module

12 Module

13 Module

14 Module

15

Cube root Power Constant of proportionality

Linear equation

Bivariate data

Function Review No new vocab

Solution of a system of equations

Center of rotation

Center of dilation

Alternate exterior angles

Hypotenuse

Cone Cluster Conditional relative

Irrational numbers

Rational number

Proportional relationship

Slope-intercept form

Nonlinear relationships

Input System of equations

Congruent Dilation Alternate interior angles

Legs Cylinder Outlier Frequency

Perfect cube

Real numbers

Rate of change

y-intercept

Linear function

Image Enlargement

Corresponding angles

Theorem sphere Scatter plot

Joint relative frequency

Perfect square

Scientific Notation

slope Output Line of reflection

Reduction Exterior angle

vertex Trend line

Marginal relative frequency

Principal square root

Whole number

Preimage Scale factor

Interior angle

Relative frequency

Rational number

Reflection similar Remote interior angle

Two-way table

Repeating decimal

Rotation Same-side interior angles

Two-way relative frequency

Square root Transformation

Similar

Terminating decimal

translation transversal

eighth grade go math! · module 2 – exponents and scientific notation day lesson teacher manual...

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