Desoto County Schools 2011-2012 Pacing Guide

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Desoto County Schools 2015-2016 Pacing Guide

Eighth Grade Math

1

st

Nine Weeks

Unit 1: Introduction and Problem Solving (approx. 2 weeks)

Topic Description

Determine the slope from a graph

Unit 2: Simplifying with Variables (approx. 3 weeks)

Topic Description

Create equations with one variable including those with one solution

Create equations with infinitely many solutions

Create equations with no solutions

Solve linear equations with rational number coefficients by combining like terms

Solve linear equations with rational number coefficients including the use of the distributive property

Unit 3: Graphs and Equations (approx. 3 weeks)

Topic Description

Create equations with one variable including those with one solution

Create equations with infinitely many solutions

Create equations with no solutions

Solve linear equations with rational number coefficients by combining like terms

Solve linear equations with rational number coefficients including the use of the distributive property

Recognize a function from a table

Recognize a function from a graph

Compare functions represented by tables, graphs, verbal descriptions, or equations

Distinguish between linear and non-linear functions in slope-intercept form

Provide examples of non-linear functions

Represent a function in table or graph form

Calculate rate of change between two or more points

Generate a function rule from a graph or table of values

Approximately 8 weeks is allocated for instruction and assessment above.

This allows one week of flexibility and to account for nine weeks tests.

State Standard

8.EE.5

State Standard

8.EE.7a

8.EE.7a

8.EE.7a

8.EE.7b

8.EE.7b

State Standard

8.EE.7a

8.EE.7a

8.EE.7a

8.EE.7b

8.EE.7b

8.F.1

8.F.1

8.F.2

8.F.3

8.F.3

8.F.4

8.F.4

8.F.4

Desoto County Schools 2015-2016 Pacing Guide

Eighth Grade Math

2

nd

Nine Weeks

Topic Description

Unit 4: Multiple Representations (approx. 2.5 weeks)

Produce an equation in slope-intercept form

Compare functions represented by tables, graphs, verbal descriptions, or equations

Represent a function in table or graph form

Calculate rate of change between two or more points

Generate a function rule from a graph or table of values

Unit 5: Systems of Equations (approx. 3 weeks)

Topic Description

State Standard

8.EE.6

8.F.2

8.F.4

8.F.4

8.F.4

State Standard

Solve linear equations with rational number coefficients by combining like terms

Solve linear equations with rational number coefficients including the use of the distributive property

Recognize that the solution to a system of linear equations is their point of intersection

Solve systems of equations that have one solution

Graph system of equations

Estimate the solution to a system of equations from a graph

Determine if there is one solution, many solutions, or no solution to the system of equations

8.EE.7b

8.EE.7b

8.EE.8a

8.EE.8b

8.EE.8b

8.EE.8b

8.EE.8b

Solve mathematical problems leading to two linear equations in two variables 8.EE.8c

Solve real-world problems leading to two linear equations in two variables

Unit 6: Transformations– Section 6.1 Only (approx. 2.5 weeks)

8.EE.8c

Topic Description State Standard

Define rotations, reflections, and translations

Identify rotations, reflections, and translations

Identify corresponding sides and corresponding angles

Use prime notation to describe an image after a translation, reflection, or rotation

Apply the concept of congruency

Write congruent statements when comparing two-dimensional figures

Describe a sequence of rotations, reflections, and/or translations that prove congruency

Use a scale factor to determine the coordinates of a figure

Model with coordinates to describe the effects of translation, rotation, and reflections on two-dimensional figures

Apply the concept of similarity to write similarity statements

Reason that a two-dimensional figure is similar to another if the second can be obtained by a sequence of rotations, reflections. Translation, or dilation

Describe the sequence of rotations, reflections, translations, or dilations that exhibits the similarity between two-dimensional figures using words and/or symbols

8.G.1

8.G.1

8.G.1

8.G.1

8.G.2

8.G.2

8.G.2

8.G.3

8.G.3

8.G.4

8.G.4

8.G.4

Approximately 8 weeks is allocated for instruction and assessment above.

This allows one week of flexibility and to account for semester exams.

Desoto County Schools 2015-2016 Pacing Guide

Eighth Grade Math

3

rd

Nine Weeks

Unit 6: Similarity – Section 6.2 Only (approx. 1 week)

Topic Description

Define rotations, reflections, and translations

Identify rotations, reflections, and translations

Identify corresponding sides and corresponding angles

Use prime notation to describe an image after a translation, reflection, or rotation

Apply the concept of congruency

Write congruent statements when comparing two-dimensional figures

Describe a sequence of rotations, reflections, and/or translations that prove congruency

Use a scale factor to determine the coordinates of a figure

Model with coordinates to describe the effects of translation, rotation, and reflections on two-dimensional figures

Apply the concept of similarity to write similarity statements

Reason that a two-dimensional figure is similar to another if the second can be obtained by a sequence of rotations, reflections. Translation, or dilation

Describe the sequence of rotations, reflections, translations, or dilations that exhibits the similarity between two-dimensional figures using words and/or symbols

Unit 7: Slope and Association (approx. 3.5 weeks)

Topic Description

Graph 𝑦 = 𝑚𝑥

Determine the slope from a graph

Compare similar information represented in graphs and equations using the rate of change

Produce an equation in slope-intercept form

Use similar triangles to explain slope

Compare functions represented by tables, graphs, verbal descriptions, or equations

Distinguish between linear and non-linear functions in slope-intercept form

Provide examples of non-linear functions

Construct a scatter plot for data comparing two variables

Interpret the data form a scatter plot

Identify patterns such as clustering, outliers, positive or negative association, linear association, and none linear association

Construct a line of best fit to represent the data in a scatter plot

Interpret the meaning of the slope and intercept of a linear equation in terms of the situation

Solve problems using the equation of a linear model

Interpret the data in a two-way table to recognize patterns

Construct a two-way table from data to determine a relationship between the variables

Use relative frequencies of the data to describe relationships (positive, negative, or no correlation)

Unit 8: Exponents and Functions (approx. 3 weeks)

Topic Description

Recall the properties of exponents

Apply the properties of integer exponents to produce equivalent numerical expressions.

Convert between standard form and scientific notation

Compare numbers written in scientific notation

Solve expressions where numbers are written in both decimal and scientific notation

Apply scientific notation to real-world problems to compare quantities and make sense about their relationships

Recognize a function from a table and a graph

Distinguish between linear and non-linear functions in slope-intercept form

Provide examples of non-linear functions

Explain verbally the interpretation of a graph

Construct a graph from a verbal representation

3

rd

Nine Weeks Continued

State Standard

8.G.1

8.G.1

8.G.1

8.G.1

8.G.2

8.G.2

8.G.2

8.G.3

8.G.3

8.G.4

8.G.4

8.G.4

8.SP.1

8.SP.2

8.SP.3

8.SP.3

8.SP.4

8.SP.4

8.SP.4

State Standard

8.EE.5

8.EE.5

8.EE.5

8.EE.6

8.EE.6

8.F.2

8.F.3

8.F.3

8.SP.1

8.SP.1

State Standard

8.EE.1

8.EE.1

8.EE.3

8.EE.3

8.EE.4

8.EE.4

8.F.1

8.F.3

8.F.3

8.F.5

8.F.5

Desoto County Schools 2015-2016 Pacing Guide

Eighth Grade Math

Unit 9: Angles – Section 9.1 Only (approx. 1 week)

Topic Description

Create a formula for the sum of the interior angles of a polygon

Create a formula for the measurement of one interior angle of a regular polygon

Create a method of determining the measurement of an exterior angle of a polygon

Recognize the relationship of the angles formed when two parallel lines are cut by a transversal

Determine the measurement of the angles formed by parallel lines that are cut by a transversal

Apply the angle-angle theorem to prove similar triangles

Approximately 8.5 weeks is allocated for instruction and assessment above.

This allows half a week of flexibility and to account for nine weeks tests.

State Standard

8.G.5

8.G.5

8.G.5

8.G.5

8.G.5

8.G.5

Desoto County Schools 2015-2016 Pacing Guide

Eighth Grade Math

4

th

Nine Weeks

Unit 9: The Pythagorean Theorem – Section 9.2 Only (approx. 2.5 weeks)

Topic Description State Standard

Distinguish between rational and irrational numbers

Write rational numbers as a decimal expansion

Convert a repeating decimal expansion into a rational number

Show informally that every number has a decimal expansion

Compare values of irrational numbers

Label the approximate location of irrational numbers on a number line.

Recall small perfect squares

Identify small perfect squares and square roots

Solve equations using small perfect square roots

Model a representation to prove the Pythagorean Theorem and its converse

Implement the Pythagorean Theorem to find the missing side lengths in right triangles

Apply knowledge of the Pythagorean Theorem to real-world situations involving two-dimensional figures

Apply knowledge of the Pythagorean Theorem to real-world situations involving three-dimensional figures

Calculate the distance between two points in a coordinate system using the Pythagorean Theorem

Unit 9: Surface Area and Volume (approx. 2 weeks)

Topic Description

Recall small perfect cubes

Identify small perfect cubes and cube roots

Solve equations using small perfect cube roots

Recall the formulas for volumes of cones, cylinders, and spheres

Determine and apply the appropriate formulas in order to solve real-world problems for a given shape

Determine the radii or height when given the volume of a cone, cylinder, or sphere

8.NS.1

8.NS.1

8.NS.1

8.NS.1

8.NS.2

8.NS.2

8.EE.2

8.EE.2

8.EE.2

8.G.6

8.G.7

8.G.7

8.G.7

8.G.8

State Standard

8.EE.2

8.EE.2

8.EE.2

8.G.9

8.G.9

8.G.9

Approximately 4.5 weeks is allocated for instruction and assessment above.

This allows 4.5 weeks of flexibility and to account for state tests and semester exams.

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