Number and Operations: Meaning, Notation, Place Value, and Comparisons
N.ME.08.03 Understand that in decimal form, rational numbers either terminate or eventually repeat, and that calculators truncate or round repeating decimals; locate rational numbers on the number line; know fraction forms of common repeating decimals, e.g., 0.1 (repeating) = 1/9; 0.3 (repeating) = 1/3.
N.ME.08.04 Understand that irrational numbers are those that cannot be expressed as the quotient of two integers, and cannot be represented by terminating or repeating decimals; approximate the position of familiar irrational numbers, e.g. √2,√3, ∏ , on the number line.
Number and Operation: Fluency with Operations and Estimation
N.FL.08.05 Estimate and solve problems with square roots and cube roots using calculators.
N.FL.08.06 Find square roots of perfect squares and approximate the square roots of non-perfect squares by locating between consecutive integers, e.g.,√130is between 11 and 12.
N.FL.08.11 Solve problems involving ratio units, such as miles per hour, dollars per pound, or persons per square mile.
Number and Operation: Number Relationships and Meaning of Operations
N.MR.08.07 Understand percent increase and percent decrease in both sum and product form, e.g., 3% increase of a quantity x is x + .03x = 1.03x.
N.MR.08.08 Solve problems involving percent increases and decreases.
N.MR.08.10 Calculate weighted averages such as course grades, consumer price indices, and sports ratings.
Marking Period 2
Math Pacing Guide Grade 8
Algebra: Patterns, Relations, Functions, and Change
A.PA.08.04 Use the vertical line test to determine if a graph represents a function in one variable.
Algebra: Formulas, Expressions, Equations and Inequalities
A.FO.08.10 Understand that to solve the equation f(x) = g(x) means to find all values of x for which the equation is true, e.g. , determine whether a given value, or values from a given set, is a solution of an equation (0 is a solution of 3x2 + 2 = 4x + 2, but 1 is not a solution).
A.FO.08.13 Set up and solve applied problems involving simultaneous linear equations and linear inequalities.
A.FO.08.11 Solve simultaneous linear equations in two variables by graphing, by substitution, and by linear combination; estimate solutions using graphs; include some examples with no solutions and infinitely many solutions.
A.FO.08.12 Solve linear inequalities in one and two variables, and graph the solution sets.
A.FO.08.07 Recognize and apply the common formulas:
(a + b)2 = a2 + 2ab + b2
(a - b)2 = a2 - 2ab + b2
(a + b) (a - b) = a2 - b2
Number and Operations: Meaning, Notation, Place Value, and Comparisons
N.ME.08.02 Understand meanings for zero and negative integer exponents.
Marking Period 3
Math Pacing Guide Grade8
Algebra: Representation
A.RP.08.01 Identify and represent linear functions, quadratic functions, and other simple functions including inversely proportional relationships (y = k/x); cubics (y = ax3); roots (y = √x); and exponentials (y = ax, a > 0); using tables, graphs, and equations.
A.RP.08.05 Relate quadratic functions in factored form and vertex form to their graphs, and vice versa; in particular, note that solutions of a quadratic equation are the x-intercepts of the corresponding quadratic function.
A.RP.08.06 Graph factorable quadratic functions, finding where the graph intersects the x-axis and the coordinates of the vertex; use words "parabola" and "roots"; include functions in vertex form and those with leading coefficient -1,
e.g. y = x2 - 36, y = (x - 2)2 - 9; y = -x2 ; y = - (x - 3)2 .
Algebra: Patterns, Relations, Functions, and Change
A.PA.08.02 For basic functions, e.g., simple quadratics, direct and indirect variation, and population growth, describe how changes in one variable affect the others.
A.PA.08.03 Recognize basic functions in problem context, e.g., area of a circle is ∏r2 , volume of a sphere is 4/3 Õr3 , and represent them using tables, graphs, and formulas.
Number and Operation: Fluency with Operations and Estimation
N.FL.08.09 Solve problems involving compound interest or multiple discounts.
Geometry: Spatial Reasoning and Geometric Modeling
G.SR.08.08 Sketch a variety of two-dimensional representations of three-dimensional solids including orthogonal views (top, front, and side), picture views (projective or isometric), and nets; use such two-dimensional representations to help solve problems.
Marking Period 4
Math Pacing Guide Grade 8
Geometry: Location and Spatial Relationships
G.LO.08.02 Find the distance between two points on the coordinate plane using the distance formula; recognize that the distance formula is an application of the Pythagorean Theorem.
Geometry: Geometric Shape, Properties, and Mathematical Arguments
G.GS.08.01 Understand at least one proof of the Pythagorean Theorem; use the Pythagorean Theorem and its converse to solve applied problems including perimeter, area, and volume problems.
Number and Operations: Meaning, Notation, Place Value, and Comparisons
N.ME.08.01 Understand the meaning of a square root of a number and its connection to the square whose area is the number; understand the meaning of a cube root and its connection to the volume of a cube.
Geometry:
Transformation and Symmetry
G.TR.08.09 Understand the definition of a dilation from a point in the plane, and relate it to the similar polygons.
G.TR.0810 Understand and use reflective and rotational symmetries of two-dimensional shapes and relate them to transformations to solve problems.
Geometry: Spatial Reasoning and Geometric Modeling
G.SR.08.03 Understand the definition of a circle; know and use the formulas for circumference and area of a circle to solve problems.
G.SR.08.04 Find area and perimeter of complex figures by sub-dividing them into basic shapes (quadrilaterals, triangles, circles).
G.SR.08.05 Solve applied problems involving areas of triangles, quadrilaterals, and circles.
G.SR.08.06 Know the volume formulas for generalized cylinders ((area of base) x height), generalized cones and pyramids (1/3 (area of base) x height), and spheres (4/3 Õ (radius)3 ) and apply them to solve problems.
G.SR.08.07 Understand the concept of surface area, and find the surface area of prisms, cones, spheres, pyramids, and cylinders.
Data and Probability: Data Interpretation and Analysis
D.AN.08.01 Determine which measure of central tendency (mean, median, mode) best represents a data set e.g., salaries, home prices, for answering certain questions; justify the choice made.
D.AN.08.02 Recognize practices of collecting and displaying data that may bias the presentation or analysis.
Data and Probability: Probability
D.PR.08.03 Compute relative frequencies from a table of experimental results for a repeated event. Interpret the results using relationship of probability to relative frequency.
D.PR.08.04 Apply the Basic Counting Principle to find total number of outcomes possible for independent and dependent events, and calculate the probabilities using organized lists or tree diagrams.
D.PR.08.06 Understand the difference between independent and dependent events, and recognize common misconceptions involving probability, e.g., Alice rolls a 6 on a die three times in a row; she is just as likely to roll a 6 on the fourth roll as she was on any previous roll.
D.PR.08.05 Find and/or compare the theoretical probability, the experimental probability, and/or the relative frequency of a given event.
8th Grade
Social Studies Pacing Guide
Historical Perspective
Geographical Perspective
Economic Perspective
Civic Perspective
Public Discourse Decision Making
Inquiry Strands
Marking Period
1
1690-1791
-Development of Revolutionary War Ideas
-Intolerable Acts
-Thomas Paine
-John Locke
-Declaration of
Independence
-Documents of the New Nation
-Articles of
Confederation
-United States
Constitution
-Bill of Rights
Information movement within world regions and between regions.
Major economic and political connections between the United States and different world regions and the causes and consequences of these connections.
Ideas expressed in the Declaration of Independence and the origins of those ideas.
Limiting the powers of government and how the rule of law protects individual rights and serves the common good as established by the U.S. Constitution.
The Constitution is maintained as the supreme law of the land.
Interpret social science information about early American history using a variety of primary and secondary sources.
Marking Period
2
1792-1848
Technology and Mechanization
-Interchangeable parts
-Cotton Gin
-Lowell Textiles
-McCormick Reaper
Visions for the New Nation
-Jefferson Hamilton
Debate
-National Bank
-Washington's Farewell
Address
Expansion
-Louisiana Purchase
-Migration West
-Indian Removal Act
-Responses of Native Am.
-Texas Annexnation
-Mexican War
Timelines describe the major factors that characterize people and events that shaped the history of the United States.
Historical knowledge is tentative and subject to change by describing interpretations of the past that have been revised when new information is uncovered.
People, goods, services, and information move within world regions and between regions.
Tarriffs
Factories replace workshops
Machines vs. muscl
Children as a factor of production
United States government regulating commerce as stated in the United States Constitution.
Supply and demand, prices incentives, profits, business practices, and a willingness to take a risk enables an entrepreneur to operate in the American economy.
Write an expository essay that relates to multiple pieces of literature that: states a thesis, supports the thesis with evidence from the selections, is organized, and contains relevant details
Alternative Product:
Research Report
Persuasive Piece
Create an ad campaign that incorporates: visual aids, emotional appeal (or other propaganda techniques), credible support, and slogans
Alternative Product:
Brochure
Second 9 Weeks
Fictional Story
Invent a science fiction story to entertain using: personification, imagery, and transitional language
Alternative Products:
Science Fiction Play
Science Fiction Storyboard
Historical Fiction
Write a historical journal or diary that incorporates: organization - in chronological order or order of importance, illustrations, marginal notes/annotations, credible evidence, and replication of an author’s style
Alternative Products:
Memoir
Eulogy
Poetry
Creat a haiku poem to entertain through the use of-creative word choice, organization, conventions, and incorporating theme
Third 9 Weeks
Historical Fiction
Write a historical simulated memoir developing: narrator credibility, rising/falling action, conflict, and transitional language
Alternative Products:
Historical Journal
Historical Biography
Simulated Autobiography
Research Piece
Develop a research project using: formulated research questions, multiple resources, and arguments/counterarguments,
And applying: compare/contrast, cause/effect, and/or sequencing
Poetry
Create a free verse poem to entertain through the use of: creative word choices, organization, conventions, and theme.
Fourth 9 Weeks
Realistic Fiction
Create a realistic fiction play employing the elements of: characterization, plot, organization, and the replication of an author’s style
Alternative Products:
News Report
Story
Persuasive Piece
Compose a position paper that involves: posing questions, arguments/counterarguments, strong opinion, and supporting evidence
Alternative Product:
Ad Campaign
Poetry
Create a ballad poem to entertain using: creative word choices, organization, conventions, and theme
Untitled Document
Crusaver Credit Union Opens
The Crusaver Credit Union opens during lunch. Faith Formation classes start
Faith Formation classes start today. Commission Meeting
School Commission Meeting 6:30pm in the library.
