Download Vance County Schools Testing Information Achievement Levels

Vance County Schools
8th Grade Math
Testing Information
Domain
Weight Distributions for 8th Grade Math
The Number System
2-7%
Expressions & Equations
27-32%
Functions
22-27%
Geometry
20-25%
Statistics and Probability
15-20%
Achievement Levels
8th
Grade
I

33%
II 34-51%
III 52-57%
IV 58-83%
V

84%
In addition to the content standards, the CCSS includes eight Standards for Mathematical Practice that cross domains,
grade levels, and high school courses. Assessment items written for specific content standards will, as much as possible,
also link to one or more of the mathematical practices.
Vance County Schools
8th Grade Math PACING GUIDE 2015-2016
The pacing guide should be used along with the Common Core State Standards for Math and the NCDPI unpacking document
Unit 1: One-Variable Linear Equations – 12 Days
Standards: 8.EE.7a, b
Learning Targets
 Identify terms of expressions
 Model and prove the properties of equalities and
properties of operations (e.g. distributive property)
 Write equations from word problems
 Transform an equation by utilizing the distributive
property
 Transform and simplify an equation by combining
like terms
 Transform and simplify an equation with variable
on both sides
 Solve multi-step equation and justify each step;
with rational and integer coefficients
Vocabulary
1st Nine Weeks
Sample Questions
* The perimeter of the rectangle below is 48 feet.
Expression
Equation
Constant
What is the value of x? 8.EE.7b
Variable
* What is the solution to the equation below? 8.EE.7a
0.5(9x + 18) = –1.5(5x) – 2(3x + 4.5)
Coefficient
Distributive
Property
* Three times the difference of a number, x, and fourteen is
six times the sum of the same number, x, and twelve. What
is the value of x? 8.EE.7b
Like Terms
* What is the solution to the equation below? 8.EE.7a
Substitution
* A moving company offers two price plans.
Lessons (Courtesy of EngageNY)
 Writing and Solving Linear Equations
(Module 4: Lessons 1-9)
Solution

The first plan charges a flat rate of $39.95 plus $0.12
per mile driven.
 The second plans charges a flat rate of $19.95 plus
$0.28 per mile driven.
How many miles must the truck be driven for the two plans
to cost the same? 8.EE.7b
Unit 2: Exponents and Scientific Notation– 12 Days
Standards: 8.EE.1, 8.EE.3, 8.EE.4
Learning Targets
 Model and explain what positive and negative
exponents mean
 Prove and explain the laws of exponents with
positive, negative and zero exponents; especially
raising powers and zero exponents
 Explain how to write numbers in correct scientific
notation and explain why the first factor should be
between -10 and 10
 Model and explain how numbers can be written in
scientific notation, converting between standard
and scientific notation form
 Order and compare numbers in scientific form
 Give real world examples of very large and very
small quantities and use scientific notation to
describe the quantities
 Compare and contrast the size and magnitude of
amounts using different units and justify the unit
chosen in contextual situations
1st Nine Weeks
Vocabulary
Sample Questions
Laws of Exponents
* A baby hummingbird weighed about 4.4 × 10–3 pounds. A
baby eastern bluebird weighed about 6.2 × 10–2 pounds.
About how many times heavier was the baby eastern
bluebird than the baby hummingbird? 8.EE.3
Power
Perfect Squares
Perfect Cubes
* What is the value of the expression (4 × 103)(5.6 × 105)?
8.EE.4
Root
* What is the value of the expression (33)2 ÷ 34? 8.EE.1
Square Root
Cube Root
* What is the value of (9.7 x 10–3) + (1.3 x 10–3)? 8.EE.4
Magnitute
Scientific Notation
*One of the viruses that causes the common cold measures
2.5 × 10–6 m. What is this measurement written in standard
form? 8.EE.3
Standard Form
* What is the product of 3.6 × 106 and 900,000,000
expressed in scientific notation? 8.EE.4
* What is the value of (32) × (2–2)2? 8.EE.1
Lessons (Courtesy of EngageNY)
 Exponential Notation and Properties of Integer
Exponents (Mod1:Lessons 1-6)
 Magnitude and Scientific Notation
(Mod1:Lessons 9-13)
* Lake Erie has a surface area of about 9.9 x 103 square
miles. Lake Michigan has a surface area of about 2.2 x
104 square miles. About how many times larger is the
surface area of Lake Michigan than the surface area of
Lake Erie? 8.EE.3
Unit 3: Rational and Irrational Numbers – 10 Days
1st Nine Weeks
Standards: 8.NS.1, 8.NS.2, 8.EE.2
Learning Targets
 Make a graphic representation to show that
 natural numbers are a subset of whole numbers
 whole numbers are a subset of integers
 integers are a part of rational numbers
 rational and irrational numbers make up the set
of real numbers
 Divide fractions to show that all rational numbers
either repeat or terminate
 Change rational decimals to fractions
 Use long division to divide terminating decimals by
factors to prove that terminating decimals have a
prime factor of 2 or 5
 Truncate decimals to get closer approximations
and to order decimals
 Compare and order rational and irrational numbers;
identify on the number line
 Model perfect square roots; prove that non-perfect
square roots are irrational
 Explain why positive and negative numbers
squared are positive but square roots can be
positive or negative
 Recognize that squaring and taking the square
root, cubing and taking the cube root, are inverse
operations
Vocabulary
Sample Questions/Clarifications
Real Numbers
* Which letter is located at approximately
number line below? 8.NS.2
Irrational Numbers
Rational Numbers
Integers
* What is the value of
 Square and Cube Roots (Mod7:Lessons 1-5)
 Decimal Expansions of Numbers (Mod1:Lessons 6-14)
? 8.EE.2
Whole Numbers
*
8.NS.1
Natural Numbers
Radical
Radicand
Terminating
Decimals
Repeating Decimals
Truncate
* Jackson is comparing two squares. The first square has
an area of 64 cm2. The second square has an area of 121
cm2. What is the difference in the perimeters of the two
squares? 8.EE.2
* Which fraction is equivalent to
* What is the value of
Lessons (Courtesy of EngageNY)
on the
? 8.NS.1
? 8.EE.2
*Sam stores his coin collection in a cube-shaped box that
has a volume of 27 in.3 He moves the coins into a larger
cube-shaped box that has a volume of 729 in.3 What is the
difference between the edge lengths of the two boxes?
8.EE.2
Unit 4: Pythagorean Theorem & Geometric Formulas –17 days
Standards: 8.G.6, 8.G.7, 8.G.8, 8.G.9
Learning Targets
 Use the Pythagorean Theorem to find unknown
side lengths of right triangles
 Prove, model and explain the Pythagorean
 Solve volume and surface area problems; apply
Sample Questions/Clarification
Right Triangle
* What is the approximate volume of
the sphere below? Area? 8.G.9
Hypotenuse
Legs
Pythagorean
Theorem
Pythagorean
Triple
figures on the coordinate plane
 Compare and contrast characteristics of cones,
cylinders, and spheres and their formulas
 Describe, prove and solve problems using the
* Wendy has a rectangular flower garden that measures 20ft
long and 10ft wide. She wants to construct a diagonal
walkway through her garden. What is the approximate
length of the walkway? 8.G.7
* Rectangle TUVW is shown to the
right.
Pythagorean Theorem if applicable
 Find the perimeter and area or two-dimensional
Will extend into the 2nd Nine Weeks
Vocabulary
Theorem
 Identify Pythagorean triples
1st Nine Weeks
Cone
Cylinder
Sphere
What is the approximate length of the
diagonal of rectangle TUVW? 8.G.8
* In the figure shown below, one square has side lengths
of a units and the other square has side lengths
of b units. The squares are divided into two triangles with a
hypotenuse of c units. The pieces are rearranged to form a
square with side length c.
formulas for cones, cylinders and spheres
Radius
Diameter
Lessons (Courtesy of EngageNY)
 Volume (Module 5: Lessons 9-11)
 Applications of Radical Roots (Mod7: Lessons 19-23)
 The Pythagorean Theorem
(Module 2: Lessons 15-16)
(Module 3: Lessons 13-14)
Additional lessons on Pythagorean can be implemented with linear
systems of equations in later units.
Volume
Height
Pi
Which equation represents the relationship among the
values of a, b, and c? 8.G.6