SUBJECT: MATH GRADE: 8 Quarter 1 Quarter

HPS Scope Sequence Last Revised June 2012

SUBJECT: MATH GRADE: 8

National Common Core Standard Code & Language

Michigan Standard (GLCE) Code & Language

What this Standard means:

Lessons or Days Per Standard

143

Examples of Formative

Assessments

Vocabulary

Students will . . . .

Quarter 1

Lessons this Quarter

Number and Numeration

48

8.EE.1 Know and apply the properties N.ME.08.02 Understand meanings for understand the meaning of zero

8

End of Unit Tests, rational number

of integer exponents to generate equivalent numerical expressions.

zero and negative integer exponents.

and negative number exponents (power).

Online Self Check irrational number Quizzes and Tests, measures of Verbal Explanations variation and

N.MR.08.10 Calculate weighted averages such as course grades, consumer price indices, and sports ratings.

solve problems involving different amounts of materials.

central trendency

10

End of Unit Tests, outcomes

Online Self Check Quizzes and Tests,

simple event

Verbal Explanations probability

sample space

therotical

8.NS.1 Understand that every

N.ME.08.03 Understand that in decimal write fractions as decimals that

number has a decimal expansion; for form, rational numbers either terminate end or repeat.

rational numbers show that the

or eventually repeat, and that calculators

decimal expansion repeats eventually, truncate or round repeating decimals;

30

End of Unit Tests, probability

Online Self Check experiemental

Quizzes and Tests, probability Verbal Explanations solution

and convert a decimal expansion

locate rational numbers on the number

system of

which repeats eventually into a

line; know fraction forms of common

equations

rational number.

repeating decimals, e.g., 0.1= 1/9 ; 0.3=

substitution

1/3 .

linear

Quarter 2

Page 1 of 8

Lessons this Quarter

HPS Scope Sequence Last Revised June 2012

SUBJECT: MATH GRADE: 8

National Common Core Standard Code & Language

Michigan Standard (GLCE) Code & Language

What this Standard means:

Lessons or Days Per Standard

143

Examples of Formative

Assessments

Vocabulary

Students will . . . .

Number and Numeration

N/A

N.FL.08.11 Solve problems involving solve problems involving

ratio units, such as miles per hour,

interest, charges to a credit

dollars per pound, or persons per square card, and sale discounts.

mile.*

N/A

N.MR.08.08 Solve problems involving solve problems showing how

percent increases and decreases.

the amount has increased or

decreased from the original

amount (population growth,

college tuition).

48

End of Unit Tests, cross products

Online Self Check percent equation

Quizzes and Tests, discount

5

Verbal Explanations simple interest

percent of change

End of Unit Tests, percent of

Online Self Check increase/ decrease

8

Quizzes and Tests, real numbers Verbal Explanations rational/irrational

numbers

Page 2 of 8

HPS Scope Sequence Last Revised June 2012

SUBJECT: MATH GRADE: 8

National Common Core Standard Code & Language

Michigan Standard (GLCE) Code & Language

What this Standard means:

Lessons or Days Per Standard

143

Examples of Formative

Assessments

Vocabulary

Students will . . . .

8.EE.2 Use square root and cube N.FL.08.06 Find square roots of perfect understand what it means when

End of Unit Tests,

root symbals to represent solutions to squares and approximate the square using the key on the

equations of the form x^2=p and

roots of non-perfect squares by locating calculator gives a decimal or

x^3=p, where p is a positive rational between consecutive integers, e.g., 130 whole number.

Online Self Check Quizzes and Tests, Verbal Explanations

number. Evaluate square roots of is between 11 and 12.

10

small perfect squares and cube roots

of small perfect cubes. Know that the

square root of 2 is irrational.

Data and Probability

N/A

D.AN.08.01 Determine which measure of when to use mean, median and central tendency (mean, median, mode) best mode to best represent represents a data set, e.g., salaries, home information. prices, for answering certain questions;

justify the choice made.

5

End of Unit Tests,

Online Self Check

Quizzes and Tests,

Verbal Explanations

N/A

D.PR.08.03 Compute relative frequencies find the relative frequency from

10

End of Unit Tests,

from a table of experimental results for a a given table of results. repeated event. Interpret the results using

Online Self Check Quizzes and Tests,

relationship of probability to relative

Verbal Explanations,

frequency.*

Experiments and

Games

Page 3 of 8

HPS Scope Sequence Last Revised June 2012

SUBJECT: MATH GRADE: 8

National Common Core Standard Code & Language

Michigan Standard (GLCE) Code & Language

What this Standard means:

Lessons or Days Per Standard

143

Examples of Formative

Assessments

Vocabulary

Students will . . . .

N/A

D.PR.08.05 Find and/or compare the

compare what actually happens

theoretical probability, the experimental

to what should happen in a

probability, and/or the relative frequency of a probability experiment.

given event.*

End of Unit Tests,

Online Self Check

10

Quizzes and Tests, Verbal Explanations,

Experiments and

Games

Geometry

8.G.6 Explain a proof of the Pythagorean Theorem and its converse. 8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

Quarter 3

G.GS.08.01 Understand at least one proof of use the Pythagorean Theorem

the Pythagorean Theorem; use the

(a2 + b2 = c2)

Pythagorean Theorem and its converse to

solve applied problems including perimeter,

area, and volume problems.

Lessons this Quarter

47

10

End of Unit Tests, legs

Online Self Check hypotenuse

Quizzes and Tests, Pythagorean

Verbal Explanations, Theorem

Projects

solving a right

triange

converse

Distance Formula

Page 4 of 8

HPS Scope Sequence Last Revised June 2012

SUBJECT: MATH GRADE: 8

National Common Core Standard Code & Language

Michigan Standard (GLCE) Code & Language

What this Standard means:

Lessons or Days Per Standard

143

Examples of Formative

Assessments

Vocabulary

Students will . . . .

8.G.8 Apply the Pythagorean

G.LO.08.02 Find the distance between two find the distance of 2 points on

Theorem to find the distance between points on the coordinate plane using the

a grid.

two points in a coordinate system.

distance formula; recognize that the distance

formula is an application of the Pythagorean

Theorem.

Algebra

8.F.1 Understand that a function is a A.FO.08.10 Understand that to solve the understand if a number is a

rule that assigns to each input exactly equation f(x) = g(x) means to find all values solution to an equation.

one output. The graph of afunction is the set of ordered pairs consisting of an input and the corresponding output.

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).

8.EE.8 Analyze and solve pairs of simultaneous linear equations.

N/A

A.FO.08.11 Solve simultaneous linear equations in two variables by graphing, by substitution, and by linear combination; estimate solutions using graphs; include 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.

find a common solution to two linear equations using graphs.

find a common solution to inequalities using graphs.

10

End of Unit Tests, midpoint

Online Self Check midpoint formula

Quizzes and Tests, function Verbal Explanations, vertical line test Projects

5

End of Unit Tests,

Online Self Check

Quizzes and Tests,

Verbal Explanations

10

End of Unit Tests,

Online Self Check

Quizzes and Tests,

Verbal

Explanations

10

End of Unit Tests,

Online Self Check

Quizzes and Tests,

Verbal

Explanations

Page 5 of 8

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