east hanover township school district 6-8 mathematics curriculum · 2013-07-23 · 8.ee.7 to...

East Hanover Township School District

6-8 Mathematics Curriculum

Written by: Karla Hesse, Rosy Rinsky, Christine Gilmore, Angela Klein,

Lisa Tremont, Laurie Cacciabeve, and Samantha Sorrentino

Board Approved: July 17, 2013

East Hanover Middle School Math Curriculum Pacing Guide For Grade: 6

Topic Days Allotted

1. Number Properties and Decimals 18

2. Expressions and Equations 24

3. Number Theory 18

4. Fraction Operations 16

5. Ratios and Percents 22

6. Integers and Rational Numbers 18

7. Coordinate Plane 16

8. Geometry and Measurement 18

9. Data and Graphs 22

Total Number of Days 172

East Hanover Middle School Math Curriculum Grade: 6 Chapter 1: Number Properties and Decimals

Objective CCSS Suggested Materials Suggested Benchmarks/ Assessments

To understand and use the properties of operations

6.EE.2.b 6.EE.3

• Whole number place value chart

• Decimal place value chart

• Graph paper • Daily Puzzles • Base 10 blocks • Counters/Chips • Homework Video

Tutor • Workbook • Smart board

• Homework Check • Checkpoint Quiz • Lesson Quiz • Pre/Post Tests • Chapter Review • Chapter Test • Activity Lab • Test Prep workbook • Observations

To use the order of operations to simplify expressions and solve problems

6.EE.2.b 6.EE.2.c

To read, write, and round decimals 6.NS.3 To add and subtract decimals and to solve problems involving decimals

6.NS.3

To multiply decimals and to solve problems involving decimals

6.NS.3 6.EE.2.b

To divide decimals and to solve problems involving decimals

6.NS.2 6.NS.3 6.EE.2.b

East Hanover Middle School Math Curriculum Grade: 6 Chapter Two: Expressions and Equations


To evaluate algebraic expressions 6.EE.2 6.EE.2.c 6.EE.6

• Graph paper • Algebra Tiles • Algebra balance

scale • Homework Video

Tutor • Workbook • iPads • Smart board

• Homework Check • Checkpoint Quiz • Lesson Quiz • Pre/Post Tests • Chapter Review • Chapter Test • Activity Lab • Test Prep workbook • Observations

To write algebraic expressions and use them to solve problems

6.EE.2 6.EE.2.a 6.EE.2.b 6.EE.6

To use mental math to estimate and solve problems

6.EE.5 6.EE.6 6.EE.7

To use subtraction to solve equations 6.EE.5

6.EE.6 6.EE.7

To use addition to solve equations 6.EE.5

6.EE.6 6.EE.7

To use multiplication and division to solve equations

6.EE.5 6.EE.6 6.EE.7

East Hanover Middle School Math Curriculum Grade: 6 Chapter 3: Number Theory


To check for divisibility using mental math and to use divisibility to solve problems

6.NS.4 • Index cards • Exponent chart • Homework Video

Tutor • Workbook • iPads • Smart board

• Homework Check • Checkpoint Quiz • Lesson Quiz • Pre/Post Tests • Chapter Review • Chapter Test • Test Prep workbook • Activity Lab • Observations

To use exponents and to simplify expressions with exponents

6.EE.1 6.EE.2 6.EE.2.c

To factor numbers and to find the prime factorization of numbers

6.EE.1

To find the GCF of two or more numbers 6.NS.4 To find the LCM of two or more numbers 6.NS.4 To use the Disruptive Property to simplify expressions in problem solving situations

6.EE.2.b 6.EE.3 6.EE.4

To simplify algebraic expressions 6.EE.2.b

6.EE.3 6.EE.4

East Hanover Middle School Math Curriculum Grade: 6 Chapter 4: Expressions and Equations


To solve problems by multiplying fractions by fractions and fractions and fractions by mixed numbers

6.NS.1 • Fraction tiles • Fraction flash cards • Calculator • Homework Video

Tutor • iPads • Workbook • Smart board


To use models to interpret and perform fraction division and to solve word problems involving fraction division

6.NS.1

To divide fractions and to solve problems by dividing fractions

6.NS.1

To estimate and compute the quotient of mixed numbers

6.NS.1

To solve equations with fractions 6.EE.6

6.EE.7

East Hanover Middle School Math Curriculum Grade: 6 Chapter 5: Ratios and Percents


To write ratios to compare real-world quantities 6.RP.1 6.RP.3

• Multiplication table • Graph paper • Homework Video

Tutor • iPads • Smart board


To find and use unit rates and unit costs 6.RP.2

6.RP.3 6.RP.3.b

To use equivalent ratios and rates to solve real-world and mathematical problems

6.RP.3 6.RP.3.a

To use ratios to convert from one unit of measure to another

6.RP.3.d

To model percents and to write percents using equivalent ratios

6.RP.3.c

To find equivalent forms of fractions, decimals, and percents

6.RP.3.c

To use percents to find part of a whole 6.RP.3.c To solve problems involving finding the whole, given a part and the percent

6.RP.3.c

East Hanover Middle School Math Curriculum Grade: 6 Chapter 6: Integers and Rational Numbers


To use integers, opposites, and absolute values to represent real-world situations

6.NS.5 6.NS.6 6.NS.6.a, c 6.NS.7.c

• Number lines • Game Board (A Race

to the End) • Number cubes • Place markers • Index Cards • Tables/Charts • iPads • Smart board


To compare and order integers 6.NS.7.a To show that numbers are rational, and to plot rational numbers on a number line

6.NS.5 6.NS.6 6.NS.6.c 6.NS.7.b

To compare and order rational numbers 6.NS.5

6.NS.6 6.NS.6.c 6.NS.7.a, b

To express and identify solutions of inequalities 6.EE.5

6.EE.6 6.EE.8 6.BS.7.d

To solve one-step inequalities by adding and subtracting

6.EE.5

East Hanover Middle School Math Curriculum Grade: 6 Chapter 7: The Coordinate Plane


To name and graph points on a coordinate plane

6.NS.6 6.NS.6.c 6.NS.8

• Coordinate grid • Graph paper • Rulers • Input/output tables • NTCM activities • Smart board • iPads


To graph polygons in a coordinate plane 6.NS.6b

6.NS.8 6.G.3

To make a function table and to write an equation

6.EE.9

To graph functions using data in a table 6.EE.9 To use equations, tables, and graphs to represent real-world function situations

6.EE.9

East Hanover Middle School Math Curriculum Grade: 6 Chapter 8: Geometry and Measurement


To solve problems involving areas of parallelograms, triangles, and complex figures

6.G.1 • Formula chart • Three-dimensional

figures • Graph paper • Three-dimensional

nets • Centimeter ruler • iPads • Smart board


To compose and decompose polygons to solve problems involving area

6.G.1

To identify three-dimensional figures 6.G.2 To use nets and to find the surface area of prisms and pyramids

6.G.4

To find the volume of rectangular prism with fractional edge lengths

6.G.2

East Hanover Middle School Math Curriculum Grade: 6 Chapter 9: Data and Graphs


To find and analyze the mean of a data set using models and calculations

6.SP.3 6.SP.5 6.SP.5.c

• Cubes • Frequency tables • Dot plots • Box-and-Whisker

plots • Histograms • Sample statistical

questions • iPads • Smart board


To find and analyze the median and mode of a data set

6.SP.3 6.SP.5 6.SP.5.c

To analyze a set of data by finding the range and by making frequency tables and dot plots

6.SP.4

To analyze a set of date by creating a box-and-whisker plot

6.SP.4 6.SP.5.a 6.SP.5.b

To construct and interpret a histogram 6.SP.4

6.SP.5 6.SP.5.b 6.SP.5.c

To find and use measures of variability to describe and compare data sets

6.SP.2 6.SP.3 6.SP.5.c

East Hanover Middle School Math Curriculum To relate the shape of a data display to how the data is distributed

6.SP.2 6.SP.5.d

To identify a statistical question and recognize and remove bias from statistical questions

6.SP.1 6.SP.2

East Hanover Middle School Math Curriculum Technology for Grade: 6

Website Name Website Address

Pearson 's Website www.pearsonsuccessnet.com Textbook technology and resource website

Free Math Worksheets www.math-drills.com Math Drills has printable worksheets to reinforce classroom concepts.

Math Play www.math-play.com Math Play has interactive games that can be used on the Smart Board as well as for review at home.

Smart Exchange www.exchange.smarttech.com Lists lessons by standard for use on the Smart Board

Cool Math www.coolmathforkids.com An amusement park of math designed for fun and reinforcement

Interact Math http://interactmath.com/ Free site with practice activities relating to the standards

East Hanover Middle School Math Curriculum Pacing Guide For Grade: 7

Topic Days Allotted

1. Integers and Rational Numbers 25

2. Equations 23

3. Inequalities 13

4. Ratios, Rates, and Proportions 27

5. Percents 19

6. Geometry and Area 21

7. Surface Area and Volume 15

8. Analyzing Data 13

9. Probability 21


East Hanover Middle School Math Curriculum Grade: 7 Chapter 1: Integers and Rational Numbers


To compare and order integers and to find and add opposites

7.NS.1.b • Number line • Math counters • Algebra tiles • Smart board • Homework video

tutor • iPads • Student workbook

• Homework check • Lesson quizzes • Pre/Post tests • Chapter tests • Observations • Activity lab • Check point quiz • Chapter review • Test prep. workbook

To add and subtract integers and to solve problems involving integers

7.NS.1.a,b,c,d

To multiply and divide integers and to solve problems involving integers

7.NS.2.a,b

To convert between fractions and decimals 7.NS.2.d 7.EE.3

To compare and order rational numbers 7.NS.2.b,d

To add and subtract rational numbers 7.NS.1.b,c,d 7.NS.3

East Hanover Middle School Math Curriculum To use number lines and properties to understand multiplication of rational numbers and to multiply rational numbers

7.NS.2.a,c 7.NS.3

To use rules for dividing integers to divide rational numbers and to solve problems by dividing rational numbers

7.NS.2 7.NS.2.b, c 7.NS.3

East Hanover Middle School Math Curriculum Grade: 7 Chapter 2: Equations


To write and evaluate algebraic expressions 7.EE.4 • Algebra Tiles • Index Cards • Algebra Balance

Scale • Homework Video

Tutor • iPads • Smart board

• Homework Check • Lesson Quiz • Pre/Post Tests • Chapter Tests • Observations • Activity Lab • Checkpoint Quiz • Chapter Review

To simplify algebraic expressions using properties of operations

7.EE.1

To solve equations by adding, subtracting, multiplying, or dividing

7.EE.4

To write and evaluate expressions with two operations and to solve two-step equations using number sense

7.EE.4.a

To solve two-step equations using inverse operations

7.EE.3 7.EE.4a

To solve equations of the form p(x+q) =r using the Distributive Property

7.EE.3 7.EE.4.a

East Hanover Middle School Math Curriculum Grade: 7 Chapter 3: Inequalities


To graph and write algebraic inequalities 7.EE.4b • Homework Video Tutor

• Workbook • Algebra Tiles • Algebra Balance

Scale • iPads • Smart board

• Homework Checkpoint • Lesson Quiz • Pre/Post Tests • Chapter Tests • Observations • Activity lab • Checkpoint Quiz • Chapter Review • Test Prep Workbook

To solve inequalities by adding or subtracting 7.EE.4.b

To solve inequalities by multiplying or dividing 7.EE.4.b

To solve two-step inequalities using inverse operations

7.EE.4.b

East Hanover Middle School Math Curriculum Grade: 7 Chapter 4: Ratios, Rates, and Proportions


To write ratios and use them to compare quantities

7.RP.1 • Graph paper • Ruler • Map of U.S. • Homework video

tutor • Smart board • iPads • Student workbook


To find unit rates and unit costs using proportional reasoning

7.RP.1

To test whether ratios form a proportion by using equivalent ratios and cross products

7.RP.2.a

To solve proportions using unit rates, mental math, and cross products

7.RP.1,2

To use proportions to find missing lengths in similar figures

7.RP.1,2 7.G.1

To use proportions to solve problems involving scale

7.G.1 7.RP.1

To identify proportional relationships and find constants of proportionality

7.RP.2.a,b,c,d

East Hanover Middle School Math Curriculum Grade: 7 Chapter 5: Percents


To convert between fractions, decimals and percents

7.EE3 • Homework Video Tutor

• Test Prep Workbook

• Workbook • Menus • Smart board • iPads • Note cards

• Homework Checkpoint • Lesson Quiz • Pre/Post Tests • Chapter Tests • Observations • Activity Lab • Checkpoint Quiz • Chapter Review

To use proportions to solve problems involving percents

7.RP.3

To use equations to solve problems involving percent

7.RP.3

To find and estimate solutions to application problems involving percent and to use different ways to represent a situation

7.RP.3

To find simple interest 7.RP.3

To find percents of increase and percents of decrease

7.RP.3 7.EE.2

East Hanover Middle School Math Curriculum Grade: 7 Chapter 6: Geometry


To write and solve equations to find unknown angle measures

7.G.2,5 • Calculator • Ruler • Protractor • Graph paper • Scissors • Smart board • Homework video

tutor • iPads • Student workbook


To find the area of a parallelogram and to relate perimeter and area

7.G.6

To find the area of a triangle and to relate side lengths and area

7.G.6

To find the area of a trapezoid and the areas of irregular figures

7.G.6

To find the circumference and area of a circle 7.G.4

East Hanover Middle School Math Curriculum Grade: 7 Chapter 7: Surface Area and Volume


To classify and draw three-dimensional figures 7.G.3 • Three-dimensional • solid figures • Nets of figures • Test Prep

Workbook • Homework Video

Tutor • Smart board • iPads • Workbook • Calculators

• Lesson Quiz • Homework Checkpoint • Pre/Post Tests • Chapter Tests • Observations • Activity Lab • Checkpoint Quiz • Chapter Review

To find the surface area of prisms and cylinders using nets

7.G.6

To find volume of prisms and cylinders 7.G.6

To describe and draw cross sections that result from slicing three- dimensional figures

7.G.3

East Hanover Middle School Math Curriculum Grade: 7 Chapter 8: Analyzing Data


To identify a random sample and to write a survey question

7.SP.1 • Homework video tutor

• Student workbook • iPads • Smart board


To estimate population size using proportions 7.SP.2

To use data from random samples to draw inferences about populations

7.SP.2

To compare data about two populations by using measures of center and measures of variability

7.SP.3,4

East Hanover Middle School Math Curriculum Grade: 7 Chapter 9: Probability


To find the probability and the complement of an event

7.SP.5 7.SP.7.a

• Number Cubes • Spinners • Marbles • Playing Cards • Coins • Homework Video

Tutor • Workbook • iPads • Smart board • Test Prep

Workbook

• Homework Checkpoint • Lesson Quiz • Pre/Post Tests • Chapter Tests • Observations • Activity Lab • Checkpoint Quiz • Chapter Review

To find experimental probability and to use simulations

7.SP.6 7.SP.7 7.SP.7.b

To make and use sample spaces and to use the counting principle

7.SP.8 7.SP.8.b

To find the probability of independent and dependent events

7.SP.8 7.SP.8a 7.SP.8b

To design and use simulations to estimate the probability of compound events

7.SP.8c



Pearson 's Website www.pearsonsuccessnet.com Textbook technology and resource website

Cool Math www.coolmath4kids.com An amusement park of math designed for fun and reinforcement

Smart Exchange http://exchange.smarttech.com Lists lessons by standard for use on the Smart Board

Teachers Pay Teachers www.teacherspayteachers.com A website resource of free and for sale math ideas and packets

IXL 7th Grade math Practice www.://ixl.com/math/grade-7 7th Grade practice arranged by standard

Math Play www.math-play.com An interactive resource that is compatible with the Smart Board


East Hanover Middle School Math Curriculum Pacing Guide for Grade: 8

Topic Days Allotted

Chapter 1: Real Numbers and the Coordinate Plane 20

Chapter 2 : Solving Linear Equations 20

Chapter 3 : Introduction to Functions 16

Chapter 4 : Graphing Functions 14

Chapter 5 : Systems of Linear Equations 14

Chapter 6 : Exponents 20

Chapter 7 : Geometry 22

Chapter 8 : Transformations 20

Chapter 9 : Geometry and Measurement 14

Chapter 10 : Data Analysis 16


East Hanover Middle School Math Curriculum Grade: 8 Chapter 1: Real Numbers and the Coordinate Plane


To write equivalent fractions and decimals 8.NS.1 • Graph paper • Smart board • Calculators • Individual whiteboards • Note taking guide

• Chapter Pre-Test • Ongoing Observation • Homework Assignment • Daily Assignment Check • Daily Math Practice • Review Packets • Lesson Quizzes • Chapter Test • Standardized Test Prep

To find and estimate square toots and to classify numbers as rational or irrational

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

To find cube roots and to solve cube root equations

8.EE.2 8.G.7

To use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle

8.G.7

To use the Pythagorean Theorem to find missing measurements of triangles

8.G.7

To graph points and to use the Pythagorean Theorem to find distances in the coordinate plane

8.G.7 8.G.8

East Hanover Middle School Math Curriculum Grade: 8 Chapter 2: Solving Linear Equations


To solve one-step equations and to use one-step equations to solve problems

8.EE.7 8.EE.7.b

• Algebra tiles • Graph paper • Smart board • Calculators • Individual whiteboards • Note taking guide • Colored pencils • iPads


To solve two-step equations and to use two-step equations to solve problems

8.EE.7 8.EE.7.b

To combine like terms and to simplify algebraic expressions

8.EE.7.b

To write and solve multi-step equations 8.EE.7

8.EE.7.b To write and solve equations with variables on both sides

8.EE.7 8.EE.7.b

To identify whether a linear equation in one variable has one, infinitely many, or no solutions

8.EE.7 8.EE.7.a 8.EE.7.b

East Hanover Middle School Math Curriculum Grade: 8 Chapter 3: Introduction to Functions


To interpret and sketch graphs that represent real-world situations

8.F.5 • Graph paper • Note taking guide • Calculators • Smart board • Individual whiteboards • iPads


To evaluate functions and complete input-output tables

8.F.1

To determine if relationships are proportional 8.EE.5 To recognize linear functions and use tables and equations to graph them

8.F.3

East Hanover Middle School Math Curriculum Grade: 8 Chapter 4: Graphing Functions


To find the slope of a line from a graph or table 8.EE.5 8.EE.6 8.F.4

• Graph paper • Note taking guide • Calculators • Smart board • Individual whiteboards • iPads


To use tables and equations to graph linear functions

8.EE.6 8.F.1 8.F.3

To compare properties of two functions represented in different ways

8.EE.5 8.F.2

East Hanover Middle School Math Curriculum Grade: 8 Chapter 5: Systems of Linear Equations


To solve systems of two linear equations in two variables by graphing the equations

8.EE.8.a 8.EE.8.b 8.EE.8.c

• Graph paper • Note taking guide • Calculators • Smart board • Individual whiteboards • iPads • Colored pencils


To solve a system of linear equations by substitution

8.EE.8.b 8.EE.8.c

To solve a system of linear equations by elimination

8.EE.8.b 8.EE.8.c

To use systems of linear equations to solve real-world problems

8.EE.8.b 8.EE.8.c

East Hanover Middle School Math Curriculum Grade: 8 Chapter 6: Exponents


To write numbers in both standard form and scientific notation

8.EE.3 • Exponent rules song • Note taking guide • Calculators • Smart board • Individual whiteboards • iPads


To multiply powers with the same base 8.EE.1 To multiply numbers written in scientific notation and choose appropriate units of measure

8.EE.4

To divide powers with the same base and to simplify expressions with negative exponents

8.EE.1

To divide and compare numbers written in scientific notation

8.EE.3 8.EE.4

East Hanover Middle School Math Curriculum Grade: 8 Chapter 7: Geometry


To identify types of angles and to find angle measures using the relationship between angles

8.G.5 • Graph paper • Note taking guide • Calculators • Smart board • iPads • Individual whiteboards • Wooden/plastic shapes • Rulers • Protractors


To identify parallel lines and the angles formed by parallel lines and transversals

8.G.5

To identify congruent figures and use them to solve problems

8.G.2

To identify similar figures and to use proportions to find missing measurements in similar figures

8.G.4

To find the angle measures of a polygon 8.G.5

East Hanover Middle School Math Curriculum Grade: 8 Chapter 8: Transformations


To graph and describe translations in the coordinate plane

8.G.1.a 8.G.1.b 8.G.1.c 8.G.3

• Graph paper • Note taking guide • Calculators • Smart board • iPads • Individual whiteboards • Ruler • Wooden/plastic shapes


To graph reflections in the coordinate plane and to identify lines of symmetry

8.G.1.a 8.G.1.b 8.G.1.c 8.G.3

To graph rotations and to identify rotational symmetry

8.G.1.a 8.G.1.b 8.G.1.c 8.G.3

To describe a sequence of transformations that maps one figure onto another; to determine whether two figures are congruent by using a sequence of transformations

8.G.2 8.G.3 8.G.4

To graph dilations and to determine the scale factor of a dilation

8.G.3 8.G.4

East Hanover Middle School Math Curriculum Grade: 8 Chapter 9: Geometry and Measurement


To identify solids, parts of solids, and skew line segments

8.G.9 • Note taking guide • Calculators • Smart board • iPads • Individual whiteboards • Transparent geometric

shapes • Formula sheet


To find the volumes of prisms and cylinders 8.G.7

8.G.9 To find the volumes of pyramids and cones 8.G.9 To find the surface area and volume of a sphere 8.G.9

East Hanover Middle School Math Curriculum Grade: 8 Chapter 10: Data Analysis


To interpret and make scatter plots of bivariate data

8.SP.1 • Graph paper • Measuring tape • Yardstick • Calculator • Individual whiteboards • iPads • Smart board • Colored pencils • Index cards


To describe patterns in scatter plots, such as clustering, outliers, positive or negative association, linear association, or nonlinear association

8.SP.1

To assess the fit of a trend line on a scatter plot and to use trend lines to estimate and make predictions

8.SP.2 8.SP.3

To construct and interpret two way frequency tables and two-way relative frequency tables

8.SP.4



Prentice Hall Course 3 Mathematics www.pearsonsuccessnet.com Textbook technology and resource website

Cool Math http://www.coolmath.com Contains math lessons, math games, math puzzles, and math links for all topics

Fun Brain http://www.funbrain.com/numbers.html Includes 17 original math games covering a variety of math topics

Get Smarter http://www.getsmarter.org An animated and interactive testing and learning website that compares students’ math performance against students worldwide

Dr. Math http://mathforum.org/dr.math/ A question and answer service for math students and teachers

Khan Academy www.khanacademy.org A library of videos to practice math skills from addition to calculus and everything in-between


East Hanover Middle School Math Curriculum Pacing Guide for Grade: 8 Algebra 1

Topic Days Allotted

Chapter 1: Foundations for Algebra 12

Chapter 2: Solving Equations 16

Chapter 3: Solving Inequalities 14

Chapter 4: Introduction to Functions 12

Chapter 5: Linear Functions 16

Chapter 6: Systems of Equations and Inequalities 14

Chapter 7: Exponents and Exponential Functions 14

Chapter 8: Polynomials and Factoring 18

Chapter 9: Quadratic Functions and Equations 16

Chapter 10: Radical Expressions and Equations 12

Chapter 11: Rational Expressions and Functions 14

Chapter 12: Data Analysis and Probability 14

TOTAL NUMBER OF DAYS 172

East Hanover Middle School Math Curriculum Grade: 8 Algebra 1 Chapter 1: Foundations for Algebra


To write algebraic expressions A.SSE.1, A.SSE.1.a

• Graph paper • Calculator • Individual

whiteboards • iPads • Smart board • Algebra tiles • Note taking guide


To simplify expressions involving exponents. To use the order of operations to evaluate expressions

A.SSE.1, A.SSE.1.a

To use the Distributive Property to simplify expressions

A.SSE.1.a

To solve equations using tables and mental math A.CED.1 To use tables, equations, and graphs to describe relationships

A.CED.2 A.REI.10

East Hanover Middle School Math Curriculum Grade: 8 Algebra I Chapter 2: Solving Equations


To solve one-step equations in one variable A.CED.1 A.REI.3


whiteboards • iPads • Smart board • Index cards


To solve two-step equations in one variable A.CED.1

A.REI.1 A.REI.3

To solve multi-step equations in one variable A.CED.1

A.REI.1 A.REI.3

To solve equations with variables on both sides. To identify equations that are identities or have no solution

A.CED.1 A.REI.1 A.REI.3

To rewrite and use literal equations and formulas

N.Q.1 A.CED.1 A.CED.4 A.REI.1 A.REI.3

To find ratios and rates To convert units and rates

N.Q.1 N.Q.2

East Hanover Middle School Math Curriculum To solve and apply proportions N.Q.1

A.CED.1 A.REI.3

To find missing lengths in similar figures To use similar figures when measuring indirectly

A.CED.1 A.REI.3

To find percent change To find the relative error in linear and nonlinear measurements

N.Q.3

East Hanover Middle School Math Curriculum Grade: 8 Algebra I Chapter 3: Solving Inequalities


To use addition or subtraction to solve inequalities

A.CED.1 A.REI.3


whiteboards • iPads • Smart board • Colored pencils • Index cards


To solve multi-step inequalities A.CED.1

A.REI.3 To write sets and identify subsets To find the compliments of a set

A.REI.3

To solve and graph inequalities containing the word and To solve and graph inequalities containing the word or

A.CED.1 A.REI.3

To solve equations and inequalities involving absolute value

A.SSE.1, A.SSE.1.b A.CED.1

To find the unions and intersections of sets A.CED.1

East Hanover Middle School Math Curriculum Grade: 8 Algebra I Chapter 4: Introduction to Functions


To identify and represent patterns that describe linear functions

A.REI.10 F.IF.4


whiteboards • Smart board • Note taking guide


To identify and represent patterns that describe nonlinear functions

A.REI.10 F.IF.4

To graph equations that represent functions N.Q.1

A.REI.10 F.IF.5

To write equations that represent functions N.Q.2 A.SSE.1 A.SSE.1.a A.CED.2

To determine whether a relation is a function To find domain and range and use function notation

F.IF.1 F.IF.2

To identify and extend patterns in sequences To represent arithmetic sequences using function notation

A.SSE.1 A.SSE.1.a A.SSE.1.b F.IF.3 F.BF.1

East Hanover Middle School Math Curriculum F.BF.1.a F.BF.2 F.LE.2

East Hanover Middle School Math Curriculum Grade: 8 Algebra I Chapter 5: Linear Functions


To find rates of change from tables To find slope

F.IF.6 F.LE.1.b


whiteboards • Smart board • Note taking guide


To write and graph an equation of a direct variation

N.Q.2 A.CED.2

To write linear equations using slope intercept form To graph linear equations in slope-intercept form

A.SSE.1 A.SSE.1.a A.SSE.2 A.CED.2 F.IF.4 F.IF.7 F.IF.7.a F.BF.1 F.BF.1.a F.BF.3 F.LE.2 F.LE.5

To write and graph linear equations using point-slope form

A.SSE.1 A.SSE.1.a A.SSE.2 A.CED.2 F.IF.4

East Hanover Middle School Math Curriculum F.IF.7 F.IF.7.a F.BF.1 F.BF.1.a F.BF.3 F.LE.2 F.LE.5

To graph linear equations using intercepts To write linear equations in standard form

N.Q.2 A.SSE.1 A.SSE.2 A.CED.2 F.IF.4 F.IF.7 F.IF.7.a F.IF.9 F.BF.1 F.BF.1.a F.LE.2 F.LE.5

To determine whether lines are parallel, perpendicular, or neither To write equations of parallel lines and perpendicular lines

G.GPE.5

To write an equation of a trend line and of a line of best fit

N.Q.1 F.LE.5 S.ID.6

East Hanover Middle School Math Curriculum To use a trend line and a line of best fit to make predictions

S.ID.6.a S.ID.6.c S.ID.7 S.ID.8 S.ID.9

To graph an absolute value function To translate the graph of an absolute value function

F.IF.7 F.IF.7.b F.BF.3

East Hanover Middle School Math Curriculum Grade: 8 Algebra I Chapter 6: Systems of Equations and Inequalities


To solve systems of equations by graphing To analyze special systems

A.REI.6 • Graph paper • Calculator • Individual

whiteboards • iPads • Smart board • Colored pencils • Graphing calculator • Note taking guide


To solve systems of equations by using substitutions

A.REI.6

To solve systems by adding or subtracting to eliminate a variable

A.REI.5 A.REI.6

To choose the best method for solving a system of linear equations

N.Q.2 N.Q.3 A.CED.3 A.REI.6

To graph linear inequalities in two variables To use linear inequalities when modeling real-world situations

A.CED.3 A.REI.12

To solve systems of linear inequalities by graphing To model real-world situations using systems of linear inequalities

A.REI.12

East Hanover Middle School Math Curriculum Grade: 8 Algebra I Chapter 7: Exponents and Exponential Functions


To simplify expressions involving zero and negative exponents

N.RN.1 N.RN.2

• Calculator • Individual

whiteboards • iPads • Smart board • Index cards • Note taking guide


To multiply powers with the same base N.RN.1 To raise a power to a power To raise a product to a power

N.RN.1

To divide powers with the same base To raise a quotient to a power

N.RN.1

To rewrite expressions involving radicals and rational exponents

N.RN.2

To evaluate and graph exponential functions A.SSE.1

A.CED.2 A.REI.11 F.IF.4 F.IF.5 F.IF.7 F.IF.7.e F.IF.9 F.LE.2

East Hanover Middle School Math Curriculum To model exponential growth and decay A.SSE.1

A.SSE.1.a A.SSE.1.b A.SSE.3.c A.CED.2 F.IF.4 F.IF.7 F.IF.8 F.IF.8.b F.BF.1 F.BF.3 F.LE.1.c F.LE.5

To write and use recursive formulas for geometric sequences

A.SSE.1 A.SSE.1.a F.IF.3 F.BF.1.a F.BF.2 F.LE.2

East Hanover Middle School Math Curriculum Grade: 8 Algebra I Chapter 8: Polynomials and Factoring


To classify, add, and subtract polynomials A.APR.1 • Calculator • Individual

whiteboards • iPads • Smart board • Colored pencils • Index cards • Note taking guide


To multiply a monomial by a polynomial To factor a monomial from a polynomial

A.APR.1

To multiply two binomials or a binomial by a trinomial

A.APR.1

To find the square of a binomial and to find the product of a sum and difference

A.APR.1

To factor trinomials of the form x2 + bx + c A.SSE.1.a

To factor trinomials of the form ax2 + bx + c A.SSE.1.a A.SSE.1.b

To factor perfect square trinomials and the differences of two squares

A.SSE.1 A.SSE.1.a A.SSE.1.b A.SSE.2

To factor higher degree polynomials by grouping A.SSE.1 A.SSE.1.a A.SSE.1.b A.SSE.2

East Hanover Middle School Math Curriculum Grade: 8 Algebra I Chapter 9: Quadratic Functions and Equations


To graph quadratic functions of the form y= ax2 and y= ax2+ c

A.SSE.1 A.CED.2 F.IF.4 F.IF.5 F.IF.7.a F.IF.7.b F.BF.3


whiteboards • iPads • Smart board • Graphing calculator • Note taking guide


To graph quadratic functions of the form y= ax2 + bx + c

A.SSE.1 A.CED.2 F.IF.4 F.IF.7 F.IF.7.a F.IF.9 F.BF.1 F.BF.3

To solve quadratic equations by graphing and using square roots

N.Q.2 A.CED.2 A.CED.4 A.APR.3 A.REI.4 A.REI.4.b

East Hanover Middle School Math Curriculum To solve quadratic equations by factoring A.SSE.3

A.SSE.3.a A.CED.1 A.REI.4 A.REI.4.b F.IF.8 F.IF.8.a

To solve quadratic equations by completing the square

N.Q.3 A.SSE.1 A.SSE.1.a A.SSE.1.b A.SSE.3 A.SSE.3.b. A.CED.1 A.REI.1 A.REI.4 A.REI.4.a A.REI.4.b F.IF.8.a

To solve quadratic equations using the quadratic formula To find the number of solutions of a quadratic equation

N.Q.3 A.SSE.1 A.CED.1 A.REI.4 A.REI.4.a A.REI.4.b

East Hanover Middle School Math Curriculum To choose a linear, quadratic, or exponential model for data

F.IF.4 F.BF.1.b F.LE.1.a F.LE.2 F.LE.3 S.ID.6.a

To solve systems of linear and quadratic equations

A.CED.3 A.REI.7 A.REI.11

East Hanover Middle School Math Curriculum Grade: 8 Algebra I Chapter 10: Radical Expressions and Equations


To solve problems using the Pythagorean Theorem

G.SRT.8 • Calculator • Individual

whiteboards • iPads • Smart board • Note taking guide


To simplify radicals involving products and quotients

A.REI.2

To simplify sums and differences of radical expressions To simplify products and quotients of radical expressions

A.REI.2

To solve equations containing radicals To identify extraneous solutions

A.REI.2

East Hanover Middle School Math Curriculum Grade: 8 Algebra I Chapter 11: Rational Expressions and Functions


To simplify rational expressions A.APR.7 • Calculator • Individual

whiteboards • iPads • Smart board • Note taking guide • Graph paper


To multiply and divide rational expressions To simplify complex fractions

A.APR.7

To divide polynomials A.APR.6 To add and subtract rational expressions A.APR.7 To solve rational equations and proportions A.CED.1

A.REI.2 To write and graph equations for inverse variations To compare direct and inverse variations

A.CED.2 F.IF.5

To graph rational functions A.CED.2

F.IF.4

East Hanover Middle School Math Curriculum Grade: 8 Algebra I Chapter 12: Data Analysis and Probability


To organize data in a matrix To add and subtract matrices and multiply a matrix by a scalar

N.VM.6 • Calculator • Individual

whiteboards • iPads • Smart board • Note taking guide • Graph paper


To make and interpret frequency tables and histograms

N.Q.1 S.ID.1

To find mean, median, mode, and range N.Q.2

S.ID.2 S.ID.3

To make and interpret box and whisker plots To find quartiles and percentiles

N.Q.1 S.ID.1 S.ID.2

To classify data and analyze samples and surveys S.IC.3 To find permutations and combinations S.CP.9 To find theoretical and experimental probabilities

S.CP.1 S.CP.4

East Hanover Middle School Math Curriculum To find probabilities of mutually exclusive and overlapping events To find probabilities of independent and dependent events

S.CP.7 S.CP.8

East Hanover Middle School Math Curriculum Technology for Grade: 8 Algebra I


Prentice Hall Mathematics www.pearsonsuccessnet.com Textbook technology and resource website

Cool Math http://www.coolmath.com Contains math lessons, math games, math puzzles, and math links for all topics

Fun Brain http://www.funbrain.com/numbers.html Includes 17 original math games covering a variety of math topics

Get Smarter http://www.getsmarter.org An animated and interactive testing and learning website that compares students’ math performance against students worldwide

Dr. Math http://mathforum.org/dr.math/ A question and answer service for math students and teachers

Khan Academy www.khanacademy.org A library of videos to practice math skills from addition to calculus and everything in between

east hanover township school district 6-8 mathematics curriculum · 2013-07-23 · 8.ee.7 to...

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