-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter 1
Lessons 5
Chapter Content: Integers
Domain/ Common Core State Standards The Number System/7.NS.1a-d,
7.NS.2a-d, 7.NS.3
Suggested days for topic:15 5 activities, 5 lessons, Chapter
Opener, Quiz, Review, Test
Lessons: Essential Questions Resources, Materials, & Games
Assessments 1. Integers and Absolute Value: How can
you use integers to represent the velocity and the speed of an
object?
2. Adding Integers: Is the sum of two integers positive,
negative, or zero? How can you tell?
3. Subtracting Integers: How are adding integers and subtracting
integers related?
4. Multiplying Integers: Is the product of two integers
positive, negative, or zero? How can you tell?
5. Dividing Integers: Is the quotient of two integers positive,
negative, or zero? How can you tell?
Resources Big Ideas Student Text Big Ideas Record & Practice
Journal Big Ideas Resources by Chapter and
Performance Tasks Online account
Materials & Manipulatives Integer Counters Handkerchief
Index Cards Paper Clips Pencils Yarn, String Two 3-inch Strips of
Different Colored Paper
Differentiation Opportunities
Skills Review and Basic Skills Handbook Lesson Tutorials
(online) Intensive Intervention Activities (online) Differentiating
the Lesson (online) Enrichment and Extension
Online Resources
Dynamic Classroom (technology) Game Closet
Summative What You Learned Before Chapter Test Quizzes Standards
Assessment Formative Discovery Activity Observation and “What’s
Your Answer?” Responses Guided Practice Observation Lesson Summary
Responses Homework
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
Check It Out: Lesson Tutorials at www.bigideasmath.com
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter 1
Lessons 5
Chapter Content: Integers
Domain/ Common Core State Standards The Number System/7.NS.1a-d,
7.NS.2a-d, 7.NS.3
Suggested days for topic:15 5 activities, 5 lessons, Chapter
Opener, Quiz, Review, Test
Lessons: Objectives Key Vocabulary Additional Online
Resources
http://www.bigideasmath.com/
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
1. Integers and Absolute Value: Students will define the
absolute value of a number. Students will find absolute values of
numbers.
2. Adding Integers: Students will add integers without the use
of a visual or concrete model. Students will show that the sum of a
number and its opposite is zero.
3. Subtracting Integers: Students will subtract integers without
the use of a visual or concrete model.
4. Multiplying Integers: Students will find products of integers
with the same sign and the products of integers with different
signs.
5. Dividing Integers: Students will find quotients of integers
with the same sign and the quotients of integers with different
signs.
integer absolute value opposites additive inverse
The Giant Cookie Dilemma, The Cost of Being Late and Using an
Elevator to Evaluate Signed Number Expressions at:
http://illuminations.nctm.org/ Cereal at:
http://www.insidemathematics.org/performance-assessment-tasks
Online math skill practice at:
https://www.ixl.com/standards/new-jersey/math/grade-7 A library of
interactive, web-based virtual manipulatives at:
http://nlvm.usu.edu/en/nav/vlibrary.html
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter 2
Lessons 4
Chapter Content: Rational Numbers
Domain/ Common Core State Standards
Suggested days for topic:12
http://illuminations.nctm.org/http://www.insidemathematics.org/performance-assessment-taskshttp://www.insidemathematics.org/performance-assessment-taskshttp://www.insidemathematics.org/performance-assessment-taskshttps://www.ixl.com/standards/new-jersey/math/grade-7https://www.ixl.com/standards/new-jersey/math/grade-7http://nlvm.usu.edu/en/nav/vlibrary.htmlhttp://nlvm.usu.edu/en/nav/vlibrary.html
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
Number System 7.NS.1a-d, 7.NS.2a-d, 7.NS.3
4 activities, 4 lessons, Chapter Opener, Quiz, Review, Test
Lessons: Essential Questions Resources, Materials, & Games
Assessments 1. Rational Numbers:
How can you use a number line to order rational numbers?
2. Adding Rational Numbers: How can you use what you know about
adding integers to add rational numbers?
3. Subtracting Rational Numbers: How can you use what you know
about subtracting integers to subtract rational numbers?
4. Multiplying and Dividing Rational Numbers: Why is the product
of two negative rational numbers positive?
Resources Big Ideas Student Text Big Ideas Record & Practice
Journal Big Ideas Resources by Chapter and
Performance Tasks Online Account
Materials & Manipulatives Index Cards Markers Masking Tape
Pieces of Paper Glass Bowl Questions from Chapter Toy Boat
Differentiation Opportunities
Skills Review and Basic Skills Handbook Lesson Tutorials
(online) Intensive Intervention Activities (online) Differentiating
the Lesson (online) Enrichment and Extension
Online Resources
Dynamic Classroom (technology) Game Closet Check It Out: Lesson
Tutorials at
www.bigideasmath.com
Summative What You Learned Before Chapter Test Quizzes Standards
Assessment Formative Discovery Activity Observation and “What’s
Your Answer?” Responses Guided Practice Observation Lesson Summary
Responses Homework
http://www.bigideasmath.com/
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter 2
Lessons 4
Chapter Content: Rational Numbers
Domain/ Common Core State Standards Number System 7.NS.1a-d,
7.NS.2a-d, 7.NS.3
Suggested days for topic:12 4 activities, 4 lessons, Chapter
Opener, Quiz, Review, Test
Lessons: Objectives Key Vocabulary Additional Online Resources
1. Rational Numbers: Students will
understand that a rational number is an integer divided by an
integer. Students will convert rational numbers to decimals, write
decimals as fractions and order rational numbers.
2. Adding Rational Numbers: Students will add rational
numbers.
3. Subtracting Rational Numbers: Students will subtract rational
numbers.
4. Multiplying and Dividing Rational Numbers: Students will
multiply and divide rational numbers.
rational number terminating decimal repeating decimal
The Giant Cookie Dilemma, The Cost of Being Late and Using an
Elevator to Evaluate Signed Number Expressions at:
http://illuminations.nctm.org/ Cereal at:
http://www.insidemathematics.org/performance-assessment-tasks
Online math skill practice at:
https://www.ixl.com/standards/new-jersey/math/grade-7 A library of
interactive, web-based virtual manipulatives at:
http://nlvm.usu.edu/en/nav/vlibrary.html
http://illuminations.nctm.org/http://www.insidemathematics.org/performance-assessment-taskshttp://www.insidemathematics.org/performance-assessment-taskshttp://www.insidemathematics.org/performance-assessment-taskshttps://www.ixl.com/standards/new-jersey/math/grade-7https://www.ixl.com/standards/new-jersey/math/grade-7http://nlvm.usu.edu/en/nav/vlibrary.htmlhttp://nlvm.usu.edu/en/nav/vlibrary.html
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter 3
Lessons 5
Chapter Content: Expressions and Equations
Domain/ Common Core State Standards Expressions and
Equations/7.EE.1, 7.EE.2, 7.EE.4a
Suggested days for topic:15 5 activities, 5 lessons, 1 extension
activity, Chapter Opener, Quiz, Review, Test
Lessons: Essential Questions Resources, Materials, & Games
Assessments
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
1. Algebraic Expressions: How can you simplify an algebraic
expression?
2. Adding and Subtracting Linear Expressions: How can you use
algebra tiles to add or subtract algebraic expressions? Extension:
Factoring Expressions
3. Solving Equations Using Addition or Subtraction: How can you
use algebra tiles to solve addition or subtraction equations?
4. Solving Equations Using Multiplication or Division: How can
you use multiplication or division to solve equations?
5. Solving Two-Step Equations: How can you use algebra tiles to
solve a two-step equation?
Resources Big Ideas Student Text Big Ideas Record & Practice
Journal Big Ideas Resources by Chapter and Performance
Tasks Online Account
Materials & Manipulatives Algebra Tiles Envelope Index Cards
Pencils (2) Color-coded Spinner with Operations Symbols
Differentiation Opportunities
Skills Review and Basic Skills Handbook Lesson Tutorials
(online) Intensive Intervention Activities (online) Differentiating
the Lesson (online) Enrichment and Extension
Online Resources
Dynamic Classroom (technology) Game Closet Check It Out: Lesson
Tutorials at
www.bigideasmath.com
Summative What You Learned Before Chapter Test Quizzes Standards
Assessment Formative Discovery Activity Observation and “What’s
Your Answer?” Responses Guided Practice Observation Lesson Summary
Responses Homework
http://www.bigideasmath.com/
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter 3
Lessons 5
Chapter Content: Expressions and Equations
Domain/ Common Core State Standards Expressions and
Equations/7.EE.1, 7.EE.2, 7.EE.4a
Suggested days for topic:15 5 activities, 5 lessons, 1 extension
activity, Chapter Opener, Quiz, Review, Test
Lessons: Objectives Key Vocabulary Additional Online
Resources 1. Algebraic Expressions: Students will
simplify algebraic expressions by combining like terms.
2. Adding and Subtracting Linear Expressions: Students will use
a horizontal or vertical format to add and subtract linear
expressions. Students will factor linear expressions.
3. Solving Equations Using Addition or Subtraction: Students
will write equations and use the addition and subtraction
properties of equality to solve equations.
4. Solving Equations Using Multiplication or Division: Students
will write equations and use the multiplication and division
properties of equality to solve equations.
like terms simplest form linear expression factoring an
expression equivalent equations
One Grain of Rice at: http://illuminations.nctm.org/ Toy Train
at: http://www.insidemathematics.org/performance-assessment-tasks
Online math skill practice at:
https://www.ixl.com/standards/new-jersey/math/grade-7 A library of
interactive, web-based virtual manipulatives at:
http://nlvm.usu.edu/en/nav/vlibrary.html
http://illuminations.nctm.org/http://illuminations.nctm.org/http://www.insidemathematics.org/performance-assessment-taskshttp://www.insidemathematics.org/performance-assessment-taskshttp://www.insidemathematics.org/performance-assessment-taskshttps://www.ixl.com/standards/new-jersey/math/grade-7https://www.ixl.com/standards/new-jersey/math/grade-7https://www.ixl.com/standards/new-jersey/math/grade-7http://nlvm.usu.edu/en/nav/vlibrary.htmlhttp://nlvm.usu.edu/en/nav/vlibrary.html
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
5. Solving Two-Step Equations: Students will solve two-step
equations by undoing operations in reverse order.
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter 4
Lessons 4
Chapter Content: Inequalities
Domain/ Common Core State Standards Expressions and Equations
7.EE.4b
Suggested days for topic:12 4 activities, 4 lessons, Chapter
Opener, Quiz, Review, Test
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
Lessons: Essential Questions Resources, Materials, & Games
Assessments 1. Writing and Graphing Inequalities:
How can you use a number line to represent solutions of an
inequality?
2. Solving Inequalities Using Addition or Subtraction: How can
you use addition or subtraction to solve an inequality?
3. Solving Inequalities Using Multiplication or Division: How
can you use multiplication or division to solve an inequality?
4. Solving Two-Step Equations: How can you use addition,
subtraction, multiplication and division to solve two step
inequalities?
Resources Big Ideas Student Text Big Ideas Record & Practice
Journal Big Ideas Resources by Chapter and
Performance Tasks Online Account
Materials & Manipulatives Pre-made Number Lines Per Pair of
Students
(10) Index Cards Tangram Pieces
Differentiation Opportunities
Skills Review and Basic Skills Handbook Lesson Tutorials
(online) Intensive Intervention Activities (online) Differentiating
the Lesson (online) Enrichment and Extension
Online Resources Dynamic Classroom (technology) Game Closet
Check It Out: Lesson Tutorials at www.bigideasmath.com
Summative What You Learned Before Chapter Test Quizzes Standards
Assessment Formative Discovery Activity Observation and “What’s
Your Answer?” Responses Guided Practice Observation Lesson Summary
Responses Homework
SEVENTH GRADE “Pre-Algebra” MATHEMATICS
http://www.bigideasmath.com/
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
Chapter 4
Lessons 4
Chapter Content: Inequalities
Domain/ Common Core State Standards Expressions and Equations
7.EE.4b
Suggested days for topic:12 4 activities, 4 lessons, Chapter
Opener, Quiz, Review, Test
Lessons: Objectives Key Vocabulary Additional Online
Resources 1. Writing and Graphing Inequalities:
Students will write and graph inequalities. Students will
determine whether a value is a solution of an inequality.
2. Solving Inequalities Using Addition or Subtraction: Students
will use the addition and subtraction properties of inequality to
solve inequalities.
3. Solving Inequalities Using Multiplication or Division:
Students will use the multiplication and division properties of
inequality to solve inequalities.
4. Solving Two-Step Equations: Students will solve and graph
two-step inequalities.
inequality solution of an inequality solution set graph of an
inequality
Online math skill practice at:
https://www.ixl.com/standards/new-jersey/math/grade-7 A library of
interactive, web-based virtual manipulatives at:
http://nlvm.usu.edu/en/nav/vlibrary.html
https://www.ixl.com/standards/new-jersey/math/grade-7https://www.ixl.com/standards/new-jersey/math/grade-7https://www.ixl.com/standards/new-jersey/math/grade-7http://nlvm.usu.edu/en/nav/vlibrary.htmlhttp://nlvm.usu.edu/en/nav/vlibrary.html
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter 5
Lessons 6
Chapter Content: Ratios and Proportions
Domain/ Common Core State Standards Ratios and Proportional
Relationships 7.RP.1, 7.RP.2a-d, 7.RP.3
Suggested days for topic:17 6 activities, 6 lessons, 1 extension
activity, Chapter Opener, Quiz, Review, Test
Lessons: Essential Questions Resources, Materials, & Games
Assessments
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
1. Ratios and Rates: How do rates help you describe real-life
problems?
2. Proportions: How can proportions help you decide when things
are “fair”? Extension: Graphing Proportional Relationships
3. Writing Proportions: How can you write a proportion that
solves a problem in real life?
4. Solving Proportions: How can you use ratio tables and cross
products to solve proportions?
5. Slope: How can you compare two rates graphically?
6. Direct Variation: How can you use a graph to show the
relationship between two quantities that vary directly? How can you
use an equation?
Resources Big Ideas Student Text Big Ideas Record & Practice
Journal Big Ideas Resources by Chapter and Performance
Tasks Online Account
Materials & Manipulatives
Index Cards, Baseball bat Calculators Containers Filled with
Water (2) Decks of Cards, Food Coloring Grid Paper, Measuring Tape
Square Tiles, Stopwatch String, Wind-up Toy
Differentiation Opportunities Skills Review and Basic Skills
Handbook Lesson Tutorials (online)
Intensive Intervention Activities (online) Differentiating the
Lesson (online) Enrichment and Extension
Online Resources
Dynamic Classroom (technology) Game Closet
Check It Out: Lesson Tutorials at www.bigideasmath.com
Summative What You Learned Before Chapter Test Quizzes Standards
Assessment Formative Discovery Activity Observation and “What’s
Your Answer?” Responses Guided Practice Observation Lesson Summary
Responses Homework
SEVENTH GRADE “Pre-Algebra” MATHEMATICS
http://www.bigideasmath.com/
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
Chapter 5
Lessons 6
Chapter Content: Ratios and Proportions
Domain/ Common Core State Standards Ratios and Proportional
Relationships 7.RP.1, 7.RP.2a-d, 7.RP.3
Suggested days for topic:17 6 activities, 6 lessons, 1 extension
activity, Chapter Opener, Quiz, Review, Test
Lessons: Objectives Key Vocabulary Additional Online
Resources 1. Ratios and Rates: Students will find ratios,
rates and unit rates from words, tables and graphs.
2. Proportions: Students will use equivalent ratios and the
Cross Products property to determine whether two ratios form a
proportion. Students will graph and interpret graphs of
proportional relationships.
3. Writing Proportions: Students will write and use mental math
to solve proportions.
4. Solving Proportions: Students will solve proportions using
the Cross Products property. Students will use a point on a graph
to write and solve proportions.
5. Slope: Students will determine the slope a line from a graph.
Students will interpret the slopes of lines as rates.
6. Direct Variation: Students will identify direct
variation from graphs or equations. Students will use direct
variation models to solve problems.
ratio rate unit rate complex fraction proportion proportional
cross products slope direct variation constant of
proportionality
Space Shuttle, How Much is a Million, Now and Then and The Cost
of Being Late at: http://illuminations.nctm.org/ Cereal and Cat
Food at:
http://www.insidemathematics.org/performance-assessment-tasks
Online math skill practice at:
https://www.ixl.com/standards/new-jersey/math/grade-7 A library of
interactive, web-based virtual manipulatives at:
http://nlvm.usu.edu/en/nav/vlibrary.html
http://illuminations.nctm.org/http://illuminations.nctm.org/http://www.insidemathematics.org/performance-assessment-taskshttp://www.insidemathematics.org/performance-assessment-taskshttp://www.insidemathematics.org/performance-assessment-taskshttps://www.ixl.com/standards/new-jersey/math/grade-7https://www.ixl.com/standards/new-jersey/math/grade-7https://www.ixl.com/standards/new-jersey/math/grade-7http://nlvm.usu.edu/en/nav/vlibrary.htmlhttp://nlvm.usu.edu/en/nav/vlibrary.html
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter 6
Lessons 7
Chapter Content: Percents
Domain/ Common Core State Standards Ratios and Proportional
Relationships/7.RP.3 Expressions and Equations/7.EE.3
Suggested days for topic:18 7 activities, 7 lessons, Chapter
Opener, Quiz, Review, Test
Lessons: Essential Questions Resources, Materials, & Games
Assessments
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
1. Percents and Decimals: How does the decimal point move when
you rewrite a percent as a decimal and when you rewrite a decimal
as a percent?
2. Comparing and Ordering Fractions, Decimals, and Percents: How
can you order numbers that are written as fractions, decimals, and
percents?
3. The Percent Proportion: How can you use models to estimate
percent questions?
4. The Percent Equation: How can you use an equivalent form of
the percent proportion to solve a percent problem?
5. Percents of Increase and Decrease: What is a percent of
decrease? What is a percent of increase?
6. Discounts and Markups: How can you find discounts and selling
prices?
7. Simple Interest: How can you find the amount of simple
interest earned on a savings account? How can you find the amount
of interest owed on a loan?
Resources Big Ideas Student Text Big Ideas Record & Practice
Journal Big Ideas Resources by Chapter and Performance
Tasks Online Account
Materials & Manipulatives Index Cards, Calculator Deck of
Cards Egg Carton Newspaper Whiteboard
Differentiation Opportunities
Skills Review and Basic Skills Handbook Lesson Tutorials
(online) Intensive Intervention Activities (online) Differentiating
the Lesson (online) Enrichment and Extension
Online Resources
Dynamic Classroom (technology) Game Closet
Check It Out: Lesson Tutorials at www.bigideasmath.com
Summative What You Learned Before Chapter Test Quizzes Standards
Assessment Formative Discovery Activity Observation and “What’s
Your Answer?” Responses Guided Practice Observation Lesson Summary
Responses Homework
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter 6
Lessons 7
Chapter Content: Percents
Domain/ Common Core State Standards Ratios and Proportional
Relationships/7.RP.3 Expressions and Equations/7.EE.3
Suggested days for topic:18 7 activities, 7 lessons, Chapter
Opener, Quiz, Review, Test
http://www.bigideasmath.com/
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
Lessons: Objectives Key Vocabulary Additional Online
Resources 1. Percents and Decimals: Students will convert
decimals to percents and percents to decimals.
2. Comparing and Ordering Fractions, Decimals, and Percents:
Students will compare and order percents, decimals and
fractions.
3. The Percent Proportion: Students will use the percent
proportion to solve three types of percent problems.
4. The Percent Equation: Students will use the percent equation
to solve three types of percent problems.
5. Percents of Increase and Decrease: Students will use the
percent of change formula to find percents of increase and
decrease.
6. Discounts and Markups: Students will find the discounts and
markups of items.
7. Simple Interest: Students will use the simple interest
formula to find interest, annual interest rates and the amounts
paid on loans.
percent of change percent of increase percent of decrease
percent error discount markup interest principal simple
interest
Where is Everybody, Using an Elevator to Evaluate Signed Number
Expressions, The Giant Cookie Dilemma and The Cost of Being Late
at:
http://illuminations.nctm.org/ Toy Train at:
http://www.insidemathematics.org/performance-assessment-tasks
Online math skill practice at:
https://www.ixl.com/standards/new-jersey/math/grade-7 A library of
interactive, web-based virtual manipulatives at:
http://nlvm.usu.edu/en/nav/vlibrary.html
SEVENTH GRADE “Pre-Algebra” MATHEMATICS
http://illuminations.nctm.org/http://illuminations.nctm.org/http://www.insidemathematics.org/performance-assessment-taskshttp://www.insidemathematics.org/performance-assessment-taskshttp://www.insidemathematics.org/performance-assessment-taskshttps://www.ixl.com/standards/new-jersey/math/grade-7https://www.ixl.com/standards/new-jersey/math/grade-7https://www.ixl.com/standards/new-jersey/math/grade-7http://nlvm.usu.edu/en/nav/vlibrary.htmlhttp://nlvm.usu.edu/en/nav/vlibrary.html
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
Chapter 7
Lessons 5
Chapter Content: Constructions and Scale Drawings
Domain/ Common Core State Standards Geometry 7.G.1, 7.G.2,
7.G.5
Suggested days for topic:17 5 activities, 5 lessons, 1 Extension
Activity, Chapter Opener, Quiz, Review, Test
Lessons: Essential Questions Resources, Materials, & Games
Assessments 1. Adjacent and Vertical Angles: What
can you conclude about the angles formed by two intersecting
lines?
2. Complementary and Supplementary Angles: How can you classify
two angles as complementary or supplementary?
3. Triangles: How can you construct triangles? Extension: Angle
Measures of Triangles
4. Quadrilaterals: How can you classify quadrilaterals?
5. Scale Drawings: How can you enlarge or reduce a drawing
proportionally?
Resources Big Ideas Student Text Big Ideas Record & Practice
Journal Big Ideas Resources by Chapter and Performance
Tasks Online Account
Materials & Manipulatives Geoboard, Geoboard Dot Paper
Geometry Software Maps from the Internet Protractor, Ruler, Straws
File Folders, Picture of Ohio State Flag Game Cards
Differentiation Opportunities
Skills Review and Basic Skills Handbook Lesson Tutorials
(online) Intensive Intervention Activities (online) Differentiating
the Lesson (online) Enrichment and Extension
Online Resources
Dynamic Classroom (technology) Game Closet
Check It Out: Lesson Tutorials at www.bigideasmath.com
Summative What You Learned Before Chapter Test Quizzes Standards
Assessment Formative Discovery Activity Observation and “What’s
Your Answer?” Responses Guided Practice Observation Lesson Summary
Responses Homework
http://www.bigideasmath.com/
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter 7
Lessons 5
Chapter Content: Constructions and Scale Drawings
Domain/ Common Core State Standards Geometry 7.G.1, 7.G.2,
7.G.5
Suggested days for topic:17 5 activities, 5 lessons, 1 Extension
Activity, Chapter Opener, Quiz, Review, Test
Lessons: Objectives Key Vocabulary Additional Online
Resources 1. Adjacent and Vertical Angles: Students will
identify vertical and adjacent angles. Students will find angle
measures using adjacent and vertical angles.
2. Complementary and Supplementary Angles: Students will
classify pairs of angles as complementary, supplementary or
neither. Students will find angle measures using complementary and
supplementary angles.
3. Triangles: Students will classify and construct triangles
using angles and sides. Students will find missing angle measures
in triangles.
4. Quadrilaterals: Students will classify and construct
quadrilaterals. Students will find an angle measure of a
quadrilateral.
5. Scale Drawings: Students will use scale drawings to find
actual distance. Students will find scale factors. Students will
use scale drawings to find perimeters and areas.
adjacent angles vertical angles congruent angles complementary
angles supplementary angles congruent sides kite scale drawing
scale model scale scale factor
Scaling the City at: http://illuminations.nctm.org/ Online math
skill practice at:
https://www.ixl.com/standards/new-jersey/math/grade-7 A library of
interactive, web-based virtual manipulatives at:
http://nlvm.usu.edu/en/nav/vlibrary.html
http://illuminations.nctm.org/http://illuminations.nctm.org/https://www.ixl.com/standards/new-jersey/math/grade-7https://www.ixl.com/standards/new-jersey/math/grade-7https://www.ixl.com/standards/new-jersey/math/grade-7http://nlvm.usu.edu/en/nav/vlibrary.htmlhttp://nlvm.usu.edu/en/nav/vlibrary.html
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter 8
Lessons 4
Chapter Content: Circles and Area
Domain/ Common Core State Standards Geometry/7.G.4, 7.G.6
Suggested days for topic:12 4 activities, 4 lessons, Chapter
Opener, Quiz, Review, Test
Lessons: Essential Questions Resources, Materials, & Games
Assessments 1. Circles and Circumference: How can
you find the circumference of a circle?
2. Perimeters of Composite Figures: How can you find the
perimeter of a composite figure?
3. Areas of Circles: How can you find the area of a circle?
4. Areas of Composite Figures: How can you find the area of a
composite figure?
Resources Big Ideas Student Text Big Ideas Record & Practice
Journal Big Ideas Resources by Chapter and
Performance Tasks Online Account
Materials & Manipulatives Pieces of Paper File Folders
Tangrams
Differentiation Opportunities
Skills Review and Basic Skills Handbook Lesson Tutorials
(online) Intensive Intervention Activities (online) Differentiating
the Lesson (online) Enrichment and Extension
Online Resources
Dynamic Classroom (technology) Game Closet
Summative What You Learned Before Chapter Test Quizzes Standards
Assessment Formative Discovery Activity Observation and “What’s
Your Answer?” Responses Guided Practice Observation Lesson Summary
Responses
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
Check It Out: Lesson Tutorials at www.bigideasmath.com
Homework
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter 8
Lessons 4
Chapter Content: Circles and Area
Domain/ Common Core State Standards Geometry/7.G.4, 7.G.6
Suggested days for topic:12 4 activities, 4 lessons, Chapter
Opener, Quiz, Review, Test
Lessons: Objectives Key Vocabulary Additional Online
Resources
http://www.bigideasmath.com/
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
1. Circles and Circumference: Students will find the radius,
diameter and circumference of a circle.
2. Perimeters of Composite Figures: Students will find
perimeters of composite figures.
3. Areas of Circles: Students will find areas of semi-circles
and circles.
4. Areas of Composite Figures: Students will divide composite
figures into familiar geometric shapes to find the total area.
circle center radius diameter circumference pi semicircle
composite figure
The Giant Cookie Dilemma at: http://illuminations.nctm.org/
Online math skill practice at:
https://www.ixl.com/standards/new-jersey/math/grade-7 A library of
interactive, web-based virtual manipulatives at:
http://nlvm.usu.edu/en/nav/vlibrary.html
SEVENTH GRADE “Pre-Algebra” MATHEMATICS
http://illuminations.nctm.org/http://illuminations.nctm.org/https://www.ixl.com/standards/new-jersey/math/grade-7https://www.ixl.com/standards/new-jersey/math/grade-7https://www.ixl.com/standards/new-jersey/math/grade-7http://nlvm.usu.edu/en/nav/vlibrary.htmlhttp://nlvm.usu.edu/en/nav/vlibrary.html
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
Chapter 9
Lessons 5
Chapter Content: Surface Area and Volume
Domain/ Common Core State Standards Geometry 7.G.4, 7.G.6
Suggested days for topic:16 5 activities, 5 lessons, 1 extension
activity, Chapter Opener, Quiz, Review, Test
Lessons: Essential Questions Resources, Materials, & Games
Assessments 1. Surface Area of Prisms: How can you
find the surface area of a prism?
2. Surface Area of Pyramids: How can you find the surface area
of a pyramid?
3. Surface Area of Cylinders: How can you find the surface area
of a cylinder?
4. Volume of Prisms: How can you find the volume of a prism?
5. Volume of Pyramids: How can you find the volume of a pyramid?
Extension: Cross Sections of Three-Dimensional Figures
Resources Big Ideas Student Text Big Ideas Record & Practice
Journal Big Ideas Resources by Chapter and Performance
Tasks Online Account
Materials & Manipulatives Cans, Cardboard Cylinder Masking
Tape, Ruler Scissors, Sheets of Paper, Unit Cubes Bingo Chips,
Flashlight, Marbles Picture of Transamerica Pyramid Building
from
Internet Ream of Paper, Solid Box Variety of Containers, 3-Dingo
Cards
Differentiation Opportunities
Skills Review and Basic Skills Handbook Lesson Tutorials
(online) Intensive Intervention Activities (online) Differentiating
the Lesson (online) Enrichment and Extension
Online Resources
Dynamic Classroom (technology) Game Closet
Summative What You Learned Before Chapter Test Quizzes Standards
Assessment Formative Discovery Activity Observation and “What’s
Your Answer?” Responses Guided Practice Observation Lesson Summary
Responses Homework
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
Check It Out: Lesson Tutorials at www.bigideasmath.com
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter 9
Lessons 5
Chapter Content: Surface Area and Volume
Domain/ Common Core State Standards Geometry 7.G.4, 7.G.6
Suggested days for topic:16 5 activities, 5 lessons, 1 extension
activity, Chapter Opener, Quiz, Review, Test
Lessons: Objectives Key Vocabulary Additional Online
Resources
http://www.bigideasmath.com/
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter 10
Lessons 7
Chapter Content: Probability and Statistics
Domain/ Common Core State Standards
Suggested days for topic:20
1. Surface Area of Prisms: Students will find the surface areas
of rectangular and triangular prisms.
2. Surface Area of Pyramids: Students will find the surface
areas of square and triangular prisms.
3. Surface Area of Cylinders: Students will find the surface
areas of cylinders.
4. Volume of Prisms: Students will find volumes of prisms.
5. Volume of Pyramids: Students will find volumes of pyramids.
Students will describe the cross sections of three-dimensional
figures.
lateral surface area regular pyramid slant height cross
section
The Giant Cookie Dilemma and Tree Talk at:
http://illuminations.nctm.org/ Online math skill practice at:
https://www.ixl.com/standards/new-jersey/math/grade-7 A library of
interactive, web-based virtual manipulatives at:
http://nlvm.usu.edu/en/nav/vlibrary.html
http://illuminations.nctm.org/http://illuminations.nctm.org/https://www.ixl.com/standards/new-jersey/math/grade-7https://www.ixl.com/standards/new-jersey/math/grade-7https://www.ixl.com/standards/new-jersey/math/grade-7http://nlvm.usu.edu/en/nav/vlibrary.htmlhttp://nlvm.usu.edu/en/nav/vlibrary.html
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
Statistics and Probability 7.SP.1, 7SP.2, 7SP.3, 7SP.3, 7SP.4,
7SP.5, 7SP.6, 7SP.7a-b, 7.SP.8a-C
7 activities, 7 lessons, 2, Extensions, Chapter Opener, Quiz,
Review, Test
Lessons: Essential Questions Resources, Materials, & Games
Assessments 1. Outcomes and Events: In an experiment, how
can you determine the number of possible results?
2. Probability: How can you describe the likelihood of an
event?
3. Experimental and Theoretical Probability: How can you use
relative frequencies to find probabilities?
4. Compound Events: How can you find the
number of possible outcomes of one or more events?
5. Independent and Dependent Events: What is the difference
between dependent and independent events?
6. Samples and Populations: How can you determine whether a
sample accurately represents the population?
7. Comparing Populations: How can you compare data sets that
represent two populations?
Resources Big Ideas Student Text Big Ideas Record & Practice
Journal Big Ideas Resources by Chapter and Performance
Tasks Online Account
Materials & Manipulatives Calculators, Coins, Dimes Packing
Peanuts, Paper Clip Combination Lock, Cups Deck of Cards, Hot Cocoa
Mix Marbles, Number Cube, Paper Bag, Pennies Unit Cubes, Pieces of
Paper, Tea Bag
Differentiation Opportunities
Skills Review and Basic Skills Handbook Lesson Tutorials
(online) Intensive Intervention Activities (online) Differentiating
the Lesson (online) Enrichment and Extension
Online Resources
Dynamic Classroom (technology) Game Closet Check It Out: Lesson
Tutorials at
www.bigideasmath.com
Summative What You Learned Before Chapter Test Quizzes Standards
Assessment Formative Discovery Activity Observation and “What’s
Your Answer?” Responses Guided Practice Observation Lesson Summary
Responses Homework
SEVENTH GRADE “Pre-Algebra” MATHEMATICS
http://www.bigideasmath.com/
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
Chapter 10
Lessons 7
Chapter Content: Probability and Statistics
Domain/ Common Core State Standards Statistics and Probability
7.SP.1, 7SP.2, 7SP.3, 7SP.3, 7SP.4, 7SP.5, 7SP.6, 7SP.7a-b,
7.SP.8a-C
Suggested days for topic:20 7 activities, 7 lessons, 2,
Extensions, Chapter Opener, Quiz, Review, Test
Lessons: Objectives Key Vocabulary Additional Online
Resources 1. Outcomes and Events: Students will identify and
count the outcomes of an experiment.
2. Probability: Students will compute the probability of an
event.
3. Experimental and Theoretical Probability: Students will
compute the experimental probability and theoretical probability of
an event.
4. Compound Events: Students will find the number
of outcomes of compound events using tree diagrams, tables or a
formula. Students will find the probability of a compound
event.
5. Independent and Dependent Events: Students will compute
theoretical probabilities of independent and dependent events.
Students will use simulations to find experimental
probabilities.
6. Samples and Populations: Students will identify biased and
unbiased samples. Students will use multiple samples to make
predictions about populations.
7. Comparing Populations: Students will compare two populations
using measures of center, measures of variation, and overlap.
experiment outcomes event favorable outcomes probability
relative frequency experimental probability theoretical probability
sample space Fundamental Counting Principle compound event
independent events dependent events simulation population sample
unbiased sample biased sample
How Much is a Million and Tree Talk at:
http://illuminations.nctm.org/ Fair Game and Ducklings at:
http://www.insidemathematics.org/performance-assessment-tasks
Online math skill practice at:
https://www.ixl.com/standards/new-jersey/math/grade-7 A library of
interactive, web-based virtual manipulatives at:
http://nlvm.usu.edu/en/nav/vlibrary.html
http://illuminations.nctm.org/http://illuminations.nctm.org/http://www.insidemathematics.org/performance-assessment-taskshttp://www.insidemathematics.org/performance-assessment-taskshttp://www.insidemathematics.org/performance-assessment-taskshttps://www.ixl.com/standards/new-jersey/math/grade-7https://www.ixl.com/standards/new-jersey/math/grade-7https://www.ixl.com/standards/new-jersey/math/grade-7http://nlvm.usu.edu/en/nav/vlibrary.htmlhttp://nlvm.usu.edu/en/nav/vlibrary.html
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter
11 Lessons
7 Chapter Content:
Transformations Domain/ Common Core State Standards
Geometry/8.G.1, 8.G.2, 8.G.3, 8.G.4
Suggested days for topic:19
days, Chapter Opener, 7
Activities, 7 Lessons, Quiz,
Review, Test
Lessons: Essential Questions Resources, Materials, & Games
Assessments
1. Congruent Figures: How can you identify congruent
triangles?
2. Translations: How can you arrange tiles to make a
tessellation?
3. Reflections: How can you use
reflections to classify a frieze pattern?
4. Rotations: What are the three basic
ways to move an object in a plane?
5. Similar Figures: How can you use proportions to help make
decisions in art design, and magazine layouts?
6. Perimeters and Areas of Similar
Figures: How do changes in dimensions of similar geometric
Resources Big Ideas Student Text Big Ideas Record & Practice
Journal Big Ideas Resources by Chapter and Performance
Tasks Online Account
Materials & Manipulatives Geoboard, Geoboard Dot Paper
Pattern Blocks, Rubber Bands Tracing Paper, Cookie Cutters Flip
Book Masking Tape Stencils The Sierpinski Triangle Uncooked
Spaghetti
Differentiation Opportunities
Skills Review and Basic Skills Handbook Lesson Tutorials
(online) Intensive Intervention Activities (online) Differentiating
the Lesson (online) Enrichment and Extension
Summative What You Learned Before Chapter Test Quizzes Standards
Assessment Formative Discovery Activity Observation and “What’s
Your Answer?” Responses Guided Practice Observation
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
figures affect the perimeters and areas of the figures?
7. Dilations: How can you enlarge or
reduce a figure in the coordinate plane?
Online Resources
Dynamic Classroom (technology) Game Closet
Check It Out: Lesson Tutorials at www.bigideasmath.com
Lesson Summary Responses Homework
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter
11 Lessons
7 Chapter Content:
Transformations Domain/ Common Core State Standards
Geometry/8.G.1, 8.G.2, 8.G.3, 8.G.4
Suggested days for topic:19
days, Chapter Opener, 7
Activities, 7 Lessons, Quiz,
Review, Test
Lessons: Objectives Key Vocabulary
Additional Online Resources
http://www.bigideasmath.com/
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
1. Congruent Figures: Students will name corresponding sides and
corresponding angles of congruent figures. Students will identify
congruent figures.
2. Translations: Students will identify translations and
translate figures in the coordinate plane.
3. Reflections: Students will identify reflections.
Students will reflect figures in the x-axis and y-axis of the
coordinate plane.
4. Rotations: Students will identify rotations and
rotate figures in the coordinate plane. Students will describe a
sequence of transformations.
5. Similar Figures: Students will name
corresponding angles and corresponding sides of similar figures.
Students will identify similar figures. Students will find unknown
measures of similar figures.
6. Perimeters and Areas of Similar Figures: Students
will understand the relationship between perimeters of similar
figures. Students will understand the relationship between areas of
similar figures. Students will find the ratios of perimeters and
areas for similar figures.
7. Dilations: Students will identify dilations and use
scale factors to enlarge and reduce polygons in the coordinate
plane. Students will describe a sequence of transformations.
congruent figures corresponding angles corresponding sides
transformation image translation reflection line of reflection
rotation center of rotation angle of rotation similar figures
dilation center of dilation scale factor
Flip-N-Slide at: http://illuminations.nctm.org/ Online math
skill practice at:
https://www.ixl.com/standards/new-jersey/math/grade-8 A library of
interactive, web-based virtual manipulatives at:
http://nlvm.usu.edu/en/nav/vlibrary.html
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter
12 Lessons
4 Chapter Content:
Angles and Triangles Domain/ Common Core State Standards
Geometry/8.G.5
Suggested days for topic:13
days, Chapter Opener, 4
http://illuminations.nctm.org/http://illuminations.nctm.org/https://www.ixl.com/standards/new-jersey/math/grade-8https://www.ixl.com/standards/new-jersey/math/grade-8https://www.ixl.com/standards/new-jersey/math/grade-8http://nlvm.usu.edu/en/nav/vlibrary.htmlhttp://nlvm.usu.edu/en/nav/vlibrary.html
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
Activities, 4 Lessons, Quiz,
Review, Test
Lessons: Essential Questions Resources, Materials, & Games
Assessments
1. Parallel Lines and Transversals: How can you describe angles
formed by parallel lines and transversals?
2. Angles of Triangles: How can you describe the relationship
among the angles of a triangle?
3. Angles of Polygons: How can you find
the sum of interior angle measures and the sum of the exterior
angle measures of a polygon?
4. Using Similar Triangles: How can you
use angles to tell whether triangles are similar?
Resources Big Ideas Student Text Big Ideas Record & Practice
Journal Big Ideas Resources by Chapter and Performance
Tasks Online Account
Materials & Manipulatives Paper, Protractor, Ruler Scissors
Tracing Paper Brass Fasteners Card Stock Deck of Cards Dictionaries
Hole Punch Stopwatch
Differentiation Opportunities
Skills Review and Basic Skills Handbook Lesson Tutorials
(online) Intensive Intervention Activities (online) Differentiating
the Lesson (online) Enrichment and Extension
Online Resources
Dynamic Classroom (technology) Game Closet
Check It Out: Lesson Tutorials at www.bigideasmath.com
Summative What You Learned Before Chapter Test Quizzes Standards
Assessment Formative Discovery Activity Observation and “What’s
Your Answer?” Responses Guided Practice Observation Lesson Summary
Responses Homework
http://www.bigideasmath.com/
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter
12 Lessons
4 Chapter Content:
Angles and Triangles Domain/ Common Core State Standards
Geometry/8.G.5
Suggested days for topic:13
days, Chapter Opener, 4
Activities, 4 Lessons, Quiz,
Review, Test
Lessons: Objectives Key Vocabulary
Additional Online Resources
1. Parallel Lines and Transversals: Students will find the
measures of many types of angles, all formed when parallel lines
are cut by a transversal.
2. Angles of Triangles: Students will find the missing angle
measure of a triangle and classify the triangle.
3. Angles of Polygons: Students will find
the measures of interior and exterior angles of polygons.
Student will find the sum of the interior angle measures of a
polygon.
4. Using Similar Triangles: Students will
identify similar triangles. Students will use indirect
measurement to find missing measures.
transversal interior angles exterior angles interior angles of
polygons exterior angles of polygons convex polygon concave polygon
regular polygon indirect measurement
Online math skill practice at:
https://www.ixl.com/standards/new-jersey/math/grade-8 A library of
interactive, web-based virtual manipulatives at:
http://nlvm.usu.edu/en/nav/vlibrary.html
https://www.ixl.com/standards/new-jersey/math/grade-8https://www.ixl.com/standards/new-jersey/math/grade-8https://www.ixl.com/standards/new-jersey/math/grade-8http://nlvm.usu.edu/en/nav/vlibrary.htmlhttp://nlvm.usu.edu/en/nav/vlibrary.html
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter
13 Lessons
7 Chapter Content:
Graphing and Writing Linear
Equations
Domain/ Common Core State Standards
Expressions and Equations/8.EE.5, 8.EE.6
Functions/8.F.4
Suggested days for topic:19
days, Chapter Opener, 7
Activities, 7 Lessons, 1
Extension, Quiz, Review, Test
Lessons: Essential Questions Resources, Materials, & Games
Assessments
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
1. Graphing Linear Equations: How can you recognize a linear
equation? How can you draw its graph?
2. Slope of a Line: How can you use the slope of a line to
describe the line?
3. Graphing Proportional Relationships: How can you describe the
graph of the equation y = mx + b?
4. Graphing Linear Equations in Slope-Intercept Form: How can
you describe the graph of the equation y = mx + b?
5. Graphing Linear Equations in Standard Form: How can you
describe the graph of the equation ax + by = c?
6. Writing Equations in Slope-Intercept Form: How can you write
an equation of a line when you are given the slope and the
y-intercept of the line?
7. Writing Equations in Point-Slope Form: How can you write an
equation of a line when you are given the slope and a point on the
line?
Resources Big Ideas Student Text Big Ideas Record & Practice
Journal Big Ideas Resources by Chapter and Performance
Tasks Online Account
Materials & Manipulatives Calculator, Coordinate Grids Map
of the United States Marker Masking Tape Paper Towel Tube Ribbon
Scissors Strips of Paper
Differentiation Opportunities
Skills Review and Basic Skills Handbook Lesson Tutorials
(online) Intensive Intervention Activities (online) Differentiating
the Lesson (online) Enrichment and Extension
Online Resources
Dynamic Classroom (technology) Game Closet Check It Out: Lesson
Tutorials at
www.bigideasmath.com
Summative What You Learned Before Chapter Test Quizzes Standards
Assessment Formative Discovery Activity Observation and “What’s
Your Answer?” Responses Guided Practice Observation Lesson Summary
Responses Homework
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter
13 Lessons
7 Chapter Content: Domain/ Common Core State Standards
Expressions and Equations/8.EE.5, 8.EE.6
Suggested days for topic:19
days, Chapter Opener, 7
http://www.bigideasmath.com/
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
Graphing and Writing Linear
Equations
Functions/8.F.4 Activities, 7 Lessons, 1
Extension, Quiz, Review, Test
Lessons: Objectives Key Vocabulary
Additional Online Resources
1. Graphing Linear Equations: Students will understand that
lines represent solutions of linear equations. Students will graph
linear equations using a table of values.
2. Slope of a Line: Students will find slopes of lines from
graphs and tables. Students will identify parallel and
perpendicular lines using slope.
3. Graphing Proportional Relationships: Students will write and
graph proportional relationships.
4. Graphing Linear Students will find slopes and y-intercepts of
graphs of linear equations. Students will graph linear equations
written in slope-intercept form.
5. Graphing Linear Equations in Standard Form: Students will
graph equations written in standard form.
6. Writing Equations in Slope-Intercept Form: Students will
write an equation of a line using the slope and y-intercept.
7. Writing Equations in Point-Slope Form: Students will write an
equation of a line
linear equation solution of a linear equation slope rise run
x-intercept y-intercept slope-intercept form standard form
point-slope form
House Prices and Vincent’s Graphs at:
http://www.insidemathematics.org/performance-assessment-tasks
Online math skill practice at:
https://www.ixl.com/standards/new-jersey/math/grade-8 A library of
interactive, web-based virtual manipulatives at:
http://nlvm.usu.edu/en/nav/vlibrary.html
http://www.insidemathematics.org/performance-assessment-taskshttp://www.insidemathematics.org/performance-assessment-taskshttp://www.insidemathematics.org/performance-assessment-taskshttps://www.ixl.com/standards/new-jersey/math/grade-8https://www.ixl.com/standards/new-jersey/math/grade-8https://www.ixl.com/standards/new-jersey/math/grade-8http://nlvm.usu.edu/en/nav/vlibrary.htmlhttp://nlvm.usu.edu/en/nav/vlibrary.html
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
using the slope and a point, Students will write an equation of
a line using two points.
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter
14 Lessons
5 Chapter Content:
Real Numbers and The
Pythagorean Theorem
Domain/ Common Core State Standards
Number System/8.NS.1, 8.NS.2
Expressions and Equations/8.EE.2
Geometry/8.G.6, 8.G.7, 8.G.8
Suggested days for topic:15
days, Chapter Opener, 5
Activities, 5 Lessons, 1
Extension, Quiz, Review, Test
Lessons: Essential Questions Resources, Materials, & Games
Assessments
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
1. Finding Square Roots: How can you find the dimensions of a
square or a circle when you are given its area?
2. Finding Cube Roots: How is the cube root of a number
different from the square root of a number?
3. The Pythagorean Theorem: How are
the lengths of the sides of a right triangle related?
4. Approximating Square Roots: How
can you find decimal approximations of square roots that are not
rational?
5. Using the Pythagorean Theorem: In
what other ways can you use the Pythagorean Theorem?
Resources Big Ideas Student Text Big Ideas Record & Practice
Journal Big Ideas Resources by Chapter and
Performance Tasks Online Account
Materials & Manipulatives Centimeter Grid Paper, Ruler
Cube-Shaped Tissue Box Index cards, Pendulums Tracing Paper
Uncooked Spaghetti Unit Cubes, Yarn
Differentiation Opportunities
Skills Review and Basic Skills Handbook Lesson Tutorials
(online) Intensive Intervention Activities (online) Differentiating
the Lesson (online) Enrichment and Extension
Online Resources
Dynamic Classroom (technology) Game Closet Check It Out: Lesson
Tutorials at
www.bigideasmath.com
Summative What You Learned Before Chapter Test Quizzes Standards
Assessment Formative Discovery Activity Observation and “What’s
Your Answer?” Responses Guided Practice Observation Lesson Summary
Responses Homework
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter
14 Lessons
5 Chapter Content: Domain/ Common Core State Standards
Number System/8.NS.1, 8.NS.2
Suggested days for topic:15
days, Chapter Opener, 5
http://www.bigideasmath.com/
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
Real Numbers and The
Pythagorean Theorem
Expressions and Equations/8.EE.2
Geometry/8.G.6, 8.G.7, 8.G.8
Activities, 5 Lessons, 1
Extension, Quiz, Review, Test
Lessons: Objectives Key Vocabulary
Additional Online Resources
1. Finding Square Roots: Students will find square roots and
evaluate expressions involving square roots.
2. Finding Cube Roots: Students will find cube roots and
evaluate expressions involving cube roots.
3. The Pythagorean Theorem: Students will
use the Pythagorean Theorem to find missing side lengths of
right triangles.
4. Approximating Square Roots: Students
will approximate square roots. Students will classify real
numbers. Students will write a repeating decimal as a fraction.
5. Using the Pythagorean Theorem:
Students will use the converse of the Pythagorean Theorem to
identify right triangles. Students will use the distance formula
and the Pythagorean Theorem to find distances in the coordinate
plane.
square roots perfect square radical sign radicand cube root
perfect cube theorem legs hypotenuse Pythagorean Theorem irrational
number real numbers distance formula
Square Roots Go Rational and
Squares, Diagonals and Square
Roots at:
http://illuminations.nctm.org/
Patterns in Prague at:
http://www.insidemathematics.org/performance-assessment-tasks
Online math skill practice at:
https://www.ixl.com/standards/new-jersey/math/grade-8 A library of
interactive, web-based virtual manipulatives at:
http://nlvm.usu.edu/en/nav/vlibrary.html
http://illuminations.nctm.org/http://illuminations.nctm.org/http://www.insidemathematics.org/performance-assessment-taskshttp://www.insidemathematics.org/performance-assessment-taskshttp://www.insidemathematics.org/performance-assessment-taskshttps://www.ixl.com/standards/new-jersey/math/grade-8https://www.ixl.com/standards/new-jersey/math/grade-8https://www.ixl.com/standards/new-jersey/math/grade-8http://nlvm.usu.edu/en/nav/vlibrary.htmlhttp://nlvm.usu.edu/en/nav/vlibrary.html
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Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter
15 Lessons
4 Chapter Content:
Volume and Similar Solids Domain/ Common Core State
Standards
Geometry/8.G.9
Suggested days for topic:13
days, Chapter Opener, 4
Activities, 4 Lessons, Quiz,
Review, Test
Lessons: Essential Questions Resources, Materials, & Games
Assessments 1. Volumes of Cylinders: How can you
find the volume of a cylinder?
2. Volume of Cones: How can you find the volume of a cone?
3. Volume of Spheres: How can you find the volume of a
sphere?
4. Surface Areas and Volumes of Similar Solids: When the
dimensions of a solid increase by a factor of k, how does the
surface area change? How does the volume change?
Resources Big Ideas Student Text Big Ideas Record & Practice
Journal Big Ideas Resources by Chapter and Performance
Tasks Online Account
Materials & Manipulatives Heavy weight paper, Paper cup,
Plastic ball with hole Ruler, Scissors, Tape , Uncooked Rice Cans,
Coins, Hourglass-shaped timer Ice cream cone, Ice cream scoop
Liquid measuring devices Miniature object, Spherical objects
Variety of containers
Differentiation Opportunities
Skills Review and Basic Skills Handbook Lesson Tutorials
(online) Intensive Intervention Activities (online) Differentiating
the Lesson (online) Enrichment and Extension
Summative What You Learned Before Chapter Test Quizzes Standards
Assessment Formative Discovery Activity Observation and “What’s
Your Answer?” Responses Guided Practice Observation Lesson Summary
Responses
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
Online Resources Dynamic Classroom (technology) Game Closet
Check It Out: Lesson Tutorials at
www.bigideasmath.com
Homework
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter
15 Lessons
4 Chapter Content:
Volume and Similar Solids Domain/ Common Core State
Standards
Geometry/8.G.9
Suggested days for topic:13
days, Chapter Opener, 4
Activities, 4 Lessons, Quiz,
Review, Test
Lessons: Objectives Key Vocabulary Additional Online
Resources
http://www.bigideasmath.com/
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
1. Volumes of Cylinders: Students will find the volume of
cylinders. Students will find the height of a cylinder given the
volume.
2. Volume of Cones: Students will find the volume of cones.
Students will find the height of a cone given the volume.
3. Volume of Spheres: Students will find the volume of a sphere.
Students will find the radius of a sphere given the volume.
4. Surface Areas and Volumes of Similar Solids: Students will
understand the relationship between surface areas of similar
solids. Students will understand the relationship between volumes
of similar solids. Students will use properties of similar solids
to find missing measures.
sphere hemisphere similar solids
Scaling Away at: http://illuminations.nctm.org/
Online math skill practice at:
https://www.ixl.com/standards/new-jersey/math/grade-8 A library of
interactive, web-based virtual manipulatives at:
http://nlvm.usu.edu/en/nav/vlibrary.html
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter 16
Lessons 7
Chapter Content: Exponents and Scientific Notation
Domain/ Common Core State Standards
Suggested days for topic:18 days, Chapter Opener, 7
http://illuminations.nctm.org/http://illuminations.nctm.org/https://www.ixl.com/standards/new-jersey/math/grade-8https://www.ixl.com/standards/new-jersey/math/grade-8https://www.ixl.com/standards/new-jersey/math/grade-8http://nlvm.usu.edu/en/nav/vlibrary.htmlhttp://nlvm.usu.edu/en/nav/vlibrary.html
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
Expressions and Equations/8.EE.1, 8.EE.3, 8.EE.4
Activities, 7 Lessons, Quiz, Review, Test
Lessons: Essential Questions Resources, Materials, & Games
Assessments 1. Exponents: How can you use exponents to
write numbers?
2. Product of Powers Property: How can you use deductive
reasoning to observe patterns and write general rules involving
properties of exponents?
3. Quotient of Powers Property: How can you divide two powers
that have the same base?
4. Zero and Negative Exponents: How can you evaluate a nonzero
number with an exponent of zero? How can you evaluate a nonzero
number with a negative integer exponent?
5. Reading Scientific Notation: How can you read numbers that
are written in scientific notation?
6. Writing Scientific Notation: How can you write a number in
scientific notation?
7. Operations in Scientific Notation:
How can you perform operations with numbers written in
scientific notation?
Resources Big Ideas Student Text Big Ideas Record & Practice
Journal Big Ideas Resources by Chapter and Performance
Tasks Online Account
Materials & Manipulatives Calculators Strips of paper Unit
Cubes Containers containing different liquids (3) Meter sticks (3)
Metric Ruler pH Meter Powers of Ten video
Differentiation Opportunities
Skills Review and Basic Skills Handbook Lesson Tutorials
(online) Intensive Intervention Activities (online) Differentiating
the Lesson (online) Enrichment and Extension
Online Resources
Dynamic Classroom (technology) Game Closet
Check It Out: Lesson Tutorials at www.bigideasmath.com
Summative What You Learned Before Chapter Test Quizzes Standards
Assessment Formative Discovery Activity Observation and “What’s
Your Answer?” Responses Guided Practice Observation Lesson Summary
Responses Homework
http://www.bigideasmath.com/
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
SEVENTH GRADE “Pre-Algebra” MATHEMATICS Chapter 16
Lessons 7
Chapter Content: Exponents and Scientific Notation
Domain/ Common Core State Standards Expressions and
Equations/8.EE.1, 8.EE.3, 8.EE.4
Suggested days for topic:18 days, Chapter Opener, 7 Activities,
7 Lessons, Quiz, Review, Test
Lessons: Objectives Key Vocabulary Additional Online
Resources
-
Medford Lakes School District
Math Curriculum Guide – Pre Algebra Grade 7
Written by: Kathy O’Brien
Text/Program: “Big Ideas”
BOE Approved 8/19/15
1. Exponents: Students will write expressions involving integer
exponents and evaluate powers.
2. Product of Powers Property: Students will use the Product of
Powers Property, the Power of a Power Property, and the Power of a
Product Property to simplify expressions.
3. Quotient of Powers Property: Students will use the Quotient
of Powers Property to simplify expressions.
4. Zero and Negative Exponents: Students will use the
definitions of zero and negative exponents to evaluate and simplify
expressions.
5. Reading Scientific Notation: Students will read numbers in
scientific notation and write them in standard form. Students will
compare numbers in scientific notation.
6. Writing Scientific Notation: Students will convert numbers in
standard form to scientific notation.
7. Operations in Scientific Notation:
Students will add, subtract, multiply and divide numbers written
in scientific notation.
power base exponent scientific notation
Online math skill practice at:
https://www.ixl.com/standards/new-jersey/math/grade-8 A library of
interactive, web-based virtual manipulatives at:
http://nlvm.usu.edu/en/nav/vlibrary.html
https://www.ixl.com/standards/new-jersey/math/grade-8https://www.ixl.com/standards/new-jersey/math/grade-8https://www.ixl.com/standards/new-jersey/math/grade-8http://nlvm.usu.edu/en/nav/vlibrary.htmlhttp://nlvm.usu.edu/en/nav/vlibrary.html