• 6
     
     

    Math 6: In this course students will study the grade 6 Common Core curriculum as mandated by New York State. Topics include: numerical expressions and factors, fractions and decimals, algebraic expressions and properties, areas of polygons, ratios and rates, integers, equations and inequalities, surface area, volume and statistical measures. Conceptual understanding of essential mathematical topics will be developed as well as procedural and fact fluency. The Standards for Mathematical Practice are embedded throughout the lessons.

     

    Please note that the timelines listed below are a guide. Teachers modify their pacing based on student needs in order to ensure concept mastery. 
     

    Unit 1

    Numerical Expressions and Factors

     

     Section 

    Concepts

    CC Standards

    Big Ideas Resources

    1.1

    Whole Number Operations

    6.NS.2

    Pages 2-9

    1.2

    Powers and Exponents

    6.EE.1

    Pages 10-15

    1.3

    Order of Operations

    6.EE.1

    Pages 16-21

    1.4

    Prime Factorization

    6.NS.4

    Pages 24-29

    1.5

    Greatest Common Factor

    6.NS.4; 6.EE.2b

    Pages 30-35

    1.6

    Least Common Multiple

    6.NS.4

    Pages 36-41

    Unit 2

    Fractions and Decimals

     

     Section 

    Concepts

    CC Standards

    Big Ideas Resources

    2.1

    Multiplying Fractions

    6.NS.1

    Pages 54-61

    2.2

    Dividing Fractions

    6.NS.1

    Pages 62-69

    2.3

    Dividing Mixed Numbers

    6.NS.1

    Pages 70-75

    2.4

    Adding and Subtracting Decimals

    6.NS.3

    Pages 78-83

    2.5

    Multiplying Decimals

    6.NS.3

    Pages 84-91

    2.6

    Dividing Decimals

    6.NS.3

    Pages 92-99

    Unit 3

    Algebraic Expressions and Properties

     

     Section 

    Concepts

    CC Standards

    Big Ideas Resources

    3.1

    Algebraic Expressions

    6.EE.2c

    Pages 110-117

    3.2

    Writing Expressions

    6.EE.2a

    Pages 118-123

    3.3

    Properties of Addition and Multiplication

    6.EE.3; 6.EE.4

    Pages 126-131

    3.4

    The Distributive Property

    6.NS.4; 6.EE.2b; 6.EE.3; 6.EE.4

    Pages 132-139

    3.4 ext.

    Factoring Expressions

    6.NS.4; 6.EE.3; 6.EE.4

    Pages 140-141

    Unit 4

    Areas of Polygons

     

     Section 

    Concepts

    CC Standards

    Big Ideas Resources

    4.1

    Areas of Parallelograms

    6.G.1

    Pages 152-157

    4.2

    Areas of Triangles

    6.G.1

    Pages 158-163

    4.3

    Areas of Trapezoids

    6.G.1

    Pages 166-171

    4.3 ext.

    Areas of Composite Figures

    6.G.1

    Pages 172-173

    4.4

    Polygons in the Coordinate Plane

    6.G.3

    Pages 174-179

    Unit 5

    Ratios and Rates

     

     Section 

    Concepts

    CC Standards

    Big Ideas Resources

    5.1

    Ratios

    6.RP.1

    Pages 190-195

    5.2

    Ratio Tables

    6.RP.1; 6.RP.3a

    Pages 196-203

    5.3

    Rates

    6.RP.2; 6.RP.3a; 6.RP.3b

    Pages 204-209

    5.4

    Comparing and Graphing Ratios

    6.RP.2; 6.RP.3a

    Pages 210-215

    5.5

    Percents

    6.RP.3c

    Pages 218-223

    5.6

    Solving Percent Problems

    6.RP.3c

    Pages 224-231

    5.7

    Converting Measures

    6.RP.3d

    Pages 232-237

    Unit 6

    Integers and The Coordinate Plane

     

     Section 

    Concepts

    CC Standards

    Big Ideas Resources

    6.1

    Integers

    6.NS.5; 6.NS.6a; 6.NS.6c

    Pages 248-253

    6.2

    Comparing and Ordering Integers

    6.NS.6c; 6.NS.7a; 6.NS.7b

    Pages 254-259

    6.3

    Fractions and Decimals on the Number Line

    6.NS.5; 6.NS.6a; 6.NS.6c; 6.NS.7a; 6.NS.7b

    Pages 260-265

    6.4

    Absolute Value

    6.NS.7c; 6.NS.7d

    Pages 268-273

    6.5

    The Coordinate Plane

    6.NS.6b; 6.NS.6c; 6.NS.8

    Pages 274-281

    6.5 ext.

    Reflecting Points in the Coordinate Plane

    6.NS.6b

    Pages 282-283

    Unit 7

     Equations and Inequalities

     

     Section 

    Concepts

    CC Standards

    Big Ideas Resources

    7.1

    Writing Equations in One Variable

    6.EE.6

    Pages 294-299

    7.2

    Solving Equations Using Addition or Subtraction

    6.EE.5; 6.EE.7

    Pages 300-307

    7.3

    Solving Equations Using Multiplication or Division

    6.EE.5; 6.EE.7

    Pages 308-313

    7.4

    Writing Equations in Two Variables

    6.RP.3a; 6.EE.9

    Pages 314-341

    7.5

    Writing and Graphing Inequalities

    6.EE.5; 6.EE.8

    Pages 324-331

    7.6

    Solving Inequalities Using Addition or Subtraction

    6.EE.5; 6.EE.8

    Pages 332-337

    7.7

    Solving Inequalities Using Multiplication or Division

    6.EE.5; 6.EE.8

    Pages 338-343

    Unit 8

    Surface Area and Volume

     

     Section 

    Concepts

    CC Standards

    Big Ideas Resources

    8.1

    Three-Dimensional Figures

    6.G.4

    Pages 354-359

    8.2

    Surface Areas of Prisms

    6.G.4

    Pages 360-365

    8.3

    Surface Areas of Pyramids

    6.G.4

    Pages 368-373

    8.4

    Volumes of Rectangular Prisms

    6.G.2

    Pages 374-379

    Unit 9

    Statistical Measures

     

     Section 

    Concepts

    CC Standards

    Big Ideas Resources

    9.1

    Introduction to Statistics

    6.SP.1; 6.SP.4

    Pages 390-395

    9.2

    Mean

    6.SP.2; 6.SP.3; 6.SP.5a; 6.SP.5c

    Pages 396-401

    9.3

    Measures of Center

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

    Pages 402-409

    9.4

    Measures of Variation

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

    Pages 412-417

    9.5

    Mean Absolute Deviation

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

    Pages 418-423

    Unit 10

    Data Displays

     

     Section 

    Concepts

    CC Standards

    Big Ideas Resources

    10.1

    Stem-and-Leaf Plots

    6.SP.4

    Pages 434-439

    10.2

    Histograms

    6.SP.2; 6.SP.4

    Pages 440-447

    10.3

    Shapes of Distributions

    6.SP.2; 6.SP.4; 6.SP.5d

    Pages 450-455

    10.3 ext.

    Choosing Appropriate Measures

    6.SP.5d

    Pages 456-457

    10.4

    Box-and-Whisker Plots

    6.SP.2; 6.SP.4; 6.SP.5c

    Pages 458-465