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Math 6 Adv

Math 6 Adv: In this course students will study the entire grade 6 Common Core curriculum and additional grade 7 topics from the Common Core curriculum. Additional topics include: operations with integers, operations with rational numbers, algebraic expressions, solving two-step equations, ratios and rates, and proportions. The intention of this course is to provide the foundational concepts necessary to prepare students to take Math 7 Adv. in grade 7. Students are expected to demonstrate understanding and proficiency in the topics taught in order to be recommended to take Math 7 Adv. 

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 6 Part B (Ch. 11)

Operations with Integers

 Section 

Concepts

CC Standards

Big Ideas Resources

11.1

Integers and Absolute Value

7.NS.1; 7.NS.2; 7.NS.3

Pages 476-481

11.2

Adding Integers

7.NS.1a; 7.NS.1b, 7.NS.1d; 7.NS.3

Pages 482-487

11.3

Subtracting Integers

7.NS.1c; 7.NS.1d; 7.NS.3

Pages 488-493

11.4

Multiplying Integers

7.NS.2a; 7.NS.2c; 7.NS.3

Pages 496-501

11.5

Dividing Integers

7.NS.2b; 7.NS.3

Pages 502-507

Unit 6 Part C (Ch. 12)

Rational Numbers

Section

Concepts

CC Standards

Big Ideas Resources

12.1

Rational Numbers

7.NS.2b; 7.NS.2d

Pages 520-523

12.2

Adding Rational Numbers

7.NS.1a; 7.NS.1b; 7.NS.1d; 7.NS.3

Pages 524-529

12.3

Subtracting Rational Numbers

7.NS.1c; 7.NS.1d; 7.NS.3

Pages 532-537

12.4

Multiplying and Dividing Rational Numbers

7.NS.2a; 7.NS.2b; 7.NS.2c; 7.NS.3

Pages 538-543

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 7 Part B (Ch. 13)

Expressions and Equations

 Section 

Concepts

CC Standards

Big Ideas Resources

13.1

Algebraic Expressions

7.EE.1; 7.EE.2

Pages 554-559

13.2

Adding and Subtracting Linear Expressions

7.EE.1; 7.EE.2

Pages 560- 565

13.2 ext.

Factoring Expressions

7.EE.1

Pages 566-567

13.3

Solving Equations Using Addition or Subtraction

7.EE.4a

Pages 570-575

13.4

Solving Equations Using Multiplication or Division

7.EE.4a

Pages 576-581

13.5

Solving Two-Step Equations

7.EE.4a

Pages 582-587

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 14 (Ch. 14)

Ratios and Proportions

 Section 

Concepts

CC Standards

Big Ideas Resources

14.1

Ratios and Rates

7.RP.1; 7.RP.3

Pages 598-605

14.2

Proportions

7.RP.2a; 7.RP.2b; 7.RP.2d

Pages 606-611

14.2 ext.

Graphing Proportional Relationships

7.RP.2a; 7.RP.2b; 7.RP.2d

Pages 612-613

14.3

Writing Proportions

7.RP.2c; 7.RP.3

Pages 614-619

14.4

Solving Proportions

7.RP.2b; 7.RP.2c

Pages 622-627

14.5

Slope

7.RP.2b

Pages 628-633

14.6

Direct Variation

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

Pages 634-639

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