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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
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