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Algebra 7

Algebra 7: This is a rigorous, fast paced program. Student will complete the Common Core curriculum of grade 7, grade 8 and HS Algebra. Students will take both the NYS Math assessment for grade 7 in May and the Common Core Algebra Regents in June.

 

 


 

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

Rational Numbers

 September

Chapter 2

Concepts

CC Standards

Big Ideas Resources

2.1

Rational Numbers

7.NS.2b, 7.NS.2d

Pages 44-49

2.2

Adding Rational Numbers

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

Pages 50-55

2.3

Subtracting Rational Numbers

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

Pages 58-63

2.4

Multiplying and Dividing Rational Numbers

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

Pages 64-69

Unit 2

Ratios and Proportions

 September 

Chapter 5

Concepts

CC Standards

Big Ideas Resources

5.1

Ratios and Rates

7.RP.1

Pages 162-169

5.2

Proportions

7.RP.2a

Pages 170-177

5.3

Writing Proportions

7.RP.2c, 7.RP.3

Pages 178-183

5.4

Solving Proportions

7.RP.2b,c

Pages 186-191

5.5

Slope

7.RP.2b

Pages 186-197

5.6

Direct Variation

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

Pages 198-203

Chapter 7

Concepts

CC Standards

Big Ideas Resources

7.5

Scale Drawings

7.G.1

Pages 298-305

Unit 3

Graphing Linear Equations

 Sept - Oct

Chapter 2

Concepts

CC Standards

Big Ideas Resources

2.1

Graphing Linear Equations

A.CED.2, A.REI.10

Pages 42-47

2.2

Slope of a Line

F.IF.4,6

Pages 48-55

2.3

Graphing Linear Equations in Slope-Intercept Form

A.CED.2,A.REI.10,F.IF.4

Pages 58-63

2.4

Graphing Linear Equations in Standard Form

A.CED.2,A.REI.10,F.IF.4

Pages 64-69

2.5

Writing Equations in Slope-Intercept Form

8.F.3,A.CED.2,3

Pages 72-77

2.6

Writing Equations in Point-Slope Form

A.CED.2,A.REI.10,F.IF.4

Pages 78-83

2.7

Solving Real-Life Problems

8.F.4,A.CED.2,F.IF.4

Pages 86-91

Unit 4

Percents

October 

Chapter 6

Concepts

CC Standards

Big Ideas Resources

6.1

Percents and Decimals

7.EE.3

Pages 214-219

6.2

Comparing and Ordering Fractions, Decimals, and Percents

7.EE.3

Pages 220-225

6.3

The Percent Proportion

7.RP.3

Pages 226-231

6.4

The Percent Equation

7.RP.3, 7.EE.3

Pages 232-237

6.5

Percents of Increase and Decrease

7.RP.3

Pages 240-245

6.6

Discounts and Markups

7.RP.3

Pages 246-251

6.7

Simple Interest

7.RP.3

Pages 252-257

Unit 5

Probability & Statistics

October  

Chapter 10

Concepts

CC Standards

Big Ideas Resources

10.1

Outcomes and Events

7.SP.5

Pages 400-405

10.2

Probability

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

Pages 406-411

10.3

Experimental and Theoretical Probability

7.SP.5,6,7a,7b

Pages 412-419

10.4

Compound Events

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

Pages 420-427

10.5

Independent and Dependent Events

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

Pages 428-435

10.6

Samples and Populations

7.SP.1, 7.SP.2

Pages 440-445

10.7

Comparing Populations

7.SP.3, 7.SP.4

Pages 448-453

 End of Quarter 1

Unit 6

Volume and Surface Area

November 

Chapter 9

Concepts

CC Standards

Big Ideas Resources

9.1

Surface Areas of Prisms

7.G.6

Pages 354-361

9.2

Surface Areas of Pyramids

7.G.6

Pages 362-367

9.3

Surface Areas of Cylinders

7.G.4

Pages 368-373

9.4

Volume of Prisms

7.G.6

Pages 376-381

9.5

Volumes of Pyramids

7.G.6

Pages 382-387

Chapter 15

Concepts

CC Standards

Big Ideas Resources

15.1

Volumes of Cylinders

8.G.9

Pages 672-677

15.2

Volume of Cones

8.G.9

Pages 678-685

15.3

Volumes of Spheres

8.G.9

Pages 686-691

15.4

Surface Areas & Volumes of Similar Solids

8.G.9

Pages 692-699

Unit 7

Solving Linear Equations

 November 

Chapter 1

Concepts

CC Standards

Big Ideas Resources

1.1

Solving Simple Equations

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

Pages 02-09

1.2

Solving Multi-Step Equations

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

Pages 10-15

1.3

Solving Equations with Variables on Both Sides

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

Pages 18-23

1.4

Rewriting Equations and Formulas

A.CED.4

Pages 26-28

Unit 8

Solving Linear Inequalities

December 

Chapter 4

Concepts

CC Standards

Big Ideas Resources

4.1

Writing & Graphing Inequalities

7.EE.4b

Pages 124-129

4.2

Solving Inequalities Using Addition or Subtraction

7.EE.4b

Pages 130-135

4.3

Solving Inequalities Using Multiplication or Division

7.EE.4b

Pages 138-145

Chapter 3

Concepts

CC Standards

Big Ideas Resources

3.1

Writing and Graphing Inequalities

A.CED.1,3

Pages 104-109

3.2

Solving Inequalities Using Addition or Subtraction

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

Pages 110-115

3.3

Solving Inequalities Using Multiplication or Division

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

Pages 116-125

3.4

Solving Multi-Step Inequalities

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

Pages 126-131

3.5

Graphing Linear Inequalities in Two Variables

A.REI.12

Pages 136-143

Unit 9

Linear Functions

 Dec - Jan

Chapter 5

Concepts

CC Standards

Big Ideas Resources

5.1

Domain and Range of a Function

8.F.1,F.IF.1,F.IF.5

Pages 202-207

5.2

Discrete and Continuous Domains

8.F.1,F.IF.1,5

Pages 210-215

5.3

Linear Function Patterns

8.F.3,4,F.BF.1a,F.LE.2

Pages 216-221

5.4

Function Notation

F.BF.3,F.IF.1,F.IF2,7b

Pages 224-235

5.5

Comparing Linear and Nonlinear Functions

8.F.3,FLE.1b

Pages 236-241

5.6

Arithmetic Sequences

F.BF.2,F.IF.3,F.L.2

Pages 242-249

 End of Quarter 2

Unit 10

Law of Exponents, Scientific Notation, Exponential Functions

January 

Chapter 16

Concepts

CC Standards

Big Ideas Resources

16.1

Exponents

8.EE.1

Pages 710-715

16.2

Product of Powers Property

8.EE.1

Pages 716-721

16.3

Quotient of Powers Property

8.EE.1

Pages 722-727

16.4

Zero & Negative Exponents

8.EE.1

Pages 728-733

16.5

Reading Scientific Notation

8.EE.3,8.EE.4

Pages 736-741

16.6

Writing Scientist Notation

8.EE.3,8.EE.4

Pages 742-747

16.7

Operations in Scientific Notation

8.EE.3,8.EE.4

Pages 748-753

Chapter 6

Concepts

CC Standards

Big Ideas Resources

6.4

Exponential Functions

A.REI.3,11,F.BF.3,F.IF7e,F.LE1a,2

Pages 284-293

6.5

Exponential Growth

A.SSE.1a,1b,F.IF.7e

Pages 294-299

6.6

Exponential Decay

A.SSE.1a,1b,F.IF.7e

Pages 300-305

6.7

Geometric Sequences

F.BF.2,F.IF.3,F.LE.2

Pages 306-311

Floater

Angle Relationships

   

Unit 11

Polynomials

 Jan - Feb

Chapter 7

Concepts

CC Standards

Big Ideas Resources

7.1

 Polynomials

A.SSE.1a

Pages 328-333

7.2

Adding and subtracting Polynomials

A.APR.1

Pages 334-339

7.3

Multiplying Polynomials

A.APR.1

Pages 340-347

7.4

Special Products of Polynomials

A.APR.1

Pages 348-353

7.5

Solving Polynomials Equations in Factored Form

A.REI.4b

Pages 356-361

7.6

Factoring Polynomials Using the GCF

A.REI.4b,A.SSE.3a

Pages 362-367

7.7

Factoring x^2 + bx + c

A.REI.4b,A.SSE.3a

Pages 368-375

7.8

Factoring ax^2 + bx + c

A.REI.4b,A.SSE.3a

Pages 376-381

7.9

Factoring Special Products

A.REI.4b,A.SSE.2,3a

Pages 382- 387

Unit 12

Graphing Quadratic Functions

Feb - Mar 

Chapter 8

Concepts

CC Standards

Big Ideas Resources

8.1

Graphing y = ax^2

F.BF.3

Pages 402-409

8.2

Focus of a Parabola

F.IF.4

Pages 410-411

8.3

Graphing y = ax^2 + c

F.BF.3

Pages 416-421

8.4

Graphing y = ax^2 + bx + c

F.BF.3,F.IF.4,7a

Pages 424-431

8.5

Comparing Linear, Exponential, and Quadratic Functions

F.IF.4,6,7a,F.LE.3

Pages 434-441

Unit 13

Solving Quadratic Equations

March 

Chapter 9

Concepts

CC Standards

Big Ideas Resources

9.1

Solving Quadratic Equations by Graphing

A.REI.4b, A.REI.11

Pages 454-461

9.2

Solving Quadratic Equations Using Square Roots

A.REI.4b

Pages 462-467

9.3

Solving Quadratic Equations by Completing the Square

A.REI.4a,4b,A.SSE.3b,F.IF.8a

Pages 468-473

9.4

Solving Quadratic Equations Using the Quadratic Formula

A.REI.4a,4b

Pages 476-483

9.5

Solving Systems of Linear and Quadratic Equations

A.REI.7

Pages 486-491

End of Quarter 3 

Unit 14

Radicals, Pythagorean Thm, Radical Functions/Equations

 April

Chapter 14

Concepts

CC Standards

Big Ideas Resources

14.1

Finding Square Roots

8.EE.2

Pages 626-631

14.2

Finding Cube Roots

8.EE.2

Pages 632-637

14.3

The Pythagorean Theorem

8.EE.2,8.EE.6,7,8

Pages 638-645

14.4

Approximating Square Roots

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

Pages 646-655

14.5

Using the Pythagorean Theorem

8.EE.2,8.G.6,7,8

Pages 656-661

Unit 15

Rational Equations and Functions

 April

Chapter 11

Concepts

CC Standards

Big Ideas Resources

11.1

Direct and Inverse Variation

A.REI.10

Pages 542-549

11.2

Graphing Rational Functions

A.REI.10,F.BF.4a

Pages 550-557

11.3

Simplifying Rational Expressions

A.SSE.2

Pages 560-565

11.4

Multiplying and Dividing Rational Expressions

A.SSE.2

Pages 568-573

11.5

Dividing Polynomials

A.SSE.2

Pages 574-579

11.6

Adding and Subtracting Rational Expressions

A.SSE.2

Pages 580-587

11.7

Solving Rational Equations

A.CED.1

Pages 588-593

Unit 16

Data Analysis and Displays

May - June

Chapter 12

Concepts

CC Standards

Big Ideas Resources

12.1

Measures of Central Tendency

S.ID.2,3

Pages 606-611

12.2

Measure of Dispersion

S.ID.2,3

Pages 612-617

12.3

Box-and -Whisker Plots

S.ID.1,2,3

Pages 618-625

12.4

Shapes of Distributions

S.ID.2,3

Pages 626-633

12.5

Scatter Plots and Lines of Fit

8.SP.1,S.ID.6a,6c

Pages 636-643

12.6

Analyzing Lines of Fit

S.ID.6b,8,9

Pages 644-651

12.7

Two-Way Tables

8.SP.4,S.ID.5

Pages 652-657

12.8

Choosing a Data Display

S.ID.1

Pages 658-664