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. The final exam is a local departmental exam.
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 4449 
2.2 
Adding Rational Numbers 
7.NS.1a,b,d; 7.NS.3 
Pages 5055 
2.3 
Subtracting Rational Numbers 
7.NS.1c,d; 7.NS.3 
Pages 5863 
2.4 
Multiplying and Dividing Rational Numbers 
7.NS.2a,b,c; 7.NS.3 
Pages 6469 
Unit 2 
Ratios and Proportions 
September 

Chapter 5 
Concepts 
CC Standards 
Big Ideas Resources 
5.1 
Ratios and Rates 
7.RP.1 
Pages 162169 
5.2 
Proportions 
7.RP.2a 
Pages 170177 
5.3 
Writing Proportions 
7.RP.2c, 7.RP.3 
Pages 178183 
5.4 
Solving Proportions 
7.RP.2b,c 
Pages 186191 
5.5 
Slope 
7.RP.2b 
Pages 186197 
5.6 
Direct Variation 
7.RP.2.a,b,c,d 
Pages 198203 
Chapter 7 
Concepts 
CC Standards 
Big Ideas Resources 
7.5 
Scale Drawings 
7.G.1 
Pages 298305 
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 4247 
2.2 
Slope of a Line 
F.IF.4,6 
Pages 4855 
2.3 
Graphing Linear Equations in SlopeIntercept Form 
A.CED.2,A.REI.10,F.IF.4 
Pages 5863 
2.4 
Graphing Linear Equations in Standard Form 
A.CED.2,A.REI.10,F.IF.4 
Pages 6469 
2.5 
Writing Equations in SlopeIntercept Form 
8.F.3,A.CED.2,3 
Pages 7277 
2.6 
Writing Equations in PointSlope Form 
A.CED.2,A.REI.10,F.IF.4 
Pages 7883 
2.7 
Solving RealLife Problems 
8.F.4,A.CED.2,F.IF.4 
Pages 8691 
Unit 4 
Percents 
October 

Chapter 6 
Concepts 
CC Standards 
Big Ideas Resources 
6.1 
Percents and Decimals 
7.EE.3 
Pages 214219 
6.2 
Comparing and Ordering Fractions, Decimals, and Percents 
7.EE.3 
Pages 220225 
6.3 
The Percent Proportion 
7.RP.3 
Pages 226231 
6.4 
The Percent Equation 
7.RP.3, 7.EE.3 
Pages 232237 
6.5 
Percents of Increase and Decrease 
7.RP.3 
Pages 240245 
6.6 
Discounts and Markups 
7.RP.3 
Pages 246251 
6.7 
Simple Interest 
7.RP.3 
Pages 252257 
Unit 5 
Probability & Statistics 
October 

Chapter 10 
Concepts 
CC Standards 
Big Ideas Resources 
10.1 
Outcomes and Events 
7.SP.5 
Pages 400405 
10.2 
Probability 
7.SP.5, 7.SP.7a 
Pages 406411 
10.3 
Experimental and Theoretical Probability 
7.SP.5,6,7a,7b 
Pages 412419 
10.4 
Compound Events 
7.SP.8a, 7.SP.8b 
Pages 420427 
10.5 
Independent and Dependent Events 
7.SP.8a, 7.SP.8b 
Pages 428435 
10.6 
Samples and Populations 
7.SP.1, 7.SP.2 
Pages 440445 
10.7 
Comparing Populations 
7.SP.3, 7.SP.4 
Pages 448453 
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 354361 
9.2 
Surface Areas of Pyramids 
7.G.6 
Pages 362367 
9.3 
Surface Areas of Cylinders 
7.G.4 
Pages 368373 
9.4 
Volume of Prisms 
7.G.6 
Pages 376381 
9.5 
Volumes of Pyramids 
7.G.6 
Pages 382387 
Chapter 15 
Concepts 
CC Standards 
Big Ideas Resources 
15.1 
Volumes of Cylinders 
8.G.9 
Pages 672677 
15.2 
Volume of Cones 
8.G.9 
Pages 678685 
15.3 
Volumes of Spheres 
8.G.9 
Pages 686691 
15.4 
Surface Areas & Volumes of Similar Solids 
8.G.9 
Pages 692699 
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 0209 
1.2 
Solving MultiStep Equations 
A.CED.1,A.REI.1,3 
Pages 1015 
1.3 
Solving Equations with Variables on Both Sides 
A.CED.1,A.REI.1,3 
Pages 1823 
1.4 
Rewriting Equations and Formulas 
A.CED.4 
Pages 2628 
Unit 8 
Solving Linear Inequalities 
December 

Chapter 4 
Concepts 
CC Standards 
Big Ideas Resources 
4.1 
Writing & Graphing Inequalities 
7.EE.4b 
Pages 124129 
4.2 
Solving Inequalities Using Addition or Subtraction 
7.EE.4b 
Pages 130135 
4.3 
Solving Inequalities Using Multiplication or Division 
7.EE.4b 
Pages 138145 
Chapter 3 
Concepts 
CC Standards 
Big Ideas Resources 
3.1 
Writing and Graphing Inequalities 
A.CED.1,3 
Pages 104109 
3.2 
Solving Inequalities Using Addition or Subtraction 
A.CED.1,3,A.REI.3 
Pages 110115 
3.3 
Solving Inequalities Using Multiplication or Division 
A.CED.1,3,A.REI.3 
Pages 116125 
3.4 
Solving MultiStep Inequalities 
A.CED.1,3,A.REI.3 
Pages 126131 
3.5 
Graphing Linear Inequalities in Two Variables 
A.REI.12 
Pages 136143 
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 202207 
5.2 
Discrete and Continuous Domains 
8.F.1,F.IF.1,5 
Pages 210215 
5.3 
Linear Function Patterns 
8.F.3,4,F.BF.1a,F.LE.2 
Pages 216221 
5.4 
Function Notation 
F.BF.3,F.IF.1,F.IF2,7b 
Pages 224235 
5.5 
Comparing Linear and Nonlinear Functions 
8.F.3,FLE.1b 
Pages 236241 
5.6 
Arithmetic Sequences 
F.BF.2,F.IF.3,F.L.2 
Pages 242249 
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 710715 
16.2 
Product of Powers Property 
8.EE.1 
Pages 716721 
16.3 
Quotient of Powers Property 
8.EE.1 
Pages 722727 
16.4 
Zero & Negative Exponents 
8.EE.1 
Pages 728733 
16.5 
Reading Scientific Notation 
8.EE.3,8.EE.4 
Pages 736741 
16.6 
Writing Scientist Notation 
8.EE.3,8.EE.4 
Pages 742747 
16.7 
Operations in Scientific Notation 
8.EE.3,8.EE.4 
Pages 748753 
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 284293 
6.5 
Exponential Growth 
A.SSE.1a,1b,F.IF.7e 
Pages 294299 
6.6 
Exponential Decay 
A.SSE.1a,1b,F.IF.7e 
Pages 300305 
6.7 
Geometric Sequences 
F.BF.2,F.IF.3,F.LE.2 
Pages 306311 
Floater 
Angle Relationships 

Unit 11 
Polynomials 
Jan  Feb 

Chapter 7 
Concepts 
CC Standards 
Big Ideas Resources 
7.1 
Polynomials 
A.SSE.1a 
Pages 328333 
7.2 
Adding and subtracting Polynomials 
A.APR.1 
Pages 334339 
7.3 
Multiplying Polynomials 
A.APR.1 
Pages 340347 
7.4 
Special Products of Polynomials 
A.APR.1 
Pages 348353 
7.5 
Solving Polynomials Equations in Factored Form 
A.REI.4b 
Pages 356361 
7.6 
Factoring Polynomials Using the GCF 
A.REI.4b,A.SSE.3a 
Pages 362367 
7.7 
Factoring x^2 + bx + c 
A.REI.4b,A.SSE.3a 
Pages 368375 
7.8 
Factoring ax^2 + bx + c 
A.REI.4b,A.SSE.3a 
Pages 376381 
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 402409 
8.2 
Focus of a Parabola 
F.IF.4 
Pages 410411 
8.3 
Graphing y = ax^2 + c 
F.BF.3 
Pages 416421 
8.4 
Graphing y = ax^2 + bx + c 
F.BF.3,F.IF.4,7a 
Pages 424431 
8.5 
Comparing Linear, Exponential, and Quadratic Functions 
F.IF.4,6,7a,F.LE.3 
Pages 434441 
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 454461 
9.2 
Solving Quadratic Equations Using Square Roots 
A.REI.4b 
Pages 462467 
9.3 
Solving Quadratic Equations by Completing the Square 
A.REI.4a,4b,A.SSE.3b,F.IF.8a 
Pages 468473 
9.4 
Solving Quadratic Equations Using the Quadratic Formula 
A.REI.4a,4b 
Pages 476483 
9.5 
Solving Systems of Linear and Quadratic Equations 
A.REI.7 
Pages 486491 
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 626631 
14.2 
Finding Cube Roots 
8.EE.2 
Pages 632637 
14.3 
The Pythagorean Theorem 
8.EE.2,8.EE.6,7,8 
Pages 638645 
14.4 
Approximating Square Roots 
8.NS.1,8.NS.2,8.EE.2 
Pages 646655 
14.5 
Using the Pythagorean Theorem 
8.EE.2,8.G.6,7,8 
Pages 656661 
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 542549 
11.2 
Graphing Rational Functions 
A.REI.10,F.BF.4a 
Pages 550557 
11.3 
Simplifying Rational Expressions 
A.SSE.2 
Pages 560565 
11.4 
Multiplying and Dividing Rational Expressions 
A.SSE.2 
Pages 568573 
11.5 
Dividing Polynomials 
A.SSE.2 
Pages 574579 
11.6 
Adding and Subtracting Rational Expressions 
A.SSE.2 
Pages 580587 
11.7 
Solving Rational Equations 
A.CED.1 
Pages 588593 
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 606611 
12.2 
Measure of Dispersion 
S.ID.2,3 
Pages 612617 
12.3 
Boxand Whisker Plots 
S.ID.1,2,3 
Pages 618625 
12.4 
Shapes of Distributions 
S.ID.2,3 
Pages 626633 
12.5 
Scatter Plots and Lines of Fit 
8.SP.1,S.ID.6a,6c 
Pages 636643 
12.6 
Analyzing Lines of Fit 
S.ID.6b,8,9 
Pages 644651 
12.7 
TwoWay Tables 
8.SP.4,S.ID.5 
Pages 652657 
12.8 
Choosing a Data Display 
S.ID.1 
Pages 658664 