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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
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