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.
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Unit 1 |
Rational Numbers |
September |
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Chapter 2 |
Concepts |
CC Standards |
Big Ideas Resources |
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2.1 |
Rational Numbers |
7.NS.2b, 7.NS.2d |
Pages 44-49 |
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2.2 |
Adding Rational Numbers |
7.NS.1a,b,d; 7.NS.3 |
Pages 50-55 |
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2.3 |
Subtracting Rational Numbers |
7.NS.1c,d; 7.NS.3 |
Pages 58-63 |
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2.4 |
Multiplying and Dividing Rational Numbers |
7.NS.2a,b,c; 7.NS.3 |
Pages 64-69 |
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Unit 2 |
Ratios and Proportions |
September |
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Chapter 5 |
Concepts |
CC Standards |
Big Ideas Resources |
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5.1 |
Ratios and Rates |
7.RP.1 |
Pages 162-169 |
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5.2 |
Proportions |
7.RP.2a |
Pages 170-177 |
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5.3 |
Writing Proportions |
7.RP.2c, 7.RP.3 |
Pages 178-183 |
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5.4 |
Solving Proportions |
7.RP.2b,c |
Pages 186-191 |
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5.5 |
Slope |
7.RP.2b |
Pages 186-197 |
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5.6 |
Direct Variation |
7.RP.2.a,b,c,d |
Pages 198-203 |
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Chapter 7 |
Concepts |
CC Standards |
Big Ideas Resources |
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7.5 |
Scale Drawings |
7.G.1 |
Pages 298-305 |
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Unit 3 |
Graphing Linear Equations |
Sept - Oct |
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Chapter 2 |
Concepts |
CC Standards |
Big Ideas Resources |
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2.1 |
Graphing Linear Equations |
A.CED.2, A.REI.10 |
Pages 42-47 |
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2.2 |
Slope of a Line |
F.IF.4,6 |
Pages 48-55 |
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2.3 |
Graphing Linear Equations in Slope-Intercept Form |
A.CED.2,A.REI.10,F.IF.4 |
Pages 58-63 |
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2.4 |
Graphing Linear Equations in Standard Form |
A.CED.2,A.REI.10,F.IF.4 |
Pages 64-69 |
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2.5 |
Writing Equations in Slope-Intercept Form |
8.F.3,A.CED.2,3 |
Pages 72-77 |
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2.6 |
Writing Equations in Point-Slope Form |
A.CED.2,A.REI.10,F.IF.4 |
Pages 78-83 |
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2.7 |
Solving Real-Life Problems |
8.F.4,A.CED.2,F.IF.4 |
Pages 86-91 |
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Unit 4 |
Percents |
October |
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Chapter 6 |
Concepts |
CC Standards |
Big Ideas Resources |
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6.1 |
Percents and Decimals |
7.EE.3 |
Pages 214-219 |
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6.2 |
Comparing and Ordering Fractions, Decimals, and Percents |
7.EE.3 |
Pages 220-225 |
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6.3 |
The Percent Proportion |
7.RP.3 |
Pages 226-231 |
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6.4 |
The Percent Equation |
7.RP.3, 7.EE.3 |
Pages 232-237 |
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6.5 |
Percents of Increase and Decrease |
7.RP.3 |
Pages 240-245 |
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6.6 |
Discounts and Markups |
7.RP.3 |
Pages 246-251 |
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6.7 |
Simple Interest |
7.RP.3 |
Pages 252-257 |
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Unit 5 |
Probability & Statistics |
October |
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Chapter 10 |
Concepts |
CC Standards |
Big Ideas Resources |
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10.1 |
Outcomes and Events |
7.SP.5 |
Pages 400-405 |
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10.2 |
Probability |
7.SP.5, 7.SP.7a |
Pages 406-411 |
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10.3 |
Experimental and Theoretical Probability |
7.SP.5,6,7a,7b |
Pages 412-419 |
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10.4 |
Compound Events |
7.SP.8a, 7.SP.8b |
Pages 420-427 |
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10.5 |
Independent and Dependent Events |
7.SP.8a, 7.SP.8b |
Pages 428-435 |
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10.6 |
Samples and Populations |
7.SP.1, 7.SP.2 |
Pages 440-445 |
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10.7 |
Comparing Populations |
7.SP.3, 7.SP.4 |
Pages 448-453 |
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End of Quarter 1 |
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Unit 6 |
Volume and Surface Area |
November |
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Chapter 9 |
Concepts |
CC Standards |
Big Ideas Resources |
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9.1 |
Surface Areas of Prisms |
7.G.6 |
Pages 354-361 |
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9.2 |
Surface Areas of Pyramids |
7.G.6 |
Pages 362-367 |
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9.3 |
Surface Areas of Cylinders |
7.G.4 |
Pages 368-373 |
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9.4 |
Volume of Prisms |
7.G.6 |
Pages 376-381 |
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9.5 |
Volumes of Pyramids |
7.G.6 |
Pages 382-387 |
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Chapter 15 |
Concepts |
CC Standards |
Big Ideas Resources |
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15.1 |
Volumes of Cylinders |
8.G.9 |
Pages 672-677 |
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15.2 |
Volume of Cones |
8.G.9 |
Pages 678-685 |
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15.3 |
Volumes of Spheres |
8.G.9 |
Pages 686-691 |
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15.4 |
Surface Areas & Volumes of Similar Solids |
8.G.9 |
Pages 692-699 |
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Unit 7 |
Solving Linear Equations |
November |
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Chapter 1 |
Concepts |
CC Standards |
Big Ideas Resources |
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1.1 |
Solving Simple Equations |
A.CED.1, A.REI.1,3 |
Pages 02-09 |
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1.2 |
Solving Multi-Step Equations |
A.CED.1,A.REI.1,3 |
Pages 10-15 |
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1.3 |
Solving Equations with Variables on Both Sides |
A.CED.1,A.REI.1,3 |
Pages 18-23 |
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1.4 |
Rewriting Equations and Formulas |
A.CED.4 |
Pages 26-28 |
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Unit 8 |
Solving Linear Inequalities |
December |
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Chapter 4 |
Concepts |
CC Standards |
Big Ideas Resources |
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4.1 |
Writing & Graphing Inequalities |
7.EE.4b |
Pages 124-129 |
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4.2 |
Solving Inequalities Using Addition or Subtraction |
7.EE.4b |
Pages 130-135 |
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4.3 |
Solving Inequalities Using Multiplication or Division |
7.EE.4b |
Pages 138-145 |
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Chapter 3 |
Concepts |
CC Standards |
Big Ideas Resources |
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3.1 |
Writing and Graphing Inequalities |
A.CED.1,3 |
Pages 104-109 |
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3.2 |
Solving Inequalities Using Addition or Subtraction |
A.CED.1,3,A.REI.3 |
Pages 110-115 |
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3.3 |
Solving Inequalities Using Multiplication or Division |
A.CED.1,3,A.REI.3 |
Pages 116-125 |
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3.4 |
Solving Multi-Step Inequalities |
A.CED.1,3,A.REI.3 |
Pages 126-131 |
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3.5 |
Graphing Linear Inequalities in Two Variables |
A.REI.12 |
Pages 136-143 |
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Unit 9 |
Linear Functions |
Dec - Jan |
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Chapter 5 |
Concepts |
CC Standards |
Big Ideas Resources |
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5.1 |
Domain and Range of a Function |
8.F.1,F.IF.1,F.IF.5 |
Pages 202-207 |
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5.2 |
Discrete and Continuous Domains |
8.F.1,F.IF.1,5 |
Pages 210-215 |
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5.3 |
Linear Function Patterns |
8.F.3,4,F.BF.1a,F.LE.2 |
Pages 216-221 |
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5.4 |
Function Notation |
F.BF.3,F.IF.1,F.IF2,7b |
Pages 224-235 |
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5.5 |
Comparing Linear and Nonlinear Functions |
8.F.3,FLE.1b |
Pages 236-241 |
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5.6 |
Arithmetic Sequences |
F.BF.2,F.IF.3,F.L.2 |
Pages 242-249 |
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End of Quarter 2 |
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Unit 10 |
Law of Exponents, Scientific Notation, Exponential Functions |
January |
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Chapter 16 |
Concepts |
CC Standards |
Big Ideas Resources |
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16.1 |
Exponents |
8.EE.1 |
Pages 710-715 |
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16.2 |
Product of Powers Property |
8.EE.1 |
Pages 716-721 |
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16.3 |
Quotient of Powers Property |
8.EE.1 |
Pages 722-727 |
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16.4 |
Zero & Negative Exponents |
8.EE.1 |
Pages 728-733 |
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16.5 |
Reading Scientific Notation |
8.EE.3,8.EE.4 |
Pages 736-741 |
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16.6 |
Writing Scientist Notation |
8.EE.3,8.EE.4 |
Pages 742-747 |
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16.7 |
Operations in Scientific Notation |
8.EE.3,8.EE.4 |
Pages 748-753 |
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Chapter 6 |
Concepts |
CC Standards |
Big Ideas Resources |
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6.4 |
Exponential Functions |
A.REI.3,11,F.BF.3,F.IF7e,F.LE1a,2 |
Pages 284-293 |
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6.5 |
Exponential Growth |
A.SSE.1a,1b,F.IF.7e |
Pages 294-299 |
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6.6 |
Exponential Decay |
A.SSE.1a,1b,F.IF.7e |
Pages 300-305 |
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6.7 |
Geometric Sequences |
F.BF.2,F.IF.3,F.LE.2 |
Pages 306-311 |
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Floater |
Angle Relationships |
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Unit 11 |
Polynomials |
Jan - Feb |
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Chapter 7 |
Concepts |
CC Standards |
Big Ideas Resources |
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7.1 |
Polynomials |
A.SSE.1a |
Pages 328-333 |
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7.2 |
Adding and subtracting Polynomials |
A.APR.1 |
Pages 334-339 |
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7.3 |
Multiplying Polynomials |
A.APR.1 |
Pages 340-347 |
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7.4 |
Special Products of Polynomials |
A.APR.1 |
Pages 348-353 |
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7.5 |
Solving Polynomials Equations in Factored Form |
A.REI.4b |
Pages 356-361 |
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7.6 |
Factoring Polynomials Using the GCF |
A.REI.4b,A.SSE.3a |
Pages 362-367 |
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7.7 |
Factoring x^2 + bx + c |
A.REI.4b,A.SSE.3a |
Pages 368-375 |
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7.8 |
Factoring ax^2 + bx + c |
A.REI.4b,A.SSE.3a |
Pages 376-381 |
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7.9 |
Factoring Special Products |
A.REI.4b,A.SSE.2,3a |
Pages 382- 387 |
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Unit 12 |
Graphing Quadratic Functions |
Feb - Mar |
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Chapter 8 |
Concepts |
CC Standards |
Big Ideas Resources |
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8.1 |
Graphing y = ax^2 |
F.BF.3 |
Pages 402-409 |
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8.2 |
Focus of a Parabola |
F.IF.4 |
Pages 410-411 |
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8.3 |
Graphing y = ax^2 + c |
F.BF.3 |
Pages 416-421 |
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8.4 |
Graphing y = ax^2 + bx + c |
F.BF.3,F.IF.4,7a |
Pages 424-431 |
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8.5 |
Comparing Linear, Exponential, and Quadratic Functions |
F.IF.4,6,7a,F.LE.3 |
Pages 434-441 |
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Unit 13 |
Solving Quadratic Equations |
March |
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Chapter 9 |
Concepts |
CC Standards |
Big Ideas Resources |
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9.1 |
Solving Quadratic Equations by Graphing |
A.REI.4b, A.REI.11 |
Pages 454-461 |
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9.2 |
Solving Quadratic Equations Using Square Roots |
A.REI.4b |
Pages 462-467 |
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9.3 |
Solving Quadratic Equations by Completing the Square |
A.REI.4a,4b,A.SSE.3b,F.IF.8a |
Pages 468-473 |
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9.4 |
Solving Quadratic Equations Using the Quadratic Formula |
A.REI.4a,4b |
Pages 476-483 |
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9.5 |
Solving Systems of Linear and Quadratic Equations |
A.REI.7 |
Pages 486-491 |
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End of Quarter 3 |
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Unit 14 |
Radicals, Pythagorean Thm, Radical Functions/Equations |
April |
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Chapter 14 |
Concepts |
CC Standards |
Big Ideas Resources |
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14.1 |
Finding Square Roots |
8.EE.2 |
Pages 626-631 |
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14.2 |
Finding Cube Roots |
8.EE.2 |
Pages 632-637 |
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14.3 |
The Pythagorean Theorem |
8.EE.2,8.EE.6,7,8 |
Pages 638-645 |
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14.4 |
Approximating Square Roots |
8.NS.1,8.NS.2,8.EE.2 |
Pages 646-655 |
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14.5 |
Using the Pythagorean Theorem |
8.EE.2,8.G.6,7,8 |
Pages 656-661 |
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Unit 15 |
Rational Equations and Functions |
April |
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Chapter 11 |
Concepts |
CC Standards |
Big Ideas Resources |
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11.1 |
Direct and Inverse Variation |
A.REI.10 |
Pages 542-549 |
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11.2 |
Graphing Rational Functions |
A.REI.10,F.BF.4a |
Pages 550-557 |
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11.3 |
Simplifying Rational Expressions |
A.SSE.2 |
Pages 560-565 |
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11.4 |
Multiplying and Dividing Rational Expressions |
A.SSE.2 |
Pages 568-573 |
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11.5 |
Dividing Polynomials |
A.SSE.2 |
Pages 574-579 |
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11.6 |
Adding and Subtracting Rational Expressions |
A.SSE.2 |
Pages 580-587 |
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11.7 |
Solving Rational Equations |
A.CED.1 |
Pages 588-593 |
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Unit 16 |
Data Analysis and Displays |
May - June |
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Chapter 12 |
Concepts |
CC Standards |
Big Ideas Resources |
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12.1 |
Measures of Central Tendency |
S.ID.2,3 |
Pages 606-611 |
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12.2 |
Measure of Dispersion |
S.ID.2,3 |
Pages 612-617 |
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12.3 |
Box-and -Whisker Plots |
S.ID.1,2,3 |
Pages 618-625 |
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12.4 |
Shapes of Distributions |
S.ID.2,3 |
Pages 626-633 |
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12.5 |
Scatter Plots and Lines of Fit |
8.SP.1,S.ID.6a,6c |
Pages 636-643 |
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12.6 |
Analyzing Lines of Fit |
S.ID.6b,8,9 |
Pages 644-651 |
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12.7 |
Two-Way Tables |
8.SP.4,S.ID.5 |
Pages 652-657 |
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12.8 |
Choosing a Data Display |
S.ID.1 |
Pages 658-664 |