Attachment A

 
Alignment Modifications to Regents-Approved Prekindergarten through Grade 8

 

 

Global change:  Change i.e., to e.g., throughout the entire document.

 
 

 

 

 

 


Performance Indicator

“OLD” Wording

“NEW” Wording

3.RP.8

Justify an argument by trying many cases

Support an argument by trying many cases

3.N.14

Explore equivalent fractions

Explore equivalent fractions (½, ⅓, ¼)

4.RP.8

Justify an argument by trying many cases

Support an argument by trying many cases

5.RP.2

Understand that mathematical statements can be justified, using  models, facts and relationships to explain their thinking

Understand that mathematical statements can be supported, using  models, facts, and relationships to explain their thinking

5.RP.8

Justify an argument through examples/counterexamples and special cases

 

Support an argument through examples/counterexamples and special cases

 

5.R.1

Use physical objects, drawings, charts, tables, graphs, symbols, equations, and technology as representations

Use physical objects, drawings, charts, tables, graphs, symbols, equations, and objects created using technology as representations

5.R.5

Use models to explore problem situations

Use representations to explore problem situations

5.N.26

Estimate sums differences, products, and quotients of decimals

Estimate sums, differences, products, and quotients of decimals

6.RP.2

Understand that mathematical statements can be justified, using  models, facts and relationships to explain their thinking

Understand that mathematical statements can be supported, using  models, facts, and relationships to explain their thinking

6.RP.8

Justify an argument through examples/counterexamples and special cases

Support an argument through examples/counterexamples and special cases

6.R.1

Use physical objects, drawings, charts, tables, graphs, symbols, equations, and technology as representations

Use physical objects, drawings, charts, tables, graphs, symbols, equations, and objects created using technology as representations

6.R.5

Use models to explore problem situations

Use representations to explore problem situations

6.N.18

Multiply and divide mixed numbers with unlike denominators

Add, subtract, multiply, and divide mixed numbers with unlike denominators

 

6.A.3

Translate two-step verbal equations into algebraic equations

Translate two-step verbal sentences into algebraic equations

7.RP.2

7.RP.2            Understand that mathematical statements can be justified using  inductive reasoning

Delete

7.RP.2 (New)

 

Use mathematical strategies to reach a conclusion  (under second major understanding) 

 

7.RP.3

Investigate conjectures in mathematical terms, using mathematical strategies to reach a conclusion

 

Delete

7.RP.3 (New)

 

Evaluate conjectures by distinguishing relevant from

irrelevant information to reach a conclusion or make  

appropriate estimates

7.RP.4

Evaluate conjectures by distinguishing relevant from irrelevant information to reach a conclusion or make appropriate estimates

Delete

7.RP.4 (New)

 

Provide supportive arguments for conjectures (under third major understanding)

 

7.RP.5

Provide supportive arguments for conjectures

 

Delete

7.RP.5 (New)

 

Develop, verify, and explain an argument, using

appropriate mathematical ideas and language

 

7.RP.6

Justify general claims using inductive reasoning

 

Delete

7.RP.6 (New)

 

Support an argument by using a systematic approach to test more than one case

 

7.RP.7

Develop, explain, and verify an argument using mathematical ideas and language

 

Delete

7.RP.7 (New)

 

Devise ways to verify results or use counterexamples to refute incorrect statements

7.RP.8

Justify an argument by using a systematic approach

 

Delete

7.RP.8 (New)

 

Apply inductive reasoning in making and supporting

mathematical conjectures

 

7.RP.9

Devise ways to verify results, using counterexamples and indirect  proof.

 

Delete

7.CM.11

Draw conclusions about mathematical ideas through decoding, comprehension and interpretation of mathematical visuals, symbols, and technical writing

Draw conclusions about mathematical ideas through decoding, comprehension, and interpretation of mathematical visuals, symbols, and technical writing

7.CN.4

Model situations with objects, representations and equations, draw conclusions, and formulate new situations

 

Model situations mathematically, using representations to draw conclusions and formulate new situations

7.CN.5

Understand how models in one area of mathematics can be used to solve problems in other areas of mathematics

Understand how concepts, procedures, and mathematical results in one area of mathematics can be used to solve problems in other areas of mathematics

7.R.1

Use physical objects, drawings, charts, tables, graphs, symbols, equations, and technology as representations

Use physical objects, drawings, charts, tables, graphs, symbols, equations, and objects created using technology as representations

7.R.6

Use models to explore problem situations

Use representations to explore problem situations

7.A.2 and 7.A.3

 

Move the two performance indicators under the next major understanding, above 7.A.4 and add the band, “Variables and Expressions”

7.A.5

Solve one-step inequalities (positive coefficients only) and graph the solution set on a number line

 

Solve one-step inequalities (positive coefficients only) (See 7.G.10)

 

Add major understanding following 7.G.9

 

Students will apply coordinate geometry to analyze problem solving situations.  (bold, italics)

 

Add “Coordinate Geometry” band under the major understanding

 

Coordinate Geometry

7.G.10 (New)

 

Graph the solution set of an inequality (positive coefficients only) on a number line  (See 7.A.5)

Move “Analysis of Data” band down so that it is across from 7.S.4

 

Analysis of Data

7.S.10

Predict the outcome of experiments

 

Predict the outcome of an experiment

 

8.RP.2

7.RP.2            Understand that mathematical statements can be justified using  inductive reasoning

Delete

8.RP.2 (New)

 

Use mathematical strategies to reach a conclusion  (under second major understanding) 

 

8.RP.3

Investigate conjectures in mathematical terms, using mathematical strategies to reach a conclusion

 

Delete

8.RP.3 (New)

 

Evaluate conjectures by distinguishing relevant from

irrelevant information to reach a conclusion or make  

appropriate estimates

8.RP.4

Evaluate conjectures by distinguishing relevant from irrelevant information to reach a conclusion or make appropriate estimates

Delete

8.RP.4 (New)

 

Provide supportive arguments for conjectures (under third major understanding)

 

8.RP.5

Provide supportive arguments for conjectures

 

Delete

8.RP.5 (New)

 

Develop, verify, and explain an argument, using

appropriate mathematical ideas and language

 

8.RP.6

Justify general claims using inductive reasoning

 

Delete

8.RP.6 (New)

 

Support an argument by using a systematic approach to test more than one case

 

8.RP.7

Develop, explain, and verify an argument using mathematical ideas and language

 

Delete

8.RP.7 (New)

 

Devise ways to verify results or use counterexamples to refute incorrect statements

8.RP.8

Justify an argument by using a systematic approach

 

Delete

8.RP.8 (New)

 

Apply inductive reasoning in making and supporting

mathematical conjectures

 

8.RP.9

Devise ways to verify results, using counterexamples and indirect  proof.

 

Delete

8.CM.11

Draw conclusions about mathematical ideas through decoding, comprehension and interpretation of mathematical visuals, symbols, and technical writing

Draw conclusions about mathematical ideas through decoding, comprehension, and interpretation of mathematical visuals, symbols, and technical writing

8.CN.4

Model situations with objects, representations and equations, draw conclusions, and formulate new situations

 

Model situations mathematically, using representations to draw conclusions and formulate new situations

8.CN.5

Understand how models in one area of mathematics can be used to solve problems in other areas of mathematics

 

Understand how concepts, procedures, and mathematical results in one area of mathematics can be used to solve problems in other areas of mathematics

8.R.1

Use physical objects, drawings, charts, tables, graphs, symbols, equations, and technology as representations

Use physical objects, drawings, charts, tables, graphs, symbols, equations, and objects created using technology as representations

8.R.6

Use models to explore problem situations

Use representations to explore problem situations

8.R.9, 8.R.10, and 8.R.11

Use math to show and understand …

Use mathematics to show and understand

8.A.15

Understand that a data set can be represented in multiple ways: arithmetically, algebraically, and graphically

 

Understand that numerical information can be represented in multiple ways: arithmetically, algebraically, and graphically

 

8.A.20-8.A.23

 

Move under 8.G.17 and number them  8.G.18, 8.G.19, 8.G.20, and 8.G.21 respectively

Add major understanding above first major understanding in Grade 8 Geometry strand

 

Students will use visualization and spatial reasoning to analyze characteristics and properties

of geometric shapes.  (bold, italics)

 

Add “Constructions” band under the major understanding

 

Constructions

Move 8.G.18 across from the “Constructions” band and renumber p.i. to 8.G.0

 

 

8.M.1

Solve equations/proportions to convert to equivalent measurements          within metric and customary measurement systems also allow

Fahrenheit to Celsius and vice versa)

Solve equations/proportions to convert to equivalent measurements within metric and customary measurement systems  Note: Also allow Fahrenheit to Celsius and vice versa.