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9. Analyze And Solve Linear Equations And Pairs Of Simultaneous Linear Equations.  (8.EE.C.8*)

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9. Analyze And Solve Linear Equations And Pairs Of Simultaneous Linear Equations.  (8.EE.C.8*)

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Identify the Solution of a System of Linear Equations.

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Find unit rates

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13. Approximate the value of irrational numbers on a number line (8.NS.A.2)

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13. Approximate the value of irrational numbers on a number line (8.NS.A.2)

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Approximate the value of irrational numbers on a number line

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8. "Solve linear equations in one variable.a. Give . (8.EE.C.7)"

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8. "Solve linear equations in one variable.a. Give . (8.EE.C.7)"

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Solve linear equations in one variable

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19. Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally. (8.F.B.5*)

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19. Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally. (8.F.B.5*)

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Model relationships between quantities.

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18. Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.  (8.F.A.3)

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18. Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.  (8.F.A.3)

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Understand the features of linear functions.

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17. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).  (8.F.A.2*)

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17. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).  (8.F.A.2*)

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Determine the rate of change of a function.

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16. Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output (8.F.A.1)

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16. Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output (8.F.A.1)

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Define what is and what is not a function.

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12. Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.   (8.G.A.3)

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12. Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.   (8.G.A.3)

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Use coordinates to describe transformations

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11. Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them (8.G.A.2)

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11. Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them (8.G.A.2)

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Similarity with sequence of rotations, reflections and translations

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5. Recognize and represent proportional relationships between quantities. (7.RP.A.2)

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5. Recognize and represent proportional relationships between quantities. (7.RP.A.2)

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Determine if a realtionship is proportional and determine the constant of proportionality.

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10. Verify experimentally the properties of rotations, reflections, and translations (8.G.A.1)

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10. Verify experimentally the properties of rotations, reflections, and translations (8.G.A.1)

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Verify properties of congruence transformations.

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7. Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers. (6.EE.B.7)

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7. Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers. (6.EE.B.7)

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Solve real-world and mathematical problems by writing and solving equations

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3. Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. (6.RP.A.1)

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3. Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. (6.RP.A.1)

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Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

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15. Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. (8.EE.A.3)

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15. Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. (8.EE.A.3)

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Multiplication involving integer power of 10 and estimating size comparisons

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1. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. (7.NS.A.2)

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1. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. (7.NS.A.2)

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Multiply and divide rational numbers

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6. Write, read, and evaluate expressions in which letters stand for numbers. (6.EE.A.2)

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6. Write, read, and evaluate expressions in which letters stand for numbers. (6.EE.A.2)

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Write, read, and evaluate expressions

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14. Know and apply the properties of integer exponents to generate equivalent numerical expressions.  (8.EE.A.1)

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14. Know and apply the properties of integer exponents to generate equivalent numerical expressions.  (8.EE.A.1)

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Know and apply the properties of integer exponents

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2. Solve real-world and mathematical problems involving the four operations with rational numbers. (7.NS.A.3)

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2. Solve real-world and mathematical problems involving the four operations with rational numbers. (7.NS.A.3)

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Rational number problem solving in all four operations