Common Core Learning Standards



|Common Core Learning Standards |Concepts |Embedded Skills |Vocabulary |

|Analyze and solve linear equations and pairs of simultaneous |Solving linear equations |Solve a linear equation with one solution. |Equation |

|linear equations. | | |Variable |

| | | |Infinite solution |

| | | |Linear |

| | | |No solution |

| | | |Inverse operation |

| | | |Distributive property |

| | | |Combine like terms |

| | |Solve a linear equation with infinitely many solutions. | |

|8.EE.7a. | |Solve a linear equation with no solution. | |

|Give examples of linear equations in one variable with one | | | |

|solution, infinitely many solutions, or no solutions. Show which | | | |

|of these possibilities is the case by successively transforming | | | |

|the given equation into simpler forms, until an equivalent | | | |

|equation of the form x = a, a = a, or a = b results (where a and b| | | |

|are different numbers). | | | |

| | |Check the solution to an equation. | |

| | |Explain the differences between one solution, no solution, and | |

| | |infinitely many. | |

|Rigorous Sample Tasks |Scaffolded Sample Tasks |

| | |

|Solve for the variable in the equation. |Solve for the variable in the equation. |

| | |

|-1/2x + 4 = -3 |5b - 13= -37 |

| | |

| | |

|Solve for the variable in the equation. |Solve for the variable in the equation. |

| | |

|-1/2x + 3.5 = -3/5x + 1 |2x + 3 = 7x + 13 |

| | |

|Does this equation have no solution, one solution or infinitely many solutions? Explain your |Does this equation have no solution, one solution or infinitely many solutions? Explain your |

|response. |response. |

| | |

|12(0.5x – 5) = -6(-x + 10) |5x + 4 –x = 2 + 4x + 2 |

| | |

| | |

|Does this equation have no solution, one solution or infinitely many solutions? Explain your |Does this equation have no solution, one solution or infinitely many solutions? Explain your |

|response. |response. |

| | |

|5(4x – 2) = -10(-2x + 1) |4 + 12x = 6 + 3x – 2 + 9x |

| | |

| | |

| | |

|Does this equation have no solution, one solution or infinitely many solutions? Explain your |Which equation has no solution? |

|response. | |

| |3x – 4 = 4x – 3 |

|5/3y – 5/3(y + 3) = -9 |x + 5 + 2x = 2x + 5 |

| |2(x + 2) –x = x + 2 |

| |6x + 1 – 6 = -5x + 6 |

| | |

| | |

|Does this equation have no solution, one solution or infinitely many solutions? Explain your |Does this equation have no solution, one solution or infinitely many solutions? Explain your |

|response. |response. |

| | |

|1/2(x + 4) –x = x + 2 |2b + 3 –2b = 5 + (-2) |

| | |

|Kathryn solved the equation below. |Jason solved the equation below. |

| | |

|6x + 2(x + 3) = 3x + 5x + 6 |3x – 7 = 8 |

| | |

|She got x = 3 for a solution. |He got x = 1/3 for a solution. |

| | |

|Is Kathryn’s solution correct? Show why or why not. |Is Jason’s solution correct? Show why or why not. |

| | |

| | |

|Are there other solutions to this equation? Explain how you know. | |

| | |

| | |

| | |

| | |

| | |

|Write 3 equations that have a variable on both sides of the equal sign. Write the equations so| |

|that one equation will have no solution, one equation will have one solution, and one equation | |

|will have infinitely many solutions. Solve each equation to show each example. | |

| | |

| | |

|Patrick solved the equation 3(x + 1) = 3x + 3. He thinks there is no solution to the equation | |

|since there are no variables in the equation after they are combined. Is Patrick correct? | |

|Explain how you know. | |

| | |

| | |

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download