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Common Core: Math
Topic: Common Core Learning Standards
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 Student Outcomes Students prove that any point on the graph of y = mx + b is on a line l and that any point on a line l is a point on the graph of y = mx + b. Students graph linear equations on the...

 Student Outcomes Students apply knowledge of geometry to writing and solving linear equations.

 Student Outcomes Students transform equations into simpler forms using the distributive property. Students learn that not every linear equation has a solution.

 Student Outcomes Students know the conditions for which a linear equation will have a unique solution, no solution, or infinitely many solutions.

 Student Outcomes Students rewrite and solve equations that are not obviously linear equations using properties of equality.

 Student Outcomes Students know how to rewrite an exponential expression that represents a series as a linear equation.

 Student Outcomes Students work with proportional relationships in terms of average speed and constant speed in order to write a linear equation in two variables. Students use linear equations in two...

 Student Outcomes Students know the definition of constant rate in varied contexts as expressed using two variables where one is t representing a time interval. Students graph points on a coordinate...

 Student Outcomes Students use a table to find solutions to a given linear equation and plot the solutions on a coordinate plane.

 Student Outcomes Students predict the shape of a graph of a linear equation by finding and plotting solutions on a coordinate plane. Students informally explain why the graph of a linear equation is...

 Student Outcomes Students graph linear equations in standard form, ax + by = c (a or b = 0), that produce a horizontal or a vertical line.

 Student Outcomes Students illuminate the converse of the Pythagorean Theorem through computation of examples and counterexamples. Students apply the theorem and its converse to solve problems.

 Student Outcomes Students write mathematical statements using symbols to represent numbers. Students know that written statements can be written as more than one correct mathematical sentence.

 Student Outcomes Students know the properties of linear and nonlinear expressions in x. Students transcribe and identify expressions as linear or nonlinear.

 Student Outcomes Students know that a linear equation is a statement of equality between two expressions. Students know that a linear equation in x is actually a question: Can you find all numbers...

 Student Outcomes Students extend the use of the properties of equality to solve linear equations having rational coefficients.

 Student Outcomes Students experimentally verify the properties related to the Fundamental Theorem of Similarity (FTS).

 Student Outcomes Students verify the converse of the Fundamental Theorem of Similarity experimentally. Students apply the Fundamental Theorem of Similarity to find the location of dilated points on...

 Student Outcomes Students describe the effect of dilations on twodimensional figures using coordinates.

 Student Outcomes Students know an informal proof of why dilations are degreepreserving transformations. Students know an informal proof of why dilations map segments to segments, lines to lines, and...

 Student Outcomes Students know the definition of similar and why dilation alone is not enough to determine similarity. Given two similar figures, students describe the sequence of a dilation and a...

 Student Outcomes Students know that similarity is both a symmetric and a transitive relation.

 Student Outcomes Students know an informal proof of the AngleAngle (AA) criterion for similar triangles. Students present informal arguments as to whether or not triangles are similar based on Angle...

 Student Outcomes Students present informal arguments as to whether or not two triangles are similar. Students practice finding lengths of corresponding sides of similar triangles.