Ms. Powell's Math

CRCT REVIEW

Click Below for "Things to Remeber" for each Unit

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Unit 7 - Systems

Unit Concepts:

• Given a problem in context, write an appropriate system of linear equations or inequalities.
• Solve systems of equations graphically and algebraically, using technology as appropriate.
• Graph the solution set of a system of linear inequalities in two variables.
• Interpret solutions in problem contexts.

Word Wall Defined:

Coefficients: a numerical factor in a term of an algebraic expression.

 

Intersecting Lines: lines that have one point in common or all points in common.

 

Linear Combination Method: a technique for solving a system of equations that involves combining two equations in order to eliminate one of the variables and solving for the remaining variable. Adding, subtracting, or multiplying a system of equations to help solve the system.

 

Substitution Method: a technique for solving a system of equations that involves replacing one variable with an equivalent expression and solving for the remaining variable.

 

System of Linear Equations: two or more equations that together define a relationship between variables usually in a problem situation. A system of equations can have no solution, one solution, or many solutions.

 

System of Inequalities: two or more inequalities that together define a relationship between variables usually in a problem situation. A system of inequalities can have no solution or multiple solutions

 

 

 

Unit 6 - Traversing Congruency

Concepts for the Unit:

·    Parallel lines have the same slope and perpendicular lines have opposite, reciprocal slopes. ·    When two lines intersect, vertical angles are congruent and adjacent angles are supplementary. ·    When parallel lines are cut by a transversal, corresponding, alternate interior and alternate exterior angles and congruent. ·    The length of segments formed by two non-parallel transversals cutting parallel line is proportional to the distances of the parallel lines from the intersection of the transversal. ·    Parallel lines can be constructed using the properties of parallel lines cut by a transversal.

Download Unit 6 Word Wall

Word Wall Defined:

Adjacent angles- angles in the same plane that have a common vertex and a common side, but no common interior points. Alternate exterior angles- pairs of angles formed when a third line (transversal) crosses 2 lines.  These angles are on opposite sides of the transversal and are outside the 2 lines.  Alternate interior angles- pairs of angles formed when a third line (transversal) crosses 2 lines.  These angles are on opposite sides of the transversal and are inside the 2 lines.  Coincidental- two equivalent linear equations overlap when graphed. Complimentary angles- Two angles whose sum is 90 degrees. Congruent- having the same size, shape and measure.  Two figures are congruent if all of their corresponding measures are equal. Equiangular- The property of a polygon whose angles are all congruent. Equilateral- the property of a polygon whose sides are all congruent. Intersecting lines- Two lines in a plane that cross each other.  Unless two lines are coincidental, parallel or skew, they will intersect at one point. Linear pair- adjacent, supplementary angles.  Excluding their common side, a linear pair forms a straight line. Opposite Reciprocals- reciprocals are 2 numbers that have a product of 1; opposites are positive and negative Parallel lines- two lines that lie in the same plane and do not intersect. Perpendicular lines- two lines that intersect at a right angle. Reflection line- a line that is the perpendicular bisector of the segment with endpoints at a pre-image point and the image of that point after reflection. Regular polygon- a polygon that is both equilateral and equiangular. Same-side exterior angles (Consecutive interior)- pairs of angles formed when a transversal crosses 2 lines.  These angles are on the same side of the transversal and outside the 2 lines.  The angles are supplementary. Same-side interior angles- pairs of angles formed when a transversal crosses 2 lines.  These angles are on the same side of the transversal and inside the 2 lines.  The angles are supplementary. Skew lines- two lines that do not lie in the same plane (cannot be parallel or intersect). Supplementary angles- two angles whose sum is 180 degrees. Transversal- a line that crosses two or more lines. Vertical angles- two nonadjacent angles formed by interesting lines or segments.