Click Below for "Things to Remeber" for each Unit
Click Below for "Things to Remeber" for each Unit
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Unit Concepts:
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
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Concepts for the Unit:
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· 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. |
Word Wall Defined:
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Adjacent angles- angles in the same plane that have a common vertex and a common side, but no common interior points. Opposite Reciprocals- reciprocals are 2 numbers that have a product of 1; opposites are positive and negative |
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Concepts for the Unit:
· Interpret slope as rate of change.
· Determine the meaning of slope and y-intercept in a given situation.
· Graph equations in the form of y = mx + b and Ax+By=C.
· Graph the solution set of a linear inequality, identifying whether the solution set is an open or closed half plane.
· Determine the equation of a line given a graph, numerical information that defines the line or a context involving a linear relationship.
· Solve problems involving linear relationships by gathering the data, graphing the data as a scatter plot, determining line of best fit, writing its equation, and interpreting the solution of the equation in the context of the original problem.
Word Wall Defined:
Constant Function: horizontal line (y=#)
Line of best fit: the line that best represents the trend established by the points in a particular scatter plot.
Linear Inequality: an inequality in two variables for which the graph of the solutions form a half-plane on one side of a line and may or may not include the line itself.
Rate of change (slope): a ratio that compares the amount of change in a dependent variable to the amount of change in an independent variable.
Slope: the steepness of a line represented by the variable m, which may be calculated by finding the ratio of the difference between the y values of two points in the line to the difference between the corresponding x values of those two points.
Slope-intercept form: one way to write an equation of a line; uses the form y= mx+b, where m is the slope and b is the y-intercept.
Standard Form: a linear equation in the form Ax + By = C, where A, B, and C are constants.
Y-intercept: the y coordinate of a point where a graph crosses the y-axis. The y-intercept is represented by the variable b.
Undefined Slope: vertical line (x=#)
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Main Topics for Unit 4:
Download Unit 4 Vocabulary Defined
1. Set Theory
Check Out This Helpful Resource on Set Theory
2. Functions and Relations -
Review Sessions - Wednesday, December 15th
Unit 4 Test - Thursday December, 16th.
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This is the first unit of the Algebra Strand. The following concepts will be included within this unit:
Download Unit 3 Word Wall
Part 2
1. Solving inequalities with one variable
2. Graphing the solutions to one variable inequalities
3. Solving inequalities with absolute value
4. Graphing the solutions to inequalities with absolute value.
How to Solve Inequalities
How to Solve Inequalities with Absolute Value
Important Dates (Part 2):
Important Dates (part 1):
– 4 – 4 Subtract 4 from both sides.
11x = 33 Divide both sides by 11.
x = 3
Order of Operations
PEMDAS
Parenthesis
Exponents
(Multiplication/Division)
(Add/Subtract)
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This unit focuses on the following main topics:
Download Unit 2 Word Wall Defined
Important Dates (Subject to Change):
Unit 2 Summative Assessment (Test #1) - Friday September 17th
Unit 2 Summative Assessment (Test #2) - Friday October 1st
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Unit 1 focuses on the laws of probability. Below you will find resources for this unit.
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Hello Students and Parents-
Welcome to this new school year. Below you will find the syllabus for the year. It includes a unit outline, grading scale, and contact information.
Download Math 8 Syllabus _Powell_Ayabe
I am looking forward to a great year with you, of hard work and success.
Ms. Powell
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