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Math - Algebra 1

Foundations
Unit OutcomePerform operations with rational numbers
AL1.1.1I can evaluate expressions using the order of operations
AL1.1.2I can identify appropriate inverse operations to solve basic equations
AL1.1.3I can simplify proper and improper fractions
AL1.1.4I can add, subtract, multiply and divide rational numbers
AL1.1.5I can write equivalent expressions using the distributive property
AL1.1.6I can simplify expressions by combining like terms
Solve Linear Equations
Unit OutcomeSolve Linear Equations
AL2.1.1I can explain each step in solving a simple equation
AL2.1.2I can solve equations in one variable
AL2.1.3I can rearrange formulas to solve for an indicated variable
AL2.1.4I can write and solve equations involving angle pair relationships
AL2.1.5I can solve absolute value equations
AL2.1.6I can engage in problem solving, reasoning, and communication
Graph Linear Equations
Unit OutcomeGraph and interpret linear equations
AL3.1.1I can recognize graphs, tables, equations as functions
AL3.1.2I can identify the location of a point on the coordinate plane.
AL31.3I can determine if an ordered pair is a solution to a linear function.
AL3.1.4I can solve for and create a table of values to represent and graph a function
AL3.1.5I can graph a function from a given domain and relate the domain of a function to its graph.
AL3.1.6I can graph linear functions by finding the x- and y-intercepts and determine/interpret the meaning of intercepts in context.
AL3.1.7I can calculate and interpret the average rate of change(slope) for a function.
AL3.1.8I can use function notation to evaluate and graph functions.
AL3.1.9I can interpret and compare relationships to parent functions using mathematical vocabulary.
AL3.1.10I can engage in problem solving, reasoning, and communication
Write and Compare Linear Equations
Unit OutcomeWrite and Compare linear equations
AL4.1.1I can write an equation in slope-intercept form given: slope and intercept, graph, and two points.
AL4.1.2I can write an equation in point-slope form given: point and slope, graph, and two points.
AL41.3I can graph an equation written in point-slope form.
AL4.1.4I can determine the x and y intercepts from a standard form equation
AL4.1.5I can justify if two lines are parallel.
AL4.1.6I can write equations of parallel and perpendicular lines.
AL4.1.7I can determine if lines are parallel or perpendicular.
AL4.1.8I can identify the correlation from a graph.
AL4.1.9I can create a scatter plot and write the equation for a line of best fit in order make predictions.
AL4.1.10I can engage in problem solving, reasoning, and communication
Graph and Interpret Linear Equations
Unit OutcomeI can solve inequalities using basic operations
AL5.1.1I can graph solutions of inequalities on a numberline.
AL5.1.2I can solve multi-step inequalities
AL51.3I can solve compound inequalities
AL5.1.4I can write and graph compound inequalities
AL5.1.5I can solve and rewrite absolute value inequalities
AL5.1.6I can engage in problem solving, reasoning, and communication
AL5.1.7I can solve inequalities using basic operations

Math - Algebra 2

Foundations
Unit OutcomePerform operations with rational numbers
AL1.1.1I can identify appropriate inverse operations to solve basic equations
AL1.1.2I can simplify proper and improper fractions
AL1.1.3I can add, subtract, multiply and divide rational numbers
AL1.1.4I can write equivalent expressions using the distributive property
AL1.1.5I can simplify expressions by combining like terms
AL1.1.6I can engage in problem solving, reasoning, and communication
Inequalities
Unit OutcomeSkill: Solve systems of equations and inequalities
AL2.1.1I can solve a system of linear equations by graphing, using substitution, and/or elimination
AL2.1.2I can recognize solutions to special systems that have infinitely many or no solutions (graphically and algebraically)
AL2.1.3I can graph and identify solutions of linear inequalities on the coordinate plane based on shading
AL2.1.4I can graph and identify solutions of a system of linear inequalities on the coordinate plane based on shading
Monomials and Polynomials
Unit OutcomePerform operations with monomials and polynomials
AL3.1.1I can apply the properties of integer exponents involving products to generate equivalent expressions
AL3.1.2I can apply the properties of integer exponents involving quotients to generate equivalent expressions
AL31.3I can use zero and negative exponents to generate equivalent expressions
AL3.1.4I can interpret scientific notation that has been generated by technology
AL3.1.5I can perform operations with numbers expressed in scientific notation
AL3.1.6I can perform operations with polynomials
AL3.1.7I can engage in problem solving, reasoning, and communication
Quadratic Equations
Unit OutcomeSolve quadratic equations
AL4.1.1I can factor polynomial expressions(using special products, GCF)
AL4.1.2I can solve polynomial equations in factored form
AL41.3I can factor and solve trinomials in standard form
AL4.1.4I can factor by grouping
AL4.1.5I can use factoring to solve real world problems*
AL4.1.6I can graph quadratic functions using a table
AL4.1.7I can identify vertex and axis of symmetry of a graph using x = -b/2a
AL4.1.8I can identify maximum and minimum values of a function
AL4.1.9I can solve quadratic equations by finding zeros (intercepts of a graph)
AL4.1.10I can use square root method to solve quadratic equations
AL4.1.11I can use quadratic formula to solve quadratic equations
AL4.1.12Engage in problem solving, reasoning, and communication
Graph and Interpret Radical Equations
Unit OutcomeI can simplify and solve radical equations
AL5.1.1I can graph a square root function by creating a table
AL5.1.2I can simplify radical expressions
AL51.3I can solve radical equations
AL5.1.4I can determine if all solutions to radical equations are valid
AL5.1.5I can use the Pythagorean theorem to find missing sides of a right triangle or determine if given side lengths form a right triangle
AL5.1.4I can use the distance and midpoint formulas
AL5.1.5I can engage in problem solving, reasoning, and communication
Probability
Unit OutcomeProbability
AL6.1.1I can find sample spaces and probabilities using theoretical and experimental probability
AL6.1.2I can use permutations and counting principal to arrange objects
AL6.1.3I can find the probability of a compound event
AL6.1.4I can identify population and sampling methods
AL6.1.5I can compare measures of central tendencies
AL6.1.6I can make a stem leaf, dot plot and histogram
AL6.1.7I can make and interpret box and whisker plots
AL6.1.8I can engage in problem solving, reasoning, and communication

Math - Geometry

Foundations
Unit OutcomePerform operations with rational numbers
G1.1.1I can perform operations with rational numbers
G1.1.2I can solve, write and graph linear equations
Equality and Congruence of Geometric Figures
Unit OutcomeSkill: Describe measure and understand equality and congruence of geometric figures.
G2.1.1I can name and sketch various geometric figures
G2.1.2I can calculate segment lengths by utilizing the Segment Addition Postulate
G2.1.3I can find lengths of segment in the coordinate plane
G2.1.4I can find the midpoint of a segment given its endpoints
G2.1.5I can name measure, and classify angles
G2.1.6I can calculate angle measure by utilizing the Angle Addition Postulate
G2.1.7I can use special angle relationships to find angle measures
Parallel and Perpendicular Lines
Unit OutcomeUse properties of parallel and perpendicular lines
GL3.1.1I can identify angle pairs formed by three intersecting lines
G3.1.2I can use angles formed from parallel lines and transversals
G3.1.3I can use angle relationships to prove lines are parallel
G3.1.4I can use slope to determine if lines are parallel, perpendicular, or neither
G3.1.5I can write equations of parallel and perpendicular lines
Triangles
Unit OutcomeProve triangles are congruent
GL4.1.1I can classify triangles (by sides and angles) and find measures of their angles
G4.1.2I can identify congruent figures
G4.1.3I can write a congruence statement for congruent figures
G4.1.4I can use side lengths and/or angle measures to prove triangles are congruent
G4.1.5I can use congruent triangles to prove corresponding parts are congruent
G4.1.6I can use theorems about isosceles and equilateral triangles
G4.1.7I can perform rigid transformations (translations, reflections, rotations
Ratios and Proportions
Unit OutcomeApply ratios and proportions to similar figures
GL5.1.1I can solve problems by writing and solving proportions
G5.1.2I can use proportions to identify similar polygons
G5.1.3I can use Similarity Postulates to prove figures similar
G5.1.4I can use proportions with a triangle or parallel lines
G5.1.5I can perform dilations in the coordinate plane
Right Triangles
Unit OutcomeSolve Right Triangles
GL6.1.1I can gind any side length in a right triangle using the Pythagorean Theorem
G6.1.2I can give triangle side lengths in simplified radical form and rounded decimal form
G6.1.3I can use the Pythagorean Theorem to determine if a triangle is right, obtuse, or acute
G6.1.4I can use special right triangle relationships to determine triangle side lengths in a 45-45-90 and 30-60-90 triangle
G6.1.5I can use sine, cosine, and tangent ratios to solve right triangles
G6.1.6I can use inverse sine, cosine, and tangent ratios to solve a right
Polygons
Unit OutcomeSkill: Use characteristics of polygons to calculate area and polygons, surface area and volume polyhedra
G7.1.1I can find angle measures in a polygon
G7.1.2I can apply algebraic skills to determine the measures of interior or exterior angles of a polygon
G7.1.3I can use the characteristics of diagonals in a quadrilaterals
G7.1.4I can use properties to classify quadrilaterals
G7.1.5I can identify special quadrilaterals
G7.1.6I can find areas of quadrilaterals
G7.1.7Find areas of regular polygons
G7.1.8I can identify solids
G7.1.9I can find the surface areas of prisms and cylinders
G7.1.10I can find the surface areas of pyramids and cones
G7.1.11I can find the volumes of prisms and cylinders
G7.1.12I can find the volumes of pyramids and cones
G7.1.13I can find angle measures in a polygon
Circles
Unit OutcomeApply properties of circles
GL8.1.1Use properties of a tangent to a circle
G8.1.2Use angle measures to find arc measures
G8.1.3Use inscribed angles of circles
G8.1.4Find arc lengths and other measures
G8.1.5Find the areas of circles and sectors
G8.1.6Write equations of circles in the coordinate plane