Math Skills

Math - Algebra 1

Foundations

Unit Outcome

Perform operations with rational numbers

AL1.1.1

I can evaluate expressions using the order of operations

AL1.1.2

I can identify appropriate inverse operations to solve basic equations

AL1.1.3

I can simplify proper and improper fractions

AL1.1.4

I can add, subtract, multiply and divide rational numbers

AL1.1.5

I can write equivalent expressions using the distributive property

AL1.1.6

I can simplify expressions by combining like terms

 

Solve Linear Equations

Unit Outcome

Solve Linear Equations

AL2.1.1

I can explain each step in solving a simple equation

AL2.1.2

I can solve equations in one variable

AL2.1.3

I can rearrange formulas to solve for an indicated variable

AL2.1.4

I can write and solve equations involving angle pair relationships

AL2.1.5

I can solve absolute value equations

AL2.1.6

I can engage in problem solving, reasoning, and communication

 

Graph Linear Equations

Unit Outcome

Graph and interpret linear equations

AL3.1.1

I can recognize graphs, tables, equations as functions

AL3.1.2

I can identify the location of a point on the coordinate plane.

AL31.3

I can determine if an ordered pair is a solution to a linear function.

AL3.1.4

I can solve for and create a table of values to represent and graph a function

AL3.1.5

I can graph a function from a given domain and relate the domain of a function to its graph.

AL3.1.6

I can graph linear functions by finding the x- and y-intercepts and determine/interpret the meaning of intercepts in context.

AL3.1.7

I can calculate and interpret the average rate of change(slope) for a function.

AL3.1.8

I can use function notation to evaluate and graph functions.

AL3.1.9

I can interpret and compare relationships to parent functions using mathematical vocabulary.

AL3.1.10

I can engage in problem solving, reasoning, and communication

 

Write and Compare Linear Equations

Unit Outcome

Write and Compare linear equations

AL4.1.1

I can write an equation in slope-intercept form given: slope and intercept, graph, and two points.

AL4.1.2

I can write an equation in point-slope form given: point and slope, graph, and two points.

AL41.3

I can graph an equation written in point-slope form.

AL4.1.4

I can determine the x and y intercepts from a standard form equation

AL4.1.5

I can justify if two lines are parallel.

AL4.1.6

I can write equations of parallel and perpendicular lines.

AL4.1.7

I can determine if lines are parallel or perpendicular.

AL4.1.8

I can identify the correlation from a graph.

AL4.1.9

I can create a scatter plot and write the equation for a line of best fit in order make predictions.

AL4.1.10

I can engage in problem solving, reasoning, and communication

 

Graph and Interpret Linear Equations

Unit Outcome

I can solve inequalities using basic operations

AL5.1.1

I can graph solutions of inequalities on a numberline.

AL5.1.2

I can solve multi-step inequalities

AL51.3

I can solve compound inequalities

AL5.1.4

I can write and graph compound inequalities

AL5.1.5

I can solve and rewrite absolute value inequalities

AL5.1.6

I can engage in problem solving, reasoning, and communication

AL5.1.7

I can solve inequalities using basic operations

 

Math - Algebra 2

Foundations

Unit Outcome

Perform operations with rational numbers

AL1.1.1

I can identify appropriate inverse operations to solve basic equations

AL1.1.2

I can simplify proper and improper fractions

AL1.1.3

I can add, subtract, multiply and divide rational numbers

AL1.1.4

I can write equivalent expressions using the distributive property

AL1.1.5

I can simplify expressions by combining like terms

AL1.1.6

I can engage in problem solving, reasoning, and communication

 

Inequalities

Unit Outcome

Skill: Solve systems of equations and inequalities

AL2.1.1

I can solve a system of linear equations by graphing, using substitution, and/or elimination

AL2.1.2

I can recognize solutions to special systems that have infinitely many or no solutions (graphically and algebraically)

AL2.1.3

I can graph and identify solutions of linear inequalities on the coordinate plane based on shading

AL2.1.4

I can graph and identify solutions of a system of linear inequalities on the coordinate plane based on shading

 

Monomials and Polynomials

Unit Outcome

Perform operations with monomials and polynomials

AL3.1.1

I can apply the properties of integer exponents involving products to generate equivalent expressions

AL3.1.2

I can apply the properties of integer exponents involving quotients to generate equivalent expressions

AL31.3

I can use zero and negative exponents to generate equivalent expressions

AL3.1.4

I can interpret scientific notation that has been generated by technology

AL3.1.5

I can perform operations with numbers expressed in scientific notation

AL3.1.6

I can perform operations with polynomials

AL3.1.7

I can engage in problem solving, reasoning, and communication

 

Quadratic Equations

Unit Outcome

Solve quadratic equations

AL4.1.1

I can factor polynomial expressions(using special products, GCF)

AL4.1.2

I can solve polynomial equations in factored form

AL41.3

I can factor and solve trinomials in standard form

AL4.1.4

I can factor by grouping

AL4.1.5

I can use factoring to solve real world problems*

AL4.1.6

I can graph quadratic functions using a table

AL4.1.7

I can identify vertex and axis of symmetry of a graph using x = -b/2a

AL4.1.8

I can identify maximum and minimum values of a function

AL4.1.9

I can solve quadratic equations by finding zeros (intercepts of a graph)

AL4.1.10

I can use square root method to solve quadratic equations

AL4.1.11

I can use quadratic formula to solve quadratic equations

AL4.1.12

Engage in problem solving, reasoning, and communication

 

 

Graph and Interpret Radical Equations

Unit Outcome

I can simplify and solve radical equations

AL5.1.1

I can graph a square root function by creating a table

AL5.1.2

I can simplify radical expressions

AL51.3

I can solve radical equations

AL5.1.4

I can determine if all solutions to radical equations are valid

AL5.1.5

I can use the Pythagorean theorem to find missing sides of a right triangle or determine if given side lengths form a right triangle

AL5.1.4

I can use the distance and midpoint formulas

AL5.1.5

I can engage in problem solving, reasoning, and communication

 

Probability

Unit Outcome

Probability

AL6.1.1

I can find sample spaces and probabilities using theoretical and experimental probability

AL6.1.2

I can use permutations and counting principal to arrange objects

AL6.1.3

I can find the probability of a compound event

AL6.1.4

I can identify population and sampling methods

AL6.1.5

I can compare measures of central tendencies

AL6.1.6

I can make a stem leaf, dot plot and histogram

AL6.1.7

I can make and interpret box and whisker plots

AL6.1.8

I can engage in problem solving, reasoning, and communication

 

Math - Geometry

Foundations

Unit Outcome

Perform operations with rational numbers

G1.1.1

I can perform operations with rational numbers

G1.1.2

I can solve, write and graph linear equations

 

Equality and Congruence of Geometric Figures

Unit Outcome

Skill: Describe measure and understand equality and congruence of geometric figures.

G2.1.1

I can name and sketch various geometric figures

G2.1.2

I can calculate segment lengths by utilizing the Segment Addition Postulate

G2.1.3

I can find lengths of segment in the coordinate plane

G2.1.4

I can find the midpoint of a segment given its endpoints

G2.1.5

I can name measure, and classify angles

G2.1.6

I can calculate angle measure by utilizing the Angle Addition Postulate

G2.1.7

I can use special angle relationships to find angle measures

 

Parallel and Perpendicular Lines

Unit Outcome

Use properties of parallel and perpendicular lines

GL3.1.1

I can identify angle pairs formed by three intersecting lines

G3.1.2

I can use angles formed from parallel lines and transversals

G3.1.3

I can use angle relationships to prove lines are parallel

G3.1.4

I can use slope to determine if lines are parallel, perpendicular, or neither

G3.1.5

I can write equations of parallel and perpendicular lines

 

Triangles

Unit Outcome

Prove triangles are congruent

GL4.1.1

I can classify triangles (by sides and angles) and find measures of their angles

G4.1.2

I can identify congruent figures

G4.1.3

I can write a congruence statement for congruent figures

G4.1.4

I can use side lengths and/or angle measures to prove triangles are congruent

G4.1.5

I can use congruent triangles to prove corresponding parts are congruent

G4.1.6

I can use theorems about isosceles and equilateral triangles

G4.1.7

I can perform rigid transformations (translations, reflections, rotations)

 

Ratios and Proportions

Unit Outcome

Apply ratios and proportions to similar figures

GL5.1.1

I can solve problems by writing and solving proportions

G5.1.2

I can use proportions to identify similar polygons

G5.1.3

I can use Similarity Postulates to prove figures similar

G5.1.4

I can use proportions with a triangle or parallel lines

G5.1.5

I can perform dilations in the coordinate plane

 

 

 

 

 

Right Triangles

Unit Outcome

Solve Right Triangles

GL6.1.1

I can gind any side length in a right triangle using the Pythagorean Theorem

G6.1.2

I can give triangle side lengths in simplified radical form and rounded decimal form

G6.1.3

I can use the Pythagorean Theorem to determine if a triangle is right, obtuse, or acute

G6.1.4

I can use special right triangle relationships to determine triangle side lengths in a 45-45-90 and 30-60-90 triangle

G6.1.5

I can use sine, cosine, and tangent ratios to solve right triangles

G6.1.6

I can use inverse sine, cosine, and tangent ratios to solve a right triangle

 

 


Polygons

Unit Outcome

Skill: Use characteristics of polygons to calculate area and polygons, surface area and volume polyhedra

G7.1.1

I can find angle measures in a polygon

G7.1.2

I can apply algebraic skills to determine the measures of interior or exterior angles of a polygon

G7.1.3

I can use the characteristics of diagonals in a quadrilaterals

G7.1.4

I can use properties to classify quadrilaterals

G7.1.5

I can identify special quadrilaterals

G7.1.6

I can find areas of quadrilaterals

G7.1.7

Find areas of regular polygons

G7.1.8

I can identify solids

G7.1.9

I can find the surface areas of prisms and cylinders

G7.1.10

I can find the surface areas of pyramids and cones

G7.1.11

I can find the volumes of prisms and cylinders

G7.1.12

I can find the volumes of pyramids and cones

G7.1.13

I can find angle measures in a polygon

 

Circles

Unit Outcome

Apply properties of circles

GL8.1.1

Use properties of a tangent to a circle

G8.1.2

Use angle measures to find arc measures

G8.1.3

Use inscribed angles of circles

G8.1.4

Find arc lengths and other measures

G8.1.5

Find the areas of circles and sectors

G8.1.6

Write equations of circles in the coordinate plane