# MATH - ALGEBRA 1

### Foundations

 Unit Outcome Perform operations with rational numbers AL1.1.1 AL1.1.2 AL1.1.3 AL1.1.4 AL1.1.5 AL1.1.6 I can evaluate expressions using the order of operations I can identify appropriate inverse operations to solve basic equations I can simplify proper and improper fractions I can add, subtract, multiply and divide rational numbers I can write equivalent expressions using the distributive property I can simplify expressions by combining like terms

### Solve Linear Equations

 Unit Outcome Solve Linear Equations AL2.1.1 AL2.1.2 AL2.1.3 AL2.1.4 AL2.1.5 AL2.1.6 I can explain each step in solving a simple equation I can solve equations in one variable I can rearrange formulas to solve for an indicated variable I can write and solve equations involving angle pair relationships I can solve absolute value equations I can engage in problem solving, reasoning, and communication

### Graph Linear Equations

 Unit Outcome Solve Linear Equations AL3.1.1 AL3.1.2 AL31.3 AL3.1.4 AL3.1.5 AL3.1.6 AL3.1.7 AL3.1.8 AL3.1.9 AL3.1.10 I can explain each step in solving a simple equation I can solve equations in one variable I can rearrange formulas to solve for an indicated variable I can write and solve equations involving angle pair relationships I can solve absolute value equations I can engage in problem solving, reasoning, and communication I can calculate and interpret the average rate of change(slope) for a function. I can use function notation to evaluate and graph functions. I can interpret and compare relationships to parent functions using mathematical vocabulary. I can engage in problem solving, reasoning, and communication

### Write and Compare Linear Equations

 Unit Outcome Write and Compare linear equations AL4.1.1 AL4.1.2 AL41.3 AL4.1.4 AL4.1.5 AL4.1.6 AL4.1.7 AL4.1.8 AL4.1.9 AL4.1.10 I can write an equation in slope-intercept form given: slope and intercept, graph, and two points. I can write an equation in point-slope form given: point and slope, graph, and two points. I can graph an equation written in point-slope form. I can determine the x and y intercepts from a standard form equation I can justify if two lines are parallel. I can write equations of parallel and perpendicular lines. I can determine if lines are parallel or perpendicular. I can identify the correlation from a graph. I can create a scatter plot and write the equation for a line of best fit in order make predictions. 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 AL5.1.2 AL51.3 AL5.1.4 AL5.1.5 AL5.1.6 AL5.1.7 I can graph solutions of inequalities on a numberline. I can solve multi-step inequalities I can solve compound inequalities I can write and graph compound inequalities I can solve and rewrite absolute value inequalities I can engage in problem solving, reasoning, and communication I can solve inequalities using basic operations

## MATH - ALGEBRA 2

### Foundations

 Unit Outcome Perform operations with rational numbers AL1.1.1 AL1.1.2 AL1.1.3 AL1.1.4 AL1.1.5 AL1.1.6 I can identify appropriate inverse operations to solve basic equations I can simplify proper and improper fractions I can add, subtract, multiply and divide rational numbers I can write equivalent expressions using the distributive property I can simplify expressions by combining like terms I can engage in problem solving, reasoning, and communication

### Inequalities

 Unit Outcome Skill: Solve systems of equations and inequalities AL2.1.1 AL2.1.2 AL2.1.3 AL2.1.4 I can solve a system of linear equations by graphing, using substitution, and/or elimination I can recognize solutions to special systems that have infinitely many or no solutions (graphically and algebraically) I can graph and identify solutions of linear inequalities on the coordinate plane based on shading 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 AL3.1.2 AL31.3 AL3.1.4 AL3.1.5 AL3.1.6 AL3.1.7 I can solve a system of linear equations by graphing, using substitution, and/or elimination I can recognize solutions to special systems that have infinitely many or no solutions (graphically and algebraically) I can graph and identify solutions of linear inequalities on the coordinate plane based on shading I can graph and identify solutions of a system of linear inequalities on the coordinate plane based on shading I can perform operations with numbers expressed in scientific notation I can perform operations with polynomials I can engage in problem solving, reasoning, and communication

 Unit Outcome Solve quadratic equations AL4.1.1 AL4.1.2 AL41.3 AL4.1.4 AL4.1.5 AL4.1.6 AL4.1.7 AL4.1.8 AL4.1.9 AL4.1.10 AL4.1.11 AL4.1.12 I can factor polynomial expressions(using special products, GCF) I can solve polynomial equations in factored form I can factor and solve trinomials in standard form I can factor by grouping I can use factoring to solve real world problems* I can graph quadratic functions using a table I can identify vertex and axis of symmetry of a graph using x = -b/2a I can identify maximum and minimum values of a function I can solve quadratic equations by finding zeros (intercepts of a graph) I can use square root method to solve quadratic equations I can use quadratic formula to solve quadratic equations Engage in problem solving, reasoning, and communication

### Graph and Interpret Radical Equations

 Unit Outcome I can simplify and solve radical equations AL5.1.1 AL5.1.2 AL51.3 AL5.1.4 AL5.1.5 AL5.1.4 AL5.1.5 I can graph a square root function by creating a table I can simplify radical expressions I can solve radical equations I can determine if all solutions to radical equations are valid I can use the Pythagorean theorem to find missing sides of a right triangle or determine if given side lengths form a right triangle I can use the distance and midpoint formulas I can engage in problem solving, reasoning, and communication

### Probability

 Unit Outcome Probability AL6.1.1 AL6.1.2 AL6.1.3 AL6.1.4 AL6.1.5 AL6.1.6 AL6.1.7 AL6.1.8 I can find sample spaces and probabilities using theoretical and experimental probability I can use permutations and counting principal to arrange objects I can find the probability of a compound event I can identify population and sampling methods I can compare measures of central tendencies I can make a stem leaf, dot plot and histogram I can make and interpret box and whisker plots I can engage in problem solving, reasoning, and communication

## MATH - GEOMETRY

### Foundations

Unit Outcome Perform operations with rational numbers G1.1.1 G1.1.2 I can perform operations with rational numbers 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 G2.1.2 G2.1.3 G2.1.4 G2.1.5 G2.1.6 G2.1.7 I can name and sketch various geometric figures I can calculate segment lengths by utilizing the Segment Addition Postulate I can find lengths of segment in the coordinate plane I can find the midpoint of a segment given its endpoints I can name measure, and classify angles I can calculate angle measure by utilizing the Angle Addition Postulate 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 G3.1.2 G3.1.3 G3.1.4 G3.1.5 I can identify angle pairs formed by three intersecting lines I can use angles formed from parallel lines and transversals I can use angle relationships to prove lines are parallel I can use slope to determine if lines are parallel, perpendicular, or neither I can write equations of parallel and perpendicular lines

### Triangles

 Unit Outcome Prove triangles are congruent GL4.1.1 G4.1.2 G4.1.3 G4.1.4 G4.1.5 G4.1.6 G4.1.7 I can classify triangles (by sides and angles) and find measures of their angles I can identify congruent figures I can write a congruence statement for congruent figures I can use side lengths and/or angle measures to prove triangles are congruent I can use congruent triangles to prove corresponding parts are congruent I can use theorems about isosceles and equilateral triangles I can perform rigid transformations (translations, reflections, rotations

### Ratios and Proportions

 Unit Outcome Apply ratios and proportions to similar figures GL5.1.1 G5.1.2 G5.1.3 G5.1.4 G5.1.5 I can solve problems by writing and solving proportions I can use proportions to identify similar polygons I can use Similarity Postulates to prove figures similar I can use proportions with a triangle or parallel lines I can perform dilations in the coordinate plane

### Right Triangles

 Unit Outcome Solve Right Triangles GL6.1.1 G6.1.2 G6.1.3 G6.1.4 G6.1.5 G6.1.6 I can gind any side length in a right triangle using the Pythagorean Theorem I can give triangle side lengths in simplified radical form and rounded decimal form I can use the Pythagorean Theorem to determine if a triangle is right, obtuse, or acute I can use special right triangle relationships to determine triangle side lengths in a 45-45-90 and 30-60-90 triangle I can use sine, cosine, and tangent ratios to solve right triangles I can use inverse sine, cosine, and tangent ratios to solve a right

### Polygons

 Unit Outcome Skill: Use characteristics of polygons to calculate area and polygons, surface area and volume polyhedra G7.1.1 G7.1.2 G7.1.3 G7.1.4 G7.1.5 G7.1.6 G7.1.7 G7.1.8 G7.1.9 G7.1.10 G7.1.11 G7.1.12 G7.1.13 I can find angle measures in a polygon I can apply algebraic skills to determine the measures of interior or exterior angles of a polygon I can use the characteristics of diagonals in a quadrilaterals I can use properties to classify quadrilaterals I can identify special quadrilaterals I can find areas of quadrilaterals Find areas of regular polygons I can identify solids I can find the surface areas of prisms and cylinders I can find the surface areas of pyramids and cones I can find the volumes of prisms and cylinders I can find the volumes of pyramids and cones I can find angle measures in a polygon

### Circles

 Unit Outcome Apply properties of circles GL8.1.1 G8.1.2 G8.1.3 G8.1.4 G8.1.5 G8.1.6 Use properties of a tangent to a circle Use angle measures to find arc measures Use inscribed angles of circles Find arc lengths and other measures Find the areas of circles and sectors Write equations of circles in the coordinate plane