# MATH - ALGEBRA 1

**Foundations**

Unit Outcome | AL1.1.1 | AL1.1.2 | AL1.1.3 | AL1.1.4 | AL1.1.5 | AL1.1.6 |
---|---|---|---|---|---|---|

Perform operations with rational numbers | 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 | AL2.1.1 | AL2.1.2 | AL2.1.3 | AL2.1.4 | AL2.1.5 | AL2.1.6 |
---|---|---|---|---|---|---|

Solve Linear Equations | 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 | 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 |
---|---|---|---|---|---|---|---|---|---|---|

Solve Linear Equations | 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 | 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 |
---|---|---|---|---|---|---|---|---|---|---|

Write and Compare linear equations | 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 | AL5.1.1 | AL5.1.2 | AL51.3 | AL5.1.4 | AL5.1.5 | AL5.1.6 | AL5.1.7 |
---|---|---|---|---|---|---|---|

I can solve inequalities using basic operations | 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 | AL1.1.1 | AL1.1.2 | AL1.1.3 | AL1.1.4 | AL1.1.5 | AL1.1.6 |
---|---|---|---|---|---|---|

Perform operations with rational numbers | 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 | AL2.1.1 | AL2.1.2 | AL2.1.3 | AL2.1.4 |
---|---|---|---|---|

Skill: Solve systems of equations and inequalities | 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 | AL3.1.1 | AL3.1.2 | AL31.3 | AL3.1.4 | AL3.1.5 | AL3.1.6 | AL3.1.7 |
---|---|---|---|---|---|---|---|

Perform operations with monomials and polynomials | 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 |

**Quadratic Equations**

Unit Outcome | 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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|

Solve quadratic equations | 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 | AL5.1.1 | AL5.1.2 | AL51.3 | AL5.1.4 | AL5.1.5 | AL5.1.4 | AL5.1.5 |
---|---|---|---|---|---|---|---|

I can simplify and solve radical equations | 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 | AL6.1.1 | AL6.1.2 | AL6.1.3 | AL6.1.4 | AL6.1.5 | AL6.1.6 | AL6.1.7 | AL6.1.8 |
---|---|---|---|---|---|---|---|---|

Probability | 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 | G1.1.1 | G1.1.2 |
---|---|---|

Perform operations with rational numbers | I can perform operations with rational numbers | I can solve, write and graph linear equations |

**Equality and Congruence of Geometric Figures**

Unit Outcome | G2.1.1 | G2.1.2 | G2.1.3 | G2.1.4 | G2.1.5 | G2.1.6 | G2.1.7 |
---|---|---|---|---|---|---|---|

Skill: Describe measure and understand equality and congruence of geometric figures. | 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 | GL3.1.1 | G3.1.2 | G3.1.3 | G3.1.4 | G3.1.5 |
---|---|---|---|---|---|

Use properties of parallel and perpendicular lines | 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 | GL4.1.1 | G4.1.2 | G4.1.3 | G4.1.4 | G4.1.5 | G4.1.6 | G4.1.7 |
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Prove triangles are congruent | 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 | GL5.1.1 | G5.1.2 | G5.1.3 | G5.1.4 | G5.1.5 |
---|---|---|---|---|---|

Apply ratios and proportions to similar figures | 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 | GL6.1.1 | G6.1.2 | G6.1.3 | G6.1.4 | G6.1.5 | G6.1.6 |
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Solve Right Triangles | 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 | 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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|

Skill: Use characteristics of polygons to calculate area and polygons, surface area and volume polyhedra | 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 | GL8.1.1 | G8.1.2 | G8.1.3 | G8.1.4 | G8.1.5 | G8.1.6 |
---|---|---|---|---|---|---|

Apply properties of circles | 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 |