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Algebra I
Algebra I
AI-A.APR. Algebra - Arithmetic with Polynomials and Rational Expressions
Perform arithmetic operations on polynomials.
AI-A.APR.1. Add, subtract, and multiply polynomials and recognize that the result of the operation is also a polynomial. This forms a system analogous to the integers.
AI-A.CED.3. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.
Understand solving equations as a process of reasoning and explain the reasoning.
AI-A.REI.1a. Explain each step when solving a linear or quadratic equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solutio
AI-A.REI.12. Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the correspondin
Understand the concept of a function and use function notation.
AI-F.IF.1. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f c
Quiz, Flash Cards, Worksheet, Game & Study GuideFunctions
AI-F.IF.3. Recognize that a sequence is a function whose domain is a subset of the integers. (Shared standard with Algebra II)
Quiz, Flash Cards, Worksheet, Game & Study GuideSequences
Analyze functions using different representations.
AI-F.IF.7a. Graph linear, quadratic and exponential functions and show key features.
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
AI-F.LE. Functions - Linear, Quadratic and Exponential Models
Construct and compare linear, quadratic, and exponential models and solve problems.
AI-F.LE.1. Distinguish between situations that can be modeled with linear functions and with exponential functions.
Quiz, Flash Cards, Worksheet, Game & Study GuideFunctions
Quiz, Flash Cards, Worksheet, Game & Study GuideLinear equations
AI-F.LE.1a. Justify that a function is linear because it grows by equal differences over equal intervals, and that a function is exponential because it grows by equal factors over equal intervals.
AI-N.RN.3b. Categorize the sum or product of rational or irrational numbers: The sum and product of two rational numbers is rational; The sum of a rational number and an irrational number is irrational; The product of a nonzero rational number and an irrational numbe
AI-S.ID. Statistics and Probability - Interpreting categorical and quantitative data
Summarize, represent, and interpret data on two categorical and quantitative variables.
AI-S.ID.5. Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.
GEO-G.CO.1. Know precise definitions of angle, circle, perpendicular lines, parallel lines, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc as these exist within a plane.
GEO-G.CO.2. Represent transformations as geometric functions that take points in the plane as inputs and give points as outputs. Compare transformations that preserve distance and angle measure to those that do not.
GEO-G.CO.4. Develop definitions of rotations, reflections, and translations in terms of points, angles, circles, perpendicular lines, parallel lines, and line segments.
GEO-G.CO.5. Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure. Specify a sequence of transformations that will carry a given figure onto another.
GEO-G.CO.6. Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure. Given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
GEO-G.GPE. Geometry - Expressing Geometric Properties with Equations
Use coordinates to prove simple geometric theorems algebraically.
GEO-G.GPE.5. On the coordinate plane: Explore the proof for the relationship between slopes of parallel and perpendicular lines; Determine if lines are parallel, perpendicular, or neither, based on their slopes; and Apply properties of parallel and perpendicular lines
Quiz, Flash Cards, Worksheet, Game & Study GuidePlane figures
GEO-G.GPE.7. Use coordinates to compute perimeters of polygons and areas of triangles and rectangles.
Quiz, Flash Cards, Worksheet, Game & Study GuidePlane figures
GEO-G.SRT. Geometry - Similarity, Right Triangles and Trigonometry
Understand similarity in terms of similarity transformations.
GEO-G.SRT.1. Verify experimentally the properties of dilations given by a center and a scale factor.
GEO-G.SRT.1a. Verify experimentally that dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
GEO-G.SRT.2. Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar. Explain using similarity transformations that similar triangles have equality of all corresponding pairs of angles and the proportion
GEO-G.SRT.5. Use congruence and similarity criteria for triangles to: Solve problems algebraically and geometrically. Prove relationships in geometric figures.
AII-A.REI. Algebra - Reasoning with Equations and Inequalities
Understand solving equations as a process of reasoning and explain the reasoning.
AII-A.REI.1b. Explain each step when solving rational or radical equations as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution
AII-F.BF.1a. Determine a function from context. Determine an explicit expression, a recursive process, or steps for calculation from a context. (Shared standard with Algebra I)