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Unit One: Numbers and Variables |
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Using Variables
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I can model relationships with variables.
I can model relationships with equations. |
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Exponents and Order of Operations
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I can simplify and evaluate expressions and formulas.
I can simplify and evaluate expressions with grouping symbols. |
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Exploring Real Numbers
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I can classify numbers.
I can compare numbers. |
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Patterns and Functions
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I can write a function rule.
I can understand relationships of quantities in a function. |
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Scatter Plots
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I can analyzing data using scatter plots. |
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Mean, Median, Mode, and Range
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I can find mean, median, and mode.
I can make and use stem-and-leaf plots. |
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Adding, Subtracting, Multiplying and Dividing Rational Numbers
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I can add and multiply Real numbers using models and rules.
I can apply addition and multiplication and their inverses. |
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Solving one-step equations
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I can apply addition and multiplication and their opposites to solve algebraic equations. |
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Solving two-Step Equations
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I can multiply and add Real numbers and their inverses to solve algebraic equations. |
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The Distributive Property
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I can use the Distribu.tive Property.
I can simplify algebraic expressions using the Distributive Property. |
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Properties of Numbers.
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I can identify properties.
I can use deductive reasoning. |
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Finding and Estimating Square Roots
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I can find square roots.
I can memorize the first 13 perfect squares.
I can estimate and use square roots. |
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Order of operations |
I can use the order of operations to evaluate expressions.
I can use formulas. |
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classifying Number |
I can classify real numbers.
I can use the properties of real numbers to evaluate expressions. |
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Translation |
I can translate verbal expressionsto algebraic equations. ( vv)
I can solve equations involving the property of equality. |
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Unit Two: Equations |
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Solving one-step equations
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I can apply addition and multiplication and their opposites to solve algebraic equations. |
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Solving two-Step Equations
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I can multiply and add Real numbers and their inverses to solve algebraic equations.
|I can solve two-step equations.
I can use Deductive Reasoning. |
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Solving Multi-Step Equations
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I can use the Distributive Property when combining like terms.
I can use the Distributive Property when solving equations. |
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Equations With Variables on Both Sides
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I can solve equations with variables on both sides
I can identify equations that are identities and have no solutions. |
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Ratio and Proportions
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I can find ratios and rates.
I can solve proportions. |
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Proportions and Similar Figures
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I can find missing measures of similar figures.
I can use similar figures when measuring indirectly. |
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Equations and Problem Solving
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I can define one variable in terms of another variable.
I can model distance, rate, and time problems. |
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Percent of Change
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I can find the percent of change.
I can find the percent of error.
I can understand slope as a ratio of change. |
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The Pythagorean Theorem
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I can solve problems using the Pythagorean Theorem.
I can identify right, acute, and obtuse triangles using the Pythagorean Theorem.
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Inequalities and Their Graphs
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I can identify solutions of inequalities
I can graph and write Inequalities. |
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Solving Inequalities Using Addition and Subtraction
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I can use addition and its inverse to solve inequalities.
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Solving Inequalities Using Multiplication and Division |
I can use multiplication and its inverse to solve inequalities.
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Solving Multi-Step Inequalities
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I can solve multi-step inequalities with variables on one side.
I can solve multi-step inequalities with variables on both sides. |
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Compound Inequalities
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I can solve and graph inequalities containing the word 'and’.
I can solve and graph inequalities containing the word 'or’.
I can recognize the union and intersection of sets. |
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Absolute Value Equations and Inequalities
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I can solve equations that involve absolute value.
I can solve inequalities that involve absolute value. |
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Absolute Value |
I can evaluate expressions involving absolute value.
I can solve absolute value equations.
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Inequalities |
I can solve one-step inequalities.
I can solve multi-step inequalities.
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Inequalities |
I can solve compound inequalities.
I can solve absolute value inequalities. |
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Unit Three: Linear and Other Functions |
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Relating Graphs to Events
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I can interpret, sketch, and analyze graphs from real-life situations. |
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Relations and Functions
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I can identify relations and functions.
I can apply the three test to determine a function.
I can evaluate functions.
I can distinguish between the independent and dependent variables. |
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Function Rules, Tables, and Graphs
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I can model functions using rules, tables, and graphs. |
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Writing a Function Rule
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I can write a function rule given a table or real-world situation. |
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Direct Variation
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I can write an equation of a Direct Variation.
I can use ratios and proportions with Direct Variations. |
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Inverse Variation
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I can solve Inverse Variations.
I can compare Direct and Inverse Variation. |
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Describing Number Patterns
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I can use Inductive Reasoning in continuing number patterns.
I can write rules for Arithmetic Sequences. |
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Rate of Change and Slope
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I can find rates of change from tables and graphs.
I can memorize the slope formula.
I can find slope given two points. |
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Slope-Intercept Form
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I can write a linear equations in Slope-Intercept Form from the slope and intercept point.
I can graph linear equations using a t-graph.
I can graph linear equations using a graphing calculator. |
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Applying Linear Functions
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I can interpret linear graphs.
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Standard Form
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I can graph equations using intercepts.
I can convert equations from Slope-Intercept Form to Standard Form. |
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Point-Slope Form and Writing Linear Equations
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I can graph and write linear equations using Point-Slope Form.
I can write a linear equation using data.
I can convert equations from Point-Slope Form to Slope-Intercept Form.
I can convert equations from Point-Slope Form to Standard Form.
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Parallel and Perpendicular Lines
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I can determine whether lines are parallel.
I can determine whether lines are perpendicular.
I can write equations of lines given a point and it being parallel to another line.
I can write equations of lines given a point and it being perpendicular to another line. |
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Scatter Plots and Equations of Lines |
I can write an equation for a Trend Line and use it to make predictions.
I can write an equation for a Best Fit Line and use it to make predictions |
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Graphing Absolute Value Equations
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I can translate the graph of an Absolute Value Equation |
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Piece-Wise Functions |
I can write and graph piecewise functions.
I can write and graph absolute value functions. |
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Parent Functions |
I can identify and use parent functions.
I can describe transformations of functions.
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Choose a Linear, Quadratic, or Exponential Model
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I can express my data in the proper linear, quadratic, or exponential model. |
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Unit Four: Exponental Functions |
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Zero and Negative Exponents
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I can simplify expressions with zero and negative exponents.
I can evaluate exponential expressions |
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Scientific Notation
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I can transfer numbers from Scientific and Standard Notation.
I can transfer numbers from Standard to Scientific Notation.
I can use Scientific Notation. |
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Multiplication Properties of Exponents
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I can multiply powers of like bases
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More Multiplication Properties of Exponents
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I can raise a power to a power.
I can raise a product to a power. |
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Division Properties of Exponents
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I can divide powers with like bases.
I can raise a quotient to a power. |
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Exponential Functions
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I can graph Exponential Functions.
I can evaluate Exponential Functions. |
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Exponential Growth and Decay
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I can model Exponential Growth.
I can model Exponential Decay. |
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Geometric Sequences
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I can form Geometric Sequences.
I can use formulas when describing Geometric Sequences
I can find a specific term of a Geometric Sequence. |
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Choose a Linear, Quadratic, or Exponential Model
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I can express my data in the proper linear, quadratic, or exponential model. |
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logarithmic expressions. |
I can evaluate logarithmic expressions.
I can graph logarithmic expressions.
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logarithmic expressions. |
I can solve logarithmic equations.
I can solve logarithmic inequalities.
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logarithmic expressions. |
I can simplify and evaluate expressions using the properties of logarithms.
I can solve logarithmic equations using the properties of logarithms.
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logarithmic expressions. |
I can solve exponential equations and inequalities using the properties of common logarithms.
I can evaluate logarithmic expressions using the change of base formula. |
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logarithmic expressions. |
I can evaluate expressions involving the natural base and natural logarithm.
I can solve exponential equations using natural logarithms.
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logarithmic expressions. |
I can solve problems involving exponential growth and decay.
I can use logarithms to solve problems involving logistic growth.
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Unit Five: Systems of Equations |
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Solving Systems by Graphing
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I can solve systems of equations by graphing.
I can analyze special types of systems of equations.
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Solving Systems Using Substitution
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I can solve systems of equations by substitution. |
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Solving Systems Using Elimination
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I can solve systems of equations by elimination. (addition)
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can solve systems of equations by elimination after multiplying. |
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Application of Linear Systems
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I can write systems of linear equations.
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Linear Inequalities
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I can graph linear inequalities.
I can write and use linear inequalities when modeling real-world situations. |
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Systems of Linear Inequalities
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I can solve systems of linear inequalities by graphing.
I can model real-world situations using systems of linear inequalities. |
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Maximium |
I can find the maximum and minimum values over a region.
I can solve real word problems using linear programming. |
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Three Variables |
I can solve equations of linear equations in three variables.
I can solve real word problems involving linear equations in three variables. |
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Matrices |
I can analyze data in matrices.
I can perform algebraic operations with matrices.
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Determinants |
I can evaluate determinants.
I can solve systems of equations according to Cramer’s rule. |
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Inverse |
I can solve matrices by inverses.
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Unit Six: Quadratic Functions |
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Exploring Quadratic Graphs
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I can graph quadratic functions in the form y=ax2 by T-square points.
I can graph quadratic functions in the form y=ax2 +c by T-square points.
I can graph quadratic functions on the TI-83 calculator. |
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Quadratic Functions
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I can graph quadratic functions in the form y=ax2 bx +c by T-square points.
I can graph quadratic functions in the form y=ax2 bx +c on the TI-83 calculator.
I can graph quadratic Inequalities. |
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Solving Quadratic Equations
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I can solve quadratic equations by graphing.
I can solve quadratic equations by using the square root property. |
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Factoring to Solve Quadratic Equations
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I can solve quadratic equations by factoring.
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Completing the Square
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I can solve quadratic equations by completing the square.
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Using the Quadratic Formula
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I can solve quadratic equations by using the quadratic formula.
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Using the Discriminant.
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I can determine the number and type of solutions by examining the discriminant. |
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Choose a Linear, Quadratic, or Exponential Model
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I can express my data in the proper linear, quadratic, or exponential model. |
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Sstandard Form |
I can write quadratic equations in standard form.
I can solve quadratic equations by factoring. |
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I and Complex |
I can perform operations with pure imaginary numbers.
I can perform operations with complex numbers.
pinterest imaginary/complex |
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Completing the Square |
I can solve quadratic equations by using the square root property.
I can solve quadratic equations by completing the square.
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Unit Seven: Polynomials |
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Adding and Subtracting Polynomials
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I can describe and define polynomials.
I can add polynomials. |
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Multiplying and Factoring
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I can multiply a polynomial by a monomial.
I can factor a GCF monomial from a Polynomial. |
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Multiplying Binomials
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I can multiply binomials using the FOIL method.
I can multiply trinomials and binomials by the long method. |
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Multiplying Special Cases
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I can find the square of a binomial.
I can find the difference of two squares. |
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Factoring Trinomials of the type x2 + bx + c
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I can factor trinomials.
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Factoring Trinomials of the type ax2 + bx + c
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I can factor trinomials.
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Factoring Special Cases
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I can factor perfect squares.
I can find the difference of two squares |
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Factoring by Grouping
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I can factor polynomials with four terms.
I can factor trinomials by grouping. |
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Graphing Rational Functions
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I can graph rational functions.
I can identify the types of rational functions. |
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Simplifying Rational Expressions
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I can simplify rational expressions. |
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Multiplying and Dividing Rational Expressions
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I can multiply rational expressions.
I can divide rational expressions. |
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Dividing Polynomials
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I can divide polynomials with synthetic division. |
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Adding and Subtracting Rational Expressions
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I can add and subtract rational expressions with like denominators.
I can add and subtract rational expressions with unlike denominators. |
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Solving Rational Equations
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I can solve rational equations.
I can solve proportions. |
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