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Unit One: Numbers and Variables

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Using Variables

I can model relationships with variables.
I can model relationships with equations.

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Exponents and Order of Operations

I can simplify and evaluate expressions and formulas.
I can simplify and evaluate expressions with grouping symbols.

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Exploring Real Numbers

I can classify numbers.
I can compare numbers.

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Patterns and Functions

I can write a function rule.
I can understand relationships of quantities in a function.

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Scatter Plots

I can analyzing data using scatter plots.

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Mean, Median, Mode, and Range

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

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

I can apply addition and multiplication and their opposites to solve algebraic equations.

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Solving two-Step Equations

I can multiply and add Real numbers and their inverses to solve algebraic equations.

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The Distributive Property

I can use the Distribu.tive Property.
I can simplify algebraic expressions using the Distributive Property.

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Properties of Numbers.

I can identify properties.
I can use deductive reasoning.

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Finding and Estimating Square Roots

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

 


Solving one-step equations

I can apply addition and multiplication and their opposites to solve algebraic equations.

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Solving two-Step Equations

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

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

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

I can find ratios and rates.
I can solve proportions.

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Proportions and Similar Figures

I can find missing measures of similar figures.
I can use similar figures when measuring indirectly.

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Equations and Problem Solving

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

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

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

I can identify solutions of inequalities
I can graph and write Inequalities.

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Solving Inequalities Using Addition and Subtraction


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

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

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

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

 


Relating Graphs to Events

I can interpret, sketch, and analyze graphs from real-life situations.

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Relations and Functions

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

I can model functions using rules, tables, and graphs.

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Writing a Function Rule

I can write a function rule given a table or real-world situation.

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Direct Variation

I can write an equation of a Direct Variation.
I can use ratios and proportions with Direct Variations.

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Inverse Variation

I can solve Inverse Variations.
I can compare Direct and Inverse Variation.

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Describing Number Patterns

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

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

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


I can interpret linear graphs.

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Standard Form

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

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

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

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

I can express my data in the proper linear, quadratic, or exponential model.

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Unit Four: Exponental Functions

 


Zero and Negative Exponents

I can simplify expressions with zero and negative exponents.
I can evaluate exponential expressions

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Scientific Notation

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


I can multiply powers of like bases

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More Multiplication Properties of Exponents

I can raise a power to a power.
I can raise a product to a power.

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Division Properties of Exponents

I can divide powers with like bases.
I can raise a quotient to a power.

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Exponential Functions

I can graph Exponential Functions.
I can evaluate Exponential Functions.

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Exponential Growth and Decay

I can model Exponential Growth.
I can model Exponential Decay.

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Geometric Sequences

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

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

 


Solving Systems by Graphing


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

I can solve systems of equations by substitution.

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Solving Systems Using Elimination

I can solve systems of equations by elimination. (addition)
I can solve systems of equations by elimination after multiplying.

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Application of Linear Systems


I can write systems of linear equations.

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Linear Inequalities

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

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

 


Exploring Quadratic Graphs

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

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

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


I can solve quadratic equations by factoring.

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Completing the Square


I can solve quadratic equations by completing the square.

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Using the Quadratic Formula

I can solve quadratic equations by using the quadratic formula.

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Using the Discriminant.

I can determine the number and type of solutions by examining the discriminant.

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Choose a Linear, Quadratic, or Exponential Model

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

 


Adding and Subtracting Polynomials

I can describe and define polynomials.
I can add polynomials.

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Multiplying and Factoring

I can multiply a polynomial by a monomial.
I can factor a GCF monomial from a Polynomial.

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Multiplying Binomials

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

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


I can factor trinomials.

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Factoring Trinomials of the type ax2 + bx + c


I can factor trinomials.

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Factoring Special Cases

I can factor perfect squares.
I can find the difference of two squares

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Factoring by Grouping

I can factor polynomials with four terms.
I can factor trinomials by grouping.

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Graphing Rational Functions

I can graph rational functions.
I can identify the types of rational functions.

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Simplifying Rational Expressions

I can simplify rational expressions.

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Multiplying and Dividing Rational Expressions

I can multiply rational expressions.
I can divide rational expressions.

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Dividing Polynomials

I can divide polynomials with synthetic division.

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Adding and Subtracting Rational Expressions

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

I can solve rational equations.
I can solve proportions.

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