Grade Level Articulations
1.1.PO 3: Distinguish between finite and infinite sets of numbers.
Arithmetic and Geometric Sequences
Geometric Sequences
2.1.PO 2: Organize collected data into an appropriate graphical representation.
Box-and-Whisker Plots
Histograms
Line Plots
Scatter Plots - Activity A
Stem-and-Leaf Plots
2.1.PO 3: Display data as lists, tables, matrices, and plots.
2.1.PO 4: Construct equivalent displays of the same data.
Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Line Plots
Scatter Plots - Activity A
Stem-and-Leaf Plots
2.1.PO 6: Identify which of the measures of central tendency is most appropriate in a given situation.
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
2.1.PO 7: Make reasonable predictions based upon linear patterns in data sets or scatter plots.
Linear Functions
Scatter Plots - Activity A
2.1.PO 10: Apply the concepts of mean, median, mode, range, and quartiles to summarize data sets.
Box-and-Whisker Plots
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
2.1.PO 12: Recognize and explain the impact of interpreting data (making inferences or drawing conclusions) from a biased sample.
2.1.PO 13: Draw a line of best fit for a scatter plot.
Correlation
Lines of Best Fit Using Least Squares - Activity A
Solving Using Trend Lines
2.1.PO 14: Determine whether a displayed data has positive, negative, or no correlation.
Correlation
Solving Using Trend Lines
2.1.PO 17: Identify differences between biased and unbiased samples.
2.2.PO 1: Find the probability that a specific event will occur, with or without replacement.
Binomial Probabilities
Geometric Probability - Activity A
2.2.PO 2: Determine simple probabilities related to geometric figures.
Geometric Probability - Activity A
Probability Simulations
Theoretical and Experimental Probability
2.2.PO 4: Record the data from performing a grade level appropriate probability experiment.
Geometric Probability - Activity A
Probability Simulations
2.2.PO 5: Compare the outcome of an experiment to predictions made prior to performing the experiment.
2.2.PO 6: Distinguish between independent and dependent events.
Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events
2.2.PO 7: Compare the results of two repetitions of the same grade level appropriate probability experiment.
Geometric Probability - Activity A
Populations and Samples
Probability Simulations
2.3.PO 1: Determine the number of possible outcomes for a contextual event using a chart, a tree diagram, or the counting principle.
Binomial Probabilities
Histograms
Permutations
Permutations and Combinations
2.3.PO 2: Determine when to use combinations versus permutations in counting objects.
Binomial Probabilities
Permutations
Permutations and Combinations
2.3.PO 3: Use combinations or permutations to solve contextual problems.
Binomial Probabilities
Permutations
Permutations and Combinations
3.1.PO 1: Communicate a grade level appropriate iterative or recursive pattern, using symbols or numbers.
Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences
3.1.PO 2: Find the nth term of an iterative or recursive pattern.
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
3.1.PO 3: Evaluate problems using basic recursion formulas.
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
3.2.PO 1: Determine if a relationship is a function, given a graph, table, or set of ordered pairs.
Cosine Function
Cubic Function Activity
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
General Form of a Rational Function
Introduction to Functions
Linear Functions
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Sine Function
Tangent Function
Using Tables, Rules and Graphs
3.2.PO 2: Describe a contextual situation that is depicted by a given graph.
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
3.2.PO 3: Identify a graph that models a given real-world situation.
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Modeling Linear Systems - Activity A
3.2.PO 4: Sketch a graph that models a given contextual situation.
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
3.2.PO 5: Determine domain and range for a function.
Functions Involving Square Roots
Introduction to Functions
3.2.PO 6: Determine the solution to a contextual maximum / minimum problem, given the graphical representation.
Cubic Function Activity
Fourth-Degree Polynomials - Activity A
Parabolas - Activity A
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Roots of a Quadratic
3.2.PO 7: Express the relationship between two variables using tables/ matrices, equations, or graphs.
Using Algebraic Equations
Using Tables, Rules and Graphs
3.2.PO 8: Interpret the relationship between data suggested by tables/ matrices, equations, or graphs.
Using Tables, Rules and Graphs
3.2.PO 9: Determine from two linear equations whether the lines are parallel, perpendicular, coincident, or intersecting but not perpendicular.
Construct Parallel and Perpendicular Lines
3.3.PO 1: Evaluate algebraic expressions, including absolute value and square roots.
Simplifying Radicals - Activity A
Square Roots
3.3.PO 3: Multiply and divide monomial expressions with integral exponents.
Dividing Exponential Expressions
Multiplying Exponential Expressions
Simplifying Radicals - Activity A
3.3.PO 4: Translate a written expression or sentence into a mathematical expression or sentence.
Using Algebraic Equations
Using Algebraic Expressions
3.3.PO 5: Translate a sentence written in context into an algebraic equation involving multiple operations.
Using Algebraic Equations
Using Algebraic Expressions
3.3.PO 6: Write a linear equation for a table of values.
Slope-Intercept Form of a Line - Activity A
Using Algebraic Equations
Using Algebraic Expressions
Using Tables, Rules and Graphs
3.3.PO 7: Write a linear algebraic sentence that represents a data set that models a contextual situation.
Using Algebraic Equations
Using Algebraic Expressions
3.3.PO 8: Solve linear (first degree) equations in one variable (may include absolute value).
Solving Equations By Graphing Each Side
3.3.PO 9: Solve linear inequalities in one variable.
Linear Inequalities in Two Variables - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
3.3.PO 10: Write an equation of the line given: two points on the line, the slope and a point on the line, or the graph of the line.
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
3.3.PO 11: Solve an algebraic proportion.
3.3.PO 12: Solve systems of linear equations in two variables (integral coefficients and rational solutions).
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
3.3.PO 15: Simplify square roots and cube roots with monomial radicands (including those with variables) that are perfect squares or perfect cubes.
Simplifying Radicals - Activity A
3.3.PO 16: Solve square root radical equations involving only one radical.
3.3.PO 17: Solve quadratic equations.
3.3.PO 18: Identify the sine, cosine, and tangent ratios of the acute angles of a right triangle.
Cosine Function
Sine Function
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Function
Tangent Ratio
Translating and Scaling Sine and Cosine Functions - Activity A
Unit Circle
3.4.PO 1: Determine slope, x-, and y-intercepts of a linear equation.
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
3.4.PO 2: Solve formulas for specified variables.
Solving Formulas for any Variable
4.1.PO 1: Identify the attributes of special triangles. (isosceles, equilateral, right)
Classifying Triangles
Isosceles and Equilateral Triangles
Triangle Angle Sum - Activity A
4.1.PO 2: Identify the hierarchy of quadrilaterals.
Classifying Quadrilaterals - Activity B
4.1.PO 3: Make a net to represent a three-dimensional object.
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones
4.1.PO 4: Make a three-dimensional model from a net.
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones
4.1.PO 6: Solve problems related to complementary, supplementary, or congruent angle concepts.
Investigating Angle Theorems - Activity A
4.1.PO 7: Solve problems by applying the relationship between circles, angles, and intercepted arcs.
Chords and Arcs
Inscribing Angles
4.1.PO 8: Solve problems by applying the relationship between radii, diameters, chords, tangents or secants.
4.1.PO 9: Solve problems using the triangle inequality property.
4.1.PO 11: Determine when triangles are congruent by applying SSS, ASA, AAS or SAS.
Congruence in Right Triangles
Proving Triangles Congruent
Triangle Angle Sum - Activity A
4.1.PO 12: Determine when triangles are similar by applying SAS, SSS, or AA similarity postulates.
Isosceles and Equilateral Triangles
Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons
Triangle Angle Sum - Activity A
4.1.PO 13: Construct a triangle congruent to a given triangle.
Congruence in Right Triangles
Proving Triangles Congruent
4.1.PO 14: Solve contextual situations using angle and side length relationships.
4.2.PO 1: Sketch the planar figure that is the result of two or more transformations.
Dilations
Reflections
Rotations, Reflections and Translations
4.2.PO 2: Identify the properties of the planar figure that is the result of two or more transformations.
Dilations
Reflections
Rotations, Reflections and Translations
4.2.PO 3: Determine the new coordinates of a point when a single transformation is performed on a planar geometric figure.
Rotations, Reflections and Translations
4.2.PO 4: Determine whether a given pair of figures on a coordinate plane represents a translation, reflection, rotation, or dilation.
Dilations
Reflections
Rotations, Reflections and Translations
Translations
4.2.PO 5: Classify transformations based on whether they produce congruent or similar figures.
Constructing Congruent Segments and Angles
Dilations
Perimeters and Areas of Similar Figures
Reflections
Rotations, Reflections and Translations
Similar Figures - Activity A
Similar Polygons
4.2.PO 6: Determine the effects of a single transformation on linear or area measurements of a planar geometric figure.
Area of Parallelograms - Activity A
Dilations
Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Reflections
Rotations, Reflections and Translations
4.3.PO 1: Graph a quadratic equation with lead coefficient equal to one.
Parabolas - Activity A
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
4.3.PO 2: Graph a linear equation in two variables.
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
4.3.PO 3: Graph a linear inequality in two variables.
Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A
Linear Programming - Activity A
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Systems of Linear Inequalities (Slope-intercept form) - Activity A
4.3.PO 4: Determine the solution to a system of equations in two variables from a given graph.
Modeling Linear Systems - Activity A
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
4.3.PO 6: Determine changes in the graph of a linear function when constants and coefficients in its equation are varied.
Functions Involving Square Roots
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs
4.3.PO 7: Determine the distance between two points in the coordinate system.
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
4.4.PO 1: Calculate the area of geometric shapes composed of two or more geometric figures.
Area of Parallelograms - Activity A
Perimeter, Circumference, and Area - Activity B
4.4.PO 2: Calculate the volumes of three-dimensional geometric figures.
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
4.4.PO 3: Calculate the surface areas of three-dimensional geometric figures.
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones
4.4.PO 4: Compare perimeter, area, or volume of figures when dimensions are changed.
Area of Parallelograms - Activity A
Circle: Circumference and Area
Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Rectangle: Perimeter and Area
4.4.PO 6: Find the area of a sector of a circle.
Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B
4.4.PO 7: Solve for missing measures in a pyramid. (i.e., slant height, height)
Pyramids and Cones - Activity A
Surface and Lateral Area of Pyramids and Cones
4.4.PO 8: Find the sum of the interior and exterior angles of a polygon.
Polygon Angle Sum - Activity A
Triangle Angle Sum - Activity A
4.4.PO 9: Solve scale factor problems using ratios and proportions.
Beam to Moon (Ratios and Proportions)
Dilations
Estimating Population Size
Part:Part and Part:Whole Ratios
Perimeters and Areas of Similar Figures
Polling: Neighborhood
Similar Figures - Activity A
Similar Polygons
4.4.PO 10: Solve applied problems using similar triangles.
Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons
5.1.PO 2: Determine whether a given procedure for solving an equation is valid.
Modeling and Solving Two-Step Equations
Solving Two-Step Equations
5.1.PO 3: Determine whether a given procedure for solving a linear inequality is valid.
Linear Inequalities in Two Variables - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
5.2.PO 4: Analyze assertions related to a contextual situation by using principles of logic.
Biconditional Statement
Conditional Statement
5.2.PO 7: Create inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.
Biconditional Statement
Conditional Statement
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Perimeters and Areas of Similar Figures
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
Similar Figures - Activity A
Similar Polygons
5.2.PO 8: Critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.
Biconditional Statement
Conditional Statement
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Perimeters and Areas of Similar Figures
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
Similar Figures - Activity A
Similar Polygons
5.2.PO 13: Construct a simple formal or informal deductive proof.
Biconditional Statement
Conditional Statement
Simplifying Trigonometric Expressions
Sum and Difference Identities for Sine and Cosine
5.2.PO 14: Verify characteristics of a given geometric figure using coordinate formulas such as distance, mid-point, and slope to confirm parallelism, perpendicularity, and congruency.
Congruence in Right Triangles
Distance Formula - Activity A
Proving Triangles Congruent
Slope - Activity B
Correlation last revised: 1/20/2017