Grade Level Articulations

1.1.PO 1: Locate rational numbers on a number line.

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Integers

Comparing and Ordering Rational Numbers

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

Real Number Line - Activity A

1.2.PO 4: Determine the square root of an integer.

1.2.PO 6: Apply grade level appropriate properties to assist in computation.

1.2.PO 7: Apply the symbols "square root of" to represent square root, "±" to represent roots, "{}" as grouping symbols.

1.2.PO 9: Calculate the missing value in a percentage problem.

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

Percents and Proportions

1.2.PO 11: Simplify numerical expressions using the order of operations with grade appropriate operations on number sets.

1.3.PO 2: Use estimation to verify the reasonableness of a calculation. (e.g., Is 32 the square root of 64?)

1.3.PO 3: Express answers to the appropriate place or degree of precision. (e.g., time and money)

2.1.PO 2: Construct box and whisker plots.

2.1.PO 3: Determine the appropriate type of graphical display for a given data set.

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

2.1.PO 4: Interpret box-and-whisker plots, circle graphs and scatter plots.

Box-and-Whisker Plots

Correlation

Scatter Plots - Activity A

Solving Using Trend Lines

2.1.PO 5: Answer questions based on box-and-whisker plots, circle graphs and scatter plots.

Box-and-Whisker Plots

Correlation

Scatter Plots - Activity A

Solving Using Trend Lines

2.1.PO 6: Solve problems in contextual situations using the mean, median, mode, and range of a given data set.

Box-and-Whisker Plots

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

2.1.PO 8: Compare trends in data related to the same investigation.

Populations and Samples

Solving Using Trend Lines

2.1.PO 9: Solve contextual problems using scatter plots, box-and-whiskers plots, and double line graphs of continuous data.

Box-and-Whisker Plots

Correlation

Scatter Plots - Activity A

Solving Using Trend Lines

2.1.PO 11: Identify 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 12: Distinguish between causation and correlation.

Correlation

Solving Using Trend Lines

2.2.PO 1: Determine the probability that a specific event will occur in a 2-stage probability experiment.

Geometric Probability - Activity A

2.2.PO 2: Solve contextual situations using probability. (e.g., If the probability of Michelle making a free throw is 0.25, what is the probability that she will make three free throws in a row?)

Geometric Probability - Activity A

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 all possible outcomes involving the combination of two or more sets of objects. (e.g. If you roll a 6 sided number cube 4 times how many possible outcomes are possible?)

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: Extend a grade level appropriate iterative or recursive pattern.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

3.1.PO 3: Solve grade level appropriate iterative or recursive pattern problems.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

3.2.PO 1: Describe the rule used in a simple grade level appropriate function. (e.g., T-chart, input/output model)

Introduction to Functions

Linear Functions

Using Tables, Rules and Graphs

3.2.PO 2: Distinguish between linear and nonlinear functions, given graphic examples.

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

Linear Functions

Point-Slope Form of a Line - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Rational Functions

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

3.2.PO 3: Determine whether a graph or table are related to a given an equation of the form y=ax² where ‘a’ is a natural number.

Linear Functions

Parabolas - Activity A

Point-Slope Form of a Line - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

3.2.PO 4: Identify independent and dependent variables for a contextual situation.

3.3.PO 2: Use variables in contextual situations.

3.3.PO 3: Translate a written sentence or phrase into an algebraic equation or expression and vice versa. (e.g., Three less than twice a number is 2n-3.)

Using Algebraic Equations

Using Algebraic Expressions

3.3.PO 4: Translate a sentence written in context into an algebraic equation involving two operations.

Using Algebraic Equations

Using Algebraic Expressions

3.3.PO 5: Translate a contextual situation into an algebraic inequality. (e.g., Joe earns more than $5.00 an hour; therefore, x > 5)

Using Algebraic Equations

Using Algebraic Expressions

3.3.PO 6: Identify an equation or inequality that represents a contextual situation.

Using Algebraic Equations

Using Algebraic Expressions

3.3.PO 7: Solve one-step equations with rational numbers as coefficients or as solutions.

Modeling One-Step Equations - Activity A

3.3.PO 8: Solve one-step equations that model contextual situations.

Modeling One-Step Equations - Activity A

3.3.PO 9: Solve two-step equations with rational coefficients and integer solutions. (e.g., 3x + 5 = 11, 4x – 20 = 8)

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

3.3.PO 10: Graph an inequality on a number line.

Compound Inequalities

Inequalities Involving Absolute Values

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

3.3.PO 11: Solve a simple algebraic proportion.

3.3.PO 12: Solve applied problems using the Pythagorean theorem.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

3.4.PO 1: Identify the slope of a line as the rate of change. (the ratio of rise over run)

Direct Variation

Direct and Inverse Variation

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Modeling Linear Systems - Activity A

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

4.1.PO 1: Draw a model that demonstrates basic geometric relationships such as parallelism, perpendicularity, similarity/ proportionality, and congruence.

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

4.1.PO 2: Draw three-dimensional figures by applying properties of each. (e.g., parallelism, perpendicularity and congruency)

4.1.PO 3: Recognize the three-dimensional figure represented by a net.

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

4.1.PO 4: Represent the surface area of rectangular prisms and cylinders as the area of their net.

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

4.1.PO 6: Identify the properties of angles created by a transversal intersecting two parallel lines (e.g., corresponding angles are congruent).

Investigating Angle Theorems - Activity A

4.1.PO 7: Recognize the relationship between inscribed angles and intercepted arcs.

Chords and Arcs

Inscribing Angles

4.1.PO 10: Identify corresponding angles of similar polygons as congruent and sides as proportional.

Investigating Angle Theorems - Activity A

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

4.2.PO 1: Identify the planar geometric figure that is the result of a given rigid transformation.

Dilations

Reflections

Rotations, Reflections and Translations

4.2.PO 2: Model a simple transformation on a coordinate grid. (e.g. translate right four units and down two units)

Rotations, Reflections and Translations

Translations

4.3.PO 1: Use a table of values to graph a linear equation.

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Solving Equations By Graphing Each Side

Standard Form of a Line

Using Tables, Rules and Graphs

4.3.PO 2: Determine the midpoint given two points on a number line.

4.3.PO 3: Determine the distance between two points on a number line.

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Integers

Comparing and Ordering Rational Numbers

Real Number Line - Activity A

4.4.PO 1: Solve problems for the area of a trapezoid.

Perimeter, Circumference, and Area - Activity B

4.4.PO 2: Solve problems involving the volume of rectangular prisms and cylinders.

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

4.4.PO 3: Calculate the surface area of rectangular prisms or cylinders.

Prisms and Cylinders - Activity A

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

4.4.PO 4: Identify rectangular prisms and cylinders having the same volume.

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Surface and Lateral Area of Prisms and Cylinders

4.4.PO 5: Find the measure of a missing interior angle in a triangle or quadrilateral.

Area of Parallelograms - Activity A

Triangle Angle Sum - Activity A

4.4.PO 6: Solve problems using ratios and proportions, given the scale factor.

Beam to Moon (Ratios and Proportions)

Dilations

Estimating Population Size

Part:Part and Part:Whole Ratios

Perimeters and Areas of Similar Figures

Polling: Neighborhood

Proportions and Common Multipliers

Similar Figures - Activity A

Similar Polygons

4.4.PO 7: Calculate the length of a side given two similar triangles.

Estimating Population Size

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

5.1.PO 1: Describe how to use a proportion to solve a problem in context.

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Polling: Neighborhood

Proportions and Common Multipliers

Similar Figures - Activity A

Similar Polygons

5.2.PO 1: Solve a logic problem given the necessary information.

Biconditional Statement

Conditional Statement

5.2.PO 2: Identify simple valid arguments using if...then statements. (e.g., All squares are rectangles. If quadrilateral ABCD is a rectangle, is it a square?)

5.2.PO 4: Verify the Pythagorean theorem using an area dissection argument.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

Correlation last revised: 1/20/2017

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.