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Using Theoretical and Experimental Probability to Make Predictions

Given an event to simulate, the student will use theoretical probabilities and experimental results to make predictions and decisions.

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Sunflower Biscuit Bones (PDF) | Martha Speaks

The PDF of the interactive, informational story "Sunflower Biscuit Bones" designed for in-classroom use.

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6.08 Bonus Video: Law of Sines—The Ambiguous Case

The Law of Sines can be used to solve for sides and angles of oblique triangles. However, in some cases more than one triangle may satisfy the given conditions. We refer to this as an ambiguous case.

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¡El Pollo! | StoryBlocks

La investigación muestra los bebés pueden reconocer que las palabras mucho antes de que puedan hablar.

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Los Elefantes | StoryBlocks

La investigación muestra los bebés pueden reconocer que las palabras mucho antes de que puedan hablar.

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Paint-a-long—Peg + Cat | PBS KIDS Lab

Use this game with children to combine shapes to draw Peg, Cat, and all their friends. Peg can help children every step of the way as they use their paintbrush and different colors to draw snazzy shapes or colorful characters.

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Graphing Proportional Relationships

Given a proportional relationship, students will be able to graph a set of data from the relationship and interpret the unit rate as the slope of the line.

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Analyzing Scatterplots

Given a set of data, the student will be able to generate a scatterplot, determine whether the data are linear or non-linear, describe an association between the two variables, and use a trend line to make predictions for data with a linear association.

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Writing Geometric Relationships

Given information in a geometric context, students will be able to use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

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Exploring Probability with Independent Events

Given a problem situation, students will use experimental data or theoretical probability to make predictions and determine solutions to situations involving independent events.

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Making Inferences and Convincing Arguments about Samples and Populations

Given problem situations that include given or collected data, the student will analyze the data and make inferences and convincing arguments based on the data.

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Selecting and Using Appropriate Operations to Solve Problems

Given problem situations involving rational numbers, the student will select and use appropriate methods to solve the problems.

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Solutions of Simultaneous Equations

Given a graph of two simultaneous equations, students will be able to interpret the intersection of the graphs as the solution to the two equations.

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Comparing and Explaining Transformations

Given rotations, reflections, translations, and dilations, students will be able to develop algebraic representations for rotations, and generalize and then compare and contrast the properties of congruence transformations and non-congruence transformations.

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Mean Absolute Deviation

Given a set of data with no more than 10 data points, students will be able to determine and use the mean absolute deviation to describe the spread of the data.

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Estimating and Finding Solutions to Problems Involving Similarity and Rates

Given application problems involving similarity and rates, the student will estimate and determine the solutions to the problems.

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Generating Similar Figures Using Dilations

Given a figure, the student will identify the scale factor used for a dilation, and use a dilation by a scale factor, including enlargements and reductions, to generate similar figures.

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Using Geometric Concepts and Properties to Solve Problems

Given pictorial representations, the student will use geometric concepts and properties to solve problems from art and architecture.

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Using Proportional Relations to Find Missing Measurements of Two-Dimensional Figures

Given pictorial representations and problem situations of 2-dimensional figures or 3-dimensional figures, the student will use proportional reasoning to find a missing measurement.

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Using Rational Numbers to Solve Problems

Given a problem situation in verbal form, students will select and use an operation involving rational numbers in order to solve the problem.