https://padlet.com/adevincenzi/a8mcwjy7apwh en-us 2016-02-16 18:42:25 UTC 2025-12-18 13:24:08 UTC hello@padlet.com adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95384104 Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.]]> 2016-02-16 18:54:31 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95384104 adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95384240 Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.]]> 2016-02-16 18:55:06 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95384240 adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95384332 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.]]> 2016-02-16 18:55:27 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95384332 adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95384419 Develop understanding of statistical variability.]]> 2016-02-16 18:55:47 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95384419 adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95384521 Display numerical data in plots on a number line, including dot plots, histograms, and box plots.]]> 2016-02-16 18:56:12 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95384521 adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95384821 Summarize numerical data sets in relation to their context, such as by:  Reporting the number of observations.]]> 2016-02-16 18:57:04 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95384821 adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95385035 Summarize numerical data sets in relation to their context, such as by:  Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.]]> 2016-02-16 18:57:43 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95385035 adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95385213 Summarize numerical data sets in relation to their context, such as by:  Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.]]> 2016-02-16 18:58:21 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95385213 adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95385402 Summarize numerical data sets in relation to their context, such as by:  Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.]]> 2016-02-16 18:58:59 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95385402 adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95385629 Summarize and describe distributions.]]> 2016-02-16 18:59:44 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95385629 adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95385735 Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.]]> 2016-02-16 19:00:04 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95385735 adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95385836 Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.]]> 2016-02-16 19:00:23 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95385836 adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95385981 Use random sampling to draw inferences about a population.]]> 2016-02-16 19:00:51 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95385981 adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95386122 Draw informal comparative inferences about two populations.]]> 2016-02-16 19:01:18 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95386122 adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95386203 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.]]> 2016-02-16 19:01:36 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95386203 adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95386283 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. ]]> 2016-02-16 19:01:53 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95386283 adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95386401 Investigate patterns of association in bivariate data.]]> 2016-02-16 19:02:19 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95386401 adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95386604 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.]]> 2016-02-16 19:03:11 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95386604 adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95386690 Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.]]> 2016-02-16 19:03:29 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95386690 adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95386754 Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.]]> 2016-02-16 19:03:44 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95386754 adevincenzi https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95386900 Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables.]]> 2016-02-16 19:04:20 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95386900 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95447890 -Classify and categorize objects
-Represent the distribution of data (picture, bar, line, dot, table)]]> 2016-02-17 01:00:26 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95447890 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95448434 Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object.]]> 2016-02-17 01:05:08 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95448434 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95448464 Directly compare two objects with a measurable attribute in common, to see which object has "more of"/"less of" the attribute, and describe the difference.]]> 2016-02-17 01:05:31 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95448464 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95448490 Classify objects into given categories; count the numbers of objects in each category and sort the categories by count]]> 2016-02-17 01:05:49 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95448490 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95448605 Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another.]]> 2016-02-17 01:07:10 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95448605 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95448833 Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step "how many more" and "how many less" problems using information presented in scaled bar graphs]]> 2016-02-17 01:09:43 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95448833 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95449003 Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule "Add 3" and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.]]> 2016-02-17 01:11:26 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95449003 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95449060 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane.]]> 2016-02-17 01:11:59 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95449060 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95449869 -Generate own questions
-Devise own experiments
-Interpret study data
-Choose appropriate methods of analysis]]> 2016-02-17 01:19:38 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95449869 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95450140 Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.]]> 2016-02-17 01:22:01 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95450140 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95450215 Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models.]]> 2016-02-17 01:22:37 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95450215 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95450259 Compute (using technology) and interpret the correlation coefficient of a linear fit.]]> 2016-02-17 01:23:07 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95450259 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95450266 Distinguish between correlation and causation.]]> 2016-02-17 01:23:10 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95450266 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95450409 Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.]]> 2016-02-17 01:24:33 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95450409 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95450477 Evaluate reports based on data.]]> 2016-02-17 01:25:15 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95450477 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95450483 Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.]]> 2016-02-17 01:25:20 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95450483 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95450710 Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.]]> 2016-02-17 01:27:42 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95450710 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95451633 Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.]]> 2016-02-17 01:37:15 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95451633 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95451707 Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.]]> 2016-02-17 01:37:55 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95451707 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95451736 Solve unit rate problems including those involving unit pricing and constant speed.]]> 2016-02-17 01:38:14 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95451736 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95451784 Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.]]> 2016-02-17 01:38:32 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95451784 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95451890 Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.]]> 2016-02-17 01:39:22 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95451890 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95451934 Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates]]> 2016-02-17 01:39:44 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95451934 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95451973 Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.]]> 2016-02-17 01:40:06 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95451973 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95452135 Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. ]]> 2016-02-17 01:41:37 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95452135 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95452210 Fluently divide multi-digit numbers using the standard algorithm.]]> 2016-02-17 01:42:18 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95452210 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95452271 Recognize and represent proportional relationships between quantities.]]> 2016-02-17 01:42:46 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95452271 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95452364 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.]]> 2016-02-17 01:43:34 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95452364 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95452447 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.]]> 2016-02-17 01:44:20 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95452447 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95452519 Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.]]> 2016-02-17 01:44:59 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95452519 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95452623 Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.]]> 2016-02-17 01:45:58 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95452623 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95452662 Compare properties of two functions each represented in a different way]]> 2016-02-17 01:46:27 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95452662 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95452688 Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.]]> 2016-02-17 01:46:47 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95452688 https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95452704 Construct a function to model a linear relationship between two quantities. Determine the rate of change  and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.]]> 2016-02-17 01:47:04 UTC https://padlet.com/adevincenzi/a8mcwjy7apwh/wish/95452704