Calculus
...ator can be used to amplify and illustrate the meanings of important calculus concepts. Author(s) - Linda Antinone, Thomas Dick, Kevin Fitzpatrick, Michael Grasse, Mark Howell Table of Contents 1. Approaching Limits 2. Is There a Limit to Which Side You Can Take? 3. To Infinity and Beyond!...https://education.ti.com/en/activities/exploration-series/calculus
89 ap calculus
...acilitates a three-fold (numeric, graphic, and analytic) approach to understanding and using math. Author(s) - Ray Barton and John Diehl Table of Contents 1. Functions, Graphs, and Limits 2. Differentiation 3. Application of the Derivative 4. Integration 5. Riemann Sums and the Fundame...https://education.ti.com/en/activities/exploration-series/89-ap-calculus
Visualizing Equations Using Mobiles
...ides a foundation for reasoning about strategies for solving equations. What to look for Some students may reason about the numerical value for each expression in an equation and how they must be the same, while others may reason by identifying numbers that make the mobile unbalanced and in w...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/visualizing-equations-using-mobiles
Probability Diagrams and Tables
...ng at the same time. 408114 Probability Diagrams and Tables Planning and Resources Objectives Students distinguish between an experiment in which the outcomes are equally likely and one in which the outcomes are not equally likely. They organize a list of all possible outcomes and find the...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/probability-diagrams-and-tables
Probability and Simulation
...e will account for some variability, but overall the estimates of the probability of success from simulated distributions should be fairly close, provided the number of repetitions is fairly large. Sample Assessment Which of the following could be used to model a 50% chance in a setting up a simu...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/probability-and-simulation
Outliers
...872 Outliers Planning and Resources Objectives Students learn to identify outliers in a set of data through both visual and computational approaches. They can describe the impact of outliers on measures of center and spread. Vocabulary outlier upper quartile lower quartile interquartile ran...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/outliers
Modeling Linear Relationships
...ear equations and assess the fit of the model using the sum of the absolute value of the deviations. Vocabulary association linear regression rate of change residual In this lesson, students investigate patterns of association in bivariate data looking for direction, strength, and fo...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/modeling-linear-relationships
Introduction to Histograms
... PDF DOC TNS Lesson Snapshot Students explore how changing the bin width can change the story in the distribution of the data. What to look for Note that histograms are ordered according to a numbe...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/introduction-to-histograms
Intro to Data
...f data, the number of times each possible outcome occurs. 397179 Intro to Data Planning and Resources Objectives Students should understand the idea of a distribution of a set of data. They can identify clusters, peaks, and gaps, and recognize common shapes in graphical representations of...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/introduction-to-data
Comparing Populations using Sample Statistics
... TNS Lesson Snapshot Two simulated sampling distributions that have a small amount of variability and little overlap provide some evidence of a real difference between the two population means. What to look for Investigating the distribution of the numerical differenc...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/comparing-populations-using-sample-statistics
Median and Interquartile Range
...half of the values in a data set have values less than the median. Answer: True c. If you add 10 to every element of a data set, the median will not change. Answer: False d. If you add 10 to every element of a data set, the IQR will not change. Answer: True Understanding Dot plots di...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/median-and-interquartile-range
Mean as Fair Share
... “fair share” as totaling all of the data and sharing the total equally, that is dividing the sum of the data values by the number of data values, which leads to the standard definition of mean. Vocabulary mean This lesson introduces students to mean as a way to describe the center o...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/mean-as-fair-share
Mean as Balance Point
... Assessment Given the set {1, 5, 7, 7, 10}, if you add the value 6 to the data, the mean absolute deviation will? a. Increase b. Decrease c. Remain unchanged d. There is not enough information to tell how the value will affect the mean absolute deviation. Answer: B Understanding The me...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/mean-as-balance-point
Law of Large Numbers
... The frequency is just the count for how many times a color was drawn. The relative frequency is how many times a certain color jellybean occurred divided by the total number of jellybeans drawn. What to look for Students recognize that the relative frequency of an outcome is likely to be close t...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/law-of-large-numbers
Comparing Distributions
...en or women? Answer: 35 points Understanding Graphs and summary statistics can be used to make comparisons among distributions of the same characteristic for different populations. What are the students doing? Students evaluate advantages and disadvantages of using dot plots, box plots...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/comparing-distributions
Box Plots
...rresponding box plot. They recognize that the sizes of the four intervals determined by the box plot reflect the spread of the data values and that each interval contains approximately 14 of the data. Vocabulary median upper quartile lower quartile minimum maximum interquartile range (IQR) box p...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/box-plots
Sample Proportions
...t the variability will be close to the 75%. Understanding A statistic computed from a random sample can be used as an estimate of that same characteristic of the population from which the sample was selected. What are the students doing? Students investigate the relationship between sam...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/sample-proportions
Sample Means
...r In order to have a predictable shape and spread for a simulated sampling distribution, the sample size must be large. Sample Assessment Identify each statement as true or false. a) The larger the sample size the more likely that a sample mean will be farther from the population mean. Answer: ...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/sample-means
Scatter Plots
...r the one by (32, 34)? Explain your answer. Answer: The two brands have almost the same rating but one costs $4 and the other $34, so I would buy the cheaper one. c) If you were willing to pay about $15 for the tool, what brand would you look for? Answer: a brand with rating greater than 50 Und...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/scatter-plots
Two Way Tables and Categorical Data
... Does there appear to be an association between age group and obesity risk? Answer: There does appear to be ans association. The older group has a much higher percentage at risk than the younger group. Understanding Two-way tables of relative frequencies provide numerical evidence for ...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/two-way-tables
Transforming Data
... by shifting or scaling to assist in its analysis. Sample Assessment One of the problems on a mathematics test was incorrectly stated. The teacher decided to add 3 bonus points to everyone's test score. If the mean grade on the test was originally 84 with a mean absolute deviation (MAD) of 10, wh...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/transforming-data
Linear Inequalities in One Variable
...nts doing? Students reason about order-preserving and solution- preserving moves while using interactive visuals on a number line. What is the teacher doing? Encourage students to think about the ways they learned to solve equations that apply similarly to solving inequalities. The Big Ide...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/linear-inequalities-in-one-variable
What is a Variable?
.... What to look for Students leave behind the symbol “x” for multiplication and come to understand that the juxtaposition of a number and a variable such as 3x implies multiplication between 3 and x. Sample Assessment If a=115 and b=45, what would be the value of the expression b+(a - b)? a 115 ...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/what-is-a-variable
Visualizing Quadratic Expressions
... model, recognize quadratic expressions in many forms, and understand that the product of two binomial expressions can be determined by multiplying each term in one sum by each term in the other sum. Vocabulary rectangle square area In this lesson students manipulate geometric figure...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/visualizing-quadratic-expressions
Adding Ratios
...alent to the original; and that the coordinates representing the ratio lie on the same line. What to look for At the end of the lesson, have students change the ratios for the blue and pink segments and explain what each segment represents. Discuss as a class the effects the rates associated with...https://education.ti.com/en/building-concepts/activities/ratios/sequence1/adding-ratios