Outliers
...lyze data sets. 409872 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 quarti...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/outliers
Introduction to Histograms
... Histograms are particularly useful for very large data sets where a dot plot would be difficult to manage. What are the students doing? Students compare different bin widths for the same data and explore the effect of adding data points to a histogram. What is the teacher doing? Help student...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/introduction-to-histograms
Intro to Data
Intro to Data website The lesson helps students develop a sense of the distribution of data, the number of times each possible outcome occurs. 397179 Intro to Data Planning and Resources...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/introduction-to-data
Median and Interquartile Range
...tudents should understand that summary measures of data identify certain key features of the distribution of the data, but do not necessarily give a complete picture of the distribution. They can identify the median as a measure of center and interquartile range (IQR) as measure of spread relat...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/median-and-interquartile-range
Law of Large Numbers
...utcome as the number of repetitions gets larger and larger (the law of large numbers). They can estimate the probabilities of possible outcomes by repeating the chance process a large number of times. Vocabulary distribution variability sample space outcome frequency relative frequency ...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/law-of-large-numbers
Sample Proportions
...e values of a sample statistic. They understand that the sampling variability among samples is related to size of the samples; as the sample size increases, the variability decreases. Vocabulary random sample sampling variability sampling distributions of a statistic (the proportion) simulated sa...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/sample-proportions
Scatter Plots
...red observations. What to look for Students can highlight the locations of subgroups of the population within the scatter plot to understand how they compare with regard to one or both of the variables in a scatter plot. Sample Assessment A scatter plot of paired measurement variables can often b...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/scatter-plots
Two Way Tables and Categorical Data
... stacked bar graphs can reveal potential associations among categorical variables. What to look for Relative frequency is particularly important when comparing groups of different sample size. Sample Assessment The table below describes risk factors for obesity associated with age. a) What do th...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/two-way-tables
Transforming Data
...t or when each element is multiplied by a non-zero constant. 409873 Transforming Data Planning and Resources Objectives Students recognize how common data transformations affect measures of center and spread. Vocabulary transformation distribution mean median interquartile range (IQR) mea...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/transforming-data
Expressions & Equations
Expressions & Equations website This lesson allows students to investigate exponents and learn how to use exponents as a compact way to write expressions involving whole number multipli...https://education.ti.com/en/building-concepts/activities/expressions
What is a Variable?
...es Students should understand that a variable can take on any one of a range of values. They recognize an algebraic expression as one involving some combination of variables, numbers and mathematical operations. Vocabulary expression variable constant In this lesson students evaluat...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/what-is-a-variable
Adding Ratios
...ge that ratios represent the relationship between two (or more) related quantities; and that, since the values in a ratio are quantities, they can be combined to form a new ratio. 393710 Adding Ratios Planning and Resources Objectives Students should recognize that adding equivalent ratios r...https://education.ti.com/en/building-concepts/activities/ratios/sequence1/adding-ratios
Equations of the Form ax+by = c
... identify unique solutions to a linear equation of the form \(ax+by = c\) Vocabulary linear equation variables constraint solution intercepts linear combinations In this lesson students investigate linear equations of the form \(ax+by = c\). Students use coordinate grids to explor...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/equations-of-the-form-ax-plus-by-equals-c
Fractions and Unit Squares - Texas Instruments
... adjusted slightly depending on the background of the students. The language of tiling is one possible instance—a region is tiled by a shape if it is completely covered by the shape with no gaps or overlaps. Sample Assessment Identify three fractions equivalent to (4/12). Answer: (1/3), (2/6),...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/fractions-and-unit-squares
What is an Exponent?
What is an Exponent? website This lesson allows students to investigate exponents and learn how to use exponents as a compact way to write expressions involving whole number multiplicatio...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/what-is-an-exponent
Fraction Multiplication
... creates a product less than the number; multiplying any number by a fraction greater than one produces a product greater than the number. Vocabulary commutative property of multiplication reciprocal This lesson uses interactive unit squares to explore the concept of fraction multipl...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/fraction-multiplication
References by Texas Instruments - US and Canada
...esearch on math and science education, visit the global TI Research Library. AEL, T. I. f. t. A. o. R. i. E. a. (2004). Review of the research: Nine components of effective professional development. Charleston, WV, AEL. Aldon, G., M. Artigue, et al. (2008). New technological environment, new res...https://education.ti.com/en/resources/funding-and-research/research/research_bibliography
AP® Calculus | BC5 2017 Module | Texas Instruments
... Videos The videos below are divided into two sections: resource and technology. In the resource videos, you’ll find information on scoring, common misconceptions and techniques for approaching topics in the released free-response questions. The technology videos show the tech solutions ...https://education.ti.com/en/resources/ap-calculus/series-and-improper-integrals/sequence1/2017-bc5
AP® Calculus | BC6 2019 Module | Texas Instruments
...y BC6 Planning and Resources Objectives Students understand that the product of a whole number n and a fraction (a/b) is (na/b). Vocabulary commutative property of multiplication of AP® Calculus Module Taylor polynomials and Maclaurin series: Given the graphs of...https://education.ti.com/en/resources/ap-calculus/taylor-polynomials-power-series/sequence3/2019-bc6
AP® Calculus | BC2 2020 Module | Texas Instruments
... creating equivalent fractions that have the same denominator, then use the process for adding fractions with like denominators. Vocabulary congruent common factor of AP® Calculus Module Working with a table of parametric velocity values: Given a table of derivative value...https://education.ti.com/en/resources/ap-calculus/taylor-polynomials-power-series/sequence4/2020-bc2
Extending Exponents
...rns that emerge from generating equivalent expressions involving integer exponents and generalize rules for working with exponents. What is the teacher doing? Encourage students to explore equivalent ways of writing numerical expressions involving integer exponents. The Big Idea ...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/extending-exponents
Building a Table of Ratios
... recognize that the rows (or columns) of a ratio table are some (positive rational) multiple of each other. This will be important when they begin to compare ratios. What to look for Have students explain their strategies for solving problems involving equivalent ratios. Sample Assessment If Sara...https://education.ti.com/en/building-concepts/activities/ratios/sequence1/building-a-table-of-ratios
Solving Equations
...2=2x-3\) d. \(3x-4= 2x+7\) Answer: d. \(3x-4=2x+7\) Understanding Solving linear equations with rational number coefficients can combine a variety of methods. What are the students doing? Students solve equations by a variety of solution strategies and compare solution ...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/solving-equations
Building Expressions
... of a variable or variables but not true for others. For example, “multiplication” makes things larger is true if you are multiplying whole numbers greater than 1. Sample Assessment Which expression is equivalent to 8(x-2) + 4(3-x) - 2x? Answer: 2x-4 Understanding Students consider how...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/building-expressions
What's a Solution to a System of Equations?
...le to describe the solution in terms of the graphs of the two equations, and identify characteristics of equations that will lead to each possible outcome. Vocabulary system of linear equations in two variables intersection slope parallel lines solution to a system of two linear equations ...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/what-is-a-solution-to-a-system-of-equations