Comparing Populations using Sample Statistics
... 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 difference between sample means can provide indication of a real difference between population means. Sam...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/comparing-populations-using-sample-statistics
Choosing Random Samples
...(the large set of interest) and a sample (a subset of that population). Sample Assessment A survey given to some of the people at the mall on Friday night indicated that shopping hours at the mall should be extended. What is the population for this sample? Answer: People who were shopping at the ...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/choosing-random-samples
Median and Interquartile Range
...dation for understanding interquartile ranges. What to look for Students should note that there are the same number of points to the left and to the right of the median; regardless of the shape of the distribution. Sample Assessment Identify the following as true or false. a. The median is the mi...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/median-and-interquartile-range
Mean as Fair Share
...as the same amount or 2) total all the contributions and divide the total equally among the contributors. What are the students doing? Students investigate the standard definition of mean by totaling the number of bags of dog food and sharing the amount equally between the number of dogs. What is...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/mean-as-fair-share
Mean as Balance Point
... The mean is the balance point of a data distribution of data as well as a center of the distribution. What are the students doing? Students investigate the spread around the mean, which is typically measured in terms of how far the data values deviate from the mean. What is the teacher doing?...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/mean-as-balance-point
Law of Large Numbers
Law of Large Numbers website In this lesson, students investigate how the relative frequency of an outcome approaches the actual probability of that outcome, as the number of repetitions ...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/law-of-large-numbers
Comparing Distributions
Comparing Distributions website In this lesson, students extend their previous work on describing a single data distribution to comparing several distributions collected from different po...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/comparing-distributions
Sample Means
...e means for a given sample size is close to the mean of the population from which the samples were drawn. What are the students doing? Students investigate the relationship between sample size and the center, shape, and spread of the sampling distribution of sample means. What is the teacher doi...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/sample-means
Scatter Plots
Scatter Plots website In this lesson, students will investigate scatter plots of paired variables. Students practice interpreting points in context and look for overall trends among the d...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/scatter-plots
Transforming Data
Transforming Data website In this lesson, students investigate what happens to the summary measures for the distribution of a set of data when a constant is added to each data element or ...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/transforming-data
Tables and Measures of Center and Spread
...f center and spread for a distribution of data can be determined from data presented in frequency tables. What are the students doing? Students investigate data summarized in frequency tables to determine the mean, median, interquartile range, and MAD for the data. What is the teacher doing? Be s...https://education.ti.com/en/building-concepts/activities/statistics/sequence1/tables-and-measures-of-center-and-spread
Linear Inequalities in One Variable
Linear Inequalities in One Variable website In this lesson students focus on inequalities and methods of solving them, building on the concept of solution- and order-preserving moves in t...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/linear-inequalities-in-one-variable
What is a Variable?
...15 and b=45, what would be the value of the expression b+(a - b)? a 115 b. 185 c. 205 d. 275 Answer: a. 115 Understanding A variable might stand for a range of numbers that can be used in a mathematical expression; a variable might be used in a universal statement that is true for...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/what-is-a-variable
Visualizing Quadratic Expressions
Visualizing Quadratic Expressions website In this lesson students manipulate geometric figures to explore equivalent expressions that can be expressed in the form \(x^2 + bx + c\) where \...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/visualizing-quadratic-expressions
Adding Ratios
... Ratios Planning and Resources Objectives Students should recognize that adding equivalent ratios results in a ratio that is equivalent to the original ratio and that adding non-equivalent ratios results in a ratio that is different from both of the original ratios. Vocabulary proportional r...https://education.ti.com/en/building-concepts/activities/ratios/sequence1/adding-ratios
Equations of the Form ax+by = c
Equations of the Form ax+by = c website In this lesson students investigate linear equations of the form \(ax+by = c\). Students use coordinate grids to explore the “trade off” or “exchan...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/equations-of-the-form-ax-plus-by-equals-c
Comparing Units
Comparing Units website This lesson helps students to understand that the size of a fraction will vary with the scale used to define a unit fraction. 393728 Comparing Units Planning and R...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/comparing-units
Creating Equivalent Fractions - Texas Instruments
Creating Equivalent Fractions Creating Equivalent Fractions Creating Equivalent Fractions - Texas Instruments website In this lesson, students explore how to create equivalent fractions by ...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/creating-equivalent-fractions
Fractions and Unit Squares - Texas Instruments
...arly specify the unit of a fraction in order for it to be interpreted or used with any meaning. What to look for Some of the wording in the problems might need to be adjusted slightly depending on the background of the students. The language of tiling is one possible instance—a region is tiled by...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/fractions-and-unit-squares
What is an Equation?
What is an Equation? website In this lesson students investigate expressions and equations to develop what it means to have a solution to an equation. 398279 What is an Equation? Plannin...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/what-is-an-equation
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
...hot Students can think about the finding the product of two fractions as finding the area; where each multiplier represents the base or the height of a rectangle. What to look for Be sure students understand that the whole number 2 would be represented by shading two of the unit squares a...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/fraction-multiplication
Fractions as Division
Fractions as Division website This lesson connects the concept of obtaining fractions through division; the whole number a divided by the whole number b. 393721 Fractions as Division Pla...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/fractions-as-division
Pre-Calculus & Calculus Case Studies by Texas Instruments - US and Canada
... Pre-Calculus & Calculus Case Studies Impact of Graphing Calculator Ownership in Two Rural High Schools Teacher/Researcher: Kathy Gillespie, Motley County ISD, TX Nancy Trapp, Lyford CISD, TX Location: Title I schools in two small r...https://education.ti.com/en/resources/funding-and-research/research/research_casestudies_calculus
References by Texas Instruments - US and Canada
... teaching: a new stage of technology, new forms of integration, a new type of experimentation. (TR). Lyon, France, Institut National de Recherche Pédagogique. Alexander, C. and W. Stroup (2006). Richardson Math Project Final Report: Math TAKS Results. Austin, TX, University of Texas at Austin. Ar...https://education.ti.com/en/resources/funding-and-research/research/research_bibliography