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Fractions as Division

...ass work together to find the solutions using the interactive number lines. Sample Assessment If 3 granola bars are to be shared among 4 students how much will each student get? a. (1/4) of a granola bar b. 1 (1/3) of a granola bar c. (3/4) of a granola bar d. (1/2) of a granola bar Answer: c Un...
https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/fractions-as-division

TI-Innovator™ Activities - Science Olympiad Detector Building | TI

...ollect data. The program students write will cause various LEDs to turn on or off based on the temperature readings. During the competition, students must adjust their code and calibration equation to closely match that of a store-bought digital thermometer.--> Students will need to know how to ...
https://education.ti.com/en/resources/stem/projects/detector-building-event

Research on TI-Navigator™ System

...gebra teaching improves achievement an average of 14% more. Classroom Connectivity in Mathematics and Science In the first year of a large-scale, multi-state experimental study of the effects of TI-Navigator use in Algebra 1, the treatment group outperformed the control group in algebra perfo...
https://education.ti.com/en/resources/funding-and-research/research/research_navigator

AP® Calculus | AB3/BC3 2019 Module | Texas Instruments

...ircle arc), questions require evaluating derivatives and definite integrals using the graph. Fundamental Theorem of Calculus is used to find the maximum of a related function g. Go to resource library 393715 AB3/BC3 Planning and Resources- Objectives Students understand that a fraction ...
https://education.ti.com/en/resources/ap-calculus/fundamental-theorem-of-calculus/sequence3/2019-ab3-bc3

BC

...terval, and an interpretation of whether that rate is increasing or decreasing at a particular time. Given a condition under which vehicles would accumulate in line, the problem also asks for the greatest number of vehicles in line at any time. Go to resource library AB1/BC1 Planning and Resou...
https://education.ti.com/en/resources/ap-calculus/series-and-improper-integrals

Python coding: Do While Loops | Texas Instruments

...d to randomly calculate before we got two in a row that were the same. This is a great place to make some predictions: What do you think the minimum value of c will be? What does this represent in this context? What do you think the maximum value will be? What does it represent in this c...
https://education.ti.com/en/resources/computer-science-foundations/do-while-loops

Python coding activities: Programming With Lists | Texas Instruments

...ed two additional ways to add elements to the end of an array (other than .append() that we used earlier): mylist=mylist+[8,3] — Here we combine multiple arrays using the + operator mylist+=[‘apple’,1] — Here we add on to the element of a list using the += shorthand, incrementing operato...
https://education.ti.com/en/resources/computer-science-foundations/programming-with-lists

AB

...terval, and an interpretation of whether that rate is increasing or decreasing at a particular time. Given a condition under which vehicles would accumulate in line, the problem also asks for the greatest number of vehicles in line at any time. Go to resource library AB1/BC1 Planning and Resou...
https://education.ti.com/en/resources/ap-calculus/taylor-polynomials-power-series

AP® Calculus | BC6 2019 Module | Texas Instruments

... 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 a ...
https://education.ti.com/en/resources/ap-calculus/taylor-polynomials-power-series/sequence3/2019-bc6

AP® Calculus | BC2 2020 Module | Texas Instruments

...lar form (vertical velocity values at selected times given in a table) and algebraically (horizontal velocity values given by an explicit function formula). Euler’s Method is illustrated using the spreadsheet, and the scatterplot graphing is used to approximate the path of the particle. Watch Vi...
https://education.ti.com/en/resources/ap-calculus/taylor-polynomials-power-series/sequence4/2020-bc2

Ratios & Proportions

...se it to compare amounts in given different ratios. What to look for As students explore unit rates, remind them that to find equivalent ratios, they must multiply or divide both terms of the ratio by the same positive number. Sample Assessment It took 7 hours to mow 4 lawns, each with about the ...
https://education.ti.com/en/building-concepts/activities/ratios

Extending Exponents

... integer exponents. What to look for Common misconceptions include not understanding which element in the expression is the base of the exponent, multiplying the exponent and the base, reversing the role of the base and the exponent, and assuming a negative exponent changes the sign of the ba...
https://education.ti.com/en/building-concepts/activities/expressions/sequence1/extending-exponents

Building a Table of Ratios

Building a Table of Ratios website Students generate equivalent ratios in a table, where values in each row of the table are a multiple of the values in the original ratio and that the en...
https://education.ti.com/en/building-concepts/activities/ratios/sequence1/building-a-table-of-ratios

Dividing a Fraction by a Fraction

...ivision of fractions, in particular that division of a by b can be thought of a’s the number of b’s contained in a. They use the relationship between multiplication and division to explain that a division problem can be rewritten as a multiplication problem. Vocabulary identity element of multipl...
https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/dividing-a-fraction-by-a-fraction

Building Expressions

...ssions Planning and Resources Objectives Students should identify equivalent expressions and explain why they are equivalent using properties of multiplication and addition. They use a variety of strategies, including rewriting an expression and properties of operations, to develop equivalen...
https://education.ti.com/en/building-concepts/activities/expressions/sequence1/building-expressions

Texas Instruments Guidelines for Research

Texas Instruments Guidelines for Research global website Guidelines for Research Policies for Independence and Integrity of Research The key provisions of TI's policies include: TI adheres to the r...
https://education.ti.com/en/resources/funding-and-research/research/research-ethics

What's a Solution to a System of Equations?

...r system correctly. \(6x+3y=6\) \(y=2x+2\) These are the last two steps of his work \(6x-6x+6=6\) \(6=6\) Which statements about this linear system must be true? a. \(x\) must equal 6 b. \(y\) must equal 6 c. There is no solution to this system d. There are infinitely many solutions to this...
https://education.ti.com/en/building-concepts/activities/expressions/sequence1/what-is-a-solution-to-a-system-of-equations

Visualizing Systems of Linear Equations

...olving systems of 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 which direction. Sample Assessment "A s...
https://education.ti.com/en/building-concepts/activities/expressions/sequence1/visualizing-systems-of-linear-equations

Moving from Proportional Relationships to Linear Equations

... \(y = 3x-1\)      b. \(y = \frac{x}{2}+4\) c. \(y = 2x+2\)      d. \(y = \frac{x}{3}-3\) Answer: a Understanding Any sequence of multiplications may be calculated in any order and the numbers may be grouped together any way. What are students doing? They explore different...
https://education.ti.com/en/building-concepts/activities/expressions/sequence1/proportional-relationships-to-linear-equations

Adding Fractions with Unlike Denominators

...the file. Sample Assessment If one part of a recipe calls for  (2/3) cup of milk and another part of the same recipe calls for (3/4) cup of milk, how much milk do you need all together for the recipe?  Answer:  (17/12) cups. Understanding Fractions with unlike denominators need to be re...
https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/adding-fractions-with-unlike-denominators

Equations and Operations

Equations and Operations website In this lesson students investigate the relationship between the solution to an equation and the solution to a new equation formed by adding, subtracting,...
https://education.ti.com/en/building-concepts/activities/expressions/sequence1/equations-and-operations

Building Expressions in Two Variables

Building Expressions in Two Variables website In this lesson students gain more practice creating equivalent expressions using the properties of multiplication and addition. Students are ...
https://education.ti.com/en/building-concepts/activities/expressions/sequence1/building-expressions-in-two-variables

Dividing a Fraction by a Whole Number

... Lesson Snapshot To divide (a/b) by a whole number c, students can consider dividing the unit fraction (1/b) into c parts, then multiplying that number by a. What to look for Asking students how the representation of the unit square is connected to the process of dividing by...
https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/dividing-a-fraction-by-a-whole-number

Visualizing Linear Expressions

... TNS Lesson Snapshot Students develop an understanding of how the distributive property connects the operation of multiplication to the operation of addition. What to look for Students can use the distributive property to write equivalent expressions invol...
https://education.ti.com/en/building-concepts/activities/expressions/sequence1/visualizing-linear-expressions

Research on the TI MathForward™ Program - Richardson, TX ISD

...007-8, there was evidence of improved teaching practice. Winick and Lewis LLP Based on teacher surveys and measures of teacher math knowledge, cumulated across all districts: There was evidence of a positive association between teacher math content knowledge and student performance on stat...
https://education.ti.com/en/resources/funding-and-research/research/research_mathforward