AP® Calculus | AB3/BC3 2017 Module | Texas Instruments
... a fraction (1/b) is one part of a unit square that has been partitioned into b equal regions. The fraction (a/b) is a copies of (1/b) on both a number line and in a unit square. Vocabulary tiling unit square Given the graph of a derivative, this problem involves the analysis of ...https://education.ti.com/en/resources/ap-calculus/fundamental-theorem-of-calculus/sequence1/2017-ab3-bc3
Python coding activities: Operating on Lists | Texas Instruments
...d again. As we saw earlier, when we’re doing the same thing again and again, this is a great opportunity to use a loop to simplify our code. Let’s embed a For loop around our input statement to see if we can iterate through this command for the five array elements we want to gather and store. ...https://education.ti.com/en/resources/computer-science-foundations/operating-on-lists
Python coding activities: Recursion | Texas Instruments
...l, but can you see the light of the base case?) A method call of f(-1) returns 2 — wahoo! No more recursive calls! We’ve reached the base case. Our combined notations so far might look like this: f(5) = 5 + f(3) f(3) = 3 + f(1) f(1) = 1 + f(-1) f(-1) = 2 Don’t forget, though, that we’re not done!...https://education.ti.com/en/resources/computer-science-foundations/recursion
AP® Calculus | BC6 2017 Module | Texas Instruments
...ing series error bound. Go to resource library 393722 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 This is a traditional series question that in...https://education.ti.com/en/resources/ap-calculus/series-and-improper-integrals/sequence1/2017-bc6
AP® Calculus | BC5 2019 Module | Texas Instruments
...parameter, k, in the denominator. Go to resource library BC5 Planning and Resources Objectives Students understand that dividing the whole number a by another whole number b can be represented as (a/b). Vocabulary divisor dividend of AP® Calculus Module Rational ...https://education.ti.com/en/resources/ap-calculus/series-and-improper-integrals/sequence3/2019-bc5
AP® Calculus | BC6 2018 Module | Texas Instruments
...alternating series bound. Go to resource library 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 A power series question: Given the Maclaurin ...https://education.ti.com/en/resources/ap-calculus/taylor-polynomials-power-series/sequence2/2018-bc-6
Biographies | TI STEM Exchange | Understanding Students’ Ways of Thinking in Mathematics | March 2022
...mplementation of the state science standards based on “Framework for K–12 Science Education” (NRC, 2012). In his previous work, McLaren served in a number of roles in the area of science education policy, including Director of the State and District Support for Science at Achieve, Inc., and Scien...https://education.ti.com/en/resources/ti-stem-exchange/march2022-event/panel-biographies
Function-Graphical-Analysis
...problem involves vehicles arriving at a toll plaza at a given rate (in vehicles per hour), and asks for: a definite integral representing the total number of vehicles arriving over a time interval, the average rate over that same time interval, and an interpretation of whether that rate is increa...https://education.ti.com/en/resources/ap-calculus/function-graphical-analysis
Position-Velocity-Acceleration
...problem involves vehicles arriving at a toll plaza at a given rate (in vehicles per hour), and asks for: a definite integral representing the total number of vehicles arriving over a time interval, the average rate over that same time interval, and an interpretation of whether that rate is increa...https://education.ti.com/en/resources/ap-calculus/position-velocity-acceleration
AP® Calculus | AB6 2017 Module | Texas Instruments
...n improper fraction is any fraction whose numerator is equal to or greater than the denominator. Vocabulary improper fraction proper fraction mixed number This problem involves basic differentiation formulas and the Mean Value Theorem associated with functions defined by a table and ...https://education.ti.com/en/resources/ap-calculus/function-graphical-analysis/sequence1/2017-ab6
AP® Calculus | AB6 2019 Module | Texas Instruments
...n improper fraction is any fraction whose numerator is equal to or greater than the denominator. Vocabulary improper fraction proper fraction mixed number of AP® Calculus Module Take it to the limit: Two twice-differentiable functions share a tangent line. Questions on l...https://education.ti.com/en/resources/ap-calculus/function-graphical-analysis/sequence3/2019-ab6
AP® Calculus | AB2 2021 Module | Texas Instruments
...s Objectives Students should understand and explain that two fractions are equivalent (equal) if they are the same size or the same point on a number line. They can compare and express the relationships between two fractions using the symbols and justify the conclusions by using a visual f...https://education.ti.com/en/resources/ap-calculus/position-velocity-acceleration/sequence5/2021-ab2
AP® Calculus | BC2 2021 Module | Texas Instruments
...ry BC2 Planning and Resources Objectives Students should understand that when adding fractions, the fractions are marked off end to end on a number line. If the denominators are different, the fractions can be added by creating equivalent fractions that have the same denominator, then use ...https://education.ti.com/en/resources/ap-calculus/position-velocity-acceleration/sequence5/2021-bc2
Module 09 - Natural Exponential y=e^x
...eͯ Planning and Resources Objectives Students should understand that when adding fractions, the fractions are marked off end to end on a number line. If the denominators are different, the fractions can be added by creating equivalent fractions that have the same denominator, then use ...https://education.ti.com/en/resources/family-of-functions/m09
Module 10 - Natural log y=ln(x)
...y=ln(x) Planning and Resources Objectives Students should understand that when adding fractions, the fractions are marked off end to end on a number line. If the denominators are different, the fractions can be added by creating equivalent fractions that have the same denominator, then use ...https://education.ti.com/en/resources/family-of-functions/m10
AP® Calculus | AB2 2018 Module | Texas Instruments
...s Objectives Students should understand and explain that two fractions are equivalent (equal) if they are the same size or the same point on a number line. They can compare and express the relationships between two fractions using the symbols and justify the conclusions by using a visual f...https://education.ti.com/en/resources/ap-calculus/position-velocity-acceleration/sequence2/2018-ab2
Module 11 - Semi-circle y=sqrt(r^2-x^2)
...(r2-x2) Planning and Resources Objectives Students should understand that when adding fractions, the fractions are marked off end to end on a number line. If the denominators are different, the fractions can be added by creating equivalent fractions that have the same denominator, then use ...https://education.ti.com/en/resources/family-of-functions/m11
Module 12 - Greatest integer y=[x]
...ery=[x] Planning and Resources Objectives Students should understand that when adding fractions, the fractions are marked off end to end on a number line. If the denominators are different, the fractions can be added by creating equivalent fractions that have the same denominator, then use ...https://education.ti.com/en/resources/family-of-functions/m12
Module 07 - Exponential growth y=2^x
...2ͯ Planning and Resources Objectives Students should understand that when adding fractions, the fractions are marked off end to end on a number line. If the denominators are different, the fractions can be added by creating equivalent fractions that have the same denominator, then use ...https://education.ti.com/en/resources/family-of-functions/m07
AP® Calculus | AB2 2019 Module | Texas Instruments
...s Objectives Students should understand and explain that two fractions are equivalent (equal) if they are the same size or the same point on a number line. They can compare and express the relationships between two fractions using the symbols and justify the conclusions by using a visual f...https://education.ti.com/en/resources/ap-calculus/position-velocity-acceleration/sequence3/2019-ab2
Module 08 - Exponential decay y=(1/2)^x
...)ͯ Planning and Resources Objectives Students should understand that when adding fractions, the fractions are marked off end to end on a number line. If the denominators are different, the fractions can be added by creating equivalent fractions that have the same denominator, then use ...https://education.ti.com/en/resources/family-of-functions/m08
Module 13: Piecewise f(x)
...isef(x) Planning and Resources Objectives Students should understand that when adding fractions, the fractions are marked off end to end on a number line. If the denominators are different, the fractions can be added by creating equivalent fractions that have the same denominator, then use ...https://education.ti.com/en/resources/family-of-functions/m13
Module 15 - Cosine y=cos(x)
...=cos(x) Planning and Resources Objectives Students should understand that when adding fractions, the fractions are marked off end to end on a number line. If the denominators are different, the fractions can be added by creating equivalent fractions that have the same denominator, then use ...https://education.ti.com/en/resources/family-of-functions/m15
AP® Calculus | AB2 2020 Module | Texas Instruments
...s Objectives Students should understand and explain that two fractions are equivalent (equal) if they are the same size or the same point on a number line. They can compare and express the relationships between two fractions using the symbols and justify the conclusions by using a visual f...https://education.ti.com/en/resources/ap-calculus/position-velocity-acceleration/sequence4/2020-ab2
Module 03 - Squareroot y=√x
How to graph the square root parent function and transformations of the square root function. Module 03 - Squareroot y=√x family-of-functions website How to graph the square root parent function and tr...https://education.ti.com/en/resources/family-of-functions/m03