Moving from Proportional Relationships to Linear Equations
...onsider relationships of the form \(y = mx\) and eventually \(y = mx+b\). 442899 Prop. Relationships to Linear Equations Planning and Resources Objective Students should be able to connect the unit rate in a proportional relationship to the slope of its graph using similar triangles, and co...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/proportional-relationships-to-linear-equations
Adding Fractions with Unlike Denominators
...estigate addition and subtraction of fractions with unlike denominators. 393720 Adding Fractions with Unlike Denominators 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...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/adding-fractions-with-unlike-denominators
Units Other Than a Unit Square
...o understand the importance of the unit by approaching fractions using area models. 393727 Units Other Than a Unit Square Planning and Resources Objectives Students understand that fractions can only be compared if they refer to the same whole. They also recognize that fractions can only be ...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/units-other-than-a-unit-square
Multiplying Fractions by a Whole Number
...son can be used to develop multiplication of a fraction by a whole number. 393722 Multiplying Fractions by a Whole Number 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 multiplicati...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/multiplying-fractions-by-a-whole-number
Mixed Numbers
...active number lines to help students investigate mixed numbers as a way to write improper fractions. 393719 Mixed Numbers Planning and Resources Objectives Students should understand that a proper fraction is a fraction whose numerator is less than the denominator and that an improper fracti...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/mixed-numbers
Equations and Operations
...multiplying, or dividing one or both sides of the original equation by a numerical value. 398116 Equations and Operations Planning and Resources Objectives Students should be able to identify solution-preserving mathematical moves related to equations and moves that do not preserve solutions...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/equations-and-operations
Solving Systems of Equations Algebraically
...gate pathways for solving systems of linear equations algebraically. 448154 Solving Systems of Equations Algebraically Planning and Resources Objectives Students should be able to use algebraic techniques to solve a system of linear equations in two variables, in particular the methods of...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/solving-systems-of-equations-algebraically
Adding and Subtracting Fractions with Like Denominators
... refer to the same whole (i.e. have the same denominator). 393718 Adding and Subtracting Fractions with Like Denominators Planning and Resources Objectives Students should understand and explain that if two fractions represent the same whole and have the same denominator, their sum is repres...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/adding-and-subtracting-fractions-with-like-denominators
What is a Fraction? - Texas Instruments
...tand and visualize a fraction as a number that can be represented as a point on a number line. 393713 What is a Fraction? Planning and Resources Objectives Students should understand that a fraction can be represented as a point on a number line. They use a number line to interpret the follo...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/what-is-a-fraction
Building Expressions in Two Variables
... the purpose of demonstrating expressions of the second and third degree. 439865 Building Expressions in Two Variables Planning and Resources Objectives Students should be able to identify equivalent expressions involving rational numbers and explain why they are equivalent using properti...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/building-expressions-in-two-variables
Equivalent Fractions - Texas Instruments
...fractions are equivalent (or equal) if they are located at the same point on the number line. 393714 Equivalent Fractions Planning and Resources 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...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/equivalent-fractions
Dividing a Fraction by a Whole Number
...lesson uses a unit square to explore division of fractions by whole numbers. 393724 Dividing a Fraction by a Whole Number Planning and Resources Objectives Students understand that dividing a unit fraction by a whole number partitions the unit fraction into the number of pieces determined by...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/dividing-a-fraction-by-a-whole-number
Dividing a Whole Number by a Fraction
...nit squares are used to investigate division of whole numbers by a fraction. 393725 Dividing a Whole Number by a Fraction Planning and Resources Objectives Students understand that the division of a whole number by a unit fraction is the product of the whole number and the denominator of the...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/dividing-a-whole-number-by-a-fraction
Visualizing Linear Expressions
... to make connections between the scenario and the expression(s) that describe it. 448845 Visualizing Linear Expressions Planning and Resources Objectives Students should be able to find equivalent expressions using the distributive property and interpret visual representations of the distr...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/visualizing-linear-expressions
AP® Calculus | BC1 2020 Module | Texas Instruments
... 2020 AP® Calculus BC1 Solutions, Concepts and Scoring Guidelines: Parts A–B Free-response question BC1 involves a graphical stem, and the problems discussed in this video involve critical points, the First Derivative Test, concavity and inflection points. Watch Video ...https://education.ti.com/en/resources/ap-calculus/area-volume/sequence4/2020-bc1
AP® Calculus | AB2 2022 Module | Texas Instruments
...exas Instruments apcalculus website This problem presents graphs of the functions f and g and asks for: the area of the region enclosed by the graphs, an interpretation of whether the vertic...https://education.ti.com/en/resources/ap-calculus/area-volume/sequence6/2022-ab2
AP® Calculus | AB1 2020 Module | Texas Instruments
... 2020 AP® Calculus AB1 Solutions, Concepts and Scoring Guidelines: Parts A–B Free-response question AB1 involves a graphical stem, and the problems discussed in this video involve critical points, the Fundamental Theorem of Calculus and the First Derivative Test. Watch Video ...https://education.ti.com/en/resources/ap-calculus/fundamental-theorem-of-calculus/sequence4/2020-ab1
AP® Calculus | AB2 2021 Module | Texas Instruments
...icle motion along a coordinate axis (rectilinear motion): Given the velocities and initial positions of two particles moving along the x-axis, this problem asks for positions of the particles and directions of movement of the particles at a later time, as well as calculations of the acceleration ...https://education.ti.com/en/resources/ap-calculus/position-velocity-acceleration/sequence5/2021-ab2
AP® Calculus | BC2 2021 Module | Texas Instruments
... Particle motion in the coordinate plane: Given the vector-valued velocity and initial position of a particle moving in the coordinate plane, this problem asks for calculations of speed and the acceleration vector at a given time, the total distance traveled over a given time interval, and the c...https://education.ti.com/en/resources/ap-calculus/position-velocity-acceleration/sequence5/2021-bc2
Module 09 - Natural Exponential y=e^x
...al parent function and transformations of the exponential function. Go to resource library Exponential base ey=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...https://education.ti.com/en/resources/family-of-functions/m09
Module 10 - Natural log y=ln(x)
...natural log parent function and transformations of the natural log function. Go to resource library Natural logy=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...https://education.ti.com/en/resources/family-of-functions/m10
Module 11 - Semi-circle y=sqrt(r^2-x^2)
...semicircle parent function and transformations of the semicircle function. Go to resource library Semicircley=√(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...https://education.ti.com/en/resources/family-of-functions/m11
Module 12 - Greatest integer y=[x]
...ger parent function and transformations of the greatest integer function. Go to resource library Greatest integery=[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...https://education.ti.com/en/resources/family-of-functions/m12
Module 07 - Exponential growth y=2^x
...al parent function and transformations of the exponential function. Go to resource library Exponential base 2y=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...https://education.ti.com/en/resources/family-of-functions/m07
Module 08 - Exponential decay y=(1/2)^x
... function and transformations of the exponential function. Go to resource library Exponential base 1/2y=(½)ͯ 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...https://education.ti.com/en/resources/family-of-functions/m08