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Fractions and Unit Squares - Texas Instruments

Fractions and Unit Squares Fractions and Unit Squares Fractions and Unit Squares - Texas Instruments website This lesson uses a dynamic geoboard to extend the concept of fraction to unit s...
https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/fractions-and-unit-squares

What is an Equation?

...279 What is an Equation? Planning and Resources Objectives Students should be able to distinguish between an expression and an equation.  They recognize that solutions to an equation are the replacement values for the variable that make the equation true. Vocabulary expression equation varia...
https://education.ti.com/en/building-concepts/activities/expressions/sequence1/what-is-an-equation

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

... Working with a table of parametric velocity values: Given a table of derivative values for one parametric coordinate and an algebraic expression for the other parametric coordinate, students calculate and approximate associate values, interpreting them ...
https://education.ti.com/en/resources/ap-calculus/taylor-polynomials-power-series/sequence4/2020-bc2

Ratios & Proportions

... Students use double number lines to solve questions that involve finding a value for x when a:b is equivalent to c:x. What to look for At this level, students are investigating informal but useful strategies for solving problems involving proportions. Moving to the formal equation can lead...
https://education.ti.com/en/building-concepts/activities/ratios

Solving Equations

... Objectives Students should be able to solve a linear equation of the form \(ax+b = cx+d\) and interpret the solution in terms of the equation or context as well as recognize when one solution strategy might be more efficient than another Vocabulary linear equation solution identity ...
https://education.ti.com/en/building-concepts/activities/expressions/sequence1/solving-equations

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

Visualizing Systems of Linear Equations

...ing numbers that make the mobile unbalanced and in which direction. Sample Assessment "A store sells white scarves and red scarves. A white scarf costs $3 and a red scarf costs $5. On Monday, the store sold 12 scarves for a total of $50. What is the total number of red scarves that the store ...
https://education.ti.com/en/building-concepts/activities/expressions/sequence1/visualizing-systems-of-linear-equations

Units Other Than a Unit Square

...ctions 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 added or subtracted if they refer to the same whole. Vocab...
https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/units-other-than-a-unit-square

Equations and Operations

...t structure to find a solution. What to look for Be sure students explicitly state what x represents in in the previous two questions. One example of confusion might be in the question above where x could represent the number of brownies Steve got or the total number of brownies his team made. Sa...
https://education.ti.com/en/building-concepts/activities/expressions/sequence1/equations-and-operations

Solving Systems of Equations Algebraically

...e solved and used for substitution back into the system. What to look for Students are gaining flexibility in solving systems of equations and recognizing patterns that indicate which method is most efficient for a given system. Sample Assessment Mary is buying tickets for a movie. ...
https://education.ti.com/en/building-concepts/activities/expressions/sequence1/solving-systems-of-equations-algebraically

Using Structure to Solve Equations

...and use this method to solve equations. 419515 Using Structure to Solve Equations Planning and Resources Objectives Students should be able to recognize linear equations whose structure is of a(__) = y or a + (__) = y as looking for a missing factor or addend respectively and use arithmetic ...
https://education.ti.com/en/building-concepts/activities/expressions/sequence1/using-structure-to-solve-equations

AP® Calculus | BC2 2019 Module | Texas Instruments

...e added by creating equivalent fractions that have the same denominator, then use the process for adding fractions with like denominators. Vocabulary congruent common factor Polar regions: A polar curve problem involving areas enclosed by the curve as well as subregions defined by i...
https://education.ti.com/en/resources/ap-calculus/polar-and-parametric/sequence3/2019-bc2

AP® Calculus | BC5 2018 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 so...
https://education.ti.com/en/resources/ap-calculus/polar-and-parametric/sequence2/2018-bc5

AP® Calculus | BC2 2017 Module | Texas Instruments

...e added by creating equivalent fractions that have the same denominator, then use the process for adding fractions with like denominators. Vocabulary congruent common factor This problem involves polar curves, area, distance and average value. Go to resource library 393720 BC2 Pla...
https://education.ti.com/en/resources/ap-calculus/polar-and-parametric/sequence1/2017-bc2

AP® Calculus | BC1 2020 Module | Texas Instruments

...ative: Given the graph of a function’s derivative, along with some initial values, students analyze limits, derivatives and integrals. They will also compute the perimeter, area and volume associated with a given region bounded by the graph. Go to resource library BC1 Planning and Resources ...
https://education.ti.com/en/resources/ap-calculus/area-volume/sequence4/2020-bc1

AP® Calculus | AB2 2022 Module | Texas Instruments

...dents 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 fraction model. Vocabu...
https://education.ti.com/en/resources/ap-calculus/area-volume/sequence6/2022-ab2

TI STEM Exchange | Understanding Students’ Ways of Thinking in Mathematics | March 2022

...tors in getting deeper into the underlying, cross-grade level concepts that are crucial for student learning of mathematics. With intentional probing questions tied to a rich mathematical task, teachers can uncover students’ current thinking about these important mathematical ideas, and use what ...
https://education.ti.com/en/resources/ti-stem-exchange/march2022-event

AP® Calculus | AB1 2020 Module | Texas Instruments

... Working with a piecewise (line and circle segments) presented function: Given a function whose graph is made up of connected line segments and pieces of circles, students apply the Fundamental Theorem of Calculus to analyze a function defined by a definite integ...
https://education.ti.com/en/resources/ap-calculus/fundamental-theorem-of-calculus/sequence4/2020-ab1

AP® Calculus | AB3/BC3 2017 Module | Texas Instruments

...ives Students understand that 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 prob...
https://education.ti.com/en/resources/ap-calculus/fundamental-theorem-of-calculus/sequence1/2017-ab3-bc3

AP® Calculus | BC5 2019 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 so...
https://education.ti.com/en/resources/ap-calculus/series-and-improper-integrals/sequence3/2019-bc5

AP® Calculus | AB1/BC1 2019 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 so...
https://education.ti.com/en/resources/ap-calculus/applications-approximations-of-definite-integrals/sequence3/2019-ab1-bc1

AP® Calculus | AB4/BC4 2019 Module | Texas Instruments

... of AP® Calculus Module Rain barrel: A cylindrical barrel collects rainwater, with questions relating the rates of the water height and volume, and a separable differential equation to solve explicitly for...
https://education.ti.com/en/resources/ap-calculus/differential-equations/sequence3/2019-ab4-bc4

AP® Calculus | AB5 2017 Module | Texas Instruments

... denominator, their sum is represented by joining end to end the segment of length for one fraction to the segment of the length represented by the second. Vocabulary properties of addition This particle motion problem includes questions about speed, position and time at which both p...
https://education.ti.com/en/resources/ap-calculus/position-velocity-acceleration/sequence1/2017-ab5

AP® Calculus | AB2 2021 Module | Texas Instruments

... apcalculus website Particle 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 po...
https://education.ti.com/en/resources/ap-calculus/position-velocity-acceleration/sequence5/2021-ab2