AP® Calculus | BC2 2020 Module | Texas Instruments
... 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 solutions available using your graphing calculator. ...https://education.ti.com/en/resources/ap-calculus/taylor-polynomials-power-series/sequence4/2020-bc2
Extending Exponents
...xponents extend naturally to integer exponents. 439869 Extending Exponents Planning and Resources Objectives Students should be able to extend properties of postive integer exponents to all integer exponents, apply properties of exponents to express numbers in scientific notation, and interp...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/extending-exponents
Dividing a Fraction by a Fraction
Dividing a Fraction by a Fraction website This lesson can be used to develop an understanding of dividing a fraction (a/b) by the fraction (c/d). 393726 Dividing a Fraction by a Fraction ...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/dividing-a-fraction-by-a-fraction
Solving Equations
Solving Equations website In this lesson students draw upon tools learned in previous work and focus on making strategic choices in solving linear equations. 439874 Solving Equations P...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/solving-equations
Building Expressions
...ilding Expressions 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 devel...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/building-expressions
Texas Instruments Guidelines for Research
...n Educational Research Association Assurance of data privacy is controlled by the U.S. Federal Educational Rights and Privacy Act (FERPA), the European Directive on the protection of personal data and countries' data privacy regulations, and the regulation of the researcher's Institutiona...https://education.ti.com/en/resources/funding-and-research/research/research-ethics
research-program
...Texas Instruments uses extensive research to help improve mathematics and science education. For more than 20 years, researchers in North America, Europe and Asia have contributed to substantial research on the use of handheld graphing technology and classroom networks to transform mathematics an...https://education.ti.com/en/resources/funding-and-research/research/research-program
What's a Solution to a System of Equations?
...dentify 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 In this lesson students are introduced to a system of linear equation...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/what-is-a-solution-to-a-system-of-equations
Visualizing Systems of Linear Equations
...day? a. 4 b. 5 c. 6 d. 7 Answer: d Understanding A sense of the relationship among variables under different constraints can be developed in the context of mobiles. What are the students doing? Students reason about the values of weights on mobiles and use balance to model s...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/visualizing-systems-of-linear-equations
Units Other Than a Unit Square
...or Students should reflect on what they know about equivalent fractions, comparing fractions, and adding and subtracting fractions, noting that these operations only make sense if the fractions represent the same whole. Sample Assessment A box of granola bars contains 18 bars. How many bars will ...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/units-other-than-a-unit-square
Multiplying Fractions by a Whole Number
Multiplying Fractions by a Whole Number website This lesson can be used to develop multiplication of a fraction by a whole number. 393722 Multiplying Fractions by a Whole Number Planning...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/multiplying-fractions-by-a-whole-number
Mixed Numbers
Mixed Numbers website This lesson uses interactive number lines to help students investigate mixed numbers as a way to write improper fractions. 393719 Mixed Numbers Planning and Resourc...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/mixed-numbers
Solving Systems of Equations Algebraically
... of adult tickets and total number of child tickets that she buys? Answer: 10 adult tickets and 4 child tickets. Understanding Develop linear combinations of two quantities and investigate what happens when a constraint is imposed on the linear combination \(ax+by\) for a given ...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/solving-systems-of-equations-algebraically
Using Structure to Solve Equations
...is lesson students reason about the structure of expressions on either side of an equation as a way to relate the equation to the order of arithmetic operations and use this method to solve equations. 419515 Using Structure to Solve Equations Planning and Resources Objectives Students should...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/using-structure-to-solve-equations
Adding and Subtracting Fractions with Like Denominators
... 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 lesson uses interactive number lines to investigate addition and subtraction of fractions that refer to the ...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/adding-and-subtracting-fractions-with-like-denominators
What is a Fraction? - Texas Instruments
...s should understand that a fraction can be represented as a point on a number line. They use a number line to interpret the following: 1. (a/b) is a copies of (1/b) 2. (a*n/n) is a fraction 3. (0/n) is equal to 0 Vocabulary fraction numerator denominator unit fraction This lesson help...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/what-is-a-fraction
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
Equivalent Fractions - Texas Instruments
...ationships between two fractions using the symbols and justify the conclusions by using a visual fraction model. Vocabulary equivalent fractions improper fractions This lesson helps students understand that two fractions are equivalent (or equal) if they are located at the same poin...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/equivalent-fractions
Dividing a Fraction by a Whole Number
...eir interpretation both of the unit square and of the mathematical question. Sample Assessment (3/4) of a package of pens is to be shared among six people. a. How much of the whole package does each person get? Answer: Each person will get (3/24) or (1/8) of the package. b. If each package has ...https://education.ti.com/en/building-concepts/activities/fractions/sequence-1/dividing-a-fraction-by-a-whole-number
Visualizing Linear Expressions
Visualizing Linear Expressions website In this lesson students will use the distributive property to rewrite expressions for a given context in order to make connections between the scena...https://education.ti.com/en/building-concepts/activities/expressions/sequence1/visualizing-linear-expressions
Research on the TI MathForward™ Program - Richardson, TX ISD
...erence: (Winick and Lewis 2006; Winick and Lewis 2007) Year 2: Jr. High program expansion showed: Growth in teacher knowledge of number and operations was positively associated with the TAKS performance of their students. Teacher self-reports of confidence improved. Teacher self...https://education.ti.com/en/resources/funding-and-research/research/research_mathforward
research-notes
...n prepared by the Center for Technology in Learning of SRI International, Inc. (1) What are the benefits of graphing calculators for students in developmental mathematics courses at the postsecondary level? Existing research suggests that integration of graphing calculators can improve student co...https://education.ti.com/en/resources/funding-and-research/research/research-notes
Standards
...TM's publication, Principles and Standards for School Mathematics. Learn More National Council of Teachers of Mathematics The NSTA has developed standards for science teacher preparation. Requires Adobe Acrobat Reader® Learn More National Science Teachers Association The NAEP ...https://education.ti.com/en/resources/funding-and-research/standards
Polar-and-Parametric
...ationships between two fractions using the symbols and justify the conclusions by using a visual fraction model. Vocabulary equivalent fractions improper fractions Two Columns Container Column 1 Column 2 This video presents typical scoring guidelines, solutions...https://education.ti.com/en/resources/ap-calculus/polar-and-parametric
AP® Calculus | BC2 2019 Module | Texas Instruments
... 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 solutions available using your graphing calculator. ...https://education.ti.com/en/resources/ap-calculus/polar-and-parametric/sequence3/2019-bc2