CK-12's Texas Instruments Algebra I Student Edition Flexbook allows students to better …

CK-12's Texas Instruments Algebra I Student Edition Flexbook allows students to better utilize a graphing calculator in understanding the fundamental concepts of algebra.

CK-12 Foundation's Algebra FlexBook is an introduction to algebraic concepts for the …

CK-12 Foundation's Algebra FlexBook is an introduction to algebraic concepts for the high school student. Topics include: Equations & Functions, Real Numbers, Equations of Lines, Solving Systems of Equations & Quadratic Equations.

CK-12 Foundation's Algebra FlexBook is an introduction to algebraic concepts for the …

CK-12 Foundation's Algebra FlexBook is an introduction to algebraic concepts for the high school student. Topics include: Equations & Functions, Real Numbers, Equations of Lines, Solving Systems of Equations & Quadratic Equations.

The purpose of this task is to solidify and extend the idea …

The purpose of this task is to solidify and extend the idea that geometric sequences have a constant ratio between consecutive terms to include sequences that are decreasing (0 < r < 1). The common ratio in one geometric sequence is a whole number and in the other sequence it is a percent. This task contains an opportunity to compare the growth of arithmetic and geometric sequences. This task also provides practice in writing and using formulas for arithmetic sequences.

This lesson unit is intended to help teachers assess how well students …

This lesson unit is intended to help teachers assess how well students are able to interpret exponential and linear functions and in particular to identify and help students who have the following difficulties: translating between descriptive, algebraic and tabular data, and graphical representation of the functions; recognizing how, and why, a quantity changes per unit intervale; and to achieve these goals students work on simple and compound interest problems.

This task builds upon students’ experiences with arithmetic and geometric sequences to …

This task builds upon students’ experiences with arithmetic and geometric sequences to extend to the broader class of linear and exponential functions with continuous domains. The term “domain” should be introduced and used throughout the whole group discussion. Students are given contextual situations that can be modeled with either discrete and continuous linear functions, or discrete and continuous exponential functions. They are also asked to compare these types of functions using various representations.

Google Sheets platform for small groups of students to record/share their discussions …

Google Sheets platform for small groups of students to record/share their discussions as they evolve their understanding of any topic, along with a Google Slides slideshow that teaches how to use the Google Sheets Group Discussion Form while small groups of students explore/discover how to generate each next row of Pascal's Triangle.

This task is to solidify understanding that geometric sequences have a constant …

This task is to solidify understanding that geometric sequences have a constant ratio between consecutive terms. The task is designed to generate tables, graphs, and both recursive and explicit formulas. The focus of the task should be to identify how the constant ratio shows up in each of the representations.

This lesson unit is intended to help teachers assess how well students …

This lesson unit is intended to help teachers assess how well students are able to: use the Pythagorean theorem to derive the equation of a circle; and translate between the geometric features of circles and their equations.

Lesson plan using a Cyberchase activity, students are introduced to a problem …

Lesson plan using a Cyberchase activity, students are introduced to a problem that gives them a sense of how quickly exponential growth accrues in the classic problem about a chess board and grains of rice. The context is extended to consider applications using money growth and chain letters. They are introduced to the algebraic representation for exponential growth.

Sample Learning Goals Define a function as a rule relating each input …

Sample Learning Goals Define a function as a rule relating each input to exactly one output and predictably acting on inputs Predict outputs of a function using given inputs Compose functions to create a new function Determine which functions are geometric transformations

Sample Learning Goals Define a function as a rule relating each input …

Sample Learning Goals Define a function as a rule relating each input to exactly one output and predictably acting on inputs Predict outputs of a function using given inputs Compose functions to create a new function Interpret, compare, and translate between multiple representations of an algebraic function

The purpose of this task is to develop representations for arithmetic sequences …

The purpose of this task is to develop representations for arithmetic sequences that students can draw upon throughout the module. The visual representation in the task should evoke lists of numbers, tables, graphs, and equations. Various student methods for counting and considering the growth of the dots will be represented by equivalent expressions that can be directly connected to the visual representation.

The purpose of this task is to develop representations for geometric sequences …

The purpose of this task is to develop representations for geometric sequences that students can draw upon throughout the module. The visual representation in the task should evoke lists of numbers, tables, graphs, and equations. Various student methods for counting and considering the growth of the dots will be represented by equivalent expressions that can be directly connected to the visual representation.

Students must determine how much water might a dripping faucet waste in …

Students must determine how much water might a dripping faucet waste in a year. This task asks students to select and apply mathematical content from across the grades, including the content standards.

Students will draw on their foundation of the analogies between polynomial arithmetic …

Students will draw on their foundation of the analogies between polynomial arithmetic and base-ten computation, focusing on properties of operations, particularly the distributive property. Students identify and make connections between zeros of polynomials and solutions of polynomial equations.

The purpose of this task is for students to combine functions, make …

The purpose of this task is for students to combine functions, make sense of function notation, and connect multiple representations (context, equations, and graphs). Students will also address features of functions as they solve problems that arise from this context.

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