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A.REI.C.7

30 Results Found

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8th Grade Math

Students make several advances in their algebraic reasoning as they solve systems of linear equations, use functions to describe relationships, and analyze two- and three-dimensional figures.

Algebra 1

Students explore linear, quadratic, and exponential functions, and develop a deep understanding of the features of each function—graphically and algebraically—as they create models and analyze situations.

Geometry

Students further their understanding of geometric relationships and learn to make formal mathematical arguments about geometric situations, with a heavy emphasis on transformations and proofs.

Algebra 2

Students develop their conceptual understanding, fluency, and ability to apply advanced functions, draw connections between function types, and build functions that model contextual situations.

9th Grade - Functions, Graphs and Features

Students are introduced to the main features of functions that they will learn throughout the year, providing students with a conceptual understanding of how functions are used to model various situations.

10th Grade - Constructions, Proof, and Rigid Motion

Students use the properties of circles to construct and understand different geometric figures, and lay the groundwork for constructing mathematical arguments through proof.

11th Grade - Linear Functions and Applications

Students review and extend the Algebra 1 skills of graphing, manipulating, and describing solutions in order to deepen their understanding of modeling situations using linear functions.

11th Grade - Quadratics

Students build on their knowledge of the features, forms, and representations of quadratic functions, and extend their understanding from solutions in the real number system to the complex number system.

8th Grade - Solving One-Variable Equations

Students hone their skills of solving multi-step equations and inequalities, redefining their definition of "solution" to include cases such as infinite solutions, and interpreting solutions in context.

11th Grade - Polynomials

Students analyze features of polynomials using their equations and graphs, perform arithmetic operations on polynomials, and use polynomial identities to solve problems.

9th Grade - Linear Expressions & Single-Variable Equations/Inequalities

Students become proficient at manipulating and solving single-variable linear equations and inequalities, and using them to model and interpret contextual situations.

9th Grade - Linear Equations, Inequalities and Systems

Students manipulate, graph, and model with two-variable linear equations and inequalities, are introduced to inverse functions, and continue studying linear systems of equations and inequalities.

11th Grade - Exponential Modeling and Logarithms

Students revisit exponential functions, including geometric sequences and series, and learn to manipulate logarithmic expressions and equations to solve problems involving exponential modeling.

8th Grade - Linear Relationships

Students compare proportional relationships, define and identify slope from various representations, graph linear equations in the coordinate plane, and write equations for linear relationships.

9th Grade - Functions and Transformations

Students take a deeper look at piecewise functions and absolute value functions, and study how transformations of functions can be identified graphically and represented algebraically.

8th Grade - Systems of Linear Equations

Students explore what happens when you consider two linear equations simultaneously, and explore the many rich applications that can be modeled with systems of linear equations in two variables.

9th Grade - Quadratic Functions and Solutions

Students investigate and understand the features that are unique to quadratic functions, and they learn to factor quadratic equations in order to reveal the roots of the equation.

11th Grade - Trigonometric Identities and Equations

Students expand on their knowledge of trigonometry, developing a foundation for calculus concepts by expanding their conception of trigonometric functions and looking at connections between functions.

9th Grade - Quadratic Equations and Applications

Students continue their study of quadratic equations, learning new strategies to determine the vertex and roots of quadratic equations and applying these in various real-world contexts.

Algebra 1 - Unit 4: Linear Equations, Inequalities and Systems - Lesson 1

Identify the solutions and features of a linear equation and when two linear equations have the same solutions.

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