Functions are mathematical entities that assign unique outputs to given inputs. Sounds simple? Think again! In this topic you will evaluate, graph, analyze, and create various types of functions.
Seeing_structure_in_expressions
Learn how to use algebra in order to solve problems that involve variables whose values are unknown.
Learn how to interpret solutions to systems of linear equations and solve them.
Units_of_measurement_in_modeling
Modeling is an amazing world, full of challenges. In this topic, we will start to think about some general modeling concerns, before we dive into modeling situations with different kinds of functions and equations throughout the Algebra curriculum.
Two-way tables show us relationships between categorical variables.
In this topic, we study inequalities like x+2y>5 and graph them. This helps us see their solutions. We also explore systems of inequalities (multiple inequalities at the same time) and use them to describe real-world situations.
Linear_equations_functions_word_problems
Solve various word problems that involve real world relationships that can be represented by linear equations or functions.
Learn what it means for two figures to be congruent, and how to determine whether two figures are congruent or not. Use this immensely important concept to prove various geometric theorems about triangles and parallelograms.
Learn about the various ways in which we can define sequences; Use and construct arithmetic and geometric sequences.
Learn how to construct, analyze, graph, and interpret basic exponential functions of the form f(x)=a*r^x.
Equations_inequalities_in_one_variable
Learn how to solve linear equations that contain a single variable. For example, solve 2(x+3)=(4x-1)/2+7. Learn how to solve linear inequalities with a single variable. For example, solve -3(x+1)>2x-7. Learn how to solve compound inequalities. For example, solve 2x+1>3 AND -x-5<4.
Learn about linear equations that contain two variables, and how these can be represented by graphical lines and tables of values.
Scatterplots show us relationships and patterns in data, and we use those patterns to make predictions.
In analytic geometry, also known as coordinate geometry, we think about geometric objects on the coordinate plane. For example, we can see that opposite sides of a parallelogram are parallel by by writing a linear equation for each side and seeing that the slopes are the same.
Expressions_with_rational_exponents_radicals
Learn about expressions with rational exponents like x^(2/3), about radical expressions like √(2t^5), and about the relationship between these two forms of representation. Learn how to evaluate and simplify such expression.
Data makes more sense when we graph it and summarize it with numbers.
In this topic you will learn about the most useful math concept for creating video game graphics: geometric transformations, specifically translations, rotations, reflections, and dilations. You will learn how to perform the transformations, and how to map one figure into another using these transformations.
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