The purpose of this problem is to rewrite simple rational expressions in different forms to exhibit different aspects of the expression, in the context of a relevant real-world context, in this case, the fuel efficiency of a car. A-APR.D.6.

This task is intended to help students see more clearly the link between factorization of polynomials and zeroes of polynomial functions. The argument here generalizes to show that a polynomial of degree d can have at most d roots....

The purpose of this task is to emphasize the use of the Remainder Theorem as a method for determining structure in polynomials in equations, and in this particular instance, as a replacement for division of polynomials. Aligns with...

In this task, students will rewrite fractions as a sum of distinct unit fractions. To solve the problem, students will rewrite a simple rational expression and will need to study the arithmetic of these unit fractions with a variable in...

For this task, students investigate the properties of a polynomial of degree d > 0. The task relates to the Fundamental Theorem of Algebra. Aligns with A-APR.B.2.

This is the first of a series of problems building to an understanding of an important property of polynomial functions, that a polynomial of degree d can have at most d roots. Aligns with A-APR.B.2.

For this task, students investigate polynomial identities in order to generate Pythagorean triples. Aligns with A-APR.C.4.

This task asks students to solve a quadratic equation in as many different ways as they can. Aligns with A-REI.B.4 and A-REI.D.11.

For this task, students are shown the graphs of two equations, with areas bounded by their lines and intersections shaded in different colors. They are asked to write a system of equations or inequalities for each shaded area and explain...

This is an assessment task that has students look for structure in algebraic expressions related to the context of trucks delivering concrete blocks and asks them to relate that structure to the context. Aligns with A-SSE.A.1 and...

This task asks students to examine an expression that has a denominator represented by the addition of two fractions. Each of those fractions has a denominator that is a variable. They are asked to analyze the structure of the expression...

This task asks students to analyze four expressions to determine what each represents in terms of the problem's context, which is about two trucks delivering different amounts of sand in different numbers of trips. Aligns with A-SSE.A.1...

For this task, students are asked to interpret equations representing a bank account's balance where the interest is compounded monthly versus yearly. Aligns with A-SSE.A.1 and A-SSE.A.1.a.

This task about a box of chocolates has learners use the given equations to answer questions about weight and price, as well as interpret the expressions in the equations. Aligns with A-SSE.A.1 and A-SSE.A.1.a.

The purpose of this task is to identify the structure in the two algebraic expressions by interpreting them in terms of a geometric context, a series of squares filled with dot arrangements. Students are asked to notice a pattern and...

In this task, students use the structure of an expression to find ways to rewrite it. They are asked to use the defining property of even and odd functions to manipulate expressions involving function notation and to see the structure in...