In this lesson, 7th graders rewrite an expression to help determine a solution.

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...

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...

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, learners 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...

In this task, students are asked to study the structure of an algebraic expression, draw conclusions, and explain their thinking. Aligns with A-SSE.A.1 and A-SSE.A.1.b.

A landscaping company prepares two mixtures of fertilizer. In this task, students investigate what happens to the value of an expression when a quantity is changed. Aligns with A-SSE.A.1 and A-SSE.A.1.b.

This task about a box of chocolates has students 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 about tiling a kitchen floor is to give students practice in reading, analyzing, and constructing algebraic expressions, attending to the relationship between the form of an expression and the context from which...

According to ancient legend, Dido made a deal with a local ruler to obtain as much land as she could cover with an oxhide. Dido interpreted "cover" in an imaginative way and the land she obtained became the site of the important ancient...

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...

This task about the height of a horseshoe in flight requires students to identify expressions as sums or products and interpret each summand or factor. Aligns with A-SSE.A.1.

In this task, young scholars interact with a Desmos app by moving sliders and making observations about features of the graphs and the structures of the expressions of the functions. Aligns with F-IF.C.7.d.

This task serves as a possible first student exploration after an initial introduction to the form and arithmetic of complex multiplication. Students need to understand that every complex number can be expressed in the form a+bi, and...

This task presents a challenging exercise in both algebraic manipulations and seeing structure in algebraic expressions (MP 7).

In this task about canoeing, paddling speed, and current speed, students examine how long a trip would take at different speeds. They write a function equation, graph their equation, and explain their thinking. The primary purpose of the...

By using like radicals, expressions are easily simplified using addition and subtraction. Examples are provided to demonstrate how to simplify radicals to create like terms.

This task aims to show students that there is often more than one way to represent a quantity. This lesson also lays a foundation for students to understand the commutative property of multiplication.

The Standards for Mathematical Practice describe varieties of expertise that mathematics educators at all levels should seek to develop in their students. These practices rest on important 'Processes and Proficiency' with longstanding...

Students apply Newton's laws to more diverse physical settings where multiple forces from varying origins interact. To aid in condensing the physical setting into mathematical expressions, the free body diagram is used in this module...

Given the height and volume of a certain cylinder, Jill uses the volume formula to compute its radius. If a second cylinder has the same volume as the first, but is 100 times taller, what is its radius? Aligns with A-SSE.A.1.

This task is not about computing the final price of the shirt but about using the structure in the computation to make a general argument. Aligns with A-SSE.B.

This problem examines the growth of algal blooms in Chesapeake Bay. Students build an exponential function modeling algae concentration based on the information provided, and gain an appreciation for the exponential growth exhibited...

In this task, 6th graders are presented with a large square divided into 9 squares and the center square is then removed. They are asked to find the area of the 8 remaining squares. Each smaller square is divided in the same way and the...