The purpose of this task is to use finite geometric series to investigate an amazing mathematical object that might inspire students' curiosity. The Cantor Set is an example of a fractal.
This task asks students to perform computations involving complex numbers using the given information.
This task presents a real world application of finite geometric series. The context can lead into several interesting follow-up questions and projects. Many drugs only become effective after the amount in the body builds up to a certain level. This can be modeled very well with geometric series.
The CyberSquad uses algebra to figure out how many gleamers they need and how many power glows are produced by each gleamer as they must power up a Cyberspace ship in this video from Cyberchase. [1:43]
The primary purpose of this task is to illustrate certain aspects of the mathematics described in the A.SSE.1. The task has students look for structure in algebraic expressions related to a context, and asks them to relate that structure to the context. In particular, it is worth emphasizing that the task requires no algebraic manipulation from the students.
This is a standard problem phrased in a non-standard way. Rather than asking students to perform an operation, expanding, it expects them to choose the operation for themselves in response to a question about structure. The problem aligns with A-SSE.2 because it requires students to see the factored form as a product of sums, to which the distributive law can be applied.
Demonstrates how to compute with positive and negative fractions and compare the answers. [5:59]
Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.
This task contrasts the usefulness of four equivalent expressions. Students first have to confirm that the given expressions for the radioactive substance are equivalent. Then they have to explain the significance of each expression in the context of the situation.
This site teaches Expressions and Equations to 8th graders through a series of 4712 questions and interactive activities aligned to 32 Common Core mathematics skills.
Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.
This exploration can be done in class near the beginning of a unit on graphing parabolas. Students need to be familiar with intercepts, and need to know what the vertex is.
Practice tying your sentences and ideas together with this worksheet on transitional expressions. W.9-10.1c cohesion/clarity/reason
Brush up on your math skills relating to expressions and equations then try some practice problems to test your understanding.
This task illustrates the process of rearranging the terms of an expression to reveal different aspects about the quantity it represents, precisely the language being used in standard A-SSE.B.3.
Use this tool to strengthen understanding and computation of numerical expressions and equality using a balance scale.
Students are asked to consider the expression that arises in physics as the combined resistance of two resistors in parallel. However, the context is not explicitly considered here. The task is good general preparation for problems more specifically aligned to either A-SSE.1 or A-SSE.2.
The purpose of this task is to help students see manipulation of expressions as an activity undertaken for a purpose.
This is a complete, full-year Algebra 1 course with interactivity included in every lesson. Some lessons include videos, and all include interactives and inline questions that offer instant, per-answer feedback. Every lesson also has specifically chosen 'Related Modalities' that teach the same concept in different ways. These may be additional videos, interactives, or study guides. A teacher's edition is also provided.
A free CK-12 account is required to view all materials.
Definitions, example problems, and practice exercises will help you evaluate and write algebraic expressions.
This website contains a tutorial that teaches you how to multiply radicals that have the same index number, divide radicals that have the same index number, and simplify radical expressions. Example problems are worked through step-by-step and also practice problems are given.
Learn what it means for polynomials to be factors of other polynomials or to be divisible by them.
Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.