Illustrative Mathematics
Triangular Tables
Somewhat of a puzzle, this problem gets pre-algebra preteens to write an expression representing a seating chart using triangle-shaped tables. This single task is an applicable lesson for meeting sixth grade Common Core math standards....
Curated OER
Algebra...Your Second Language
Help learners translate word problems into algebraic equations. They will rewrite words using symbols and evaluate algebraic expressions using real life scenarios, animation sequences, video presentations, and activities to help young...
Virginia Department of Education
Adding and Subtracting Polynomials Using Algebra Tiles
Scholars learn how using algebra tiles to add and subtract polynomials can model how to combine polynomials. They use their newfound knowledge to complete a worksheet of problems.
EngageNY
Overcoming Obstacles in Factoring
What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.
Curated OER
Regents Exam Questions: Properties of Logarithms 4
In this logarithm worksheet, students determine equivalent logarithms. They rewrite given logarithmic expressions. This three-page worksheet contains thirteen problems. Answers are provided on the last page.
Inside Mathematics
Party
Thirty at the party won't cost any more than twenty-five. The assessment task provides a scenario for the cost of a party where the initial fee covers a given number of guests. The class determines the cost for specific numbers of guests...
Curated OER
Number Line: Negative Numbers
In this graphing calculator worksheet for the TI-83 calculator, middle schoolers first observe a demonstration for calculating negative numbers. Next, middle schoolers use their graphing calculator to answer 6 thoughtful T/F and short...
Curated OER
Throwing Horseshoes
Collaborative learners interpret a quadratic expression written in different forms in this task centered on throwing horseshoes.
Curated OER
Quadrupling Leads of Halving
Your statisticians will see that an expression is made up of one or more parts that can be seen as a single entity. Learners give an explanation, in terms of the structure. of the expression and, why it halves in value when n is quadrupled.
Curated OER
College Level Study Guide
In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...
EngageNY
Mastering Factoring
Math class is full of drama—there are so many problems to work out! Pupils work out factoring problems. They use quadratic methods of factoring higher degree polynomials, in addition to factoring the sum and difference of two...
Curated OER
Delivery Trucks
Written to assess learners' knowledge of interpreting expressions that represent a quantity in terms of its context, this machine-scored task also allows for a good discussion about units guiding the problem solving and solution.
EngageNY
Simplifying Square Roots
Explore the process of simplifying square roots through an analysis of perfect squares. The fourth instructional activity of 25 expects individuals to find the perfect square factors in each radicand as a means of simplifying. The...
Concord Consortium
Line of Sight
There's no way around it—learners must use trigonometry to model the line of sight around a race track! Using the starting line as the origin, pupils model the straight line distance to any car using a trigonometric expression. The...
Curated OER
Seeing Dots
Your algebra learners interpret algebraic expressions, in order to compare their structures, using a geometric context. They also discern how the two expressions are equivalent and represent a pattern geometrically and algebraically.
Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
Virginia Department of Education
Simplifying Square Roots of Whole Numbers
Simplify your life by using a resource on simplifying square roots. Pupils review square roots and calculate values of given radical expressions using a calculator. The lesson concludes by having them consider the results to develop the...
EngageNY
Recognizing Equations of Circles
What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...
Curated OER
Interesting Integers and Exciting Equations
An 80-page resource provides four lessons and all associated worksheets to teach middle schoolers about expressions and equations. The lessons are hands-on, using games, "integer chips," a balance and cubes, and cut and paste activities....
Curated OER
Problem Solving Model
Use a vocabulary chart to introduce math functions. The class defines a list of mathematical vocabulary terms on a worksheet, as well as completes equations and expressions. They examine word problems and practice transcribing them into...
Noyce Foundation
Apple Farm Field Trip
Monitor the growth of young mathematicians with a comprehensive addition and subtraction assessment. Using the context of a class field trip to an apple orchard, this series of four story problems allows children to demonstrate their...
Curated OER
Forms of Quadratic Equations
Transformations of parabolas to fit a particular quadratic equation is taught through this lesson. In this transforming parabolas to fit a particular quadratic equation lesson, high schoolers describe the transformations of the...
Curated OER
Domains
Your algebra learners work to address the order of operations applied to an expression's input variable and the limitations that may be created because of it. This simple task of a few very well-chosen exercises is elegant in it's way of...
Education Development Center
Extending Patterns with Exponents
Don't think negatively about exponents. Young mathematicians dissect a fictional conversation between pupils trying to evaluate an expression with a negative exponent. This allows them to understand the meaning of negative exponents.
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