Illustrative Mathematics
Chocolate Bar Sales
In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
Illustrative Mathematics
Radius of a Cylinder
Here is a multiple choice question that would make a good assessment question. Algebra students are to look at the structure of the formula for a given radius of a cylinder and find the resulting radius when the height of the...
Mathematics Assessment Project
Funsize Cans
Designing fun-size cans ... what fun! Class members use the provided questions to determine the dimensions of a can with a minimum surface area for a given volume. The task allows learners to use graphs or algebraic manipulation to...
Mathematics Assessment Project
Fearless Frames
Show class members how to connect algebra to geometry. A high school assessment task has pupils determine volumes of two different containers given limitations on material for box frames. Pupils then write a paragraph on...
Mathematics Assessment Project
Temple Geometry
Temper your excitement of temple geometry. Using algebraic and geometry concepts to determine various measurements in a circle diagram, scholars determine the shaded area of the diagram.
Education Development Center
Distance, Rate, and Time—Walking Home
Dig into a classic math problem with your classes. Through an engaging task, learners work with rate and distance information to make conclusions. In the task, two people walk at different rates; one leaves first, and scholars...
Curated OER
All About Circuits ~ Atomic Structure
In this interactive Internet assignment, physical science investigators answer 11 questions about the atom, the subatomic particles, and atomic structure. They can click on "Reveal Answer" to discover if they are correct. They also...
Curated OER
Factoring Polynomials
For this Algebra II/college level worksheet, students use the discriminate to determine if a polynomial has factors with integral coefficients and factor polynomials, including factoring by pulling out the GCF and factoring by grouping....
Curated OER
Solving Quadratic Equations
In this Algebra II worksheet, 11th graders solve quadratic equations by factoring, completing the square, and the quadratic formula. Application problems are included. The two page worksheet contains seventy-two...
Curated OER
Properties of Logarithms
In this algebra worksheet, 11th graders solve logarithmic problems using the properties of logs. They condense and expand logs using the correct properties. There are 78 problems with an answer key.
Curated OER
Piecewise Practice Problems
In this algebra worksheet, students validate continuity of a graph by a defined interval as well as determine continuity of a piecewise function.
EngageNY
Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson in the series. Pupils explore linear equations and describe the points of intersection with a given polygon as...
EngageNY
Complex Numbers as Vectors
Show your math class how to use vectors in adding complex numbers. Vectors represent complex numbers as opposed to points in the coordinate plane. The class uses the geometric representation to add and subtract complex numbers and...
Illustrative Mathematics
Transforming the graph of a function
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and cf(x) for...
Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
Illustrative Mathematics
Fixing the Furnace
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
Illustrative Mathematics
Peaches and Plums
According to the resource graph, which costs more: peaches or plums? Algebra learners compare two proportional relationships and then throw in a banana. Leaving out the scale helps young scholars become intuitive about graphing.
Illustrative Mathematics
Ice Cream
Algebra learners can always relate to ice cream. In this case, a carton of ice cream has been at room temperature for t minutes. Given an expression for the temperature of the ice cream, it is up to your number crunchers to...
Mathematics Assessment Project
Bestsize Cans
Traditional calculus problem made simple. In the high school assessment task, learners determine the minimum surface area for a can of a given volume using algebraic and numerical methods to solve the problem. No calculus...
Curated OER
Sum Choice
In this algebraic thinking worksheet, students are provided with the challenge of finding the sum of 100 by adding up a given list of 2 digit numbers. This worksheet contains 1 problem to solve and the solution.
Curated OER
Writing Mathematical Equations
In this algebraic equations worksheet, 7th graders write an algebraic equation with one variable for each problem. Students then solve the problem.
Curated OER
Relations and Functions
In this relations and functions instructional activity, students identify the constant of variation. They write equations that represent a given relationship. This one-page instructional activity contains two problems.
Curated OER
Missing Numbers in Equations (B)
For this missing numbers in equations worksheet, students practice their math skills as they solve the 32 division equations.
Curated OER
Common Monomial Factors
In this algebra instructional activity, students identify common monomials. They factor polynomials and simplify equations. There are 2 questions with an answer key.
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