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Math Solutions
Factor Game
Learning about factors and multiples is all fun and games with this simple math activity. The instructional activity begins with the teacher and class playing the Factor Game together as students figure out the rules and...
Illustrative Mathematics
Interpreting a Division Computation
Mathematicians show their understanding of a division problem. If a student can apply long division to a pair of numbers and determine a quotient, what other factors and multiples become apparent? The example illustrates a simple...
Balanced Assessment
Ostrich and Seahorse
Examine the relationship between ratios and scale. Young math scholars compare ratios of two models. They use the ratios to make a comparison between the two models. Each image uses a different scale, which requires learners to think...
EngageNY
How Do Dilations Map Lines, Rays, and Circles?
Applying a learned technique to a new type of problem is an important skill in mathematics. The lesson asks scholars to apply their understanding to analyze dilations of different figures. They make conjectures and conclusions to...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Texas Instruments
Greatest Common Divisor and Least Common Multiple
Students solve problems using the GCD and LCM. In this algebra activity, students factor and simplify equations using the greatest common and least common factors and multiples. They factor integers in pairs.
02 x 02 Worksheets
Inverse Variation
Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...
Curated OER
Inquiry Unit: Modeling Maximums and Minimums
Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and plot width v. area on a...
EngageNY
The Special Role of Zero in Factoring
Use everything you know about quadratic equations to solve polynomial equations! Learners apply the Zero Product Property to factor and solve polynomial equations. They make a direct connection to methods they have used with quadratic...
Virginia Department of Education
Attributes of a Rectangular Prism
A change is coming. Pupils use unit cubes to investigate how changes in the length, width, and/or height affects volume and surface area. They extend the results to write and test predictions on the effect of changing multiple sides on...
Education Development Center
Factoring a Degree Six Polynomial
Within collaborative groups, scholars factor a degree six polynomial. They can factor the polynomial using many different strategies — a great way to prompt mathematical discussion.
Curated OER
Mastering Math Vocabulary
Fifth graders investigate factors by utilizing mathematical terms. In this number sense lesson, 5th graders discuss and define terms such as factors, multiples, and denominators. Students create a Venn Diagram when...
101 Questions
Shipping Routes
The product of the hard work is learning. Scholars use a simulation tool to collect information to analyze. They must decide when two ships traveling back and forth across a river at different rates will meet on the same side. The intent...
K20 LEARN
Bounce Wiggle Cross
How does the graph intersect? Learners investigate the x-intercepts of polynomial functions. They first determine the relationship between the graph's interaction, then figure out the power of the factor.
Curated OER
Grade 5: Multiple Towers
Fifth graders use interlocking cubes to build towers to represent factors of numbers and place the towers in the appropriate places on a Tower chart in order to look for patterns. They work in partner groups, and finish by writing...
Curated OER
Factor Fun for Fifth Graders
Fifth graders explore common factors. In this factorization lesson plan, 5th graders discover the greatest common factor among two numbers in a game format. Students build on previous knowledge to determine the greatest common factor.
Illustrative Mathematics
Box of Clay
What happens to a volume when you scale the dimensions of a rectangular prism? In this problem, a box of clay is increased in each dimension, with the intent to see if learners can generalize the result. The addition of...
Mathematics Vision Project
Structures of Expressions
This comprehensive unit investigates transformations of quadratics, having learners follow "Optima" through the development and growth of her quilting business. Deftly weaving the story into the mathematical mechanics, the unit gives...
Education Development Center
Integer Combinations—Postage Stamps Problem (MS Version)
Number patterns can seem mysterious. Help your learners unravel these mysteries as they complete an intriguing task. Through examination, collaborative groups determine that they are able to produce all integers above a certain...
Curated OER
Multiplicity of Zeros of Functions
Pupils identify the multiplicity of exponents as they graph polynomials. They write equations for a function given the zeros of the function and work backwards from solving equations.
Curated OER
Coordinate Graphs, Translations and Reflections
Students perform translations and reflections. For this algebra lesson, students use the TI calculator to graph functions. They move the functions around on the coordinate plane using translation and reflection.
Illustrative Mathematics
An Integer Identity
Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...
Kenan Fellows
Multivariate Least Squares Regression Model with Variable Selection
The risk of contracting an infection in the hospital is low, but it does happen. Learn what risk factors have the highest correlation with hospital-acquired infections in the final lesson of a three-part series. Using the open source R...
Curated OER
Families of Functions
Learners use sliders to change the parameters of functions and examine how shifting parameters affects a graph. They identify the parameters of functions, find vertical and horizontal stretches, then calculate the scale factor and other...