Curated OER
Finding the Area of Shapes
In this area of shapes unit, upper graders participate in hands-on problem solving activities to find the formulas for the area of a parallelogram, a triangle, and a trapezoid. They manipulate the geoboard to explore relationships among...
EngageNY
Unknown Angle Proofs—Proofs with Constructions
Provide your emerging mathematicians with the tools to learn as they incorporate auxiliary lines to solve unknown angle proofs in this continuing segment. They decipher information from a diagram to uncover the missing pieces and...
Curated OER
12 Days of Christmas
Students utilize different problem-solving strategies and creative writing when dealing with the words from the song, "12 Days of Christmas." They try to problem solve how may presents were given and then explain their sequence in the...
Curated OER
Patterns and Pentominoes
Students solve pentomino puzzles. In this problem solving lesson, students discuss how pentomino puzzles play into the plot of Chasing Vermeer by Blue Balliett and practice solving a pentomino puzzle on their own....
Curated OER
Box It Up
Students use a six-step problem solving method to design a box/container. They are given the criteria for evaluation when presented with the problem. Students keep a notebook on processes, procedures, material, cost, design, machines,...
Illustrative Mathematics
Margie Buys Apples
One of the most common, everyday applications of math is dealing with money. This single problem calculating how much change Margie receives is more involved than it appears at first glance. An understanding of how fractions and decimals...
Curated OER
Green Stuff: Designing an Earth-Friendly Room
In this activity students explore earth-friendly materials that can be used in home environments. They learn about the relationship between the environment and design, and use a variety of problem-solving strategies. They work in...
EngageNY
Conducting a Simulation to Estimate the Probability of an Event II
Add some randomization into simulations. The 11th installment in a series of 25 presents two new methods to use in simulations--colored disks, and random numbers. Pupils use random numbers to run simulations where the probabilities make...
Curated OER
Find 2/3
This short problem with representing fractions on a number line is more than meets the eye. Labeled only with the numbers zero and 1/4, a number line is used to locate the fraction 2/3. A solution can be found in multiple ways, but young...
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...
Illustrative Mathematics
Two Wheels and a Belt
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
Teach Engineering
Bone Mineral Density Math and Beer's Law
Hop into a resource on Beer's Law. A PowerPoint presentation introduces Beer's law as part of calculating bone density from X-ray images in the sixth lesson plan in the series of seven. Individuals work on practice problems with this law...
Curated OER
Jon and Charlie's Run
Let's use math to solve an argument. Jon and Charlie are debating about who can run farther, but who is right? That's what your class will figure out as they apply their understanding of fractions to this real-life situation. A simple,...
West Contra Costa Unified School District
Properties of Multiplication
Unlock the keys to fluent multiplication with this upper-elementary math lesson. After an introduction to the five properties of multiplication, students match cards with different math problems to posters describing each...
Illustrative Mathematics
Extensions, Bisections and Dissections in a Rectangle
Gaining practice in translating a verbal description into a diagram and then an equation is the real point of this similar triangles exercise. Once the diagram is drawn, multiple methods are provided to reach the conclusion. An effective...
Curated OER
Measuring Real Stuff
Looking for a good lesson on measurement? This one could be for ytou! Learners select and use appropriate nonstandard units to measure and compare lengths and weights of real-life objects. They use problem-solving skills to design a...
Illustrative Mathematics
Shortest Line Segment from a Point P to a Line L
One of the hardest skills for many young geometers to grasp is to move beyond just declaring obvious things true, and really returning to fundamental principles for proof. This brief exercise stretches those proving muscles as the...
EngageNY
Multiplying and Dividing Expressions with Radicals
That's radical! Simplifying radicals may not be exciting, but it is an important skill. A math lesson provides explanations of properties used throughout the material. Scholars practice skills needed to multiply and divide...
Curated OER
Measuring Area: Sensible Flats
Here's how to calculate the areas of polygonal figures. In this measuring area lesson, upper graders use hash marks to create and count square units. They also problem solve a cyberchase activity watching Quicktime videos.
West Contra Costa Unified School District
Quadratic Equations — What We Know
Everything you could possibly want to know about quadratic equations, all in one resource. Instructors demonstrate how to translate between different forms of quadratics (equation, table of values, graph, verbal description) and finding...
Curated OER
It's Not All Greek to Me
Learners find out the meaning for prefixes used in math vocabulary. By dissecting words used in everyday math, they figure out what the prefix indicates and what the word means. A variety of well-organized worksheets and activities...
Curated OER
Understanding Proportions and Scale Drawings
Proportions are ratios found using multiplication or division. Middle schoolers solve measurement problems, find a figure's missing dimension, and find the distance between two points. Resource features four lesson plans with detailed...
Illuminations
Circumference and Areas of Circles
Middle and high schoolers listen to a scenario about a puppy and use the scenario to develop formulas in order to find the area of a circle. In this circumference lesson, pupils understand how to find the radius, diameter, area of a...
Mathalicious
Been Caught Stealing
You're safe, when calculating the odds of stealing second base! Learners compare the rate of a runner to the distance the ball travels, in a lesson that explores right triangles and measurement. Full of discussion questions and fun...
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