Lesson Plan
Teach Engineering

Optimizing Pencils in a Tray

For Teachers 8th - 10th Standards
What do you call a story about a broken pencil? Pointless. Scholars may not be telling stories when using the resource, but they are solving optimization problems involving the maximum number of pencils that can fit on a tray. They...
Lesson Plan
Curated OER

Mathematics: A Picture's Worth a Thousand Words

For Teachers 9th - 12th
Students examine school yearbooks from 1950 to the present. They count the number of male and female teachers and administrators. They compile date and extrapolate changes in job trends.
Activity
Illustrative Mathematics

Temperatures in degrees Fahrenheit and Celsius

For Teachers 8th - 12th Standards
Learners investigate the relationship between the Fahrenheit and Celsius temperature scales. Given two data points, they construct a linear function to describe the relationship, find the inverse of the function, and make observations...
Lesson Plan
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Illustrative Mathematics

Right Triangles Inscribed in Circles I

For Teachers 9th - 10th Standards
One of the basic properties of inscribed angles gets a triangle proof treatment in a short but detailed exercise. Leading directions take the learner through identifying characteristics of a circle and how they relate to angles and...
Interactive
CK-12 Foundation

Using Quadratic Equations to Solve Problems: Construct a Soccer Field

For Students 8th - 10th Standards
Build a soccer field through a little mathematical analysis. Individuals manipulate the dimensions of a soccer field as they drag points to new positions. The simulation shows the corresponding intercepts and area. As pupils explore the...
Activity
Illustrative Mathematics

Points equidistant from two points in the plane

For Teachers 9th - 12th Standards
Young geometers apply their deductive reasoning skills and knowledge of proving triangles congruent in a task that asks them to prove if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints...
Lesson Plan
EngageNY

Drawing Triangles

For Teachers 7th Standards
Create concrete examples of triangle congruence for your classes. The eighth installment of the 29-part module sets the stage for studying triangle congruence. Given a set of criteria, math scholars use constructions to build a specific...
Lesson Plan
EngageNY

Properties of Similarity Transformations

For Teachers 9th - 10th Standards
You can explain it, but can you do it? After learners view a sequence of transformations, the next logical step is creating the transformation. Challenge your classes to construct a composition of transformations and verify the...
Lesson Plan
EngageNY

Looking More Carefully at Parallel Lines

For Students 9th - 10th Standards
Can you prove it? Making assumptions in geometry is commonplace. This resource requires mathematicians to prove the parallel line postulate through constructions. Learners construct parallel lines with a 180-degree rotation and then...
Lesson Plan
EngageNY

Reflections

For Teachers 9th - 10th Standards
Facilitate creativity in your math class as individuals learn the definition of a geometric reflection and correctly construct a model, as well as its reflected image. They use a perpendicular bisector and circles to elaborate on...
Lesson Plan
EngageNY

Representations of a Line

For Teachers 8th Standards
Explore how to graph lines from different pieces of information. Scholars learn to graph linear functions when given an equation, given two points that satisfy the function, and when given the initial value and rate of change. They solve...
Lesson Plan
EngageNY

More Practice with Box Plots

For Teachers 6th Standards
Don't just think outside of the box — read outside of it! The 15th lesson in a 22-part unit provides pupils more work with box plots. Learners read the box plots to estimate the five-number summary and interpret it within the context....
Activity
Illustrative Mathematics

Tangent to a Circle From a Point

For Teachers 9th - 10th Standards
Learners see application of construction techniques in a short but sophisticated problem. Combining the properties of inscribed triangles with tangent lines and radii makes a nice bridge between units, a way of using...
Worksheet
Curated OER

The Nature of Mathematics

For Students 11th - 12th
In this nature of mathematics learning exercise, students identify the different aspects of mathematics and how simple mathematical models are constructed to solve problems. Then, they define the power and limitations of mathematical...
Worksheet
Curated OER

Counting the Stars in Draco

For Students 8th - 10th
In this counting stars worksheet, students construct a histogram for stars in a given star field using their apparent magnitude. Students answer 5 questions using their tabulated data and histogram to answer questions about the stars of...
Lesson Plan
Curated OER

Equations in the Park

For Teachers 3rd - 4th
Learners explore algebraic concepts using real life situations.  In this equations lesson, students develop strategies to solve missing number problems. Learners participate in a board game based on algebraic equations.
Unit Plan
Mathematics Vision Project

Geometric Figures

For Teachers 10th - 12th Standards
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
Lesson Plan
Curated OER

Candy Machine

For Teachers 6th - 7th Standards
Using the concept of a candy vending machine, young mathematicians explore the sugar ratios found in different types of candy. Using the provided information, class members calculate and compare different ratios in...
Lesson Plan
Bowland

Torbury Festival

For Teachers 6th - 9th
Have you been to Torbury Fair? In the set of four lessons, learners solve a myriad of problems related to a music festival, including situations involving floods, market stalls, cows, and emergency plans. 
Unit Plan
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Curated OER

Build Your Dream Science Lab

For Teachers 6th - 8th Standards
Would your ideal science lab be filled with bubbling beakers and zapping Tesla coils? Or would it contain state-of-the-art computer technology and data analysis? Dream big with an innovative lesson that connects math and language...
Lesson Plan
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EngageNY

Structure in Graphs of Polynomial Functions

For Students 10th - 12th Standards
Don't allow those polynomial functions to misbehave! Understand the end behavior of a polynomial function based on the degree and leading coefficient. Learners examine the patterns of even and odd degree polynomials and apply them to...
Lesson Plan
EngageNY

Special Lines in Triangles (part 2)

For Teachers 9th - 10th Standards
Medians, midsegments, altitudes, oh my! Pupils study the properties of the median of a triangle, initially examining a proof utilizing midsegments to determine the length ratio of a median. They then use the information to find missing...
Lesson Plan
Curated OER

Constructions, Sketches, and Drawings

For Teachers 9th - 12th
Young scholars explore the concept of constructions, sketches, and drawings. In this constructions, sketches, and drawings lesson, students discuss the differences between constructions, sketches, and drawings through teacher led...
Lesson Plan
EngageNY

From Ratio Tables to Double Number Line Diagrams

For Teachers 6th Standards
How much sugar is in one bottle? Pupils use double number line diagrams to determine the amount of sugar in a 1L bottle of cola. The teacher leads a discussion on ways that double number lines can be of assistance in solving a...