EngageNY
Using Trigonometry to Determine Area
What do you do when you don't think you have enough information? You look for another way to do the problem! Pupils combine what they know about finding the area of a triangle and trigonometry to determine triangle area when they don't...
EngageNY
Using Trigonometry to Find Side Lengths of an Acute Triangle
Not all triangles are right! Pupils learn to tackle non-right triangles using the Law of Sines and Law of Cosines. After using the two laws, they then apply them to word problems.
Achieve
Yogurt Packaging
Food companies understand how to use math to their advantage. Learners explore the math related to the packaging and serving size of yogurt. They then use unit analysis and percent values to make decisions on the product development.
EngageNY
Unknown Angle Problems with Inscribed Angles in Circles
We know theorems about circles—now what? Class members prove a theorem, with half the class taking the case where a point is inside the circle and half the class taking the case where a point is outside the circle. The lesson then...
EngageNY
Graphing Factored Polynomials
Young mathematicians graph polynomials using the factored form. As they apply all positive leading coefficients, pupils demonstrate the relationship between the factors and the zeros of the graph.
EngageNY
Structure in Graphs of Polynomial Functions
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...
EngageNY
Types of Statistical Studies
All data is not created equal. Scholars examine the different types of studies and learn about the importance of randomization. They explore the meaning of causation and when it can be applied to data.
EngageNY
Experiments and the Role of Random Assignment
Time to experiment with mathematics! Learners study experimental design and how randomization applies. They emphasize the difference between random selection and random assignment and how both are important to the validation of the...
EngageNY
Euler’s Number, e
Scholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the instructional activity is the discovery of Euler's number.
EngageNY
Multiplying and Factoring Polynomial Expressions (part 2)
If you can multiply binomials, you can factor trinomials! This is the premise for a instructional activity on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading...
EngageNY
Solving Equations
Teach solving equations through an exploration of properties. Before pupils solve equations they manipulate them to produce equivalent equations. The activity switches the focus from finding a solution to applying properties correctly.
EngageNY
Matrix Multiplication Is Distributive and Associative
Learn the ins and outs of matrix multiplication. After discovering the commutative property does not apply to matrix multiplication in a previous lesson plan in the series, pupils now test the associative and distributive properties. The...
EngageNY
Review of the Assumptions (part 1)
What was the property again? Tired of hearing this from your pupils? Use this table to organize properties studied and as a reference tool for individuals. Learners apply each property in the third column of the table to ensure their...
EngageNY
Base Angles of Isosceles Triangles
Build confidence in proofs by proving a known property. Pupils explore two approaches to proving base angles of isosceles triangles are congruent: transformations and SAS. They then apply their understanding of the proof to more complex...
Curated OER
Stars and Slopes
More of a math lesson than physics or space science, high schoolers take a set of data and plot it on a log-log coordinate system. The write-up for day two was never completed, but day one, "Stars and Slopes," is complex and cohesive....
Curated OER
Functions - Intro and Inverses
Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...
Curated OER
Middle Ages Cross Curriculum Project
Middle schoolers complete several projects on the Middle Ages. In this world history lesson, students complete language arts, social studies, math, and science projects. Some of these include: comparing a teenager's life now to that in...
Curated OER
Probability of Numbers
For this applying the probability of numbers from one to fifty worksheet, students find divisors, prime numbers, composite numbers, and designated place value numbers. Students solve five problems.
DK Publishing
3 Times Table
This 25-chart will give mathematicians a chance to detect patterns as they shade in every multiple of three by skip counting. They solve multiplication number sentences involving three and the numbers 1-5 (one is done for them.) Finally,...
Curated OER
Speed Problems
Return to the classic word problem with these speed scenarios. Learners use some combination of the variables speed, distance, and speed to solve six problems, all of which ask for one of these as an answer. The examples do a nice job of...
Curated OER
Comparing and Ordering Decimals
Which decimal is greater? Learners start by comparing eight pairs of decimals, writing in the symbol (> or <) to indicate values. The next two sections involve sets of three decimals. They start by circling the decimal with the...
Curated OER
Patterns
Follow the pattern to find what comes next. Youngsters analyze shape patterns to continue the sequence in the provided space. The three patterns increase in difficulty, and then scholars have a chance to create two of their own....
Curated OER
Fractions
What fraction is represented by these shapes? Scholars examine fraction models as they apply basic fraction skills. The first two problems are guided; they look at a set of shapes with some shaded, circling (from three options) the...
Curated OER
More Than or Less Than?
How many apples is less than five? Each of these problems has two images, one with quantifiable details and one without (i.e. a tree with apples and an empty tree). Answers will vary as young counters draw objects onto the second image...
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