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EngageNY
Are All Parabolas Similar?
Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.
EngageNY
Four Interesting Transformations of Functions (Part 4)
What do you get when you cross piecewise functions with transformations? An engaging lesson! The conclusion of a four-part series on the transformations of functions asks class members to apply transformations to piecewise...
EngageNY
Solving General Systems of Linear Equations
Examine the usefulness of matrices when solving linear systems of higher dimensions. The instructional activity asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the...
Curated OER
Prime and Composite Numbers
Prime and composite numbers are the focus of this mathematics lesson. In it, learners practice techniques for identifying these two types of numbers. They utilize the Inspiration program to complete a task that is clearly explained, and...
Curated OER
How Gear Systems Work: A Research Project
Students apply information regarding simple machines along with the math concept "ratios." The teacher introduces the concept that technology is the application of scientific knowledge and mathematics concepts to solve a problem. This is...
Curated OER
Who am I? Find A Polynomial From Its Roots
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...
Curated OER
Cutting Expenses
Students explore budgeting. In this finance and math instructional activity, students brainstorm ways in which households could save money. Students view websites that give cost reducing ideas. Students complete an expense comparison...
Curated OER
Systems of Equations and Real Life
What a great classroom resource! The intention of this lesson is to show that real-world math can and should be applied to the community in which your students reside. The class relates properties of equations to solving for species...
Illustrative Mathematics
Salad Dressing
Aunt Barb's salad dressing is a mixture of oil, vinegar, salt, herbs, and a pinch of math. Fifth graders add the fractional measurements of ingredients to find a total amount. The fractions have unlike denominators. After finding the...
AIMS Education Foundation
Classroom Olympics
As the Summer Olympics are approaching, incorporate Olympic-type games into the classroom. From straw javelin to cotton ball shot put, these games are sure to keep leaners engaged. The best part is that there is math involved! Pupils...
EngageNY
Matrix Multiplication Is Not Commutative
Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...
PBS
Garden Grade 6 Area and Perimeter
Engage young mathematicians in applying their knowledge of area and perimeter with a fun geometry activity. Through a series of problem solving exercises, children use their math knowledge to design different-sized garden...
EngageNY
The Power of Algebra—Finding Primes
Banks are responsible for keeping our financial information safe. Mathematics is what allows them to do just that! Pupils learn the math behind the cryptography that banks rely on. Using polynomial identities, learners reproduce the...
NTTI
I'll Halve S'more Please!
There is a lot to learn about fractions, and this is a fun way to do it! Individuals participate in a Cyberchase activity to describe a fraction in terms of sharing parts of a whole. They determine the meaning of the parts of a fraction,...
Curated OER
Chances Are......You're Right
Young mathematicians study probability. In this math lesson, learners calculate odds, and convert those into percentages of probability. Fractions are also used, making this lesson quite rich in some of the more difficult conversions...
Curated OER
Bouncing Ball
Students collect height versus time data of a bouncing ball using the CBR 2™ data collection device. Using a quadratic equation they graph scatter plots, graph and interpret a quadratic function, apply the vertex form of a quadratic...
Curated OER
Fractions, Decimals, and Percentages Got You Down? "Tri" This!
Students explore number sense by creating a math presentation in class. In this parts of a whole lesson, students define and discuss the relationship between fractions, decimals and percentages before completing a problem worksheet in...
National Security Agency
Place Value - Butterflies Floating Place to Place
Learn about butterflies and place value in a series of interdisciplinary lessons! With several worksheets that reference butterfly facts in word problems, kids can practice science and math in one activity. Additional worksheets are...
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
EngageNY
Rotations, Reflections, and Symmetry
Lead your high school class on a journey through the world of symmetry and reflections as you discuss geometric principles. Pupils differentiate between reflections and rotations, explore rotational symmetry, and investigate how to...
EngageNY
Unknown Angles
How do you solve an equation like trigonometry? Learners apply their understanding of trigonometric ratios to find unknown angles in right triangles. They learn the meaning of arcsine, arccosine, and arctangent. Problems include...
EngageNY
The Distance from a Point to a Line
What is the fastest way to get from point A to line l? A straight perpendicular line! Learners use what they have learned in the previous lessons in this series and develop a formula for finding the shortest distance from...
EngageNY
Equivalent Rational Expressions
Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...
EngageNY
Word Problems Leading to Rational Equations
Show learners how to apply rational equations to the real world. Learners solve problems such as those involving averages and dilution. They write equations to model the situation and then solve them to answer the question —...
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