Assessment
Inside Mathematics

Number Towers

For Teachers 9th - 12th Standards
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
Assessment
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Inside Mathematics

Two Solutions

For Teachers 9th - 12th Standards
Many problems in life have more than one possible solution, and the same is true for advanced mathematics. Scholars solve seven problems that all have at least two solutions. Then three higher-level thinking questions challenge them to...
Assessment
Inside Mathematics

Population

For Teachers 9th - 12th Standards
Population density, it is not all that it is plotted to be. Pupils analyze a scatter plot of population versus area for some of the states in the US. The class members respond to eight questions about the graph, specific points and...
Lesson Plan
EngageNY

Proof of the Pythagorean Theorem

For Teachers 8th Standards
What does similarity have to do with the Pythagorean Theorem? The activity steps through the proof of the Pythagorean Theorem by using similar triangles. Next, the teacher leads a discussion of the proof and follows it by an animated...
Lesson Plan
EngageNY

The Converse of the Pythagorean Theorem

For Teachers 8th Standards
Is it a right triangle or not? Introduce scholars to the converse of the Pythagorean Theorem with a lesson that also provides a proof by contradiction of the converse. Pupils use the converse to determine whether triangles with given...
Lesson Plan
EngageNY

Applications of the Pythagorean Theorem

For Students 8th Standards
Examine the application of the Pythagorean Theorem in problem-solving questions. Pupils apply the theorem to find lengths when given different scenarios. They finish the 17th installment in an 18-part series by applying the theorem...
Assessment
Inside Mathematics

Printing Tickets

For Teachers 9th - 12th Standards
Determine the better deal. Pupils write the equation for the cost of printing tickets from different printers. They compare the costs graphically and algebraicaly to determine which printer has the best deal based upon the quantity of...
Worksheet
Curated OER

Factoring Quadratic Trinomials

For Students 9th
In this factoring trinomials worksheet, 9th graders solve and complete 36 various types of problems. First, they write each trinomial in factored form. Then, students write all of the factor pairs of the third term and circle the pair...
Lesson Plan
Curated OER

Hyperbolas: Sketching from the Equation

For Teachers 9th - Higher Ed
In this algebra worksheet, learners sketch graphs of hyperbolas after solving equations to standard form and interpreting the center, vertices, foci, axis, asymptotes, and eccentricity from the equation. There are 58 questions.
Lesson Plan
EngageNY

Informal Proof of the Pythagorean Theorem

For Students 8th Standards
Prove the Pythagorean Theorem using multiple informal proofs. Scholars first develop an understanding of the origins of the Pythagorean Theorem through proofs. They round out the lesson by using the theorem to find missing side lengths...
Lesson Plan
Curated OER

Roman Bernardo: Solving Linear Equations

For Teachers 7th - 9th Standards
Mathematicians use an inquiry method to solve linear equations. In this linear equations lesson, students practice solving equations using addition, subtraction, multiplication and division. They solve multi-step equations and equations...
Lesson Plan
Virginia Department of Education

Cover Up Problems

For Teachers 6th - 9th Standards
Don't cover up this resource — use it out in the open! Pupils learn how to cover up various parts of a linear equation in order to help solve the equation. A worksheet of problems provides practice with this skill.
Lesson Plan
Virginia Department of Education

Solve for the Unknown

For Teachers 8th - 10th Standards
How can shapes help solve literal equations? Scholars first learn to replace variables with shapes to aid in solving literal equations. A worksheet of practice problems helps hone the skill.
Worksheet
Curated OER

Integrating Functions

For Students 6th - 8th
In this math worksheet, students find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
Worksheet
Curated OER

Numerical Analysis/ Orders of Convergence of a Sequence

For Students 11th - Higher Ed
In this math worksheet, students examine the concept of orders of convergence for a sequence. They practice finding the different rates of convergence.
Lesson Plan
Curated OER

Marcy's Dots

For Teachers 9th - 12th
Students identify the pattern changes that could occur in a series using pictures with dots. They use the patterns on the worksheets to have a context to describe pattern in words. Students look to find the linear, quadratic, or...
Lesson Plan
Curated OER

Exploring Geometric Constructions of Parabolas

For Teachers 6th - 8th
Young scholars are introduced to the construction geometrically of parabolas. Using a software program, they identify lines, segments and midpoints. They label the parabolas properties and characteristics and use a formula to determine...
Lesson Plan
Curated OER

Properties of Parabolas

For Teachers 9th - 12th Standards
Have your learners investigate parabolas. In this Algebra II instructional activity, students explore the basic definition of a parabola by using Cabri Jr. to create a parabola given the focus and directrix.  Students interpret the...
Lesson Plan
Curated OER

Properties of Parabolas

For Teachers 9th - 12th Standards
Learn to identify the properties of parabolas. High schoolers define parabola as the locus of all points equidistant from a fixed point and a fixed line. Also, interpret the equation for a parabola in vertex form and gain a visual...
Lesson Plan
Curated OER

Exploring Complex Roots

For Teachers 9th - Higher Ed Standards
In exploring the concept of complex roots, learners find the axis of symmetry and roots of parabolas.  Then, they discuss what makes a solution complex and how to identify functions with complex roots.
Lesson Plan
Curated OER

Parabolas

For Teachers 9th - 11th
In this Algebra I/Algebra II worksheet, students determine the vertex and the axis of symmetry of a parabola.  The two page worksheet contains a combination of eleven multiple choice and free response questions.  Answers are...
Lesson Plan
Curated OER

Parabolas

For Teachers 9th - 11th
In this Algebra I/Algebra II worksheet, young scholars identify the vertex and the axis of symmetry of a parabola, given the equation.  The two page worksheet contains a combination of ten multiple choice and free response...
Worksheet
Curated OER

Modeling the Keeling Curve with Excel

For Students 9th - 12th
In this modeling the Keeling Curve worksheet, students use given data beginning in 1960 to create a mathematical model for the changes in atmospheric carbon dioxide over time. Students manipulate the equation to predict the carbon...
Assessment
Mathed Up!

Transformation of Graphs

For Students 9th - 12th
In what ways can you transform a graph? An engaging video answers this question as it covers reflections, translations, and stretches of graphs. To test their knowledge, individuals complete a set of problems to apply this knowledge.

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