Balanced Assessment
Multi-Figures
Apply concepts of scale and ratio to determine relationships in irregular figures. Learners determine the ratio of the perimeters of two figures composed of rectangles and circles. After, they apply similar concepts to find the ratio of...
101 Questions
Best Circle
Drawing the perfect circle is harder than one would think! What makes a circle a circle and how can you define that with a formula? Young mathematicians devise their own methods of analyzing the imperfections of circle drawings. Using...
Concord Consortium
Betweenness III
Don't let a little challenge get between your pupils and their learning! Scholars compare two absolute value functions to recognize patterns and use them to build their own functions with outputs that are between the given. They then...
Concord Consortium
Betweenness IV
Challenge your classes to think between the curves. Given two function formed by the combination of two exponential functions, individuals must write three functions in which all values would lie between the given. The question is...
Concord Consortium
Writing and Sketching II
Find the function that fits. Scholars first identify the graph of a function that looks the same after a horizontal translation. They must then find the equation of a function whose graph lies only in two adjacent quadrants.
Concord Consortium
Sum and Product
From linear to quadratic with a simple operation. An exploratory lesson challenges learners to find two linear functions that, when multiplied, produce a given parabola. The task includes the graph of the sum of the functions as well as...
Curated OER
Graphs that Represent Data Sets
These four scenarios all contain graphable data; can scholars match them to the correct bar graphs? All the data is in single-digit whole numbers. Some of the scenarios instruct kids to make a graph, while others don't. Clarify...
Curated OER
Measuring Lengths Using Rulers
Three rulers offer measuring practice with inches, centimeters, and millimeters. Scholars write four measurements, two of which involve fractional units. For the metric ruler they measure the same length in both centimeters and...
Illustrative Mathematics
Frog and Toad on the Number Line
Administer a learning activity that challenges your class to use a number line in the form of lily pads. Learners are instructed to display the number of hops that Toad and Frog take during their journey on a number line. Young...
Curated OER
Explaining the equation for a circle
By first starting with an explicit example of a radius and center point, this challenging lesson tries to help high schoolers gain an understanding of the Pythagorean theorem and the equation of a circle. Once they have accomplished the...
Curated OER
Find 1
Extend your class's ability to represent unit fractions on a number line with this challenging worksheet. Given two number lines, one labeled with zero and 1/4, the other with zero and 5/3, students must accurately locate the number one...
Mt. San Antonio Collage
Test 1: Graphing Functions
Graph the night away with all the different types of functions provided in the instructional activity. Linear, quadratic, and rational all ask for graphs, domain and range and other key factors about the functions.
West Contra Costa Unified School District
Three Forms of an Equation of a Line
An equation is an equation is an equation. Scholars see there are many ways to solve them when they first sort a set of linear equations as written in standard form, point-slope form, or slope-intercept. They then write equations in all...
University of California
Student Workbook: Algebra I
Need a helping hand in Algebra I? How about a giant, super-sized worksheet packet? Here is a resource that has worksheets for virtually every concept with some accompanying examples.
Curated OER
Food for Spaceflight
When astronauts get hungry in outer space, they can't just call and have a pizza delivered. In order to gain an appreciation for the challenges associated with space travel, young learners are given the task of selecting,...
Curated OER
Product Rule
In this calculus worksheet, students find the derivative of a function. They use the product rule to to differentiate each problem. There are 21 problems with an answer key.
Curated OER
Differentiation Using the Quotient Rule
In this calculus worksheet, students use differentiation to solve problems. They apply the quotient rule as they solve rational expressions. There are 19 questions with an answer key.
Curated OER
Logarithmic Differentiation
In this calculus learning exercise, 12th graders perform logarithmic differentiation on functions for which the ordinary rules of differentiation do not apply. The one page interactive learning exercise contains eleven...
Curated OER
The Algebra of Summation Notation
In this algebra worksheet, students use the summation notation correctly as they solve problems. They define the integral of a function and solve problems involving i. There are 14 questions with an answer key.
Curated OER
The Integration of Exponential Functions
In this calculus worksheet, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
Curated OER
Integration of Trigonometric Integrals
In this trigonometry worksheet, students use integration to solve for the six different trigonometric identities. They use indefinite integrals to solve problems. There are 27 questions with an answer key.
Curated OER
The Method of Integration by Parts
In this calculus learning exercise, students perform integration by parts. They solve differential equations as they use integration by part to solve unlike terms. There are 23 problems with an answer key.
Teach Engineering
Magnetic Materials
The design challenge: develop a method to separate steel from aluminum. The first lesson plan in an eight-part series introduces the class to the grand challenge of ciming up with a method to streamline a sorting process at a...
Curated OER
Hidden Hundreds
This is a great puzzle like challenge for your advanced learners. They are given 5 problems to solve, they must show how many ways they can make to provided number using the given numbers in the box. For example: To make 800 they need to...