PBL Pathways
Medical Insurance 2
Make an informed decision when choosing a medical insurance provider. An engaging lesson asks your classes to write piecewise models to represent the cost of different medical plans. The project-based learning activity is a variation of...
CK-12 Foundation
Sample Spaces and Events: Triple Spin!
Scholars determine the number of possible outcomes when a spinner is spun three times. They start with the case of one spin and build up to the case of three spins.
Howard County Schools
Generous Aunt
Witness the power of exponential growth with an activity that investigates two different savings plans. Class members create tables of values to see how and when a savings plan increasing exponentially exceeds one increasing linearly.
Curated OER
Representing Data 2: Using Box Plots
What information can be gleaned from a box and whiskers plot? Discuss the five summary values - minimum, maximum, upper and lower quartiles, and median - and what conclusions can be made from these values? Included here is a matching...
K-5 Math Teaching Resources
Multiplication Chart
This is not your run-of-the-mill multiplication chart. Going beyond the standard 12 x 12 limit, this resource includes multiplication facts up through 12 x 20, making it great for supporting children as they continue working toward being...
West Contra Costa Unified School District
Derivative – Standard Definition
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the...
CK-12 Foundation
Multiplying Matrices by a Scalar
The rule is add before multiplying, even with matrices. Pupils use a slider to change the scalar multiplying the sum of two matrices. The interactive displays the resulting solution matrix, and requires scholars answer five questions...
CK-12 Foundation
Matrix Algebra: Matrix Match
What size is the product of two matrices? Individuals determine that two matrices that can be multiplied and their resulting matrix by connecting them in the interactive resource. They make a generalization about the sizes of...
CK-12 Foundation
Operations with Vectors: GPS Device
Determine the distance between two hikers using vectors. Pupils use an interactive to develop the formula to find the distance between two points knowing their relationship to a third point. Learners use the formula to calculate the...
CK-12 Foundation
Use Square Roots to Solve Quadratic Equations: Plus or Minus
Get two answers from a single equation. Pupils use the interactive to take the square root of nine and see the graphical representation of the two solutions. Individuals realize that solutions to quadratic equations that are solved by...
CK-12 Foundation
Angles of Elevation and Depression: Fly-By Calibration
Determine the distance between two trees from afar. Pupils use an interactive resource to create two right triangles using trees and a plane. They determine the horizontal legs of each triangle to find the distance between the two trees.
CK-12 Foundation
Comparing Methods for Solving Quadratics: Comparing Methods to Solve a Quadratic
Determine the quickest process for solving quadratics. Pupils compare the number of steps in the process of solving quadratics using three different methods. Scholars determine which situations lend themselves to the different solving...
CK-12 Foundation
Sum and Difference of Cubes: Stacking Blocks
Investigate polynomial factoring patterns by finding a connection to volume. As learners build a three-dimensional solid from smaller solids, they convert the visual model to a mathematical expression. Their models represent the sum of...
CK-12 Foundation
Improper Fractions as Mixed Numbers: Sharing Scratch-n-Sniff Stickers
No, you can't actually smell these 13 scratch-n-sniff stickers. But you can group them into equal groups of four, with one sticker remaining. Using that information, learners create a mixed number based on the improper fraction, 13/4.
CK-12 Foundation
Length of a Chord: Distance Across a Ferris Wheel
An interactive presents two friends on a ferris wheel with the task of finding the distance between the them. Pupils create the chord between the two friends and calculate its lengths using trigonometric ratios.
CK-12 Foundation
Radical Equations: Geometric Visual of a Square Root
How can you draw a number? A set of questions takes learners through the reasoning for why a geometric construction can be drawn to represent the square root of a number. An interactive helps visualize the construction.
CK-12 Foundation
Square Roots and Irrational Numbers: Estimating Radicals
Try out a resource using triangles to estimate radicals. An interactive app allows learners to approximate some irrational numbers involving square roots. They find the two consecutive numbers that an irrational number lies between...
CK-12 Foundation
Ambiguous Case: Furniture Store Problems
Remove any ambiguity about using a helpful resource. Individuals use an interactive to find the number of triangles that fit given conditions. They find that some conditions can result in more than one triangle in the ambiguous case.
CK-12 Foundation
Addition of Polynomials: Splitting into Tiles
Count on tiles to add polynomials. Pupils drag virtual algebra tiles onto colored mats to represent the sum of two polynomials. The learners count the number of like tiles to find the coefficient of each term. They finish...
CK-12 Foundation
Linear Programming: Bakers' Dilemma
Place the pies in a line. Pupils create a graph of a system of linear inequalities to represent the number of pies a bakery can make. Learners analyze the vertices on the graph to determine the number of pies they can bake without...
CK-12 Foundation
Linear Systems with Addition and Subtraction: Fill in the Boxes 2
Systematically combine shapes to arrive at one solution. The resource models a system of linear equations using colored shapes. Pupils follow rules to combine circles and squares to add the two equations together, resulting in one...
CK-12 Foundation
Fitting Lines to Data
Scatter the TV sales over weeks. Pupils create a scatter plot to display the number of TV sales over a period of several weeks. The interactive allows class members to create two lines of best fit. Then they determine which line fits...
CK-12 Foundation
DeMoivre's Theorem and nth Roots: The nth Roots of Unity
The nth roots of unity all have a magnitude of one. Scholars use the unit circle and DeMoivre's Theorem to find the complex roots of one and discover that the complex numbers all lie on the unit circle and are equally spaced around it...
CK-12 Foundation
Discrete Random Variables: Roll the Dice!
And the winner is ... not always who it appears to be. An interactive gives the directions for a dice game that on the surface gives one player an advantage over the other. Pupils look closer at the possible outcomes and find the...