CK-12 Foundation
Polynomials in Standard Form
Set the standard for working with polynomials. Pupils arrange two polynomial expressions in standard form. The scholars respond to questions about the terms, coefficients, and degrees of the polynomials. They then discuss how they can...
CK-12 Foundation
Linear Systems with Addition and Subtraction: XYZ Tiles
Cover it up to reveal the values of variables. Using arrangements of colored tiles representing algebraic expressions, pupils layer them over each other to determine the values of variables. The procedure models the elimination method in...
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
Additive and Multiplicative Rules for Probability: Red Dress? Blue Dress? Both!
The sum of the parts is greater than the whole. An interactive uses a Venn-like model to show the percentage of females from a survey that have a blue dress, a red dress, or both. The pupils determine the numbers in each category...
CK-12 Foundation
Conditional Probability: Colorful Cubes
An interactive provides a model to visually represent the formula for the probability of an outcome. Given 10 numbered color cubes, pupils arrange them on the top and bottom shelf to represent the probability fraction. The learners use...
Education Development Center
Creating a Polynomial Function to Fit a Table
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...
CK-12 Foundation
Rational Numbers in Applications: Pizza with Friends
Explore the application of fractions in a real-life situation. Learners manipulate an interactive simulation to model a given scenario. They find fractions of fractions and explain the importance of the part-to-whole comparison.
CK-12 Foundation
Distributive Property: Catching Fireflies
Model the distributive property with jars of fireflies! An interactive animation has learners manipulate the number of jars of fireflies to determine the number caught. Accompanying questions ask scholars to consider the multiplication...
CK-12 Foundation
Simplify Products or Quotients of Single Variable Expressions: Circling C's
Model expression division using online manipulatives. Learners drag C's representing a term into equal groups. Guiding questions help them see their groups as the division of the term.
CK-12 Foundation
Function Rules for Input-Output Tables: Function Machine 2
Model function operations using a function machine. An interactive lesson has learners determine the patterns of a double function machine. They use the patterns to write functions and make connections between the inputs and outputs.
CK-12 Foundation
The Real Numbers: Adding Electrons
Get a charge out of a great resource! Scholars use an interactive to explore addition and subtraction of integers. They add or remove electrons in an atom model to consider its charge.
Georgetown University
Cup-Activity: Writing Equations From Data
Determine how cup stacking relates to linear equations. Pupils stack cups and record the heights. Using the data collected, learners develop a linear equation that models the height. The scholars then interpret the slope and the...
CK-12 Foundation
Arithmetic Sequences: Paying of a Loan
How long does it take to pay off a loan? Pupils use a graph to model the sequence associated with paying off a loan. Using the graph, learners determine the initial value and the common difference of the arithmetic sequence. The learners...
CK-12 Foundation
Geometric Sequences: Bacteria Colony
Show budding mathematicians how to model a diminishing bacteria colony two ways—graphically and algebraically. Using the coordinate axis, pupils create a graph to represent the decay of a bacteria colony. They determine the number of...
CK-12 Foundation
Ellipses Centered at the Origin: Lithotripsy
Investigate ellipses through the lens of medical applications. Pupils use a medical scenario to determine the equation of an ellipse. By using the interactive, learners determine the foci and major and minor axes of the ellipse that...
Alabama Learning Exchange
Logarithms: Undo the Exponential
Rumor has it that an exponential can be undone. After playing a rumor game to model exponential growth, pupils learn about undoing exponential functions. They use the definition of the logarithm to convert exponential equations to...
Kenan Fellows
Designing and Analyzing Data Collected from Wearable Devices to Solve Problems in Health Care
Wearable devices have become more the norm than the exception. Learners analyze data from a sample device with a regression analysis in a helpful hands-on instructional activity. Their focus is to determine if there is a connection...
5280 Math
More or Less the Same
Tell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...
Mathematics Vision Project
Module 5: Systems of Equations and Inequalities
Systems of equations and inequalities model contextual situations. A set of 12 lessons build a solid understanding of writing and solving systems of equations and inequalities using a variety of methods. The module is the fifth in a...
Mathematics Vision Project
Module 6: Quadratic Functions
Linear, exponential, now it's time for quadratic patterns! Learners build on their skills of modeling patterns by analyzing situations with quadratic functions. The sixth module in the Algebra I series has pupils analyze multiple...
Concord Consortium
Systematic Solution I
Writing a general rule to model a specific pattern is a high-level skill. Your classes practice the important skill as they write rules describing the solutions to a system of equations with variable coefficients. As an added challenge,...
Concord Consortium
Swimming Pool I
Take a dive into a three-dimensional task. Given a specific surface area, individuals must maximize the volume of a cylindrical swimming pool. They combine their understanding of surface area and volume to create a cubic function that...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Target L
Functions are for forming context models. A PowerPoint file contains 11 questions for learners to answer. It covers the high school SBAC Claim 1 Target L item specifications and requires interpreting functions, determining appropriate...
Mathed Up!
Probability and Relative Frequency
Go ahead and take a chance. Given the probability of an event, scholars determine the frequency of the event out of a sample. The part of a review series for the General Certificate of Secondary Education math assessment asks classmates...
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