Illustrative Mathematics
Extensions, Bisections and Dissections in a Rectangle
Gaining practice in translating a verbal description into a diagram and then an equation is the real point of this similar triangles exercise. Once the diagram is drawn, multiple methods are provided to reach the conclusion. An effective...
West Contra Costa Unified School District
Correlation and Line of Best Fit
Computers are useful for more than just surfing the Internet. Pupils first investigate scatter plots and estimate correlation coefficients. Next, they use Microsoft Excel to create scatter plots and determine correlation...
Willow Tree
Patterns - Numbers, Shapes, etc.
Find the pattern is the name of the game! Learners examine different patterns represented by numbers, shapes, and words. They must describe the pattern, predict the result in a given position, and find an equation that...
Mathematics Assessment Project
Functions
After identifying which of the given coordinate points fall on the graph of a line and which fall on the graph of a parabola, pupils write equations for each function.
Lone Star College
Integer Order of Operations Worksheet
Practice, assess, or review mathematicians' skills with this integer learning exercise addressing order of operations using positive and negative integers, and solving equations in which letters stand for numbers.
Mr. E. Science
Atoms and Bonding
I don't trust atoms because they make up everything. Budding scientists learn about famous scientists connected to atomic models, chemical, ionic, and hydrogen bonds. The presentation also presents how to count atoms...
EngageNY
Solve for Unknown Angles—Angles and Lines at a Point
How do you solve for an unknown angle? In this sixth installment of a 36-part series, young mathematicians use concepts learned in middle school geometry to set up and solve linear equations to find angle measures.
WindWise Education
Which Blades Are Best?
If I change the length, will they work better? After brainstorming the variables of wind turbine blade design, groups choose one variable to isolate and test. The groups then present their data to the class in order for all to have the...
Mathed Up!
Solving Quadratics by Factorising
Young mathematicians view a video on solving quadratic equations by factoring. They use this skill to complete a activity of practice problems — a great way to gauge understanding!
Teach Engineering
Accelerometer: Centripetal Acceleration
Scholars build robotic arms that swing back and forth and use them to collect velocity and acceleration data. To analyze the results, pupils compare data to the equations for angular velocity and centripetal acceleration.
Teach Engineering
Discovering Relationships Between Side Length and Area
Consider the relationship between side length and area as an input-output function. Scholars create input-output tables for the area of squares to determine an equation in the first installment of a three-part unit. Ditto for the area of...
CK-12 Foundation
Vertical Translations: Vertical Shift of Sinusoidal Functions
Create a shift in TV viewing habits. The interactive presents a cosine model of an individual's TV viewing habits during a year. Class members move the model to reflect given conditions. Finally, they determine key features from the...
CK-12 Foundation
Function Rules based on Graphs: Making Money in the Hat Business
Hats off to those learning about the graphs of functions. Individuals use an interactive to plot points representing profits for a hat business. They identify a quadratic equation to represent this function and answer challenge questions...
Beyond Benign
Municipal Waste Generation
Statistically, waste may become a problem in the future if people do not take action. Using their knowledge of statistics and data representation, pupils take a look at the idea of waste generation. The four-part unit has class members...
Howard County Schools
Constant Rate Exploration
Question: What do rectangles and bathtub volume have in common? Answer: Linear equations. Learn how to identify situations that have constant rates by examining two different situations, one proportional and one not proportional.
PHET
Function Builder
Build confidence about functions with the function builder. Pupils learn about functions and transformations using an interactive. A function machine transforms pictures, numbers, and equations based on a function rule. A mystery...
Illustrative Mathematics
Measuring Blocks
Stack them together to get a measurement. The short activity has pupils work in pairs to measure the lengths of two blocks and then determine the length of the two blocks together. The groups then determine an equation that represents...
Pace University
Grades 9-10 Algebra: Graphic Quadratics on the Coordinate Plane
Find quadratics in the world. Learners select ways to compare and contrast linear and quadratic functions and how to demonstrate knowledge of parabolas in the world. Teachers assign a third task challenging individuals to find equations...
CK-12 Foundation
Mental Math to Divide by Whole Number Powers of Ten: Mental Math to Divide Decimal Powers of Ten
Boost mental-math skills with an interactive that focuses on dividing whole numbers by powers of 10. Mathematicians solve five fill-in-the-blank and multiple-choice questions with help from a moveable decimal point in four example...
Radford University
Midsummer Classic’s Homerun Derby
Hit a home run with your lessons. A two-part activity has learners explore quadratic equations that model the path of a baseball. They see how changing the initial speed of the ball affects its maximum height, maximum horizontal...
Math Mammoth
Solving Quadratic Equations by Finding Square Roots
In this quadratic equation worksheet, students solve equations by identifying the square roots. They identify all possible solutions. Twenty problems are provided on this one-page worksheet.
Illustrative Mathematics
How Many Solutions?
Determining the number of solutions is an important stepping stone to higher math. In this case, the resource asks algebra pupils to find a second linear equation for a certain solution of a system. When one is asked for a linear...
Illustrative Mathematics
Growing Coffee
Ask your algebra learners to write an equation that has unit constraints. This commentary talks about the constraints, but does not show them in the equation. It is important that your mathematicians understand that the units apply to...
Illustrative Mathematics
Quinoa Pasta 1
Here is a great opportunity to introduce your mathematicians to a food they may never have heard of, quinoa. It may help to show a short video on quinoa, or make some quinoa for the class to try. Once they get over how to say quinoa,...