Illustrative Mathematics
Introduction to Linear Functions
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...
Illustrative Mathematics
Converting Decimal Representations of Rational Numbers to Fraction Representations
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of...
Illustrative Mathematics
The Napping House
How many people and animals can cram into a single bed? Find out with this cross-curricular math and language arts lesson. Following along with a reading of the children's book The Napping House by Audrey Wood, young mathematicians...
Statistics Education Web
NFL Quarterback Salaries
Use statistics to decide if NFL quarterbacks earn their salaries! Learners study correlation coefficients after using technology to calculate regression equations. Through the data, they learn the meaning of correlation and correlation...
Illustrative Mathematics
How Many Tenths and Hundredths?
Four hundredths + one tenth = 14 hundredths. Learners complete place order equations in order to make each equation true. Hundredth and tenths are the focus of the learning exercise.
Mathematics Vision Project
Module 1: Sequences
Sequences are all about recognizing patterns. A module of 11 lessons builds pupils' understanding of sequences through pattern analysis. The practice connects the analysis to linear and exponential equations. This is the first module in...
Curated OER
Linear and Quadratic System
Learners find the common point of a linear and quadratic system given a graph of the system. Then they find a specific point located only on the parabola.
Curated OER
The Canoe Trip, Variation 2
The behavior of a rational function near a vertical asymptote is the focus around this trip up a river. Specifically, numerical and graphical understanding is studied. The canoe context pushes the variables as numbers, rather than as...
Curated OER
US Households
Learners construct and use inverse functions to model a real-world context. They use the inverse function to interpolate a data point.
Curated OER
Doubling Your Money
Your young financial geniuses explore the Rule of 70 as they analyze the exponential function that models the doubling time of investments.
Teach Engineering
Balsa Glider Competition
Change one variable and try again. Teams build basic balsa gliders and collect data on their flight distances and times. Through collaboration, the team decides on two modifications to make to the basic design and collect data for the...
Teach Engineering
Equal and Opposite Thrust in Aircraft: You're a Pushover!
It's the law—every action requires a reaction, no matter how small. Pupils experience two demonstrations of Newton's third law of motion as it relates to thrust in the 10th segment of a 22-part unit on flight. Using their mathematical...
Teach Engineering
Windy Tunnel
Lift—it is about the wing's attack. Using a virtual wind tunnel, pupils investigate wing shape and angle of attack. Learners use worksheets to record their observations and to convert verbal relationships into mathematical equations in...
EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
EngageNY
Analyzing a Graph
Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents.
Teach Engineering
Above-Ground Storage Tank Design Project
The challenge: determine whether a tank will float. A design activity has groups work as engineering teams in order to determine the stability of given tanks and liquid contents. The teams need to determine the equations to...
Teach Engineering
Matching the Motion
It is not always easy to walk the straight and narrow. In the sixth portion of a nine-part unit, groups actively recreate a graph depicting motion. Individuals walk toward or away from a motion detector while trying to match a given...
EngageNY
Modeling Linear Relationships
Math modeling is made easy with the first installment of a 16-part module that teaches pupils to model real-world situations as linear relationships. They create graphs, tables of values, and equations given verbal descriptions.
Beyond Benign
Green"er" Precipitation Reaction
All sodium carbonate may not have the same amount of carbonate, but it should have the same percent. Learners write and balance an equation to predict the chemical reaction between sodium carbonate and zinc acetate. Through the lab...
K12 Reader
The Product-Quotient Connection
How are multiplication and division connected? Read a passage about inverse operations to find out how you can use products and quotients to check your work when completing an equation from the opposite operation.
Curated OER
Odd or Even
Children are told that an odd number is one that does not have a partner and an even number is one that has a partner. It's not the way I would explain it, but no matter, the activity and worksheet are still good. Children analyze...
Illustrative Mathematics
Reasoning about Multiplication and Division and Place Value, Part 2
The learner puts reasoning and estimation to work. The directions are to place a decimal in the answer to make the equation true. Pupils are to look at the two problems, one multiplication and one division, and estimate an answer. No...
Illustrative Mathematics
Finding an Unknown Angle
Teach your class how to apply their knowledge of geometry as they explore the unknown. In order to find an unknown angle, students must understand that rectangles have four interior right angles, that right angles have 90 degrees, and...
Houghton Mifflin Harcourt
Sushi Monster
These monsters are hungry for sushi and it's your job to feed them. Complete addition and multiplication equations to satisfy their needs while developing math fluency.