Illustrative Mathematics
Proportional Relationships, Lines, and Linear Equations
The resource is a good introduction to what makes a proportional relationship between two lines. Discuss the similarities of both lines and the possibility of intersection. Use this opportunity to list other acceptable forms of each...
Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
Curated OER
Solar Kit Lesson # 12 - Calibration Curve for a Radiation Meter
Scientists need to have mastered algebraic slope-intercept concepts in order for this lesson to be effective. They will measure and graph solar panel output as a function of the amount of radiation striking it, discovering that there is...
Illustrative Mathematics
Chicken and Steak, Variation 2
Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...
Illustrative Mathematics
Who Has the Best Job?
Making money is important to teenagers. It is up to your apprentices to determine how much two wage earners make with their after school jobs. Participants work with a table, an equation, and a graph and compare the two workers to see...
Illustrative Mathematics
Find the Change
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
Illinois State Board of Education
Is It Linear?
Math apprentices are introduced to the components of a linear relationship. In groups, they write story problems that incorporate this relationship and relates to the real world. They give their problem to the class for them to solve.
Illustrative Mathematics
Tides
A very simple example of a functional relationship between depth of water and time is shown here. In fact, it might be more useful to use a coastal tide book to better illustrate this real-world experience. Pupils are to count the number...
Curated OER
Relationship of Angles
For this angles worksheet, students write the relationship of angle one and two in each case shown. Then, they identify whether they are corresponding, alternate interior, alternate exterior or co-interior angles on the line provided.
Willow Tree
Parallel and Perpendicular Lines
Enhance your class's understanding of linear equations by extending their study to parallel and perpendicular lines. Young mathematicians learn the relationship between the slopes of parallel and perpendicular lines. They then use that...
Illustrative Mathematics
Sum of Angles in a Polygon
How can learners use algebra to solve a geometry problem? Help learners create an equation that shows the relationship between the number of sides of a polygon and the sum of the interior angles. Students are asked to divide the...
Charleston School District
Constructing Dilations
Pupils multiply the vertical and horizontal distances from the center of dilation by the scale factor. The independent practice prompts the class to analyze the relationship between the image and pre-image. The lesson is part three in a...
Curated OER
Discovering the Linear Relationship between Celsius and Fahrenheit
Students discover the linear relationship between degrees Farenheit and degrees Celsius. They manually compute the slope and y-intercept of the line passing through points. They convert Celsius to Fahrenheit degrees.
Curated OER
The Relationship Between Slope and Perpendicular Lines
In this perpendicular lines worksheet, students explore the relationship between perpendicular lines and slope in eight exercises and two worked examples. The solutions are provided.
Curated OER
A Special Relationship
Students discover the relationships of the lengths of the sides of right triangles and right triangles using a series of drawings on dot paper. They investigate and solve problems of standard (customary and metric units) and non-standard...
Illustrative Mathematics
Equations of Lines
The intent of this resource is to show algebra learners that there is a proportional relationship between two lines that have an intersecting point. As the coordinate x increases by a constant, the y coordinate also increases. It will...
Curated OER
What is the Importance of Developing Job Skills?
Financial literacy is the way to teach! The class works in small groups to discover the relationship between education and income level. They use their math and problem-solving skills to complete two different activities. They work out a...
Curated OER
How Big Is That Star?
Aspiring astronomers study stars. They compare stars and explain the relationship between radius, mass, and diameter. By creating a star simulation, they discover how a binary star system's orbit can cause changes in the observed...
Curated OER
Regular Coke vs. Diet Coke: Which is Denser?
Learners define the terms "mass," "volume," and "density." The relationship between these three terms is established. They observe the differences between Regular and Diet Coke. They develop an hypotheses about why a can of Regular Coke...
Illustrative Mathematics
Bike Race
A graph not only tells us who won the bike race, but also what happened during the race. Use this resource to help learners understand graphs. The commentary suggests waiting until the end of the year to introduce this topic, but why...
Texas Instruments
Is It or Isn't It Proportional
How can you tell if number relationships are proportional? Mathematicians investigate proportional relationships. They compare and contrast functions and graphs to determine the characteristics of proportional relationships, as well as...
Curated OER
Walking the Plank
This is a cool math activity. Kids collect and interpret data based on a physical act. A board is balanced between a scale and a step, learners record a peer's weight as it decreases while s/he walks further away from the scale. They...
Curated OER
Conversions - Decimals to Fractions and Fractions to Decimals
One of the trickiest areas of mathematics for youngsters is the relationship between fractions, decimals, and percents. In this impressive presentation, learners get coached on how to convert between fractions and decimals, and vice...
Willow Tree
Linear Relationships
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
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