Teach Engineering
Spring Away!
The last segment of the nine-part unit makes a connection between springs and linear equations. Groups hang weights from the spring and measure its length. Then, using the data collected, they calculate the slope to find the k-value...
Curated OER
Savings Planning Using Tables, Line Graphs and Early Proportionality
Students use proportional reasoning to make a chart of daily savings transactions and balances. In this accounting lesson, students read word problems and complete three handouts about a bidding and accounting problem. Students finish...
EngageNY
End-of-Module Assessment Task: Grade 7 Mathematics Module 4
Asses the class to determine their knowledge of proportional relationships involving percents. Class members work through the nine-question assessment with a variety of percent problems. The multi-step problems involve simple interest,...
EngageNY
Computing Actual Lengths from a Scale Drawing
Class members take scale drawings and examine scales to determine distances in the actual objects. Pupils convert the scales of different units to scale factors that can be used in proportional equations.
101 Questions
Square Partitions
Challenge your classes while developing their problem-solving skills. A square is divided neatly into four equal triangles by its diagonals until one diagonal is moved from a vertex to the midpoint of one side. Now, scholars must devise...
EngageNY
Multi-Step Ratio Problems
Use ratios to solve problems that are not proportions. The instructional activity has pupils solve multi-step ratio problems that involve fractional increases and decreases. The problems involve mark-ups, discounts, commissions, and...
Mathematics Assessment Project
Shelves
Don't leave this task on the shelf — use it is assess middle schoolers understanding of patterns. Participants try to discover a pattern in the number of bricks and planks used to make shelves. They then match descriptions...
Radford University
How Tall is the Tree?
Pairs or small groups work together to determine the height of a tree using similar triangles. Learners make a judgement which direction to let a tree fall to avoid hitting any structures. They then write letters to the principal...
101 Questions
Suitcase Circle
Analyze patterns in a circular arrangement. After using a geometric construction to complete a circle, learners use proportional reasoning to make predictions. By determining the length of an arc built from suitcases, they estimate the...
New Mexico State University
Bad Date
Get the best ratio for a good date. The class watches a video where dates are rated based on the ratio of words spoken. Pupils then use the ratios in the video along with other given ratios to find equivalent ratios. Finally, they...
EngageNY
End-of-Module Assessment Task: Grade 8 Module 4
Connect proportional linear equations and systems. The seven-question assessment is the last installment in a 33-part series. The items cover comparing proportional relationships, slope concepts, and simultaneous linear...
Intel
Pedal Power
Show your classes the importance of mathematics in something as simple as bicycle design. The final lesson in the six-part STEM series has each group research a different aspect of the bicycle. Learners use mathematical formulas, linear...
Curated OER
PLANETS IN PROPORTION
Students discover scales for both the solar bodies' relative sizes and their distances from the sun. They find equatorial circumference and volumes of their solar bodies. Students apply estimation strategies and proportioanl reasoning to...
EngageNY
Mid-Module Assessment Task: Grade 7 Mathematics Module 4
Assess the ability of the class to solve percent problems with an assessment that covers a variety of percent problems from basic to multi-step. Pupils make connections between percent problems and proportional thinking to complete...
Bowland
Royal Liver Clock
Using clocks as dining tables? Scholars estimate the number of people that can sit around the face of the clock on the Royal Liver Building in Liverpool. They use estimation to justify their responses.
EngageNY
Population Problems
Find the percent of the population that meets the criteria. The 17th segment of a 20-part unit presents problems that involve percents of a population. Pupils use tape diagrams to create equations to find the percents of subgroups...
Flipped Math
Calculus AB/BC - Modeling Situations with Differential Equations
Differentiate between models. Pupils watch as the video works through three examples of creating a differential equation to model a situation. Scholars use their knowledge of proportional relationships to set up the equations and to...
Illustrative Mathematics
Sand Under the Swing Set
Help the local elementary school fix their playground by calculating the amount of sand needed near the swing set. The problem practices setting up proportions and ratios with three different options for solving. You can chose the option...
Bowland
Fares Not Fair
What would be a fair fare for a taxi? to answer the questions requires young mathematicians to analyze data on fuel prices and taxi cab fares. They determine and justify a fair fare price.
Curated OER
Go Fish! Student Worksheet
A math and science worksheet prompts learners to simulate how scientists determine populations of animals out in the wild. They use goldfish crackers, paper bags, and a styrofoam cup as their tools. An excellent cooperative group activity!
Curated OER
Bagel Algebra
Ninth graders apply proportional reasoning to a real-life situation. In this Algebra I lesson, 9th graders explore a series of equations that relate to a display sign that compares the owner’s bagels to competitors bagels. ...
Curated OER
Blazing the Trail
Learning about proportions through measuring and mapping distances is the focus of this real-world math lesson that doubles as an activity. Mathematicians complete a course designed to measure and map locations in order to put the...
Curated OER
Proportionality Using Wind in the Willows
Students examine proportionality in Wind in the Willows by comparing Mr. Toad, objects proportional to him and objects proportional to humans. They then measure a stuffed Mr. Toad and make common objects proportional to Mr. Toad???s...
EngageNY
Families of Parallel Lines and the Circumference of the Earth
How do you fit a tape measure around the Earth? No need if you know a little geometry! Pupils begin by extending their understanding of the Side Splitter Theorem to a transversal cut by parallel lines. Once they identify the...