EngageNY
Between-Figure and Within-Figure Ratios
Tie the unit together and see concepts click in your young mathematicians' minds. Scholars apply the properties of similar triangles to find heights of objects. They concentrate on the proportions built with known measures and solve to...
EngageNY
Ratios of Fractions and Their Unit Rates 2
Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of...
Illustrative Mathematics
The Escalator, Assessment Variation
A great way to practice with unit rates, the activity gives your mathematicians an opportunity to compare different statements and select which are true. They can practice with "choose all that apply" by setting each statement into its...
Willow Tree
Perimeter of Common Geometric Figures
Help learners understand that perimeter and circumference are one in the same. Learners apply their skills to determine the perimeter/circumference of triangles, rectangles, and circles. They then use the same strategy to find the...
Curated OER
Proportional Problems 1
Eighth graders explore representing fractions as ratios and proportions. They model proportions through the use of blocks, LEGO gears and activities with bicycle gears and pedals. Students work with bicycle gear boxes to observe and...
Curated OER
What's Math Got To Do With It?
Students explore numbers, computation, ratios, proportions, probabilities, statistics, and money in this six lessons unit. Practical applications in the real world are emphasized through an interactive approach to math in these lessons.
Curated OER
Punch Mix-up
Fifth graders discuss the relationship between equivalent fractions, ratios, and proportions. For this fraction lesson, 5th graders answer questions about a punch mixture in order to find the ratio of ingredients.
Curated OER
Golden Connections
Young scholars determine the ratio of pairs of consecutive terms in the Fibonacci Sequence. Using four different colors, they create a golden rectangle in either two or three dimensions. They use photographs to create two collages...
Curated OER
Sequences, Counting and Probability - Week 4
In this sequence worksheet, young scholars complete problems involving geometric sequences. They identify the nth term in a sequence. Students explore various positions in the Fibonacci sequence. This two-page worksheet contains eight...
Curated OER
Size Small School
Middle schoolers explore the concept of scale and ratio. In this scale and ratio lesson, students work in groups to measure a given space such as a hallway, office, or gym. Middle schoolers measure their area using a meter...
Curated OER
Altitude Locator
Young scholars use protractors, strings, and straws to construct a device used to determine the height of tall objects. In this applied geometry lesson, students use common objects to construct a tangent height guide. They use principles...
Curated OER
Rational Equations
In this rational equations activity, 9th graders solve 10 different problems that include various forms of rational equations. First, they determine the least common denominator in each equation. Then, students compare numerators and...
National Research Center for Career and Technical Education
Health Science: Back to Basics
This lesson focuses on unit conversion, proportions, ratios, exponents, and the metric system. Discuss measurement with your math class and demonstrate how to solve several health-science word problems. Give learners a chance to visit an...
Illustrative Mathematics
Finding a 10% increase
A quick problem to test your mathematicians' knowledge on percent increase. Two different solutions are provided, mental math and computing. Ask your learners to include a description of what they did to supplement their answer.
Illustrative Mathematics
Converting Square Units
Jada has a rectangle board that is measured in inches. Young learners confirm their understanding of converting inches to feet. Then they find the area in square feet. Jada thinks she has a short-cut to convert inches square to square...
Curated OER
Adding and Subtracting Fractions and Mixed Numbers
Elementary schoolers participate with their teacher's instruction to learn to add and subtract fractions and mixed numbers. They use fraction strips to complete addition and subtraction problems. A step-by-step script is provided to help...
Texas State Energy Conservation Office
Power Systems & Efficiency
Are you looking for a reading resource about the efficiency of power systems? Here is one that introduces the output/input ratio, measurement of energy by joules or calories, and efficiency ratings. For STEM classes that are learning...
Curated OER
The Two Circles Problem
In this area of a circle learning exercise, students determine the ratio of common area when two circles overlap and each passes through the center of the other. A detailed sollution is included.
Curated OER
Arithmetic and Geometric Sequences and Series
In this arithmetic and geometric sequences and series instructional activity, 7th graders solve and complete 10 different sets of numbers. First, they determine the common difference in each set of numbers. Then, students subtract a pair...
Mathematics Assessment Project
Sharing Costs Equitably: Traveling to School
Drive or take the school bus? Class members determine the amount each student would have to pay in a carpool situation. They then evaluate the cost in a set of provided examples. I think I'd rather take the school...
Mathematics Assessment Project
Optimizing Coverage: Security Cameras
Are you being watched? Class members determine where to place security cameras protecting a shop. They then evaluate their own and several provided solutions.
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Claim 4
Build the model right out of the box. A few sample items show teachers how Smarter Balanced assessments may approach Claim 4, modeling and data analysis. Pupils use their skills to create equations or expressions to model the situation...
Yummy Math
US Holiday Candy Sales
Candy is a big business! Calculate the amount of money consumers spent on major holidays—Easter, Halloween, Christmas, Hanukkah, and Valentine's Day—based on the total amount of candy sales from 2011 and the percentage of each holiday's...
EngageNY
Multi-Step Problems—All Operations
Harness the power of algebra to solve problems. Young mathematicians learn to work out multi-step problems by applying algebraic techniques, such as solving equations and proportions. They use tape diagrams to model the problem to finish...