National Council of Teachers of Mathematics
Math Challenge #23: Fractals
Young scholars explore the concepts of Sierpinski's triangle, ratios, and concentrations. In this exploratory lesson, students are given three problems to solve. Young scholars learn about Sierpinski's triangle, how to calculate mpg for...
Curated OER
Transformations and Matrices
There are four activities in this extensive instructional activity covering the identity matrix and scaling, the linear representation of translations, the linear representation of rotations, and reflections. In small groups, they use...
Centre for Innovation in Mathematics Teaching
Ratio and Proportion
Middle schoolers review the definition and rules for equivalent fractions. Additionally, they are introduced to equivalent ratios. They write examples of ratios from the board, and they come to the board to write the correct equivalent...
Curated OER
The Golden Students
Scholars view the video, "Donald Duck in Mathmagic Land," and discuss examples in nature which have proportions of the golden ratio. They measure and record different body lengths from a worksheet and convert the ratios to equivalent...
Curated OER
Ratios, Rates, Percent and Nutrition
Examine food labels to determine percentage of fat and sugar to total calories with middle schoolers. Daily nutritional guidelines are discussed and learners will decide how well their foods fit into a healthy diet. In the provided...
NTTI
If You Hopped Like a Frog
Get your frogs hopping by introducing them to the concepts of ratio and proportion. As a class, they perform arithmetic operations using ratios then discover how they represent quantitative relationships. In groups, they write their own...
Curated OER
Measure for Measure
Young mathematicians work to recognize the relationship between their scale models of the Joides research vessel and the real vessel. They calculate the relationships between various parts of the ship using fractions, ratios, and...
Curated OER
The Gear Game
Students discuss that the conservatin of energy states that the energy imput must equal the energy output. They then figure out how can a machine help you to perform task otherwise considered impossible? Students discuss the six simple...
Curated OER
Slope
A nicely put together basic introduction to slope. Slope is defined, and explained. The formula for calculating slope is shown and there are practice problems. There are questions about horizontal and vertical slope, as well as lines...
Curated OER
Who Wants to Be a Champion
Challenge your learners with this game focusing on problems involving ratios and calculating percentages. In this game, learners have to identify a ratio, convert ratios to a fraction, convert a percent to a fraction, and answer word...
Concord Consortium
Three Rubber Bands
Stretch your mind about triangles. Given a triangle, scholars consider a smaller triangle formed when they stretch three rubber bands from each vertex to the opposite side. They determine the ratios of the areas and perimeters of the...
101 Questions
Travel Times
It's just a sign of the times. Given a billboard with distances and travel times to two different interstate highway junctions, learners determine the speed limit. They must incorporate the concepts of distance, rate, and time with that...
Virginia Department of Education
Similar Solids and Proportional Reasoning
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
Science Friday
Make a Model of a Home Made From Shipping Containers
Build a scale model of a home built out of shipping containers. A hands-on activity has scholars watch a video about a home built from shipping containers and then design their own home. They build scale models of their designed homes...
Math Worksheets Land
Multistep Ratio and Percent Word Problems - Matching Worksheet
Increasing and decreasing values happen every day and your learners will be prepared after practicing this learning exercise. Show them how ratios are a convenient method to convert between values to get the answer they need. Resource...
Math Worksheets Land
Multistep Ratio and Percent Word Problems - Independent Practice Worksheet
Math in real life IS a thing and your learners can see how when they practice ratio word problems. Use the handy ratio to convert between measurements and figure out the answer when given a change of information. Resource also comes with...
Wake Forest University
Authentic Activities for Connecting Mathematics to the Real World
Check out the handout from a presentation that contains a collection of high school algebra projects connecting a variety of mathematics to the real world. Activities range from simple probabilities to calculus. The activities can be...
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...
Illustrative Mathematics
Computing Volume Progression 3
Learners are given a volume of a rectangular tank and are asked to find the water height. Because the total volume of the tank is given in liters, your geometers will need to use a unit ratio to convert to centimeters cubed. The exercise...
Illustrative Mathematics
Floor Plan
A multi-step problem has learners finding the actual area based on a scale drawing and then converting units at the end. Two different solution choices are listed depending on the preference on which step to start first. Both methods can...
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
Tax and Tip
Finding out how to calculate tax and tip is a valuable skill that all young adults should be able to do without a calculator. Learners are given a bill and asked to calculate the tax, tip, and total amount. Calculations can be exact or...
Curated OER
60-30-10
Learners use ratios and proportions to represent quantitative relationships as they investigate the concept of how percentages are used by designers. Students decorate the same room using three different percentages of colors.
Curated OER
Exploring Similarity Using Scale Drawings
Learners explore scale factor as they create a scale drawing of a box, then determine the surface area and volume of the original and the scale drawing. The one page worksheet contains activities and procedures with four questions.