Illustrative Mathematics
Ratio of Boys to Girls
How many boys are in the class? Here is an introductory exercise describing ratios. The commentary shows different ways learners can approach the problem, using a tape diagram of boys to girls and using a table. The activity includes...
Illustrative Mathematics
Price per Pound and Pounds per Dollar
Help learners understand the concept of unit rate as it is applied to buying beans at a grocery store. The objective is to determine the unit rate in two ways, and then apply each ratio to an additional problem. The attached commentary...
Illustrative Mathematics
Riding at a Constant Speed, Assessment Variation
Practice ratios and unit rates with tracking how long Lin took to ride her bike. Provided with different questions, your mathematicians can assemble their answers using a chart or setting up ratios. The activity is included in a set of...
Neufeld Learning Systems
Concept: Ratios and Proportions
Upper elementary and middle school pupils fill out a chart creating six equivalent fractions and then compare them to six different objects and/or shapes. They group together 16 various terms related to ratios and proportions. Pupils...
Illustrative Mathematics
Jim and Jesse's Money
Jim and Jesse started their road trip with the same amount of money. Your class must find the amount of money each one had given, the amount of money spent, and the ratio of money at the end. This is a comprehensive problem that takes...
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...
Illustrative Mathematics
Voting for Three, Variation 3
Get your learners to think outside the box. Young scholars require a good understanding of ratios and their relationship to fractions to complete the problem. The only quantities given in the problem are the ratio of the number of votes...
Illustrative Mathematics
Voting for Three, Variation 1
This is an opportunity for young mathematicians to apply reasoning to solve real-world problems with ratios. Even though there are three candidates for class president, students will only consider two at a time, making the first problem...
Illustrative Mathematics
Fruit Salad
Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...
Illustrative Mathematics
Overlapping Squares
The objective of this activity is to find the percent of the area of a two squares overlapping. Mathematicians find the ratio of area for the part that overlaps to the rectangle formed. The final answer is a percent as a rate per 100....
University of Las Vegas
Heart Rate and Physical Activity
What is heart rate? What is pulse? How do you find a heart rate by taking a pulse? What determines a person's heart rate? Will heart rate increase by doing some activity? Does exercising regularly strengthen the heart muscle? Take a look...
Illustrative Mathematics
Currency Exchange
Take your class on a North American adventure with a currency conversion problem. Pupils are asked to change US dollars into Canadian dollars and then to Mexican pesos. The commentary includes two solutions, converting by unit rates and...
Illustrative Mathematics
Buying Gas
A quick problem to test your middle schoolers' knowledge of dividing with decimals. Also a good practice of unit rates, they must compute the cost of one gallon of gas when given the total amount for a fill up. Can be used as a preface...
Alabama Learning Exchange
Comparing Fuel Economy
Compute fuel economy and gas mileage. Why? So you can teach rates and ratios, of course! Middle schoolers calculate the rate of miles per gallon for various vehicles. They research each vehicle, its mileage per gallon, and cost per...
Illustrative Mathematics
Anna in D.C.
The amount of tax and tip on a restaurant bill is a common example used in percent problems. Here, learners only know the total amount paid, and they need to figure the itemized amounts. Solutions using a ratio table, using knowledge of...
Curated OER
Pumped Up Gas Prices
Students calculate gas prices. In this transportation lesson plan, students tally the mileage and gas costs of their car for one months. They figure out how much was spent on gas and create a graph showing average gas prices over time.
Beacon Learning Center
Bowling Over the Order of Operations
Upper graders will solve equations using order of operations, and create equations that to play a fun math bowling game. They will bowl using dice to practice operations. Extensions are also included.
Curated OER
Math Journal: Functions and Coordinate Geometry
Fifth graders examine the many uses of coordinate grids. In this graphing lesson plan, 5th graders write data driven equations, discuss the x and y-axis, and determine if using 2 or 3 ordered pairs is better. Students complete several...
Curated OER
Water Conservation
Students explore types of water reserves. In this water conservation lesson, students brainstorm ways water are used in their homes. Students use a graduated cylinder to simulate the amount of water on Earth and the amount that humans use.
Curated OER
Laws of Motion
Students explore centrifugal and centripetal force. In this motion instructional activity, students expand on their knowledge of motion to study velocity, acceleration, and friction. Students examine multiple objects to demonstrate the...
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