How much sugar is in one bottle? Pupils use double number line diagrams to determine the amount of sugar in a 1L bottle of cola. The teacher leads a discussion on ways that double number lines can be of assistance in solving a...

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...

Tenth graders investigate dilations and explore the dilation transformation before investigating the properties of a dilation using Cabri Jr. Young scholars extend the concept of dilatation to the coordinate plane.

And the beat goes on. The installment of the Math at the Core: Ratios series introduces time signatures in music. A musician shows the relationship between different types of musical beats. Working in pairs, classmates create beat...

Be an octave above the rest. A musician explains how to write music in different time signatures. An interesting resource continues to demonstrate ratios using the pitch of musical notes and hertz. Pupils use a pitch table and determine...

Bring on the lights! Using an interactive, characters try to figure out how to light a skate park by examining area and ratios to determine the number of solar panels needed to power them. Pupils design a house with a roof to hold solar...

The star of the show is ratios. The informative resource explains how to transpose music using ratios. Individuals transpose the song "Twinkle, Twinkle" in the activity by applying their ratio skills. The activity challenges class...

Climb up the staircase of engineering knowledge. After watching a video of a carpenter measuring out steps for a set of stairs, pupils learn about the terminology and regulations involving stairs. They see how to use a rule of thumb when...

A watched printer never finishes—or does it? Engage your classes in a ratio and proportion task that asks them to predict how long it takes to print the numbers one through 88 on 88 sheets of paper. They use video to determine the rate...

You don't want to leave any learners stranded! Explore ratios using an analysis of gas mileage and distance. Given a scenario, individuals must determine if a car has enough gas to make it to the next gas stop.

The product of the hard work is learning. Scholars use a simulation tool to collect information to analyze. They must decide when two ships traveling back and forth across a river at different rates will meet on the same side. The intent...

Depending on your eating habits, you just may not want to know the answer to the inquiry-based question! The task is to determine the number of sugar packets in one 20-ounce soda. Learners use nutritional information from the sugar and...

And he's ... safe? ... out? It's up to your scholars to decide! Provided with the speed of the runner and ball, learners develop a plan to determine which reaches the base first, the ball or the runner. While the distance from home to...

A dripping faucet may be enough to drive you crazy, but it also teaches you a little about ratios. Presented with the volume of a sink and the rate the water is dripping, scholars must devise a plant to determine how long it will take...

Look at rates from a general perspective. The 17th part of a 29-part series provides problems that help pupils develop more general ratios from given rates. Scholars determine unit rates and ratios that are associated with given rates....

Represent ratios using a variety of methods. Classmates combine the representations of ratios previously learned with the coordinate plane. Using ratio tables, equations, double number lines, and ordered pairs to represent...

Changing ratios make for interesting problems. Pupils solve problems that involve ratios between two quantities that change. Groups use tape diagrams to represent and solve classroom exercises and share their solutions. 

Equivalent ratios show up on tape. Young mathematicians use tape diagrams to create equivalent ratios in the initial lesson on the topic. They learn the definition of equivalent ratios and use it to build others in the third segment of a...

Pupils continue the study of ratios by creating ratios from a context. The contexts present more than two quantities, and scholars create contexts that match given ratios. 

Which rate is greater and by how much? Pupils continue to compare rates to solve problems in the 20th portion of a 29-part series. Rates are presented in a variety of representations either using the same representation or different...

Develop the right station to solve rate word problems. The 18th lesson in a series of 29 starts by interpreting the aspects of rates with two different quantities. Pupils use the interpretation of rates to solve problems, and groups work...

Make all the ratio representations fit together. The 15th segment in a series of 29 presents ratio problems to solve. Scholars use a variety of representations to respond to the questions. The problem set has pupils show how the...

Build tables by understanding their structure. Scholars take a closer look at the structure of ratio tables in the 10th segment in a 29-part series. Individuals realize that the tables can be built using an additive or...

Ratios may not be created equal, but they are equivalent. Pupils learn the theorem relating equivalent ratios and equal values in the eighth segment in a series of 29. Classmates use the theorem to determine whether ratios within...