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. 

Find a way to work with rates. The 23rd part in a 29-part series presents work problems for the class to solve given work rates. Pupils compare rates to determine which is faster. Some problems require learners to convert the rates to...

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...

What is the connection between equivalent ratios? Class members first find the multiplication factor used to create equivalent ratios. Next, they take that information to determine whether ratios are equivalent. The second lesson on...

Discover how trend lines can be useful in understanding relationships between variables with a lesson that covers how to informally fit a trend line to model a relationship given in a scatter plot. Scholars use the trend line to make...

Class members investigate relationships between two variables in the seventh installment of a 16-part module that teaches scholars how to find and describe patterns in scatter plots. Young mathematicians consider linear/nonlinear...

Scholars learn to create scatter plots and investigate any relationships that exists between the variables with a lesson that also show them that statistical relationships do not necessarily indicate a cause-and-effect...

The matrix — it's not just a movie. The lesson introduces the concept of 2 x 2 matrix multiplication as a way to represent linear transformations. Class members determine when a linear transformation represented as matrix...

Help your classes find the significance in this lesson! Learners analyze the probability of Diff values. They then determine if the difference is significant based on their probability of occurrence. 

It takes a lot of planning to achieve a random result! Learners compare results of random assignment, and conclude that random assignment allows results to be attributed to chance. They also realize the set of random means...

They say you can interpret statistics to say what you want them to. Teach your classes to recognize valid experimental results! Pupils analyze experiments and identify flaws in design or statistics. 

Communicating results is just as important as getting results! Learners create a poster to highlight their findings in the experiment conducted in the previous lesson in a 30-part series. The resource provides specific criteria and...

Challenge your classes to complete an experiment from beginning to end. Learners make their own hypotheses, collect and analyze their own data, and make their own conclusions. They are on their way to becoming statisticians! 

Pupils analyze group data to identify significant differences. They use simulation to create their own random assignment data for comparison. 

What are the chances? Teach your classes to answer this question using mathematics. The first part of a three-day lesson on determining significance differences in experimental data prompts learners to analyze the data by...

It's test time! Determine your class's understanding of the topics of volume and cross sections with a thorough assessment on volume, area, and geometric shapes.

What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...

Our teacher told us the formula had one-third, but why? Using manipulatives, classmates try to explain the volume formula for a pyramid. After constructing a cube with six congruent pyramids, pupils use scaling principles from...

Review the principles of scaling areas and draws a comparison to scaling volumes with a third dimensional measurement. The exercises continue with what happens to the volume if the dimensions are not multiplied by the same...

Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder.