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. 

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...

Learn how to identify equivalent fractions by using divisors. After reading and discussing the skill, young mathematicians solve two problems using visual fraction models, and then solve eight equivalent fraction problems...

After reading a one-page passage on how to understand and solve distance/rate problems, young mathematicians answer six word problems that have them correctly set up the formula in order to solve for the distnace, rate, or time in the...

Discover how algebra tiles help evaluate expressions. Scholars learn to use algebra tiles to substitute values in for variables and evaluate expressions. The included worksheet contains a set of evaluation problems to assess individuals'...

Translate, evaluate, educate. Discover how to translate and evaluate expressions. Young mathematicians first review words and phrases that indicate operations and learn to write algebraic expressions from verbal descriptions....

Learners review how to use the completing-the-square method to identify maximum and minimum values of a quadratic function by watching a video. They see how the vertex form relates to the extreme values of a quadratic function, and use...

Scholars learn how to write number theory proofs by viewing a video reviewing techniques for proofs on divisibility, parity, and consecutive integers. They then write proofs for a handful of conjectures on a worksheet.

Young mathematicians learn how to solve problems involving stratified sampling. They review concepts of sampling and proportionality by watching a video and then they complete a instructional activity of questions on this topic.

Young mathematicians connect vectors to geometric shapes by watching a video that expresses vectors in relation to the sides of geometric figures. They then apply what they learned by completing a worksheet of practice questions.

Viewers learn how to apply proportional reasoning to find area of sectors and arc lengths with a video that starts off explaining how to find the areas of circle sectors and the lengths of arcs. Scholars then practice solving problems...

Creating a definition may be easier than it sounds! Give your classes experience creating their own definition. Scholars examine the meaning of the compact-ness of a scatter plot and create their own definitions based on measurements. 

Develop a solid understanding of the manipulation of expressions to produce equivalent expressions. Given an expression, pupils rearrange it to create a new one. Their new functions must match the structure of the model expressions.

Learn the importance of geometry to tailors. Given a shirt sewing pattern, scholars determine the actual size of the shirt. After which they answer questions that require problem solving and extending their understanding of scale.

Apply concepts of scale and ratio to determine relationships in irregular figures. Learners determine the ratio of the perimeters of two figures composed of rectangles and circles. After, they apply similar concepts to find the ratio of...

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