The 15th segment in a series of 22 uses examples that present proportional relationships with fractions. Pupils work through the problems and discover that the process is the same as it is with whole number values. Graphing the...

Twenty-one pieces of tagboard can lead your class to a greater understanding of integers when you use them to form a human number line. After creating this math tool, two strategies for adding and subtracting will have your...

Mathematical reasoning and linear systems are two of the strategies used to solve this number puzzle. Your learners will enjoy the challenge and the variety of ways to approach this challenge.

Scholars determine how long it takes to build a birdhouse with the second activity on using equations with proportional relationships. The resource uses examples such as birdhouse building and produce prices to encourage pupils to write...

Work together to find proportional relationships. The sixth portion of the 22-part unit is a collaborative exercise. Teams work with given representations of relationships and determine if they are proportional by creating tables and...

What do those points on the graph mean? The 10th instructional activity in a series of 22 presents proportional relationships as graphs. Class members interpret various points of the graph — including the origin — within the context of...

Introduce pupils to the two types of reasoning, inductive and deductive. Classmates work in pairs or small groups to learn the difference between the two and apply these reasonings to develop valid conclusions. 

Learners determine whether there is a constant multiple within the table through an instructional activity that presents a method for determining whether two quantities are proportional. Pupils analyze tables to determine if they...

Challenge the class to determine whether two quantities are proportional. The second activity in a unit of 22 has class members decide if two quantities have a proportional relationship. If a proportional relationship exists, the pupils...

Use the 20 Questions game to practice math vocabulary and number properties! Project a hundreds chart and hand one out to learners. Ideally, give them counters (beans would work well) to mark off the chart so you can play multiple times....

  Your archaeologists combine proportional reasoning with exponential functions in a real-life task centered on Carbon 14 dating.          

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...

Take young scholars on a trip through history with this unit on the mathematics and architecture of the Mayan civilization. Starting with a introduction to their base twenty number system and the symbols they used, this eight-lesson unit...

Use proportions to determine the travel distance in a given amount of time. The 10th installment in a series of 33 uses tables and descriptions to determine a person's constant speed. Using the constant speed, pupils write a linear...

Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the...

In critiquing someone else's theory, learners share insight into their own understanding of mathematical concepts. Fifth graders will explore the notion that products are always larger than their factors. While this statement is...

This turn-key unit on ratios and unit rates walks through a 30-lesson unit on teaching proportional reasoning, with each lesson broken into detailed teaching notes and time allotments for all parts. An unbelievable resource when taken...

Build up a bag of green. Pupils determine the number of green Skittles in a snack bag and come up with a way to determine how many snack bags it would take to create one bag of only green Skittles. Classmates share their methods and...

Not all relationships with a pattern are proportional. Show your class why in the fourth installment of a 22-part series. The lesson builds upon previous parts and has pupils analyze tables to determine whether they represent a...

Graph a relationship to find out if it is proportional. The instructional activity introduces the criteria for determining whether a relationship is a proportional relationship based on its graph. Pupils graph relationships and determine...

Use the constant of proportionality to relate the independent variable to the dependent variable. The eighth installment of a 22-part series instructs pupils to use the equation to find the constant of proportionality and then write the...

Pupils work several real-world problems that use percents in the 11th portion of a 20-part series. The problems contain percents involved with taxes, commissions, discounts, tips, fees, and interest. Scholars use the equations formed for...

Fibonacci numbers are not only found in the classroom but also in nature. Explore the concept of Fibonacci numbers through a series of lessons designed to gain insight into the mathematical reasoning behind the number pattern, and spark...

Connect your pupils to the problem by presenting a situation with which they can identify. Individuals analyze a graph of water use at a school by reasoning and making conclusions about the day. The lesson plan emphasizes units and...