Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of...

Young mathematicians practice their reasoning as well as adding and subtracting skills with this worksheet that includes five simple word problems about birthdays. Learners are give pictures of birthday cakes and based on the number of...

Test your pupils' reasoning skills with several activities and a quick mystery to solve. Learners watch and analyze a few video clips that demonstrate reasoning in action, practice deduction with an interactive and collaborative...

Do these items have the same ratio? Through a learning contract, pupils master proportions by practicing proportions via word problems, graphs, and with manipulatives. An exit ticket checks for understanding at the end of the...

Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of...

The brother-sister pair Carlos and Clarita need your class's help in developing their new pet sitting business. Through a variety of scenarios and concerns presented to the siblings, the learners thoroughly explore systems of equations...

Common Core is all about getting your learners to open their minds and think about the why and how. This problem has them thinking about unknown numbers and their relationship with one another when we round and...

Conduct research on the Internet about labyrinths and mazes to learn about proportions and ratios. Inquisitive minds design their own maze, one maze is chosen and proportionately enlarged to 20 feet by 30 feet. This is a fun challenge...

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...

Does the explanation make sense? Sample items highlight claim three, communicating reason, in the Smarter Balanced assessments. Teachers use the 16 items to help show pupils the importance of communication and reasoning within...

Your class may believe that geometry is a trial, but they don't know how right they are. A thorough math lesson combines the laws of logic with the laws of geometry. As high schoolers review the work of historical mathematicians and...

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...

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. 

If there is a conditional statement, then there is a hypothesis and conclusion. Pupils learn how to identify the parts of conditional statements. Class members continue to work with conditional statements and rewrite them in their many...

Playing with mathematics can invoke curiosity and excitement. As pupils construct triangles with given criteria, they determine the necessary requirements to support similarity. After determining the criteria, they practice...

Examine the origin and application of pi in five different levels. The five lessons in the resource begin with an analysis of the relationship between the radius and circumference of a circle. The following lessons lead learners through...

Extend young mathematicians' understanding of area with a geometry lesson on trapezoids. Building on their prior knowledge of rectangles and triangles, students learn how to calculate the area of trapezoids and other...

Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...

Pattern recognition is a very important skill to foster in younger children. It helps boost algebraic reasoning, logical reasoning, and mathematical reasoning skills. Here are 11 different shape patterns for learners to complete. They...

Teach your readers to be critical thinkers. A strategy is outlined that can be used to compare and contrast entities. An example lists four states. The learner removes one state that "does not belong" in the list for some reason, and...

Practice basic operations for young mathematicians in fun ways! Using two decks of cards (Ace through 10 plus the joker), learners play "memory" by matching numbers that can be added to make 10 and writing number sentences. In another...

In this mathematical reasoning worksheet, 1st graders are shown shapes named with the nonsense terms of Delps and Googles. They circle shapes with similar characteristics.

Is there a way to connect creative thinking, logical reasoning, mathematical understanding, and humor? You bet there is! Kids begin by creating creative math quizzes, which require creative thinking to solve. For example, 1+1=24, one...