Everyone loves a good deal, and your mathematician's job is to calculate the original price when given the discount. A different type of problem than the traditional "find the percent change" has your learners working backwards to...

Give your mathematicians this set of data and have them create a dot plot, then find mean and median. They are asked to question the values of the mean and median and decide why they are not equal. Have learners write their answers or...

A complex question looking for the total cost of a stained glass window by calculating area and circumference of a circle. With detailed components, this activity will challenge your designers to figure out if they have enough money to...

Your mathematician's job is to explore the relationship between hours and miles walked during a walk-a-thon. The activity compels your learners to experiment with different means in finding out this proportional relationship. The answer...

Who knew that the Egyptian, Julian, and Gregorian year were different lengths? Your mathematicians will! They will have to calculate the difference between the years in seconds and find the percent change. Using dimensional analysis,...

When the membership in a chess club changes, it is your mathematicians' job to find out how many boys and girls are attending and the percent change from last year. The activity provides a great compound problem finding the different...

A quick activity to test your learners' knowledge of percent increase. When an electronic store needs a 30% increase in computer sales, your mathematicians must calculate how many computers they need to sell next month.

Mathematicians practice communicating why the sum of two multiples of a number results in another multiple of that number. Encourage learners to construct a viable argument by applying the distributive property or by drawing a diagram....

Help your learners understand how to divide fractions with this visual activity. They first answer a simple inequality before dividing the fractions. Two solution choices are given to help your mathematicians understand how to solve "how...

Comparing college football teams, Division I is said to have heavier lineman than Division III. Your mathematicians are given data from two different divisions and will have to interpret a dotplot and calculate the difference in weight...

Extend your class's ability to represent unit fractions on a number line with this challenging worksheet. Given two number lines, one labeled with zero and 1/4, the other with zero and 5/3, students must accurately locate the number one...

This short problem with representing fractions on a number line is more than meets the eye. Labeled only with the numbers zero and 1/4, a number line is used to locate the fraction 2/3. A solution can be found in multiple ways, but young...

Have your class demonstrate their ability to compare fractions with this short multiple-choice assessment. Using the fractions 9/8 and 9/4, the students first make comparisons using both words and the greater than/less than signs. Next,...

Supplement your lesson on improper fractions with this simple resource. Working on number lines labeled with whole numbers between 0 and 5, young mathematicians represent basic improper fractions with halves and thirds. The fractions...

Mathematicians show their understanding of a division problem. If a student can apply long division to a pair of numbers and determine a quotient, what other factors and multiples become apparent? The example illustrates a simple...

This is an opportunity for young mathematicians to apply reasoning to solve real-world problems with ratios. Even though there are three candidates for class president, students will only consider two at a time, making the first problem...

The objective of this activity is to find the percent of the area of a two squares overlapping. Mathematicians find the ratio of area for the part that overlaps to the rectangle formed. The final answer is a percent as a rate per 100....

Is that a right triangle or a wrong triangle? Young mathematicians look at eleven different shapes and use a measuring tool of their choice to determine which triangles have right angles. Consider cutting out sets of the shapes to...

What better way to learn about fractions than with a couple pizzas? Help Jessica figure out how much of the pizza she has eaten, while teaching your class that fractions refer to a specific whole amount. This problem will be challenging...

Explore how lines of symmetry help define different categories of quadrilaterals. Looking at a square, rectangle, trapezoid, and parallelogram, young mathematicians discover that each shape has its own, unique symmetry. Encourage your...

Identifying patterns is a crucial skill for all mathematicians, young and old. Explore the multiplication table with your class, using patterns and symmetry to teach about square numbers, prime numbers, and the commutative and identity...

Visual models are a great tool for demonstrating the concept of equivalent fractions. Given two pictures, young mathematicians first identify each fraction and then write an explanation for why they are equivalent. Use as a guided...

Help mathematicians see that a formula found in a physics book has an algebraic structure. Though the formula given in the resource looks complicated, learners are to break down the expressions and interpret each part separately. Young...

Developing fluency with basic addition and subtraction is fundamental to the success of all young mathematicians. This four-day lesson series begins with learners using ten-frames and hundreds charts to recognize patterns when adding and...