Up the difficulty level by solving a system of equations with variable coefficients. Young scholars devise a plan to solve for x and y in terms of a and b. They represent their solutions as expressions and explain their...

The object of this activity is to compute how far Rosa ran to school. Given in the exercise is the fractional number of miles between home and school and the fractional distance Rosa ran. The commentary shows several ways to have your...

Quickly get to the decimal point. The last assessment in a nine-part series requires scholars to work with decimals. Pupils compare the race times of several athletes and calculate how much they have improved over time. During the second...

Work with fractional cookies. The three-part assessment task checks the pupils' ability to find the product of fractions and whole numbers, mixed numbers, or fractions. Learners determine the amount of ingredients needed and how many of...

Make the cookies healthy. The assessment task asks pupils to determine the number of cookies they could make based on a given amount of ingredients. Given two sugar substitutes, learners determine which substitute would be better and...

Here's an assessment task that's better than watching a show. Young mathematicians solve word problems involving multiplication and division with equal groups. They must find the total number of attendees on a trip to a theater based on...

Take word problems one step further with apples, dimes, and bricks! After reading the word problems, first graders write out the subtraction sentence and solve the problems. For extra practice, bring in different items and have them...

In this absolute value equations instructional activity, students solve absolute-value equations and inequalities. They graph answers on a number line. This one-page instructional activity contains 34 problems.

Squares can be magic. Pupils use their knowledge of addition of positive and negative rational numbers to create a 3 X 3 magic square where the sums are 1. Scholars create addition and multiplication expressions with a set of rational...

In this density worksheet, high schoolers are given 11 problems and they determine the density of the substance, the mass of the substance or the volume. They write the equation they use to solve the problem, they show their work and...

Rumor has it exponential functions help solve problems! In a kingdom filled with rumors, young scholars must determine the speed a rumor spreads. The ultimate goal is to decide how many people must know the rumor for it to spread to the...

In this number sense and operations worksheet, learners solve 15 different types of problems that include reading number lines and solving inequalities. First, they write the scientific notation of various numbers given. Then, pupils...

Seventh grade math is so much fun! They solve 10 different problems that include using patterns to complete a table, describe the pattern, and identify the specific term in the pattern for each. Then they give a description of the...

Learners investigate the relationship between the Fahrenheit and Celsius temperature scales. Given two data points, they construct a linear function to describe the relationship, find the inverse of the function, and make observations...

What is absolute value? What is an absolute value function? Emerging mathematicians solve equations containing variables inside an absolute value sign.  They graph each function on a coordinate plane and identify the maximum and...

Explore the difference between stochastic and deterministic modeling through programming. First have the class write algorithms for relatively simple tasks using pseudocode. Use the Python 2.7 program app to simulate Mendel's Pea Pod...

Learners investigate why theoretical probability doesn't always match reality. The activity involves using Python 2.7 (or Sage) to set up a Bernoulli Trial. It also involves setting up a spreadsheet to simulate the Birthday Paradox....

What happens when you multiply an odd number by an odd number? Scholars find out as they focus on patterns and number attributes while solving 48 multiplication problems. The first set has them multiply two odd numbers and record what...

Kimi and Jordan have taken summer jobs to supplement their weekly allowances. Kimi earns more per hour than Jordan, but Jordan's weekly allowance is greater. This activity asks learners to determine how the incomes of the two workers...

Young scholars explore how to solve any quadratic equation with a video about the quadratic formula. They then use the quadratic formula to solve a set of quadratic equations.

In this algebra worksheet, students solve word problems by rewriting it as an equations and solving for the unknown. There are 4 questions with an answer key.

In this multi-step equation, learners solve for the unknown. Equations contain at least two operations, addition, subtraction and/or multiplication. Students use their algebra steps to solve 26 problems on the two pages. The remaining...

In this one-step equation worksheet, students solve simple one-step equations containing one variable. Equations contain both positive and negative integers. All four operations are used in this worksheet. Twenty-eight problems are...

In this algebraic fractions instructional activity, students solve and complete 20 different problems that include solving equations that contain algebraic fractions. First, they determine the common denominator in each and use the...