As penguins jump off of an iceberg, young mathematicians count the remaining penguins in order to discover the whole number subtraction answer. As they work through the questions, they can manipulate the red dot to add and subtract more...

Examine the connection between rational functions and their graphs. Individuals use an online manipulative to sort equations with horizontal and oblique asymptotes. They focus on the degree of the numerator and denominator.

Build a foundational understanding of exponent patterns. Young scholars manipulate the bases of exponent expressions. They discover the meaning of negative exponents through their exploration.

Explore the connection between fractions and rational expressions. Young scholars manipulate fractions with unlike denominators to find a total. Challenge questions allow them to check their work to ensure they are correct.

Watch the exponent expression do the negative exponent dance! An interactive lesson uses an animation to show how negative exponents become positive. Learners manipulate the expression and then respond to conceptual questions.

Compare fraction models to fractions on a number line in an interactive that uses pumpkin pies as the model. Pupils look at pumpkin pie models to determine their improper fraction value. They use their knowledge to answer five questions...

How does the equation of a function reflect translations? Scholars manipulate the starting point of the parent square root function before determining the new equations that result from the translations. Class members also determine the...

A basic set-up leads to a surprisingly complex analysis in this variation on the question of surrounding a central circle with a ring of touching circles. Useful for putting trigonometric functions in a physical context, as well as...

Frequently found in biology and economic application problems, exponential equations show up as stars in this introductory presentation. Taking no background or knowledge of exponentials for granted, the slides walk learners...

Add a twist to the practice of simplifying expressions. The task asks scholars to decode a mathematical puzzle using their knowledge of expressions. If they are able to write and simplify the expression, the mathematics behind the puzzle...

Weight is a function of the distance from sea level. Learners explore the many implications of this fact in an inquiry-based task. Given the function, pupils answer questions before manipulating the function to rewrite the distance...

Maximize a profit with an understanding of geometric dimension. A real-world task challenges learners to design a pattern using three different brick shapes. The bricks are dedicated with a different donation for each shape, so part of...

Your geometry learners will appreciate this net for a square pyramid. Copy, cut, and manipulate to explore the surface area or volume of a square pyramid.

Students are introduced to the concept of using manipulatives when working with fractions in real life situations. In this using manipulative with fractions lesson, students make connections about when manipulatives aid in...

Students use manipulatives to establish quantity. By singing a song titled "Five Little Cookies," students determine which strategy to use to find out how many cookies are left in the bakery shop.

Read a tale for your class as they unravel patterns presented in the story using manipulatives. Pause to allow time for discussion and explanation of solutions throughout the story. They write equations or expressions with order of...

Young scholars study story problems and learn how to find and justify their answers. They will use a story problem and then respond to the prompt questions from the teacher. They must add and subtract facts to 6 and learn how to justify...

This is a great lesson from start to finish. With partners and on their own, learners write and solve linear equations and inequalities. They use manipulatives, group work, and an included worksheet to make magic with their problem...

Middle schoolers study the triangle inequality. They will identify, compare, and analyze attributes of two and three-dimensional shapes. Then they develop vocabulary to describe the attributes. They also use manipulatives to analyze the...

Learners use manipulatives to study shapes. They sort shapes and use correct geometric terminology to describe them. Students find real-life examples of 2 and 3 dimensional shapes, and classify figures in their classroom according to...

Elementary schoolers determine the attributes of prime and composite numbers. Pupils, working in pairs, participate in an activity in which they use manipulatives to show the rectangles that can be made from square tiles. They practice...

Students solve the mystery of dead Mr. Potato Head using physics and algebra. They discuss Newton's Law of cooling as it applies to the mystery scenario involving a cooling baked potato as the "victim". They manipulate algebraic...

Fourth graders use manipulatives to practice math patterns.

In this math worksheet, students reinforce addition and subtraction facts 0 to 12 by collaborating in a fishing game. Students fish for numbers with a magnet and create a math sentence, flipping a coin to determine the operation used....