Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...

When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet that engages scholars to properly label line graphs. It then requests two applied reasoning answers.

Welcome learners to the world of algebra. Use a lesson that poses a situation involving the profit from creating greeting cards to teach about algebra. It requires scholars to use linear functions and inequalities to solve problems.

Scholars first complete an individual assignment using a quadratic equation to model the movement of a bus around a corner. Learners then discuss their solutions with classmates and analyze the provided sample responses.

Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations,...

How do you know if a number is divisible? Instructors first prove the divisibility rules for three and four and then class members use this modeling to prove given divisibility rules for eight and nine either individually or in...

During this hands-on activity, young chemists build molecular models based on the Lewis dot structure before studying valence shell electron pair repulsion theory. 

Students recognize different consumer products, found in and around the home, that have reactive or denaturing properties when used together. They explore chemical and physical properties of each product by identifying chemical formulas...

Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and  plot width v. area on a...

Introduce the inverse matrix method to solve systems of linear equations both algebraically and graphically. Using given data, your class checks their answers with graphing calculators. Handouts are included in this well-thought out lesson.

Engage young mathematicians in applying their knowledge of area and perimeter with a fun geometry lesson. Through a series of problem solving exercises, children use their math knowledge to design different-sized garden...

Lost an electron? You should keep an ion them. Young chemists learn qualitative analysis in the second lesson of an 11-part chemistry series. After observing reactions of simple salts, the teacher provides pupils with unknown...

At some point, everyone has been under pressure—even Dalton! Explore Dalton's law of partial pressures with young chemists as they measure the volume of air extracted from a sample compared to its original volume. Class...

Wouldn't it be great to work in a candy factory? Learners get their chance as they first design a carton for a candy that meets certain requirements. They then examine and analyze nets and explanations in sample student responses.

Connect the size of a rolling cup to the size of circle it makes. Pupils view videos of cups of different sizes rolling in a circle. Using the videos and additional data, they attempt to determine a relationship between cup...

Students solve systems of 2-by-2 linear equations using tables, graphs and substitution. In small groups, classmates work together to discover strategies for solving equations. They use a calculator to graphically represent their answers.

Eighth graders extend skills for representing and solving linear equations to linear inequalities. Lesson activities build understanding and skill by plotting ordered pairs of numbers that either satisfy or do not satisfy a given...

Seventh graders examine currency rates. For this exchange rate lesson, 7th graders visit selected websites to determine the exchange rates between specified currencies.

Young scholars solve and graph linear equations. In this algebra instructional activity, students collect data and plot it to create a linear function. They identify the domain and range of each line.

How do you solve linear equations? Learn how to solve simple linear equations by applying properties of equality in this instructional slideshow. The materials include step-by-step instructions and key concepts to support understanding.

Use a activity to go over the basic concepts of relations and functions. Included are clear definitions and examples of relations, domain and range, and functions and the vertical line test.  However, the problems are pretty...

Is it possible to solve quadratic equations by factoring? It is, and your class will graph quadratic equation and functions too. They perform transformation on their graphs showing increasing and decreasing intervals, domain, and range....

High schooler math students review operations and solve linear equations using manipulatives--squares, cubes, circles, and cups. They transfer the operations performed on the manipulatives in equation form.

Students make equations from everyday data. They create a graph from the equations. Students predict and analyze the results. Students complete the second scenario on their own and turn in their handout.