Identifying and verifying reproducible patterns in mathematics is an essential skill. Mathematicians identify the relationship of sides when an angle is bisected in a triangle. Once the pupils determine the relationship, they prove it to...

How do you find the lengths of items that cannot be directly measured? The 13th installment in a series of 16 has pupils use the similarity content learned in an earlier resource to solve real-world problems. Class members determine...

Determine whether two triangles are similar. The lesson presents opportunities for pupils to find the criterion needed to show that two triangles are similar. Scholars use the definition of similarity to find any missing side...

Challenge your classes while developing their problem-solving skills. A square is divided neatly into four equal triangles by its diagonals until one diagonal is moved from a vertex to the midpoint of one side. Now, scholars must devise...

Create a similar blueprint. The differentiated lesson has pupils work in teams to create a brochure, scale model, or blueprint of a selected house with some minor changes. Once finished, team members present their final projects to the...

The key to understanding is making connections. Scholars explore angle dilations using properties of parallel lines. At completion, pupils prove that angles of a dilation preserve their original measure. 

Why are right triangles so special? Pupils begin their study of right triangles by examining similar right triangles. Verifying through proofs, scholars recognize the three similar right triangles formed by drawing the altitude. Once...

Let's save some money! High schoolers investigate different options for price reductions. They then determine the best and worst sale from a list of options.

All sodium carbonate may not have the same amount of carbonate, but it should have the same percent. Learners write and balance an equation to predict the chemical reaction between sodium carbonate and zinc acetate. Through the lab...

What energy drinks have the highest concentration of caffeine? Pupils compare five energy drinks with different amounts of caffeine and different volumes. They must solve the ratios to understand the differences. An extension compares...

How many pennies can you save in a lifetime? One individual knows the answer! A video presentation of a question asks scholars to determine how many pennies a bank customer has saved since he was a teenager. They know the total weight of...

A dripping faucet may be enough to drive you crazy, but it also teaches you a little about ratios. Presented with the volume of a sink and the rate the water is dripping, scholars must devise a plant to determine how long it will take...

You don't want to leave any learners stranded! Explore ratios using an analysis of gas mileage and distance. Given a scenario, individuals must determine if a car has enough gas to make it to the next gas stop.

How fast are those thumbs? Pupils view a short video showing a person typing out a text message in a speed challenge. They use the information they can glean from the video to estimate the number of seconds it will take to completely...

Determine how far the ball rolled. The class watches a video of a person controlling a sphere rolling on the floor. Pupils develop some questions about the video and make estimates to the solutions of the questions. The teacher provides...

In this geometry instructional activity, students identify simple ratio and reduce to the simplest forms. They find the measure of missing sides and angles. There are 20 questions.

In this percentages worksheet, 6th graders solve and complete 13 various types of problems. First, they convert the percentages to fractions and simplify. Then, students convert the percentages to decimals. In addition, they find the...

Students determine the most equitable way to share space and cost between three schools for a fictional science fair. Given a diagram, a word problem, and a data set, students analyze and explain the best way for all schools to share...

In this ratio of similarity worksheet, 10th graders solve and complete 20 different problems that include defining the ratio of similarity in various figures. First, they determine the ratio of similarity for large and small pairs of...

Students are introduced to a problem involving an environmental issue. They are introduced to the capture-recapture method which involves capturing fish, tagging them, returning them and recapturing another sample. Pupils work in...

Students create their own pizza, "order" it from the Internet, and see digitized versions. They calculate the area of various size pizzas in order to do cost analysis to determine best buys.

Middle schoolers create a multimedia piece that integrates drawing and collage. Students learn about metacognition and the discovering of self through genres of art and literature by using these steps: inspiration, brainstorm,...

In this simplifying ratios learning exercise, 10th graders solve and complete 24 various types of problems. First, they complete each ratio and reduce when necessary. Then, students find the length and width of each rectangle described....

Students use the scientific method to conduct an experiment to test how a ball bounces. In this inquiry-based physical science and scientific method instructional activity, students drop a ball from specified heights and record the...