Area for Secondary Students

Area is taught in early grades. The concept of adding up all the square units that COVER a figure is actually pretty simple. Students need to understand WHAT area is before really delving into using the formulas and then taking them a step forward.

In secondary grades, we begin to use the formulas and study how areas of composite figures can be found as well as finding shaded areas. These types of problems bring in the “real-life” and “problem solving” component. I tell my students all the time, “You must know how to apply the problem and you must know how to think about it forwards and backwards.” (If you are given the sides, find the area. If you are given the area and one side, find the missing side.)

To take area a notch further, we throw in algebra. Instead of a side being just 4, we might make it 4x. We will talk about how area is quadratic, volume is cubic and perimeter is linear.

Before students get to pre-calculus, they also need to how dimensional changes affect the area. If all dimensions change, the area changes by that amount squared! So if all sides are doubled, then the new area will be quadrupled (or doubled squared). If one dimension changes, then the area is only affected by that amount!

I’ve been hard at work creating my Geometry Curriculum. My most recent resource covers area. The resource practices finding area of rectangles, parallelograms, squares, rhombi, triangles, and trapezoids. These figures are combined into composite figures and problems are worked forward and backwards. There is a special emphasis on regular polygons. Regular polygons are a great way to practice special right triangle rules and trig! There are tons of notes, practice and quizzes in this resource. If you need something like this, then go to my TpT store and check it out.

Area of Polygons


Patterns in Nature

 A pattern that occurs over and over in nature is the Fibonacci Sequence. The pattern is this: 1,1,2,3,5,8,13,21,34,55… Do you know the next number in the pattern?

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When you make squares with those widths, you get this cool spiral:Fibonacci Spiral

Look at these beautiful images that follow this pattern:

Messier 83, a spiral galaxy located 15 million light-years away from Earth.

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A spider form formed using a spiral shape.

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The pattern does not always appear in a spiral.

The Golden Ratio and Fibonacci Sequence go hand in hand…pardon the pun.

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Divide 8 by 5, Divide 21 by 8, Divide 55 by 34… choose any two numbers in the sequence that are next to each other and divide larger by smaller.

Pi Day Activity


This coloring activity is a fun way to practice area and circumference problems. There are 16 problems in all. The students are asked to leave some answers in terms of pi. There are some problems that area is given and the student has to find circumference and vice-versa. The back of the activity has adding, subtracting, multiplying and dividing with pi. The variety of problems makes this resource fun but challenging!

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Exponential Functions Activity

original-2266582-1Exponential Functions Activity

This was my very first resource that I put on TpT. I love this activity. It gives the students choices and it’s hands-on. Students love making a poster and using multiple representations. Here’s a sample poster:


Creating this activity inspired me to create Exponential Functions: 6 Stations. More examples of Exponentials! Fun and interactive!


Here are three more awesome Exponential Function Resources that are in my store.

Exponential Functions AssessmentExponential Functions UnitExponential Functions Bundle