Illustrative Mathematics
Equal Area Triangles on the Same Base II
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
Curated OER
Seven Sets of Area Problems
In this area worksheet, students solve for the area of rectangles, parallelograms, triangles, trapezoids, kites, regular polygons, circles, and surface area. The worksheets is divided into seven different sets of problems.
Curated OER
Tile Patterns II: Hexagons
After learning that the sum of interior angles for triangles is 108 degrees, take it further to show that the sum of angles in any polygon is the same! Using hexagons, pupils practice finding the measure of the six congruent angles. Make...
Mascil Project
Circular Pave-Stones Backyard
Pack the lesson into your plans. Young mathematicians learn about packing and optimization with the context of circular paving stones. They use coins to model the paving stones, and then apply knowledge of circles and polygons to...
Virginia Department of Education
Properties of Quadrilaterals
What type of quadrilateral is that? Discover the difference between the types of quadrilaterals. Small groups investigate types of quadrilaterals using geometry software to find their properties. To keep track of the different...
Curated OER
Pape's Theorems
In this math worksheet, learners find the length of the side of a regular hexagon whose area is numerically equal to its perimeter.
Curated OER
Worksheet 17 - Area
In this area worksheet students read story problems, determine the necessary information to solve the problem. They find the amount of material needed to construct three-dimensional figures. Students determine the greatest and least area...
Curated OER
Discovering Perimeter
Twelfth graders apply perimeter measurement to items found in newspapers and calculate the cost in terms of feet or yards. They share answers and explanations with classmates.
Curated OER
Right Triangles
For this right triangles worksheet, 10th graders solve and complete 12 different types of problems. First, they solve for a variable given each of the right triangles with the sides as indicated. Then, students determine the shorter...
Curated OER
Prisms
In this prisms instructional activity, 10th graders solve and complete 6 different types of problems. First, they find the volume of a right prism with equilateral triangles as bases. Then, students find the volume of a right prism with...
Curated OER
Geometric Shapes and Angles
In this geometry worksheet, 10th graders review polygons and solve for the missing angles of trapezoids and isosceles triangles. There are 10 questions on this worksheet with an answer key.
Curated OER
Number Patterns and Sequences
In this number patterns and sequences worksheets, students complete activities for number patterns and sequences including Fibonacci's Sequence, lines, regular polygons, and towers. Students complete 15 problems.
Curated OER
Introducing Tessellations
Students create tessellations to increase their knowledge of the applications of geometry. They explore the different shapes of polygons.
Curated OER
Midpoints and Bisectors
In this geometry worksheet, students calculate the midpoints of polygons using coordinate pairs. They find the angle bisector, altitude and median of the given triangles. There are 33 questions.
Curated OER
Traditional American Indian Lodges
Young scholars explore the mathematical properties of traditional American Indian lodges. They examine the effect of increasing sides of a polygon, calculate the surface area of prisms and cylinders, and construct a classroom size...
Curated OER
Area of 2D Shapes
In this area worksheet, students commence solving for area of squares and rectangles, and continue to parallelograms and triangles, and continue again to rhombi and trapezoids and finish with circles, polygons, and shaded regions. There...
Curated OER
Circles and Cylinders
In this circles and cylinders worksheet, 10th graders solve and complete 22 various types of problems. First, they collect data for a radius and circumference for several different circles and calculate the quantity. Then, students find...
Willow Tree
Surface Area of Three-Dimensional Figures
Lateral area and surface area are simple concepts, but calculating them is not as easy! Using formulas, learners calculate lateral area and surface area for the same three-dimensional figures. The resource discusses the formula variables...
Government of Hong Kong
Areas and Volumes - 2D Shapes
Unfortunately for young mathematicians, the world isn't made entirely of parallelograms, triangles, and trapezoids. After first learning the area formulas for these common shapes, students apply this new knowledge to determine the area...
Curated OER
Tile Patterns I: Octagons and Squares
This can be used as a critical thinking exercise in congruence or as a teaching tool when first introducing the concept. Four octagons are arranged in such a way that a square is formed in the middle. With this information, geometry...
Alberta Learning
Area and Perimeter of Irregular Shapes
Evaluate young mathematicians' understanding of area and perimeter with this series of three assessment tasks. Challenging students to not only calculate the area and perimeter of irregular shapes, but to explain in writing their...
Curated OER
Quadrilaterals
In this geometry worksheet, 10th graders solve problems with quadrilaterals. They calculate the sum of the angles, find missing angles and identify properties of quadrilaterals. There are 16 questions with an answer key.
Curated OER
Moving On: Octagoning the Circle
Students explore circles through the use of octagons. They inscribe a circle in a regular octagon and find the area and perimeter of the hexagon with respect to the radius of the circle. Students present their findings to the class.
Curated OER
Creating Tessellations
In this creating tessellations worksheet, 10th graders solve 2 word problems that include creating various tessellations. First, they explore the various techniques used to form tessellations, including triangles, quadrilaterals,...