Curated OER
The Square Counting Shortcut
An excellent lesson that encourages students to discover how complex figures can be broken into simpler shapes when measuring area. Working with block letters, learners are given the freedom to develop their own strategies for...
Curated OER
Recognize Area as Additive - Guided Lesson
Not all area word problems are straightforward. Here are some trickier ones to challenge your beginning geometers. They determine the area of two irregular shapes and one rectangle using given measurements. Remind scholars to use square...
Curated OER
Time and Metric Measurements
In this comparing times and measurements worksheet, students read times in seconds, minutes, and hours and metric measurements of mass and length to compare groups of two and write the symbols for less than, equal to, or greater than....
EngageNY
An Exercise in Creating a Scale Drawing
Design your dream classroom. The lesson plan contains an exercise to have teams create a scale drawing of their dream classroom. Pairs take the measurements of their classroom and furniture and create a scale factor for them. To finish...
EngageNY
Describing Distributions Using the Mean and MAD
What city has the most consistent temperatures? Pupils use the mean and mean absolute deviation to describe various data sets including the average temperature in several cities. The 10th lesson in the 22-part series asks learners to...
Virginia Department of Education
Going the Distance
Estimate the value of one of the most famous irrational numbers. The hands-on lesson plan instructs classmates to measure the circumference and diameters of circles using yarn. The ratio of these quantities defines pi.
Charleston School District
The Sum of Angles in a Triangle
An informative lesson contains a brief explanation of how the sum of the angles of a triangle is a line. The lesson continues with determining the missing angle in a triangle, or solving for a variable. Using the sum of the angles, the...
Charleston School District
Parallel Lines Cut by a Transversal
Pupils study angle measurements between different types of angles associated with parallel lines and transversals. The independent practice asks pupils to identify the types of angles in a diagram and to determine the measure of angles.
EngageNY
Proving the Area of a Disk
Using a similar process from the first lesson in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the circumference formula.
Virginia Department of Education
Lines and Angles
Explore angle relationships associated with transversals. Pupils construct parallel lines with a transversal and find the measures of the angles formed. They figure out how the different angles are related before constructing...
EngageNY
Informal Proofs of Properties of Dilations
Challenge the class to prove that the dilation properties always hold. The instructional activity develops an informal proof of the properties of dilations through a discussion. Two of the proofs are verified with each class member...
EngageNY
The Converse of the Pythagorean Theorem
Is it a right triangle or not? Introduce scholars to the converse of the Pythagorean Theorem with a lesson that also provides a proof by contradiction of the converse. Pupils use the converse to determine whether triangles with given...
EngageNY
Real-World Area Problems
Not all structures take the shape of a polygon. The 21st lesson in a series of 29 shows young mathematicians they can create polygons out of composite shapes. Once they deconstruct the structures, they find the area of the composite figure.
Charleston School District
Pythagorean Theorem and Converse
You've heard that it is true, but can you prove it? Scholars learn the Pythagorean Theorem through proof. After an overview of proofs of the theorem, learners apply it to prove triangles are right and to problem solve. This is the second...
EngageNY
More About Similar Triangles
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...
EngageNY
More on Modeling Relationships with a Line
How do you create a residual plot? Work as a class and in small groups through the activity in order to learn how to build a residual plot. The activity builds upon previous learning on calculating residuals and serves as a precursor to...
EngageNY
The Distance from a Point to a Line
What is the fastest way to get from point A to line l? A straight perpendicular line! Learners use what they have learned in the previous lessons in this series and develop a formula for finding the shortest distance from a point to a...
Curated OER
Measuring Length
In this measuring length activity, students learn to use a rule to measure distances. Students measure the lines to the nearest centimeter. Students finish by drawing lines using a ruler and the given measurements.
Curated OER
Measure for Measure
In this standard measurement worksheet, students solve 10 problems in which body parts and classroom objects are measured in inches. A paper ruler is provided.
Curated OER
Lesson 3.4 Practice A: Theorems and Postulates
In this theorem and postulate worksheet, students identify theorems and postulates that justify given statements. They determine the measure of specified angles. This two-page worksheet contains a total of 37 problems. These two...
Curated OER
Length Addition and Subtraction Word Problems
Who has the tallest ice cream cone? Learners read two short word problems to compare the heights of various objects. Because these are paired with images, the objective is more of an image analysis than measurement addition and...
Curated OER
Measure and Draw Angles
Six word problems provide practice for young geometers to review angles, the angle a of straight line, circles, right angles, and others. I like the approach of these questions; they require thinking and explaining, not just computation.
Charleston School District
Similar Triangles
Are they similar? The lesson provides an explanation of the angle-angle criterion for triangle similarity. Several problems allow the class to determine whether the two triangles with the given angle measures are similar or not.
Mathematics Assessment Project
Modeling Motion: Rolling Cups
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 measurements...