Lesson Plan
Illustrative Mathematics

All vs. Only Some

For Teachers Pre-K - 2nd Standards
All shapes have certain defining attributes that set them apart from others. In order to understand this, young mathematicians look at examples and non-examples of triangles, rectangles, and squares, working as a whole class to create...
Assessment
Curriculum Corner

Area and Perimeter

For Students 3rd - 4th Standards
Get third graders excited to work find area and perimeter of unit squares, rectangles, and irregular shapes. A 36-page packet comes with task cards, graphic organizers, practice worksheets, printables with squares, exit tickets, and word...
Assessment
Concord Consortium

Rectangle Space

For Students 9th - 12th Standards
Take a coordinated look at rectangles. The task asks pupils to plot the length and width of created triangles in the coordinate plane. Using their plots, scholars respond to questions about rectangles and their associated points on the...
Lesson Plan
Illustrative Mathematics

Alike or Different Game

For Teachers K Standards
How are a circle and triangle alike? How are they different? These are the types of questions children will answer while playing this fun geometry game. Including a variety of conventional and unconventional shapes, this activity allows...
Lesson Plan
Illustrative Mathematics

Counting Squares

For Teachers K - 2nd Standards
Challenge young mathematicians' understanding of squares with this geometry puzzle. The task is simple, identify as many squares as possible in a 3x3 array. Allow learners to work independently or in pairs as they search for squares,...
Assessment
1
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Balanced Assessment

Square in Square

For Students 11th - 12th Standards
Challenge the class to devise a method to determine the dimensions of a rectangle inscribed in another rectangle. Pupils make connections between functions and geometry as they examine the area and perimeter of a square or...
Assessment
Bowland

Golden Rectangles

For Teachers 6th - 9th
Scholars must determine the maximum area for a rectangular plot of land enclosed with 100 meters of rope. As the work they discover patterns and numerical approaches to solve the problem.
Lesson Plan
EngageNY

Ratios of Fractions and Their Unit Rates 2

For Teachers 7th Standards
Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of...
Assessment
Concord Consortium

Square-Ness

For Students 9th - 11th Standards
Are there some rectangles that are more square than others? A thought-provoking task asks individuals to create a formula that objectifies the square-ness of a set of rectangles. They then use their formulas to rank a set of...
Assessment
1
1
Balanced Assessment

Gligs and Crocs

For Students 9th - 12th Standards
Explore relationships between perimeter and area. Learners compare the measurement units of gligs and crocs. They use a given perimeter and area as well as specific measurement relationships to determine the scale of gligs to crocs.
Lesson Plan
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Curated OER

Reflecting a Rectangle Over a Diagonal

For Teachers 7th - 9th Standards
Use the handout as guided or independent practice in drawing a reflection of a rectangle over a line. Three rectangles are provided for practice in addition to a critical thinking question.
Lesson Plan
Curated OER

The Square Counting Shortcut

For Teachers 2nd - 4th Standards
An excellent lesson plan 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...
Assessment
Balanced Assessment

County Concerns

For Students 6th - 8th
Apply area concepts to help farmers and settle county disputes. Scholars use a given diagram and information about an insecticide spraying campaign to determine the monetary benefit to farmers. They then decide which of two counties has...
Activity
Curated OER

Unit Squares and Triangles

For Teachers 9th - 11th Standards
This is an interesting geometry problem. Given the figure, find the area of a triangle that is created by the intersecting lines. The solution requires one to use what he/she knows about coordinate geometry, as well as triangle...
Lesson Plan
Illustrative Mathematics

Same Base and Height, Variation 2

For Teachers 5th - 7th Standards
This is a good model for learners to visualize triangles of the same base and height. They can can begin to comprehend that these triangles will have the same area no matter how the triangle is drawn. It is part of a series of resources...
Assessment
Noyce Foundation

Pizza Crusts

For Teachers 6th Standards
Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...
Lesson Plan
EngageNY

Solving Area Problems Using Scale Drawings

For Teachers 7th Standards
Calculate the areas of scale drawings until a more efficient method emerges. Pupils find the relationship between the scale factor of a scale drawing and the scale of the areas. They determine the scale of the areas is the square of the...
Lesson Plan
1
1
Curated OER

Halves, Thirds, and Sixths

For Teachers 2nd - 4th Standards
An excellent activity that effectively pulls together the concepts of area, fractions, and equivalent fractions! Using 3x2 rectangular arrays, 3rd graders are introduced to the concept of area in terms of square units. Building on this...
Lesson Plan
1
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Curated OER

A Rectangle in the Coordinate Plane

For Teachers 7th - 9th Standards
A quadrilateral is drawn on the coordinate plane, and eighth grade geometers find the length of each side and the diagonals by applying the Pythagorean theorem. 
Lesson Plan
1
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Illustrative Mathematics

What Shape Am I?

For Teachers 3rd - 5th Standards
Sharpen your pencil and grab a ruler, it's time to draw some quadrilaterals! Given the definition of a parallelogram, rectangle, and rhombus, learners draw examples and nonexamples of each figure. The three definitions are...
Lesson Plan
Illustrative Mathematics

Converting Square Units

For Teachers 5th - 7th Standards
Jada has a rectangle board that is measured in inches. Young learners confirm their understanding of converting inches to feet. Then they find the area in square feet. Jada thinks she has a short-cut to convert inches square to square...
Lesson Plan
Curated OER

Shapes and Their Insides

For Teachers 2nd - 4th Standards
Learners follow a series of instructions for drawing and coloring different shapes in order to learn the difference between the perimeter and area of a polygon. Then they are asked to find the perimeter and area of a 3x4 rectangular...
Lesson Plan
Illustrative Mathematics

Overlapping Squares

For Teachers 5th - 7th Standards
The objective of this activity is to find the percent of the area of a two squares overlapping. Mathematicians find the ratio of area for the part that overlaps to the rectangle formed. The final answer is a percent as a rate per 100....
Assessment
1
1
Balanced Assessment

Blirts and Gorks

For Students 9th - 12th Standards
Start a trend by using blirts and gorks as your standard unit of measures. The activity asks learners to take a known measures of blirts and gorks and develop a conversion ratio. Individuals use both perimeter and area measures of...

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