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Illustrative Mathematics
All vs. Only Some
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...
Curriculum Corner
Area and Perimeter
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...
Concord Consortium
Rectangle Space
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...
Illustrative Mathematics
Alike or Different Game
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...
Illustrative Mathematics
Counting Squares
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,...
Balanced Assessment
Square in Square
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...
Bowland
Golden Rectangles
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.
EngageNY
Ratios of Fractions and Their Unit Rates 2
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...
Concord Consortium
Square-Ness
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...
Balanced Assessment
Gligs and Crocs
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.
Curated OER
Reflecting a Rectangle Over a Diagonal
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.
Curated OER
The Square Counting Shortcut
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...
Balanced Assessment
County Concerns
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...
Curated OER
Unit Squares and Triangles
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...
Illustrative Mathematics
Same Base and Height, Variation 2
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...
Noyce Foundation
Pizza Crusts
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...
EngageNY
Solving Area Problems Using Scale Drawings
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...
Curated OER
Halves, Thirds, and Sixths
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...
Curated OER
A Rectangle in the Coordinate Plane
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.
Illustrative Mathematics
What Shape Am I?
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...
Illustrative Mathematics
Converting Square Units
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...
Curated OER
Shapes and Their Insides
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...
Illustrative Mathematics
Overlapping Squares
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....
Balanced Assessment
Blirts and Gorks
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...