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Illustrative Mathematics

The Geometry of Letters

For Teachers 3rd - 5th Standards
Use the alphabet as a tool for teaching your class about geometric figures. Break apart capital letters into line segments and arcs. Classify angles as right, acute, or obtuse. Identify parallel and perpendicular lines. An excellent...
Lesson Plan
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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
Curated OER

Point Reflection

For Teachers 7th - 9th Standards
Use this task as an exit ticket for your eight graders during the geometry unit. All they need to do is identify the coordinates of a point reflected over y=2000. 
Lesson Plan
Curated OER

Tangent Lines and the Radius of a Circle

For Teachers 9th - 12th Standards
Your Geometry learners will collaboratively prove that the tangent line of a circle is perpendicular to the radius of the circle. A deliberately sparse introduction allows for a variety of approaches to find a solution. 
Lesson Plan
EngageNY

Three-Dimensional Space

For Teachers 9th - 10th Standards
How do 2-D properties relate in 3-D? Lead the class in a discussion on how to draw and see relationships of lines and planes in three dimensions. The ability to see these relationships is critical to the further study of volume and...
Lesson Plan
Illustrative Mathematics

Do Two Points Always Determine a Linear Function?

For Teachers 9th - 12th Standards
Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...
Assessment
EngageNY

Geometry Module 5: End-of-Module Assessment

For Teachers 9th - 12th Standards
The lessons are complete. Learners take an end-of-module assessment in the last installment of a 23-part module. Questions contain multiple parts, each assessing different aspects of the module.
Lesson Plan
EngageNY

Distance and Complex Numbers 2

For Teachers 11th - 12th Standards
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th lesson in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to find...
Assessment
Concord Consortium

Shooting Arrows through a Hoop

For Students 9th - 12th Standards
The slope makes a difference. Given an equation of a circle and point, scholars determine the relationship of the slope of a line through the point and the number of intersections with the circle. After graphing the relationship, pupils...
Assessment
Noyce Foundation

Granny’s Balloon Trip

For Teachers 5th - 8th Standards
Take flight with a fun activity focused on graphing data on a coordinate plane. As learners study the data for Granny's hot-air balloon trip, including the time of day and the distance of the balloon from the ground, they practice...
Assessment
EngageNY

Mid-Module Assessment Task - Geometry (Module 2)

For Students 9th - 10th Standards
Challenge: create an assessment that features higher level thinking from beginning to end. A ready-made test assesses knowledge of dilations using performance tasks. Every question requires a developed written response. 
Assessment
Noyce Foundation

Percent Cards

For Teachers 6th Standards
Explore different representations of numbers. Scholars convert between fractions, decimals, and percents, and then use these conversions to plot the values on a horizontal number line.
Lesson Plan
EngageNY

Similarity

For Teachers 8th Standards
Use the coordinate plane to show two figures are similar. The lesson plan incorporates congruence transformations and dilations to move a figure on to another figure. Pupils determine that if a similarity transformation...
Assessment
Mathematics Assessment Project

Square

For Students 8th - 12th Standards
Don't be a square! Young mathematicians determine the slope and length of a line segment. They then prove whether four given coordinate points form a square.
Assessment
Inside Mathematics

Graphs (2006)

For Teachers 9th - 12th Standards
When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a instructional activity that engages scholars to properly label line graphs. It then requests two applied reasoning answers.
Lesson Plan
EngageNY

Modeling Video Game Motion with Matrices 2

For Teachers 11th - 12th Standards
The second day of a two-part lesson on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the 32-part...
Activity
Illustrative Mathematics

Slopes and Circles

For Teachers 9th - 12th Standards
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas...
Assessment3:06
Mathed Up!

Mixed Transformations

For Students 8th - 11th Standards
Viewers learn how to identify and perform a variety of transformations with a video that provides seven items on transformations. Pupils demonstrate their understanding of dilations, reflections, rotations, and translations. The video...
Lesson Plan
Curated OER

Why Does SAS Work?

For Teachers 9th - 10th Standards
Your geometry learners are guided by questions that help them use the language of reflections to explain the Side-Angle-Side congruence between two triangles in this collaborative task. Given a sample solution, declaring the...
Assessment
Noyce Foundation

Snail Pace

For Teachers 6th Standards
Slow and steady wins the race? In the assessment task, scholars calculate the rates at which different snails travel in order to find the fastest snail. Hopefully, your class will move much more quickly in finishing the task!
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Mr. Martini's Classroom

Mr. Martini's Classroom: Basic Geometry: Points, Lines, and Angles

For Students 3rd - 6th Standards
Students can review basic geometric terms using these self-check, multiple choice questions. Three levels of questions are provided.
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Khan Academy

Khan Academy: Midpoint Formula

For Students 9th - 10th Standards
Find the midpoint of a segment on the coordinate plane, or find the endpoint of a segment given one point and the midpoint. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...

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