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Illustrative Mathematics

A Midpoint Miracle

For Teachers 9th - 12th Standards
Young geometers develop one of the fundamental properties of quadrilaterals (connecting side midpoints gives a parallelogram) in this short but thought-provoking exercise. Using a combination of hands-on techniques and abstract algebraic...
Lesson Plan
02 x 02 Worksheets

Slope

For Teachers 9th - 11th Standards
What does slope have to do with lines? Pupils work with lines and determine the slope of the lines informally and with the slope formula. Groups use their knowledge to calculate the slopes of parallel and perpendicular lines. They also...
Organizer
Curated OER

Coordinate Grid Paper

For Students 4th - 8th
In this coordinate grid worksheet, students are given a blank coordinate grid graph on which to plot points. Page is a blank template with no specific associated activities.
Organizer
Curated OER

Coordinate Grid Paper

For Students 4th - 6th
In this coordinate grid worksheet, students plot point on the grid. Sheet is a blank template only with no specific associated activities. A website reference for additional resources is provided.
Lesson Plan
Curated OER

Polar and Cartesian Coordinates

For Teachers 11th - 12th
Students review polar coordinates, as well as translations and rotations in Cartesian Coordinates. They also watch a video on conics and write a summary of the video for a quiz grade. Students then find an equation after a...
Lesson Plan
Curated OER

Plotting Grids Using Battleship

For Teachers 6th - 12th
Students coordinate grid points on X and Y axises to plot a physical location. The game of "Battleship is used to present first hand knowledge of this skill.
Lesson Plan
Curated OER

Graphing Game

For Teachers 6th - 7th
Learners explore the concept of graphing ordered pairs. For this graphing ordered pairs lesson, students work in teams to play a version of Connect 4. Learners use a Cartesian grid with values -4 to 4 as their Connect 4 board. Students...
Lesson Plan
Curated OER

Plotting Points

For Teachers 8th
Eighth graders practice plotting points on a coordinate plane. As a class, they create and label the parts of a graph. Given ordered pairs, they plot the points, connect them to reveal a particular shape, and find the area of the shape.
Lesson Plan
Curated OER

Flips, Turns, and Slides: Adventures with Transformations

For Teachers 9th - Higher Ed
Students explore transformations. In this math lesson, students plot points on a coordinate grid and construct shapes. Students discuss movements on the grid as flips, turns and slides.
Lesson Plan
Curated OER

Dayna Lykins, Leanna Prater

For Teachers 4th
Fourth graders compare and contrast gliding flight and true flight. They investigate the basic principles of aeronautics. The class participates in activities to observe lift and the effect of air. Students design and fly their own...
Lesson Plan
Curated OER

Find the Shape

For Teachers 4th - 5th
Students identify points on the coordinate plane using ordered pairs and also plot the ordered pairs on the coordinate plane. They also use properties of shapes to identify polygons such as triangles and quadrilaterals (square,...
Lesson Plan
Curated OER

Lighthouse Geometric

For Teachers 3rd - 4th
Students identify the types and characteristics of geometric figures. In this lighthouse geometric instructional activity, students review shapes that represent plane or solid.  They select items that could be used to construct a...
Lesson Plan
Curated OER

Geometry: Practical Applications of the Distance Formula

For Teachers 9th - 10th
Students, working independently and in groups, apply the distance formula to practical situations. After solving various problems, students in pairs design coordinate planes from the school blue print to measure the distance from the...
Lesson Plan
Curated OER

VARIABLES AND PATTERNS, USE AFTER INVESTIGATION THREE. DISCRETE OR CONTINUOUS LINEAR RELATIONS.

For Teachers 7th - 8th
Students discover for which kind of linear function is appropriate to use the "scatter" or the "connected" term. For this lesson, students investigate functions using variables, patterns book, graph paper, rulers and the graphit program.
Worksheet
Curated OER

Chapter 3: Worksheet 3A Functions

For Students 10th - 11th
In this function worksheet, students sketch functions, label the graph, and plot points on a coordinate plane. This one-page worksheet contains 22 problems.
Interactive
Curated OER

Midpoint

For Students 9th - 12th
In this online math learning exercise, students compute the midpoint between two sets of coordinate pairs. This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A...
Worksheet
Curated OER

Math 312 Spring 98: Cauchy's Integral Formula

For Students Higher Ed
In this integral formula learning exercise, students find the area of odd shapes by using the contour integration formula. They compute the area enclosed by an ellipse. This two-page learning exercise contains three problems.
Lesson Plan
Curated OER

Identify and Graph Linear Equations

For Teachers 8th - 9th
Young scholars investigate linear functions. In this mathematics lesson, students plot points onto a graph by solving the equations y=x and y=mx+b by being given numbers for x and solving for y.
Lesson Plan
Curated OER

Small and Large Squares

For Teachers K - 1st
Young mathematicians classify squares according to attributes. They sort squares according to specific attributes. Students explore squares in repeating patterns and order squares according to size. Engaging extension activities are...
Lesson Plan
Curated OER

Graphing and Interpreting Linear Equations in Two Variables

For Teachers 7th - 9th
Graph linear equations using a table of values. Learners solve equations in two variables using standard form of an equation. They identify the relationship between x and y values.
Lesson Plan
Curated OER

Proportionality: The X-Plane Generation

For Teachers 4th - 8th
Students meet NASA researchers who describe the relationship between force, energy and motion. They discuss how NASA's experimental X-plane is being tested to make space travel more reliable and show how proportionality and ratios are...
Worksheet
Curated OER

Plotting Points

For Students 4th - 5th
In this coordinate pairs worksheet, students learn to plot points on a graph. Students study the examples and then complete 20 questions. This is intended as an online activity, but may be completed with pencil and paper.
Lesson Plan
Curated OER

Flying High in Math

For Teachers 7th
Seventh graders study how real airplanes fly and then they construct models of paper airplanes using design resources for the Internet and their own design. They use meaurement and caluculations in order to help them construct their...
Lesson Plan
Curated OER

Points in a Complex Plane -- Lecture

For Teachers 6th - 8th
Learners review plotting points on a coordinate plane. Individually, they add and subtrace complex numbers and graph them in a complex plane. They follow along a worksheet while their teacher lectures on the new material and solve...