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Illustrative Mathematics
Battle Ship Using Grid Paper
You sank my battleship! The iconic cry of the time-honored game, Battleship will be heard in classrooms with this learning game that requires only grid paper, pencils, and an introductory knowledge of the first quadrant of the coordinate...
EngageNY
Drawing the Coordinate Plane and Points on the Plane
To plot a point in the coordinate plane, you first need a coordinate plane. Pupils learn to draw an appropriate set of axes with labels on a coordinate plane. They must also determine a reasonable scale to plot given coordinate pairs on...
EngageNY
Locating Ordered Pairs on the Coordinate Plane
Four quadrants, four times the fun. Future mathematicians learn the terminology associated with the coordinate plane and how to plot points in all four quadrants. A worksheet tests their understanding of the material in the 16th...
Inside Mathematics
Aaron's Designs
Working with transformations allows the class to take a turn for the better. The short assessment has class members perform transformations on the coordinate plane. The translations, reflections, and rotations create pattern designs on...
Concord Consortium
Function Project
What if a coordinate plane becomes a slope-intercept plane? What does the graph of a linear function look like? Learners explore these questions by graphing the y-intercept of a linear equation as a function of its slope. The result is a...
EngageNY
Representing Reflections with Transformations
In the 16th instructional activity in the series of 32 the class uses the concept of complex multiplication to build a transformation in order to reflect across a given line in the complex plane. The instructional activity breaks the...
Curated OER
A Sum of Functions
Collaborative learners will see the geometric addition of functions by graphing the sum of two graphed curves on the same coordinate plane. This task then naturally flows into giving learners the algebraic representation of the curves...
EngageNY
Linear Equations in Two Variables
Create tables of solutions of linear equations. A lesson plan has pupils determine solutions for two-variable equations using tables. The class members graph the points on a coordinate graph.
Noyce Foundation
Photographs
Scaling needs to be picture perfect. Pupils use proportional reasoning to find the missing dimension of a photo. Class members determine the sizes of paper needed for two configurations of pictures in the short assessment task.
Mathematics Assessment Project
Linear Graphs
A line is a line is a line. As a middle school assessment task, learners first identify graphs of given linear equations. They then identify the equations that represent real-world situations.
Mathed Up!
Rotation
Two videos show first how to perform a rotation, given the center, the angle, and the direction of rotations. Individuals then see how to find what the rotation is from one figure to another. Pupils practice doing both in seven problems...
Bowland
Bunting
How much fabric is necessary for bunting? Scholars use given dimensions of triangular bunting (hanging decorations) to determine the amount of fabric necessary to decorate a rectangular garden. The task requires pupils to consider...
EngageNY
The Geometric Effect of Some Complex Arithmetic 2
The 10th lesson in a series of 32, continues with the geometry of arithmetic of complex numbers focusing on multiplication. Class members find the effects of multiplying a complex number by a real number, an imaginary number, and another...
EngageNY
Mid-Module Assessment Task - Algebra 2 (Module 1)
Challenge classes to think deeply and apply their understanding of polynomials. The assessment prompts learners to use polynomial functions to model different situations and use them to make predictions and conclusions.
Balanced Assessment
Catenary
Develop a model for a hanging chain. Pupils find a mathematical model for a hanging chain and then they compare their models to the precise function that models the curve. Scholars come up with a strategy to determine how close...
Illustrative Mathematics
Lines of Symmetry for Quadrilaterals
Explore how lines of symmetry help define different categories of quadrilaterals. Looking at a square, rectangle, trapezoid, and parallelogram, young mathematicians discover that each shape has its own, unique symmetry. Encourage your...
Mathed Up!
Inequalities Regions
Discover how to solve systems of inequalities by graphing. An informative video shows pupils how to determine the solution set after graphing each inequality of a system. To finish, a worksheet gives them a chance to practice this skill.
Curated OER
Art Class, Variation 1
Student statisticians calculate ratios to determine how many shades of green were mixed by Ms. Baca's art class. They graph the number of blue parts against the number of yellow parts for each combination and discover that some produce...
Illustrative Mathematics
A Midpoint Miracle
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...
02 x 02 Worksheets
Slope
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...
New York State Education Department
Regents High School Examination: Geometry 2009
The University of New York Regents High School Exam for geometry from June 2009 is comprehensive in scope, with 38 questions over 22 pages. A reference sheet with relevant formulas is included.
Noyce Foundation
Percent Cards
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.
EngageNY
The Line Joining Two Distinct Points of the Graph y=mx+b Has Slope m
Investigate the relationship between the slope-intercept form and the slope of the graph. The lesson plan leads an investigation of the slope-intercept equation of a line and its slope. Pupils realize the slope is the same as the...
Inside Mathematics
Graphs (2006)
When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a activity that engages scholars to properly label line graphs. It then requests two applied reasoning answers.