Mathematics Assessment Project
Glasses
Clink, clink! Young mathematicians investigate drinking glasses composed of known solids (cones, cylinders, and hemispheres). Next, they determine the volumes of these glasses.
Mathematics Assessment Project
Floor Pattern
You'll never look at floor tiles the same again. An assessment task prompts learners to investigate relationships between patterns involving squares and kites to determine angle measurements. They then prove whether a given quadrilateral...
Mathematics Assessment Project
Sugar Prices
Sugar rush! In this assessment task, learners interpret points on a scatter plot representing price versus weight for bags of sugar. They then determine the bag that represents the best value.
Mathematics Assessment Project
Sidewalk Patterns
Sidewalk patterns ... it's definitely not foursquare! Learners investigate patterns in sidewalk blocks, write an expression to represent the pattern, and then solve problems using the expressions.
Mathematics Assessment Project
Circles in Triangles
Circles, and triangles, and tangents, oh my! In the assessment task, learners first answer questions leading to the radius of an inscribed circle for a given right triangle. They then use the result to independently determine the radius...
Mathematics Assessment Project
Functions
After identifying which of the given coordinate points fall on the graph of a line and which fall on the graph of a parabola, pupils write equations for each function.
Mathematics Assessment Project
Circle Pattern
Cool circle patterns! To investigate patterns of shading in circles, learners use the values for specific examples of the pattern to generate a verbal rule for the arrangement.
Mathematics Assessment Project
Funsize Cans
Designing fun-size cans ... what fun! Class members use the provided questions to determine the dimensions of a can with a minimum surface area for a given volume. The task allows learners to use graphs or algebraic manipulation to solve...
Mathematics Assessment Project
Patchwork
Sew up learning on writing rules for patterns with an assessment task that has pupils investigate the number of triangles needed for cushions of different sizes. They then use the data to generate a rule for a cushion of any size.
Mathematics Assessment Project
Propane Tanks
As an assessment task, learners must determine the radius of a new tank that has double the capacity of a given tank. Task tests knowledge of determining volumes of cylinders and spheres.
Mathematics Assessment Project
Circles and Squares
Squares, and circles ... and squares, and more circles. In this high school assessment task, pupils investigate the ratio of areas of two squares that are circumscribed and inscribed in a circle. They then determine the ratio of the area...
Mathematics Assessment Project
Sidewalk Stones
One block, two blocks, white blocks, gray blocks. In the high school assessment task, learners investigate patterns of sidewalk stones to develop a quadratic expression for each colored block. Young mathematicians then use the expression...
Mathematics Assessment Project
Best Buy Tickets
Everyone wants the best price when shopping — no matter what they are trying to buy. Given pricing information, pupils must solve a system of equations to determine the best option for printing tickets.
Mathematics Assessment Project
Bestsize Cans
Traditional calculus problem made simple. In the high school assessment task, learners determine the minimum surface area for a can of a given volume using algebraic and numerical methods to solve the problem. No calculus required.
Mathematics Assessment Project
Table Tiling
How many total tiles does it take to tile a table top? Learners apply geometric concepts to determine the number of tiles needed for a specific square table top, and then use the result to create expressions for the number of tiles...
Mathematics Assessment Project
Skeleton Tower
Who doesn't like building blocks? In the task, pupils use a given diagram of a tower to determine the number of needed blocks. Using this information, pupils then develop a function rule relating the height of the tower to the number of...
Mathematics Assessment Project
Giantburgers
Americans love burgers! Pupils determine whether a given claim about burgers is true by reasoning from the provided information. The task involves operations with scientific notation.
University of Utah
Geometry Part 2: Measurement in 2- and 3-Dimensions, Plane Sections of Solids
What kind of tree does a math teacher climb? A geometry! Here is a lesson that includes all the geometry resources you could ever wish for in one comprehensive workbook. Class members demonstrate what they have learned by determining the...
Utah Education Network (UEN)
Probability and Statistics
MAD about statistics? In the seventh chapter of an eight-part seventh-grade workbook series, learners develop probability models and use statistics to draw inferences. In addition, learners play games and conduct experiments to determine...
Utah Education Network (UEN)
Real World Equations and Inequalities
Use of the resource = Opportunities for increased learning. Learners must use equations and inequalities to solve real-world and geometric problems.
Utah Education Network (UEN)
Geometric Figures and Scale Drawings
Scale up your lessons on geometry and ask learners to investigate conditions on triangles, scale drawings, the area and circumference of circles, and angle relationships. The resource includes activities and a homework assignment.
Utah Education Network (UEN)
Analyze Proportional Relationships and Use Them to Solve Real-World Problems
What proportion of learners will benefit from the lessons on proportional reasoning? Class members learn about proportional relationships, from unit rates to writing equations for proportional relationships. Then, they learn to use...
Utah Education Network (UEN)
Expressions and Equations Part 1
Express your love of equations! Pupils first learn to write and simplify numerical and algebraic expressions. Then, create and solve two-step equations. The progression is a great way to introduce the concept slowly.
Utah Education Network (UEN)
Operations with Rational Numbers
Add an engaging resource to your lessons on rational numbers and watch your pupils' understanding multiply. Learners determine rules for adding, subtracting, multiplying, and dividing integers. Individuals then extend these rules to all...