Noyce Foundation
Perfect Pair
What makes number pairs perfect? The resource provides five problems regarding perfect pairs of numbers, the definition of which changes in complexity with each task. Solutions require pupils to apply number sense and operations, as well...
Noyce Foundation
Measuring Up
Teach the basics of measurement and conversion with a five-lesson resource that builds an understanding of proportion and measurement conversion from elementary through high school. Initially, young scholars use ratios to determine soup...
Noyce Foundation
On Balance
Investigate the world of unknown quantities with a creative set of five lessons that provides problem situations for varying grade levels. Each problem presents a scenario of fruit with different weights and a balance scale. Using the...
Noyce Foundation
Surrounded and Covered
What effect does changing the perimeter have on the area of a figure? The five problems in the resource explore this question at various grade levels. Elementary problems focus on the perimeter of rectangles and irregular figures with...
Noyce Foundation
Miles of Tiles
Create number sentences and equations to solve geometric problems. Each activity in the series of five asks young mathematicians to consider different-sized tiles to build structures according to specific criteria. The first activities,...
PBL Pathways
Arch Project
Model real-life structures with mathematics. A project-based lesson presents a problem situation requiring classes to develop a function to model the St. Louis Arch and the Rainbow Bridge in Arizona. They create their models by...
PBL Pathways
Death Project
Verify the rule of thumb for finding the time of death. The project-based learning task asks pupils to determine when the rule of thumb process of finding the time of death is appropriate. Learners develop a function for the rule and...
Virginia Department of Education
Quadratic Curve of Best Fit
Class members create a table of the number of chords that can be drawn given the number of points on a circle. Pupils analyze the data created, find a function to fit to it, and use the function to make further predictions.
02 x 02 Worksheets
Inverse Variation
Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...
Inside Mathematics
Number Towers
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
Inside Mathematics
Functions
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...
Teach Engineering
Forms of Linear Equations
Linear equations are all about form. The fifth part in a unit of nine works with the different equivalent forms of linear equations. Class members become familiar with each form by identifying key aspects, graphing, and converting from...
Teach Engineering
Applications of Linear Functions
It's not so straightforward — lines can model a variety of applications. Pupils experience linear relationships within the context of science, including Hooke's and Ohm's Laws. Class members got a taste of motion and speed from the...
West Contra Costa Unified School District
Finding the Equation of a Circle
Tired of going around and around for a resource on circles? Scholars determine the general equation of a circle on a coordinate plane, then participate in an activity matching equations to the radii and centers of the circles they...
Mathematics Assessment Project
Solving Quadratic Equations
Scholars first complete an individual assignment using a quadratic equation to model the movement of a bus around a corner. Learners then discuss their solutions with classmates and analyze the provided sample responses.
West Contra Costa Unified School District
Quadratic Equations — What We Know
Everything you could possibly want to know about quadratic equations, all in one resource. Instructors demonstrate how to translate between different forms of quadratics (equation, table of values, graph, verbal description) and finding...
Mathematics Assessment Project
Calculating Arcs and Areas of Sectors of Circles
Going around in circles trying to find a resource on sectors of circles? Here is an activity where pupils first complete an assessment task to determine the areas and perimeters of sectors of circles. They then participate in an activity...
Mathematics Assessment Project
Sorting Equations of Circles 1
Round and round we go. Learners first complete a task on writing equations of circles. They then take part in a collaborative activity categorizing a set of equations for circles based on the radius and center.
Mathematics Assessment Project
Inscribing and Circumscribing Right Triangles
High schoolers attempt an assessment task requiring them to find the radii of inscribed and circumscribed circles of a right triangle with given dimensions. They then evaluate provided sample responses to consider how to improve their...
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
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
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...
Willow Tree
Problem Solving
School subjects connect when your young scholars use math to edit English. Math allows you to convert an entire paragraph into a simple equation or inequality. Examples encourage learners to write expressions, equations, and inequalities...
Willow Tree
Weighted Averages
Mixtures, weighted percentages, and varying speeds make problem solving difficult. The resource give learners a strategy for tackling these types of problems effectively.