Lesson Plan
National Council of Teachers of Mathematics

Stitching Quilts into Coordinate Geometry

For Students 8th - 11th Standards
Who knew quilting would be so mathematical? Introduce linear equations and graphing while working with the lines of pre-designed quilts. Use the parts of the design to calculate the slope of the linear segments. The project...
Activity
Noyce Foundation

Miles of Tiles

For Students K - 12th Standards
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,...
Activity
Noyce Foundation

The Wheel Shop

For Students K - 12th Standards
Teach solving for unknowns through a problem-solving approach. The grouping of five lessons progresses from finding an unknown through simple reasoning to solving simultaneous equations involving three and four variables. Each lesson...
Lesson Plan
Illustrative Mathematics

How Many Leaves on a Tree? (Version 2)

For Teachers 9th - 12th Standards
A second attack at figuring out the number of leaves on a tree, this activity makes both an excellent follow-up to version 1 and a stand-alone activity. Learners practice setting parameters and deciding acceptable estimate precision, and...
Lesson Plan
Illustrative Mathematics

Dividing by One-Half

For Teachers 4th - 6th Standards
Understanding when to divide by two or one-half can be confusing. Here is an activity that gives four different scenarios. It is up to your number crunchers to decide if they divide by two or one-half. The easiest way to approach the...
Lesson Plan
Curated OER

20 Tickets

For Teachers 1st - 2nd Standards
A great hands-on activity involving adding and subtracting, beginner mathematicians determine how many games can be played with 20 tickets. Instead of tickets, youngsters use 20 counters or linking cubes to represent the amount of...
Lesson Plan
Illustrative Mathematics

Make 9

For Teachers Pre-K - 1st Standards
Learning how numbers are put together as parts and wholes is a big step in building the foundational number sense of young mathematicians. Here, children are given a number less than 10 and are asked to find as many pairs of numbers as...
Lesson Plan
Illustrative Mathematics

Writing Constraints

For Teachers 9th - 12th Standards
Use this resource to present your number crunchers with how to write a constraint equation and to determine viable solutions. The price of an object limits the amount that can be purchased. The speed at which you walk limits the number...
Lesson Plan
Curated OER

Making a Ten

For Teachers 1st - 3rd Standards
An addition table supports third graders as they learn strategies to improve their math fluency. When finding sums greater than ten, students are taught how to first make a ten and then add on the rest. A similar method is also...
Activity
PBL Pathways

College Costs

For Students 10th - Higher Ed Standards
Predict the year that college costs will double in your state using linear modeling. The first part of this two-part project based learning activity asks young mathematicians to use data from the College Board. They graph the data,...
Activity
5280 Math

Triangle Area Patterns

For Teachers 8th - 10th Standards
Combine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that...
Activity
Noyce Foundation

Tri-Triangles

For Students K - 12th Standards
Develop an understanding of algebraic sequences through an exploration of patterns. Five leveled problems target grade levels from elementary through high school. Each problem asks young mathematicians to recognize a geometric pattern....
Activity
Curated OER

Narrow Corridor

For Teachers 8th - 12th Standards
Buying a new sofa? Learn how to use the Pythagorean Theorem, as well as algebra and graphing techniques, to determine whether the sofa will fit around a corner (which I'm sure you'll agree is a very important consideration!).
Activity
Noyce Foundation

On Balance

For Students K - 12th Standards
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...
Activity
Noyce Foundation

Perfect Pair

For Students K - 12th Standards
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...
Activity
Noyce Foundation

Digging Dinosaurs

For Students K - 12th Standards
Build a function to solve problems rooted in archeology. A comprehensive set of five lessons presents problems requiring individuals to use functions. The initial lesson asks learners to find the possible number of dinosaurs from a...
Lesson Plan
Illustrative Mathematics

High School Graduation

For Teachers 7th - 9th Standards
An exercise in finding the approximate time that a name would be called at a graduation. Estimating time may be difficult for some of the class, so this resource would not be a good choice for learning this standard. It does end with a...
Activity
Math Medics

S.o.s. Math: Differential Equations Newton's Law of Cooling

For Students 9th - 10th
This math lesson shows how differential equations apply to Newton's Law of Cooling.
Activity
Math Medics

S.o.s. Math: Differential Equations/population Dynamics

For Students 9th - 10th
This math lesson shows how population growth can be determined by using differential equations.
Activity
Paul Dawkins

Paul's Online Notes: Differential Equations

For Students 9th - 10th
The tutorial explores differential equations. Topics examined are first order differential equations, second order differential equations, Laplace transforms, Fourier series, higher order differential equations, and systems of...
Activity
Analyze Math

Analyze Math: Applications of Differential Equations

For Students 9th - 10th
Scholars examine applications of differential equations. Examples explore how differential equations are used to model population, Newton's law of cooling, and engineering systems.
Activity
Analyze Math

Analyze Math: Solve Second Order Differential Equations Part 2

For Students 9th - 10th
The tutorial examines second order differential equations. Topics investigated are real solutions, auxiliary equations, and how to solve second order differential equations. The resource includes examples with detailed solutions.
Activity
Analyze Math

Analyze Math: Solve Second Order Differential Equations Part 1

For Students 9th - 10th
The tutorial examines second order differential equations. Topics investigated are real solutions, auxiliary equations, and how to solve second order differential equations. The resource includes examples with detailed solutions.
Activity
Analyze Math

Analyze Math: Solve Second Order Differential Equations Part 3

For Students 9th - 10th
The tutorial explores second order differential equations. Topics investigated are complex solutions and how to solve second order differential equations. The resource includes examples with detailed solutions.