Concord Consortium
Measuring the Unit Circle
Here's the right task to investigate right triangles in the unit circle. A short performance task has learners determine the product of two side lengths in a unit circle. They must apply similarity concepts and trigonometric ratios to...
Illustrative Mathematics
Sore Throats, Variation 2
What does math have to do with a sore throat? When you mix water and salt you have a great review of how to represent proportional relationships by an equation or graph. Here the proportions of the mixtures may be different, but the...
Balanced Assessment
Number Game
It's all in the numbers! Create a mathematical model to analyze a number game and develop a winning strategy. Using a given numerical pattern, scholars write an expression to model the scenario. They then interpret the pattern of the...
Balanced Assessment
Bicycle Chain II
Apply geometric concepts to a design problem. Individuals examine the structural setup of the chain on a bicycle and use the measurements of the circles to determine the length of the chain.
Concord Consortium
Two Pounds to Go
How hard can it be to measure out two pounds? A short performance task introduces a situation where a balance scale is broken. It gives a method for measuring out two pounds and asks learners to evaluate the procedure. They must prove...
Curated OER
The Notorious Four-Color Problem
Take a walk through time, 1852 to 2005, following the mathematical history, development, and solution of the Four-Color Theorem. Learners take on the role of cartographers to study a United States map that is to be...
Illustrative Mathematics
The Lighthouse Problem
Long considered the symbol of safe harbor and steadfast waiting, the lighthouse gets a mathematical treatment. The straightforward question of distance to the horizon is carefully presented, followed by a look into the...
Curated OER
Order of Operations and Two-Step Equations
Solve two-step equations using order of operation in this algebra instructional activity. Young mathematicians evaluate functions through substitution and apply the properties of exponents and negatives correctly. They complete the order...
EngageNY
Applying the Properties of Operations to Multiply and Divide Rational Numbers
Use properties to evaluate several multiplications and divisions. The 16th lesson in a series of 25 demonstrates to scholars how they can utilize properties of operations to evaluate complex numerical expressions involving multiplication...
EngageNY
Applying the Properties of Operations to Add and Subtract Rational Numbers 2
The ninth part in a 25-part series emphasizes the importance of using properties of operations in evaluating sums and differences of rational numbers. Pupils solve problems and provide justifications for each step.
Curated OER
Pedal Power
Employ proportional reasoning and algebraic understanding to a determine a real world math quandary. Intel has created a project based unit to engage learners in using algebra to describe the physical world. They will create equations,...
Curated OER
Design Explorations: Frieze Patterns
Students will explore frieze patterns. A frieze pattern is a mathematical concept to classify designs on two-dimensional surfaces, which are repetitive in one direction, based on the symmetries in the pattern. They will explore examples...
Curated OER
Molas
Seventh graders apply their prior knowledge of the Principle of Balance to create a paper mola. Students examine a variety of molas, which are fabric works of art made by women in the country of Panama. To arrange the composition of the...
Curated OER
Arranging Chairs (Arrays)
The creation of arrays is the focus of this mathematics lesson. Pupils consider a situation for a theater stage performance: different amounts of people are coming to the show, and they must arrange the seats in rows of equal numbers. A...
Curated OER
The Tic Tac Equation
Students use an equation to solve a problem of applied mathematics. The problem involves using the dating practices of teenagers to create a context. They use an equation to find the solution of how many kisses can be obtained with the...
Mathed Up!
Direct and Inverse Proportionality
Direct your young mathematicians to a resource on direct and inverse variation. A video first reviews concepts on direct and inverse proportionality. Individuals then answer a set of questions in pure and applied mathematics...
Curated OER
Mathematical Magazines
Students use ads from magazines to create data to be measured and apply the skill of estimation. They record the percentage of magazine ads that could be separated into different categories made by students through the use of logical...
EngageNY
Congruence, Proof, and Constructions
This amazingly extensive unit covers a wealth of geometric ground, ranging from constructions to angle properties, triangle theorems, rigid transformations, and fundamentals of formal proofs. Each of the almost-forty lessons...
EngageNY
Solutions of a Linear Equation
Use the distributive property to solve equations. The sixth lesson in a 33-part series has scholars solve equations that need to be transformed into simpler equations first. Class members apply the distributive property to the equations...
EngageNY
Grade 5 Math Module 1, Topic A, Lesson 3
The activity introduces exponents as a way to write powers of 10 and to associate those powers with place value. Pupils practice writing powers of 10 with exponents along with multiplying numbers by powers of 10. The resource is the...
Curated OER
Earthquake Epicenter
Students use chart data to determine the location of the epicenter of an earthquake. This task assesses students' abilities to generalize and infer, organize data, interpret data, and apply mathematical concepts.
Curated OER
The Great Depression: Eating on a Shoestring
Students explore the realities of feeding a family on a very limited budget by comparing the cost of living in the 1930s to the cost of living today. Using primary documents and technology to make the comparison, they identify the impact...
Curated OER
Vectors: How Much Force Can You Apply
This lesson entails the viewing of two videos to get an overview of force and its application. The lesson covers how vectors use force in real-world situations.
Utah Education Network (UEN)
Pattern Search
Pupils identify and define various mathematical properties, such as the commutative properties of addition and multiplication, and the associative property of addition. They also reason and communicate mathematically by making...