Illustrative Mathematics
Shake and Spill
Entertaining as well as educational, this math activity about decomposing numbers is bound to capture the engagement of young learners. Given a cup and five two-color counters, young mathematicians simply shake and spill the cup,...
Rational Number Project
Initial Fraction Ideas: Lesson 3
Visual models support young mathematicians as they deepen their fractional number sense in this elementary math lesson plan. Using fraction circle manipulatives, children explore basic unit fractions as they develop the...
EngageNY
How Do Dilations Map Lines, Rays, and Circles?
Applying a learned technique to a new type of problem is an important skill in mathematics. The lesson asks scholars to apply their understanding to analyze dilations of different figures. They make conjectures and conclusions to...
EngageNY
Complex Numbers as Solutions to Equations
Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex.
EngageNY
Transforming the Graph of the Sine Function
Build a solid understanding of trigonometric transformations through exploration. Learners work in teams to analyze the effects of different algebraic components on the graph of a sine function.
EngageNY
Calculating Conditional Probabilities and Evaluating Independence Using Two-Way Tables (part 2)
Without data, all you are is another person with an opinion. Show learners the power of statistics and probability in making conclusions and predictions. Using two-way frequency tables, learners determine independence by analyzing...
EngageNY
Properties of Exponents and Radicals
(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in...
EngageNY
The Most Important Property of Logarithms
Won't the other properties be sad to learn that they're not the most important? The 11th installment of a 35-part module is essentially a continuation of the previous lesson, using logarithm tables to develop properties. Scholars...
EngageNY
Geometric Sequences and Exponential Growth and Decay
Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.
EngageNY
Representing, Naming, and Evaluating Functions (Part 2)
Notation in mathematics can be intimidating. Use this lesson to expose pupils to the various ways of representing a function and the accompanying notation. The material also addresses the importance of including a domain if necessary....
Illustrative Mathematics
How Long
It won't take young mathematicians long to learn how to measure length with this fun, hands-on activity. Working in pairs, children use Unifix® or snap cubes to measure and record the lengths of different classroom objects. To extend the...
Illustrative Mathematics
Weather Graph Data
Teaching young mathematicians about collecting and analyzing data allows for a variety of fun and engaging activities. Here, children observe the weather every day for a month, recording their observations in the form of a bar graph....
5280 Math
Pythagorean Triples
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
EngageNY
Counting Rules—Combinations
Discover how combinations are different from permutations. In the third installment of a 21-part module, scholars learn how to determine combinations of objects. They learn to distinguish between situations where order is important and...
Illustrative Mathematics
Pick Two
Learning to break apart numbers into smaller pairs is a critical step young mathematicians take as they develop their number sense. To practice this skill, children are provided with sets of three numbers and are asked to pick the two...
Mathematics Vision Project
Module 2: Congruence, Construction and Proof
Construct yourself a winning geometry unit. A set of lessons introduces geometry scholars to constructions and proofs with compasses and straightedges. It also covers triangle congruence through transformations. This is the second of...
Mathematics Vision Project
Module 9: Statistics
All disciplines use data! A seven-lesson unit teaches learners the basics of analyzing all types of data. The unit begins with a study of the shape of data displays and the analysis of a normal distribution. Later lessons discuss the...
Mathematics Vision Project
Module 5: Circles A Geometric Perspective
Circles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...
Willow Tree
Order of Operations
It's the classic please excuse my dear aunt sally strategy to remembering the order of operations. Young mathematicians practice to develop an understanding of the order of operations. Examples and practice problems include...
Willow Tree
Solving Quadratic Equations
Polynomials are full of solutions! Learners understand that the degree determines the number of solutions. Examples show quadratic equations solved by factoring and by using the quadratic formula. A cubic equation is even mixed in for...
101 Questions
Class Height Distribution
A picture is worth a thousand words, and this is no exception! The introductory photo shows a group of classmates lined up in height categories; females and males are in different colors, and the shape of the curve they create is...
West Contra Costa Unified School District
Three Forms of an Equation of a Line
An equation is an equation is an equation. Scholars see there are many ways to solve them when they first sort a set of linear equations as written in standard form, point-slope form, or slope-intercept. They then write equations in all...
Mathed Up!
Area and Circumference of Circles
Don't go around and around, help your class determine amounts around and in a circle with a video that connects circumference to the perimeter or the distance around an object. The resource includes 14 questions dealing with circles and...
CK-12 Foundation
Special Triangle Ratios: Special Right Triangle Ratios
Go from one side length to any other side length with special right triangles. Individuals use the interactive to investigate the ratio of sides in 45-45 and 30-60 right triangles. Scholars make generalizations about the types of special...