EngageNY
Writing and Evaluating Expressions—Multiplication and Division
Don't table the resource on writing expressions for relationships in tables. Scholars investigate relationships between variables and write algebraic expressions involving multiplication and division. These expressions help solve...
K20 LEARN
Decomposers—Fraction Style: Fractions
"What are fractions composed of?" is the essential question of a lesson designed to enhance understanding and strengthen the foundation of adding fractions. Mathematicians start by discussing what makes an equation true or false, then...
EngageNY
Counting Problems
Solving these percent problems is a matter of counting. Pupils find percents by counting the number of events that meet the criteria and the total number of possibilities. Participants create the ratio and convert it to a percent to...
EngageNY
From Ratio Tables to Equations Using the Value of a Ratio
Use the value of a ratio to set up equations. The teacher leads a discussion on determining equations from ratio tables in the 13th portion of a 29-part series. Pupils determine which of two equations to use to find the solution. They...
EngageNY
From Circle-ometry to Trigonometry
Can you use triangles to create a circle? Learners develop the unit circle using right triangle trigonometry. They then use the unit circle to evaluate common sine and cosine values.
EngageNY
Using Matrix Operations for Encryption
Data encryption is an important security measure for sensitive data stored on computers. Pupils learn how to utilize matrices for creating code. They also get a great review of matrix multiplication, inverse matrices, and the identity...
EngageNY
The Definition of Sine, Cosine, and Tangent
Introduce your classes to a new world of mathematics. Pupils learn to call trigonometric ratios by their given names: sine, cosine, and tangent. They find ratios and use known ratios to discover missing sides of similar triangles.
EngageNY
Designing a Search Robot to Find a Beacon
Build right angles using coordinate geometry! Pupils explore the concept of slope related to perpendicular lines by examining 90-degree rotations of right triangles. Learners determine the slope of the hypotenuse becomes the opposite...
EngageNY
Construct an Equilateral Triangle (part 1)
Drawing circles isn't the only thing compasses are good for. In this first installment of a 36-part series, high schoolers learn how to draw equilateral triangles by investigating real-world situations, such as finding the location of a...
EngageNY
First-Person Computer Games
How do graphic designers project three-dimensional images onto two-dimensional spaces? Scholars connect their learning of matrix transformations to graphic design. They understand how to apply matrix transformations to make...
EngageNY
Correspondence and Transformations
Looking for a strategy to organize the information related to transformations? The materials ask pupils to identify a sequence of rigid transformations, identify corresponding angles and sides, and write a congruence statement. They...
Skyscraper Museum
Building a Skyscraper
Creating buildings that reach hundreds of feet into the sky is no easy task. The third instructional activity in this series begins with four activities that engage young architects in exploring the major challenges that are faced when...
Curated OER
Rule for Equality of Fractions
Here is a lesson on equality of fractions. Learners use fraction bar manipulatives as the lesson goes along to help them visually understand equivalent fractions. The activities described are top-notch, and there is a worksheet embedded...
Curated OER
Solving Problems Involving Subtraction
Here is an excellent lesson plan on solving subtraction word problems using fractions and mixed numbers. Learners complete three activities that will help them to explore and better-understand the world of mixed numbers. Fraction bars...
K20 LEARN
Comparing Numbers And Fruit—More Or Less: Comparing Numbers
A discussion begins a lesson on comparing numbers. Pupils explain how they can show a number, then visit math centers to explore number-making tools. A story read-aloud of More or Less by Stuart Murphy identifies language for comparing...
Curated OER
Get in Shape with Geometry
Using geoboards, computer programs, and hands-on manipulative materials, elementary schoolers engage in a study of two and three-dimensional geometric shapes. This lesson is chock full of good teaching ideas on the subject, and the...
Exploratorium
Rotating String Shapes
Here is a very interesting way of studying triangles and polygons. Pupils work together and use pieces of string to create a variety of shapes. Depending on how many kids are manipulating the string at any one time, the number of...
Willow Tree
Equations of a Line
Each form of a linear equation has its purpose — pupils just have to find it. Building on the previous instructional activity in the series, learners examine point-slope and standard form. Using point-slope form, pupils write the...
Pennsylvania Department of Education
Using Manipulatives with Fractions
Students are introduced to the concept of using manipulatives when working with fractions in real life situations. In this using manipulative with fractions lesson, students make connections about when manipulatives aid in calculating...
Mathematics Assessment Project
Representing 3-D Objects in 2-D
How does the shape of the surface of water in a container change as water leaks out? After tackling this question, learners take part in a similar activity with more complex figures.
Curated OER
It's Great to Be More
Learners compare whole and fractional numbers using <, >, or =, with manipulatives and drawings.
Curated OER
Addition of Numbers
Second graders add two digit numbers with manipulatives. In this addition lesson plan, 2nd graders are given blocks to add numbers together.
Curated OER
Story Problems - Math
Students participate in hands-on, computer activities to demonstrate the addition and subtraction of mathematical situations. Given a story problem, students determine when to add or subtract. Using word processing technology, students...
Curated OER
Probability Popsicle Pop-ups
Fourth graders decorate and use popsicle sticks as manipulatives to assist with their learning of probability. They utilize a worksheet imbedded in this plan to organize the results of their experiment. They make a stem and leaf plot...