Illustrative Mathematics
Voting for Three, Variation 1
This is an opportunity for young mathematicians to apply reasoning to solve real-world problems with ratios. Even though there are three candidates for class president, students will only consider two at a time, making the first problem...
EngageNY
Nature of Solutions of a System of Linear Equations
If at first you cannot graph, substitute. The instructional activity introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part...
Curated OER
Math: The Cathedral Project
Second graders take a field trip to a nearby church or other historical building and examine it from a mathematical perspective. In groups, they calculate the seating capacity, describe the window patterns, differentiate types of...
EngageNY
Find Solutions to Make Equations True
The truth is always best. Individuals continue to find values that make equations true in the 26th installment of the 36-part module. The only difference is that they now call them solutions to those equations.
Curated OER
Finding the Area of an Equilateral Triangle
The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle...
EngageNY
Applying the Laws of Sines and Cosines
Breaking the law in math doesn't get you jail time, but it does get you a wrong answer! After developing the Law of Sines and Cosines in lesson 33 of 36, the resource asks learners to apply the laws to different situations. Pupils must...
EngageNY
Dividing by (x – a) and (x + a)
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
EngageNY
Systems of Equations Leading to Pythagorean Triples
Find Pythagorean Triples like the ancient Babylonians. The resource presents the concept of Pythagorean Triples. It provides the system of equations the Babylonians used to calculate Pythagorean Triples more than 4,000 years ago. Pupils...
Curated OER
Summer Packet - Math & Reading
In this math and reading comprehension worksheet packet, young scholars solve 700 basic addition, subtraction, multiplication, and division facts. Next, they identify what a sentence looks like, the difference between there and their,...
West Contra Costa Unified School District
Investigating Special Right Triangles
Scholars first investigate relationships in the side lengths of 30°-60°-90° triangles and 45°-45°-90° triangles. This knowledge then helps them solve problems later in the lesson plan about special right triangles.
Curated OER
Space Shuttle's Heat Shield Problem
Students participate in a role-play activity to determine how to replace heat shields on the space shuttle using polar coordinates.
Curated OER
Cover Up: Tools for Integrating Math and Engineering
Blend art, adolescent snacking habits, and math to create new cereal boxes. Secondary learners review scale drawings. They use this information to construct cereal boxes to scale and will compare their creation to the original product to...
Curated OER
Yummy Math
Young mathematicians use bags of Skittles to help them gain practice in graphing and organizing data. They work in pairs, and after they have counted and organized their Skittles, they access a computer program which allows them to print...
Curated OER
Tell Us All: Tools for Integrating Math and Engineering
What a scam! Middle and high schoolers pose as journalists exposing consumer fraud. For this lesson, they write an article for a magazine using data collected during previous investigations (prior lessons) to defend their findings that a...
Curated OER
Doctor, Doctor, Give Me the News, I've Got a Bad Case of Loving Math
Solve a real-world problem of discovering how many doctors and nurses can be hired within budget and building constraints. Using different colored pencils to shade each graph, they then find the intersection points and use these to solve...
Curated OER
Rice Math Problems
Third graders practice solving math equations using rice as their subject. They translate situations involving rice into math equations in order to solve them properly. They also discover and practice using math vocabulary terms...
Curated OER
Solving Systems of Equations
Learners explore the concept of solving systems of equations with two equations and two unknowns. For this solving systems of equations lesson, they work through problems of solving systems by substitution, elimination, and graphing....
Curated OER
Solving One-Step Equations
Students practice solving one-step equations. In this one-step equation lesson, students examine the proper use of order of operations when solving for one variable and show that they are able to use inverse operations to solve problems....
Curated OER
Solving Math Word Problems
Learners use five word problem solving skills to solve a variety of math word problems. They observe the teacher modelling the five steps, and in small groups complete two worksheet word problems. Students read the problem, find the...
Curated OER
Word Problems of Equal Share and Equal Groups
Fourth graders solve multiplication word problems. In this multiplication problem solving lesson, 4th graders view an example of how to group objects in a word problem. Students practice solving these word problems with partners and use...
Curated OER
Computation: How can we use rice to solve problem questions?
Fourth graders graph metric tons of rice produced by various countries. In this graphing lesson, 4th graders follow problem solving steps to answer questions about rice nutrition and then graph the amount of rice produced by...
Curated OER
All A-buzz About Math
Second graders participate in Math-Eze activities to comprehend word problems. In this word problem lesson, 2nd graders recognize why a hexagon is the best shape for a beehive. Students calculate how far bees must travel to find 2 lbs....
Curated OER
The Yo-Yo Problem: Solving Linear Equations
Learners write the algebraic equation to determine the number of weeks money must be saved to purchase a yo-yo. In this algebra instructional activity, students create a pattern of one penny surrounded by six pennies. They continue the...
Curated OER
Application of Matrix Multiplication
The class explores a real-world application in which the data represents rental prices of beach condos. They problem solve by multiplying matrices to determine the cost of each property in each season. Several scenarios are presented in...