Mathematics Common Core Toolbox
Golf Balls in Water
Here's a resource that models rising water levels with a linear function. The task contains three parts about the level of water in a cylinder in relationship to the number of golf balls placed in it. Class members analyze the data and...
Concord Consortium
In a Triangle
What's in a triangle? Just 180 degrees worth of angles! Young learners use given angle relationships in a triangle to write an algebraic representation. Using a system of equations, they simplify the equation to a linear representation.
Mathematics Vision Project
Module 4: Linear and Exponential Functions
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways to bring...
Concord Consortium
Systematic Solution I
Writing a general rule to model a specific pattern is a high-level skill. Your classes practice the important skill as they write rules describing the solutions to a system of equations with variable coefficients. As an added challenge,...
Intel
Pedal Power
Show your classes the importance of mathematics in something as simple as bicycle design. The final lesson in the six-part STEM series has each group research a different aspect of the bicycle. Learners use mathematical formulas, linear...
Balanced Assessment
A Loud Noise
In a scale measuring noise, an increase in 10 dB is a 10 time increase in power. Mathematicians examine the data graph of a real world exponential growth, with no logarithmic scale, and then create two equations relating the decibels and...
Project Maths
Inequalities
Which number is bigger? Using a variety of activity sheets, this unit starts with the basics of inequalities and progresses through solving compound linear inequalities. Problems cover the range of inequalities including inequality word...
Curated OER
Review of Systems of Equations
Students work to complete various algebraic equations using different methods. Given a word problem, students create a poster identifying the various parts of the equation as well as the solution to the problem. Posters are presented...
Curated OER
Two-Step Equations
Sixth graders work through a two-step equation with their teacher. After reviewing one-step equations, they complete a worksheet using tiles and colored pencils to complete two-step equations. To end the lesson, they write out the step...
Curated OER
Systems of Linear Equations Modeling!
Students focus on finding solutions to situations found in everyday life. Students participate in activities to solve a system of equations, identify the system as consistent and independent, consistent and dependent or inconsistent. ...
Curated OER
Balancing Chemical Equations
In this chemistry worksheet, students balance each of the equations listed on the sheet. There are twenty-one equations to solve and complete.
Mathematics Vision Project
Module 5: Rational Functions and Expressions
Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...
Illustrative Mathematics
Art Class, Assessment Variation
Play with paint and decide the ratio to make different shades of green. When mixing paint colors, your painters should decide which ratios make the same shade and what is needed to mix other ratios for a different shade of green. This is...
Radford University
The Puppy’s Empire
Dogs can't do math ... but people sure can! A set of five lessons has scholars apply math concepts to solve problems related to buying a new dog, such as designing a fence and a dog house, estimating how large the dog will become, and...
PBS
The Yo-Yo Problem
What do yo-yos and pennies have to do with linear equations? Learn about writing and solving linear equations while considering the Yo-Yo Problem and Penny Pattern Exploration from the High School Math Project. Learners utilize algebra...
Curated OER
Multiplication and Division Equations
There is only one introductory algebra word problem here and an explanation is detailed below. Because of this format, consider projecting it as an all-class warm up. Learners examine a scenario where Sam can fill a box in three minutes,...
Curated OER
Residential Power System
Perform data analysis on energy consumption to apply algebraic expressions to the real world. Learners will write and solve equations that answer various questions from residential power use. They will collect data at home and calculate...
Bowland
Explorers – Patrol Services
Far out — plan a trip to space! Aspiring mathematicians steer a space vehicle through an asteroid field, calculate currency exchanges to buy provisions, and determine placement of charges to blow up asteroids. Along the way, they learn...
Curated OER
Inequalities
In this inequalities worksheet, 10th graders solve and complete 23 various types of problems. First, they find the area of an inscribed square in a circle shown. Then, students find the total area of the inscribed polygon and deduce...
Curated OER
Chapter 5 Solving Problems
Learners explore the concept of algebra topics. In this algebra topics lesson, students solve linear and quadratic equations. Learners solve systems and factor equations. Students practice problems involving perfect square trinomials and...
Alabama Learning Exchange
Sky High
How are skyscrapers built? What does it take to make a structurally sound building? How can one work within a budget to complete a building project? These guiding questions will be investigated and answered within a hands-on lesson....
PBL Pathways
Boogie Boards
Solve a complex business puzzle by building a linear programming model. An engaging project-based learning problem has classes examining transportation costs and manufacturing limitations from several plants. Ultimately, they use their...
Curated OER
Graphing Linear Equations Using the Table Method
Students graph linear equations using a table. In this algebra lesson plan, students create a table of values using the linear equation to find the y-values. They plot their point on a coordinate plane and graph the line.
Curated OER
SAT Grid Practice Test 12
In this SAT practice test, students solve various problems dealing with percent, area of polygons, rates, functions, and distance. This one page on-line worksheet contains ten multi-step problems.