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.
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,...
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...
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.
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...
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
Inequalities
In this inequalities activity, 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
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.
Concord Consortium
Systematic Solution II
Up the difficulty level by solving a system of equations with variable coefficients. Young scholars devise a plan to solve for x and y in terms of a and b. They represent their solutions as expressions and explain their process and the...
Fredonia State University of New York
Watch Your Step…You May Collide!
Can two lines intersect at more than one point? Using yarn, create two lines on the floor of the classroom to find out. Cooperative groups work through the process of solving systems of equations using task cards and three different...
Concord Consortium
Build a Box
Strive for gold with an informative resource. A short task challenges learners to investigate the thickness of a box made from a given volume of gold. The box must have specific dimensions, so setting up and solving a literal equation is...
Concord Consortium
Three Circles
Round and round and round we go. Given a diagram of three circles, two of which share a point with the third circle, learners identify the radius of each circle. Doing so requires setting up and solving a system of equations based on the...
Concord Consortium
King for a Day
Rumor has it exponential functions help solve problems! In a kingdom filled with rumors, young scholars must determine the speed a rumor spreads. The ultimate goal is to decide how many people must know the rumor for it to spread to the...
Curated OER
Quadratic Functions
In this quadratic functions worksheet, students complete a variety of activities, first reading explanations and examples, then solving equations.
Achieve
Stairway
It's the stairway to learning! Scholars research all aspects of building a staircase. Using information from building codes, they write and graph a system of inequalities to analyze the constraints. The completed project is a scale model...
Concord Consortium
City of New Orleans
In the United States, most trains operate at a top speed of 100 miles per hour. Scholars use information on the distance and time of a train trip to determine if the train ever reaches a specific speed. They connect pieces of information...
Curated OER
Worksheet 7 - Derivative
For this derivative worksheet, students derive the equation of a plane containing given points. This one-page worksheet contains eight multi-step problems.
Curated OER
Graphs, Equations and Inequalities
In this inequalities worksheet, 6th graders solve and complete 30 various types of problems. First, they calculate and write down a whole number for each equation. Then, students determine the gradient of a line with a given equation....
Curated OER
Properties of Operations as Strategies
These multiplication problems give scholars a chance to display their knowledge of math properties. They use the zero property to solve one problem, write a related multiplication fact for a division problem, and complete a final...
Curated OER
Worksheet 2
Directions in this worksheet direct the students to use any method they can to solve the equations, which are all differential equations. This activity could be used as a homework assignment, a class project, or a quiz.
Curated OER
Vectors
In this vectors worksheet, students solve and complete 6 various types of problems. First, they find two unit vectors that are parallel to the given vector and illustrate. Then, students find parametric equations for the line that passes...
Curated OER
Linear Systems: Geometric Interpretation of Eigenvalues
In this geometric interpretation worksheet, students prove the exponentiation of a matrix and the Eigenvalues of an inverse. This two-page worksheet contains explanations, examples, theorems and two problems for students to solve.