Mathematics Assessment Project
Modeling: Making Matchsticks
Math: The only subject where the solution to a problem is seven million matches. Young scholars first complete an assessment task estimating the number of matches they can make from a tree of given dimensions. They then evaluate provided...
Math Drills
Solving Quadratic Equations
Need a solving quadratic equations with factoring worksheet? Here it is! A page worth of problems all with a leading coefficient of 1 gives your class a beginners level approach to the topic.
Mathematics Assessment Project
Historic Bicycle
"Ordinary" bicycles are not so ordinary. Learners use given information to determine the circumference of wheels for a historic Ordinary or Penny Farthing bicycle. Pupils then determine the number of times each wheel turns when the...
Teach Engineering
Applications of Linear Functions
It's not so straightforward — lines can model a variety of applications. Pupils experience linear relationships within the context of science, including Hooke's and Ohm's Laws. Class members got a taste of motion and speed from the...
EngageNY
Integer Sequences—Should You Believe in Patterns?
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.
Inside Mathematics
Graphs (2006)
When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a instructional activity that engages scholars to properly label line graphs. It then requests two applied reasoning answers.
Inside Mathematics
Rugs
The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...
Balanced Assessment
Two Solutions
An assessment presents a variety of equations and inequalities. Pupils must find two solutions for each equation or inequality and determine whether there are only two, another finite number, or an infinite number of solutions for the...
EngageNY
Informal Proof of the Pythagorean Theorem
Prove the Pythagorean Theorem using multiple informal proofs. Scholars first develop an understanding of the origins of the Pythagorean Theorem through proofs. They round out the lesson plan by using the theorem to find missing side...
Illustrative Mathematics
Latitude
The greater the latitude, the less of the Earth is north. Scholars graph the relationship between the latitude and the percentage of the Earth that is north of the latitude. Using the graph and the table, class members interpret values...
EngageNY
The Slope of a Non-Vertical Line
This lesson introduces the idea of slope and defines it as a numerical measurement of the steepness of a line. Pupils then use the definition to compare lines, find positive and negative slopes, and notice their definition holds for...
CK-12 Foundation
Permutations with Repetition: Permutations and Repetition
What's in a name? An interactive asks users to find the number of ways to arrange the letters in the word DAD and MOM. Pupils use the interactive to arrange the letters but restrict the permutations to be unique for MOM and answer...
CK-12 Foundation
Mean: Harmonic Mean
Let the means live in harmony. With lengths representing the values of a small data set, learners compare the arithmetic mean to the harmonic mean. The pupils determine which value is the most accurate representation of the average of...
CK-12 Foundation
Circles Centered at the Origin: Dog
How many bones can a dog on a leash reach? Class members move a dog on the end of its leash and determine whether it can reach bones located at specific points. The learners see whether the bone lies on the circle or outside of the...
CK-12 Foundation
Circles Not Centered at the Origin: Room Rearranging
Where does a circular table fit best? Individuals move a circle representing a table into different quadrants of a room. Pupils determine which equation of the circle will place the table in the appropriate quadrant. A discussion...
Shodor Education Foundation
Simple Monty Hall
What's behind door number one? A fun resource lets learners simulate the classic Monty Hall probability problem. Pupils choose a door, and after they select a losing door, they decide whether to switch or stay. Using their decisions, the...
Alabama Learning Exchange
Binomial Expansion—Shortcut Please
There has got to be a better way; you just have to find it! Given a general binomial to expand with increasing powers, pupils realize that there must be a better way than multiple multiplications. Classmates look for patterns and use...
101 Questions
Two Lane Road
Two vehicles move at a constant rate of speed toward each other, but when exactly will they pass? Pupils use still images from a video to determine the rate of speed and when the two cars meet. Then, they watch the complete video to...
Radford University
Earthquake Problem
Shake up things in the classroom. The unit uses earthquakes to bring a real-life connection to finding arc lengths, logarithms, and equations of circles. Small groups determine whether particular towns would have felt an earthquake after...
Curated OER
Area, Arithmetic and Algebra
Students model formulas for rectangles and squares. In this area, arithmetic and algebra lesson, students explore the formula for the area of squares and rectangles. They use squares to model the formula for the area and identify...
Curated OER
Be the Kiwi: Money and Banking
Students practice converting money systems and interest. In this money activity, students convert U.S. and New Zealand dollars. Students also discuss international travel and money exchange rates.
Curated OER
Volume Of A Cube
Fourth graders find the volume of cubes and cylinders. To determine volume, they fill large cubes with centimeter cubes. They discuss the formula used to find the volume of a cube. Students explore why the solution to the volume of a...
Curated OER
Length of an Arc
Students compute the length of an arc and each hypotenuse in the give figure, adding them up in the end. They then develop the formula for the arc length with respect to the x-axis and the y-axis. Students also develop a formula for the...
Curated OER
Total Value, Mixture, and Motion Problems, Section 8.3
In this total value worksheet, students read short story problems and write equations to solve the problems. Stories involve formulas such as distance and mixture formulas. A total of 14 problems are available on this two-page worksheet.
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