EngageNY
Linear Transformations Applied to Cubes
What do you get when you combine a matrix and a cube? Well that depends on the matrix! Pupils use online software to graph various transformations of a cube. Ultimately, they are able to describe the matrix that is responsible for a...
Curated OER
Mass: Applying and Interpreting
Students rotate through six studying stations solving problems that involve applying and interpreting aspects of mass. They solve various word problems, and measure the contents of cans and calculate the mass of two cans.
Curated OER
Slopes for the Mathematically Inclined
In this slope worksheet, 9th graders solve and complete 6 different problems that include completing charts and applying applications to the real world. First, they use the pictures shown to measure the riser and tread of 3 consecutive...
Curated OER
Mathematics Lesson Plan
Second graders study subtraction facts. In this mathematics lesson, 2nd graders discuss how to solve two digit subtraction problems. Students recognize that there are many different methods or strategies one can use such as using...
Curated OER
Solving Linear Equations
In this solving linear equations worksheet, 9th graders solve and complete 6 different types of problems. First, they maintain a balance on both sides of the equation so that each side remains equal. Then, students apply mathematical...
Curated OER
How to Apply Properties in Multiplication
Students study the commutative and associative properties. In this multiplication lesson, students review the properties and solve several multiplication problems.
Curated OER
Mathematical Diagrams
In this geometry worksheet, students figure out the distance between 2 cities using the distance formulas. They apply flow charts to their problems and solutions to identify and clarify their steps. There are 40 questions.
Curated OER
Mathematics of Doodles
Students use the slope and y-intercept to graph lines. For this algebra lesson, students graph linear equations and apply it to solving real life problems.
Curated OER
Operation Spaghetti
Find the math in recipes. Young chefs will follow a recipe and investigate the total cost for materials. They measure amounts of food necessary for the recipe and compute the per person cost.
Illustrative Mathematics
Adding Multiples
Mathematicians practice communicating why the sum of two multiples of a number results in another multiple of that number. Encourage learners to construct a viable argument by applying the distributive property or by drawing a diagram....
Illustrative Mathematics
Dan’s Division Strategy
Can Dan make a conjecture about dividing fractions with the same denominators? That is what your scholars are to determine. They must show that if the statement is true, they understand how the quantities were determined, and how the...
Illustrative Mathematics
Voting for Three, Variation 2
Here is another opportunity for math students to apply reasoning to solve real-world problems with ratios. The ratio of the number of votes for two candidates is provided. Your class is asked to use this ratio and information given about...
Radford University
Parallel Lines, Transversals, and Angles: What’s the Connection?
Streets, bridges, and intersections, oh my! Parallel lines and transversals are a present in the world around us. Learners begin by discovering the relationship of the angles formed by parallel lines and a transversal. They then apply...
Illustrative Mathematics
Area of a Trapezoid
Here is a straightforward example of how to apply the Pythagorean Theorem to find an unknown side-length of a trapezoid. Commentary gives additional information on proving that the inside of the trapezoid is a rectangle, but is...
Mathematics Vision Project
Probability
Probability, especially conditional probability, can be a slippery concept for young statisticians. Statements that seem self-evident on the surface often require a daunting amount of calculations to explicate, or turn out to be not so...
Willow Tree
Multiplying and Dividing Monomials
Apply the power of mathematics to the power expressions. The activity gives examples of expressions that utilize each of the exponent rules to simplify. Once seeing the exponent rules individually, scholars combine them to simplify an...
Mathematics Assessment Project
Aaron's Designs
Learners first create designs for greeting cards by applying transformations of shapes on a coordinate plane, and then determine a sequence of transformations that produces a given design.
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...
Mathematics Assessment Project
Expressions and Equations
Express your wonder at this resource. Middle schoolers solve 10 short problems in the expressions and equations domain. They apply operations with scientific notation, set up and solve equations, and analyze linear equations.
Balanced Assessment
Multi-Figures
Apply concepts of scale and ratio to determine relationships in irregular figures. Learners determine the ratio of the perimeters of two figures composed of rectangles and circles. After, they apply similar concepts to find the ratio of...
Illustrative Mathematics
Sore Throats, Variation 2
What does math have to do with a sore throat? When you mix water and salt you have a great review of how to represent proportional relationships by an equation or graph. Here the proportions of the mixtures may be different, but the...
Concord Consortium
Measuring the Unit Circle
Here's the right task to investigate right triangles in the unit circle. A short performance task has learners determine the product of two side lengths in a unit circle. They must apply similarity concepts and trigonometric ratios to...
Curated OER
The Notorious Four-Color Problem
Take a walk through time, 1852 to 2005, following the mathematical history, development, and solution of the Four-Color Theorem. Learners take on the role of cartographers to study a United States map that is to be colored. One rule: no...
Illustrative Mathematics
The Lighthouse Problem
Long considered the symbol of safe harbor and steadfast waiting, the lighthouse gets a mathematical treatment. The straightforward question of distance to the horizon is carefully presented, followed by a look into the different...