Illustrative Mathematics
Applying the Pythagorean Theorem in a Mathematical Context
Participants who use this resource will apply the Pythagorean Theorem to show whether or not the shaded triangle inscribed in a rectangle is a right triangle. Once all of the sides on the shaded triangle are found, it is important that...
Waterloo Mathematics
Grade 7 Patterning and Algebra: Algebraic Expressions
Classmates solve 18 different problems that are mostly word problems that apply algebraic expressions. They draw different combinations of masses on a scale that would balance. They also simplify expressions and solve for x in a number...
Achieve
Task: Storage Sheds
Bridge the gap between mathematics and Career Technical Education. Pupils research the cost associated with building storage sheds and analyze possible profit. They build scale models and determine if building and selling the sheds is a...
Illustrative Mathematics
Extending the Definitions of Exponents, Variation 1
Scientist work with negative integer exponents all the time. Here, participants will learn how to relate negative exponents to time and to generate equivalent numerical expressions. Learners will apply the properties of integer exponents...
Curated OER
New York State Testing Program: Mathematics Test Book 2
In this mathematics test book, learners answer problems dealing with topics covered during the year. They solve problems dealing with percent, probability, properties, and interpreting graphs. This sixteen page worksheet contains...
Curated OER
A Rectangle in the Coordinate Plane
A quadrilateral is drawn on the coordinate plane, and eighth grade geometers find the length of each side and the diagonals by applying the Pythagorean theorem.
EngageNY
Applying Probability to Make Informed Decisions
Use simulations to determine the probabilities of events to make decisions. Class members are presented with several scenarios, some with known probabilities and others without. Groups run simulations to gather data that they then use to...
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...
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
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 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.
Education Development Center
Area and Multiplication
Take some intellectual fun and apply it to the concept of multiplying expressions together. A guide models how to break two numbers into an area model to multiply together in pieces similar to FOILing. The rest of the puzzles consist of...
Mathematics Assessment Project
Jane's TV
Jane wants a new television, but she's not sure what size to buy! Your middle schoolers can figure it out when they apply the Pythagorean theorem. Produced especially for meeting Common Core standards in geometry, this activity appeals...
Curated OER
Computer Storage Worksheet
In this math worksheet, students are given examples of different memory capabilities for the types of storage devices. They match the memory to the device for fifteen problems.
Curated OER
Task: Grain Storage
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
Curated OER
Task: Miniature Golf
"Fore!" All right, no one really yells this out in miniature golf, but this well-defined activity will have your charges using lots of numbers in their unique design of a miniature golf hole. Included in the activity criteria is the...
Curated OER
Applied Mathematics In Computers
In this math worksheet, students find the words in the puzzle that are
part of the vocabulary that is reviewed for the taught unit.
Math by Design
Transformations – Reflections
Scholars use interactive resources to figure out how to mathematically draw a reflection of a geometric shape viewed in a mirror. To conclude the activity, class members are asked to deduce the result of multiple reflections across...
Curated OER
Areas of Geometric Shapes with the Same Perimeter
A triangle, square, hexagon, and circle all have a perimeter of one unit. Eighth graders must attempt to find the area of each and arrange them in order from least to greatest areas. A terrific task for applying four different area...
California Education Partners
Yum Yum Cereal
Design an efficient cereal box. Scholars use set volume criteria to design a cereal box by applying their knowledge of surface area to determine the cost to create the box. They then determine whether their designs will fit on shelves,...
Math Mammoth
Distributive Property
In this math activity, students are given 30 problems to solve involving the distributive property, variables, parentheses, and area problems. The final set of problems asks students to solve problems mentally, without writing them down,...