Mathematics Assessment Project
Middle School Mathematics Test 1
A 13-page test contains two 40-minute sections, which provide word problems and applied analysis to cover material from pre-algebra through geometry.
Agile Mind
Rabbit populations
In this real-world problem about the rapid growth of rabbit populations, students must analyze two different scenarios and create mathematical models to represent them. They use their exponential models to answer questions about the...
Curated OER
Math Games for Skills and Concepts
A 27-page packet full of math games and activities builds on algebra, measurement, geometry, fractional, and graphing skills. Young mathematicians participate in math games collaboratively, promoting teamwork and skills practice.
EngageNY
Tax, Commissions, Fees, and Other Real-World Percent Problems
Pupils work several real-world problems that use percents in the 11th portion of a 20-part series. The problems contain percents involved with taxes, commissions, discounts, tips, fees, and interest. Scholars use the equations formed for...
Illustrative Mathematics
Reasoning about Multiplication and Division and Place Value, Part 1
Help your class make sense of quantities and their relationships. Given is the product of two numbers. It is up to your number crunchers to think about the quantitative relationship when the product is one-tenth or ten times the product...
EngageNY
The Side-Angle-Side (SAS) and Side-Side-Side (SSS) Criteria for Two Triangles to Be Similar
Playing with mathematics can invoke curiosity and excitement. As pupils construct triangles with given criteria, they determine the necessary requirements to support similarity. After determining the criteria, they practice verifying...
EngageNY
Similarity and the Angle Bisector Theorem
Identifying and verifying reproducible patterns in mathematics is an essential skill. Mathematicians identify the relationship of sides when an angle is bisected in a triangle. Once the pupils determine the relationship, they prove it to...
MENSA Education & Research Foundation
Fabulous Fibonacci and His Nifty Numbers
Fibonacci numbers are not only found in the classroom but also in nature. Explore the concept of Fibonacci numbers through a series of lessons designed to gain insight into the mathematical reasoning behind the number pattern, and spark...
Virginia Department of Education
High School Mathematics Geometry Vocabulary Word Wall Cards
Having a good working knowledge of math vocabulary is especially important for geometry learners. Here are 119 pages worth of wonderfully constructed definitions, constructions, formulas, properties, theorems, and postulates. This is a...
Curated OER
Mathematical Reasoning
In this data analysis worksheet, students read a list of 4 criteria and then select the picture on the sheet that matches the criteria.
K-5 Math Teaching Resources
Show Your Work Recording Paper
"Show your work!" It's the math teacher's mantra. Support your class with meeting this reasonable requirement with this set of recording paper templates.
Curated OER
Mathematical Explorations of the People’s Design Award
Students conduct surveys using nominees from the People’s Design Award, analyze data, and present the results using a pictorial representation. In this lesson, students will then design their own contest and mathematically determine a...
EngageNY
Analyzing Graphs—Water Usage During a Typical Day at School
Connect your pupils to the problem by presenting a situation with which they can identify. Individuals analyze a graph of water use at a school by reasoning and making conclusions about the day. The lesson emphasizes units and labels of...
Curated OER
How does the solution change?
Four simple equations, each with two variables, try to get at the important question of reasoning about equations. The problem isn't to solve the equations, but to understand the nature of their solutions. These equations address the...
Curated OER
Defining Division
Upper graders explore division through fair-shares. They will review fair shares and fractions as a segway into division. They start by playing "Share Fairly" game and create mathematical arguments for solving problems. Manipulatives and...
Curated OER
Mind Benders: Name the Animals
In this deductive reasoning worksheet, students read the clues about a cat, a small do, a goat, and a horse and identify them. Students solve 3 answers.
Sargent Art
Color Value Study
I love geometric art because it applies mathematical reasoning to an artistic endeavor. Creative kids use scale values to highlight their complex, repetitive, geometric designs. Symmetry, angles, and congruence are three concepts that...
Illustrative Mathematics
What is a Trapezoid? (Part 2)
This collaborative activity investigates the meaning of a trapezoid and a parallelogram. It begins by presenting two different definitions of a trapezoid. Learners are to reason abstractly the difference between the two definitions and...
Curated OER
Counting on Frank
Eighth graders read a book "Counting on Frank" with a partner. Using the text, they identify eight clues and use their mathematical reasoning in real-life situations. They participate in a game and turn in a notebook in which they write...
Curated OER
Proof by Induction
In this induction worksheet, high schoolers read word problems. They determine the difference between inductive and deductive reasoning. Students solve the given problem through inductive reasoning. This one-page worksheet contains 1...
Noyce Foundation
Lawn Mowing
This is how long we mow the lawn together. The assessment requires the class to work with combining ratios and proportional reasoning. Pupils determine the unit rate of mowers and calculate the time required to mow a lawn if they work...
Noyce Foundation
Photographs
Scaling needs to be picture perfect. Pupils use proportional reasoning to find the missing dimension of a photo. Class members determine the sizes of paper needed for two configurations of pictures in the short assessment task.
Mathematics Assessment Project
Comparing Strategies for Proportion Problems
Having problems with proportions? Then solve these proportion problems with an exercise that asks learners to first individually solve a set of problems involving ratios and proportional reasoning. Groups then discuss provided sample...
California Education Partners
Linflower Seeds
How does your garden grow? Use proportions to help Tim answer that question. By using their understanding of proportional relationships, pupils determine the number of seeds that will sprout. They create their own linear relationships...
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