Mathematics Assessment Project
Generalizing Patterns: The Difference of Two Squares
After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.
Mathematics Assessment Project
Generalizing Patterns: Table Tiles
As part of a study of geometric patterns, scholars complete an assessment task determining the number of tiles needed to cover a tabletop. They then evaluate provided sample responses to see different ways to solve the same...
Project Maths
Introduction to Trigonometry
The topic of trigonometric ratios is often covered with loads of rote memorization baked into the activity. This activity set, however, leans more on using similar triangles and discovery learning to help young geometers develop a deeper...
Mathematics Assessment Project
Sorting Equations and Identities
Identify the identity. Learners first solve equations to find the number of solutions. Scholars then determine if given equations are always, sometimes, or never true, leading to the concept of identities.
Willow Tree
Equations of a Line
Each form of a linear equation has its purpose — pupils just have to find it. Building on the previous instructional activity in the series, learners examine point-slope and standard form. Using point-slope form, pupils write the...
EngageNY
Efficacy of Scientific Notation
How many times could California fit into the entire United States? Pupils use scientific notation to find the answer to that question in the 12th installment of 15 lessons. It asks scholars to write numbers in scientific notation and...
EngageNY
Newton’s Law of Cooling, Revisited
Does Newton's Law of Cooling have anything to do with apples? Scholars apply Newton's Law of Cooling to solve problems in the 29th installment of a 35-part module. Now that they have knowledge of logarithms, they can determine the decay...
EngageNY
Representing Proportional Relationships with Equations
Use the constant of proportionality to relate the independent variable to the dependent variable. The eighth installment of a 22-part series instructs pupils to use the equation to find the constant of proportionality and then write the...
Curated OER
Rolling Marbles
Students develop and use problem solving strategies to mathematically solve a word problem involving marbles. They solve the first part of the problem together as a class, and in small groups solve and write a solution for the problem...
Curated OER
Applications and Problem Solving Using Quadratic Equations
In this math worksheet, students solve problems in the form of quadratic equations after translating into expressions from words.
Curated OER
Moving-Math Hopscotch
Students engage in a hopscotch game where each square represents a number. In this mental math and movement lesson plan, students take turns playing traditional hopscotch, but add a mental math component where they add or subtract...
Curated OER
Problem Solving
Students use hockey sticks to pick up bean bags and put them into hoops which they get money for in the end. In this movement and math lesson plan, students get fake money and add up how much they earned in the end based on how many...
Curated OER
Math: Reasoning and Problem Solving using Voyages
Students plan a voyage as the captain of a tall ship in the early days of exploration and merchant trading. They choose 2 ships and 3 voyages for a total of 6 possibilities. They calculate the number of days and distance of their...
Curated OER
Right on Time
The hour is nigh for your class to practice equivalency problems in the form of time-zone conversions. They write equations to describe elapsed time and apply problem solving strategies, including writing a plan, to solve the problems.
Curated OER
Number Sentences
Fifth graders become familiar with problem solving strategies of guess and check and working backwards. They demonstrate the basic concepts of addition, subtraction, multiplication, and division using a math sentence.
Curated OER
Multiple Variables in an Equation
Young mathematicians apply problem-solving skills to equations that have more than one variable. They will work through the process to problem solve and discover the solution.
Illustrative Mathematics
Voting for Two, Variation 3
After calculating election votes, your learners must determine how many votes the winner, John, got above 50%. This multi-step problem encourages them to think in a deeper way about what the question is asking them to find. Use with...
Illustrative Mathematics
Voting for Two, Variation 4
After elections, the total amount of votes is not specified but the ratio of votes is. Your learners' job is to determine the fraction of votes John received above half of all votes. The problem can be solved abstractly or by other...
Curated OER
How Much Will Movies Cost In The Future?
Students use data collection and analysis, statistics, and probability in problem-solving situations and communicate the reasoning used in solving these problems.
Illustrative Mathematics
Voting for Two, Variation 1
The votes are in and your mathematicians are going to calculate how many votes each candidate received. Three different solution choices are given, depending on which method is taught. Have your learners set up a table, compute parts, or...
Curated OER
Get Me to the Premiere on Time
Young scholars discover how to calculate speed, distance, and rate. In this problem solving lesson, students view an episode of "Cyberchase" and use the distance formula to determine the fastest route that the main character in the...
Curated OER
Perimeter and Area 5
In this calculating area worksheet, middle schoolers use their problem solving skills and the information provided to find the area of 6 triangles.
Curated OER
Perimeter and Area 2
In this calculating area worksheet, students use their problem solving skills and the information provided to find the area of 6 rectangles.
Curated OER
Perimeter and Area 4
In this calculating area worksheet, students use their problem solving skills and the information provided to find the area of 6 rectangles.
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