EngageNY
Matrix Multiplication Is Not Commutative
Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...
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...
EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
EngageNY
Matrix Addition Is Commutative
Explore properties of addition as they relate to matrices. Using graphical representations of vector matrices, scholars test the commutative and associative properties of addition. They determine if the properties are consistent for...
EngageNY
Association Between Categorical Variables
Investigate associations between variables with two-way tables. Scholars continue their study of two-way tables and categorical variables in the 15th installment of a 21-part module. The instructional activity challenges them to...
Mathematics Assessment Project
Maximizing Area: Gold Rush
Presenting ... the gold standard for a lesson. Learners first investigate a task maximizing the area of a plot for gold prospecting. They then examine a set of sample student responses to evaluate their strengths and weaknesses.
Education Development Center
Integer Combinations—Postage Stamps Problem (MS Version)
Number patterns can seem mysterious. Help your learners unravel these mysteries as they complete an intriguing task. Through examination, collaborative groups determine that they are able to produce all integers above a certain...
Curated OER
Patterns That Grow
Students investigate growing patterns. In this additive patterns lesson, students analyze the core of growing patterns. Students extend additive patterns based on the core.
Curated OER
Word Problems Solved By S.M.S.
Learners solve word problems with a consumer math emphasis. This lesson plan also contains many strategies and questions learners can ask to solving problems. There is also a bibliography included for resources on problem solving.
Curated OER
One Revolution for Robot
Students calculate the revolution and circumference of circles. In this calculus lesson, students derive the formulas for their given shape. They use the d=rt to calculate the distance and rate of travel.
Illustrative Mathematics
Finding a Chair
Here is an activity that incorporates subtraction in word problems. Youngsters are provided with six word problems that essentially deal with the same numbers in each problem, yet use different comparison language. These problems are...
Curated OER
Constructing Tangrams
Seventh graders visualize and identify geometric shapes after applying transformations on a coordinate plane. In this tangrams lesson, 7th graders construct a set of tangrams and then answer extension questions related to measurement,...
Curated OER
Virtual Field Trip: Lodging and Meals
Students calculate the costs for lodging and meals for a virtual field trip. They calculate the number of nights lodging needed for road and city travel and the number of meals needed, the costs for each, and input the data using...
Curated OER
Navy Sail Design
High schoolers use the Pythagorean Theorem to explore sailboat design. In this Pythagorean Theorem lesson plan, two sides of a triangular sail are measured, and the theorem is used to calculate the third side. A worksheet, bulletin board...
Curated OER
Misleading Graphs
Students explore number relationships by participating in a data collection activity. In this statistics instructional activity, students participate in a role-play activitiy in which they own a scrap material storefront that must...
Curated OER
Virtual Field Trip/ Gasoline Cost
Students complete a word problem to determine the cost of gasoline per mile of their virtual field trip. They determine the travel time and gasoline costs for two routes and record the information on a data sheet. They check their work...
Illustrative Mathematics
Illustrative Mathematics: A rei.c.6: Find a System
The purpose of this task is to encourage learners to think critically about both the algebraic and graphical interpretation of systems of linear equations. Aligns with A-REI.C.6.
Illustrative Mathematics
Illustrative Mathematics: Reasoning About Multiplication
This is a good task to work with kids to try to explain their thinking clearly and precisely, although teachers should be willing to work with many different ways of explaining the relationship between the magnitude of the factors and...
Illustrative Mathematics
Illustrative Mathematics: Calculator Trouble
Even though students can solve this problem by multiplying, it is unlikely they will. Here it is much easier to answer the question if you can think of multiplying a number by a factor as scaling the number. Aligns with 5.NF.B.5.
Illustrative Mathematics
Illustrative Mathematics: Bowling for Numbers
The purpose of this game is to help students think flexibly about numbers and operations and to record multiple operations using proper notation. Aligns with 5.OA.A.1.
Illustrative Mathematics
Illustrative Mathematics: A Ced.2 and G Gmd.4: Global Positioning System I
This question examines the algebraic equations for three different spheres. The intersections of each pair of spheres are then studied, both using the equations and thinking about the geometry of the spheres. Aligns with A-CED.A.2 and...
Illustrative Mathematics
Illustrative Mathematics: A Sse the Physics Professor
In this task, students are asked to study the structure of an algebraic expression, draw conclusions, and explain their thinking. Aligns with A-SSE.A.1 and A-SSE.A.1.b.
Illustrative Mathematics
Illustrative Mathematics: 5.nf Fundraising
This task asks students to multiply rational numbers. Aligns with 5.NF.B.5.
Illustrative Mathematics
Illustrative Mathematics: 5.nf Grass Seedlings
For the sake of this commentary, let R be the height of Rual's seedlings (of course students do not need to use a letter to represent any number in this task). Student must compare the size of each of two products (112xR, and 34xR) to...