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Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
Mathematics Assessment Project
Solving Linear Equations
Linear equations are the focus of activities that ask learners to first complete a task that involves interpreting algebraic expressions and solving linear equations. They then take part in a card activity matching...
Education Development Center
Extending Patterns with Exponents
Don't think negatively about exponents. Young mathematicians dissect a fictional conversation between pupils trying to evaluate an expression with a negative exponent. This allows them to understand the meaning of negative exponents.
Achieve
Spread of Disease
Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...
Mathematics Assessment Project
Increasing and Decreasing Quantities by a Percent
As part of a study of percent and percent change, learners first complete an assessment task with several percent change problems. They then complete an activity using cards to create a diagram expressing percent increases and...
Illustrative Mathematics
Bowling for Numbers
When do teams want a strike? When they are playing this fun math game modeled after bowling. First, class teams roll four dice to generate the numbers they will use in that round, called a frame, of the game. Next, pins numbered 1...
EngageNY
Comparing Methods—Long Division, Again?
Remember long division from fifth grade? Use the same algorithm to divide polynomials. Learners develop a strategy for dividing polynomials using what they remember from dividing whole numbers.
EngageNY
The Relationship of Division and Subtraction
See how division and subtraction go hand-in-hand. The fourth installment of a 36-part module has scholars investigate the relationship between subtraction and division. They learn using tape diagrams to see that they can use repeated...
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
Throwing Horseshoes
Collaborative learners interpret a quadratic expression written in different forms in this task centered on throwing horseshoes.
Curated OER
Using Algebra Tiles to Explore Distributive Property
Math is fun with algebra tiles! Young mathematicians explore eight expressions involving the distributive property and use algebra tiles to expand simple expressions. The resource is perfect for both guided and independent practice.
EngageNY
Putting It All Together
Shuffle 'em up and deal! Learners practice operations with polynomials using cards they pass around the room. The activity works with pairs or individuals, so it offers great flexibility. This is the fifth installment in a series of 42...
Illustrative Mathematics
Distance to School
A single problem requires learners to write two expressions representing the total distance between a student's home and school over a time span of four weeks. A thorough commentary follows that will help you explore the solutions with...
EngageNY
Replacing Letters with Numbers II
Teach about properties properly. Individuals investigate the commutative and identity properties for both addition and multiplication. They see that the properties hold true for all values by using substitution to test out several examples.
Curated OER
Interesting Integers and Exciting Equations
An 80-page resource provides four lessons and all associated worksheets to teach middle schoolers about expressions and equations. The lessons are hands-on, using games, "integer chips," a balance and cubes, and cut and paste activities....
Centre for Education in Mathematics and Computing
Number Sense and Numeration: Exponents
On a three-page assignment, number crunchers will examine the laws of exponents and apply them to a variety of problems. They write expressions in exponential form or as repeated multiplication. They evaluate and simplify exponential...
Bowland
DanceStar
Express dance moves mathematically. Scholars dissect dance routines and express them using mathematical notation, such as translations and rotations. They use video clips to investigate seven different dance genres.
California Education Partners
Least and Greatest
Squares can be magic. Pupils use their knowledge of addition of positive and negative rational numbers to create a 3 X 3 magic square where the sums are 1. Scholars create addition and multiplication expressions with a set of rational...
Howard Hughes Medical Institute
Understanding Variation
Does where we live influence how our bodies express genetic traits? Explore variation in human skin color with an activity that incorporate video and hands-on learning. Individuals model the relationship between phenotypes and genotypes,...
EngageNY
Dividing by (x – a) and (x + a)
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
Curated OER
Do You Feel Lucky?
Young scholars explore probability by using games based on probable outcomes of events. They name all of the possible outcomes of an event and express the likelihood of such an event occurring.
02 x 02 Worksheets
Factoring
Factor in this resource when teaching how to factor polynomials. Scholars use algebra tiles to factor linear and quadratic expressions. They practice their skill by working on example problems from a worksheet.
Illustrative Mathematics
Video Game Scores
Eric and Leila's video game scores are the inspiration for writing equations with parenthesis. The numbers are purposefully large to deter the class from calculating them: rather this activity meets the standard that asks 5th graders to...
Ohio Department of Education
Writing and Comparing Numbers in Scientific Notation-Grade Eight
Explore scientific notation in this mathematics lesson. Young mathematicians explore multiple representations of large number in scientific notation through the use of models, visual representation and expanded form. The lesson provided...