Illustrative Mathematics
Checking a calculation of a decimal exponent
In a writing prompt, learners are asked to check the calculation of a decimal exponent without a calculator. Use as an opener or assessment after studying fractional exponents. Requires a strong understanding of exponents and roots to...
Concord Consortium
Boards I
Learners create patterns in a table to mimic the function of an electronic spreadsheet. The result is a table that creates an addition table for decimals in intervals of one-tenth. While creating the pattern, pupils must thoroughly...
Curated OER
Modeling: Having Kittens
Cats can't add, but they do multiply! Determine the number of descendants of a single cat given specific facts about cats and kittens. The lesson focuses on developing strategies for problem solving using both individual and group work....
Discovery Education
Subtraction with 3-Digits Numbers #1
Looking for a simple way to practice 3-digit subtraction? Use this review page to reinforce your second and third graders' subtraction skills. It includes twenty problems for them to solve, as well as five problems using money. Useful as...
Concord Consortium
Gravity
Weight is a function of the distance from sea level. Learners explore the many implications of this fact in an inquiry-based task. Given the function, pupils answer questions before manipulating the function to rewrite the distance from...
Concord Consortium
Metric Volume
Master metric measurements. Given the fact that the volume of one milliliter of water is one cubic centimeter, scholars figure out the volume of one liter of water. They must determine the correct unit of length for a unit cube that...
Curated OER
Reading Comprehension 1: Level 11
Here’s a reading comprehension assessment that will capture the interest of your learners. Stink bugs and the danger they pose to farmers is the subject of the passage, while the eight questions ask readers to infer, predict, summarize...
Illustrative Mathematics
Temperatures in degrees Fahrenheit and Celsius
Learners investigate the relationship between the Fahrenheit and Celsius temperature scales. Given two data points, they construct a linear function to describe the relationship, find the inverse of the function, and make observations...
Illustrative Mathematics
Grass Seedlings
Plants never grow at the same rate, and that is the antithesis for this word problem involving multiplication of fractions. On the worksheet, Raul notices that Pablo's seedlings are 1 1/2 times as tall, and Celina's seedlings are 3/4 as...
Curated OER
Multiplication Facts
In this multiplication activity, students solve multiplication fact problems containing one digit numbers. Students solve 78 problems on each of the 30 pages.
Bowland
Cats and Kittens
Can a cat have 2,000 descendants in 18 months? To determine if this claim is realistic, individuals must take different pieces of information into account when justifying their responses.
Bowland
Bunting
How much fabric is necessary for bunting? Scholars use given dimensions of triangular bunting (hanging decorations) to determine the amount of fabric necessary to decorate a rectangular garden. The task requires pupils to consider how...
Bowland
Soft Drinks
"Statistics are no substitute for judgment" - Henry Clay. Young mathematicians use provided statistics from a soda taste test to explain why conclusions are faulty. They devise a new test that would be more appropriate than the one given.
Virginia Department of Education
Factors, Zeros, and Solutions
Factors, zeros, and solutions, oh my! Don't let your classes become overwhelmed with the vocabulary. An engaging lesson plan helps learners make a connection between factors, zeros, and solutions. Pupils explore the relationship between...
Virginia Department of Education
Factoring
Uncover the relationship between factoring quadratics and higher degree polynomials. Learners develop their factoring skills through repetition. A comprehensive instructional activity begins with quadratics and shows how to use the same...
Virginia Department of Education
Integers: Multiplication and Division
Rules are meant to be broken ... but not integer multiplication and division rules. Learners use chips to model integer multiplication and division. The results of the activity help them develop integer rules for these operations.
Illustrative Mathematics
Zeroes and factorization of a quadratic polynomial I
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
Curated OER
Part-Whole Mats
A part-whole mat is a great way to practice simple addition using math manipulatives. Learners choose a number card and place it at the top of their mat. Using counters, they record the different number pairs which would add together to...
Illustrative Mathematics
Midpoints of the Sides of a Paralellogram
This task asks learners to prove that the segment joining the midpoints of two sides of a parallelogram is both congruent and parallel to an adjacent side of the parallelogram. The activity would be good to use in a discussion about how...
Center for Mathematics and Technology
Whole Numbers: Using an Area Model to Explain Multiplication
There are many ways to work through a multiplication problem. Using an area model, kids complete several worksheets with different types of multiplication problems, including multiplying by ten, and explain how the new strategies differ...
EngageNY
Ptolemy's Theorem
Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.
Concord Consortium
Calculator Numbers
Know thy calculator. Young mathematicians use their calculators to answer a set of questions. They consider how the number of digits the calculator displays affects the answers to calculations. They then find examples of computations...
Illustrative Mathematics
An Integer Identity
Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...
Concord Consortium
Rule of 72
Find an easier way to double it. Using the price of an item and the Consumer Price Index, learners determine how long it will be for the price to double. Scholars calculate the length of time it would take for the price to double using a...