Illustrative Mathematics
Ordering Numbers
Deepen the number sense of young mathematicians with this unique ordering exercise. Given a list of the numbers 1, 5, 10, 50, and 100, young learners must determine where the numbers from a second list fit in the sequence. To increase...
Mathed Up!
Ordering Numbers
Young mathematicians order numbers from least to greatest. Number types include whole numbers, decimals, and negative numbers.
Illustrative Mathematics
Listing Fractions in Increasing Size
Increase the depth of your class's fractional number sense with this number-ordering activity. Given four fractions, each with different numerators and denominators, young learners are asked to place them in order from smallest to...
Illustrative Mathematics
Which Number is Greater? Which Number is Less? How do you Know?
When comparing groups of objects, it's easy for children to identify which has more, but it's not so easy for them to explain their reasoning. This simple whole-group activity provides multiple opportunities for learners to compare...
Illustrative Mathematics
Ordering Fractions
Here is a comparing and ordering fractions learning activity that extends young mathematicians understanding of fractions with like and non-like denominators. By representing and explaining each fraction in a picture or diagram, students...
Curated OER
Comparing Fractions with the Same Numerators, Assessment Variation
Have your class demonstrate their ability to compare fractions with this short multiple-choice assessment. Using the fractions 9/8 and 9/4, the students first make comparisons using both words and the greater than/less than signs. Next,...
Illustrative Mathematics
Ordering 4-digit Numbers
Place value is a concept that sets a foundation for mathematical understanding. Ordering these sets of three- and four-digit numbers will help to strengthen that foundation. A great independent practice worksheet or short assessment to...
Illustrative Mathematics
Equality Number Sentences
Understanding the concept of equality is fundamental to the success of young mathematicians. To explore this basic idea, children compare the dots arranged in pairs of rectangles in order to determine whether or not they contain an equal...
Illustrative Mathematics
Placing a Square Root on the Number Line
There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...
Illustrative Mathematics
Irrational Numbers on the Number Line
There are four irrational numbers that participants need to graph. Pi(π), -(½ x π), and √17 are easy to approximate with common rational numbers. On the other hand, the commentary describing the irrational number 2√2 is not...
EngageNY
Comparing Integers and Other Rational Numbers
The ninth installment of a 21-part module has pupils compare integers and rational numbers in decimal and fraction form. They match stories to number lines and compare values in the stories.
Illustrative Mathematics
Ordering 3-Digit Numbers
Second graders are asked to order two sets of two- and three-digit numbers from greatest to least, and then least to greatest.
Illustrative Mathematics
Comparing Temperatures
Which is colder -12 or -18? Temperature is natural real-world application of ordering rational numbers. It's also fun to talk about the lowest recorded temperature on Earth. Take the time to discuss this inquiry with your class.
Illustrative Mathematics
Sort and Count
Young mathematicians are on their feet and moving around in this primary grade sorting activity. After giving each child an object or picture card, they then sort themselves into groups, counting to see which has the most or least...
Illustrative Mathematics
Comparing Rational and Irrational Number
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...
Curated OER
Rounding and Subtracting
Common Core is all about getting your learners to open their minds and think about the why and how. This problem has them thinking about unknown numbers and their relationship with one another when we round and...
Illustrative Mathematics
Growing Bean Plants
Plant growth experiments offer rich, cross-curricular learning opportunities that can really excite and engage young learners. For this series, children work in pairs planting, measuring, and comparing the height of bean plants in order...
Fluence Learning
Writing About Literature: Comparing and Contrasting Characters in Heidi
Scholars read excerpts from the story, Heidi, in a three-part assessment that focuses on comparing and contrasting characters. Each part contains three tasks that challenge learners to discuss, answer comprehension...
Curated OER
Find 2/3
This short problem with representing fractions on a number line is more than meets the eye. Labeled only with the numbers zero and 1/4, a number line is used to locate the fraction 2/3. A solution can be found in multiple ways, but young...
EngageNY
Writing and Interpreting Inequality Statements Involving Rational Numbers
Statements often have multiple interpretations — but not these inequality statements. Scholars compare rational numbers and write inequality statements symbolically. The lesson includes problems that require comparing three numbers.
EngageNY
Mid-Module Assessment Task: Grade 6 Math Module 3
Ensure your class has a solid understanding of positive and negative integers before moving on. The 14th installment of a 21-part series is a mid-module assessment. Scholars solve problems on positive and negative integers, on...
Illustrative Mathematics
Comparing Two Different Pizzas
What better way to learn about fractions than with a couple pizzas? Help Jessica figure out how much of the pizza she has eaten, while teaching your class that fractions refer to a specific whole amount. This problem will be challenging...
Curated OER
Comparing Fractions with a Different Whole
What was Bryce's mistake? Through analysis of a student work example, learners develop their own ability to compare the fractions one fourth and one half. Central to this activity is the concept that, when comparing fractions, the whole...
Curated OER
Which is Closer to 1?
A seemingly simple question that reveals a lot about a student's understanding of fractions. In finding an answer, learners compare fractions with different denominators that are both greater and less than one. No number line is...