Lesson Plan
Illustrative Mathematics

Ordering Numbers

For Teachers K - 2nd Standards
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...
Lesson Plan
Illustrative Mathematics

Which Number is Greater? Which Number is Less? How do you Know?

For Teachers K Standards
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...
Lesson Plan
Illustrative Mathematics

Ordering 4-digit Numbers

For Teachers 3rd - 5th Standards
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...
Assessment
Illustrative Mathematics

Ordering 3-Digit Numbers

For Students 2nd Standards
Second graders are asked to order two sets of two- and three-digit numbers from greatest to least, and then least to greatest.
Lesson Plan
Curated OER

Comparing Fractions with the Same Numerators, Assessment Variation

For Teachers 3rd - 4th Standards
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,...
Lesson Plan
Illustrative Mathematics

Irrational Numbers on the Number Line

For Teachers 7th - 9th Standards
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...
Lesson Plan
Illustrative Mathematics

Comparing Freezing Points

For Teachers 6th - 7th Standards
Subtracting negative numbers can be confusing to your middle schoolers. Here, they are able to draw a number line and put their answer in sentence form to check their understanding of negative numbers. 
Lesson Plan
EngageNY

Distance and Complex Numbers 1

For Teachers 11th - 12th Standards
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
Lesson Plan
Illustrative Mathematics

Sort and Count

For Teachers Pre-K - 1st Standards
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...
Activity
Illustrative Mathematics

Ordering Fractions

For Teachers 3rd - 4th Standards
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...
Lesson Plan
Illustrative Mathematics

Comparing Temperatures

For Teachers 5th - 7th Standards
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. 
Assessment
Mathed Up!

Ordering Numbers

For Students 5th - 7th Standards
Young mathematicians order numbers from least to greatest. Number types include whole numbers, decimals, and negative numbers.
Lesson Plan
Illustrative Mathematics

Comparing Two Different Pizzas

For Teachers 3rd - 5th Standards
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...
Lesson Plan
Curated OER

Rounding and Subtracting

For Teachers 6th - 8th Standards
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...
Lesson Plan
EngageNY

Comparing Integers and Other Rational Numbers

For Students 6th Standards
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.
Lesson Plan
EngageNY

Writing and Interpreting Inequality Statements Involving Rational Numbers

For Students 6th Standards
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.
Assessment
Charleston School District

Review Unit 7: Real Numbers

For Students 8th Standards
Provide pupils with problems to check their understanding of the concepts within the unit. The seven-part series of lessons covers concepts related to irrational numbers. Learners convert between fractions and decimals, estimate the...
Lesson Plan
Illustrative Mathematics

Growing Bean Plants

For Teachers K - 2nd Standards
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...
Assessment
Charleston School District

Pre-Test Unit 7: Real Numbers

For Students 8th - 9th Standards
Don't be irrational! Use this pre-test to assess your classes' ability to work with all types of real numbers. The lesson asks learners to estimate value, evaluate roots, and order numbers. This begins a series of lessons on the real...
Lesson Plan
Illustrative Mathematics

Equality Number Sentences

For Teachers K - 2nd Standards
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...
Activity
Illustrative Mathematics

Finding a Chair

For Teachers 1st - 2nd Standards
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...
Assessment
CCSS Math Activities

Smarter Balanced Sample Items: 6th Grade Math – Target D

For Teachers 6th Standards
Elevation often confuses people due to a misunderstanding of negative numbers. Scholars practice applied elevation problems in addition to absolute value and coordinate pair questions. Each slide presents one question to help pupils...
Assessment
EngageNY

Mid-Module Assessment Task: Grade 6 Math Module 3

For Students 6th Standards
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...
Lesson Plan
Illustrative Mathematics

Comparing Rational and Irrational Number

For Teachers 7th - 9th Standards
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...