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
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Illustrative Mathematics

Listing Fractions in Increasing Size

For Teachers 3rd - 5th Standards
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...
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...
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
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

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...
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...
Lesson Plan
Illustrative Mathematics

Placing a Square Root on the Number Line

For Teachers 7th - 9th Standards
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...
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 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. 
Activity
101 Questions

Foreign Subway Order

For Teachers 6th - 8th Standards
Subway orders are the same in every language, right? An inquiry-based lesson presents a Subway ordering board from an Asian country. Given an order, learners must determine the cost by comparing symbols of the order to the symbols on the...
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...
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...
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...
Activity
Baylor College

Air: The Math Link

For Teachers 1st - 3rd Standards
Inflate this unit on the science of air with these math skills practice and word problems. Accompanying the children's story Mr. Slaptail's Secret, this resource covers a wide range of math topics including the four basic...
Activity
Baylor College

Resources and the Environment: The Math Link

For Teachers K - 2nd Standards
Take advantage of this interdisciplinary resource and bring together topics in science, language arts, and math. Use characters and events from the story Tillena Lou's Big Adventure as a context for practicing addition and...
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...
Lesson Plan
Curated OER

Find 2/3

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

Ordering Time

For Students 2nd Standards
Practice telling time to the nearest five minutes in a digital and analog clock activity. Learners are prompted to order clock cards in increasing time order, and then write the time each clock represents.
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...
Activity
101 Questions

Would You like Fries with Your Order?

For Teachers 6th - 8th Standards
Ever wonder what you are paying for a single fry at McDonald's? An engaging lesson compares the cost per fry in a small order to a larger order. It's a great application of unit rate that is sure to make your classes hungry for more!
Lesson Plan
Curated OER

Comparing Fractions with a Different Whole

For Teachers 3rd - 4th Standards
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...
Lesson Plan
Curated OER

Which is Closer to 1?

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

Running Laps

For Teachers 3rd - 5th Standards
If you run more laps, did you run further? Well, it depends. If the laps are different lengths, you need to do some math to answer that question. The goal of this task to is compare two fractions. Young learners represent the real-world...

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