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...
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...
EngageNY
Distance and Complex Numbers 1
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...
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...
Los Angeles County Office of Education
Assessment for the California Mathematics Standards Grade 1
Here is an assessment designed to test mathematicians' knowledge of writing numbers, comparing numbers, skip counting, solving addition and subtraction problems; along with measuring objects, telling time, identifying shapes, reading...
Illustrative Mathematics
Comparing Freezing Points
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.
Illustrative Mathematics
Using Benchmarks to Compare Fractions
Introduce a new strategy for comparing fractions by analyzing Melissa's use of benchmarks. Walk the class through her process, calling on students to explain their understanding of each step she took. Then practice this method on two...
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.
EngageNY
Distance and Complex Numbers 2
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th lesson in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to find...
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...
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.
Charleston School District
Review Unit 7: Real Numbers
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...
Charleston School District
Pre-Test Unit 7: Real Numbers
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...
Los Angeles County Office of Education
Assessment for the California Mathematics Standards Grade 5
Test young mathematicians' knowledge with an assessment aligned to California's fifth grade state standards. The exam covers a multitude of concepts including fractions and decimals, positive and negative numbers, measurement; and...
EngageNY
Exploiting the Connection to Trigonometry 1
Class members use the powers of multiplication in the 19th installment of the 32-part unit has individuals to utilize what they know about the multiplication of complex numbers to calculate the integral powers of a complex...
EngageNY
Part of a Whole as a Percent
Pupils use visual models, numeric methods, and equations to solve percent problems. To complete the second installment of 20, they find the part given the percent and the whole, find the percent given the part and the whole, and find the...
EngageNY
Interpreting Division of a Whole Number by a Fraction—Visual Models
Connect division with multiplication through the use of models. Groups solve problems involving the division of a whole number by a fraction using models. The groups share their methods along with the corresponding division and...
Illustrative Mathematics
Finding a Chair
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...
Los Angeles County Office of Education
Assessment for the California Mathematics Standards Grade 2
Test scholars mathematic skills with an assessment addressing addition, subtraction, multiplication, place value, measurement, geometric shapes, expanded notation; and their ability to compare numbers, write number...
Mathed Up!
Ordering Numbers
Young mathematicians order numbers from least to greatest. Number types include whole numbers, decimals, and negative numbers.
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...
Illustrative Mathematics
Comparing Products
How can 5th graders show understanding that 30 x 225 is half of 60 x 225 without completing the computation? They can use an area model and draw it out. An array, or an open array, is an area model that allows for young learners to...
Illustrative Mathematics
Use Cavalieri’s Principle to Compare Aquarium Volumes
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required. From calculating the volume of a composite shape through the...
Illustrative Mathematics
Fractions on the Number Line
Fractions are a common fear in school, but visualizing them on a number line can help your learners understand their relationship to one another. The activity provides two solutions; use either a number line or a common denominator....