In this number tracing activity students create a rainbow number line. This can be a colorful tool with a personal connection to the student that may be used as a reference. It can serve as a visual and motor reminder when reading and writing numbers because the student went through the tracing motion.

This task requires students to determine whether a number is rational or irrational. The task assumes that students are able to express a given repeating decimal as a fraction.

In this 40-day module, students build on their Grade 3 work with unit fractions as they explore fraction equivalence and extend this understanding to mixed numbers.  This leads to the comparison of fractions and mixed numbers and the representation of both in a variety of models.  Benchmark fractions play an important part in students’ ability to generalize and reason about relative fraction and mixed number sizes.  Students then have the opportunity to apply what they know to be true for whole number operations to the new concepts of fraction and mixed number operations.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

This short video and interactive assessment activity is designed to teach third graders about arranging numbers in specific orders.

This short video and interactive assessment activity is designed to teach fourth graders about creating largest and smallest numbers given digits.

In this assessment in a one-to-one setting, a student is shown the numbers from 1Đ10, one number at a time, in random order. The teacher asks, Ňwhat number is this?"

Students critique and improve their work on the Self Check. They then extend their knowledge with additional problems.Students solve problems that require them to apply their knowledge of multiplying and dividing positive and negative numbers. Students will then take a quiz.Key ConceptsTo solve the problems in the Self Check, students must apply their knowledge of multiplication and division of positive and negative numbers learned throughout the unit.Goals and Learning ObjectivesUse knowledge of multiplication and division of positive and negative numbers to solve problems.

This is a task that includes greater than/less than, comparing numbers, and number sense

This task helps students understand the meaning of the equal sign and to use it appropriately.

The "operational amplifier" has two differential inputs and very high gain. Willy describes the symbol and properties of an op-amp. Op-amps are the backbone of analog circuit design. Created by Willy McAllister.

Ordinal Numbers
The Classroom

Students discuss as a class the important ways that listeners contribute to mathematical discussions during Ways of Thinking presentations. Students then use the properties of operations to find the value of each fruit used in equations.Key ConceptsStudents use the properties of operations to find the value of each fruit used in different equations. By considering several equations, students can match each of the 10 fruits to the whole numbers 0 through 9. This work helps students see why representing unknown numbers with letters is useful.Goals and Learning ObjectivesContribute as listeners during the Ways of Thinking discussion.Identify the whole numbers that make an equation true.Use the properties of operations, when appropriate, to justify which whole numbers represent unknown values.

The first module covers basic whole number concepts and operations.  These are the positive numbers most people recognize when thinking of numbers.  Whole numbers do not include fractions, decimals, and negative numbers, all of which are covered further in other modules.

This short video and interactive assessment activity is designed to teach fifth graders about dividing whole numbers by fractions.

This short video and interactive assessment activity is designed to teach fourth graders about selecting the numbers from a given set.

- KS3 lower level algebra introduction
- Inverse operations
- algebraic equations