Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is [...]

Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of [...]

Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can [...]

Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, [...]

Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to [...]

Understand a fraction a/b with a > 1 as a sum of fractions 1/b. (Grade 4 expectations in this domain [...]

Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is [...]

Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for [...]

Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which [...]

Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple [...]

Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not [...]

Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the [...]

Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on [...]

Model how information is broken down into smaller pieces, transmitted as packets through multiple devices over networks and the Internet, [...]

Discuss real-world cybersecurity problems and how personal information can be protected.

Organize and present collected data visually to highlight relationships and support a claim.

Use data to highlight or propose cause-and-effect relationships, predict outcomes, or communicate an idea.

Compare and refine multiple algorithms for the same task and determine which is the most appropriate.

Create programs that use variables to store and modify data.

Create programs that include sequences, events, loops, and conditionals.

Decompose (break down) problems into smaller, manageable subproblems to facilitate the program development process.

Modify, remix, or incorporate portions of an existing program into one's own work, to develop something new or add more [...]

Use an iterative process to plan the development of a program by including others' perspectives and considering user preferences.

Observe intellectual property rights and give appropriate attribution when creating or remixing programs.

Test and debug (identify and fix errors) a program or algorithm to ensure it runs as intended.

Take on varying roles, with teacher guidance, when collaborating with peers during the design, implementation, and review stages of program [...]

Describe choices made during program development using code comments, presentations, and demonstrations.

Discuss computing technologies that have changed the world, and express how those technologies influence, and are influenced by, cultural practices.

Brainstorm ways to improve the accessibility and usability of technology products for the diverse needs and wants of users.

Seek diverse perspectives for the purpose of improving computational artifacts.

Use public domain or creative commons media, and refrain from copying or using material created by others without permission.

Describe how internal and external parts of computing devices function to form a system.

Model how computer hardware and software work together as a system to accomplish tasks.

Determine potential solutions to solve simple hardware and software problems using common troubleshooting strategies.

Students recognize and utilize the features and functions of a variety of creation or communication tools.

Student create original works and learn strategies for remixing or repurposing to create new artifacts.

Students create digital artifacts to communicate ideas visually and graphically.

Students learn about audience and consider their expected audience when creating digital artifacts and presentations.

Students use digital tools to broaden their perspectives and enrich their learning by collaborating with others and working effectively in [...]

Students use digital tools to work with friends and people from different backgrounds or cultures.

Students use collaborative technologies to connect with others, including peers, experts and community members, to explore different points of view [...]

Students perform a variety of roles within a team using age-appropriate technology to complete a project or solve a problem.

Students work with others using collaborative technologies to explore local and global issues.

Students recognize the rights, responsibilities and opportunities of living, learning and working in an interconnected digital world, and they act [...]

Students demonstrate an understanding of the role an online identity plays in the digital world and learn the permanence of [...]

Students practice and encourage others in safe, legal and ethical behavior when using technology and interacting online, with guidance from [...]

Students learn about, demonstrate and encourage respect for intellectual property with both print and digital media when using and sharing [...]

Students critically curate a variety of resources using digital tools to construct knowledge, produce creative artifacts and make meaningful learning [...]