Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
- Assessment Limits :
Expressions may contain whole numbers and up to one fraction with a denominator of 10 or less. Items may not require division with fractions. Items may not contain nested grouping symbols. - Calculator :
No
- Context :
No context
- Test Item #: Sample Item 1
- Question:
What is the value of the expression
?
- Difficulty: N/A
- Type: EE: Equation Editor
- Test Item #: Sample Item 2
- Question:
A numerical expression is evaluated as shown.
Step 1:
Step 2:
Step 3:
Step 4:
In which step does a mistake first appear?
- Difficulty: N/A
- Type: MC: Multiple Choice
- Test Item #: Sample Item 3
- Question:
What is the value of the expression
?
- Difficulty: N/A
- Type: EE: Equation Editor
Related Courses
Related Access Points
Related Resources
Formative Assessments
Lesson Plans
Original Student Tutorials
Problem-Solving Tasks
Tutorials
Unit/Lesson Sequence
Virtual Manipulative
STEM Lessons - Model Eliciting Activity
In this Model Eliciting Activity, MEA, the students will determine the best ad for a tennis shoe company.
Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx
MFAS Formative Assessments
Students are asked to evaluate two similar expressions and explain why the answers are different.
Students are asked to insert parentheses into an expression in two different ways, evaluate each way, and explain why the answers are different.
Students are given an equation and asked to place parentheses within the equation to make the equation true.
Students consider two different yet similar equations and determine if they are true.
Original Student Tutorials Mathematics - Grades K-5
Learn to evaluate expressions that have all four operations (multiplication, division, addition, and subtraction) and parentheses as you settle debates in this interactive tutorial.
Computer Science Original Student Tutorials
Construct efficient lines of code using condition- and if-statements to solve equations as you complete this interactive tutorial. You'll also review the order of operations in expressions.
This is part 2 of a 4-part series on coding. Click below to open the other tutorials in the series.
Learn how to perform instructions using an if statement and explore relational operators (less than, greater than, equal and not equal to) and how they are used to compare to values in this interactive tutorial.
Learn how to use repeat loops in this interactive tutorial. Repeat loops iterate though a list of instructions based on a desired number of times. Combined with variables, condition statements, if statements, and repeat loops we practice using order of operations to code.
This is part 1 of a 4-part series. Click below to check out the other tutorials in the series.
Student Resources
Original Student Tutorials
Learn how to use repeat loops in this interactive tutorial. Repeat loops iterate though a list of instructions based on a desired number of times. Combined with variables, condition statements, if statements, and repeat loops we practice using order of operations to code.
This is part 1 of a 4-part series. Click below to check out the other tutorials in the series.
- Bee A Coder Part 1: Declare Variables
- Bee A Coder Part 2: Condition Statements
- Bee A Coder Part 3: If Statements
Type: Original Student Tutorial
Learn how to perform instructions using an if statement and explore relational operators (less than, greater than, equal and not equal to) and how they are used to compare to values in this interactive tutorial.
Type: Original Student Tutorial
Construct efficient lines of code using condition- and if-statements to solve equations as you complete this interactive tutorial. You'll also review the order of operations in expressions.
This is part 2 of a 4-part series on coding. Click below to open the other tutorials in the series.
- Bee A Coder Part 1: Declare Variables
- Bee A Coder Part 3: If Statements
- Bee A Coder Part 4: Repeat Loops
Type: Original Student Tutorial
Learn to evaluate expressions that have all four operations (multiplication, division, addition, and subtraction) and parentheses as you settle debates in this interactive tutorial.
Type: Original Student Tutorial
Problem-Solving Task
This problem asks the student to evaluate six numerical expressions that contain the same integers and operations yet have differing results due to placement of parentheses. This type of problem helps students to see structure in numerical expressions. In later grades they will be working with similar ideas in the context of seeing and using structure in algebraic expressions.
Type: Problem-Solving Task
Tutorials
This Khan Academy tutorial video presents the impact of parentheses notation in an expression. As the tutorial does the same problem with and without parenthesis, negative numbers are part of the solution.
Type: Tutorial
In this video, you will work through an example to correctly use the order of operations.
Type: Tutorial
In this video, you will see why it is important to have one agreed upon order of operations.
Type: Tutorial
Virtual Manipulative
In this activity, students practice solving algebraic expressions using order of operations. The applet records their score so the student can track their progress. This activity allows students to practice applying the order of operations when solving problems. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.
Type: Virtual Manipulative
Parent Resources
Problem-Solving Tasks
The purpose of this game is to help students think flexibly about numbers and operations and to record multiple operations using proper notation. Students eager to knock down all of the pins quickly develop patterns in their expressions. They may re-use parts of an expression, perhaps changing just the final operation.
Type: Problem-Solving Task
This problem asks the student to evaluate six numerical expressions that contain the same integers and operations yet have differing results due to placement of parentheses. This type of problem helps students to see structure in numerical expressions. In later grades they will be working with similar ideas in the context of seeing and using structure in algebraic expressions.
Type: Problem-Solving Task