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.
Related Standards
Related Access Points
Access Points
Related Resources
Formative Assessments
Lesson Plans
Original Student Tutorials
Problem-Solving Tasks
Tutorials
Unit/Lesson Sequence
Virtual Manipulative
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 how to write mathematical expressions while making faces in this interactive tutorial!
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 Tasks
This task asks students to exercise both of these complementary skills, writing an expression in part (a) and interpreting a given expression in (b). The numbers given in the problem are deliberately large and "ugly" to discourage students from calculating Eric's and Leila's scores. The focus of this problem is not on numerical answers, but instead on building and interpreting expressions that could be entered in a calculator or communicated to another student unfamiliar with the context.
Type: Problem-Solving Task
The purpose of this task is to help students see that 4×(9+2) is four times as big as (9+2). Though this task may seem very simple, it provides students and teachers with a very useful visual for interpreting an expression without evaluating it because they can see for themselves that 4×(9+2) is four times as big as (9+2).
Type: Problem-Solving Task
The purpose of this task is to generate a classroom discussion that helps students synthesize what they have learned about multiplication in previous grades. It builds on applying properties of operations as strategies to multiply and divide and interpreting a multiplication equation as a comparison.
Type: Problem-Solving Task
This problem allows student to see words that can describe an expression although the solution requires nested parentheses. Additionally , the words (add, sum) and (product, multiply) are all strategically used so that the student can see that these words have related meanings.
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
Tutorials
This Khan Academy tutorial video interprets written statements and writes them as mathematical expressions.
Type: Tutorial
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
This Khan Academy tutorial video demonstrates how to write a simple expression from a word problem.
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
This task asks students to exercise both of these complementary skills, writing an expression in part (a) and interpreting a given expression in (b). The numbers given in the problem are deliberately large and "ugly" to discourage students from calculating Eric's and Leila's scores. The focus of this problem is not on numerical answers, but instead on building and interpreting expressions that could be entered in a calculator or communicated to another student unfamiliar with the context.
Type: Problem-Solving Task
The purpose of this task is to help students see that 4×(9+2) is four times as big as (9+2). Though this task may seem very simple, it provides students and teachers with a very useful visual for interpreting an expression without evaluating it because they can see for themselves that 4×(9+2) is four times as big as (9+2).
Type: Problem-Solving Task
The purpose of this task is to generate a classroom discussion that helps students synthesize what they have learned about multiplication in previous grades. It builds on applying properties of operations as strategies to multiply and divide and interpreting a multiplication equation as a comparison.
Type: Problem-Solving Task
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 allows student to see words that can describe an expression although the solution requires nested parentheses. Additionally , the words (add, sum) and (product, multiply) are all strategically used so that the student can see that these words have related meanings.
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