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
Student Center Activity
Teaching Idea
Tutorials
Unit/Lesson Sequence
Video/Audio/Animation
Virtual Manipulatives
Student Resources
Original Student Tutorials
Evaluate numerical expressions with fractions using the order of operations and properties of operations in this interactive tutorial.
Type: Original Student Tutorial
Evaluate numerical expressions with decimals using the order of operations and properties of operations in this interactive tutorial.
Type: Original Student Tutorial
Evaluate numerical expressions with whole numbers using the order of operations and properties of operations in this interactive tutorial.
This is part 2 of a series on evaluating expressions with whole numbers.
Type: Original Student Tutorial
Evaluate numerical expressions with integers using the order of operations and properties of operations in this interactive tutorial.
Type: Original Student Tutorial
Explore computer coding on the farm by using IF statements and repeat loops to evaluate mathematical expressions. In this interactive tutorial, you'll also solve problems involving inequalities.
Click below to check out the other tutorials in the series.
- MacCoder’s Farm Part 1: Declare Variables
- MacCoder’s Farm Part 2: Condition Statements
- MacCoder's Farm Part 3: IF Statements
Type: Original Student Tutorial
Explore computer coding on the farm by using relational operators and IF statements to evaluate expressions. In this interactive tutorial, you'll also solve problems involving inequalities.
Click below to check out the other tutorials in the series.
- MacCoder’s Farm Part 1: Declare Variables
- MacCoder's Farm Part 2: Condition Statements
- MacCoder's Farm Part 4: Repeat Loops
Type: Original Student Tutorial
Explore computer coding on the farm by using condition and IF statements in this interactive tutorial. You'll also get a chance to apply the order of operations as you using coding to solve problems.
Click below to check out the other tutorials in the series.
- MacCoder's Farm Part 1: Declare Variables
- MacCoder’s Farm Part 3: If Statements
- MacCoder's Farm Part 4: Repeat Loops
Type: Original Student Tutorial
Explore computer coding on the farm by declaring and initializing variables in this interactive tutorial. You'll also get a chance to practice your long division skills.
Type: Original Student Tutorial
Evaluate numerical expressions with whole numbers using the order of operations and properties of operations in this interactive tutorial.
Type: Original Student Tutorial
Problem-Solving Tasks
This tasks gives a verbal description for computing the perimeter of a rectangle and asks the students to find an expression for this perimeter. They then have to use the expression to evaluate the perimeter for specific values of the two variables.
Type: Problem-Solving Task
Students are asked to determine if given expressions are equivalent.
Type: Problem-Solving Task
The purpose of this task is to ask students to write expressions and to consider what it means for two expressions to be equivalent.
Type: Problem-Solving Task
Students are asked to explore and then write an expression with an exponent. The purpose of this task is to introduce the idea of exponential growth and then connect that growth to expressions involving exponents. It illustrates well how fast exponential expressions grow.
Type: Problem-Solving Task
The purpose of this task is to give students an opportunity to solve a challenging multistep percentage problem that can be approached in several different ways. Students are asked to find the cost of a meal before tax and tip when given the total cost of the meal. The task can illustrate multiple standards depending on the prior knowledge of the students and the approach used to solve the problem.
Type: Problem-Solving Task
This task asks students to find equivalent expressions by visualizing a familiar activity involving distance. The given solution shows some possible equivalent expressions, but there are many variations possible.
Type: Problem-Solving Task
Students are asked to use properties of operations to match expressions that are equivalent and to write equivalent expressions for any expressions that do not have a match.
Type: Problem-Solving Task
Student Center Activity
Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete.
Type: Student Center Activity
Tutorials
Students will learn that non-zero numbers to the zero power equal one. They will also learn that zero to any positive exponent equals zero.
Type: Tutorial
In this video, you will practice using arithmetic properties with integers to determine if expressions are equivalent.
Type: Tutorial
You will discover rules to help you determine the sign of an exponential expression with a base of -1.
Type: Tutorial
Learn how to apply the distributive law of multiplication over addition and why it works. This is sometimes just called the distributive law or the distributive property.
Type: Tutorial
Learn how to apply the distributive property of multiplication over subtraction. This is sometimes just called the distributive property or distributive law.
Type: Tutorial
Learn how to apply the distributive property to algebraic expressions.
Type: Tutorial
Learn how to evaluate an expression with variables using a technique called substitution.
Type: Tutorial
This video demonstrates evaluating expressions with two variables.
Type: Tutorial
Explore how the value of an algebraic expression changes as the value of its variable changes.
Type: Tutorial
In this example, we have a formula for converting a Celsius temperature to Fahrenheit.
Type: Tutorial
Students will simplify an expression by combining like terms.
Type: Tutorial
This tutorial is an explanation on how to combine like terms in algebra.
Type: Tutorial
This is an introduction to combining like terms in this tutorial.
Type: Tutorial
Students will evaluate expressions using the order of operations.
Type: Tutorial
Work through a challenging order of operations example with only positive numbers.
Type: Tutorial
Work through a challenging order of operations example with only positive numbers.
Type: Tutorial
This video will show how to evaluate expressions with exponents using the order of operations.
Type: Tutorial
This video demonstrates how to evaluate expressions with whole number exponents.
Type: Tutorial
Evaluating Expressions with Two Variables
Type: Tutorial
In this example we have a formula for converting Celsius temperature to Fahrenheit. Let's substitute the variable with a value (Celsius temp) to get the degrees in Fahrenheit. Great problem to practice with us!
Type: Tutorial
Great question. In algebra, we do indeed avoid using the multiplication sign. We'll explain it for you here.
Type: Tutorial
Our focus here is understanding that a variable is just a letter or symbol (usually a lower case letter) that can represent different values in an expression. We got this. Just watch.
Type: Tutorial
The distributive property states that the terms of addition or subtraction statements within parentheses may be separately multiplied by a value outside the parentheses. In this tutorial, students will learn the distributive property, which is very helpful with mental math calculations and solving equations.
Type: Tutorial
Take a look at the logic behind the associative and distributive properties of multiplication.
Type: Tutorial
A look behind the fundamental properties of the most basic arithmetic operation, addition
Type: Tutorial
The commutative property is common to the operations of both addition and multiplication and is an important property of many mathematical systems.
Type: Tutorial
This Khan Academy presentation models solving two-step equations with one variable.
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 tasks gives a verbal description for computing the perimeter of a rectangle and asks the students to find an expression for this perimeter. They then have to use the expression to evaluate the perimeter for specific values of the two variables.
Type: Problem-Solving Task
Students are asked to determine if given expressions are equivalent.
Type: Problem-Solving Task
The purpose of this task is to ask students to write expressions and to consider what it means for two expressions to be equivalent.
Type: Problem-Solving Task
Students are asked to explore and then write an expression with an exponent. The purpose of this task is to introduce the idea of exponential growth and then connect that growth to expressions involving exponents. It illustrates well how fast exponential expressions grow.
Type: Problem-Solving Task
The purpose of this task is to give students an opportunity to solve a challenging multistep percentage problem that can be approached in several different ways. Students are asked to find the cost of a meal before tax and tip when given the total cost of the meal. The task can illustrate multiple standards depending on the prior knowledge of the students and the approach used to solve the problem.
Type: Problem-Solving Task
This task asks students to find equivalent expressions by visualizing a familiar activity involving distance. The given solution shows some possible equivalent expressions, but there are many variations possible.
Type: Problem-Solving Task
Students are asked to use properties of operations to match expressions that are equivalent and to write equivalent expressions for any expressions that do not have a match.
Type: Problem-Solving Task
Tutorial
The distributive property states that the terms of addition or subtraction statements within parentheses may be separately multiplied by a value outside the parentheses. In this tutorial, students will learn the distributive property, which is very helpful with mental math calculations and solving equations.
Type: Tutorial