Unit 7
Expressions & Equations
Accelerated Lesson
( Note, some activities are marked "OPTIONAL" in the student workbook to meet the accelerated pace.)
Standards
Learning Targets
Additional Resources
1
Addressing:
NC.6.EE.5
NC.6.EE.6
Building Toward:
NC.6.EE.5
NC.6.EE.6
NC.6.EE.7
I can use a tape diagram to represent a situation.
I can tell whether or not an equation could represent a tape diagram.
I can replace a variable in an equation with a number that makes the equation true, and know that this number is called a solution to the equation.
I can match equations to real life situations they could represent.
Tape Diagrams and Equations
YouTube Videos
Strip Diagrams-Tape Diagrams-Bar Models
Solving One-Step Equations (Using Tape Diagrams)
Draw a Picture and Write an Equation
Tape Diagram to Model Multiplication and Division Equations
IXL Math
Khan Academy Practice
Identify Equations from Visual Models
Truth and Equations
Khan Academy Videos
Testing Solutions to Equations
Why Aren't We Using the Multiplication Sign
Khan Academy Practice
Testing Solutions to Equations
Video Lesson Summary: Understanding Equations From Illustrative Mathematics
2
Addressing:
NC.6.EE.5
NC.6.EE.6
NC.6.EE.7
Building Toward:
NC.6.EE.6
NC.6.EE.7
I can replace a variable in an equation with a number that makes the equation true, and know that this number is called a solution to the equation.
I can match equations to real life situations they could represent.
I can explain what a balanced hanger and a true equation have in common.
I can write equations that could represent the weights on a balanced hanger.
I can compare doing the same thing to the weights on each side of a balanced hanger to solving equations by subtracting the same amount from each side or dividing each side by the same number.
Truth and Equations
Khan Academy Videos
Testing Solutions to Equations
Why Aren't We Using the Multiplication Sign
Khan Academy Practice
Testing Solutions to Equations
Staying in Balance
Khan Academy Videos
Why do We do the Same Thing to Both Sides of the Equation?
Relationship as a Simple Equation
Divide From Both Sides of the Equation
YouTube Videos
Representing and Solving Equations with Hanger Models
Khan Academy Practice
Identify Equations from Visual Models
Solve Equations from Visual Models
Video Lesson Summary: Understanding Equations From Illustrative Mathematics
I can explain why different equations can describe the same situation.
I can solve equations that have whole numbers, fractions, and decimals.
Khan Academy Videos
Examples:Solving One-Step Equations
One-Step Equations:Fractions & Decimals
One-Step Multiplication Equations
Khan Academy Practice
One-Step Addition and Subtraction Equations
One-Step Addition and Subtraction Equations: Fractions and Decimals
One-Step Multiplication and Division Equations
Video Lesson Summary: Writing and Solving Equations From Illustrative Mathematics
4
Addressing:
NC.6.EE.5
NC.6.EE.6
NC.6.EE.7
NC.6.RP.4
Building On:
NC.6.NS.1
NC.6.NS.3
I understand the meaning of a fraction made up of fractions or decimals, like 2.1/0.07 or (4/5 / 3/2).
When I see an equation, I can make up a story that the equation might represent, explain what the variable represents in the story, and solve the equation.
I can solve percent problems by writing and solving an equation.
A New Way to Interpret a over b
Khan Academy Videos
One-Step Multiplication and Division Equations:Fractions & Decimals
Modeling with One-Step Equations
Khan Academy Practice
One-Step Multiplication and Division Equations: Fractions and Decimals
Revisit Percentages
Khan Academy Videos
Percentage Word Problem Example 4
Khan Academy Practice
Equivalent Representations of Percent
Video Lesson Summary: Writing and Solving Equations From Illustrative Mathematics
5
I can use an expression that represents a situation to find an amount in a story.
I can write an expression with a variable to represent a calculation where I do not know one of the numbers.
I understand the meaning of an expression with an exponent like 35.
I can evaluate expressions with exponents and write expressions with exponents that are equal to a given number.
Write Expressions Where Letters Stand for Numbers
Khan Academy Videos
Evaluate Expression with Variables
Basic Algebraic Expressions from Word Problems
Khan Academy Practice
Evaluating Expressions with One Variable
Writing Basic Equations Word Problems
Meaning of Exponents
Digital Manipulatives
Khan Academy Video
Khan Academy Practice
Video Lesson Summary: Expressions with Exponents From Illustrative Mathematics
6
I can decide if expressions with exponents are equal by evaluating the expressions or by understanding what exponents mean.
Khan Academy Videos
Khan Academy Practice
Video Lesson Summary: Expressions with Exponents From Illustrative Mathematics
7
I know how to evaluate expressions that have both an exponent and multiplication or division.
I how how to evaluate expressions that have both an exponent and addition or subtraction.
Digital Manipulatives
YouTube Videos
Evaluate Expressions Involving Exponents
Virtual Nerd
How do you evaluate an expression with exponents?
Khan Academy Practice
Video Lesson Summary: Expressions with Exponents From Illustrative Mathematics
8
I can replace a variable with a number in an expression with exponents and operations and use the correct order to evaluate the expression.
I can find solutions to equations with exponents in a list of numbers.
9
I can solve expressions using addition, subtraction, multiplication, division and exponents.
I can solve expressions using a set of rules starting with the most powerful operations first and the least powerful operations last.
10
Addressing:
NC.6.EE.3
NC.6.EE.4
NC.6.EE.5
Building On:
NC.3.MD.7
NC.3.OA.1
I can use a tape diagram to figure out when two expressions are equal.
I can explain what it means for two expressions to be equivalent.
I can use what I know about operations to decide whether two expressions are equivalent.
I can use a diagram of a rectangle split into two smaller rectangles to write different expressions representing its area.
I can use the distributive property to help do computations in my head.
Equal and Equivalent
Khan Academy Video
Khan Academy Practice
IXL Math
Identify equivalent expressions
The Distributive Property, Part 1
Khan Academy Videos
The Distributive Law of Multiplication Over Addition
The Distributive Law of Multiplication Over Subtraction
IXL Math
Identify Equivalent Expressions Using Strip Models
Video Lesson Summary: Writing Equivalent Expressions From Illustrative Mathematics
11
I can use a diagram of a split rectangle to write different expressions with variables representing its area.
I can use the distributive property to write equivalent expressions with variables.
The Distributive Property, Part 2
YouTube Video
How to Apply the Distributive Property
Khan Academy Practice
Distributive Property with Variables
The Distributive Property, Part 3
Khan Academy Video
Khan Academy Practice
Create Equivalent Expressions by Factoring
Video Lesson Summary: Writing Equivalent Expressions From Illustrative Mathematics
12
I can use substitution to solve expressions for a number answer.
I can use substitution with formulas to solve for an answer.
13
I can create tables and graphs that show the relationship between two amounts in a given ratio.
I can write an equation with variables that shows the relationship between two amounts in a given ratio.
Digital Manipulatives
Khan Academy Video
Dependent & Independent Variables
Khan Academy Practice
Independent vs. Dependent Variables
Video Lesson Summary: Relationships Between Quantities From Illustrative Mathematics
14
I can create tables and graphs to represent the relationship between distance and time for something moving at a constant speed.
I can write an equation with variables to represent the relationship between distance and time for something moving at a constant speed.
Digital Manipulatives
Khan Academy Video
Khan Academy Practice
Ratios on the Coordinate Plane
Video Lesson Summary: Relationships Between Quantities From Illustrative Mathematics
15
I can write equations that describe relationships with area and volume.
I can create tables and graphs that show different kinds of relationships between amounts.