# Unit 6: My Reflections

## Lesson 1: Tape Diagrams and Equations

• I can use a tape diagram to represent a situation.
• I can tell whether or not an equation could represent a tape diagram.

## Lesson 2: Truth and Equations

• 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.

## Lesson 3: Staying in Balance

• 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.

## Lesson 4: Practice Solving Equations and Representing Situations with Equations

• I can explain why different equations can describe the same situation.
• I can solve equations that have whole numbers, fractions, and decimals.

## Lesson 5: A New Way to Interpret $a$ over $b$

• I understand the meaning of a fraction made up of fractions or decimals, like $\frac{2.1}{0.07}$ or $\frac{\frac45}{\frac32}$.
• 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.

## Lesson 6: Write Expressions Where Letters Stand for Numbers

• 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.

## Lesson 7: Revisit Percentages

• I can solve percent problems by writing and solving an equation.

## Lesson 8: Equal and Equivalent

• 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.

## Lesson 9: The Distributive Property, Part 1

• 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.

## Lesson 10: The Distributive Property, Part 2

• I can use a diagram of a split rectangle to write different expressions with variables representing its area.

## Lesson 11: The Distributive Property, Part 3

• I can use the distributive property to write equivalent expressions with variables.

## Lesson 12: Meaning of Exponents

• I understand the meaning of an expression with an exponent like $3^5$.
• I can evaluate expressions with exponents and write expressions with exponents that are equal to a given number.

## Lesson 13: Expressions with Exponents

• I can decide if expressions with exponents are equal by evaluating the expressions or by understanding what exponents mean.

## Lesson 14: Evaluating Expressions with Exponents

• 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.

## Lesson 15: Equivalent Exponential Expressions

• 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.

## Lesson 16: Two Related Quantities, Part 1

• 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.

## Lesson 17: Two Related Quantities, Part 2

• 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.

## Lesson 18: More Relationships

• 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.