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6.6 Expressions and Equations

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

I can match equations to real life situations they could represent.
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 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.
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 explain why different equations can describe the same situation.
I can solve equations that have whole numbers, fractions, and decimals.

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.

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 can solve percent problems by writing and solving an equation.

I can explain what it means for two expressions to be equivalent.
I can use a tape diagram to figure out when two expressions are equal.
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.

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.

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

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

I know how to evaluate expressions that have both an exponent and addition or subtraction.
I know how to evaluate expressions that have both an exponent and multiplication or division.

I can find solutions to equations with exponents in a list of numbers.
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 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.

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.

I can create tables and graphs that show different kinds of relationships between amounts.
I can write equations that describe relationships with area and volume.

I can create a table and a graph that represent the relationship in a given equation.
I can explain what an equation tells us about the situation.