Skip to main content

Acc7.3 Writing and Solving Equations

I can think of ways to solve some more complicated word problems.

I can explain how a tape diagram represents parts of a situation and relationships between them.
I can use a tape diagram to find an unknown amount in a situation.

I can match equations and tape diagrams that represent the same situation.
If I have an equation, I can draw a tape diagram that shows the same relationship.

I can draw a tape diagram to represent a situation where there is a known amount and several copies of an unknown amount and explain what the parts of the diagram represent.
I can find a solution to an equation by reasoning about a tape diagram or about what value would make the equation true.

I can draw a tape diagram to represent a situation where there is more than one copy of the same sum and explain what the parts of the diagram represent.
I can find a solution to an equation by reasoning about a tape diagram or about what value would make the equation true.

I understand the similarities and differences between the two main types of equations we are studying in this unit.
When I have a situation or a tape diagram, I can represent it with an equation.

I can explain how a balanced hanger and an equation represent the same situation.
I can find an unknown weight on a hanger diagram and solve an equation that represents the diagram.
I can write an equation that describes the weights on a balanced hanger.

I can explain how a balanced hanger and an equation represent the same situation.
I can explain why some balanced hangers can be described by two different equations, one with parentheses and one without.
I can find an unknown weight on a hanger diagram and solve an equation that represents the diagram.
I can write an equation that describes the weights on a balanced hanger.

I can use the idea of doing the same to each side to solve equations that have negative numbers or solutions.

For an equation like $3(x+2)=15$, I can solve it in two different ways: by first dividing each side by 3, or by first rewriting $3(x+2)$ using the distributive property.
For equations with more than one way to solve, I can choose the easier way depending on the numbers in the equation.

I can solve story problems by drawing and reasoning about a tape diagram or by writing and solving an equation.

I can solve story problems about percent increase or decrease by drawing and reasoning about a tape diagram or by writing and solving an equation.

I can write an equation to represent a relationship between angle measures and solve the equation to find unknown angle measures.