I understand what it means for a number to make an inequality true.
14
Finding Solutions to Inequalities in Context
I can describe the solutions to an inequality by solving a related equation and then reasoning about values that make the inequality true.
I can write an inequality to represent a situation.
15
Efficiently Solving Inequalities
I can graph the solutions to an inequality on a number line.
I can solve inequalities by solving a related equation and then checking which values are solutions to the original inequality.
16
Interpreting Inequalities
I can match an inequality to a situation it represents, solve it, and then explain what the solution means in the situation.
If I have a situation and an inequality that represents it, I can explain what the parts of the inequality mean in the situation.
17
Modeling with Inequalities
I can use what I know about inequalities to solve real-world problems.
22
Applications of Expressions
I can write algebraic expressions to understand and justify a choice between two options.
18
Subtraction in Equivalent Expressions
I can organize my work when I use the distributive property.
I can rewrite subtraction as adding the opposite and then rearrange terms in an expression.
19
Expanding and Factoring
I can organize my work when I use the distributive property.
I can use the distributive property to rewrite expressions with positive and negative numbers.
I understand that “factoring” and “expanding” are words used to describe using the distributive property to write equivalent expressions.
20
Combining Like Terms (Part 1)
I can figure out whether two expressions are equivalent to each other.
When possible, I can write an equivalent expression that has fewer terms.
21
Combining Like Terms (Part 2)
I am aware of some common errors when writing equivalent expressions, and I can avoid them.
When possible, I can write an equivalent expression that has fewer terms.
1
Relationships between Quantities
I can think of ways to solve some more complicated word problems.
2
Reasoning about Contexts with Tape Diagrams
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.
3
Reasoning about Equations with Tape Diagrams
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.
4
Reasoning about Equations and Tape Diagrams (Part 1)
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.
7
Reasoning about Solving Equations (Part 1)
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 diagram.
8
Reasoning about Solving Equations (Part 2)
I can explain how a balanced hanger and an equation represent the same situation.
I can explain why some balanced hangers can be represented 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 identify an equation that represents the weights on a balanced hanger diagram.
9
Dealing with Negative Numbers
I can use the idea of doing the same to each side to solve equations that have negative numbers or solutions.
I can find a solution to an equation by reasoning about a tape diagram or about what value would make the equation true.
5
Reasoning about Equations and Tape Diagrams (Part 2)
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.
6
Distinguishing between Two Types of Situations
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.
10
Different Options for Solving One Equation
For an equation like , I can solve it in two different ways: by first dividing each side by 3, or by first rewriting using the distributive property.
For equations with more than one way to solve, I can choose the most efficient way depending on the numbers in the equation.
11
Using Equations to Solve Problems
I can solve story problems by drawing and reasoning about a tape diagram or by writing and solving an equation.
12
Solving Problems about Percent Increase or Decrease
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.
