Section BSolving Equations of the Form and and Problems That Lead to Those Equations
Section CInequalities
Section DWriting Equivalent Expressions
Section ELet’s Put It to Work
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.
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.
13
Reintroducing Inequalities
I can explain what the symbols and mean.
I can represent an inequality on a number line.
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.
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.
22
Applications of Expressions
I can write algebraic expressions to understand and justify a choice between two options.
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.
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.
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.
For equations with more than one way to solve, I can choose the most efficient way depending on the numbers in the equation.