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Let's use expressions with variables to describe situations.
Let's use diagrams to figure out which expressions are equivalent and which are just sometimes equal.
Let's use the distributive property to describe expressions.
Let's use rectangles to understand the distributive property with variables.
In this section, students extend their understanding of exponential expressions beyond squares and cubes. They evaluate expressions that include both variables and exponents.
First, students use exponent notation to represent repeated multiplication in patterns and situations. Next, they use prior knowledge about operations to practice evaluating exponential expressions with various bases, including whole numbers, fractions, and decimals.
Next, students evaluate...
In this section, students focus on writing expressions and equivalent expressions. This is also where the distributive property is formally introduced.
First, students write expressions that represent situations, using tape diagrams for reasoning as needed. Then equivalent expressions are introduced. Students use tape diagrams to identify when expressions are equal. For example, this diagram shows that is not equal to...
In this section, students apply their understanding of algebraic expressions and equations to represent two quantities that change in relationship to one another. Students explore these relationships through multiple representations, such as tables, graphs, and equations. They also delve into the concepts of independent and dependent variables.
First, students create and analyze tables and graphs that represent how one quantity...
Let's use expressions with variables to describe situations.
Let's use diagrams to figure out which expressions are equivalent and which are just sometimes equal.
Let's use the distributive property to describe expressions.
Let's use rectangles to understand the distributive property with variables.
Let's practice writing equivalent expressions by using the distributive property.
In this final section, students have the opportunity to apply their thinking from the unit. As this is a short section followed by an End-of-Unit Assessment, there are no section goals or checkpoint questions.
In this section, the key understandings are that an equation with a variable represents a relationship that can be true or false, and a solution to the equation is a value for the variable that makes the equation true. Relationships are limited to those that can be expressed with or .
First, students revisit tape diagrams and equations as tools...