options: Apply and extend previous understandings of arithmetic to algebraic expressions.

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Perform arithmetic operations on polynomials.

Create equations that describe numbers or relationships

Write expressions in equivalent forms to solve problems.

Work with equal groups of objects to gain foundations for multiplication.

Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Work with radicals and integer exponents.

Add and subtract within 20.

Write and interpret numerical expressions.

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Understand the connections between proportional relationships, lines, and linear equations.

Represent and analyze quantitative relationships between dependent and independent variables.

Work with addition and subtraction equations.

Represent and solve equations and inequalities graphically.

Multiply and divide within 100.

Represent and solve problems involving addition and subtraction.

Solve equations and inequalities in one variable.

Understand properties of multiplication and the relationship between multiplication and division.

Solve systems of equations.

Use the four operations with whole numbers to solve problems.

Understand the relationship between zeros and factors of polynomials.

Gain familiarity with factors and multiples.

Use properties of operations to generate equivalent expressions.

Understand and apply properties of operations and the relationship between addition and subtraction.

Understand solving equations as a process of reasoning and explain the reasoning.

Reason about and solve one-variable equations and inequalities.

Generate and analyze patterns.

Analyze and solve linear equations and pairs of simultaneous linear equations.

Rewrite rational expressions.

Represent and solve problems involving multiplication and division.

Analyze patterns and relationships.

Use polynomial identities to solve problems.

Interpret the structure of expressions.
problem_activity: Activity
In this activity, students practice making connections between different representations of the same situation. If desired, they can also identify and create any missing representations (this would require removing some cards from the sets you distribute). The practice will be helpful when students make connections between verbal and tabular representations in the associated Algebra 1 lesson. A matching task gives students opportunities to analyze representations, statements, and structures closely and make connections (MP7).
Launch
Arrange students in groups of 2. Distribute 1 set of slips from the blackline master to each group. (A complete set if students will only do the matching. A set that is missing a few cards if you would like for students to create some representations.)
Student Facing
Your teacher will give you a set of cards. Each card has either a verbal description, a table, or a graph. Find the three cards that represent the same situation. If one of the three representations for a situation is missing, use the blank cards to create that representation.
Student Response
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Activity Synthesis
Select groups to share their matches and how they determined which verbal descriptions, tables, and graphs were a match. Look for groups that created different representations for the missing ones. Attend to the language that students use to describe their matching representations, giving them opportunities to describe them more precisely.


correct_option_index: 12