options: Generate and analyze patterns.

Represent and solve problems involving addition and subtraction.

Solve systems of equations.

Write expressions in equivalent forms to solve problems.

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

Represent and solve equations and inequalities graphically.

Add and subtract within 20.

Analyze patterns and relationships.

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

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

Work with addition and subtraction equations.

Multiply and divide within 100.

Solve equations and inequalities in one variable.

Reason about and solve one-variable equations and inequalities.

Rewrite rational expressions.

Create equations that describe numbers or relationships

Work with radicals and integer exponents.

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

Write and interpret numerical expressions.

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

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Represent and solve problems involving multiplication and division.

Use properties of operations to generate equivalent expressions.

Use the four operations with whole numbers to solve problems.

Understand the relationship between zeros and factors of polynomials.

Interpret the structure of expressions.

Represent and analyze quantitative relationships between dependent and independent variables.

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

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

Gain familiarity with factors and multiples.

Use polynomial identities to solve problems.

Perform arithmetic operations on polynomials.

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
problem_activity: Stage 3: Represent
Required Preparation
Materials to Gather
Crayons
Cups
Two-color counters
Materials to Copy
Blackline Masters
Shake and Spill Stage 3 Recording Sheet Kindergarten
Shake and Spill Stage 3 Recording Sheet Grade 1

Narrative
Students decide together how many counters to use (up to 10). One partner spills the counters. Both partners represent the red and yellow counters on the recording sheet.
This stage has two different recording sheets, one for kindergarten and another for grade 1. Be sure to use the appropriate recording sheet with students.
Additional Information
Each group of 2 needs a cup and 10 two-color counters.


correct_option_index: 6

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