options: Gain familiarity with factors and multiples.

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

Use the four operations with whole numbers to solve problems.

Use properties of operations to generate equivalent expressions.

Understand the relationship between zeros and factors of polynomials.

Work with radicals and integer exponents.

Interpret the structure of expressions.

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

Analyze patterns and relationships.

Represent and analyze quantitative relationships between dependent and independent variables.

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

Solve systems of equations.

Represent and solve problems involving addition and subtraction.

Reason about and solve one-variable equations and inequalities.

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

Perform arithmetic operations on polynomials.

Solve equations and inequalities in one variable.

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

Add and subtract within 20.

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

Rewrite rational expressions.

Work with addition and subtraction equations.

Use polynomial identities to solve problems.

Represent and solve equations and inequalities graphically.

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

Represent and solve problems involving multiplication and division.

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

Write expressions in equivalent forms to solve problems.

Write and interpret numerical expressions.

Create equations that describe numbers or relationships

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

Generate and analyze patterns.

Multiply and divide within 100.
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: 7

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