options: Use polynomial identities to solve problems.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Gain familiarity with factors and multiples.

Generate and analyze patterns.

Reason about and solve one-variable equations and inequalities.

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

Create equations that describe numbers or relationships

Analyze patterns and relationships.

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

Perform arithmetic operations on polynomials.

Understand the relationship between zeros and factors of polynomials.

Work with radicals and integer exponents.

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

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

Solve equations and inequalities in one variable.

Multiply and divide within 100.

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

Write expressions in equivalent forms to solve problems.

Represent and solve equations and inequalities graphically.

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

Represent and analyze quantitative relationships between dependent and independent variables.

Interpret the structure of expressions.

Solve systems of equations.

Write and interpret numerical expressions.

Represent and solve problems involving multiplication and division.

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

Represent and solve problems involving addition and subtraction.

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

Rewrite rational expressions.

Use properties of operations to generate equivalent expressions.

Add and subtract within 20.

Use the four operations with whole numbers to solve problems.

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

Work with addition and subtraction equations.
problem_activity: Narrative
The purpose of this activity is for students to play Stage 4 in the Shake and Spill center, which was introduced in an earlier unit. This activity supports students in finding the missing part of an equation in a later activity.
Students use 3, 4, or 5 counters. They see some of the counters and determine how many more counters are under the cup. Students write an expression to represent each composition and decomposition.
Representation: Access for Perception.
Synthesis: Use a cup and two-color counters to demonstrate that there is 1 yellow counter hiding under the cup.
Supports accessibility for: Conceptual Processing, Visual-Spatial Processing
Required Materials
Materials to Gather
Cups
Two-color counters
Materials to Copy
Shake and Spill Stage 4 Recording Sheet Kindergarten
Launch
Groups of 2
Give each group of students a cup, 5 two-color counters, and two recording sheets.
“We are going to play Shake and Spill, Cover.”
If needed, review and demonstrate the steps of the center.
“Take turns with your partner spilling and covering the yellow counters. On each turn you can decide to use 3, 4, or 5 counters. Make sure you and your partner agree on how many total counters you are using before you shake, spill, cover, and record.”
Activity
8 minutes: partner work time
Student Facing
Put 3, 4, or 5 counters in the cup.
Shake and spill the counters.
Hide some of the counters under the cup.
Figure out how many of the counters are hidden.
Write an expression.
Student Response
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Activity Synthesis
Display the number 3 and the expression
\(2 + \underline{\hspace{1 cm}}\)
.
“Han and Mai spilled 3 counters and hid the yellow ones. This is what they wrote on the recording sheet. What is missing from the expression? How do you know?” (1 is missing. 2 and 1 are the parts that go together to make 3. If they can see 2 red counters, 1 yellow counter is hiding under the cup.)


correct_option_index: 12