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

Reason about and solve one-variable equations and inequalities.

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

Write and interpret numerical expressions.

Understand the relationship between zeros and factors of polynomials.

Represent and solve problems involving addition and subtraction.

Write expressions in equivalent forms to solve problems.

Represent and solve problems involving multiplication and division.

Perform arithmetic operations on polynomials.

Represent and analyze quantitative relationships between dependent and independent variables.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Use polynomial identities to solve problems.

Use the four operations with whole numbers to solve problems.

Use properties of operations to generate equivalent expressions.

Generate and analyze patterns.

Create equations that describe numbers or relationships

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

Represent and solve equations and inequalities graphically.

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

Work with radicals and integer exponents.

Add and subtract within 20.

Interpret the structure of expressions.

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

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

Gain familiarity with factors and multiples.

Analyze patterns and relationships.

Work with addition and subtraction equations.

Solve equations and inequalities in one variable.

Rewrite rational expressions.

Multiply and divide within 100.

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.

Solve systems of equations.
problem_activity: Narrative
The purpose of this activity is for students to learn stage 3 of the Shake and Spill center. Students practice counting to find the total of 2 groups of objects and representing addition with an expression.
After they participate in the center, students choose from any stage of previously introduced centers.
Number Race
Math Stories
Required Materials
Materials to Gather
Crayons
Materials from previous centers
Two-color counters
Materials to Copy
Shake and Spill Stage 3 Recording Sheet Kindergarten
Required Preparation
Each group of 2 needs 10 two-color counters.
Each group of 2 needs access to a yellow crayon and a red crayon.
Gather materials from:
Number Race, Stage 1
Math Stories, Stages 1 and 2
Launch
Groups of 2
Give each group of students two-color counters and red and yellow crayons. Give each student a recording sheet.
“We are going to learn a new way to play Shake and Spill. One partner will choose some counters, shake them, and spill them. Then draw a picture to show the red and yellow counters. Work together to figure out how to fill in an expression to show how many red and yellow counters. Take turns shaking and spilling the counters.”
Activity
8 minutes: partner work time
“Now you can choose another center. You can also continue playing Shake and Spill.”
Display the center choices in the student book.
Invite students to work at the center of their choice.
10 minutes: center work time
If time, invite students to choose another center.
Student Facing
Choose a center.
Shake and Spill
[IMG]
Number Race
[IMG]
Math Stories
[IMG]
Activity Synthesis
Display
\(4 + 3\)
.
“Andre and Tyler wrote
\(4 + 3\)
. What do you think their counters looked like?” (4 red counters and 3 yellow counters. 4 yellow counters and 3 red counters.)


correct_option_index: 31