options: Interpret the structure of expressions.

Add and subtract within 20.

Write expressions in equivalent forms to solve problems.

Represent and solve problems involving addition and subtraction.

Write and interpret numerical expressions.

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

Solve systems of equations.

Multiply and divide within 100.

Represent and solve problems involving multiplication and division.

Gain familiarity with factors and multiples.

Represent and solve equations and inequalities graphically.

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

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

Perform arithmetic operations on polynomials.

Generate and analyze patterns.

Reason about and solve one-variable equations and inequalities.

Work with radicals and integer exponents.

Work with addition and subtraction equations.

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

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

Create equations that describe numbers or relationships

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

Use properties of operations to generate equivalent expressions.

Analyze patterns and relationships.

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

Understand the relationship between zeros and factors of polynomials.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Rewrite rational expressions.

Use the four operations with whole numbers to solve problems.

Use polynomial identities to solve problems.

Solve equations and inequalities in one variable.

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

Represent and analyze quantitative relationships between dependent and independent variables.
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: 21