options: Work with radicals and integer exponents.

Generate and analyze patterns.

Use polynomial identities to solve problems.

Use the four operations with whole numbers to solve problems.

Solve systems of equations.

Understand the relationship between zeros and factors of polynomials.

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

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

Represent and solve equations and inequalities graphically.

Represent and solve problems involving addition and subtraction.

Represent and solve problems involving multiplication and division.

Write expressions in equivalent forms to solve problems.

Use properties of operations to generate equivalent expressions.

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

Gain familiarity with factors and multiples.

Represent and analyze quantitative relationships between dependent and independent variables.

Work with addition and subtraction equations.

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

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

Solve equations and inequalities in one variable.

Write and interpret numerical expressions.

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

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

Multiply and divide within 100.

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

Perform arithmetic operations on polynomials.

Rewrite rational expressions.

Reason about and solve one-variable equations and inequalities.

Interpret the structure of expressions.

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

Create equations that describe numbers or relationships

Analyze patterns and relationships.

Add and subtract within 20.
problem_activity: Narrative
The purpose of this lesson is for students to learn stage 1 of the center, How Close? Students pick a given number of digit cards and then choose a subset of those to make an expression that yields a number as close as possible to 20.
Required Materials
Materials to Gather
Connecting cubes or two-color counters
Double 10-frames
Number cards 0–10
Materials to Copy
How Close? Stage 1 Recording Sheet
Launch
Groups of 2
Give each group a set of number cards, two recording sheets, and access to double 10-frames and connecting cubes or two-color counters.
“We are going to learn a game called How Close? Add to 20. Let's play the first round together.”
“First we take out any card that has the number 10. We will not use those cards for the game.”
Display 5 cards.
“I can choose two or three of these cards to add to get as close to 20 as I can. What cards should I choose?”
1 minute: quiet think time
2 minutes: partner discussion
Share responses.
“I write an equation with the numbers I chose and the sum of the numbers.”
Demonstrate writing the equation on the recording sheet.
“The person who gets a sum closer to 20 gets a point for the round. Then you each get more cards so you always have five cards to choose from. Play again. The person who gets more points wins.”
Activity
10 minutes: partner work time
Activity Synthesis
Invite students to share their methods for making a sum close to 20.


correct_option_index: 33