CCSS.Math.Content.HSA-CED.A

CCSS.Math.Content.HSA-CED.A is a cluster heading. These are the individual standards under it.

• CCSS.Math.Content.HSA-CED.A.1

  Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rati...

• CCSS.Math.Content.HSA-CED.A.2

  Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

• CCSS.Math.Content.HSA-CED.A.3

  Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a...

• CCSS.Math.Content.HSA-CED.A.4

  Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

01

What Students Need to Do

Students turn written conditions, tables, graphs, and real situations into equations, inequalities, or systems. They define variables and connect each number and operation to the situation.

02

What Mastery Looks Like

Students choose useful variables and build equations, inequalities, or systems that match every condition in a situation. They label quantities, include units, and explain what each term represents.

03

Common Misconceptions

Students may reverse quantities, such as writing 3x = y when each x costs y dollars. They may omit fixed fees, confuse equations with inequalities, or use variables without defining them.

04

How to Assess It

Exit ticket: A gym charges a $25 sign-up fee and $18 per month. Define variables and write an equation for total cost after any number of months.

1. 01

   Give pairs cups, counters, and balance mats to model unknown amounts, then have them record each model as an equation.

2. 02

   Ask students to write and defend an equation for: A phone plan costs $30 plus $8 per gigabyte used.

3. 03

   Run a card sort matching situation cards with equations, inequalities, systems, tables, and graphs.

4. 04

   Have students use a local menu to write an equation for ordering several meals with tax and a fixed delivery fee.

• CCSS.Math.Content.HSF-BF.A.1

  Write a function that describes a relationship between two quantities

• CCSS.Math.Content.6.EE.A.2a

  Write expressions that record operations with numbers and with letters standing for numbers.

• CCSS.Math.Content.8.F.B

  Use functions to model relationships between quantities.