Chapter 2.1

Common Core – A.CED.1 & A.REI.3 Create equations…in one variable and use them to solve problems.

Objectives – To solve one-step equations in one variable.

Ch 2.1 Notes

Equivalent Equations – are equations that have the same solutions.

To solve equations you must isolate the variable by either adding, subtracting, multiplying, or dividing the same number to both sides of the equation.

Chapter 2.2

Common Core – A.REI.3, A.CED.1, & A.REI.1 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Objectives – To solve two-step equations in one variable.

Ch 2.2 Notes

To solve two-step equations you must get the variable all by itself and the get rid of any coefficients in front of the variable.

Chapter 2.3

Common Core – A.CED.1 Create equations…in one variable and use them to solve problems.

Objectives – To solve multi-step equations in one variable.

Ch 2.3 Notes

To solve multi-step equations you must first combine like terms and then solve them like you did with two-step equations.

Chapter 2.4

Common Core – A.CED.1, A.REI.1, & A.REI.3 Create equations…in one variable and use them to solve problems.

Objectives – To solve equations with variables on both sides. To identify equations that are identities of have no solution.

Ch 2.4 NotesTo solve equations with variables on both sides

of the equal sign

First – get the variables on one side of the equation and the numbers of the other side of the equation.

Second – combine like terms

Third – solve for the variable

Chapter 2.5

Common Core – A.CED.4, N.Q.1, A.ED.1, A.REI.1, & A.REI.3 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

Objectives – To rewrite and use literal equations and formulas.

Ch 2.5 Notes

Literal Equations – is an equation that involves two or more variables.

Formula – is an equation that states a relationship among quantities. Formulas are special types of literal equations.

Perimeter of a Rectangle –

Area of a Rectangle –

Circumference of a Circle –

Area of a Circle –

Area of a Triangle –

Distance Traveled –

*Temperature Formula -

Chapter 2.6

Common Core – N.Q.1 & N.Q.2 Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas.

Objectives – To find ratios and rates. To convert units and rates.

Ch 2.6 NotesRatio – compare two numbers by division Rate – a ratio that compares quantities measured in different units Unit Rate – is a rate with a denominator of 1 unit Conversion Factor – is a ratio of two equivalent measures in different units. 5 miles = ______ft

Chapter 2.7

Common Core – A.REI.3, N.Q.1, & A.CED.1 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Objectives – To solve and apply proportions.

Ch 2.7 Notes

Propotion – is an equation that states two ratios are equal.

To Solve a proportion you cross multiply - a*d = b * c

Chapter 2.8

Common Core – A.CED.1 & A.REI.3 Create equations…in one variable and use them to solve problems.

Objectives – To find missing lengths in similar figures. To use similar figures when measuring indirectly.

Ch 2.8 Notes

Similar Figures – have the same shape but not necessarily the same size (scale model).

Scale Drawing – is a drawing that is similar to an actual object or place (like a map).

Scale – is the ratio of the drawing (the key on a map)

Chapter 2.9

Common Core – N.Q.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

Objectives – To solve percent problems using proportions. To solve percent problems using the percent equations.

Ch 2.9 Notes

To Solve Percent Problemsof – means ______is – means ______

to change a percent to a decimal you must move the decimal 2 places to the _______

Simple Interest Formula – I = Prt where the I = interest, P= Principle, r = rate, and t = time

Chapter 2.10

Common Core – N.Q.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

Objectives – To find percent change. To find the relative error in linear and nonlinear measurements.

Ch 2.10

Percent Change is the ratio of the amount of change to the original amount.

Percent change, p% =

*amount of increase = new amount – original amount* Amount of decrease = original amount – new amount

Relative Error – is the ratio of the absolute value of the difference of a measured value and an actual value compared to the actual value.

Relative error =

When relative error is expressed as a percent, it is called percent error.