Math 7 TutoringMath 7 Tutoring

April 17, 2011April 17, 2011

ObjectivesObjectives

►1. The student will learn the order of 1. The student will learn the order of operations.operations.

►2. The student will solve for equations. 2. The student will solve for equations. ►3. The student will review perimeter, 3. The student will review perimeter,

area and circumference. area and circumference.

Review of Lesson 1Review of Lesson 1

►Describing PatternsDescribing Patterns►2, 4, 6, 8, 10……2, 4, 6, 8, 10……►100, 50, 25…..100, 50, 25…..►19, 16, 13……19, 16, 13……

Review of Lesson 2Review of Lesson 2

► VariablesVariables► A variable is a letter that is used to A variable is a letter that is used to

represent a numberrepresent a number► A variable expression consists of numbers, A variable expression consists of numbers,

variables and operations. 2+a=7variables and operations. 2+a=7► To evaluate a variable expression substitute To evaluate a variable expression substitute

values for the variables and simplify your values for the variables and simplify your answer.answer.

► Solve: 20/n=10Solve: 20/n=10

Powers and ExponentsPowers and Exponents

►A power is a way of writing repeated A power is a way of writing repeated multiplication.multiplication.

►An exponent tells you how many times An exponent tells you how many times to multiply the base numberto multiply the base number

►Solve: 2^3Solve: 2^3

Order of OperationsOrder of Operations

►PEMDASPEMDAS►Please Excuse My Dear Aunt SallyPlease Excuse My Dear Aunt Sally►Solve: 2(3+5)Solve: 2(3+5)

EquationsEquations

►An equation is a mathematical An equation is a mathematical sentence formed by setting two sentence formed by setting two expressions equal.expressions equal.

►The solution of an equation is a The solution of an equation is a number that you can substitute for the number that you can substitute for the variable to make the equation true.variable to make the equation true.

EquationsEquations

►You can use mental math to solve You can use mental math to solve some equations….for example:some equations….for example:

►a+20=25 we know that a must be 5 a+20=25 we know that a must be 5 to make this equation trueto make this equation true

►Check your answer Check your answer ►5+20=25…is this a correct equation?5+20=25…is this a correct equation?

EquationsEquations

►Solving word problemsSolving word problems►A green sea turtle can swim at a speed A green sea turtle can swim at a speed

of 20 miles per hour. How long would it of 20 miles per hour. How long would it take a green sea turtle to swim 80 miles?take a green sea turtle to swim 80 miles?

►Distance = rt (rate x time)Distance = rt (rate x time)►80=20t80=20t►80=20 x 480=20 x 4► It would take 4 hours to swim 80 milesIt would take 4 hours to swim 80 miles

Perimeter and AreaPerimeter and Area

► Perimeter Perimeter ►Rectangle: 2Rectangle: 2l+2w l+2w Square: 4sSquare: 4s► 8in8in

4in4in

3in

Perimeter and AreaPerimeter and Area

►Area:Area:►Rectangle- A= Rectangle- A= lw lw Square: A= s^2Square: A= s^2

►Rectangle Length=12in Width=4inRectangle Length=12in Width=4in►Square side= 6mSquare side= 6m

CircumfrenceCircumfrence

►Pi=3.14 pi x Pi=3.14 pi x diameter diameter

pi x radiuspi x radius

Ll Radius Ll Radius

DiameterDiameter

3in

6in

ConclusionConclusion

►After viewing this presentation, the After viewing this presentation, the student will be able to solve problems student will be able to solve problems of equations, perimeters, and of equations, perimeters, and circumferences.circumferences.