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Khan Academy Summer Math Review

Summer Math Review Guidelines:

Khan Academy summer work is required for students entering any upper school honors level math class and is optional for all other Prep students. However, we strongly recommend that every student spend time over the summer reviewing the key topics listed for his or her upcoming math class. It will help ensure a solid start to the school year and reinforce key math skills. This is especially important for students who are new to Prep.However, if you find a section super easy,and can answer five questions in a row correctly without using hints or guessing, move on to topics that are more challenging. Honors students should expect a quiz or test over the summer review material within the first two weeks of school, and honors students who cannot demonstrate mastery of these skills may be removed from the honors class.

Students:

If you do not have a Khan Academy account, sign up using your Google, Facebook or E-mail account. When choosing a screen name please use your real full name. Do not create quirky screen names or else your teachers won’t recognize you online.

REMEMBER TO SIGN IN TO YOUR ACCOUNT BEFORE STARTING ANY KHAN WORK. IF YOU DON’T SIGN IN, YOUR PROGRESS IS NOT RECORDED AND YOU WILL NOT GET CREDIT FOR COMPLETING THE ASSIGNMENT! Once classes start, you can designate your math teacher as a “coach” in Khan Academy, and he or she will be able to see every problem you tried, how well you mastered each topic, how long you spent on each problem, which videos you watched, and what your areas of strength or weakness are.

Topics with a “star” are the practice exercises and topics with a “play button” are optional videos that you may choose to watch, especially if you are having trouble with a section. The videos are often very helpful and are a great resource if you get stuck or haven’t learned a particular topic.

Parentsand Legal Guardians

Students under the age of 13 will need a parent or legal guardian to help them with the sign-up process and authorize their use of Khan Academy. Have your child begin the sign-up process. The program will require your e-mail address as legal guardian.Instructions will then be sent to your e-mail account on how to complete the registration process, and your child will be blocked from using Khan until the account is validated.

Parents may also create their own Khan account and then have their child select them as a coach, allowing parents to track and monitor their child’s progress just like a teacher. For more information on this, create your own Khan account, then in the search box, type “How to Add a Coach.”A short video will walk you through the process. Your son or daughter must then add you as a coach from within his or her account. Also look at “Coach Resources” to see the different ways that you can use Khan to track your child’s progress.

If you have questions or problems please contact the Math Department Chair, Br. Doug Lynam ().

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SUMMER REVIEW FOR STUDENTS ENTERING PRE-ALGEBRA

LOG IN TO KHAN, THEN GO TO THE “ARITHMETIC AND PRE-ALGEBRA” SECTION OF KHAN ACADEMY. THEN PRACTICE:

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Factors & Multiples

Divisibility tests

Divisibility intuition

Prime numbers

Prime factorization

Negative Numbers and Absolute Value

Number line 3

Adding andsubtracting negative numbers

Multiplying anddividing negative numbers

Decimals & Percent

Adding decimals

Subtracting decimals

Adding and subtracting decimals word problems

Understanding moving the decimal

Multiplying decimals

Dividing decimals 1

Dividing decimals 2

Converting percents to decimals

Converting decimals to percents

Discount tax and tip word problems

Rounding numbers

Fractions

Simplifying fractions

Converting mixed numbers and

improper fractions

Equivalent fractions 2

Comparing fractions 2

Ordering fractions

Adding and Subtracting fractions

Multiplying fractions

Multiplying fractions word problems

Fractions on the number line 2

Converting mixed numbers and

improper fractions

Adding and subtracting mixed

numbers 1

Multiplying mixed numbers 1

Converting fractions to decimals 1

Converting decimal to fractions 1

Ordering numbers

Ratios, Proportions, Units and Rates

Expressing ratios as fractions

Ratio word problems

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SUMMER REVIEW FOR STUDENTS ENTERING ALGEBRA 1

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LOG IN TO KHAN, THEN GO TO THE “ARITHMETIC AND PRE-ALGEBRA” SECTION OF KHAN ACADEMY. THEN PRACTICE:

Factors & Multiples

Divisibility tests

Divisibility intuition

Divisibility

Least Common Multiple

Greatest Common Divisor

LCM and GCD word problems

Negative Numbers and Absolute Value

Adding andsubtracting negative

numbers

Multiplying anddividing negative numbers

Fractions

Simplifying fractions

Equivalent fractions 2

Ordering fractions

Adding fractions

Subtracting fractions

Multiplying fractions

Dividing fractions

Converting mixed numbers and

improper fractions

Multiplying mixed numbers 1

Converting fractions to decimals

Converting decimals to fractions 2

Ordering numbers

Ratios, Proportions, Units & Rates

Proportions 1

Proportions 2

Rate problems 1

Exponents, Radicals and Scientific Notation

Positive and zero exponents

GO TO THE “ALGEBRA” SECTION OF KHAN ACADEMY. THEN PRACTICE:

Linear Equations

Evaluating expressions in 2 variables

2-step equations

Equations with variables on both sides

Linear equation word problems

Percentage word problems 1

Graphing Points, Equations, and Inequalities

Graphing points and naming quadrants

Points on the coordinate plane

Ordered pair solutions to linear equations

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FOR STUDENTS ENTERING GEOMETRY AND GEOMETRY HONORS

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LOG IN TO KHAN, THEN GO TO THE “MATH” SECTION, THEN TO “ARITHMETIC AND PRE-ALGEBRA.” THEN PRACTICE:

Exponents, Radicals, and Scientific Notation:

Fractional exponents

Negative fractional exponents

Simplifying radicals

Multiplying radicals

Adding and subtracting radicals

Exponent rules

Scientific notation

Multiplying and dividing scientific notation

GO TO THE “MATH” SECTION, THEN TO “ALGEBRA.” THEN PRACTICE:

Linear Equations

2-step equations

Equations with variables on both sides

Solving equations in terms of a variable

Graphing Points, Equations, and Inequalities

Identifying the slope of a line

Graphing linear equations

Solving for the y-intercept

Slope-intercept form

Equations of parallel and perpendicular lines

Systems of Equations and Inequalities

Graphing systems of equations

Systems of equations with substitution

Systems of equations

Systems of equations word problems

Systems of equations with simple elimination

Systems of equations with elimination

Quadratics

Factoring polynomials 1

Factoring polynomials 2

Factoring the difference of squares 2

Factoring polynomials by grouping

Completing the square 1

Completing the square 2

Quadratic formula

Graphing quadratics in standard form

Exponent Expressions and Equations

Simplifying expressions with exponents

Radical equations

Polynomials

Adding and subtracting polynomials

Multiplying polynomials

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For Students Entering Algebra 2 or Algebra 2 Honors

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Under Math and Algebra I

Section: Linear Equations

Constructing and solving equations

in thereal world

Linear equation word problems

Understanding the process of solving

linear equations

Solving equations in terms of a variable

Multi-step equations withdistribution

Section: Linear inequalities

Multi-step linear inequalities

Interpreting and solving linear inequalities

Section: Graphing and analyzing LinearFunctions

Equations from tables

Ordered pair solutions to linear equations

Interpreting linear relationships

Solving for the x-intercept

Linear function intercepts

Interpreting an finding intercepts for linear

functions

Identifying slope of a line

Graphing linear equations

Solving for the y-intercept

Slope intercept form

Point slope form

Converting between slope-intercept and

standard form

Converting between point-slope and slope-

intercept form

Distance formula

Graphs of inequalities in two variables

Graphing and solving linear inequalities

Section: Systems of Equations and Inequalities

Graphing systems of equations

Systems of equations

Systems of equations word problems

Systems of equations with substitution

Systems of equations with elimination

Graphical solutions to systems

Graphing systems of inequalities

Graphing and solving systems of

inequalities

Section: Multiplying and Factoring Expressions

Factoring linear binomials

Factoring quadratics 1

Factoring quadratics 2

Factoring difference of squares 2

Factoring difference of squares 3

Factoring polynomials by grouping

Factoring quadratics with two variables

Multiplying polynomials

Section: Exponential Expressions and equations

Properties of exponents

Simplifying rational expressions with

exponent properties

Simplifying expressions with exponents

Radical equations

Simplifying radicals 2

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For Students Entering Pre-Calculus or Pre-Calculus Honors

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Always Log In Before Beginning Any Khan Assignments!

LOG IN TO KHAN, THEN GO TO THE “MATH” SECTION, THEN TO “ALGEBRA.” THEN PRACTICE:

Linear Inequalities

Multi-step linear inequalities

Graphing Points, Equations, and Inequalities

Equations of parallel and perpendicular lines

Graphing and solving linear inequalities

Systems of Equations and Inequalities

Graphing systems of inequalities

Graphing and solving systems of inequalities

Functions

Understanding function notation

Positive and negative parts of functions

Evaluating expressions with function notation

Recognizing functions

Recognizing functions 2

Inverses of functions

Quadratics

Factoring polynomials by grouping

Completing the square 2

Solutions to quadratic equations

Graphing parabolas in standard form

Vertex of a parabola

Graphing parabolas in all forms

Exponent expressions and equations

Simplifying expressions with exponents

Radical equations

Ratios and rational expressions

Dividing polynomials by binomials 1

Simplifying rational expressions 1

Dividing polynomials by binomials 2

Simplifying rational expressions 2

Logarithms

Simplifying logarithms

Simplifying logarithms 2

Operations with logarithms

Imaginary and complex numbers

Imaginary unit powers

Adding and subtracting complex numbers

Multiplying complex numbers

Dividing complex numbers

LOG IN TO KHAN, THEN GO TO THE “MATH” SECTION, THEN TO “TRIGONOMETRY AND PRE-CALCULUS.” THEN PRACTICE:

Basic Trigonometric Ratios

Trigonometry 1

Reciprocal trig functions

Trigonometry 1.5

Special right triangles

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