6th Math Final Review

Presentation

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Mathematics

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6th Grade

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Medium

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CCSS

6.EE.A.2B, 6.SP.B.5C, 6.SP.B.4

+34

Standards-aligned

Dijonnae Robinson

Used 4+ times

FREE Resource

40 Slides • 52 Questions

6th Math Final Review

The real number system flows upward. A natural number is also a whole number, integer, and rational number. A Rational number is not always an integer, whole number, or natural number.

Unit 1: What is a Number?

Real Number system

Multiple Choice

What are all the categories zero (0) can be identified as?

Natural Numbers, Whole Numbers, Integers, and Rational Numbers

Whole Numbers, Integers, and Rational Numbers

Integers, and Rational Numbers

Rational Numbers

Numbers that are in the opposite position on the number line are opposite numbers.

The distance a number is from 0 on a number line is the absolute value. Remember distance can never be negative. So your absolute value will also be positive.

Unit 1: What is a Number?

Opposite Numbers & Absolute Value

Multiple Choice

What is the opposite of 4?

-4

$\frac{1}{4}$

$-\frac{1}{4}$

Multiple Choice

What is the absolute value of 4?

-4

$\frac{1}{4}$

$-\frac{1}{4}$

When comparing and ordering integers on a number line the integer furthest to the right is greater and the integer furthest to the left is less.

The bigger a negative integers is the smaller the integer is in value.

Unit 1: What is a Number?

Comparing & Ordering Integers

Multiple Choice

Which list represents integers ordered from smallest to largest?

-14, -24, -4, 4

-4, 0, 4, 7

14, 4, 0, -7

-12, -13, -4, 7

When comparing decimals line up the numbers according to place value. If needed, fill empty spaces with zeros. Then compare numbers in each place value starting with the largest.

A hint for comparing decimals is to think of it as money.

Unit 1: What is a Number?

Comparing & Ordering Decimals

Multiple Choice

Which list represents decimals ordered from largest to smallest?

.8, .75, .79, .5

.5, .75, .79, .8

.79, .75, .5, .8

.8, .79, .75, .5

When comparing and ordering fractions get a common denominator by finding the Least Common Multiple (LCM) of all denominators and order by the numerator.

You can also use benchmark fractions of 0, 1/2, and 1.

Unit 1: What is a Number?

Comparing & Ordering Fractions

Multiple Choice

Which list represents fractions ordered from smallest to largest?

$\frac{1}{2},\ \frac{7}{8},\ \frac{3}{4},\ \frac{5}{6}$

$\frac{1}{2},\ \frac{3}{4},\ \frac{7}{8},\frac{5}{6}$

$\frac{1}{2},\ \frac{3}{4},\ \frac{5}{6},\ \frac{7}{8}$

$\frac{7}{8},\ \frac{5}{6},\ \frac{3}{4},\ \frac{1}{2}$

Dividend is the number being divided.

Divisor is how many groups you are splitting the divided into.

Quotient is how many are in each group, aka the answer.

For example: If i give you 512 cookies(Dividend) and ask you to share them with 4 friends(Divisor) each friend will have 128 cookies(Quotient)

Unit 2: Operating Rationally

Division Vocabulary

Multiple Choice

Which expression represent $\frac{3}{12}$ ?

$12\ \div\ 3$

$3\ \div\ 12$

To simplify rationals you need to first identify the largest number that divides both the numerator and denominator (Greatest Common Factor) then divided both the numerator and denominator by the GCF to arrive at the lowest term.

You can also repeatedly divide the numerator and denominator by 2, 3, or 5 until the numerator and denominator have no other factors in common other than 1.

Unit 2: Operating Rationally

Simplifying Fractions

Multiple Choice

What is $\frac{8}{12}$ in its most reduced term

$\frac{8}{12}$

$\frac{4}{6}$

$\frac{2}{3}$

$\frac{3}{2}$

To convert a rational to a mixed number First divide the numerator by the denominator. Then write down the whole number answer and finally write down the remainder above the denominator.

Unit 2: Operating Rationally

converting An Improper Fraction to a Mixed Number

Multiple Choice

Which answer represents $\frac{7}{4}$ as a mixed number?

$1\frac{3}{4}$

$2\frac{1}{4}$

$7\frac{1}{4}$

$1\frac{1}{2}$

To convert a mixed number to a rational first multiply the denominator by the whole number. Then add the answer to the numerator. Finally, write down the answer over the denominator.

Unit 2: Operating Rationally

converting An Mixed Number to An Improper Fraction

Multiple Choice

Which rational represents $4\frac{2}{5}$ ?

$\frac{24}{5}$

$\frac{20}{5}$

$\frac{5}{22}$

$\frac{22}{5}$

When adding or subtracting rationals first convert any mixed numbers or whole numbers to a rational. Then find a common denominator by finding the LCM. then add or subtract the numerators and keep the same common denominator. Always check to see if simplifying is needed.

Unit 2: Operating Rationally

Adding & Subtracting Fractions

Multiple Choice

What is the sum of $1\frac{3}{4}\ +\ 1\frac{1}{3}$ ?

$3\frac{1}{2}$

$2\frac{4}{7}$

$3\frac{1}{12}$

$2\frac{1}{12}$

When adding or subtracting decimals you need to line them up by place value. Put any zeros as filler for empty spaces if needed. Then drop your decimal down to your answer. Add or subtract like normal.

Unit 2: Operating Rationally

Adding & Subtracting Decimals

Multiple Choice

What is the sum of 65.371 + 34.5 ?

98.871

99.871

100.817

101.718

To multiply fractions you do not need a common denominator. Convert all mixed and whole numbers to rationals. Multiply your numerators, then multiply your denominators. Simplify as needed.

Unit 2: Operating Rationally

Multiplying Fractions

Multiple Choice

What is the product of $3\frac{1}{2}\ \times\ 12$ ?

$36\frac{1}{2}$

$18\frac{1}{2}$

When multiplying decimals you do not line up by place value. Stack the longer number on top. Multiply like normal. Then count the number of decimal spots and swing your answer in that many times.

Unit 2: Operating Rationally

Multiplying Decimals

Multiple Choice

What is the product of .83 x 4 ?

332

33.2

3.32

.332

When dividing fractions convert your mixed and whole numbers into rationals. Then perform Keep Change Flip (KCF). After you will multiply your numerators, multiply your denominators and reduced if needed.

Unit 2: Operating Rationally

Dividing Fractions

Multiple Choice

What is the quotient of $\frac{1}{2}\ \div\ \frac{1}{6}$ ?

$\frac{1}{3}$

$\frac{1}{12}$

Make sure your divisor is a whole number and move your dividend the same amount of times you moved your divisor. Bring the decimal up to the quotient and Divide like normal.

Unit 2: Operating Rationally

Dividing Decimals

Multiple Choice

What is the quotient of $23.155\ \div\ 0.5$ ?

45.32

46.31

47.3

A ratio is a comparison between two things. Make sure to always label a ratio so you know what you are comparing. You must write ratios in the order asked. There are part to whole and part to part ratios. You write ratios in word, colon and fractional form.

Unit 3: Dare to Compare

Ratios

Multiple Choice

What is the ratio of apples to fruit?

6:3

3 to 6

3/9

6:9

A proportion is two ratios set equal to one another. There are various methods to solve proportions. Simplify the ratios, find the scale factor, cross-product or convert to decimals.

Unit 3: Dare to Compare

Proportions

Multiple Choice

The ratio of the number of boys to girls in the beginner band is 6 to 2. There are 30 girls in the beginner band. How many boys are there in the beginner band?

100

Rates are a ratio that compares different units of measure.

Unit rate is a rate that compares a quantity of one to the other.

Unit 4: Just Rate a Minute

Rate & Unit Rate

Multiple Choice

A car travels 240 miles in 4 hours. How many miles did the car travel per hour?

100

When converting a fraction to a decimal divide the numerator by the denominator.

When converting a decimal to a percent multiply the decimal by 100 (which is the same as moving the decimal to the right twice).

When converting a percent to a fraction put the percent over 100 and simplify.

When converting a percent to a decimal divide by 100 (which is the same as moving the decimal to the left twice).

Unit 5: Out of 100.

Converting Rationals

Multiple Choice

Which answer choice shows .52 as a percent?

.52%

5.2%

52%

Multiple Choice

Which answer choice shows .52 as a simplified fraction?

$\frac{26}{50}$

$\frac{13}{25}$

$\frac{52}{100}$

Multiple Choice

Which answer choice shows $\frac{1}{4}$ as a decimal?

.25

.24

.23

When solving percent proportions always start by writing down your formula. The number closer to "is" will be your part/numerator. The number closer to "of" is your whole/denominator. Your percent will always go over 100. After the set uo you sovle like a proportion.

Unit 5: Out of 100.

Percent Proportions

Multiple Choice

What is 75% of 4?

When solving a percent change you first want to write down your formula. They find the amount of change by subtracting the original from the new. After setting up your formula divide and multiply by 100.

Unit 5: Out of 100.

Percent Change

Multiple Choice

A small town has a population of 300 people. Over the next few years, it grew to 380 people. What percent did it change?

23%

25%

27%

29%

Independent quantities are what can stand alone. Your independent is shown by your x-value or x-axis.

Dependent quantities are changed by other factors. Your independent is shown by your y-value or y-axis.

Unit 6: Representation Nation

Independent vs. dependent Quantities

Multiple Choice

Miles that can be driven

Gallons of gas in tank

Miles per gallon

Price per gallon

Multiple Choice

10, 20, 30, 40, 50

1, 2, 3, 4, 5

11, 22, 33, 44, 55

101, 202, 303, 404, 505

Additive relationship compares your independent and dependent quantities using addition.

Multiplicative relationship compares your independent and dependent quantities using multiplication.

Unit 6: Representation Nation

Additive vs Multiplicative Relationship

Multiple Choice

PArts of an equation

Multiple Choice

How many terms are in the following expression:

6x + 4y -8 + 9x + 7

Multiple Choice

What are the coefficients in the following expression:

6x + 4y -8 + 9x + 7

6, 4, and -8

6, 4, and 7

6, 4 and 9

6, -8 and 7

Multiple Choice

What are the constants in the following expression:

6x + 4y -8 + 9x + 7

-8 and 7

6 and 4

8 and 7

9 and 7

Multiple Choice

What are the variables in the following expression:

6x + 4y -8 + 9x + 7

x and 6

y and 4

9 and -8

x and y

Order of Operations

Multiple Choice

Solve the following expression using Order of Operations

$\left(3\ +\ 1\right)^2-2\times5\ \div2\ +\ 4$

Algebraic properties

Draw

Match each expression with one of the properties shown.

An exponent is repeated multiplication. The base tells you what to multiply and the exponent tells you how many times to multiply the bas.

Unit 7: The Same, but Different

Exponents

Fill in the Blanks

Type answer...

Prime factorization is a way to write a number as only its prime factor. Remember a prime number is a number that only has 1 and itself as factors. A composite number has more than 2 factors. You write your prime factorization in expanded form ( 2x2x3x5) and exponential form ( 2³x3x5).

Unit 7: The Same, but Different

Prime Factorization

Draw

Complete the prime factorization tree. Write the answer in expanded & exponential form

Inequalities

The steps for solving equations and inequalities are the same.

Remember that 5x = 5 multiplied by x and x/2 means x divided by 2.

You want to do the inverse operations to get your variable by itself.

The inverse of addition is subtraction. The inverse of subtraction is addition.

The inverse of multiplication is division. The inverse of division is multiplication.

Unit 8: Just Solve It!

solving Equations & Inequalities

Fill in the Blanks

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Triangles

Fill in the Blanks

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Multiple Choice

Which of these lengths could be the sides of a triangle?

10, 7 and 16

6, 10 and 16

14,4 and 19

3, 14 and 19

Triangles cont.

The longest side is opposite of the largest angle.

The shortest side is the opposite of the smallest angle.

The smallest angle is the opposite of the shortest side.

The largest angle is opposite of the longest side.

Multiple Choice

Hint: Draw the triangle out.

area of 2d shapes

Multiple Choice

What is the area of the a 5 by 10 rectangle?

Multiple Choice

What is the area of the a triangle with a base of 12 and a height of 10

120

Multiple Choice

What is the area of a trapezoid with a base of 8 and 10 and a height of 5

The volume of Rectangular Prism

Fill in the Blanks

Type answer...

The measure of Central tendency

Fill in the Blanks

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Dot plot

Multiple Choice

Histogram

Multiple Choice

Box Plot

Multiple Choice

Steam-and-leaf plot

Multiple Choice

6th Math Final Review

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