Sixth Grade Math

What is a ratio?

A comparison of two or more quantities.

How do you find equivalent ratios?

By multiplying or dividing both terms by the same number.

How do you verify if two ratios are equivalent?

Convert to fractions and check if they are equal.

Give an example of a real-world ratio application.

Mixing paint: 3 parts red to 2 parts blue.

How do you add decimals?

Align place values and add.

How do you divide fractions?

Multiply the first fraction by the reciprocal of the second.

How do you place the decimal in a multiplication problem?

Total decimal places in the factors.

How do you divide decimals?

Shift decimal in divisor to make it whole, and shift dividend the same amount.

What is a rate?

A ratio comparing different units.

What is a percent?

A fraction of 100.

How do you convert a percent to a decimal?

Divide by 100.

Give an example of a percent word problem.

20% off a $50 item.

What is an exponent?

Repeated multiplication of a base.

What is the order of operations?

PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

What is the rule for exponents applied to fractions?

Each part of the fraction is raised to the exponent.

What are negative numbers?

Numbers less than zero.

What is absolute value?

A number's distance from zero.

How do you compare negative numbers?

Closer to zero is greater.

What is a variable?

A symbol representing an unknown value.

How do you evaluate an expression?

Substitute values for variables.

What does combining like terms mean?

Adding or subtracting terms with the same variable and exponent.

What is the distributive property?

a(b + c) = ab + ac.

What are the parts of an algebraic expression?

Terms, coefficients, variables, constants.

What is the LCM?

Least Common Multiple.

What is the GCF?

Greatest Common Factor.

How do you find the area of a parallelogram?

Base × height.

How do you find the area of a triangle?

(1/2) × base × height.

What is a composite figure?

A figure made of multiple basic shapes.

What are the four quadrants?

(+,+), (-,+), (-,-), (+,-).

How do you find distance on a coordinate plane?

Distance formula or Pythagorean theorem.

How do you find the area of a polygon on a coordinate plane?

Using coordinates of vertices.

What is volume?

The amount of space inside a 3D object.

What is a net of a 3D figure?

A 2D representation that can be folded into the 3D shape.

How do you find the surface area of a rectangular prism?

2lw + 2lh + 2wh.

What is a statistical question?

A question with variability in data.

What is the mean?

Average of values.

What is the median?

Middle value when data is ordered.

What is the IQR?

Q3 - Q1.

What is MAD?

Mean Absolute Deviation.

What is a right-skewed data distribution?

Mean > Median, tail on the right.

How do you simplify ratios?

By dividing both terms by their greatest common factor.

How do you solve word problems that add or subtract decimals?

By identifying key values and aligning decimal places.

How can percents be represented?

As fractions and decimals.

How do exponents apply to fractions and decimals?

Each part is raised to the exponent.

How are rational numbers represented on a number line?

They can be plotted on both positive and negative sides of zero.

What is expression value intuition?

Understanding how variable changes affect expression values.

What is the difference between whole numbers and integers?

Whole numbers are non-negative; integers include negative numbers.

How do you find side lengths and perimeter of a polygon on a coordinate plane?

Using coordinates of vertices.

How do you calculate volume with mini cubes?

Count the total number of cubes within the shape.

How do you calculate volume with fractions?

Multiply the fractional dimensions.

What are dot plots and frequency tables used for?

To summarize and analyze data distributions.

What are the advantages of different data displays?

Histograms show frequency, box plots compare medians and outliers, etc.

How do you order rational numbers?

By comparing their positions on a number line.

What is the purpose of substituting values into expressions?

To evaluate the expression for a specific result.

What is the commutative property?

a + b = b + a and a × b = b × a.

What is a histogram?

A bar graph representing grouped numerical data in intervals.

What is a box plot?

A graph showing minimum, Q1, median, Q3, and maximum.

What is the formula for Mean Absolute Deviation (MAD)?

(Sum of absolute deviations) ÷ (Number of values)