Build foundational skills and conceptual knowledge with this enormous collection of printable math worksheets drafted for students of elementary school, middle school and high school. Aligned with the CCSS, the practice worksheets cover all the key math topics like number sense, measurement, statistics, geometry, pre-algebra and algebra. Packed here are workbooks for grades k-8, teaching resources and high school worksheets with accurate answer keys and free sample printables.

Select the Grade

Number Sense

Read PDF 8th Grade Math 1 Scientific Notation Word Problems 8 Ee4 including you. Unlike Wikipedia articles, which are essentially lists of facts, Wikibooks is made up of linked chapters that aim to teach the reader about a certain subject. 8th Grade Math 1 Scientific In Unit 1, eighth grade students learn how complex-looking expressions. Sat, 14 Apr 2018 05:46:20 +0800 http://13ogaro.myq-see.com/Pus-m. 8th Grade Advanced Math (Math 1) Unit Plans & Resources Unit 1- Reasoning with Equations and Inequalities Unit 2- Linear Relationships (Equations and Inequalities).

The number sense worksheets familiarize kids with basic math operations and help them comprehend place values and types of numbers like odd, even, prime, composite and more.

Measurement

Equip kids with this set of measurement worksheets to help them identify the attributes of length, time, weight and capacity. Learn to compare sizes, read clocks, and calculate money as well.

Statistics

The statistics worksheets help organize data into meaningful graphs like bar, pie, line and pictographs. Find the mean, median, mode, range and MAD and learn permutation and combination.

Geometry

Geometry worksheets help identify 2D and 3D shapes, rays, lines and line segments. Determine the area and perimeter of rectangles and polygons. Find surface area, volume, angles and more.

Pre-Algebra

Prep-up with pre-algebra worksheets on fractions, decimals, integers, ratio, proportion, GCF and LCM, exponents and radicals. Comprehend speed, absolute values and more.

Algebra

The algebra worksheets provide practice in translating, evaluating and simplifying algebraic expressions. Learn polynomials and solve linear and quadratic equations, to mention a few.

Trigonometry

Get the know-how of trigonometry with charts and hands-on practice exercises on quadrants and angles, the 6 trigonometric ratios, unit circles, trigonometric identities and more!

Calculus

Get a vivid picture of differentiation and integration with the calculus worksheets. Know more about derivatives based on power, product and quotient rules, exponents, definite integrals and more.

Workbooks

Navigate through these math workbook compilations classified grade-wise based on the Common Core State Standards, featuring all key topics for children of preschool through grade 8.

Let your counting be a versatile and enjoyable affair! Don’t limit the counting practice to just the math time, but allow every time to be a counting time. Count at home, count at school, count in the park, and more. Go 1, 2, 3, 4 and on and on!

The key to evaluating expressions with parentheses is to first perform operations inside parentheses and brackets. What you do next is multiply and divide from left to right. Up next, you add and subtract from left to right. That’s the order of operations.

If your knowledge of calculating the difference between fractions and whole numbers is not as extensive as you would like it to be, bring this resource into your practice orbit. Subtract proper fractions, improper fractions, and more.

A prism is called a triangular prism if it has 3 rectangular faces and 2 parallel triangular bases. The surface area of a triangular prism is not as big of a deal as it sounds to be or you’re afraid it is — it’s nothing but the amount of space on the outside.

Most Popular Elementary School Worksheets

Kindle a love for math with engaging place value activities like color the caterpillar, cut and glue activities involving blocks, jigsaw puzzles, railroad cars and much more!

Connect math concepts to real-life scenarios with this bundle of addition word problems that involve single-digit, two-digit, three-digit addition, and the addition of large numbers.

Master the tricky technique of regrouping with 2, 3, 4 and 5-digit numbers featured in this package of practice worksheets on subtraction across zeros.

Calculate the perimeter of quadrilaterals, comprehend the congruent properties of quadrilaterals, and solve algebraic expressions with this batch of perimeter worksheets.

Most Popular Middle School Worksheets

The area of a trapezoid printables comprise adequate exercises with dimensions involving decimals, fractions and integers, learn unit conversions as well.

The constant of proportionality worksheets comprise ample exercises involving graphs, tables and equations to find the constant of proportionality.

Record your answers to the correct number of significant digits with this astounding variety of significant figures worksheets using the significant figure rules.

The MAD worksheets here essentially deal with finding the mean absolute deviation of data sets up to 6 and up to 10, compare data sets and solve word problems too.

Most Popular High School Worksheets

This unit of scale factor of similar figures worksheets helps comprehend how scale factor impacts side lengths, perimeters and areas of similar shapes.

The learning objectives here are to evaluate quadratic functions, write the quadratic function in different forms, complete function tables to mention a few.

Gain immense practice in finding the arithmetic sequence, identify the first term, common difference and number of terms; learn the recursive formula and much more!

This multitude of degrees and radians printable worksheets provide ample skills in the conversion of degrees to radians and vice-versa.

Sample Worksheets

You can read a gentle introduction to Sequences in Common Number Patterns.

What is a Sequence?

A Sequence is a list of things (usually numbers) that are in order.

Infinite or Finite

When the sequence goes on forever it is called an infinite sequence,
otherwise it is a finite sequence

Examples:

{1, 2, 3, 4, ...} is a very simple sequence (and it is an infinite sequence)

{20, 25, 30, 35, ...} is also an infinite sequence

{1, 3, 5, 7} is the sequence of the first 4 odd numbers (and is a finite sequence)

{4, 3, 2, 1} is 4 to 1 backwards

{1, 2, 4, 8, 16, 32, ...} is an infinite sequence where every term doubles

{a, b, c, d, e} is the sequence of the first 5 letters alphabetically

{f, r, e, d} is the sequence of letters in the name 'fred'

{0, 1, 0, 1, 0, 1, ...} is the sequence of alternating 0s and 1s (yes they are in order, it is an alternating order in this case)

In Order

When we say the terms are 'in order', we are free to define what order that is! They could go forwards, backwards ... or they could alternate ... or any type of order we want!

Like a Set

A Sequence is like a Set, except:

• the terms are in order (with Sets the order does not matter)
• the same value can appear many times (only once in Sets)

Example: {0, 1, 0, 1, 0, 1, ...} is the sequence of alternating 0s and 1s.

The set is just {0,1}

Notation

The curly brackets { } are sometimes called 'set brackets' or 'braces'.

A Rule

A Sequence usually has a Rule, which is a way to find the value of each term.

Example: the sequence {3, 5, 7, 9, ...} starts at 3 and jumps 2 every time:

As a Formula

Saying 'starts at 3 and jumps 2 every time' is fine, but it doesn't help us calculate the:

• 10^th term,
• 100^th term, or
• n^th term, where n could be any term number we want.

So, we want a formula with 'n' in it (where n is any term number).

So, What Can A Rule For {3, 5, 7, 9, ...} Be?

Firstly, we can see the sequence goes up 2 every time, so we can guess that a Rule is something like '2 times n' (where 'n' is the term number). Let's test it out:

Test Rule: 2n

That nearly worked ... but it is too low by 1 every time, so let us try changing it to:

Test Rule: 2n+1

That Works!

So instead of saying 'starts at 3 and jumps 2 every time' we write this:

2n+1

Now we can calculate, for example, the 100th term:

2 × 100 + 1 = 201

Many Rules

But mathematics is so powerful we can find more than one Rule that works for any sequence.

Example: the sequence {3, 5, 7, 9, ...}

We have just shown a Rule for {3, 5, 7, 9, ...} is: 2n+1

And so we get: {3, 5, 7, 9, 11, 13, ...}

But can we find another rule?

How about 'odd numbers without a 1 in them':

And we get: {3, 5, 7, 9, 23, 25, ...}

A completely different sequence!

And we could find more rules that match {3, 5, 7, 9, ...}. Really we could.

So it is best to say 'A Rule' rather than 'The Rule' (unless we know it is the right Rule).

Notation

To make it easier to use rules, we often use this special style:

Example: to mention the '5th term' we write: x₅

So a rule for {3, 5, 7, 9, ...} can be written as an equation like this:

x_n = 2n+1

And to calculate the 10th term we can write:

x₁₀ = 2n+1 = 2×10+1 = 21

Can you calculate x₅₀ (the 50th term) doing this?

Here is another example:

Example: Calculate the first 4 terms of this sequence:

{a_n} = { (-1/n)ⁿ }

Calculations:

• a₁ = (-1/1)¹ = -1
• a₂ = (-1/2)² = 1/4
• a₃ = (-1/3)³ = -1/27
• a₄ = (-1/4)⁴ = 1/256

Answer:

{a_n} = { -1, 1/4, -1/27, 1/256, ... }

Special Sequences

Now let's look at some special sequences, and their rules.

Arithmetic Sequences

In an Arithmetic Sequencethe difference between one term and the next is a constant.

In other words, we just add some value each time ... on to infinity.

Example:

This sequence has a difference of 3 between each number.
Its Rule is x_n = 3n-2

In General we can write an arithmetic sequence like this:

{a, a+d, a+2d, a+3d, ... }

where:

• a is the first term, and
• d is the difference between the terms (called the 'common difference')

And we can make the rule:

x_n = a + d(n-1)

(We use 'n-1' because d is not used in the 1st term).

Unit 9: Radicalsmr. Graham's 8th Grade Algebra Website 2

Geometric Sequences

In a Geometric Sequence each term is found by multiplying the previous term by a constant.

Example:

This sequence has a factor of 2 between each number.
Its Rule is x_n = 2ⁿ

In General we can write a geometric sequence like this:

{a, ar, ar², ar³, ... }

where:

• a is the first term, and
• r is the factor between the terms (called the 'common ratio')

Note: r should not be 0.

• When r=0, we get the sequence {a,0,0,...} which is not geometric

And the rule is:

x_n = ar^(n-1)

(We use 'n-1' because ar⁰ is the 1st term)

Triangular Numbers

The Triangular Number Sequence is generated from a pattern of dots which form a triangle:

By adding another row of dots and counting all the dots we can find the next number of the sequence.

But it is easier to use this Rule:

x_n = n(n+1)/2

Example:

• the 5th Triangular Number is x₅ = 5(5+1)/2 = 15,
• and the sixth is x₆ = 6(6+1)/2 = 21

Square Numbers

The next number is made by squaring where it is in the pattern.

Rule is x_n = n²

Cube Numbers

The next number is made by cubing where it is in the pattern.

Rule is x_n = n³

Fibonacci Sequence

This is the Fibonacci Sequence

The next number is found by adding the two numbers before it together:

• The 2 is found by adding the two numbers before it (1+1)
• The 21 is found by adding the two numbers before it (8+13)
• etc...

Unit 9: Radicalsmr. Graham's 8th Grade Algebra Website Answer

Rule is x_n = x_n-1 + x_n-2

That rule is interesting because it depends on the values of the previous two terms.

The Fibonacci Sequence is numbered from 0 onwards like this:

Example: term '6' is calculated like this:

x₆ = x_6-1 + x_6-2 = x₅ + x₄ = 5 + 3 = 8

Series and Partial Sums

Now you know about sequences, the next thing to learn about is how to sum them up. Read our page on Partial Sums.

When we sum up just part of a sequence it is called a Partial Sum.

But a sum of an infinite sequence it is called a 'Series' (it sounds like another name for sequence, but it is actually a sum). See Infinite Series.

Example: Odd numbers

Sequence: {1, 3, 5, 7, ...}

Series: 1 + 3 + 5 + 7 + ...

Partial Sum of first 3 terms: 1 + 3 + 5