Common Core Math Concepts: K-8

Practice two-digit addition with carrying, using the examples in the lecture to add tens and ones, then try on your own and have a parent or teacher check.

Explore basic math terms from subtraction and expressions to real world context, including addition, sums, hundreds tens and ones, distribute and divide, calculate, round, fractions, mass, and mean.

Explore two-digit subtraction with borrowing, illustrated by 31 minus 26 and other examples. Apply the same borrowing method to solve the remaining two problems.

Explore multiplication and its link to repeated addition using the upcoming chart, with examples like one times two equals one plus one, or two plus two.

Explore division rules and practice copying equations. Note that any number divided by itself equals 1, while zero divided by zero would equal any number at all.

apply real-world math to everyday scenarios by adding multiple quantities, subtracting when fewer are present, and evaluating totals, as shown in shirts, candies, and chicken wings examples.

Apply rounding rules to whole numbers and decimals: digits 5–9 round up, digits 0–4 round down. Practice rounding to the nearest tenth, hundredth, and thousandth.

Explore essential fraction rules: simplifying fractions, handling zero and undefined cases, working with negative fractions, and multiplying with cancellation to simplify results.

Learn to read clocks with the big hand and the little hand to tell time. Know that 60 seconds per minute, 60 minutes per hour, and 24 hours per day.

Explore basic logic by evaluating true or false statements, testing hypotheses, and recognizing input–output relationships and the connection between statements, theory, and algorithms.

Practice long division using example problems to find quotients with a divisor, handle remainders, and convert to decimals, illustrating step-by-step subtraction and placement of digits.

Explore grouping and factoring numbers with a factor tree, identify primes, and apply greatest common factor and least common multiple using examples like 6 and 12 and 3 and 4.

Explore long addition concepts, including carrying and solving color-coded example problems, then practice with a partner by writing and solving your own long addition problems.

Explore long subtraction, borrowing across three or more digits, and its exact same concept as two-digit subtraction, with real-world examples like 800 from 1000 equals 200.

Learn the order of operations, including parentheses, exponents, multiplication, division, addition, and subtraction, and use the mnemonic please excuse my dear and sauli to solve equations.

Print the table of numerical signs from the following website, then test your knowledge with a partner and redo any incorrect answers.

Explore volume concepts in k-8 math by computing volumes of cube, sphere, ellipsoid, cone, and pyramid. Practice solving and verifying answers with targeted problems.

Explore the area of different shapes by memorizing area values and testing yourself. Practice until you understand and extend to finding the area of irregular shapes, surface area, and scale.

Identify the coordinate plane with its x-axis and y-axis as the space for graphing and understand why this plane is essential for linear algebra and inequality graphs.

Explore key geometry terms such as pattern, area, volume, shape, coordinate plane, point, bar graph, line graph, geometry sequence, pie chart, scale factor, three-dimensional plane, and measurement.

Explore how ratios express a proportional equation between two amounts. Review examples like 1 to 5, 4 to 1, and 5 to 3, then practice writing your own ratios.

Explore how percent relates to fractions of 100, convert percent to decimals, and check examples like 10% = 0.01, 88% = 0.88, and 100% = 1.

Learn about common multiples and their relation to grouping and factors in the lcm lesson.

Explore inequalities and fractions using less than, greater than, and equal to; learn solving steps by subtracting from both sides to isolate x and compare values.

Learn to read graphs and identify graph types by engaging with the recommended resources, then test yourself with visuals and review drawn graphs to reinforce memory.

Explore scale factors that multiply quantities, with examples showing a scale factor of 1.5 from 8 to 12 or from 6 to 9.

Learn how decimal expansion converts fractions into decimals, turning four fifths into four divided by five to get 0.8, and use calculators to turn any fraction into a decimal.

Explore calculation using a calculator or mental math to solve problems, and learn how practicing with a manual strengthens algebra, pre-calculus, calculus, and fluid mechanics.

Explore scientific notation as the standard form for writing very large or small numbers, converting values by adjusting powers of ten and moving the decimal point.

Examine what mathematics is within the common core math concepts for K-8 and identify its place.

Discover recommended books that support understanding of common-core math concepts for K-8 students. Learn how these resources align with standards to strengthen classroom practice.