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- Common Core MathK - 8High School

509 questions25 skills

137 questions7 skills

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.

Equivalent expressions with common denominators

Add fractions with unlike denominators

Add and subtract mixed numbers with unlike denominators (no regrouping)

Add and subtract fractions

Visually add and subtract fractions

Add and subtract mixed numbers with unlike denominators (regrouping)

Subtracting fractions with unlike denominators

18 questions1 skill

Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.

46 questions2 skills

Interpret a fraction as division of the numerator by the denominator (*a*/*b* = *a* ÷ *b*). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

122 questions6 skills

Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

60 questions3 skills

Interpret the product (*a*/*b*) × *q* as a parts of a partition of *q* into *b* equal parts; equivalently, as the result of a sequence of operations* a* × *q* ÷ *b*.

39 questions2 skills

Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

28 questions1 skill

Interpret multiplication as scaling (resizing), by:

28 questions1 skill

Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.

28 questions1 skill

Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence *a*/*b* = (*n* × *a*)/(*n* × *b*) to the effect of multiplying *a*/*b* by 1.

57 questions3 skills

Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

101 questions5 skills

Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

39 questions2 skills

Interpret division of a unit fraction by a non-zero whole number, and compute such quotients.

44 questions2 skills

Interpret division of a whole number by a unit fraction, and compute such quotients.

18 questions1 skill

Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem.