The test for this Unit will tentatively be on February 14th.
In this unit, students begin by interpreting a fraction as a quotient and use their understanding of whole number multiplication to multiply a whole number and a fraction. Students solve problems involving division of whole numbers with answers that are fractions (which could be in the form of mixed numbers). They develop an understanding of fractions as the division of the numerator by the denominator, that is 𝑎 ÷ 𝑏 = 𝑎/𝑏 . Building from students’ work in third grade with multiplication and division with whole numbers in terms of equal-sized groups, students will use multiplication to represent equal-sized groups of fractional amounts. They will solve problems that involve the multiplication of a whole number by a fraction or mixed number using properties of operations. Students will make sense of division of fractions from situations that involve a whole number and a unit fraction and recall that division can be understood in terms of finding the number of equal-sized groups or finding the size of each group. Students will use multiplicative comparison to compare the size of a product of a fraction and a whole number to the size of one of the factors.
- 5.NR.3: Describe fractions and perform operations with fractions to solve real-life, mathematical problems using part whole strategies and visual models.
- 5.NR.3.1 Explain the meaning of a fraction as division of the numerator by the denominator (𝑎/𝑏 = a ÷ b). Solve problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers.
- 5.NR.3.4 Model and solve problems involving multiplication of a fraction and a whole number.
- 5.NR.3.5 Explain why multiplying a whole number by a fraction greater than one results in a product greater than the whole number, and why multiplying a whole number by a fraction less than one results in a product less than the whole number and multiplying a whole number by a fraction equal to one results in a product equal to the whole number.
- 5.NR.3.6 Model and solve problems involving division of a unit fraction by a whole number and a whole number by a unit fraction
- 6.GSR.5: Solve relevant problems involving area, surface area, and volume.
- 6.GSR.5.1 Explore area as a measurable attribute of triangles, quadrilaterals, and other polygons conceptually by composing or decomposing into rectangles, triangles, and other shapes. Find the area of these geometric figures to solve problems
- 6.NR.1: Solve relevant, mathematical problems involving operations with whole numbers, fractions, and decimal numbers
- 6.NR.1.2 Multiply and divide any combination of whole numbers, fractions, and mixed numbers using a student-selected strategy. Interpret products and quotients of fractions and solve word problems.