MAT-05 Targeted Standards
(NBT) Domain: Number and Operations in Base Ten
Cluster: Understand the place value system.

MAT-05.NBT.03.a Read, write, and compare decimals to thousandths. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000).

MAT-05 Targeted Standards
(NBT) Domain: Number and Operations in Base Ten
Cluster: Understand the place value system.

MAT-05.NBT.03.b Read, write, and compare decimals to thousandths. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

MAT-05 Targeted Standards
(NBT) Domain: Number and Operations in Base Ten
Cluster: Understand the place value system.

MAT-05.NBT.04 Use place value understanding to round decimals to any place.

Domain (NF)

Number and Operations - Fraction

MAT-05 Targeted Standards
(NF) Domain: Number and Operations - Fractions
Cluster: Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

MAT-05.NF.03 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. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?

MAT-05 Targeted Standards
(NF) Domain: Number and Operations - Fractions
Cluster: Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

MAT-05.NF.04 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. t

MAT-05 Targeted Standards
(NF) Domain: Number and Operations - Fractions
Cluster: Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

MAT-05.NF.04.a Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3, and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/d) = ac/bd.) t

MAT-05 Targeted Standards
(NF) Domain: Number and Operations - Fractions
Cluster: Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

MAT-05.NF.04.b Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. 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. t

MAT-05 Targeted Standards
(NF) Domain: Number and Operations - Fractions
Cluster: Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

MAT-05.NF.05 Interpret multiplication as scaling (resizing), by:

MAT-05 Targeted Standards
(NF) Domain: Number and Operations - Fractions
Cluster: Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

MAT-05.NF.05.a Interpret multiplication as scaling (resizing), by: 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.

MAT-05 Targeted Standards
(NF) Domain: Number and Operations - Fractions
Cluster: Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

MAT-05.NF.05.b Interpret multiplication as scaling (resizing), by: 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 = (nxa)/(nxb) to the effect of multiplying a/b by 1.

MAT-05 Targeted Standards
(NF) Domain: Number and Operations - Fractions
Cluster: Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

MAT-05.NF.07.a Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4 and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) x 4 = 1/3.

MAT-05 Targeted Standards
(NF) Domain: Number and Operations - Fractions
Cluster: Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

MAT-05.NF.07.b Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4 and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) x 4 = 1/3.