**Box Elder Learning Standards**

**5th Grade Mathematics**

**1) Add and Subtract Fractions and mixed numbers with unlike denominators and solve real**

**world problems**

**Essentia**l

❏ I can add and subtract fractions including mixed numbers with unlike denominators (NF.1,).

❏ I can solve real-world problems using addition and subtraction of fractions. (NF.2)

**Important**

❏ I can use benchmark fractions to estimate and check reasonableness of answers. (NF.2)

**Nice to Know**

❏ I can make a line plot to display a data set of measurements in fractions (MD.2).

**2) Multiply fractions and solve real world problems (fraction by fraction, fraction by whole and**

**mixed numbers)**

**Essential**

❏ I can multiply a fraction by a whole number, a mixed number, or another fraction. (NF.4a)

❏ I can recognize that when multiplying, the product of a whole number and a fraction depends on

the size of the fraction. (NF.5a,b).

❏ I can solve real-world problems that involve multiplication of fractions and mixed numbers.(NF.6)

**Important**

❏ I can find the area of a rectangle with fractional side lengths. (NF.4b)

❏ I can represent fractional products as rectangular areas. (NF.4b)

**3) Divide Fractions (whole by whole, unit by whole, whole by unit) and solve real world**

**problems**

**Essential**

❏ I can interpret a fraction as division of the numerator by the denominator. (NF.3)

❏ I can solve real world problems involving division of whole numbers leading to answers in the form

of fractions or mixed numbers (NF.3).

❏ I can divide whole numbers by unit fractions and unit fractions by whole numbers. (NF.7)

**Important**

❏ I can use strategies to divide fractions by reasoning about the relationship between multiplication

and division. (NF.7)

4) Add and Subtract Decimals and solve real world problems

**Essential**

❏ I can add and subtract decimals to the hundredths place. (NBT,7)

**Important**

❏ I can use place value models, properties of operations, and/or the relationship between addition

and subtraction to add and subtract decimals. (NBT,7)

**Nice to Know**

❏ I can make connections between strategies and written methods and explain the reasoning for

adding and subtracting decimals. (NBT,7)

**5) Multiply Multi-Digit numbers and decimals and solve real world problems (product not**

**exceeding hundredths)**

**Essential**

❏ I can fluently multiply multi-digit whole numbers using the standard algorithm (NBT.5).

❏ I can multiply decimals to the hundredths place. (NBT.7)

**Important**

❏ I can use strategies, draw, or explain how to multiply up to hundredths. (NBT.7).

**Nice to Know**

❏ I can convert among different-sized standard measurement units within a given (metric or

customary) measurement system. (MD.1)

**6) Divide multi-digit whole numbers and decimals and solve real world problems (Whole**

**numbers by decimals or decimals by whole numbers)**

**Essential**

❏ I can find whole number quotients of whole numbers with up to four-digit dividends and two-digit

divisors. (NBT.6)

❏ I can divide decimals to the hundredths place. (NBT.7)

❏ I can compare the value of the quotient by the values of the dividend and divisor. (NBT,7)

**Important**

❏ I can use strategies, draw, or explain how to divide up to four-digit whole numbers by two-digit

divisors (NBT.6).

❏ I can use strategies, draw, or explain how to divide up to hundredths. (NBT.7).

**Nice to Know**

❏ I can convert among different-sized standard measurement units within a given (metric or

customary) measurement system. (MD.1)

**7) Use Order of Operations including parentheses, brackets, and braces of whole numbers**

**Essential**

❏ I can evaluate expressions that include parentheses, brackets, and braces, (OA.1).

**Important**

❏ I can write and interpret simple expressions. (OA.2a)

❏ I can interpret numerical expressions without evaluating them. (OA.2b)

❏ I can generate two numerical patterns using two given rules, identify the relationships between the

terms, then form and graph ordered pairs. (OA.3)

**8) Understand and apply the concepts of volume of rectangular prisms to solve real world**

**problems with whole numbers.**

**Essential**

❏ I can find the volume of right rectangular prisms using unit cubes and the formula. (MD.3, MD.4,

MD.5b)

❏ I can solve real-world and mathematical problems involving volume. (MD.5)

**Nice to Know**

❏ I can find the composite volume of right rectangular prisms by adding the volumes of

non-overlapping parts. ( MD.5c)

**9) Recognize the 10 to1 relationship among place value positions. Understand the Place Value**

**system with whole numbers to millions and decimals to thousandths. (MD.1)**

**Essential**

❏ I can explain the “10 times” and “1/10” relationships, the zero patterns, and decimal placement

when multiplying and dividing by powers of 10 (NBT.1,NBT.2).

❏ I can read and write decimals to the thousandths (NBT.3a).

❏ I can compare decimals to the thousandths (NBT.3b).

**Important**

❏ I can round decimals to any place (NBT.4)

**Note:**

**The following Core Standards do not connect directly to the BELS but should be introduced/integrated**

**in 5th grade math as part of Geometry.**

Nice to Know

❏ I can create a coordinate plane, identify its parts, and a given point in the plane using an ordered

pair of numbers. (G.1a)

❏ I can locate a point in Q1 by using the x and y coordinates (always starting at the origin) and

traveling the given distances, first on the x or horizontal axis and then on the y or vertical axis.

(G.1b)

❏ I can represent real-world problems by graphing points in Q1, and interpreting the coordinate

value of the points in the context of a situation. (G.2)

❏ I understand that attributes belonging to a category of 2-D figures also belong to its subcategories.

(G.3)

❏ I can classify 2-D figures in a hierarchy based on properties. (G.4)

**BELS-(Essential Standards): **These standards are the main curricular focus of the grade.

Tier 1 instructional time is spent on these standards to ensure all students are proficient on

these standards. Common Formative and Summative assessments are administered to

determine which students need interventions or enrichments.

**Important Standards**: These standards support or extend the BELS. Tier 1 instruction time is

spent to ensure understanding. Student learning is assessed; but will not be a focus of

intervention.

Nice to Know Standards: These standards are introduced and integrated during the grade

as part of Tier 1 instruction.