English Language Arts
Writing: English Language Conventions: Students write using Standard English conventions appropriate to this grade level. Capitalization: Capitalize all proper nouns (names of specific people or things, such as Mike, Indiana, Jeep), words at the beginning of sentences and greetings, months and days of the week, and titles (Dr., Mr., Mrs., Miss) and initials in names.
Mathematics
Measurement and Data – Students will: Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.
Tell and write time to the nearest minute, and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram.
Number Sense: Understand and apply numbers, ways of representing numbers, and the relationships among numbers and different number systems.
Express whole numbers, fractions, decimals, and percents using and connecting multiple representations.
Number and Operations –Fractions Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
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?
Geometry – Students will: Reason with shapes and their attributes.
Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.
Number and Operations in Base Ten - Students will: Generalize place value understanding for multi-digit whole numbers.
Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
Number and Operations in Base Ten - Students will: Use place value understanding and properties of operations to perform multi-digit arithmetic.
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Students understand the relationships among numbers, quantities, and place value in whole numbers up to 1,000. They understand the relationship among whole numbers, simple fractions, and decimals.
Identify and interpret place value in whole numbers up to 1,000.
Number and Operations – Fractions – Students will: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
Geometric Properties: Analyze the attributes and properties of 2- and 3- dimensional figures and develop mathematical arguments about their relationships.
Justify which objects in a collection match a given geometric description.
Students understand the relationships among numbers, quantities, and place value in whole numbers up to 1,000. They understand the relationship among whole numbers, simple fractions, and decimals.
Identify and interpret place value in whole numbers up to 1,000.
Number Sense, Properties, and Operations Formulate, represent, and use algorithms with multi-digit whole numbers and decimals with flexibility, accuracy, and efficiency. Students can:
Find whole-number quotients of whole numbers. (CCSS: 5.NBT.6)
Use strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. (CCSS: 5.NBT.6)
Number and Operations – Fractions – Students will: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
Understand a fraction a/b as a multiple of 1/b.
Estimation and Measurement: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy. Measure and compare quantities using appropriate units, instruments and methods.
Solve addition, subtraction, multiplication and division problems using currency.
Students understand the relationships among numbers, quantities, and place value in whole numbers up to 1,000. They understand the relationship among whole numbers, simple fractions, and decimals.
Identify and interpret place value in whole numbers up to 1,000.
Number Sense: Understand and apply numbers, ways of representing numbers, and the relationships among numbers and different number systems.
Express whole numbers, fractions, decimals, and percents using and connecting multiple representations.
Number and Operations –Fractions Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
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?
Measurement: Understand and apply appropriate units of measure, measurement techniques, and formulas to determine measurements.
Apply measurement skills to measure length, mass, and capacity using metric units.
Convert like measurement units within a given measurement system and solve problems involving time.
Identify, estimate measure, and convert equivalent measures within systems English length (inches, feet, yards, miles) weight (ounces, pounds, tons) volume (fluid ounces, cups, pints, quarts, gallons) temperature (Fahrenheit) Metric length (millimeters, centimeters, meters, kilometers) volume (milliliters, liters), temperature (Celsius), (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems using appropriate tools.
Number and Operations in Base Ten - Students will: Generalize place value understanding for multi-digit whole numbers.
Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.