(NC.5.NF.3) Students will use fractions to model and solve division problems.
- Students will interpret a fraction as an equal sharing context, where a quantity is divided into equal parts.
- Students will model and interpret a fraction as the division of the numerator by the denominator.
- Students will solve one-step word problems involving division of whole numbers leading to answers in the form of fractions and mixed numbers, with denominators of 2, 3, 4, 5, 6, 8, 10, and 12, using area, length, and set models or equations.
(NC.5.NF.4) Students will apply and extend previous understandings of multiplication to multiply a whole number by a fraction, including mixed numbers.
- Students will use area and length models to multiply a fraction by a whole number, with the denominators 2, 3, 4.
- Students will explain why multiplying a given number by a fraction greater than 1 results in a product greater than the given number and when multiplying a given number by a fraction less than 1 results in a product smaller than the given number.
(NC.5.NF.7) Students will solve one-step word problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions using area and length models, and equations to represent the problem.
(NC.5.NBT.1) Students will explain the patterns in the place value system from one million to the thousandths place.
- Students will explain that in a multi-digit number, a digit in ones place represents 10 times as much as it represents in the place to its right, and 1/10 of what it represents in the place to its left.
- Students will explain patterns in products and quotients when numbers are multiplied by 1,000, 100, 10, 0.1, 0.01 and/or divided by 10 and 100.
(NC.5.NBT.3) Students will read, write, and compare decimals to thousandths.
- Students will write decimals using base-ten numerals. number names, and expanded form.
- Students will compare two decimals to thousandths based on the value of the digits in each place, using >,=, and < symbols to record the results of comparisons.
(NC.5.MD.2) Students will represent and interpret data.
- Students will collect data by asking a question that yields data that changes over time.
- Students will make and interpret a representation of data using a line graph.
- Students will determine whether a survey question will yield categorical or numerical data, or data that changes over time.
Decimal Place Value Review https://quizizz.com/join/quiz/5dcc7debec02e3001c3624ad/start
(NC.5.NF.1) Students will add and subtract fractions, including mixed numbers, with unlike denominators using related fractions: halves, fourths and eighths; thirds, sixths, and twelfths; fifths, tenths, and hundredths.
- Students will use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.
- Students will solve one- and two-step word problems in context using area and length models to develop the algorithm. Represent the word problem in an equation.
(NC.5.NBT.7) Students will compute and solve real-world problems with multi-digit whole numbers and decimal numbers.
- Students will add and subtract decimals to thousandths using models, drawings or strategies based on place value.
- Students will use estimation strategies to assess reasonableness of answers.
(NC.5.OA.2) Students will write, explain, and evaluate numerical expressions involving the four operations to solve up to two-step problems. Include expressions involving:
- Students will understand using parentheses, using the order of operations.
- Students will use commutative, associative and distributive properties.