5.NBTNumber and Operations in Base Ten
5.NBT.A.1Recognize that in a multi-digit number, a digit in one 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.
5.NBT.A.2Explain and apply patterns in the number of zeros of the product when multiplying a number by powers of 10. Explain and apply patterns in the values of the digits in the product or the quotient, when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
For example, 10⁰ = 1, 10¹ = 10... and 2.1 x 10² = 210.
5.NBT.B.5Fluently multiply multi-digit whole numbers using the standard algorithm.
5.NBT.B.6Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, subtracting multiples of the divisor, and/or the relationship between multiplication and division. Illustrate and/or explain the calculation by using equations, rectangular arrays, area models, or other strategies based on place value.
5.OA.A.1Use parentheses or brackets in numerical expressions, and evaluate expressions with these symbols.
5.OA.A.2Write simple expressions that record calculations with whole numbers, fractions, and decimals, and interpret numerical expressions without evaluating them.
For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 x (18,932 + 9.21) is three times as large as 18,932 + 9.21, without having to calculate the indicated sum or product.
4.OA.A.2Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and/or equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison
(Example: 6 times as many vs. 6 more than).
4.NBT.A.1Recognize that in a multi-digit whole number less than or equal to 1,000,000, a digit in one place represents ten times what it represents in the place to its right.
For example, (1) recognize that 700 ÷ 70 = 10; (2) in the number 7,246, the 2 represents 200, but in the number 7,426 the 2 represents 20, recognizing that 200 is ten times as large as 20, by applying concepts of place value and division.
4.NBT.A.2Read and write multi-digit whole numbers less than or equal to 1,000,000 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.
4.NBT.B.4Fluently add and subtract multi-digit whole numbers with sums less than or equal to 1,000,000, using the standard algorithm.
4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
4.NBT.B.6Find 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.
5.MD.A.1Convert among different-sized standard measurement units within a given measurement system, and use these conversions in solving multi-step, real-world problems (e.g., convert 5 cm to 0.05 m; 9 ft to 108 in).
Multiplication and Division of Multi-Digit Numbers
In module 3 students multiply numbers of up to four digits by one-digit numbers and two-digit numbers by two-digit numbers. Students also divide numbers of up to four digits by one-digit numbers, resulting in whole-number quotients and remainders.
Practice = Homework: These are the problems that should be completed and turned in.
Practice Partner = Homework Helper: These go over examples to help you and your child with the homework.
If you click the icon to the left, it will open up the practice and practice partner pages in case your child loses his/her apply workbook.
Multiplication of a Whole Number by a Fraction
Students extend their understanding of fractions from parts of a whole (e.g., 1 third of a shape) to parts of a set or a number (e.g., 1 third of a group of 12 items). They find fractions of a set and then transition to finding a fraction of a whole number. Students learn that finding a fraction of a whole number means they are finding the product of a fraction and a whole number. They apply this learning to converting customary measurement units.
Multiplication of Fractions
Students use area models and number lines to multiply fractions by unit fractions and then fractions by fractions. Throughout the topic, they reason about the value of products by considering whether the factors involved are greater than 1 or less than 1.
Division with a Unit Fraction and a Whole Number
Students use tape diagrams and number lines to divide a whole number by a unit fraction and to divide a unit fraction by a whole number. They solve word problems that involve multiplication of fractions and division of whole numbers and fractions, and students explain the relationship between multiplication and division.
Multi-Step Problems with Fractions
Students apply their previous learning about all operations with fractions to compare and evaluate expressions that contain grouping symbols. They create and solve word problems involving fractions, and they write equations with parentheses for word problems that require multiple steps to solve.
FAMILY MATH LETTERS are found in your child's Apply Workbook. This workbook will be utilized for homework and should stay with your child (never at the school). There will be a FAMILY MATH LETTER for each Module Topic.
Module 3 TA --- pages 3-4
Module 3 TB --- pages 41-42
Module 3 TC --- pages 71-72
Modudle 3 TD --- page 111
VIDEO LESSONS--- Click on the link below to access Kristin Wolfgang's Eureka Math Squared Module 3 playlist. There are ??? videos you can view to help you better understand the math content.
https://youtube.com/playlist?list=PLLPliXZQuGzGDqryga7WrEq9SxFt-MyQu&si=npR8kiH2mA0d42g3