5.NBT.AUnderstand the place value system.
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.A.3Read, write, and compare decimals to thousandths.
5.NBT.A.3.aRead and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
5.NBT.A.3.bCompare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
5.NBT.A.4Use place value understanding to round decimals to any place.
5.NBT.BPerform operations with multi-digit whole numbers and with decimals to hundredths.
5.NBT.B.7Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; justify the reasoning used with a written explanation.
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.NF.C.6Use decimal notation for fractions with denominators 10 or 100.
For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram; represent 62/100 of a dollar as $0.62.
4.NF.C.7Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.
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).
4.MD.A.3Apply the area and perimeter formulas for rectangles in real-world and mathematical problems.
For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.
4.G.A.2Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.
3.MD.C.7.aFind the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.
Foundations for Fraction Operations
In module 4, students rename fractions greater than 1 as mixed numbers, generate equivalent fractions, compare fractions with unlike units, and add and subtract fractions and mixed numbers with like units. Students also multiply fractions and mixed numbers by whole numbers.
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.
Understanding Decimal Numbers with Place Value and Fraction Thinking
Students represent decimal numbers to thousandths by using a variety of concrete and pictorial models and name the numbers in different forms. Students describe relationships between adjacent decimal place value units as 10times as much as the next smaller unit and 1/10 as much as the next larger unit. Students compare two decimal numbers to thousandths and round decimal numbers to any place value.
Addition and Subtraction of Decimal Numbers
Students apply the methods they use to add and subtract whole numbers to add and subtract decimal numbers. By the end of the topic, they apply place value understanding and use concrete and pictorial models, recording the work in vertical form, to support the transition to the standard algorithm.
Multiplication of Decimal Numbers
Students apply the methods they use to multiply whole numbers to multiply decimal numbers to hundredths. They rely on unit form and their understanding of multiplication as equal groups to make sense of products of decimal numbers and whole numbers. Then students transition to multiplying two decimal numbers by using fraction multiplication to determine the product and make sense of its units.
Division of Decimal Numbers
Students apply the methods they use to divide whole numbers to divide decimal numbers to hundredths. With a continued emphasis on unit thinking, students rename decimal numbers in unit form, use whole-number division methods to divide, and then rename the quotient in decimal form. Students also connect dividing whole numbers by unit fractions to dividing numbers by 0.1 and 0.01.
Applications of Decimals
Students apply their understanding of decimal place value, relationships between decimals and fractions, and computation with decimals, fractions, and whole numbers to convert measurements in both the metric and customary measurement systems. They use tape diagrams to interpret and evaluate numerical expressions, and they create word problems that can be represented by a given expression or tape diagram.
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 4 TA --- page 3
Module 4 TB --- page 53
Module 4 TC --- page 83
Module 4 TD --- page 121
Module 4 TE --- page 159
VIDEO LESSONS--- Click on the link below to access Kristin Wolfgang's Eureka Math Squared Module 4 playlist. There are 9 videos you can view to help you better understand the math content.
https://youtube.com/playlist?list=PLLPliXZQuGzGa5KhIpWY_aLeKZoRTF3ee&si=00K0MTlu_HS4nftX