ALEX Classroom Resources

ALEX Classroom Resources  
   View Standards     Standard(s): [MA2015] (5) 5 :
5 ) Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. [5-NBT2]

[MA2019] (5) 4 :
4. Read, write, and compare decimals to thousandths.

a. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.

Example: 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

b. Compare two decimals to thousandths based on the meaning of the digits in each place, using >, =, and < to record the results of comparisons.
[MA2019] (5) 8 :
8. Add, subtract, multiply, and divide decimals to hundredths using strategies based on place value, properties of operations, and/or the relationships between addition/subtraction and multiplication/division; relate the strategy to a written method, and explain the reasoning used.

a. Use concrete models and drawings to solve problems with decimals to hundredths.

b. Solve problems in a real-world context with decimals to hundredths.
Subject: Mathematics (5), Mathematics (5)
Title: Grade 5 Mathematics Module 1, Topic D: Adding and Subtracting Decimals
URL: https://www.engageny.org/resource/grade-5-mathematics-module-1-topic-d-overview
Description:

In Module 1, Topics D through F mark a shift from the opening topics of Module 1. From this point to the conclusion of the module, students begin to use base ten understanding of adjacent units and whole-number algorithms to reason about and perform decimal fraction operationsaddition and subtraction in Topic D, multiplication in Topic E, and division in Topic F (5.NBT.7).

In Topic D, unit form provides the connection that allows students to use what they know about general methods for addition and subtraction with whole numbers to reason about decimal addition and subtraction (e.g., 7 tens + 8 tens = 15 tens = 150 is analogous to 7 tenths + 8 tenths = 15 tenths = 1.5). Place value charts and disks (both concrete and pictorial representations) and the relationship between addition and subtraction are used to provide a bridge for relating such understandings to a written method. Real-world contexts provide opportunities for students to apply their knowledge of decimal addition and subtraction as well in Topic D.



   View Standards     Standard(s): [MA2015] (5) 5 :
5 ) Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. [5-NBT2]

[MA2019] (5) 4 :
4. Read, write, and compare decimals to thousandths.

a. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.

Example: 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

b. Compare two decimals to thousandths based on the meaning of the digits in each place, using >, =, and < to record the results of comparisons.
[MA2019] (5) 8 :
8. Add, subtract, multiply, and divide decimals to hundredths using strategies based on place value, properties of operations, and/or the relationships between addition/subtraction and multiplication/division; relate the strategy to a written method, and explain the reasoning used.

a. Use concrete models and drawings to solve problems with decimals to hundredths.

b. Solve problems in a real-world context with decimals to hundredths.
Subject: Mathematics (5), Mathematics (5)
Title: Grade 5 Mathematics Module 1, Topic E: Multiplying Decimals
URL: https://www.engageny.org/resource/grade-5-mathematics-module-1-topic-e-overview
Description:

A focus on reasoning about the multiplication of a decimal fraction by a one-digit whole number in Module 1, Topic E provides the link that connects Grade 4 multiplication work and Grade 5 fluency with multi-digit multiplication. Place value understanding of whole-number multiplication coupled with an area model of the distributive property is used to help students build direct parallels between whole-number products and the products of one-digit multipliers and decimals (5.NBT.7). Once the decimal has been placed, students use an estimation-based strategy to confirm the reasonableness of the product through place value reasoning. Word problems provide a context within which students can reason about products.



   View Standards     Standard(s): [MA2019] (5) 4 :
4. Read, write, and compare decimals to thousandths.

a. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.

Example: 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

b. Compare two decimals to thousandths based on the meaning of the digits in each place, using >, =, and < to record the results of comparisons.
[MA2019] (5) 8 :
8. Add, subtract, multiply, and divide decimals to hundredths using strategies based on place value, properties of operations, and/or the relationships between addition/subtraction and multiplication/division; relate the strategy to a written method, and explain the reasoning used.

a. Use concrete models and drawings to solve problems with decimals to hundredths.

b. Solve problems in a real-world context with decimals to hundredths.
Subject: Mathematics (5)
Title: Grade 5 Mathematics Module 1, Topic F: Dividing Decimals
URL: https://www.engageny.org/resource/grade-5-mathematics-module-1-topic-f-overview
Description:

Topic F concludes Module 1 with an exploration of the division of decimal numbers by one-digit whole-number divisors using place value charts and disks. Lessons begin with easily identifiable multiples such as 4.2 ÷ 6 and move to quotients that have a remainder in the smallest unit (through the thousandths). Written methods for decimal cases are related to place value strategies, properties of operations, and familiar written methods for whole numbers (5.NBT.7). Students solidify their skills with an understanding of the algorithm before moving on to division involving two-digit divisors in Module 2. Students apply their accumulated knowledge of decimal operations to solve word problems at the close of the module.



   View Standards     Standard(s): [MA2019] (5) 3 :
3. Using models and quantitative reasoning, explain that in a multi-digit number, including decimals, a digit in any place represents ten times what it represents in the place to its right and 1/10 of what it represents in the place to its left.

a. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, using whole-number exponents to denote powers of 10.

b. Explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10, using whole-number exponents to denote powers of 10.
[MA2019] (5) 8 :
8. Add, subtract, multiply, and divide decimals to hundredths using strategies based on place value, properties of operations, and/or the relationships between addition/subtraction and multiplication/division; relate the strategy to a written method, and explain the reasoning used.

a. Use concrete models and drawings to solve problems with decimals to hundredths.

b. Solve problems in a real-world context with decimals to hundredths.
Subject: Mathematics (5)
Title: Grade 5 Mathematics Module 2, Topic C: Decimal Multi-Digit Multiplication
URL: https://www.engageny.org/resource/grade-5-mathematics-module-2-topic-c-overview
Description:

Throughout Module 2, Topic C, students make connections between what they know of whole number multiplication to its parallel role in multiplication with decimals by using place value to reason and make estimations about products (5.NBT.7). Knowledge of multiplicative patterns from Grade 4 experiences, as well as those provided in Grade 5 Module 1, provide support for converting decimal multiplication to whole number multiplication. Students reason about how products of such converted cases must be adjusted through division, giving rise to explanations about how the decimal must be placed.



   View Standards     Standard(s): [MA2019] (5) 6 :
6. Fluently multiply multi-digit whole numbers using the standard algorithm.
[MA2019] (5) 8 :
8. Add, subtract, multiply, and divide decimals to hundredths using strategies based on place value, properties of operations, and/or the relationships between addition/subtraction and multiplication/division; relate the strategy to a written method, and explain the reasoning used.

a. Use concrete models and drawings to solve problems with decimals to hundredths.

b. Solve problems in a real-world context with decimals to hundredths.
[MA2019] (5) 17 :
17. Convert among different-sized standard measurement units within a given measurement system and use these conversions in solving multi-step, real-world problems.
Subject: Mathematics (5)
Title: Grade 5 Mathematics Module 2, Topic D: Measurement Word Problems with Whole Number and Decimal Multiplication
URL: https://www.engageny.org/resource/grade-5-mathematics-module-2-topic-d-overview
Description:

In Module 2, Topic D, students explore multiplication as a method for expressing equivalent measures. For example, they multiply to convert between meters and centimeters or ounces and cups with measurements in whole number, fraction, and decimal form (5.MD.1). These conversions offer opportunities for students to not only apply their newfound knowledge of multi-digit multiplication of both whole and decimal numbers but to also reason deeply about the relationships between unit size and quantity (i.e., how the choice of one affects the other). Students are given the opportunity to review the multiplication of a whole number by a fraction, a skill taught in Grade 4.



   View Standards     Standard(s): [MA2015] (5) 5 :
5 ) Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. [5-NBT2]

[MA2019] (5) 8 :
8. Add, subtract, multiply, and divide decimals to hundredths using strategies based on place value, properties of operations, and/or the relationships between addition/subtraction and multiplication/division; relate the strategy to a written method, and explain the reasoning used.

a. Use concrete models and drawings to solve problems with decimals to hundredths.

b. Solve problems in a real-world context with decimals to hundredths.
Subject: Mathematics (5), Mathematics (5)
Title: Grade 5 Mathematics Module 2, Topic G: Partial Quotients and Multi-Digit Decimal Division
URL: https://www.engageny.org/resource/grade-5-mathematics-module-2-topic-g-overview
Description:

Module 2, Topic G uses the knowledge students have accumulated about whole number division with double-digit divisors and extends it to the division of decimals by double-digit divisors (5.NBT.7). Parallels between sharing or grouping whole number units and sharing or grouping decimal units are the emphasis of Topic G. Students quickly surmise that the concepts of division remain the same regardless of the size of the units being shared or grouped. Placement of the decimal point in quotients is based on students’ reasoning about when wholes are being shared or grouped and when the part being shared or grouped transitions into fractional parts. Students reason about remainders in a deeper way than in previous grades. Students consider cases in which remainders expressed as whole numbers appear to be equivalent; however, equivalence is disproven when such remainders are decomposed as decimal units and shared or grouped.



   View Standards     Standard(s): [MA2019] (5) 7 :
7. Use strategies based on place value, properties of operations, and/or the relationship between multiplication and division to find whole-number quotients and remainders with up to four-digit dividends and two-digit divisors. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
[MA2019] (5) 8 :
8. Add, subtract, multiply, and divide decimals to hundredths using strategies based on place value, properties of operations, and/or the relationships between addition/subtraction and multiplication/division; relate the strategy to a written method, and explain the reasoning used.

a. Use concrete models and drawings to solve problems with decimals to hundredths.

b. Solve problems in a real-world context with decimals to hundredths.
Subject: Mathematics (5)
Title: Grade 5 Mathematics Module 2, Topic H: Measurement Word Problems With Multi-Digit Division
URL: https://www.engageny.org/resource/grade-5-mathematics-module-2-topic-h-overview
Description:

In Module 2, Topic H, students apply the work of the module to solve multi-step word problems using multi-digit division (5.NBT.6). Cases include unknowns representing either the group size or the number of groups. In this topic, an emphasis on checking the reasonableness of their solutions draws on skills learned throughout the module, which includes using knowledge of place value, rounding, and estimation. Students relate calculations to reasoning about division through a variety of strategies including place value, properties of operations, equations, and area models.



   View Standards     Standard(s): [MA2019] (5) 8 :
8. Add, subtract, multiply, and divide decimals to hundredths using strategies based on place value, properties of operations, and/or the relationships between addition/subtraction and multiplication/division; relate the strategy to a written method, and explain the reasoning used.

a. Use concrete models and drawings to solve problems with decimals to hundredths.

b. Solve problems in a real-world context with decimals to hundredths.
Subject: Mathematics (5)
Title: Addition & Subtraction of Decimals StudyJam
URL: https://studyjams.scholastic.com/studyjams/jams/math/decimals-percents/add-sub-decimals.htm
Description:

In this interactive activity, students will be led through steps to add and subtract decimals to the hundredths place. There are teaching activities as well as practice activities available. A handout that reviews the steps taught during the activity can be printed. After utilizing this resource, the students can complete the short quiz to assess their understanding.



   View Standards     Standard(s): [MA2019] (5) 8 :
8. Add, subtract, multiply, and divide decimals to hundredths using strategies based on place value, properties of operations, and/or the relationships between addition/subtraction and multiplication/division; relate the strategy to a written method, and explain the reasoning used.

a. Use concrete models and drawings to solve problems with decimals to hundredths.

b. Solve problems in a real-world context with decimals to hundredths.
Subject: Mathematics (5)
Title: Multiplication of Decimals StudyJam
URL: https://studyjams.scholastic.com/studyjams/jams/math/decimals-percents/mult-of-decimals.htm
Description:

In this interactive activity, students will be led through steps to multiply decimals to the hundredths place. There are teaching activities as well as practice activities available. A handout that reviews the steps taught during the activity can be printed. After utilizing this resource, the students can complete the short quiz to assess their understanding.



   View Standards     Standard(s): [MA2019] (4) 22 :
22. Use the four operations to solve measurement word problems with distance, intervals of time, liquid volume, mass of objects, and money.

a. Solve measurement problems involving simple fractions or decimals.

b. Solve measurement problems that require expressing measurements given in a larger unit in terms of a smaller unit.

c. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.
[MA2019] (5) 8 :
8. Add, subtract, multiply, and divide decimals to hundredths using strategies based on place value, properties of operations, and/or the relationships between addition/subtraction and multiplication/division; relate the strategy to a written method, and explain the reasoning used.

a. Use concrete models and drawings to solve problems with decimals to hundredths.

b. Solve problems in a real-world context with decimals to hundredths.
Subject: Mathematics (4 - 5)
Title: Clipping Coupons
URL: https://www.econedlink.org/resources/clipping-coupons/
Description:

In this lesson, students will calculate savings for different products when using coupons. They will also decide what factors will influence the choices they make when choosing products. Students will practice adding, subtracting, multiplying, and dividing monetary amounts using decimals to the hundredths place. 



ALEX Classroom Resources: 10

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