ALEX Resources

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Learning Activities (4) Building blocks of a lesson plan that include before, during, and after strategies to actively engage students in learning a concept or skill. Classroom Resources (2)


ALEX Learning Activities  
   View Standards     Standard(s): [MA2019] (5) 1 :
1. Write, explain, and evaluate simple numerical expressions involving the four operations to solve up to two-step problems. Include expressions involving parentheses, brackets, or braces, using commutative, associative, and distributive properties.
Subject: Mathematics (5)
Title: Just Follow the Order and You Will See
Description:

This activity is an interactive online tool that allows students to explore and apply the order of operations to solve and evaluate algebraic expressions.

 

This activity was created at the ALEX Resource Development Summit.




   View Standards     Standard(s): [MA2019] (5) 1 :
1. Write, explain, and evaluate simple numerical expressions involving the four operations to solve up to two-step problems. Include expressions involving parentheses, brackets, or braces, using commutative, associative, and distributive properties.
Subject: Mathematics (5)
Title: Order of Operations
Description:

This online game requires students to save seven members of a Royal Family from prison by using their order of operation skills to build stairways leading to their secret cells.

This learning activity was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.




   View Standards     Standard(s): [MA2019] (5) 1 :
1. Write, explain, and evaluate simple numerical expressions involving the four operations to solve up to two-step problems. Include expressions involving parentheses, brackets, or braces, using commutative, associative, and distributive properties.
[MA2015] (5) 2 :
2 ) Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. [5-OA2]

Examples: Express the calculation "add 8 and 7, then multiply by 2" as 2 x (8 + 7). Recognize that 3 x (18,932 + 921) is three times as large as 18,932 + 921, without having to calculate the indicated sum or product.

Subject: Mathematics (5), Mathematics (5)
Title: You Kan With Khan: Math Made Easy!
Description:

Khan Academy is an excellent free resource for differentiating instruction. Students have different learning styles and learn at different levels. With Khan Academy, students can easily and quickly learn complicated mathematical concepts through practice, videos, and examples. Each student can be assigned a different set of lessons depending on their individual level and learning needs. The teacher can decide which lessons a student will work on according to their needs and learning goals. Khan Academy appeals to varying learning styles, provides quick feedback, and allows the teacher to easily individualize instruction.




   View Standards     Standard(s): [MA2019] (3) 8 :
8. Determine and justify solutions for two-step word problems using the four operations and write an equation with a letter standing for the unknown quantity. Determine reasonableness of answers using number sense, context, mental computation, and estimation strategies including rounding.
[MA2019] (5) 1 :
1. Write, explain, and evaluate simple numerical expressions involving the four operations to solve up to two-step problems. Include expressions involving parentheses, brackets, or braces, using commutative, associative, and distributive properties.
Subject: Mathematics (3 - 5)
Title: Order of Operations
Description:

This digital tool explains the order of operations when solving a number sentence with more than one operation. This tool has a song to help students remember the order of operations. This digital tool takes the students step by step in solving a number sentence with more than one operations.  




ALEX Learning Activities: 4

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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) 1 :
1. Write, explain, and evaluate simple numerical expressions involving the four operations to solve up to two-step problems. Include expressions involving parentheses, brackets, or braces, using commutative, associative, and distributive properties.
[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.
Subject: Mathematics (5), Mathematics (5)
Title: Grade 5 Mathematics Module 2, Topic A: Mental Strategies for Multi-Digit Whole Number Multiplication
URL: https://www.engageny.org/resource/grade-5-mathematics-module-2-topic-overview
Description:

Module 2, Topic A begins a sequential study of multiplication that culminates in Topic D. In order to link prior learning from Grade 4 Module 1 and Grade 5 Module 1 and to set the stage for solidifying the standard multiplication algorithm, students begin at the concretepictorial level. They use place value disks to model multi-digit multiplication of place value units, for example, 42 × 10, 42 × 100, 42 × 1,000, leading quickly to problems such as 42 × 30, 42 × 300, and 42 × 3,000 (5.NBT.1, 5.NBT.2). Students then round factors in Lesson 2 and discuss the reasonableness of their products. Throughout Topic A, students evaluate and write simple expressions to record their calculations using the associative property and parentheses to record the relevant order of calculations (5.OA.1).



   View Standards     Standard(s): [MA2015] (5) 2 :
2 ) Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. [5-OA2]

Examples: Express the calculation "add 8 and 7, then multiply by 2" as 2 x (8 + 7). Recognize that 3 x (18,932 + 921) is three times as large as 18,932 + 921, without having to calculate the indicated sum or product.

[MA2019] (5) 1 :
1. Write, explain, and evaluate simple numerical expressions involving the four operations to solve up to two-step problems. Include expressions involving parentheses, brackets, or braces, using commutative, associative, and distributive properties.
[MA2019] (5) 6 :
6. Fluently multiply multi-digit whole numbers using the standard algorithm.
Subject: Mathematics (5), Mathematics (5)
Title: Grade 5 Mathematics Module 2, Topic B: The Standard Algorithm for Multi-Digit Whole Number Multiplication
URL: https://www.engageny.org/resource/grade-5-mathematics-module-2-topic-b-overview
Description:

In Module 2, Topic B, place value understanding moves toward understanding the distributive property by using area models to generate and record partial products (5.OA.1, 5.OA.2), which are combined within the standard algorithm (5.NBT.5). Writing and interpreting numerical expressions in Lessons 1 and 2 and comparing those expressions using visual models, lay the necessary foundation for students to make connections between the distributive property, as depicted in area models, and the partial products within the standard multiplication algorithm. The algorithm is built over a period of days, increasing in complexity as the number of digits in both factors increases. Reasoning about zeros in the multiplier, along with considerations about the reasonableness of products, also provides opportunities to deepen understanding of the standard algorithm. Although word problems provide context throughout Topic B, the final lesson offers a concentration of multi-step problems that allows students to apply this new knowledge.



ALEX Classroom Resources: 2

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