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Learning Activities (2) 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 (1)


ALEX Learning Activities  
   View Standards     Standard(s): [MA2019] REG-7 (7) 8 :
8. Solve multi-step real-world and mathematical problems involving rational numbers (integers, signed fractions and decimals), converting between forms as needed. Assess the reasonableness of answers using mental computation and estimation strategies.
[MA2019] ACC-7 (7) 9 :
9. Solve real-world and mathematical problems involving the four operations of rational numbers, including complex fractions. Apply properties of operations as strategies where applicable. [Grade 7, 5]
Subject: Mathematics (7)
Title: Multi-Step Real-Life and Mathematical Problems Lesson
Description:

In this learning activity, students will learn to solve multistep problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. The students will apply properties of operations to calculate numbers in any form; convert between forms as appropriate, and assess the reasonableness of answers using mental computation and estimation strategies. This learning activity can be used as a stand-alone activity but is best used as a During Activity, the Before and After Activities can be found in the Notes or Recommendations section.




   View Standards     Standard(s): [MA2019] REG-7 (7) 8 :
8. Solve multi-step real-world and mathematical problems involving rational numbers (integers, signed fractions and decimals), converting between forms as needed. Assess the reasonableness of answers using mental computation and estimation strategies.
[MA2019] ACC-7 (7) 9 :
9. Solve real-world and mathematical problems involving the four operations of rational numbers, including complex fractions. Apply properties of operations as strategies where applicable. [Grade 7, 5]
Subject: Mathematics (7)
Title: Multi-Step Real-Life and Mathematical Practice Problems
Description:

Students will use the Quizizz response system to review solving multi-step problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals) and to use tools strategically. This Multi-Step Real-Life and Mathematical Practice Problems Quizizz game has fifteen questions to test the understanding of solving multi-step real-life problems and is intended to be used as an after-activity. Quizizz allows the teacher to conduct student-paced formative assessments through quizzing, collaboration, peer-led discussions, and presentation of content in a fun and engaging way for students of all ages.

 

(This learning activity can be used as a stand-alone activity but is best used as an After Activity, the During and After Activities can be found in the Notes or Recommendations section.)




ALEX Learning Activities: 2

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ALEX Classroom Resources  
   View Standards     Standard(s): [MA2019] REG-7 (7) 8 :
8. Solve multi-step real-world and mathematical problems involving rational numbers (integers, signed fractions and decimals), converting between forms as needed. Assess the reasonableness of answers using mental computation and estimation strategies.
[MA2019] REG-7 (7) 9 :
9. Use variables to represent quantities in real-world or mathematical problems and construct algebraic expressions, equations, and inequalities to solve problems by reasoning about the quantities.

a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality, and interpret it in the context of the problem.
[MA2019] REG-7 (7) 21 :
21. Use facts about supplementary, complementary, vertical, and adjacent angles in multi-step problems to write and solve simple equations for an unknown angle in a figure.
Subject: Mathematics (7)
Title: Grade 7 Mathematics Module 3, Topic B: Solve Problems Using Expressions, Equations, and Inequalities
URL: https://www.engageny.org/resource/grade-7-mathematics-module-3-topic-b-overview
Description:

In Module 3, Topic B, students use linear equations and inequalities to solve problems. They continue to use bar diagrams from earlier grades where they see fit but will quickly discover that some problems would more reasonably be solved algebraically (as in the case of large numbers). Guiding students to arrive at this realization on their own develops the need for algebra. This algebraic approach builds upon work in Grade 6 with equations (6.EE.B.6, 6.EE.B.7) to now include multi-step equations and inequalities containing rational numbers (7.EE.B.3, 7.EE.B.4). Students solve problems involving consecutive numbers, total cost, age comparisons, distance/rate/time, area and perimeter, and missing angle measures. Solving equations with a variable is all about numbers, and students are challenged with the goal of finding the number that makes the equation true. When given in context, students recognize that a value exists, and it is simply their job to discover what that value is. Even the angles in each diagram have a precise value, which can be checked with a protractor to ensure students that the value they find does indeed create a true number sentence.



ALEX Classroom Resources: 1

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