Multi-Step Real-Life and Mathematical Practice Problems

Learning Resource Type

Learning Activity

Subject Area

Mathematics

Grade(s)

7

Overview

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.)

Phase

After/Explain/Elaborate
Mathematics (2019) Grade(s): 7

MA19.7.8

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.

UP:MA19.7.8

Vocabulary

  • Rational numbers
  • Integers
  • Estimation

Knowledge

Students know:
  • techniques for converting between fractions, decimals, and percents.
  • Techniques for estimation, mental computations, and how to assess the reasonableness of their answers.

Skills

Students are able to:
  • convert between different forms of a rational number.
  • Add, subtract, multiply and divide rational numbers.-translate verbal forms of problems into algebraic symbols, expressions, and equations.
  • Use estimation and mental computation techniques to assess the reasonableness of their answers.

Understanding

Students understand that:
  • One form of a number may be more advantageous than another form, based on the problem context.
  • Using estimation strategies helps to determine the reasonableness of answers.
Mathematics (2019) Grade(s): 7

MA19.7.9

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.

UP:MA19.7.9

Vocabulary

  • Algebraic expressions
  • Equations
  • Inequalities
  • Greater than
  • Greater than or equal to
  • less than
  • less than or equal to

Knowledge

Students know:
  • p(x + q) = px + pq, where p and q are specific rational numbers.
  • When multiplying or dividing both sides of an inequality by a negative number, every term must change signs and the inequality symbol reversed.
  • In the graph of an inequality, the endpoint will be a closed circle indicating the number is included in the solution set (≤ or ≥) or an open circle indicating the number is not included in the solution set ( ).

Skills

Students are able to:
  • use variables to represent quantities in a real-world or mathematical problem.
  • Construct equations (px + q = r and p(x + q) = r) to solve problems by reasoning about the quantities.
  • Construct simple inequalities (px + q > r or px + q
  • Graph the solution set of an inequality.

Understanding

Students understand that:
  • Real-world problems can be represented through algebraic expressions, equations, and inequalities.
  • Why the inequality symbol reverses when multiplying or dividing both sides of an inequality by a negative number.
Mathematics (2019) Grade(s): 7

MA19.7.17

Solve problems involving scale drawings of geometric figures, including computation of actual lengths and areas from a scale drawing and reproduction of a scale drawing at a different scale.

UP:MA19.7.17

Vocabulary

  • Scale drawing
  • Reproduction
  • Scale factor

Knowledge

Students know:
  • how to calculate actual measures such as area and perimeter from a scale drawing.
  • Scale factor impacts the length of line segments, but it does not change the angle measurements.
  • There is a proportional relationship between the corresponding sides of similar figures.
  • A proportion can be set up using the appropriate corresponding side lengths of two similar figures.
  • If a side length is unknown, a proportion can be solved to determine the measure of it.

Skills

Students are able to:
  • find missing lengths on a scale drawing.
  • Use scale factors to compute actual lengths, perimeters, and areas in scale drawings.
  • Use a scale factor to reproduce a scale drawing at a different scale.

Understanding

Students understand that:
  • scale factor can enlarge or reduce the size of a figure.
  • Scale drawings are proportional relationships.
  • Applying a scale factor less than one will shrink a figure.
  • Applying a scale factors greater than one will enlarge a figure.

Learning Objectives

Students will be able to:

    • 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.

Activity Details

Students will demonstrate their mastery of solving multi-step real-world and mathematical problems involving rational numbers (integers, signed fractions, and decimals), converting between forms as needed through interactive game-based Quizizz. The students and teacher will follow these steps:

  1. The teacher will have the students log on to https://quizizz.com/.
  2. The students will be prompted to enter the game code for the Multi-Step Real-Life and Mathematical Practice Problems. (See additional information below for alternative ways to assign the game.)
  3. The teacher will display the game code at the front of the class.
  4. The students will enter their names, which will appear on the screen at the front as they join - no student accounts are needed.
  5. Once everyone has joined, the teacher will need to press the “Start” button on the teacher device, which will then display the name of the Quizizz and a count down from 5 indicating the game is about to start.
  6. Students work as fast as they can to answer multiple-choice style questions on solving multi-step real-world and mathematical problems involving rational numbers.
  7. The progress of students as they answer questions will be displayed on the live dashboard at the front of the class.
  8. Once the game has ended, the teacher can award the winner with the kudos he/she deserves.
  9. When the final leader board is displayed, every student can see their personal feedback on their device: total points, the number of correct/incorrect questions, and the position in the class they finished in.
  10. On the teacher device, there are options to review questions, see the class accuracy, see the toughest question, the question that took the longest to answer, and interesting facts.
  11. Also on the teacher device, the teacher can choose to download the results of the quiz. This provides a spreadsheet listing each of your students, what they answered each question, and how long it took them. Correct answers are highlighted in green, and incorrect ones in red.
  12. The teacher will use the results to determine whether the students understand solving multi-step real-world and mathematical problems involving rational numbers.
  13. Press the ‘Play Again’ button to instantly play the same Quizizz again if further review is needed- your students’ devices will automatically reset to the start of the game or the teacher can search for a different Quizizz game.

Assessment Strategies

Variation Tips

Background / Preparation

The teacher will need to ensure the classroom has the following:

Classroom set of computers, iPads, or smart devices. (If allowed students can use their own personal devices.)

 

Prior to playing Quizizz, the teacher will need to:

  1. Create a Quizizz account by logging on to https://quizizz.com/.  (More information on how Quizizz works can be found at Getting Started.)
  2. Once an account has been set up, the teacher will use the Multi-Step Real-Life and Mathematical Practice Problems to decide if he/she wants to play the game live or as homework.
  3. The instructions above are for the game to be played live, so the teacher will need to host a live game in order to get a code and start the game. Share this code with your students in your class so they can join the game.
  4. The teacher can have students set up an account and the teacher and student revisit prior played Quizizz games.
  5. If the students already have a Quizizz account, they will be prompted to log in using their student information.
  6. Take the time to set up a teacher account and play the game yourself before introducing it to your students. Instructions are available on the site.
  7. NAMES - Be sure to set rules for your students when entering their names. If they join with an inappropriate nickname, you can “kick” them out.
https://quizizz.com/admin/quiz/62b8cec70fe8cc001eeaff2b?source=quiz_page

Approved Date

Owner (Author)

yvetteakridge
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