Solve a Simpler Problem and Logical Reasoning

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Solve a Simpler ProblemandLogical Reasoning
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Essential Questions
What steps can be used to solve problems? What
strategies can be used to solve problems?
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Standards

• M6P5. Students will represent mathematics in
  multiple ways.
• a. Create and use representations to organize,
  record, and communicate mathematical ideas.
• c. Use representations to model and interpret
  physical, social and mathematical phenomena.

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ROPES

• Read the Problem
• Omit the extra information
• Plan a way to solve the problem
• Efficiently carry out your plan
• Study the results

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Example 1

• At the end of a soccer game, each player shakes
  hands with every player on the opposing team.
  How many handshakes are there at the end of a
  game between two teams that each have 20 players?

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Example 2

• Kevin, Ellie, and Jillian play three different
  sports. One person plays soccer, one likes to
  run track, and the other swims. Ellie is the
  sister of the swimmer. Kevin once went shopping
  with the swimmer and the track runner. Match
  each student with his or her sport.

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Practice

• 1. Martha has 5 pairs of pants and 4 blouses
  that she can wear to school. How many different
  outfits can she make?

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Practice

• 2. What is the smallest 5-digit number that can
  be divided by 50 with a remainder of 17?

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Practice

• 3. Karin, Brent, and Lola each ordered a
  different slice of pizza pepperoni, plain
  cheese, and ham-pineapple. Karin is allergic to
  pepperoni. Lola likes more than one topping.
  Which kind of pizza did each person order?

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Practice

• 4. Leo, Jamal, and Kara are in fourth, fifth,
  and sixth grades. Kara is not in fourth grade.
  The sixth-grader is in chorus with Kara and has
  the same lunch time as Leo. Match the students
  with their grades.

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• All problems came from
• Holt Mathematics Course 1 textbook
• Pg. 745-746