Lesson Plans SET A for Grades 5-6-Homework Level 5-6 Lesson 2- Patterns

Homework Level 5-6 Lesson 2- Patterns

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The homework for a Math Kangaroo class at the Level 5-6 covers a variety of pattern-based problems. Here is a breakdown of the tasks and their respective solutions:<br /><br />1. **Sequences**: <br />   - For part (a), the sequence increases by 7 each time. The 10th term is calculated by starting at 2 and adding 7 nine more times, resulting in 65.<br />   - Part (b) involves halving each term. Continuing this pattern leads to a 10th term of 6.<br />   - Part (c) alternates between 2, 0, -2, and repeats. The 10th term in this pattern is 0.<br />   - Part (d) resembles the Fibonacci sequence, where each term is the sum of the two preceding terms. The 10th term is calculated to be 55.<br />   <br />2. **Pyramid Pattern**:<br />   - The top number of the pyramid can be identified as 5, following the described pattern rules.<br /><br />3. **Triangle Pattern**:<br />   - A number triangle is presented, where each middle number equals the sum of the two numbers above it. The fifth row of the triangle reads as: 1, 5, 10, 10, 5, 1.<br /><br />4. **Triangle Sequence**:<br />   - Given a sequence of triangles, the problem asks to determine the number of smallest triangles in the next configuration. The solution is 16.<br /><br />5. **Rainfall Doubling**:<br />   - Starting with 0.001 inches on day 1 and doubling daily, more than one inch of water falls on day 11.<br /><br />Overall, these questions and solutions reinforce students' understanding of arithmetical sequences, geometric patterns, and series through practical problem-solving exercises.

Keywords

Math Kangaroo

Level 5-6

pattern-based problems

sequences

pyramid pattern

triangle pattern

triangle sequence

rainfall doubling

arithmetical sequences

problem-solving exercises