Lesson Plans SET B for Grades 3-4-Homework Level 3-4 Lesson 2- Patterns

Homework Level 3-4 Lesson 2- Patterns

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This homework assignment from a Math Kangaroo class focuses on pattern recognition and problem-solving for Level 3-4 students. Here’s a brief overview of each problem and its solution:<br /><br />1. **Problem-Solving with Increasing Sequences**: Kelly prepares for a test over four days by solving math problems. She starts with one and each day thereafter solves two more than twice the number she solved the previous day. By calculating according to this pattern, she solves a total of 37 problems over the four days.<br /><br />2. **Balancing Sums Across Rows**: Two rows of numbers are given with the objective of finding the missing number denoted as '*'. It stated that the sums of the numbers in both rows are equal. Solving this, the missing number '*' is found to be 47, thus balancing the sums of both rows.<br /><br />3. **Symbolic Number Representation**: The magical world problem involves expressing numbers using given symbols representing 1, 3, and 17. Given that the number 22 is represented by a set of symbols, the task requires finding which symbols represent the number 41. The answer involves understanding combination patterns of those given symbols for the numbers.<br /><br />4. **Relative Counting in Circular Arrangements**: Tim and Jim count chairs around a circular table in opposite directions. Details about their second and subsequent chairs provide enough data to calculate that there are 19 chairs in total.<br /><br />5. **Coloring a Cube via Pattern Matching**: The task requires identifying how a cube, painted with three colors such that each face shares an edge with a face of the same color, matches one of several given patterns. The solution confirms that Pattern B fits the requirement.<br /><br />These exercises hone the students' abilities in arithmetic sequences, pattern recognition, symbolic reasoning, and logical deduction in geometry and spatial arrangements.

Keywords

Math Kangaroo

pattern recognition

problem-solving

arithmetic sequences

symbolic reasoning

geometry

spatial arrangements

Level 3-4

circular arrangements

cube coloring