Lesson Plans SET A for Grades 7-8-Lesson 3 Level 7-8 Algebraic Thinking Homework

Lesson 3 Level 7-8 Algebraic Thinking Homework

Pdf Summary

This document outlines a set of algebraic math problems intended for Level 7-8 students to practice skills from a Math Kangaroo class, specifically focusing on algebraic thinking and operations.<br /><br />1. **Consecutive Even Numbers**: The task is to find the largest number in a sequence of six consecutive even numbers, summing up to 18. The solution, given, is 8.<br /><br />2. **Equation Solving**: Students are required to solve the expression 1712 over 5 equals 13 in terms of x. The answer is simplified to x = 4.<br /><br />3. **Capacity/Volume Problem**: The problem involves comparing the capacity of bottles, glasses, and mugs to discern how many glasses equate to a mug and to find the capacity of a pitcher. It's concluded that 1.5 glasses equal a mug, and a pitcher has a 6-liter capacity.<br /><br />4. **Square with Vertex Products**: The challenge is to determine the sum of the numbers on the edges of a square where numbers are also assigned at each vertex based on the product of adjacent edges, summing up to 21. The total sum of the edge numbers is solved to be 10.<br /><br />5. **Kangaroo Jump Problem**: This problem involves comparing the jumping sequences of two kangaroos, Hop and Ping. Hop jumps 5 meters each time, while Ping increases his jump by 2 meters with each subsequent jump. The task is to ascertain after how many jumps Ping catches up with Hop, resulting in the answer of 4 jumps.<br /><br />These questions are designed to challenge students' algebraic reasoning and operational skills to encourage a deeper understanding of mathematical concepts. The answers serve as immediate feedback for self-assessment.

Keywords

algebraic problems

Level 7-8 students

Math Kangaroo

algebraic thinking

consecutive even numbers

equation solving

capacity volume problem

square vertex products

kangaroo jump problem

mathematical concepts