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Understanding Expressions and Formulae in Problem Solving

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This document explores various mathematical expressions and formulae through engaging problems. It features scenarios involving Harriet with her shorts and t-shirts, Florence with her sweets, and Annelot with her sandwiches. For each character, you will create expressions and solve for quantities, reinforcing concepts like ratios and simple equations. The context provided facilitates learning expressions in a relatable way, while exercises prompt students to write and understand formulae. This resource aims to enhance problem-solving skills in mathematics.

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Understanding Expressions and Formulae in Problem Solving

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  1. Writing expressions and formulae

  2. Writing expressions • Harriet has n pairs of shorts and some t shirts. • She has three times as many t shirts as shorts • What is an expression for the number of t shirts she has? • 3 x n = 3n • Harriet threw out half of her pairs of shorts • What is an expression for the number she threw out? • N 2

  3. You have d sweets • Florence Williams has 4 more than you. How many does Florence have? • You give away 3 sweets to Andrew Fursey. How many do you have left? • Megan lean has twice as many as you had at the start. How many does Megan have? • Megan shares her sweets between herself and 3 friends. How many do they each get?

  4. Annelot makes cheese, egg, ham and tomato sandwiches. S stands for the number of cheese sandwiches Anne lot makes. • Annelot makes three times as many egg sandwiches as cheese ones. How many egg ones does she make? • Annelot makes the same number of ham as cheese sandwiches. How many ham and sandwiches does she make? • Annelot makes 10 more tomato than cheese sandwiches. How many tomato sandwiches does she make • How many sandwiches does she make altogether? Write your answer as simply as possible

  5. 12 days of Xmas task

  6. Writing formulae • The area of a rectangle is found by multiplying the length by the width. We can write a formula for using A for area l for length and w width • A =lw

  7. Page 192 Exercise 11 • Write a formula for 1 a-g

  8. Create your own formula puzzle task

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