This purposeful unit for fractions, decimals and percentages includes 8 lessons, and embeds real life scenarios and the sustainable development goals (SDGs) throughout: Lesson 1 - explores how to simplify fractions and why, related to highest common factors (HCFs). Lesson 2 - focuses on how to compare fractions by using multiples to find the common denominator, and why. Lesson 3 - identifies the purpose and precision of thousandths in decimal and fraction form. Lesson 4 - illustrates the purpose of percentages and how they relate to fractions and decimals (FDP) using 100 grids. Lesson 5 - investigates the equivalence of key benchmark fractions, decimals and percentages (FDP) using 100 grids and their purpose in everyday life. Lesson 6 - focuses on how to convert fractions into percentages, and decimals by converting denominators into 100 first Lesson 7 - uncovers how to compare fractions, decimals and percentages (FDP) by converting them and mapping them on a number line. Lesson 8 - gives students the opportunity to apply their understanding of fractions, decimals and percentages (FDP) to interpret data related to the sustainable development goal of ending poverty (SDG 1). Knowledge: I know that fractions, decimals, and percentages are just different languages for the same value. I know that percent means “parts per hundred.” I know the value of digits up to three decimal places (tenths, hundredths, and thousandths). I know that multiplying or dividing the numerator and denominator by the same number keeps the fraction’s value equal. Skills: I can simplify a fraction into its smallest form by finding common factors. I can find a common denominator so I can compare two different fractions. I can convert a fraction into a percentage by scaling it to a denominator of 100. I can order a mix of fractions, decimals, and percentages on a number line. What’s Included? Your download includes everything you need for a successful series of lessons: Unit Overview Notes: Outlines the knowledge, skills, and pre-requisites for the entire unit, exploring the question ‘Can the same value look different?’ Detailed Lesson Walkthrough/Notes: Includes a step-by-step guide with guiding questions and key discussion points for each lesson. Guiding Questions: Great opportunities for AfL throughout each lesson, designed to help your students draw on their previous learning and make purposeful connections across the unit. Lesson Slides: Engaging slides to guide each of your lessons. Lesson Activities: Includes accessible, low-floor high ceiling activities for each lesson that all students can access through adaptive teaching, leading to improved confidence. There are also opportunities embedded in each lesson for further challenge to extend learners further. Exit Ticket: Purposeful closing tasks which allows students to demonstrate their understanding, skills and knowledge - a great opportunity for AfL. This download provides both the Editable PPT Version and the PDF Version.

This purposeful unit for scaling, ratio & proportion includes 5 lessons, and embeds real life scenarios throughout: Lesson 1 - explores how to keep shapes similar by enlarging or reducing by the same multiplier. Lesson 2 - focuses on how to apply scale factors to create similar shapes, both on and off coordinate grids. Lesson 3 - explores how to interpret and create scale drawings through designing blueprints for parks and client bedrooms. Lesson 4 - focuses on scaling recipes and currencies for hotel guests for consistency. Lesson 5 - focuses on using and applying ratio and proportion by scaling down the wonders of the world for a pocket museum. Knowledge: I know that similarity in geometry means shapes have identical angles and their sides are changed by the same multiplier. I know that a scale factor describes how much an object has been enlarged or reduced. I know that proportion involves two ratios that are equivalent, maintaining the same relationship regardless of scale. Skills: I can identify similar shapes by calculating the ratio between their corresponding sides. I can use a scale factor to draw an enlargement of a shape on a grid. I can apply proportional reasoning to adjust measurements. What’s Included? Your download includes everything you need for a successful series of lessons: Unit Overview Notes: Outlines the knowledge, skills, and pre-requisites for the entire unit, exploring the question ‘Can bigger ever be the same?’ Detailed Lesson Walkthrough/Notes: Includes a step-by-step guide with guiding questions and key discussion points for each lesson. Guiding Questions: Great opportunities for AfL throughout each lesson, designed to help your students draw on their previous learning and make purposeful connections across the unit. Lesson Slides: Engaging slides to guide each of your lessons. Lesson Activities: Includes accessible, low-floor high ceiling activities for each lesson that all students can access through adaptive teaching, leading to improved confidence. There are also opportunities embedded in each lesson for further challenge to extend learners further. Exit Ticket: Purposeful closing tasks which allows students to demonstrate their understanding, skills and knowledge - a great opportunity for AfL. This download provides both the Editable PPT Version and the PDF Version. Terms of Use: This product should only be used by the teacher who purchased it. This product is not to be shared with other teachers. Were these resources helpful? Please leave a rating to help improve future Mindful Maths resources.

This purposeful unit for Ratio includes 5 lessons, and embeds real life scenarios throughout: Lesson 1 - explores how mathematical relationships act as a powerful language for describing real-world patterns (multiplicative vs additive). Lesson 2 - introduces the language of ratio to describe mathematical patterns. Lesson 3 - explores the relationship between parts and wholes through comparing ratios and fractions. Lesson 4 - explores how and when to simplify ratios in detail through using common factors and real life scenarios. Lesson 5 - focuses on using and applying ratio to problem solve, and replicate a lost, ancient paint formula.I know that a ratio compares the size of one part to another part, whereas a fraction compares a part to the whole. Knowledge: I know that a ratio compares the size of one part to another part, whereas a fraction compares a part to the whole. I know that multiplicative relationships are used to find equivalent ratios. I know that the total number of “parts” in a ratio is found by adding the individual terms together (e.g., 2:3 has 5 total parts). Skills: I can use the “for every…” sentence stem to describe the relationship between two quantities. I can use a bar model to solve problems where I am given the total quantity or the value of just one part. I can simplify ratios to their lowest terms by finding common factors. What’s Included? Your download includes everything you need for a successful series of lessons: Unit Overview Notes: Outlines the knowledge, skills, and pre-requisites for the entire unit, exploring the question ‘How does the relationship between parts define the whole?’ Detailed Lesson Walkthrough/Notes: Includes a step-by-step guide with guiding questions and key discussion points for each lesson. Guiding Questions: Great opportunities for AfL throughout each lesson, designed to help your students draw on their previous learning and make purposeful connections across the unit. Lesson Slides: Engaging slides to guide each of your lessons. Lesson Activities: Includes accessible, low-floor high ceiling activities for each lesson that all students can access through adaptive teaching, leading to improved confidence. There are also opportunities embedded in each lesson for further challenge to extend learners further. Exit Tickets: Purposeful closing tasks which allows students to demonstrate their understanding, skills and knowledge - a great opportunity for AfL. This download provides both the Editable PPT Version and the PDF Version. Terms of Use: This product should only be used by the teacher who purchased it. This product is not to be shared with other teachers. Were these resources helpful? Please leave a rating to help improve future Mindful Maths resources.