The ‘Why’: Why do we need to be able to add? This lesson starts with students creating a spider diagram on what they think numbers are. Encourage them to think about what you can do with numbers? Some suggestions are included which could be revealed if students are struggling and prompt thoughts in other directions. The term “Gut, data, gut” is used and is taken from a concept used in Marketing. It suggests that whenever money needs to be spent, you will have a rough idea (a gut instinct if you will) about how much something should cost. You then go seeking data to prove that and then realign this with your gut decision making. The example included is a simple scenario involving a shop. Students will have some instincts about how to do mental addition. It is still important for them to understand the different techniques. There is a prompt to encourage this in students. The final activity shows a total bill for four friends who went to lunch and ask them to check their gut feeling about how much they are being asked to pay. Activities included: What are numbers? Gut, Data, Gut example Commutative law Activity Mental Addition Techniques Associative law activity Written Method Practice Problem Solving Estimating Lunch at a café Cryptarithms

The ‘Why’: Why do we count a value of less than zero? This lesson starts by introducing the idea of a bank statement with money going and out of an account in different ways. At one point, a standing order for £100 comes out when only £99 exists in the account. It may be worth explaining what a standing order is although some will understand this implicitly. Debt is in fact the origin of negative numbers which is why the lesson starts here. It then goes on to use other real life examples including temperature and moods. Some mastery tasks are included in this from the White rose SOW including the number line and problem solving activities. Activities included: Bank Statement Starter Temperature Explanation Number Lines Activity Temperature around the world Adding & Subtracting Negative numbers Mini Whiteboard Activity Moods Walking in a line to Multiply

The ‘Why’: Why do we count in 10’s? This lesson builds on the understanding of Place value and includes a recap of this if the first place value lesson wasn’t used. When asking students, “Why do we count in tens?” the suggestions around the room are often “Because we do” or “Because that’s the system that makes sense”. Students are often surprised to learn that it is likely due to the convenience of having 10 fingers. Showing the pattern that leads to anything to the power of 1 and 0 also allows students to understand that this pattern goes on in both directions forever. Once there is a good understanding of negative powers of 10, a task framing the usefulness of this to Motorsport lap times is included as extension. There is also a short introduction to standard form which students often see on their calculators. Activities included: Pocket Money Starter The History of Number Systems Place Value Recap Counting in Tens Definition of Powers Multiplying by Powers of 10 Dividing by Powers of 10 Negative Powers Standard Form Motorsport

Topic Intro designed to introduce Year 8 students to careers and real life uses of maths plus its place in their learning journey and other skills that they will be building on.

Much of this lesson references the idea of thinking about division in terms of multiplication. As such, the lesson starts with an exercise designed to provide students with a complete set of multiplication grids. You will need to print slide 1 for students and hand them to them on the way in to lessons. The answers are on slide 2. Then follows a true or false exercise designed to refresher students understanding of division. Do this using thumbs up or thumbs down across the room (They can always do in the middle if they aren’t sure). The next activity gets students to think of division in terms of worded sentences e.g. How many 5’s are there in 15? followed by a look at fact families. This is to get students to remember and understand the inverse relationship between multiplication and division. Similar to the other arithmetic lessons, there are then mental and written methods of division. The mental methods of division are a series of divisibility tests and what to look for to see if a number will divide to give an integer answer. Provide students with a copy of the green grid on slide 7 and fill in the rules as they go along. It’s fun to do the number sort activities at the board with some board pens. When they have all the rules, they should attempt to complete the orange grid on slide 13. Bonus points for any students who can recognize that all the divisions can be completed but some will give a decimal answer. To lead in to the written division techniques, first is a reminder of some of the literacy such as dividend, quotient and divisor and a visual demonstration of how division works as a method of grouping. There is then an “I do, you do” section to teach bus stop method. Most students should have seen this before. There is then a differentiated challenge. Students should challenge themselves to get as far as they can. The next section is about dividing decimals including giving decimal answers, dividing a decimal by an integer and giving recurring decimal answers and some practice on these skills. A trickier extension is to ask students to explain how to divide by a decimal. This slide includes a visual explanation of why it works and some practice. Lastly, there is some problem solving questions and a division dot to dot. Students will need a copy of slide 28 and 29. Students should start at an underlined question. They then need to join the question number to it’s answer. The answer then becomes the next question number until they reach a dead end. They should then start at the next underlined number. Activities included: Timetable grid starter Division True or False Division as a sentence Mental Divisibility tests Division Literacy Written division explanation & practice Mixed decimal division Dividing by a decimal Problem Solving Division Dot to Dot

Topic Intro designed to introduce Year 8 students to careers and real life uses of maths plus its place in their learning journey and other skills that they will be building on.

Topic Intro designed to introduce Year 8 students to careers and real life uses of maths plus its place in their learning journey and other skills that they will be building on.

Topic Intro designed to introduce Year 8 students to careers and real life uses of maths plus its place in their learning journey and other skills that they will be building on.

Topic Intro designed to introduce Year 8 students to careers and real life uses of maths plus its place in their learning journey and other skills that they will be building on.

Topic Intro designed to introduce Year 8 students to careers and real life uses of maths plus its place in their learning journey and other skills that they will be building on.

Topic Intro designed to introduce Year 8 students to careers and real life uses of maths plus its place in their learning journey and other skills that they will be building on.

Topic Intro designed to introduce Year 8 students to careers and real life uses of maths plus its place in their learning journey and other skills that they will be building on.

Topic Intro designed to introduce Year 8 students to careers and real life uses of maths plus its place in their learning journey and other skills that they will be building on.

Topic Intro designed to introduce Year 8 students to careers and real life uses of maths plus its place in their learning journey and other skills that they will be building on.

Topic Intro designed to introduce Year 8 students to careers and real life uses of maths plus its place in their learning journey and other skills that they will be building on.

Topic Intro designed to introduce Year 8 students to careers and real life uses of maths plus its place in their learning journey and other skills that they will be building on.

Topic Intro designed to introduce Year 8 students to careers and real life uses of maths plus its place in their learning journey and other skills that they will be building on.

Topic Intro designed to introduce Year 8 students to careers and real life uses of maths plus its place in their learning journey and other skills that they will be building on.

Topic Intro designed to introduce Year 8 students to careers and real life uses of maths plus its place in their learning journey and other skills that they will be building on.

Topic Intro designed to introduce Year 8 students to careers and real life uses of maths plus its place in their learning journey and other skills that they will be building on.