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## 10CM1 Lessons & Blog

### Data Presentation & Interpretation

Lesson Objectives This Week and Last Week:

To be able to recognise, construct and use:

• Frequency polygons
• Line charts
• Pictograms
• Bar charts
• Pie charts
• Scattergraphs
• Histograms
• Cumulative frequency graphs
• Stem leaf diagrams
• Box whisker plots

To be able to estimate the mean for grouped data.

Home Support: TheMathsTeacher.com

FD2 Stem Leaf Plots

HD2 Estimating the Mean

### Linear Equation Problem Solving

Lesson Objective:

To be able to interpret problems to form and solve appropriate linear equations.

### Basic Algebra

Lesson Objectives: (Tuesday and Wednesday)

To be able to:

• Expand expressions such as 4(2x + 3)
• Expand and simplify expressions such as 3(x+2)-2(x-3)
• Expand expressions such as (2x + 3)(x - 7)
• Factorise expressions such as 3pq + 6pqr +9qr

Home Support: TheMathsTeacher FA4 and FA5

### Assessment

Friday 13 Oct Assessment

Mon 16 Oct Review of assessment

Lesson:

We will review topics on the recent Year 10 Assessment

In particular, converting recurring decimals into fractions.

### Selection From Lists

Lesson Objective:

To be able to calculate the number of ways selections can be made from lists.

### Angles of Polygons

Lesson: (Monday)

Problem solving with polygons - Exercise 3A

### Angles of Polygons

Learning Objectives:

To be able to:

• Find exterior angles of regular polygons.
• Find sum of interior angles of polygons.
• Find the missing angles in polygons.

### Angle Facts

Lesson Objectives:

To be able to state angle facts and properties of:

• Points
• Lines
• Triangles
• Polygons
• Parallel Lines

### Upper and Lower Bounds - Problem Solving

Lesson Objective:

To be able to solve upper and lower bound problems.

Exercise 9.3A Page 183 even number questions

### Upper and Lower Bounds / Rounding & Estimating

Lesson Objectives:

To be able to:

• Round to decimal places and significant figures.
• Use 1 sig fig approximations to simplify expressions and calculate estimates.
• Identify upper and lower bounds for quantities given to specified accuracy.
• calculate upper and lower bounds for compound quantities such as speed.

### Percentages - Problem Solving

Lesson Objective:

To be able to solve problems based on percentages.

Half of class on Science trip. Remainder to work on Exercise 12.3A

### Advanced Use of Percentages

Lesson Objective:

To be able to solve reverse percentage problems.

Home Support: themathsteacher - HN2 Advanced Use of Percentages

### Introduction to Percentages

Lesson Objectives:

To be able to:

• Find a percentage of a quantity with and without a calculator.
• Increase / decrease a quantity by a given percentage.
• Express one quantity as a percentage of another.

Home Support:

themathsteacher.com FN5 - Basic use of percentages

### Introduction to Household Finance Terms

Lesson Objectives:

To be able to:

• Recognise the terms tax allowance and tax rates
• Perform basic tax calculations
• Recognise how utility bills are calculated

### Recurring Decimals and Equivalent Fractions

Lesson Objectives:

To be able to:

• Convert between equivalent fractions, percentages and decimals.
• Convert fractions into decimals by a process of division.
• Convert terminating decimals into equivalent fractions.
• Convert recurring decimals into equivalent fractions.

### Mixed Number Arithmetic

Lesson Objectives:     (from Friday 15 September)

To be able to add, subtract, multiply and divide mixed numbers.

Home Support: themathsteacher.com

FN4 Mixed number addition and subtraction.

HN4 Mixed number multiplication and division.

### HCF, LCM and Primes

Lesson Objective:

To be able to solve problems based on HCFs, LCMs and prime numbers

### Prime Numbers - HCF and LCM

Lesson Objectives:

To be able to:

• List prime numbers up to 29.
• Write an integer in terms of its prime factors.
• Calculate the Highest Common Factor (HCF) of two numbers.
• Calculate the Lowest Common Multiple (LCM) of two numbers.

Home Support: themathsteacher - FN1 Prime Factors, HCF and LCM

### Number - Decimals

Lesson Objective:

To be able to add, subtract, multiply and divide decimal numbers without a calculator.

### Desmos Graphing Utility

It is well worth downloading the free app Desmos onto your smartphone. Once downloaded it is a stand alone graphing utility that can be used without internet access.

The software cannot be downloaded to a computer but can be run on-line at www.desmos.com

### GCSE Higher Tier Scheme of Work

Here is the GCSE Higher Tier Scheme of Work for both Year 10 and Year 11.

Though the cover page mentions 2015 and 2016, the scheme is up to date for 2017.

### Number - 4 Rules of Arithmetic

Lesson Objectives:

To be able to apply the 4 rules of arithmetic to:

• Integers - positive and negative.
• Decimals.

### Year 10 Parents' Evening

Year 10 Parents' Evening will be on Thursday 7 December 2017.

### Welcome to Year 10 GCSE Maths

This web page will record the work for students of 10CM1 throughout 2017/18.

## 10CM1 HOMEWORK

### Basic Number Skills

Please complete without using a calculator and hand in on Monday 18 September.

Show all your working in your exercise books.

1.     238.6 +23.86 + 2.386

2.     83.4 - 17.77

3.     23.6 x 5.8

4.    1.78 x 2.39

5.     422.28 / 2.7

6.     271.512 / 0.36

7.     Write 84 as a product of prime factors

8.     Write 108 as a product of prime factors

9.     Find the HCF of 84 and 108

10.   Find the LCM of 84 and 108

### Mental Arithmetic Skills

For Friday please complete each type of exercise from the following. Print out your results and stick in your exercise books.

Mental Arithmetic

Negative Numbers

Rounding

### Becoming An Effective Learner

Professor Stephen Chew is a cognitive psychologist from Samford University, Birmingham, Alabama. In 2011, he recorded five short videos (each 5 - 9 minutes long) to help students become more effective learners. They contain a whole range of dos and don'ts together with practical suggestions you can adopt to improve your learning. Below are direct links to each video. As an alternative you can log on to Youtube and type in 'Stephen Chew'

## 10CM1 HOMEWORK

### Basic Number Skills

Please complete without using a calculator and hand in on Monday 18 September.

Show all your working in your exercise books.

1.     238.6 +23.86 + 2.386

2.     83.4 - 17.77

3.     23.6 x 5.8

4.    1.78 x 2.39

5.     422.28 / 2.7

6.     271.512 / 0.36

7.     Write 84 as a product of prime factors

8.     Write 108 as a product of prime factors

9.     Find the HCF of 84 and 108

10.   Find the LCM of 84 and 108

### Mental Arithmetic Skills

For Friday please complete each type of exercise from the following. Print out your results and stick in your exercise books.

Mental Arithmetic

Negative Numbers

Rounding

### Becoming An Effective Learner

Professor Stephen Chew is a cognitive psychologist from Samford University, Birmingham, Alabama. In 2011, he recorded five short videos (each 5 - 9 minutes long) to help students become more effective learners. They contain a whole range of dos and don'ts together with practical suggestions you can adopt to improve your learning. Below are direct links to each video. As an alternative you can log on to Youtube and type in 'Stephen Chew'