Fri – Mar 30th – How to turn a test score (or any other fraction) into a percentage

LEARNING OBJECTIVE: Discover methods and practice turning fractions into percentages

SUCCESS CRITERIA: You will be able to turn test scores and other 'out of' type fractions into a percentage

ENGAGEMENT ACTIVITY: watch this video

LESSON: Check more 'easy' fractions to percentages on IWB. Students to try and finish test scores work from yesterdays lesson.

After Lunch, Look at ways of converting difficult fractions using a calculator into percentages.

First convert these decimals into percentages

1. 0.34
   
2. 0.27
   
3. 0.6
   
4. 0.07
   
5. 0.125
   
6. 0.5625
   
7. 0.567345
   
8. 0.785645
   

Demonstrate how to convert difficult fractions into decimals by thinking of a fraction as decimal sum (or using fractions button) and using the decimal answer off the calculator.

PLENARY: Checking Answers / Student Confidence

Weds Mar 28th – Writing test scores as percentages, comparing two test results using percentages

LEARNIGN OBJECTIVE: To discover how to write a mark in attest as a percentage and then use this to compare results between tests.

SUCCESS CRITERIA: You will be able to turn a score in a test into a percentage.

STARTER: Matching pairs game (hard percentages and fractions)

LESSON: Use lots of easy test scores to show percentages

Question

Here is an extract from a teachers mark book. It shows the results of four tests for the 8 students, but the percentage columsn have not yet been filled in. ON your copy of this extract can you fill in the percentages (Izzy this is WITHOUT a CALCULATOR?)

Name	Test 1 (out of 25)	Test 1 %	Test 2 (out of 40)	Test 2 %	Test 3 (out of 75)	Out of 75
John	12		36		60
Jamie	16		32		30
Fred	13		24		45
Margaret	21		38		72
Jessica	22		12		54
Charmane	17		14		33
Tyler	1		15		25
Trixie	3		29		17

 
 

PLENARY: Check Answers

Remind students how to turn a fraction into a decimal using their calculators fraction buttons

Now have a go at this extract of the teachers markbook

Name	Test 1 (out of 30)	Test 1 %	Test 2 (out of 45)	Test 2 %	Test 3 (out of 110)	Out of 75
John	27		36		105
Jamie	29		44		95
Fred	13		31		81
Margaret	16		25		72
Jessica	5		12		54
Charmane	4		14		33
Tyler	9		15		25
Trixie	13		4		17

 
 

PLENARY: Check Answers

EXTENSION: For each student write down which test they did the best in for each set of results. You could use a highlighter just to show the best test results for each student

PLENARY: Five Finger Feedback

Fr Mar 23rd – Percentages, Decimals and Fractions

LEARNING OBJECTIVE: TO discover the relationship between percentages and decimals

SUCCESS CRITERIA: You will be able to write a decimal as a percentage and a percentage as a decimal.

ENGAGEMENT ACTIVITY:
Percentages and Decimals, Fractions and Decimals

LESSON: Part 1 Converting a Percentage into a decimal

Convert these Percentages into decimals

1. 15%
   
2. 23%
   
3. 89%
   
4. 76%
   
5. 9%
   
6. 3%
   
7. 1%
   
8. ½ %
   
9. 52 ½%
   
10. 12½ %
    
11. 33¼ %
    

Show how to convert a decimal into a percentage

Convert these decimals into percentages

1. 0.37
   
2. 0.78
   
3. 0.45
   
4. 0.8
   
5. 0.5
   
6. 0.145
   
7. 0.875
   
8. 0.005
   
9. 0.1325
   
10. 0.725
    

Using a calculator to turn difficult fractions into decimals and percentages

Lots of examples on IWB

Answer questions on work sheet – page 3 in this text book

PLENARY: Put answers on IWB for students to check their own. Check understanding from students

Thurs 22nd Mar – More work on Converting Fractions to percentages and percentages to fractions

LEARNING OBJECTIVE: You will discover how to convert Fractions into percentages and percentages into fractions

SUCCESSS CRITERIA: You will be able to convert any percentage into a fraction in its simplest terms and be able to convert some fractions into percentages

ENGAGEMENT ACTIVITY: Tarsia Domino on each table

LESSON: reminder on how to turn a percentage into a Fraction. Lots of examples with some covering fractions and some that do not turn into 100 very easily.

Finish off question 2.

PLENARY: Answers to q2

Show how to turn a fraction into a percentage by first turning the fraction into an 'out of 100' fraction.

Lots of examples on IWB, then have a go at q3 on worksheet.

PLENARY: Checking Answers

Weds 21st Mar – Converting Fractions to Percentages and Percentages to Fractions

LEARNING OBJECTIVE: You will discover how to convert Fractions into percentages and percentages into fractions

SUCCESSS CRITERIA: You will be able to convert any percentage into a fraction in its simplest terms and be able to convert some fractions into percentages

ENGAGEMENT ACTIVITY: E Chalk Matching fractions percentage game

LESSON: Play equivalent Fractions matching game from e-chalk. Remind Students how to cancel a fraction into its simplest form. Do lots of examples on IWB.

Students to have a go at Question 1 on sheet

Look at how to convert 1 percentage into a fraction and then cancle it to its simplest form

Have a go at Question 2

Show how to find an equivalent fraction out of 100 to easily convert a fraction into a percentage

Have a go at Question 3 on worksheet

EXTENSION: Q 5 onwards on page 143

PLENARY: Checking Answers, student feedback

Fri 16th Mar – More work on Sharing an amount in a given ratio

LEARNING OBJECTIVE: To practice splitting various amounts into given ratios

SUCCESS CRITERIA: You will be able to share any amount into any given ratio

ENGAGEMENT ACTIVITY:

Watch This Video

LESSON: Continue working through Ex 12D on page 149, The have a go at These questions

Extension Questions

PLENARY: Checking Answers, feedback from students from examples on IWB

Wednesday 21st March – Integrating Sine and Cosine Functions, then look at other trig functions

LEARNING OBJECTIVE: To discover / review how to integrate simple functions involving sine and cosine, then further trig functions

SUCCESS CRITERIA: You will be able integrate simple sine and cosine functions and other trig functions

LESSON: Work through Sine and Cosine lesson, using question screens to practice problem solving. If time move onto Trig Functions lesson in a smiliar manner

HOMEWORK: MyMaths homeworks on Sine and Cosine and Trig Functions

Thurs Mar 15th – Dividing an amount by a given ratio

LEARNING OBJECTIVE: Develop methods for splitting an amount in a given ratio

SUCCESS CRITERIA: You will be able to divide a given amount into parts given a ratio

ENGAGEMENT ACTIVITY: Screen 4 from this lesson

To make jam, Josh uses strawberries to preserving sugar in the ratio 3 cups : 1 cup.

• How many cups of each will he need to make 20 cups of jam altogether?
  
• If he has 12 cups of strawberries, how many cups of sugar will he need?
  
• If he has 2 cups of sugar, how many cups of strawberries will he need?
  

LESSON: Us above to develop processes for solving ratio problems (screens 1 to 3 if revision of ratios is needed, repeat question screen s multiple times if needed)

Two powerpoints on page 148 of Year 7 text book for worked examples.

Have a go at Ex 12D on page 149 of text book

EXTENSION: Extension work on page 149

 

Weds 14th Mar – Bearings and Trigonometry

LEARNING OBJECTIVE: To use trigonometry ratios to Solve Bearings problems.

SUCCESS CRITERIA: You will be able to use your knowledge of trig ratios to solve a variety of bearings problems

ENGAGEMENT ACTIVITY: Can you find a solution to this problem by drawing it accurately and measuring.

A ship sails 80km on a bearing of 073°, it then changes direction and sails for 240km on a bearing of 165°.

How far south has it travelled from its starting point?

How far east has it travelled from its starting point?

LESSON: Go over above question step by step to show what needs to be measured (or calculated) to solve the problem.

Students to have a go at questions in Ex 12N in Higher Text book.

EXTENSION: Exam questions from end of chapter

PLENARY: Checking Answers, Exam Pro questions if time. Summary of Trig Ratios

Tues 13th March – Angles of depression and elevation

LEARNING OBJECTIVE: To Establish how to use trigonometry rules when a question uses angles of depression or elevation

SUCCESS CRITERIA: You will be able to use trigonometry to solve angles of elevation and depression questions

GOLDEN RULE: DRAW A DIAGRAM

STARTER: Can you use trigonometry to work out the height of the lighthouse and the tree in these questions (screen 5 from this lesson)

Mon 12th Mar – Solving quadratic Equations by Factorising

LEARNING OBJECTIVE: How to spot the factors in a quadratic equation and then use these to solve it.

SUCCESS CRITERIA: You will be able to factorise a quadratic equation and then work out the solutions.

ENGAGEMENT ACTIVITY:

Expand the following:

1. (x + 2) (x + 4)
   
2. (x - 2) (x + 5)
   
3. (2x +3) (x – 2)
   
4. (3x – 4)( 5 – 2x)
   
5. (3x + 5)²
   

LESSON: Using the answers to the above explain the process of factorising: Then have ago at factorising and then solving these equations:

1. x² + 8x + 16 = 0
   
2. x² + 6x + 9 = 0
   
3. x² - 16x + 64 = 0
   
4. x² + 11x + 30 = 0
   
5. x² + x – 12 = 0
   
6. x² -5x - 24 = 0
   
7. 2x² + 8x + 6 = 0
   
8. 6x² + 19x + 10 = 0
   
9. x² + 6x + 9 = 0
   
10. 8x² -3x -10 = 0
    

Check Answers

Then have a go at question 14 onwards in second exercise on worksheet

PLENARY: Checking Answers and understanding, Exam question if time

Fri Mar 9th – Ratio – Simplest Form

LEARNING OBJECTIVE: Practice writing Ratios in their simplest forms

SUCCES CRITERIA: You Will Be able to write a ratio in its simplest form

LESSON: Quick reminder on Ra5ios simplest form and some examples of working out simplest form and equivalent ratio type questions

Work through This Worksheet

Then have a go at Q 1, 2 3 & 4 on page 147

EXTENSION: Extension Work on page 146

PLENARY: checking Answers, feedback from students: Gear Ratios Video (need 8 mins)

Thurs 9th Mar – More Work on Ration Including Currency Conversions

LEARNING OBJECTIVE: Use Simplifying Ratios to solve problems including currency problems

SUCCESS CRITERIA: You will be able to Solve Ratio Problems including currency conversions

ENGAGEMENT ACTIVITY: Play Jackpot ratios

Work through some Currency Conversion questions on the IWB with students. Use ratio concepts to solve the problems

Eg there are $1.25 to £1. How many dollars will i get if:

1. I have £120
   
2. I have £300
   
3. I have £1300
   

How many pounds will I get if I have $300.

How many pounds will I get if I have $1000

Give students some questions to work thorugh on IWB. Check Answers

 

Work through rest of Ex 12B on page 145 of Text Book  

 

EXTENSION: Currency Conversion Questions

 

PLENARY: Checking answers, Five Finger Feedback

Weds Mar 7th – ratios and how to simplify them

LEARNING OBJECTIVE: What is a ratio, How do I simplify it    

SUCCESS CRITERIA: You will understand what is meant by a ratio and know how to simplify a ratio

ENGAGEMENT ACTIVITY: Watch this intro to ratio video

Work through this lesson – lots of student interaction, them using IWB to solve problems.

If time Start Ex 12B on page 145 of Text Book  

PLENARY: Play Jackpot ratios

Thurs 1st Mar / Fri 2nd Mar – Review / analysis of unit 3 test

LEARNING OBJECTIVE: To analyse test results and discover which topics need further work

SUCCESS CRITERIA: You will become aware of which unit 3 topics you are weak at and which you need to do some revision on.

STARTER: Hand out test results (LIAM to sit test)

LESSON: Get students to put their results on anaylsis sheet. Check my adding up and then look at which topics they did not get full marks on.

Work through all tests questions on IWB giving students a chance to ask questions, explain answers...

PLENARY: Get students to write on analysis sheets TWO topics to do further Mymaths work on.