We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately find the nth term of a sequence from picture patterns.

Slides:

Advertisements

Similar presentations

We are learning to: - Be reflective learners on previous learning outcomes. (Which PLT skills?) -Accurately solve simple linear inequalities and represent.

Advertisements

Which ones are you using?

Which ones are you using?

We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately find the gradient of a line. (Grade C) Always aim high!

We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately find the equation of a straight line. (Grade C) Always.

We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately divide amounts into given ratios. (Grade C) Always aim.

We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately add and subtract algebraic fractions. (Grade B) Always.

We are learning to: - Enhance Mathematical basic skills knowledge. (Which PLT skills?) -Accurately solve simultaneous equations where the coefficients.

We are learning to: - Enhance Mathematical basic skills knowledge. (Which PLT skills?) -Accurately draw probability trees for independent events and work.

We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately add and subtract surds. (Grade A) Always aim high! LESSON.

Which ones are you using?

We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately identify and find alternate and corresponding angles.

Which ones are you using?

Which ones are you using?

Which ones are you using?

We are learning to: - Enhance Mathematical basic skills knowledge. (Which PLT skills?) -Accurately draw probability trees for dependent events and work.

We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately draw linear graphs from a table. (Level 6) Always.

We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately calculate the area and perimeter of rectangles.

We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) - Accurately interpret different statistical diagrams. (Level.

We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately solve one and two step equations. (Levels 4-6)

We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately interpret and draw real life graphs. (Level 6)

We are learning to: - Enhance Mathematical basic skills knowledge. (Which PLT skills?) -Accurately calculate missing angles involving algebra. (Grades.

We are learning to: - Enhance Mathematical basic skills knowledge. (Which PLT skills?) -Accurately calculate the probability of independent events. (Grades.

We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately find a stratified sample from a table. (Grade A)

We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately translate shapes by a vector. (Grade C) Always aim high!

STARTER Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills TASK.

We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately graph inequalities and shade the region defined by it.

We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately order decimals. (Level 4-5) Always aim high! LESSON.

We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately solve quadratic simultaneous equations. (Grade A*) Always.

We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately use the sine function to calculate missing sides and.

We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately learn angle facts and calculate missing angles.

We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately calculate the circumference of a circle. (Grades D)

We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately change the subject of formulae where the subject appears.

We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately read and find the average speed from a distance-time.

Which ones are you using?

We are learning to: - Enhance Mathematical basic skills knowledge. (Which PLT skills?) -Accurately solve direct proportion/variation problems. (Grade A).

We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately calculate percentages of amounts without a calculator.

We are learning to: - Enhance Mathematical basic skills knowledge. (Which PLT skills?) -Accurately calculate conditional probability without tree diagrams.

We are learning to: - Enhance Mathematical basic skills knowledge. (Which PLT skills?) -Accurately draw cumulative frequency curves and box and whisker.

We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately find missing sides in right-angled triangles using.

We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately calculate ratios of amounts. (Level 6) Always aim.

We are learning to: - Enhance Mathematical basic skills knowledge. (Which PLT skills?) -Accurately solve quadratic equations by using the quadratic formula.

We are learning to: - Enhance Mathematical basic skills knowledge. (Which PLT skills?) -Accurately solve inverse proportion/variation problems. (Grade.

We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately translate objects by instruction and vectors. (Levels.

We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately find the terms of a sequence given the nth term. (Grades.

We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately finding trigonometric ratios of angles between 0°to.

We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately solve algebraic equations involving fractions. (Grades.

We are learning to: - Be reflective learners on previous learning outcomes. (Which PLT skills?) -Accurately solve one and two step equations. (Grades.

We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately multiply and divide by 10, 100 and (Level.

We are learning to: - Enhance Mathematical basic skills knowledge. (Which PLT skills?) -Accurately draw box and whisker plots. (Grade B) Always aim high!

We are learning to: - Decode key words and understand their meaning. (Which Enterprise skills?) - Assess our knowledge of previous learning. -Accurately.

We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately convert decimals to fractions. (Level 6) Always.

We are learning to: - Be reflective learners on previous learning outcomes. (Which PLT skills?) -Accurately solve equations with letters on both sides.

We are learning to: - Enhance Mathematical basic skills knowledge. (Which PLT skills?) -Accurately solve quadratic equations by completing the square.

We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately find the nth term of a number sequence. (Level 6)

We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) - Accurately calculate the volume and surface area of cuboids.

We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately identify and find alternate and corresponding angles.

Which ones are you using?

Which ones are you using?

Which ones are you using?

Creative Entrepreneur PLENARY ACTIVITY (BINGO)

Which ones are you using?

Which ones are you using?

Which ones are you using?

Finding connections between different words.

Which ones are you using?

Which ones are you using?

All pupils can accurately translate objects by instruction and vectors

Which ones are you using?

Presentation transcript:

We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately find the nth term of a sequence from picture patterns. (Grade C) Always aim high! LESSON OBJECTIVES Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? AUTHOR Where are we in our journey? Real life cross/curricular links?

BRAIN IN GEAR Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills Work out what the missing words in red are. TASK EXTENSION Develop your own Mathematical letter puzzles as above. 36 I in a Y 0 R in a M 4 D to make a PC 36 Inches in a Yard 0 Runs in a Maiden 4 Digits to make a Pin Code

STARTER Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills EXTENSION TASK Expand and simplify: 1)2) 3) 4) Factorise: 8et + 12t 5) g divided by g Find the LCM of 4 and 6 6) 49 Expand: -6(3x - 5) Find the HCF of 21 and 35 7) Write 42 as a product of prime factors = 8 and -8 = 4t(2e + 3) = -18x + 30 = g -5 = 12 = 7 = 2 x 3 x 7 x x x x x 2 = x x 2 = + 16x+ 63 (x + 7)(x + 9) + 9x

Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? Nth term from picture patterns EXAMPLES 1) 2) (a) Work out the nth term for the pattern of matches (b) How many matches will the 100 th pattern have? The diagram shows a pattern of matches building up. +3 3n+ 1 Substitute 100 into the nth term above 3 x = 301 The diagram shows a pattern of squares building up. (a) How many squares will there be in the nth pattern? (b) What is the largest pattern number you can make with 187 squares? n+ 1 Make the nth term equal to 187 and solve 2n + 1 = n = 186 ÷ 2 n = 93

Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? TASK (GRADE C) Nth term from picture patterns A pattern of squares is built up from matchsticks as shown. (a) Draw the fourth diagram. (b) How many squares are there in the nth diagram? (c) How many squares are there in the 25th diagram? (d) With 200 squares, which is the biggest diagram that could be made? 1) 2) A pattern of triangles is built up from matchsticks. (a) Draw the fifth set of triangles in this pattern. (b) How many matchsticks are needed for the nth set of triangles? (c) How many matchsticks are needed to make the 60th set of triangles? (d) If there are only 100 matchsticks, which is the largest set of triangles that could be made? 3) 4) A conference centre had tables each of which could sit six people. When put together, the tables could seat people as shown. (a) How many people could be seated at four tables? (b) How many people could be seated at n tables put together in this way? (c) At a conference, 50 people wished to use the tables in this way. How many tables would they need? Regular pentagons of side length 1 cm are joined together to make a pattern as shown. Copy this pattern and write down the perimeter of each shape. (a) What is the perimeter of patterns like this made from (i) 6 pentagons (ii) n pentagons (iii) 50 pentagons? (b) What is the largest number of pentagons that can be put together like this to have a perimeter less than 1000 cm? 4n - 3 Appropriate diagram 97 50th Appropriate diagram 2n th 18 4n cm(3n+2)cm 152cm 332

Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? EXTENSION (GRADE C) Nth term from picture patterns n Picking a large value of n gives an answer of zero on a calculator, so eventually the whole area will be covered.

Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? MINI-PLENARY Nth term from picture patterns A pattern is formed from squares. (a) Draw Pattern 4. (1 mark) (b) Find the number of squares in Pattern 6. (1 mark) n x6 - 1 = 11

DISCOVERY Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills LINK BACK TO OBJECTIVES - Accurately find the nth term of a sequence from picture patterns. What grade are we working at?

PLENARY ACTIVITY GCSE GRADE C EXAM QUESTION Consecutive patterns are put together. (a) The numbers of counters in the combined patterns form the sequence: 4, 9, 16, … How many counters will be in the next combined pattern in the sequence? (b) What type of numbers are 4, 9, 16, … ? (c) How many counters will be in the combined pattern formed by patterns 9 and 10? 25 Square numbers 10 x

Draw your brain What have you learnt? In your brain, write or draw everything you can remember about finding the nth term of a sequence from picture patterns. It can be a skill or a reflection, or something else that might be prominent in your brain. What grade are we working at? Where are we in our journey?

. How well do you understand the task? I don’t understand I nearly understand I fully understand Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? SELF ASSESSMENT Plenary Activity

SELF ASSESSMENT Plenary Activity On your post it notes… Think about how you can improve your work. On your post it notes… Think about how you can improve your work. WWW (What Went Well) EBI (Even Better If) Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using?