# Part 11 - Patterns

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﻿Straightforward Linear Patterns utilizing graphs and tables MTH 2-13a & MTH 3-13a Square Numbers Triangular Numbers Simple Linear Patterns www.mathsrevision.com Harder Linear Patterns Flower Bed Investigation

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3cm 5cm 4cm 2cm MTH 2-13a & MTH 3-13a Starter Questions Q1. Calculate Area and border Q2. 30% of 200 Q3. www.mathsrevision.com Q4. If a = 1 , b = 2 and c = 4 Find

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MTH 2-13a & MTH 3-13a Simple Linear Patterns utilizing outlines and tables Learning Intention Success Criteria Construct tables. We are figuring out how tables can help us to concoct formulae for Simple Linear Patterns. Discover the distinction esteem in examples. www.mathsrevision.com Using the distinction esteem to record a recipe.

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1 Table 2 Tables 3 Tables Task : Find a recipe interfacing the quantity of tables and the quantity of surfers . Straightforward Linear Patterns utilizing outlines and tables MTH 2-13a & MTH 3-13a In a web bistro 3 surfers can sit cycle a triangular table . www.mathsrevision.com

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2 4 5 1 3 6 3 9 1 Table 2 Tables 3 Tables 3 Simple Linear Patterns utilizing outlines and tables MTH 2-13a & MTH 3-13a Fill exhaust boxes Number of Tables Step 1 : Number of Surfers 12 15 www.mathsrevision.com Step 2 : Find contrast What is the equation Same distinction straight example

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Number of Tables Number of Surfers 12 15 2 4 5 3 6 9 1 3 HINT : Let the quantity of surfers be the letter S and the quantity of tables be the letter T Step 3 : Can you record recipe interfacing the quantity of surfers and the quantity of tables. Straightforward Linear Patterns utilizing graphs and tables MTH 2-13a & MTH 3-13a www.mathsrevision.com S = 3 x T S = 3T

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Simple Linear Patterns utilizing outlines and tables MTH 2-13a & MTH 3-13a Key-Points Write down the 3 principle steps 1. Make a table www.mathsrevision.com 2. Find the distinction 3. Use the distinction to compose down the equation

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Simple Linear Patterns utilizing charts and tables MTH 2-13a & MTH 3-13a Now attempt Ex 3 Ch11 (Page 135) www.mathsrevision.com

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6cm 10cm 7cm 3cm Complicated Linear Patterns utilizing charts and tables MTH 2-13a & MTH 3-13a Q1. Calculate Area and border Q2. 32% of 200 www.mathsrevision.com Q3.

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MTH 2-13a & MTH 3-13a Complicated Linear Patterns utilizing graphs and tables Learning Intention Success Criteria Construct tables. We are figuring out how tables can help us think of formulae for muddled Linear Patterns. Discover the distinction esteem in examples. www.mathsrevision.com Calculate remedy consider 4. Use the distinction esteem to record an equation connecting the table qualities.

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3 Tables 1 Table 2 Tables Task : Find a recipe associating the quantity of tables and the quantity of surfers . MTH 2-13a & MTH 3-13a A web bistro chooses to change it's table plan to. Entangled Linear Patterns utilizing outlines and tables www.mathsrevision.com

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3 Tables 1 Table 2 Tables 2 4 5 1 3 6 4 8 2 MTH 2-13a & MTH 3-13a Complicated Linear Patterns utilizing charts and tables Fill exhaust boxes Number of Tables Step 1 : Number of Surfers 10 12 www.mathsrevision.com Step 2 : Find distinction What is the equation Same contrast straight example

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Number of Tables Number of Surfers 10 12 6 4 8 2 4 5 1 3 2 S = 2 x T Part of the Formula Can you record recipe interfacing the quantity of surfers and the quantity of tables . MTH 2-13a & MTH 3-13a Complicated Linear Patterns utilizing outlines and tables www.mathsrevision.com Find a number so recipe works Step 3 : Step 4 : S = 2T + 2 Correction calculate "add on 2"

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MTH 2-13a & MTH 3-13a Complicated Linear Patterns utilizing graphs and tables Key-Points Write down the 4 primary strides 1. Make a table www.mathsrevision.com 2. Find the distinction 3. Write down a portion of equation 4. Find the remedy figure and then record the full recipe

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Complicated Linear Patterns utilizing charts and tables MTH 2-13a & MTH 3-13a Now attempt Ex 4 Ch11 (Page 137) www.mathsrevision.com

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114 o MTH 2-13a & MTH 3-13a Starter Questions 6 cm 10 cm www.mathsrevision.com Created by Mr. Lafferty @www.mathsrevision.com

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Square Numbers MTH 2-13a & MTH 3-13a Learning Intention Success Criteria To comprehend what a square number is. We are realizing what a square number is. Ascertain the initial 10 square numbers. www.mathsrevision.com Created by Mr. Lafferty @www.mathsrevision.com

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Write down the following square number MTH 2-13a & MTH 3-13a Square Numbers 1 4 9 16 4 2 1 2 2 2 3 2 www.mathsrevision.com Write down the initial 10 square numbers. 1 4 9 16 25 36 49 64 81 100 Created by Mr.Lafferty Math Dept

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Square Numbers MTH 2-13a & MTH 3-13a Now attempt Ex1 Ch11 (page 131) www.mathsrevision.com Created by Mr. Lafferty @www.mathsrevision.com

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122 o MTH 2-13a & MTH 3-13a Starter Questions 8 cm 6 cm www.mathsrevision.com Created by Mr. Lafferty @www.mathsrevision.com

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Triangular Numbers MTH 2-13a & MTH 3-13a Learning Intention Success Criteria To comprehend what a triangular number is. We are realizing what a triangular number is. Compute the initial 10 triangular numbers. www.mathsrevision.com Created by Mr. Lafferty @www.mathsrevision.com

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Which numbers are both square and triangular number Write down the following square number MTH 2-13a & MTH 3-13a Triangular and square Numbers 15 1 3 6 10 www.mathsrevision.com 2 3 4 5 Write down the initial 10 triangular numbers. 1 3 6 10 15 21 28 36 45 55 Created by Mr.Lafferty Math Dept

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Special Patterns MTH 2-13a & MTH 3-13a Now attempt Ch11 (page 133) www.mathsrevision.com Created by Mr. Lafferty @www.mathsrevision.com

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Flower Bed Investigation MTH 3-13a David is outlining a bloom bed design for the nearby garden appear. He needs to utilize customary hexagonal shapes for the quaint little inn. This is the bloom bed shape www.mathsrevision.com This is a chunk shape

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Draw this outline on the isometric dab paper gave. (Guarantee that your paper is representation) Flower Bed Investigation MTH 3-13a Here is the plan that has one blossom bed encompassed by chunks. What number of sections are required to encompass the blossom bed? www.mathsrevision.com 1 bloom bed 6 chunks

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Flower Bed Investigation MTH 3-13a Now draw two blossom beds encompassed by sections. What number of sections are required to encompass the blossom bed? www.mathsrevision.com 2 bloom bed 11 pieces

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Flower Bed Investigation MTH 3-13a what number sections are required to encompass the blossom bed? Presently draw three bloom beds encompassed by sections. 16 sections 3 bloom bed www.mathsrevision.com

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Flower Bed Investigation MTH 3-13a Task In your gathering talk about how best to record these outcomes and work out a recipe to ascertain the quantity of chunks for given number of blossom beds. www.mathsrevision.com As a gathering you are required to deliver a solitary answer for this undertaking demonstrating all working.

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Flower Bed Investigation MTH 3-13a Number Flower Beds (f) 1 2 3 4 Number of Slabs (s) 6 11 16 21 www.mathsrevision.com s = 5f + 1 126 what number hexagonal sections are required for 25 bloom beds. In the event that we had 76 accessible pieces what number of blossom beds would we be able to encompass 15

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Flower Bed Investigation MTH 3-13a Task What is the greatest number of bloom beds you could encompass on the off chance that you had 83 chunks www.mathsrevision.com 16

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Flower Bed Investigation MTH 3-13a Homework Now adjust the bloom beds vertically and explore if the recipe is still the same? www.mathsrevision.com

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Vertical Flower Bed Investigation MTH 3-13a Number Flower Beds (f) 1 2 3 4 Number of Slabs (s) 6 10 14 18 www.mathsrevision.com s = 4f + 2