LO construct and solve simple linear equations Date

LO: construct and solve simple linear equations. Date 11/12/2021 Word Bank: 1. 2. 3. 4. 5. 6. Divide 360 by 4. What is 6 x 5 added to 7 x 6 ? Subtract 36 from 65. 7 x 7 = 19 + ? What are the next two numbers? 4. 6 , 4 , 3. 4 , … What number is half-way between thirteen and fifty-one? Challenge task: Calculate the perimeter of a rectangle which is 3. 3 metres long and 2. 1 metres wide. Linear Equation

LO: construct and solve simple linear equations. Date 11/12/2021 Word Bank: 1. 2. 3. 4. 5. 6. Divide 360 by 4. 90 What is 6 x 5 added to 7 x 6 ? 72 Subtract 36 from 65. 29 7 x 7 = 19 + 30 What are the next two numbers? 4. 6 , 4 , 3. 4 , 2. 8 , 2. 2 What number is half-way between thirteen and fifty-one? 32 Challenge task: Calculate the perimeter of a rectangle which is 3. 3 metres long and 2. 1 metres wide. 10. 8 m Linear Equation

LO: construct and solve simple linear equations. Date 11/12/2021 Word Bank: 1. 2. 3. 4. 5. 6. 0. 308 x 10 Find 25% of 180 Decrease £ 2500 by 1% Solve: 2(x – 3) = 2 Put a ring around the decimal which is equal to ⁷⁄₁₀. 0. 6 0. 15 0. 2 0. 7 0. 4 What temperature is twelve degrees higher than- -15°C ? Challenge task: If y = 2 x+ 3, find the value of y when x = 5 Linear Equation

LO: construct and solve simple linear equations. Date 11/12/2021 Word Bank: 1. 2. 3. 4. 5. 0. 308 x 10 3. 08 Find 25% of 180 45 Decrease £ 2500 by 1% £ 2475 Solve: 2(x – 3) = 2 x= 4 Put a ring around the decimal which is equal to ⁷⁄₁₀. 0. 6 0. 15 0. 2 0. 7 0. 4 6. What temperature is twelve degrees higher than 15°C ? -3°C Challenge task: If y = 2 x+ 3, find the value of y when x = 5 Linear Equation

Equations LO: 11/12/2021 I can : construct and solve simple linear equations. Is to: Solve one step equations Keywords Developing Linear Equation Is to: Solve equations with unknowns on both sides Emerging Construct and solve more complex equations. Secure

Equations Solving Simple Equations (using Algebra Tiles) 11/12/2021

Equations 1 x+3=6 -3 -3 x=3 What we should write 1 x Using algebra tiles 11/12/2021 1 1 = 1 1 1

Equations 2 2 x + 1 = 5 2 x = 4 x=2 -1 ÷ 2 What we should write 1 x Using algebra tiles 11/12/2021 x = -1 ÷ 2 1 1 1

Equations Try These 11/12/2021

Equations Discuss… -1 + 1 = 0 -1 1 So these two tiles cancel each out and disappear. 11/12/2021

Equations 3 3 x - 1 = 8 3 x = 9 x=3 +1 ÷ 3 What we should write -1 x Using algebra tiles 11/12/2021 x x 1 = +1 ÷ 3 1 1 1 1 1

Equations 4 2 x + 6 = 2 2 x = -4 x = -2 -6 ÷ 2 What we should write x Using algebra tiles x 11/12/2021 -1 -1 -1 1 1 1 -1 -1 -1 = -6 ÷ 2 -1 -1 1

Equations 5 4 = 2 x - 6 10 = 2 x 5=x +6 ÷ 2 What we should write 1 1 1 1 1 Using algebra tiles 11/12/2021 = x +6 ÷ 2 x 1 1 1 -1 -1 -1 1

Equations 6 3 + 4 x = 7 4 x = 4 x=1 -3 ÷ 4 What we should write 1 Using algebra tiles 1 11/12/2021 1 x x = -3 ÷ 4 1 1 1 1

Equations 11/12/2021

Equations 11/12/2021

Equations Discuss… -x + x = 0 -x x So these two tiles also cancel each out and disappear. 11/12/2021

Equations 7 -2 = 4 – 3 x 3 x - 2 = 4 3 x = 6 x=2 +3 x +2 ÷ 3 What we should write x Using algebra tiles 11/12/2021 x x -1 1 = +3 x +2 ÷ 3 1 1 1 -x -x -x x

Equations 8 5 x = 2 x - 9 3 x = -9 x = -3 -2 x ÷ 3 What we should write x x Using algebra tiles 11/12/2021 x x x = x x -2 x ÷ 3 -1 -1 -1

Equations 9 5 x + 7 = 4 x x+7=0 x = -7 -4 x -7 What we should write -1 x x x -1 1 1 x-1 1 1 -1 Using algebra tiles 11/12/2021 = -4 x -7 -1 -1 -1 x x

Equations 5 x + 5 = 3 x + 3 2 x + 5 = 3 2 x = -2 x = -1 10 -3 x -5 ÷ 2 What we should write x Using algebra tiles x x x 11/12/2021 -3 x -5 ÷ 2 -1 1 x-1 1 -1 x = x x 1 -1

Equations 11/12/2021

Equations 11/12/2021