Year 7 Maths Lesson 2: Algebra - Continued

Learning Objectives:
Introduction to algebra (continued)

Introduction:
Talk on expectations:
I wasn't happy with how things went last lesson.
I expect no discussion, outside of the task at hand, but I'd prefer if you asked me any questions you have.
We didn't get enough work done, and this is a very important topic.
I expect nobody to ask a question without putting up their hand.
Formulae:
What is a formula? (A way of mathematically writing a statement or rule)

Convert into a formula:
"Multiply each IN number by 10, then add 2"
"Add 14 then divide by 2"
"Add 12 to the IN number. This equals 3 IN numbers."


Resources:
Heinemann 8
Maths Competition 7+8

Extension Work:
6.3

Supplementary Work:
Prep Zone 6

Timing:
Intro (15 min)
Correcting Workbook (10 min)
Discussion on the paper (10 min)
Workbook 6.2 pg. 258 (25 min)
1) a,c,e,g,i
2) b,c
3) 4) 7)

Behavioural Management:
Keep an eye on S-
[[
1. Arrive to class on time
2 Sit separately from Francis and Mitchell
3. Stay focussed in class
4. Listen when the teacher is speaking
5. Complete homework.
]]

Scaffolding:

Homework:
Maths Competition 7+8
etc.

Year 7 Maths Lesson 1: Algebra - Introduction

Learning Objectives:
Introduction to algebra

Introduction:
What is algebra? (Rules, operations, relations- language of mathematics)
What is a relationship? (Defining something in terms of something else- sister, mother, teacher, etc.)

Here's an example:

Use the rule: "Add 7 to each IN number to get each OUT number"

IN | OUT
3
27
10

Machine:
IN: | OUT:
2 | 4
5 | 10
13 | 26

IN: | OUT:
2 | 4
5 | 7
13 | 15

IN: | OUT:
2 | 7
5 | 16
7 | 22
3 | 10


Resources:
Heinemann 8
Maths Competition 7+8

Extension Work:
Workbook 6.2

Supplementary Work:
Prep Zone 6

Timing:
Intro (15 min)
Workbook 6.1 (25 min)
1) LHS + RHS
2), 3), 4), 5), 7)
Maths Competition 7+8

Behavioural Management:

Scaffolding:

Homework:
Maths Competition 7+8

Year 8 Maths Lesson 3: Algebra - Like Terms

Learning Objectives:
Like terms
Reinforce algebraic terms

Introduction:
What is a term?
3a is the same as a+a+a
4a is the same as a+a+a+a
Therefore: 3a + 4a is the same as a+a+a+a+a+a+a

Are these like terms?
5t and 3t
2xy and 2x
6m²n + 4nm²

Steps:
1. Identify the pronumeral part of each term.
2. Are they the same? Then they can be combined.

Resources:
Heinemann Maths 8

Extension Work:

Supplementary Work:

Timing:
Intro (10 mins)
Workbook 4.7(30 mins)
3) LHS
4) LHS
5) LHS
6) LHS
Maths Competition 7+8 (10 mins)

Behavioural Management:

Scaffolding:

Homework:
Maths Competition 7+8
Workbook 4.7
7), 8), 9)

Year 8 Maths Lesson 2: Algebra - More substitution

Learning Objectives:
Substitution
Reinforce algebraic rules

Introduction:
Correct: 4.4: 1-6

Explain:
Use of brackets for negative addition/subtraction
Negatives "cubed/squared"

b = -3, c = 5
2(c - b) (expression)

a = -3
a³

Use the rule: y=-2x - 1:

x | y
-5|
-3|
-2|

Resources:
Heinemann 8
Puzzle Worksheet

Extension Work:

Supplementary Work:

Timing:
Correcting 4.4 (10 min)
Recap (5 min)
Workbook exercises
4.4 pg. 144 (35 min)
--7), 8), 10)
Puzzle Sheet (20 min)
Workbook
4.3 pg. 145
--5) LHS + RHS
--6) RHS
--7) LHS + RHS
--8) -> 12)

Behavioural Management:
If C- is causing trouble, shift his books

Scaffolding:
Order of operations

Homework:
Mathletics, Workbook if unfinished (mention I will CHECK this time)

Year 8 Maths Lesson 1: Algebra - Negative substitution

Learning Objectives:
Substitution with negatives
Reinforce algebra terminology

Introduction:
Substitution:
What does substitution mean?
What's a substitute teacher?
Explain: Use of brackets/multiplication for setting out
b = 3, c = 18
5b - 2c + c / b (expression)

a = -5, d = 9
(15/a) - (d/3)

b = -3, c = 2
3b²c + bc² + 5

b = c + 1
5b - 2c + c / b

Steps:
1. Put in multiplication signs
2. Replace pro-numerals
3. Evaluate (Remember O.o.O.)

Use the rule: y=-2x - 1:

x | y
-5|
-3|
-2|

Resources:
Heinemann 8
Worksheets 4.5/4.6

Extension Work:
Worksheet C4.6

Supplementary Work:

Timing:
My Introduction (My expectations = Mrs. Bailie's expectations) (5 min)
Intoduction (10 min)
Worksheet 4.5 (15 min)
Workbook exercises 4.4 pg. 144 (35 min)
--1) LHS + RHS
--2) a,c,d,f
--3) -> 8)
Extension worksheet (C4.6)/Challenge problems

Behavioural Management:
-

Scaffolding:
Order of operations

Homework:
Mathletics, Worksheet if unfinished