Year 7 Maths Lesson 8: Algebra Race Track

Race Track
Problem Questions

Year 8 Maths Lesson 9: Indices

Workbook, Puzzle sheet

Year 8 Maths Lesson 8: Expanding

Learning Objectives:
More intro to algebra concepts

Introduction:
Allow students to play with the blocks-
Who can come up with the most creative design?
Introduce problem:

Talk through the questions- When you get up to the picture part, give them subtle hints... "What does squared sound like?"

Resources:
Double Staircase worksheet
Coloured blocks
Puzzle sheet
Heinemann Maths 8

Extension Work:
Puzzle sheet

Supplementary Work:

Timing:
Playing with blocks (5 min)
Intro to worksheet (5 min)
Worksheet (15 min)
Discussion (5-10 min)
Expansion examples on board:
5(x - 2)
2a(a + 3b)
2x²y(x⁵ - 3xy³)
5(a + 6b) - 3a(3 - 10a) - 3b
Steps:
1) Expand brackets
2) Group like terms
3) Simplify
Workbook 4.10 (20 min)
1) 2) 3) 4) 6) 8) 9)
Puzzle Sheet (the rest)

Behavioural Management:
Don't be afraid to shift students!!

Homework:
Collect homework sheets
Remind about mathletics

Year 7 Maths Lesson 7: Substitution (recap)

Learning Objectives:
Substitution (Recap)

Introduction:
What do pronumerals represent?
Please note in your books:
If a = 10, what does 3a = ?

3a
= 3 x a
= 3 x 10

Convention:
We write 5 lots of x as:
5x

We write 3 x (x + 1) as:
3(x + 1)

4ab is the way we write 4 x a x b

If a = 2 and b = 3, what does 4ab = ?

4ab
= 4 x a x b
= 4 x 2 x 3
= 8 x 3
= 24

If T = 4a - 2, what does T = ?

Resources:
Substitution chart(s)
Workbook
Puzzle sheet

Extension Work:
Puzzle sheet

Timing:
Collect homework
For those that missed yesterday's lesson:
Intro: (5 min)
Substitution chart (15 min)
Correct chart (5-10 min)
Workbook 6.3 (15 min)
Correct workbook (5-10 min)
Puzzle sheet (the rest)
For those that attended yesterday's lesson:
More advanced substitution chart (10 min)
Mathletics (the rest)

Behavioural Management:
Have an idea of who we didn't have yesterday that may have caused the disruptions, should they have attended...
Perhaps speak to M- about calling out.
Keep an eye on S-.

Homework:
Remind them about mathletics.
Collect homework

Year 7 Maths Lesson 6: Substitution

Learning Objectives:
Substitution

Introduction:
What do pronumerals represent?
Please note in your books:
If a = 10, what does 3a = ?

3a
= 3 x a
= 3 x 10

Convention:
We write 5 lots of x as:
5x

We write 3 x (x + 1) as:
3(x + 1)

4ab is the way we write 4 x a x b

If a = 2 and b = 3, what does 4ab = ?

4ab
= 4 x a x b
= 4 x 2 x 3
= 8 x 3
= 24

Resources:
Substitution chart
Workbook
Puzzle sheet

Extension Work:
Puzzle sheet

Timing:
Intro: (5 min)
Substitution chart (15 min)
Correct chart (5-10 min)
Workbook 6.3 (15 min)
Correct workbook (5-10 min)
Puzzle sheet (the rest)

Behavioural Management:
Perhaps speak to M- about calling out.
Keep an eye on S-.

Homework:
Remind them about homework due tomorrow (maths sheet) plus mathletics.

Year 7 Maths Lesson 5: Algebra concepts continued

Learning Objectives:

More intro to algebra concepts

Introduction:

Resources:

Extension Work:

Supplementary Work:

Timing:

Behavioural Management:

Scaffolding:

Homework:

Year 8 Maths Lesson 7: Addition and Subtraction in Algebra

Learning Objectives:
Substitution involving powers

Resources:
Heinemann 8
WS C4-9 - Mixed simplification
HW Worksheet

Extension Work:

Supplementary Work:

Timing:
Intro (5 min)
Reminder of simplifying:
7f + 8fg - 4f - 6fg
= 7f - 4f + 8fg - 6fg
= 3f + 2fg
5x + 2y - 3xy + 2x
= 5x + 2x + 2y - 3xy
= 7x + 2y - 3xy
1) Identify the pronumeral part of each term
2) simplify like terms
Workbook: 4.7 pg. 158 (15 min)
6, (+9 for fast workers)
Discussion (10 min)
a = 4, b = 10
1) 9a^3
2) 5a^2 - b^3/100 - 5
Workbook: 4.6 pg. 155 (the rest)
1, LHS + RHS
3, 4, 5, 6, 8, 9

Behavioural Management:
Don't be afraid to raise your voice and SHIFT people.
Keep an eye on H-, C-, and the girls

Scaffolding:

Homework:
Worksheet

Year 8 Maths Lesson 6: Addition of pronumerals

Learning Objectives:
Reinforce addition of pronumerals

Introduction:
On board: Answers to comp, plus instructions:
1. Swap paper with someone else
2. Correct with a different coloured pen
3. Write a mark out of 25 on the front
Reminder of how the charts work

Resources:
Algebra Charts Revisited
Puzzle worksheet

Timing:
Correct Competition Papers (5-10 min)
Intro + Algebra charts worksheet (10-15 min)
Correct the Algebra charts sheet (5 min)
--leave on board
Puzzle sheet (the rest)

Behavioural Management:
Shift C- or H- if they misbehave.
Talk to Harry about specific incidents if things continue

Homework:
Mathletics

Year 7 Maths Lesson 4: Algebra terminology

Learning Objectives:
Algebra terminology:
-terms, expressions, equations, coefficients, variables, constants

Introduction:
PPT presentation - slides 1-5
Make sure they write the note you write on the board in their note books

Notes:
Algebra is the language of mathematics

"Sum" means add
"Difference" means subtract
"Product" means multiply

The sum of m and n:
m + n
The product of p and q:
p*q
=pq
5 less than k:
k - 5
Seven lots of W:
7*W
=7W

The following definitions to include examples:
VARIABLE or PRONUMERAL:
A letter used to represent an unknown number
EXPRESSION: A statement using variables, and operation signs
EQUATION: An expression containing an equals sign
TERMS: The parts of an expression/equation that are separated by a "+" or "-"
CONSTANT: A term that is only a number
COEFFICIENT: The number infront of a variable

Resources:
Heinemann 8
Algebra terminology ppt
Practice make Perfect

Extension Work:
6.3

Timing:
Intro (15 min)
Workbook Questions 6.6 (20 min)
1) 2) 3) 4) 5)
Correct 1-3 (5 min)
Practice makes perfect Worksheet

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:
Mathletics

Year 8 Maths Lesson 5: Algebra Charts continued + Puzzle sheet

Learning Objectives:
Reinforce addition of pronumerals

Introduction:
Reminder of how the charts work

Resources:
Algebra Charts Revisited
Puzzle worksheet

Timing:
Correct Competition Papers (5-10 min)
Intro + Algebra charts worksheet (10-15 min)
Puzzle sheet (the rest)

Behavioural Management:
Shift C- or H- if they misbehave.

Homework:
-

Year 7 Maths Lesson 3: Formula catch-up

Learning Objectives:
Catch-up on formulae

Introduction:
Correct Maths Comp. HW

Resources:
Worksheet
Puzzle sheet
Maths Comp. Solutions

Extension Work:
Puzzle Sheet

Timing:
Correct Maths Comp. and answer questions (15-20 min)
---Hand out people’s papers at random and instruct students on how to correct them
---( /25, etc)
Worksheet (25 min)
Puzzle sheet (the rest)

Behavioural Management:
Check S-'s progress
Remind F- of how to be respectful

Scaffolding:
Order of Operations

Homework:

Year 8 Maths Lesson 4: Algebra Charts

Use the following worksheet to conduct the class:

Algebra Charts

Use the Maths 300 software, Algebra Charts, to obtain the top scores from the students.

If students complete this, and the extension, direct them to bit.ly/algebraquiz. They won't understand all the work, but they'll have fun trying to find which questions they can answer.

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