year 9 maths · year 9 maths week 3 coordinate geometry monday wednesday thursday - - friday...
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YEAR 9 MATHS
WEEK 3 Coordinate Geometry
Monday Wednesday Thursday - -
Friday Introduce: 10A Distance between two points 10A.1
WEEK 4 Coordinate Geometry
Monday PROFESSIONAL DEVELOPMENT DAY NO CLASSES
Wednesday Continue: 10A Distance between two points 10A.2 Thursday Introduce: 10B Midpoints 10B
Friday Continue: 10B Midpoints 10B
WEEK 5 Coordinate Geometry
Monday Introduce: 10C.1 Gradient 10C.1
Wednesday Introduce: 10C.2 Gradient Introduce 10D: Axes intercepts
10C.2 10D
Thursday Recap: Coordinate Geometry so far
Friday FUTURE EARTH DAY NO YEAR 9 CLASSES
WEEK 6 Coordinate Geometry
Monday Introduce: 10E Equation of a line 10E Wednesday Introduce: 10F.1 Graphing lines from equations 10F.1
Thursday Introduce: 10F.2 Graphing lines from equations Worksheets Worksheet
Friday Recap: 10F.2 Graphing lines from equations 10F.2
WEEK 7 Coordinate Geometry
Monday Introduce: 10G Horizontal and vertical lines 10G Wednesday Introduce 10H: Finding the equation of a line 10H
Thursday Revision Half page notes Revision
Friday Revision Revision
WEEK 8 Coordinate Geometry
Monday TEST: Coordinate Geometry
Coordinate Geometry Test
Wednesday PARENT TEACHER INTERVIEWS NO CLASS
Thursday FOLIO: Coordinate Geometry Folio Friday FOLIO: Coordinate Geometry Folio
WEEK 9 Factorising
Monday FOLIO: Coordinate Geometry Folio Wednesday FOLIO: Coordinate Geometry Folio Thursday FOLIO: Coordinate Geometry Folio
Friday Introduce 12A: Common Factors Introduce 12B: Factorising with Common Factors
12A 12B
WEEK 10 Factorising
Monday Continue 12B: Factorising with Common Factors Introduce 12C: Difference of Two Squares Factorising
12B 12C
Wednesday Introduce 12D: Perfect Square Factorisation 12D Thursday Factorisation Revision Revision
Friday Test Section 1 -
YEAR 9 MATHS TOPIC 1: ALGEBRA AND COORDINATE GEOMETRY
WEEK 3: Friday 11/8/17 Lessons 1 & 2
10A: DISTANCE BETWEEN TWO POINTS
Intended learning outcomes: At the conclusion of this lesson, students will be able to:
• Calculate distances between two points using Pythagoras and the distance formula • Identify scalene, isosceles and equilateral triangles using the distance formula • Identify whether a triangle is right-angled or not, and if so determine where the right angle is loated in
the triangle
CONTENT LEARNING SUPPORTS STUDENT RESOURCES
Introduce myself Introduce 10A.1 - Draw Cartesian plane
(LABEL X/Y, origin, plot example points)
- Calculating distance example (using Pythagoras)
Questions: 10A.1 1, 2 odd, 3 Extension: 10A.1 4 Introduce 10A.2 - Explain distance formula - Explain identifying
triangles and right angles using distances
Questions: 10A.2 1 odd, 2, 3 Extension: 10A.2 4-6, worksheet Game: Counting to 20
5min 15min 15min 15min 20min 10min
Whiteboard Individual Reflection Small Group Discussion Whole Class Discussion Game
HAESE Textbook: Year 9 Maths
TEACHER RESOURCES
HAESE Textbook: Year 9 Maths
EXTENSION HOMEWORK CLASSROOM PREPARATION
If students finish early (or there is extra time), hand out worksheet. Direct students to SEQTA for additional resources/activities.
Complete 10A.1: 1, 2 odd, 3 Complete 10A.2: 1 odd, 2, 3
Bring whiteboard markers, graphics calculator and textbook. Bring lesson notes
YEAR 9 MATHS TOPIC 1: ALGEBRA AND COORDINATE GEOMETRY
WEEK 4: Wednesday 16/8/17 Lessons 7 & 8
10A.2: DISTANCE FORMULA 10B: MIDPOINTS
Intended learning outcomes: At the conclusion of this lesson, students will be able to:
• Identify scalene, isosceles and equilateral triangles using the distance formula • Use the midpoint formula to calculate the midpoint of two given coordinates • Work backwards to calculate a coordinate from it’s midpoint with a given coordinate and itself
CONTENT LEARNING SUPPORTS STUDENT RESOURCES
Recap 10A.2 – two worked examples and triangle classification Questions: 10A.2 1, 2 odd Extension: 10A.2 3, 4 Introduce 10B - Draw Cartesian plane
(plot two points find x middle and y middle)
- Introduce formula - Worked examples Questions: 10B 1, 2 LHS, 4 Extension: 10B 3, 5-8 Game: Counting to 20
20min 15min 20min 15min 10min
Whiteboard Individual Reflection Small Group Discussion Whole Class Discussion Game
HAESE Textbook: Year 9 Maths
TEACHER RESOURCES
HAESE Textbook: Year 9 Maths
EXTENSION HOMEWORK CLASSROOM PREPARATION
If students finish early (or there is extra time), direct students to SEQTA for additional resources/activities.
Complete 10A.2: 1, 2 odd Complete 10B: 1, 2 LHS, 4
Bring whiteboard markers, graphics calculator and textbook. Bring lesson notes
YEAR 9 MATHS TOPIC 1: ALGEBRA AND COORDINATE GEOMETRY
WEEK 4: Friday 18/8/17 Lessons 1 & 2
10B: MIDPOINTS
Intended learning outcomes: At the conclusion of this lesson, students will be able to:
• Use the midpoint formula to calculate the midpoint of two given coordinates • Work backwards to calculate a coordinate from it’s midpoint with a given coordinate and itself
CONTENT LEARNING SUPPORTS STUDENT RESOURCES
Class chat: expectations Introduce 10B - Draw Cartesian plane
(plot two points find x middle and y middle)
- Introduce formula - Worked examples Questions: 10B 1, 2 LHS Extension: 10B 3ac, 4a, 6-8 Continue 10B - Find an end coordinate
knowing the midpoint and start coordinate
- Worked examples Questions: 10B 3ac Extension: 10B 6-8
5min 15min 20min 15min 25min
Whiteboard Individual Reflection Small Group Discussion Whole Class Discussion
HAESE Textbook: Year 9 Maths
TEACHER RESOURCES
HAESE Textbook: Year 9 Maths
EXTENSION HOMEWORK CLASSROOM PREPARATION
If students finish early (or there is extra time), introduce gradient pre-worksheet.
Complete 10B: 1, 2 LHS, 3ac
Bring whiteboard markers, graphics calculator and textbook. Bring lesson notes
YEAR 9 MATHS TOPIC 1: ALGEBRA AND COORDINATE GEOMETRY
WEEK 5: Monday 21/8/17 Lesson 5
10C: GRADIENT
Intended learning outcomes: At the conclusion of this lesson, students will be able to:
• Distinguish between positive and negative gradients • Draw lines given their gradient • Find the gradients of a number of line segments • Understand that horizontal lines have a gradient of 0 and vertical lines have an undefined gradient
CONTENT LEARNING SUPPORTS STUDENT RESOURCES
Recap: 10B 3a worked example Introduce 10C - Draw Cartesian plane
and a series of lines - Gradient equation Worksheet: Gradient *discuss horizontal and vertical lines*
10min 10min 15min 5min
Whiteboard Individual Reflection Small Group Discussion Whole Class Discussion
HAESE Textbook: Year 9 Maths
TEACHER RESOURCES
HAESE Textbook: Year 9 Maths
EXTENSION HOMEWORK CLASSROOM PREPARATION
If students finish early (or there is extra time), ask about gradients of horizontal and vertical lines and direct to 10A.1 textbook questions.
Complete Gradient Worksheet
Bring whiteboard markers, graphics calculator and textbook. Bring lesson notes Bring gradient worksheet
YEAR 9 MATHS TOPIC 1: ALGEBRA AND COORDINATE GEOMETRY
WEEK 5: Wednesday 23/8/17 Lessons 7 & 8
10C: GRADIENT
Intended learning outcomes: At the conclusion of this lesson, students will be able to:
• Draw lines given their gradient • Find the gradients of a number of line segments • Understand that horizontal lines have a gradient of 0 and vertical lines have an undefined gradient
CONTENT LEARNING SUPPORTS STUDENT RESOURCES
Recap: 10C.1 worked example (3, 5) Introduce 10C.2 - Horizontal and Vertical
lines - Gradient equation - Worked examples Questions: 10C.2 2 LHS, 3 Extension: 10C.2 4, 5 10C.2 Worked Example - Example 8 Questions: 10C.2 6, 7 Extension: 10C.2 8 *discuss axes intercepts*
15min 15min 15min 10min 15min 5min
Whiteboard Individual Reflection Small Group Discussion Whole Class Discussion
HAESE Textbook: Year 9 Maths
TEACHER RESOURCES
HAESE Textbook: Year 9 Maths
EXTENSION HOMEWORK CLASSROOM PREPARATION
If students finish early (or there is extra time), Murder Mystery activity on SEQTA (plus other resources).
Complete Ex. 10C.2 q. 2 LHS, 3, 6, 7 pg 203-204
Bring whiteboard markers, graphics calculator and textbook. Bring lesson notes
YEAR 9 MATHS TOPIC 1: ALGEBRA AND COORDINATE GEOMETRY
WEEK 6: Monday 28/8/17 Lesson 5
10E: THE EQUATION OF A LINE
Intended learning outcomes: At the conclusion of this lesson, students will be able to:
• Understand the general equation of a line • Express the meaning of linear equations in words • Identify linear equations when given a table of x and y values • Determine if a given point lines on a line
CONTENT LEARNING SUPPORTS STUDENT RESOURCES
Introduce 10E - Y=mx+c - Examples: expressing in
words, table of values, points on a line
Questions: 10E 1a,c, 2 odd, 3, 4 Extension: 10E 5, 6, SEQTA resources *FEEDBACK FORM*
15min 20min 5min
Whiteboard Individual Reflection Small Group Discussion Whole Class Discussion
HAESE Textbook: Year 9 Maths
TEACHER RESOURCES
HAESE Textbook: Year 9 Maths
EXTENSION HOMEWORK CLASSROOM PREPARATION
If students finish early (or there is extra time), Murder Mystery activity on SEQTA (plus other resources).
Complete Ex. 10E q. 1a,c, 2 odd, 3, 4 pg 208-209
Bring whiteboard markers, graphics calculator and textbook. Bring lesson notes
YEAR 9 MATHS TOPIC 1: ALGEBRA AND COORDINATE GEOMETRY
WEEK 6: Wednesday 28/8/17 Lessons 7 & 8
10F: GRAPHING LINES FROM EQUATIONS 10G: VERTICAL AND HORIZONTAL LINES
Intended learning outcomes: At the conclusion of this lesson, students will be able to:
• State the gradient and y-intercepts of a range of linear equations • Understand that all linear equations take the form y=mx+c where m=slope/gradient, c=y-intercept • Draw linear equations using graphics calculators • Understand that all vertical lines have equations that take the form x=a • Understand that all horizontal lines have equations that take the form y=c
CONTENT LEARNING SUPPORTS STUDENT RESOURCES
Introduce 10F.1 - Y=mx+c - Worked examples Questions: 10F.1 1 LHS, 2 Introduce 10F.2 - Use GC emulator to
graph equations - Worked examples Questions: 10F.2 1 LHS, 2 BREAK Introduce 10G - Vertical: x=a - Horizontal: y=c - Reminder of gradient Questions: 10G 1 odd, 2 Extension: Where am I? Worksheet
10min 15min 15min 10min 5min 10min 15min
Whiteboard Individual Reflection Small Group Discussion Whole Class Discussion GC Emulators
HAESE Textbook: Year 9 Maths
TEACHER RESOURCES
HAESE Textbook: Year 9 Maths
Worksheet: “Where am I?”
EXTENSION HOMEWORK CLASSROOM PREPARATION
If students finish early (or there is extra time), direct to Where am I? Worksheet on SEQTA.
Complete any incomplete questions (25min worth of work).
Bring whiteboard markers, graphics calculator and textbook. Bring lesson notes
YEAR 9 MATHS TOPIC 1: ALGEBRA AND COORDINATE GEOMETRY
WEEK 6: Friday 1/9/17 Lessons 1 & 2
10F: GRAPHING LINES FROM EQUATIONS 10G: VERTICAL AND HORIZONTAL LINES
Intended learning outcomes: At the conclusion of this lesson, students will be able to:
• Draw linear equations by hand and using graphics calculators when given the slope and y-intercept • Understand that all vertical lines have equations that take the form x=a • Understand that all horizontal lines have equations that take the form y=c
CONTENT LEARNING SUPPORTS STUDENT RESOURCES
Introduce 10F.2 - Recap worksheet - Worked example - Use GC emulator to
graph equations - Worked examples Questions: 10F.2 1 LHS (check using GC) Introduce 10G - Vertical: x=a - Horizontal: y=c - Reminder of gradient
(0/undefined) Questions: 10G 1 odd, 2 Extension: Squares and Rectangles activity BREAK Introduce 10H - Worked examples Questions: 10H 1 odd, 2 odd Extension: Squares and Rectangles activity
15min 15min 10min 15min 5min 10min 10min
Whiteboard GC Emulators Individual Work Small Group Discussion Whole Class Discussion
HAESE Textbook: Year 9 Maths
TEACHER RESOURCES
HAESE Textbook: Year 9 Maths
Worksheet: “Squares and
Rectangles”
EXTENSION HOMEWORK CLASSROOM PREPARATION
If students finish early (or there is extra time), direct to Squares and Rectangle Worksheet.
Complete any incomplete questions (25min worth of work).
Bring whiteboard markers, graphics calculator and textbook. Bring lesson notes
YEAR 9 MATHS TOPIC 1: ALGEBRA AND COORDINATE GEOMETRY
WEEK 7: Monday 4/9/17 Lesson 5
10G: VERTICAL AND HORIZONTAL LINES
Intended learning outcomes: At the conclusion of this lesson, students will be able to:
• Understand that all vertical lines have equations that take the form x=a • Understand that all horizontal lines have equations that take the form y=c • Draw equations of horizontal and vertical lines on a set of axes.
CONTENT LEARNING SUPPORTS STUDENT RESOURCES
Introduce 10G - Vertical: x=a - Horizontal: y=c - Reminder of gradient
(0/undefined) Questions: 10G 1 odd, 2 Extension: Squares and Rectangles activity
10min 25min
Whiteboard Individual Work Small Group Discussion Whole Class Discussion
HAESE Textbook: Year 9 Maths
TEACHER RESOURCES
HAESE Textbook: Year 9 Maths
Worksheet: “Squares and
Rectangles”
EXTENSION HOMEWORK CLASSROOM PREPARATION
If students finish early (or there is extra time), introduce 10H: Finding the Equation of a Line.
Complete any incomplete questions (25min worth of work).
Bring whiteboard markers, graphics calculator and textbook. Bring lesson notes
YEAR 9 MATHS TOPIC 1: ALGEBRA AND COORDINATE GEOMETRY
WEEK 7: Wednesday 6/9/17 Lessons 7 & 8
10H: FINDING THE EQUATION OF A LINE
Intended learning outcomes: At the conclusion of this lesson, students will be able to:
• Write linear equations when given the gradient and y-intercept of the line • Find linear equations when given the gradient and a point which the line passes through, both
graphically and algebraically • Find linear equations when given two points the line passes through, both graphically and
algebraically
CONTENT LEARNING SUPPORTS STUDENT RESOURCES
Introduce 10H - Brief explanation - Distribute worksheet - Work with small groups to
explain concept if unsure Questions: Worksheet Extension: 10H 4, Squares and Rectangles activity Break Continue 10H - Finding equations with
two points Questions: 10H 5 odd, 7 odd Extension: 10H 8, 9, Squares and Rectangles activity
10min 35min 5min 10min 15min
Whiteboard Worksheet Individual Work Small Group Discussion Whole Class Discussion
HAESE Textbook: Year 9 Maths
TEACHER RESOURCES
HAESE Textbook: Year 9 Maths
Worksheet: “Finding Equations
of Lines”
Worksheet: “Squares and Rectangles”
EXTENSION HOMEWORK CLASSROOM PREPARATION
If students finish early (or there is extra time), continue working on squares and rectangles activity, otherwise begin revision.
Complete any incomplete questions (25min worth of work).
Bring whiteboard markers, graphics calculator and textbook. Bring lesson notes Bring Linear Equations Worksheet.