year 9 maths · year 9 maths week 3 coordinate geometry monday wednesday thursday - - friday...

YEAR 9 MATHS

WEEK 3 Coordinate Geometry

Monday Wednesday Thursday - -

Friday Introduce: 10A Distance between two points 10A.1


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


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


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


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


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


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


WEEK 4: Wednesday 16/8/17 Lessons 7 & 8

10A.2: DISTANCE FORMULA 10B: MIDPOINTS


• 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


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


TEACHER RESOURCES



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




10B: MIDPOINTS


• 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


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


Whiteboard Individual Reflection Small Group Discussion Whole Class Discussion


TEACHER RESOURCES



If students finish early (or there is extra time), introduce gradient pre-worksheet.

Complete 10B: 1, 2 LHS, 3ac



WEEK 5: Monday 21/8/17 Lesson 5

10C: GRADIENT


• 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


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



TEACHER RESOURCES



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



10C: GRADIENT


• 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


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



TEACHER RESOURCES



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




10E: THE EQUATION OF A LINE


• 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


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



TEACHER RESOURCES



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




10F: GRAPHING LINES FROM EQUATIONS 10G: VERTICAL AND HORIZONTAL LINES


• 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


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


TEACHER RESOURCES


Worksheet: “Where am I?”


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).




10F: GRAPHING LINES FROM EQUATIONS 10G: VERTICAL AND HORIZONTAL LINES


• 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


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


TEACHER RESOURCES


Worksheet: “Squares and

Rectangles”


If students finish early (or there is extra time), direct to Squares and Rectangle Worksheet.





10G: VERTICAL AND HORIZONTAL LINES


• 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.


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


TEACHER RESOURCES


Worksheet: “Squares and

Rectangles”


If students finish early (or there is extra time), introduce 10H: Finding the Equation of a Line.





10H: FINDING THE EQUATION OF A LINE


• 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


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


Whiteboard Worksheet Individual Work Small Group Discussion Whole Class Discussion


TEACHER RESOURCES


Worksheet: “Finding Equations

of Lines”

Worksheet: “Squares and Rectangles”


If students finish early (or there is extra time), continue working on squares and rectangles activity, otherwise begin revision.


Bring whiteboard markers, graphics calculator and textbook. Bring lesson notes Bring Linear Equations Worksheet.

year 9 maths · year 9 maths week 3 coordinate geometry monday wednesday thursday - - friday...

Documents