YEAR 9 MATHS. Monday Wednesday Thursday - - Friday Introduce: 10A Distance between two points 10A.1. WEEK 3 Coordinate Geometry.

Size: px
Start display at page:

Download "YEAR 9 MATHS. Monday Wednesday Thursday - - Friday Introduce: 10A Distance between two points 10A.1. WEEK 3 Coordinate Geometry."

Transcription

1 WEEK 3 Coordinate Geometry WEEK 4 Coordinate Geometry WEEK 5 Coordinate Geometry WEEK 6 Coordinate Geometry WEEK 7 Coordinate Geometry WEEK 8 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 10C.2 Introduce 10D: Axes intercepts 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

2 WEEK 9 Factorising WEEK 10 Factorising Monday FOLIO: Coordinate Geometry Folio Wednesday FOLIO: Coordinate Geometry Folio Thursday FOLIO: Coordinate Geometry Folio Friday Introduce 12A: Common Factors 12A Introduce 12B: Factorising with Common Factors 12B Monday Continue 12B: Factorising with Common Factors 12B Introduce 12C: Difference of Two Squares Factorising 12C Wednesday Introduce 12D: Perfect Square Factorisation 12D Thursday Factorisation Revision Revision Friday Test Section 1 -

3 WEEK 3: Friday 11/8/17 Lessons 1 & 2 10A: DISTANCE BETWEEN TWO POINTS 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 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 20min Game Game: Counting to 20 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

4 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 20min 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 20min Questions: 10B 1, 2 LHS, 4 Extension: 10B 3, 5-8 Game: Counting to 20 Game extra time), direct students to SEQTA for additional resources/activities. Complete 10A.2: 1, 2 odd Complete 10B: 1, 2 LHS, 4

5 WEEK 4: Friday 18/8/17 Lessons 1 & 2 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 Questions: 10B 1, 2 LHS Extension: 10B 3ac, 4a, min Continue 10B - Find an end coordinate knowing the midpoint and start coordinate Questions: 10B 3ac Extension: 10B extra time), introduce gradient pre-worksheet. Complete 10B: 1, 2 LHS, 3ac

6 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* extra time), ask about gradients of horizontal and vertical lines and direct to 10A.1 textbook questions. Complete Gradient Worksheet Bring gradient worksheet

7 WEEK 5: Wednesday 23/8/17 Lessons 7 & 8 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 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* extra time), Murder Mystery activity on SEQTA (plus other resources). Complete Ex. 10C.2 q. 2 LHS, 3, 6, 7 pg

8 WEEK 6: Monday 28/8/17 Lesson 5 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* 20min extra time), Murder Mystery activity on SEQTA (plus other resources). Complete Ex. 10E q. 1a,c, 2 odd, 3, 4 pg

9 WEEK 6: Wednesday 28/8/17 Lessons 7 & 8 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 Questions: 10F.1 1 LHS, 2 Introduce 10F.2 - Use GC emulator to graph equations 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 GC Emulators Worksheet: Where am I? extra time), direct to Where am I? Worksheet on SEQTA. Complete any incomplete questions (2 worth of work).

10 WEEK 6: Friday 1/9/17 Lessons 1 & 2 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 Questions: 10F.2 1 LHS (check using GC) Introduce 10G - Vertical: x=a - Horizontal: y=c - Reminder of gradient (0/undefined) GC Emulators Questions: 10G 1 odd, 2 Extension: Squares and Rectangles activity BREAK Introduce 10H Individual Work Worksheet: Squares and Rectangles Questions: 10H 1 odd, 2 odd Extension: Squares and Rectangles activity extra time), direct to Squares and Rectangle Worksheet. Complete any incomplete questions (2 worth of work).

11 WEEK 7: Monday 4/9/17 Lesson 5 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 2 Individual Work Worksheet: Squares and Rectangles extra time), introduce 10H: Finding the Equation of a Line. Complete any incomplete questions (2 worth of work).

12 WEEK 7: Wednesday 6/9/17 Lessons 7 & 8 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 3 Worksheet Continue 10H - Finding equations with two points Individual Work Questions: 10H 5 odd, 7 odd Extension: 10H 8, 9, Squares and Rectangles activity Worksheet: Finding Equations of Lines Worksheet: Squares and Rectangles extra time), continue working on squares and rectangles activity, otherwise begin revision. Complete any incomplete questions (2 worth of work). Bring Linear Equations Worksheet.

An experienced mathematics teacher guides students through the use of a number of very important skills in coordinate geometry.

An experienced mathematics teacher guides students through the use of a number of very important skills in coordinate geometry. Mathematics Stills from our new series Coordinates An experienced mathematics teacher guides students through the use of a number of very important skills in coordinate geometry. Distance between Two Points

More information

.(3, 2) Co-ordinate Geometry Co-ordinates. Every point has two co-ordinates. Plot the following points on the plane. A (4, 1) D (2, 5) G (6, 3)

.(3, 2) Co-ordinate Geometry Co-ordinates. Every point has two co-ordinates. Plot the following points on the plane. A (4, 1) D (2, 5) G (6, 3) Co-ordinate Geometry Co-ordinates Every point has two co-ordinates. (3, 2) x co-ordinate y co-ordinate Plot the following points on the plane..(3, 2) A (4, 1) D (2, 5) G (6, 3) B (3, 3) E ( 4, 4) H (6,

More information

8. prove that triangle is a scalene triangle, right triangle, and/or an isosceles triangle. (evaluation)

8. prove that triangle is a scalene triangle, right triangle, and/or an isosceles triangle. (evaluation) Subject: Geometry Unit: Analytic Geometry Grade: 10 Students will: 1. compare parallel and perpendicular slopes. (analysis) 2. find the slope of a line given two points. (application) 3. find the length

More information

CHAPTER 2 REVIEW COORDINATE GEOMETRY MATH Warm-Up: See Solved Homework questions. 2.2 Cartesian coordinate system

CHAPTER 2 REVIEW COORDINATE GEOMETRY MATH Warm-Up: See Solved Homework questions. 2.2 Cartesian coordinate system CHAPTER 2 REVIEW COORDINATE GEOMETRY MATH6 2.1 Warm-Up: See Solved Homework questions 2.2 Cartesian coordinate system Coordinate axes: Two perpendicular lines that intersect at the origin O on each line.

More information

Geometry Unit 5 Geometric and Algebraic Connections. Table of Contents

Geometry Unit 5 Geometric and Algebraic Connections. Table of Contents Geometry Unit 5 Geometric and Algebraic Connections Table of Contents Lesson 5 1 Lesson 5 2 Distance.p. 2-3 Midpoint p. 3-4 Partitioning a Directed Line. p. 5-6 Slope. p.7-8 Lesson 5 3 Revisit: Graphing

More information

Midpoint and Distance Formulas

Midpoint and Distance Formulas CP1 Math Unit 5: Coordinate Geometry: Day Name Midpoint Formula: Midpoint and Distance Formulas The midpoint of the line segment between any two points (x!, y! ) to (x!, y! ) is given by: In your groups,

More information

MATH 115: Review for Chapter 1

MATH 115: Review for Chapter 1 MATH 115: Review for Chapter 1 Can you use the Distance Formula to find the distance between two points? (1) Find the distance d P, P between the points P and 1 1, 6 P 10,9. () Find the length of the line

More information

Coordinate Geometry. Coordinate geometry is the study of the relationships between points on the Cartesian plane

Coordinate Geometry. Coordinate geometry is the study of the relationships between points on the Cartesian plane Coordinate Geometry Coordinate geometry is the study of the relationships between points on the Cartesian plane What we will explore in this tutorial (a) Explore gradient I. Identify the gradient of a

More information

Week 2. Monday: 1.1. Tuesday: 1.2. Wednesday: 1.3. Thursday: Catch up Friday: 1.4 Monday: OFF Tuesday: 1.5. Problem Solving, Patterns, Induction

Week 2. Monday: 1.1. Tuesday: 1.2. Wednesday: 1.3. Thursday: Catch up Friday: 1.4 Monday: OFF Tuesday: 1.5. Problem Solving, Patterns, Induction Monday: 1.1 Week 2 Problem Solving, Patterns, Induction Tuesday: 1.2 Geometry Basics Wednesday: 1.3 Segments and Measuring Thursday: Catch up Friday: 1.4 Monday: OFF Tuesday: 1.5 1 Mindfulness Training

More information

Algebra I Notes Linear Equations and Inequalities in Two Variables Unit 04c

Algebra I Notes Linear Equations and Inequalities in Two Variables Unit 04c Big Idea: Describe the similarities and differences between equations and inequalities including solutions and graphs. Skill: graph linear equations and find possible solutions to those equations using

More information

Route Map (Start September 2012) Year 9

Route Map (Start September 2012) Year 9 Route Map (Start September 2012) Year 9 3 th 7 th Sept 10 th -14 th Sept 17 th 21 st Sept 24 th 28 th Sept 1 st -5 th Oct 8 th -12 th Oct 15 th 19 th Oct 22 nd -26 th Oct 29 th Oct-2 nd Nov 5 th -9 th

More information

Geometry Unit 2: Linear. Section Page and Problems Date Assigned

Geometry Unit 2: Linear. Section Page and Problems Date Assigned Geometry Name: Geometry Unit 2: Linear Topics Covered: Midpoint formula Distance formula Slope Slope- Intercept Form Point- Slope Form Standard Form Assignment # Section Page and Problems Date Assigned

More information

High School Geometry. Correlation of the ALEKS course High School Geometry to the ACT College Readiness Standards for Mathematics

High School Geometry. Correlation of the ALEKS course High School Geometry to the ACT College Readiness Standards for Mathematics High School Geometry Correlation of the ALEKS course High School Geometry to the ACT College Readiness Standards for Mathematics Standard 5 : Graphical Representations = ALEKS course topic that addresses

More information

Section A1: Gradients of straight lines

Section A1: Gradients of straight lines Time To study this unit will take you about 10 hours. Trying out and evaluating the activities with your pupils in the class will be spread over the weeks you have planned to cover the topic. 31 Section

More information

Stage 3 Maths Program Term 2 Week 3

Stage 3 Maths Program Term 2 Week 3 Stage 3 Maths Program Term 2 Week 3 NSW K-10 Mathematics Syllabus Outcomes Patterns and Algebra (1) MA3-8NA - Analyses and creates geometric and number patterns, constructs and completes number sentences,

More information

The x coordinate tells you how far left or right from center the point is. The y coordinate tells you how far up or down from center the point is.

The x coordinate tells you how far left or right from center the point is. The y coordinate tells you how far up or down from center the point is. We will review the Cartesian plane and some familiar formulas. College algebra Graphs 1: The Rectangular Coordinate System, Graphs of Equations, Distance and Midpoint Formulas, Equations of Circles Section

More information

VERIFYING PROPERTIES OF GEOMETRIC FIGURES. Ad is a median

VERIFYING PROPERTIES OF GEOMETRIC FIGURES. Ad is a median UNIT NLYTI GEOMETRY VERIFYING PROPERTIES OF GEOMETRI FIGURES Parallelogram Rhombus Quadrilateral E H D F G = D and = D EF FG GH EH I L J Right Triangle Median of a Triangle K b a c d is a median D ltitude

More information

DISTANCE FORMULA: to find length or distance =( ) +( )

DISTANCE FORMULA: to find length or distance =( ) +( ) MATHEMATICS ANALYTICAL GEOMETRY DISTANCE FORMULA: to find length or distance =( ) +( ) A. TRIANGLES: Distance formula is used to show PERIMETER: sum of all the sides Scalene triangle: 3 unequal sides Isosceles

More information

Warm-up for Integrated Geometry and Algebra II

Warm-up for Integrated Geometry and Algebra II Summer Assignment Warm-up for Integrated Geometry and Algebra II Who should complete this packet? Students who will be taking Integrated Geometry and Algebra II in the fall of 018. Due Date: The first

More information

Geometry R. Unit 12 Coordinate Geometry. Day Classwork Day Homework Wednesday 3/7 Thursday 3/8 Friday 3/9

Geometry R. Unit 12 Coordinate Geometry. Day Classwork Day Homework Wednesday 3/7 Thursday 3/8 Friday 3/9 Geometry R Unit 12 Coordinate Geometry Day Classwork Day Homework Wednesday 3/7 Thursday 3/8 Friday 3/9 Unit 11 Test Review Equations of Lines 1 HW 12.1 Perimeter and Area of Triangles in the Coordinate

More information

You should be able to plot points on the coordinate axis. You should know that the the midpoint of the line segment joining (x, y 1 1

You should be able to plot points on the coordinate axis. You should know that the the midpoint of the line segment joining (x, y 1 1 Name GRAPHICAL REPRESENTATION OF DATA: You should be able to plot points on the coordinate axis. You should know that the the midpoint of the line segment joining (x, y 1 1 ) and (x, y ) is x1 x y1 y,.

More information

Chislehurst and Sidcup Grammar School Mathematics Department Year 9 Programme of Study

Chislehurst and Sidcup Grammar School Mathematics Department Year 9 Programme of Study Chislehurst and Sidcup Grammar School Mathematics Department Year 9 Programme of Study Timings Topics Autumn Term - 1 st half (7 weeks - 21 lessons) 1. Algebra 1: Expressions, Formulae, Equations and Inequalities

More information

Coordinate Geometry Lisa A. Over Robert Morris University Professor Trombetta EDUC 6400: Reading Across the Curriculum and ELL

Coordinate Geometry Lisa A. Over Robert Morris University Professor Trombetta EDUC 6400: Reading Across the Curriculum and ELL Coordinate Geometry Lisa A. Over Robert Morris University Professor Trombetta EDUC 6400: Reading Across the Curriculum and ELL Overview According to the PA State Standards for mathematics, students must

More information

How does Algebra and Geometry help us make sense of our world?

How does Algebra and Geometry help us make sense of our world? Year 9 senior programme Learning cycle one The KING S Medium Term Plan Mathematics Module Building on prior learning Overarching subject Challenge question Lines of Enquiry Geometry and Algebra (Angles,

More information

Mathematical Reasoning. Lesson 41: Triangles and Quadrilaterals. LESSON 41: Triangles and Quadrilaterals

Mathematical Reasoning. Lesson 41: Triangles and Quadrilaterals. LESSON 41: Triangles and Quadrilaterals LESSON 41: Triangles and Quadrilaterals Weekly Focus: geometry intro Weekly Skill: vocabulary, and measure perimeter, area Lesson Summary: For the warm up, students will solve a problem about the U.S.

More information

All Work should be in your Blue Book and Hardback Your previous tests throughout the year should also help with revision.

All Work should be in your Blue Book and Hardback Your previous tests throughout the year should also help with revision. All Work should be in your Blue Book and Hardback Your previous tests throughout the year should also help with revision. Patterns and Sequences Chapter 18 Textbook You Must be able to: Recognise a sequence

More information

Points, Lines, Planes, and Angles pp

Points, Lines, Planes, and Angles pp LESSON 5-1 Points, Lines, Planes, and Angles pp. 222 224 Vocabulary point (p. 222) line (p. 222) plane (p. 222) segment (p. 222) ray (p. 222) angle (p. 222) right angle (p. 223) acute angle (p. 223) obtuse

More information

Each point P in the xy-plane corresponds to an ordered pair (x, y) of real numbers called the coordinates of P.

Each point P in the xy-plane corresponds to an ordered pair (x, y) of real numbers called the coordinates of P. Lecture 7, Part I: Section 1.1 Rectangular Coordinates Rectangular or Cartesian coordinate system Pythagorean theorem Distance formula Midpoint formula Lecture 7, Part II: Section 1.2 Graph of Equations

More information

Maths Homework Booklet Term 1

Maths Homework Booklet Term 1 Maths Homework Booklet Term 1 Each week every student will be set piece of homework. This will be set on the first lesson of the week and due in on the last lesson of the week. Should students want to

More information

Intensive Math-Algebra I Mini Lesson MA.912.A.3.10

Intensive Math-Algebra I Mini Lesson MA.912.A.3.10 Intensive Math-Algebra I Mini Lesson M912.3.10 Summer 2013 Writing Equations of Perpendicular Lines Student Packet Day 10 Name: Date: Benchmark M912.3.10 Write an equation of a line given any of the following

More information

GEOMETRY LAB UNIT 3: PARALLEL AND PERPENDICULAR LINES

GEOMETRY LAB UNIT 3: PARALLEL AND PERPENDICULAR LINES GEOMETRY LAB UNIT 3: PARALLEL AND PERPENDICULAR LINES **SHOW ALL WORK** A COMPASS AND GRAPH PAPER IS NECESSARY FOR THIS UNIT LESSON TOPIC BOOK/ VIDEO DAY 1 LINES AND ANGLES (3-1) SYSTEMS OF EQUATIONS (P152-3)

More information

Geometry Summer Packet Instructions

Geometry Summer Packet Instructions Geometry Summer Packet Instructions Dear Student, You are receiving this summer packet as a review of previously covered math topics needed to be successful in the upcoming math class you will be taking

More information

MATHS METHODS QUADRATICS REVIEW. A reminder of some of the laws of expansion, which in reverse are a quick reference for rules of factorisation

MATHS METHODS QUADRATICS REVIEW. A reminder of some of the laws of expansion, which in reverse are a quick reference for rules of factorisation MATHS METHODS QUADRATICS REVIEW LAWS OF EXPANSION A reminder of some of the laws of expansion, which in reverse are a quick reference for rules of factorisation a) b) c) d) e) FACTORISING Exercise 4A Q6ace,7acegi

More information

Section 1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations

Section 1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations Section 1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations origin (x, y) Ordered pair (x-coordinate, y-coordinate) (abscissa, ordinate) x axis Rectangular or

More information

Mathematics Stage 5 PAS5.2.3 Coordinate geometry. Midpoint, distance and gradient

Mathematics Stage 5 PAS5.2.3 Coordinate geometry. Midpoint, distance and gradient Mathematics Stage 5 PAS5..3 Coordinate geometry Part 1 Midpoint, distance and gradient Number: 43658 Title: PAS5..3 Coordinate Geometry This publication is copyright New South Wales Department of Education

More information

RtI 7. Curriculum (219 topics additional topics)

RtI 7. Curriculum (219 topics additional topics) RtI 7 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs. Curriculum

More information

Table of Contents. Introduction to the Math Practice Series...1

Table of Contents. Introduction to the Math Practice Series...1 Table of Contents Table of Contents Introduction to the Math Practice Series...1 Common Mathematics/Geometry Symbols and Terms...2 Chapter 1: Introduction To Geometry...13 Shapes, Congruence, Similarity,

More information

Negative numbers - Add and subtract, multiply and divide negative numbers

Negative numbers - Add and subtract, multiply and divide negative numbers Mathematics Year 7 Autumn Term BIDMAS order of operations Negative numbers - Add and subtract, multiply and divide negative numbers Algebra Fractions Angles Rounding - Use letters for numbers - Collect

More information

Area of triangle? Area of square? Area of Rectangle? distance formula: slope point form: slope intercept form: February 22, 2017

Area of triangle? Area of square? Area of Rectangle? distance formula: slope point form: slope intercept form: February 22, 2017 Formula Page for this Unit! Quiz tomorrow! Slope Formula: rise run slope intercept form: slope point form: distance formula: Area of triangle? Area of parallelogram? Area of square? Area of Rectangle?

More information

Midpoint of a Line Segment Pg. 78 # 1, 3, 4-6, 8, 18. Classifying Figures on a Cartesian Plane Quiz ( )

Midpoint of a Line Segment Pg. 78 # 1, 3, 4-6, 8, 18. Classifying Figures on a Cartesian Plane Quiz ( ) UNIT 2 ANALYTIC GEOMETRY Date Lesson TOPIC Homework Feb. 22 Feb. 23 Feb. 24 Feb. 27 Feb. 28 2.1 2.1 2.2 2.2 2.3 2.3 2.4 2.5 2.1-2.3 2.1-2.3 Mar. 1 2.6 2.4 Mar. 2 2.7 2.5 Mar. 3 2.8 2.6 Mar. 6 2.9 2.7 Mar.

More information

Lesson 9: Coordinate Proof - Quadrilaterals Learning Targets

Lesson 9: Coordinate Proof - Quadrilaterals Learning Targets Lesson 9: Coordinate Proof - Quadrilaterals Learning Targets Using coordinates, I can find the intersection of the medians of a triangle that meet at a point that is two-thirds of the way along each median

More information

Do you need a worksheet or a copy of the teacher notes? Go to

Do you need a worksheet or a copy of the teacher notes? Go to Name Period Day Date Assignment (Due the next class meeting) Wednesday Thursday Friday Monday Tuesday Wednesday Thursday Friday Monday Tuesday Wednesday Thursday Friday Monday Tuesday Wednesday Thursday

More information

Notes Lesson 3 4. Positive. Coordinate. lines in the plane can be written in standard form. Horizontal

Notes Lesson 3 4. Positive. Coordinate. lines in the plane can be written in standard form. Horizontal A, B, C are Notes Lesson 3 4 Standard Form of an Equation: Integers Ax + By = C Sometimes it is preferred that A is Positive All lines in the plane can be written in standard form. Oblique Coordinate Horizontal

More information

UNIT 6: Connecting Algebra & Geometry through Coordinates

UNIT 6: Connecting Algebra & Geometry through Coordinates TASK: Vocabulary UNIT 6: Connecting Algebra & Geometry through Coordinates Learning Target: I can identify, define and sketch all the vocabulary for UNIT 6. Materials Needed: 4 pieces of white computer

More information

Chapter 1. Linear Equations and Straight Lines. 2 of 71. Copyright 2014, 2010, 2007 Pearson Education, Inc.

Chapter 1. Linear Equations and Straight Lines. 2 of 71. Copyright 2014, 2010, 2007 Pearson Education, Inc. Chapter 1 Linear Equations and Straight Lines 2 of 71 Outline 1.1 Coordinate Systems and Graphs 1.4 The Slope of a Straight Line 1.3 The Intersection Point of a Pair of Lines 1.2 Linear Inequalities 1.5

More information

L13-Mon-3-Oct-2016-Sec-1-1-Dist-Midpt-HW Graph-HW12-Moodle-Q11, page 1 L13-Mon-3-Oct-2016-Sec-1-1-Dist-Midpt-HW Graph-HW12-Moodle-Q11

L13-Mon-3-Oct-2016-Sec-1-1-Dist-Midpt-HW Graph-HW12-Moodle-Q11, page 1 L13-Mon-3-Oct-2016-Sec-1-1-Dist-Midpt-HW Graph-HW12-Moodle-Q11 L13-Mon-3-Oct-016-Sec-1-1-Dist-Midpt-HW11-1--Graph-HW1-Moodle-Q11, page 1 L13-Mon-3-Oct-016-Sec-1-1-Dist-Midpt-HW11-1--Graph-HW1-Moodle-Q11 1.1 Rectangular Coordinate System: Suppose we know the sum of

More information

JMG. Algebra II. Resigning from a job. Working with Radian Measures & the Unit Circle Students. How to Effectively Write a Letter of Resignation

JMG. Algebra II. Resigning from a job. Working with Radian Measures & the Unit Circle Students. How to Effectively Write a Letter of Resignation Lesson Plans Lesson Plan WEEK 35 May 8-May 12 Subject to change 2016-2017 Mrs. Whitman 1 st 2 nd Period 3 rd Period 4 th Period 5 th Period 6 th Period H S Mathematics Period Prep Geometry Math Extensions

More information

The Rectangular Coordinate System and Equations of Lines. College Algebra

The Rectangular Coordinate System and Equations of Lines. College Algebra The Rectangular Coordinate System and Equations of Lines College Algebra Cartesian Coordinate System A grid system based on a two-dimensional plane with perpendicular axes: horizontal axis is the x-axis

More information

GCSE-AS Mathematics Bridging Course. Chellaston School. Dr P. Leary (KS5 Coordinator) Monday Objectives. The Equation of a Line.

GCSE-AS Mathematics Bridging Course. Chellaston School. Dr P. Leary (KS5 Coordinator) Monday Objectives. The Equation of a Line. GCSE-AS Mathematics Bridging Course Chellaston School Dr (KS5 Coordinator) Monday Objectives The Equation of a Line Surds Linear Simultaneous Equations Tuesday Objectives Factorising Quadratics & Equations

More information

Discovering Geometry: 1 st Quarter. California Geometry Standard Resources

Discovering Geometry: 1 st Quarter. California Geometry Standard Resources Discovering Geometry: 1 st Quarter 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms, axioms, Ch. 1,2, 1,2,3, 2.0 Students write geometric proofs, including proofs

More information

Geometry. Instructional Activities:

Geometry. Instructional Activities: GEOMETRY Instructional Activities: Geometry Assessment: A. Direct Instruction A. Quizzes B. Cooperative Learning B. Skill Reviews C. Technology Integration C. Test Prep Questions D. Study Guides D. Chapter

More information

Autumn Autumn 2 1. Spring 1 1

Autumn Autumn 2 1. Spring 1 1 YEAR 10 HIGHER : Term Week Autumn 1 1 7 Autumn 1 7 Spring 1 1 Spring 1 Summer 1 1 Summer 1 : 017-18 YEAR 10: 017-18 Basic Number Baseline testing Basic Number Fractions, ratios and proportions Fractions,

More information

Year 10 Scheme of work

Year 10 Scheme of work Year 10 Scheme of work Guidelines The purpose of this scheme of work is to build pupils towards an old style GCSE exam at the end of year 10 (see headings of different tiers on SOW). Pupils will be assessed

More information

Summer Math Packet for Rising 8 th Grade Students

Summer Math Packet for Rising 8 th Grade Students Name This assignment provides a review of mathematical and algebraic skills that are required for success in 8 th grade accelerated math class. Students, please use the packets as a review to help you

More information

Get Ready. Solving Equations 1. Solve each equation. a) 4x + 3 = 11 b) 8y 5 = 6y + 7

Get Ready. Solving Equations 1. Solve each equation. a) 4x + 3 = 11 b) 8y 5 = 6y + 7 Get Ready BLM... Solving Equations. Solve each equation. a) 4x + = 8y 5 = 6y + 7 c) z+ = z+ 5 d) d = 5 5 4. Write each equation in the form y = mx + b. a) x y + = 0 5x + y 7 = 0 c) x + 6y 8 = 0 d) 5 0

More information

Sec 4.1 Coordinates and Scatter Plots. Coordinate Plane: Formed by two real number lines that intersect at a right angle.

Sec 4.1 Coordinates and Scatter Plots. Coordinate Plane: Formed by two real number lines that intersect at a right angle. Algebra I Chapter 4 Notes Name Sec 4.1 Coordinates and Scatter Plots Coordinate Plane: Formed by two real number lines that intersect at a right angle. X-axis: The horizontal axis Y-axis: The vertical

More information

Birkdale High School - Higher Scheme of Work

Birkdale High School - Higher Scheme of Work Birkdale High School - Higher Scheme of Work Module 1 - Integers and Decimals Understand and order integers (assumed) Use brackets and hierarchy of operations (BODMAS) Add, subtract, multiply and divide

More information

3 Baseline testing (2 lessons: aural and written) Using letters for unknown numbers, simplifying expressions, expanding brackets

3 Baseline testing (2 lessons: aural and written) Using letters for unknown numbers, simplifying expressions, expanding brackets Key Stage Mathematics Overview Year Plan Revision, Integers, powers and Introduction and revision and starting Integers, Multiples, factors, prime numbers, Squares and square negative numbers, more adding

More information

YEAR 10- Mathematics Term 1 plan

YEAR 10- Mathematics Term 1 plan Week YEAR 10- Mathematics Term 1 plan 2016-2017 Course Objectives 1 The number system To understand and use 4 rules and order of operation. To understand and use Recurring decimals. Add subtract multiply

More information

Lesson 19: The Graph of a Linear Equation in Two Variables is a Line

Lesson 19: The Graph of a Linear Equation in Two Variables is a Line Lesson 19: The Graph of a Linear Equation in Two Variables is a Line Classwork Exercises Theorem: The graph of a linear equation y = mx + b is a non-vertical line with slope m and passing through (0, b),

More information

Year 6 Maths Scheme of Work

Year 6 Maths Scheme of Work Year 6 National Curriculum The 2014 2015 Year 6 cohort will be using the old national curriculum as this is what will be used for the KS2 SATs 2015. Below are the objectives students are required to meet

More information

line graphs Primes time. This time series graph shows median incomes in the UK from 1980 to The factors of a number are any whole numbers

line graphs Primes time. This time series graph shows median incomes in the UK from 1980 to The factors of a number are any whole numbers PROBABILITY NUMBER Factors, multiples and primes Line graphs Median income ( s) A time series graph is a line graph that shows how a variable changes over a period Factors and multiples Primes time. This

More information

Correlation of the ALEKS courses Algebra 1 and High School Geometry to the Wyoming Mathematics Content Standards for Grade 11

Correlation of the ALEKS courses Algebra 1 and High School Geometry to the Wyoming Mathematics Content Standards for Grade 11 Correlation of the ALEKS courses Algebra 1 and High School Geometry to the Wyoming Mathematics Content Standards for Grade 11 1: Number Operations and Concepts Students use numbers, number sense, and number

More information

What is log a a equal to?

What is log a a equal to? How would you differentiate a function like y = sin ax? What is log a a equal to? How do you prove three 3-D points are collinear? What is the general equation of a straight line passing through (a,b)

More information

Hillel Academy. Grade 9 Mathematics End of Year Study Guide September June 2013

Hillel Academy. Grade 9 Mathematics End of Year Study Guide September June 2013 Hillel Academy Grade 9 Mathematics End of Year Study Guide September 2012 - June 2013 Examination Duration Date The exam consists of 2 papers: Paper 1: Paper 2: Short Response No Calculators Allowed Structured

More information

High School Geometry

High School Geometry High School Geometry This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular

More information

I can solve simultaneous equations algebraically and graphically. I can solve inequalities algebraically and graphically.

I can solve simultaneous equations algebraically and graphically. I can solve inequalities algebraically and graphically. B I can factorise and expand complex expressions. I can factorise Quadratics I can recognise the Difference of Two Squares (D.O.T.S) simultaneous equations algebraically and graphically. inequalities algebraically

More information

UNIT 5: GEOMETRIC AND ALGEBRAIC CONNECTIONS. Apply Geometric Concepts in Modeling Situations

UNIT 5: GEOMETRIC AND ALGEBRAIC CONNECTIONS. Apply Geometric Concepts in Modeling Situations UNIT 5: GEOMETRIC AND ALGEBRAIC CONNECTIONS This unit investigates coordinate geometry. Students look at equations for circles and use given information to derive equations for representations of these

More information

3.5 Day 1 Warm Up. Graph each line. 3.4 Proofs with Perpendicular Lines

3.5 Day 1 Warm Up. Graph each line. 3.4 Proofs with Perpendicular Lines 3.5 Day 1 Warm Up Graph each line. 1. y = 4x 2. y = 3x + 2 3. y = x 3 4. y = 4 x + 3 3 November 2, 2015 3.4 Proofs with Perpendicular Lines Geometry 3.5 Equations of Parallel and Perpendicular Lines Day

More information

Content Skills Assessments Lessons

Content Skills Assessments Lessons Teacher: CORE GEOMETRY Year: 2012-13 Course: GEOMETRY Month: All Months S e p t e m b e r Basic Terminology draw and measure two and threedimensional investigate and analyze two and threedimensional Am

More information

Unit 1, Lesson 1: Moving in the Plane

Unit 1, Lesson 1: Moving in the Plane Unit 1, Lesson 1: Moving in the Plane Let s describe ways figures can move in the plane. 1.1: Which One Doesn t Belong: Diagrams Which one doesn t belong? 1.2: Triangle Square Dance m.openup.org/1/8-1-1-2

More information

Please do NOT use a calculator unless problem is marked with an asterisk. (*) SHOW work for all problems, including calculator-permitted ones!

Please do NOT use a calculator unless problem is marked with an asterisk. (*) SHOW work for all problems, including calculator-permitted ones! Please do NOT use a calculator unless problem is marked with an asterisk. (*) ASMT 31: see Oct 2018 Calendar (on Weebly) for due dates Review Les 3.7 3.8; Study for QUIZ 4 Wednesday (over Les 3.3 3.7)

More information

Introduction to Geometry

Introduction to Geometry Introduction to Geometry This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (211 topics + 6 additional topics)

More information

To classify polygons in the coordinate plane

To classify polygons in the coordinate plane 6-7 Polgons in the oordinate Plane ontent Standard G.GP.7 Use coordinates to compute perimeters of polgons... bjective o classif polgons in the coordinate plane ppl what ou learned - about classifing polgons.

More information

Section Graphs and Lines

Section Graphs and Lines Section 1.1 - Graphs and Lines The first chapter of this text is a review of College Algebra skills that you will need as you move through the course. This is a review, so you should have some familiarity

More information

Grade 10 Academic Course Outline - Revised Feb Unit 1: Linear Systems (15 days)

Grade 10 Academic Course Outline - Revised Feb Unit 1: Linear Systems (15 days) Grade 10 Academic Course Outline - Revised Feb. 2014. Unit 1: Linear Systems (15 days) TOPICS METHODOLOGY 1 Communication Activity Activities in pairs Overhead diagrams Or Preparedness formative Quiz 2

More information

VideoText Interactive

VideoText Interactive VideoText Interactive Homeschool and Independent Study Sampler Print Materials for Geometry: A Complete Course Unit I, Part B, Lesson 1 Undefined Terms ------------------------------------------ Course

More information

S56 (5.3) Higher Straight Line.notebook June 22, 2015

S56 (5.3) Higher Straight Line.notebook June 22, 2015 Daily Practice 5.6.2015 Q1. Simplify Q2. Evaluate L.I: Today we will be revising over our knowledge of the straight line. Q3. Write in completed square form x 2 + 4x + 7 Q4. State the equation of the line

More information

Geometry Foundations Planning Document

Geometry Foundations Planning Document Geometry Foundations Planning Document Unit 1: Chromatic Numbers Unit Overview A variety of topics allows students to begin the year successfully, review basic fundamentals, develop cooperative learning

More information

TYPES OF NUMBER P1 P2 P3 Learning Objective Understand place value in large numbers Add and subtract large numbers (up to 3 digits) Multiply and

TYPES OF NUMBER P1 P2 P3 Learning Objective Understand place value in large numbers Add and subtract large numbers (up to 3 digits) Multiply and TYPES OF NUMBER P1 P2 P3 Understand place value in large numbers Add and subtract large numbers (up to 3 digits) Multiply and divide large numbers (up to 3 by 2) Understand positive and negative integers

More information

5 and Parallel and Perpendicular Lines

5 and Parallel and Perpendicular Lines Ch 3: Parallel and Perpendicular Lines 3 1 Properties of Parallel Lines 3 Proving Lines Parallel 3 3 Parallel and Perpendicular Lines 3 Parallel Lines and the Triangle Angles Sum Theorem 3 5 The Polgon

More information

Math 6 Long Range Plans Bill Willis. Strand: NUMBER Develop number sense. Textbook: Math Makes Sense 6

Math 6 Long Range Plans Bill Willis. Strand: NUMBER Develop number sense. Textbook: Math Makes Sense 6 Math 6 Long Range Plans 2012-2013 Bill Willis Rationale: Based upon the mathematics program of studies, our learning environment will value and respect the diversity of students experiences and ways of

More information

Entrance Exam Wiskunde B

Entrance Exam Wiskunde B CENTRALE COMMISSIE VOORTENTAMEN WISKUNDE Entrance Exam Wiskunde B Date: 16 January 2015 Time: 13.30 16.30 Questions: 5 Please read the instructions below carefully before answering the questions. There

More information

Year 10 Mathematics General Program 2015

Year 10 Mathematics General Program 2015 Year 10 Mathematics General Program 2015 Week Content Statement Elaborations and Teaching Points Resources Assessments Term 1 1-4 Numbers and Powers (ACMNA231) Index notation and index laws 1 and 2 More

More information

Name: Period 2/3/2012 2/16/2012 PreAP

Name: Period 2/3/2012 2/16/2012 PreAP Name: Period 2/3/2012 2/16/2012 PreP UNIT 11: TRNSFORMTIONS I can define, identify and illustrate the following terms: Symmetry Line of Symmetry Rotational Symmetry Translation Symmetry Isometry Pre-Image

More information

Geometry Regents Lomac Date 3/2 due 3/4 Coordinate Plane: the power of right triangles

Geometry Regents Lomac Date 3/2 due 3/4 Coordinate Plane: the power of right triangles Geometry Regents Lomac 2015-2016 Date 3/2 due 3/4 Coordinate Plane: the power of right triangles 1 Name Per LO: I can find slopes and distances for pairs of points and use them to identify congruent segments

More information

About Graphing Lines

About Graphing Lines About Graphing Lines TABLE OF CONTENTS About Graphing Lines... 1 What is a LINE SEGMENT?... 1 Ordered Pairs... 1 Cartesian Co-ordinate System... 1 Ordered Pairs... 2 Line Segments... 2 Slope of a Line

More information

2.6 Distance and Midpoint Formulas

2.6 Distance and Midpoint Formulas .6. Distance and Midpoint Formulas www.ck1.org.6 Distance and Midpoint Formulas Learning Objectives Find the distance between two points in the coordinate plane. Find the missing coordinate of a point

More information

Marking Period 3. Marking Period 1. Marking Period 4. Marking Period 2. DEPARTMENT: Mathematics COURSE: Math 8. Week. Week. Week.

Marking Period 3. Marking Period 1. Marking Period 4. Marking Period 2. DEPARTMENT: Mathematics COURSE: Math 8. Week. Week. Week. DEPARTMENT: Mathematics COURSE: Math 8 Week Marking Period 1 Week Marking Period 3 1 Transformations & Similar Shapes 21 Functions & Algebra 2 Transformations & Similar Shapes 22 Functions & Algebra 3

More information

Grade 9 Curriculum Map

Grade 9 Curriculum Map Grade 9 Curriculum Map Unit Title (Time frame) Algebra 1 (4 Weeks) Topics in arithmetics Algebraic fractions Equations and Inequalities Formulae and Simultaneous equations (2 Standards IB Objectives Knowledge/Content

More information

Student Name: Teacher: Date: Miami-Dade County Public Schools. Test: 9_12 Mathematics Geometry Exam 2

Student Name: Teacher: Date: Miami-Dade County Public Schools. Test: 9_12 Mathematics Geometry Exam 2 Student Name: Teacher: Date: District: Miami-Dade County Public Schools Test: 9_12 Mathematics Geometry Exam 2 Description: GEO Topic 5: Quadrilaterals and Coordinate Geometry Form: 201 1. If the quadrilateral

More information

Middle School Math Course 3 Correlation of the ALEKS course Middle School Math 3 to the Illinois Assessment Framework for Grade 8

Middle School Math Course 3 Correlation of the ALEKS course Middle School Math 3 to the Illinois Assessment Framework for Grade 8 Middle School Math Course 3 Correlation of the ALEKS course Middle School Math 3 to the Illinois Assessment Framework for Grade 8 State Goal 6: Number Sense 6.8.01: 6.8.02: 6.8.03: 6.8.04: 6.8.05: = ALEKS

More information

CCGPS UNIT 5 Semester 2 COORDINATE ALGEBRA Page 1 of 38. Transformations in the Coordinate Plane

CCGPS UNIT 5 Semester 2 COORDINATE ALGEBRA Page 1 of 38. Transformations in the Coordinate Plane CCGPS UNIT 5 Semester 2 COORDINATE ALGEBRA Page 1 of 38 Transformations in the Coordinate Plane Name: Date: MCC9-12.G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line,

More information

Linby Primary School Targets Ladder. Linby Primary School Targets Ladder

Linby Primary School Targets Ladder. Linby Primary School Targets Ladder Target Sheet 1a I can read numbers to 10 (1, 2, 3 etc) written as digits 1,2,3,.Make sure you can do this out of order (5, 9, 2) I can count up to 10 objects accurately and consistently. (Both things that

More information

Unit 3 Higher topic list

Unit 3 Higher topic list This is a comprehensive list of the topics to be studied for the Edexcel unit 3 modular exam. Beside the topics listed are the relevant tasks on www.mymaths.co.uk that students can use to practice. Logon

More information

Geometry: Unit 1: Transformations. Chapter 14 (In Textbook)

Geometry: Unit 1: Transformations. Chapter 14 (In Textbook) Geometry: Unit 1: Transformations Chapter 14 (In Textbook) Transformations Objective: Students will be able to do the following, regarding geometric transformations. Write Transformations Symbolically

More information

Unit 3. Chapter 1. Foundations of Geometry. Name. Hour

Unit 3. Chapter 1. Foundations of Geometry. Name. Hour Unit 3 Chapter 1 Foundations of Geometry Name Hour 1 Geometry Unit 3 Foundations of Geometry Chapter 1 Monday October 1 Tuesday October 2 1.1 Understanding Points, Lines, & Planes 1.2 Linear Measure DHQ

More information

Fall Semester Exam Review Part 2

Fall Semester Exam Review Part 2 Name Teacher Class Period all Semester Exam Review Part 2 26 Triangle KL is on the coordinate grid below. 28 Line Segment RS is shown on the coordinate grid below. What is the slope of the altitude from

More information

YEAR 7 MATHS SCHEMES OF WORK

YEAR 7 MATHS SCHEMES OF WORK YEAR 7 MATHS SCHEMES OF WORK 2018-19 Autumn Term (September-December) SOW: We follow the STP Mathematics course in year 7, published by Oxford University Press. fanez@al-ashraf.gloucs.sch.uk Unit Topic

More information

Rational Numbers: Graphing: The Coordinate Plane

Rational Numbers: Graphing: The Coordinate Plane Rational Numbers: Graphing: The Coordinate Plane A special kind of plane used in mathematics is the coordinate plane, sometimes called the Cartesian plane after its inventor, René Descartes. It is one

More information