Mr. Payne's Grade 10 Academic Math Class
Exam Schedule and Rules are found here
Final Exam: Areas of focus
Linear Systems, solving word problems, determining number of solutions
Analytic Geometry - midpoints, length of line segment,
Circle Equations and associated problems (check your notes)
Properties of quadrilaterals and proofs of the types (rhombus, parallelogram, square etc)
Determining first and second differences and the types of relation
Expanding and simplifying polynomial expressions
Factoring - common, simple, complex, diff squares, perfect squares
Graphing quadratic Relations (showing 5 points)
Converting between different forms of quadratic relations - standard form, vertex form, factored form
Determine equation from a graph
Solving Quadratic Equations by factoring and Quadratic Formula
Quadratic Word Problems
Similar Triangles - proofs and solving using ratios
Solving Right Triangles with SOACAHTOA - side lengths and angle measures
Cosine Law and Sine Law
January 18 and 21 - Course Summative - 2 Day - In class - Open Book
-Solving for the point of intersection for two linear equations
-Determining the equation of a line between two points.
-Solving a linear systems word problem
-Converting between different forms of Quadratic Equations
-Solving for the roots of a quadratic equation using Quadratic Formula (or factoring if you're persistent)
-Solving for an unknown side using Sine Law
January 11
Finish worksheets from January 10th and 11th.
Do page 356 10,11 as prep for quiz as well.
What's on the January 14 Quiz?
SOHCAHTOA Word problems - ex - "two-triangle" problems
Sine/Cosine laws
January 9
Page 367 6, 8, 10
Page 374 5, 7, 10 (hint - the largest angle is opposite the longest side)
What's on the January 14 Quiz?
SOHCAHTOA Word problems - ex - "two-triangle" problems
Sine/Cosine laws
January 8
Page 373 1 to 7
January 7
Exam Review materials handed out and are also on Moodle
Page 366 4,5,6,8,13
Sine Law and Cosine Law Quiz on Monday January 14
Course Summative January 18 and 21
December 20
Page 356 5,7,10,11,13
December 19
Trig and Similar Triangles Review Period
Page 380 1a,c
2,4b,5b,7b, 8b,9b,10b,11b
page 385 12,14,15
December 18
Finish 'Problems Requiring One Right Triangle' 1 to 6
Page 331 12, 13,1
Page 339 13
Page 345 10, 11
December 17
Page 331 7bdf,11
338 6bdf,10
344 6bdf,9
Course Summative - January 18 and 21, in-class
Quiz - January 14 - Sine Law and Cosine Law
Quiz - December 20 - Similar Triangles, Sine, Cosine, Tangent and word problems
December 14
Page 322 5 to 9, 12
Word problems sheet - 6 to 13. Full Solutions are on the moodle.
December 13 - Similar Triangles
Finish worksheet
Do page 322 1 to 4
December 12: Review of Angle Theorems, Basic triangle angle properties, equivalent ratios and equivalent fractions
Practice Page 315 1acdgj, 2acefhj, 3all, 4all
Success Quotation: There are people who make things happen, there are people who watch things happen, and there are people who wonder what happened. To be successful, you need to be a person who makes things happen."
James Lovell, Commander of Apollo 13 Moon Mission
What Concepts Are On The Test?
- Solve equations by factoring (all the factoring types are fair game)
- Solve equations with the Quadratic Formula
- Given a situation, create an equation and solve for x-intercepts
- Solve word problems (threshold type problems are fair game)
- Think of how the x-intercepts relate back to the original equation, including equations with two intercepts and one intercept
December 6
Page 301 3
Page 302 4aefh, 5
Page 304 7afh,10
December 5
Page 293 12,13,14,15
December 4
Page 292 (2,3,4,5,6)abde
Page 293 4,7,8,9,11
November 30
Page 282 1eg, 3bc, (4 to 6)acdf, 7aceg, 8abeh, (9 to 10)cd
Solving Equations Unit Test - TUESDAY DECEMBER 11
November 29
p 275 1,2a-d, (graph your results), 7,8,10,11
What's on the TEST?
- Given a table of values, calculate the first and second differences and determine if the relation is quadratic, linear or neither
- Given an equation, determine the vertex, equation of axis of symmetry (x=...), maximum or minimum value(y=..), stretch or compression factor, direction of opening
- Be able to convert an equation one form (Standard, Vertex, Factored) into any other form and extract information (vertex etc)
- Given an equation, graph it showing at least 5 calculated points
- Given a vertex and a point, determine the equation of the quadratic relation
- Given some transformations (stretches, compressions, reflections, shifts, write the equation in vertex form
- Analyze a word problem with given vertex form equation
- Solve word problems
- Given a description of a situation, create the equation that represents the situation and solve as required
- given an equation, list the transformations in the correct order
November 27
Period 1 - Do practice test - page 258-259 (disregard references to Domain and Range)
November 26
Period 1 - Finish Review Package
Period 2 - Do practice test - page 258-259 (disregard references to Domain and Range)
November 22
Period 1 - Page 236 14-17,20,22 and start MERT activity, start Unit Review package
Period 2 - Start Work on Unit Review package
November 21
Period 1 - Finish word problems sheet
Period 2 - Page 236 14-17,20,22 and start MERT activity
November 20 - Period 1 - Finish Complete the Square handout problems and text problems
Period 2 - Finish Questions 4 to 8 on the Word problem sheet - solutions are on the moodle
November 19 - Period 2 - Finish Quadratic Function Word Problems 1-6
Period 1 - Finish Complete the Square Handout problems
November 27 - Period 2 - Analyzing Quadratic Relations Unit Test
November 28 - Period 1 - Analyzing Quadratic Relations Test (Period 2 is Lit Blitz)
November 14 - Assessment - Sketching and describing transformations for y = ax2 + k (the 2 is 'squared')
November 19 - Quiz - Sketching and describing transformations for y = ax2 + k
November 12
Finish page 212 - 1 to 4
Do Page 214 6,7,10
November 9
Page 213 1acegi, 2, 3,4 (omit domain and range)
November 8
Download DESMOS onto your phone/tablet. App Store or Google Play Store
November 5 - Chapter Test - Page 180-181
November 2nd - Supplemental Unit Review package
November 1
page 176 11, 13, 14, 16, 19adgj, 22adf, 23ace
'Factoring Foldable" assignment due on November 7th by end of period.
(Same day as test). It is to be TYPED and neat and tidy. Handwritten product will not receive full communication marks.
This assignment was handed out on Tuesday October 30th and students were given this class time to start on it.
The school does not provide the materials for producing the final work product. Full marks can be gained on just
an 8.5x11" piece of paper, typewritten. This is NOT an art project.
Suggestion:
In Microsoft Word: Page Layout/Orientation -> Landscape
Page Layout/Column s -> 3
In Google Doc: File/Page Setup/ Landscape
Format/Columns -> choose the 3 column option
Just fill in the document with your information and examples as per the assignment specification.
You are handing in a HARDCOPY of your work. Not just a file.
Polynomials Unit Test Wednesday November 7th
Application of the Exponent Laws (remember anything to the power of 0 = 1)
Expanding algebraic expressions (FOIL)
Common Factoring
Factoring Simple Trinomials, Perfect Squares, Difference of Squares, Complex Trinomials, combinations of some/all types
factoring by GROUPING
Expressing Areas and Difference of Areas algebraically
Expressing solutions to word problems algebraically
October - 29
Complete 'Supplemental Test Practice Sheet' and Page 168 5,8,10
Page 150 #5
Area of figure problems, difference of areas
Page 151 6bcef
Page 157 7,8
page 163 #6
October 26
Finish first column of Factoring Complex Trinomials
Quiz - Factoring Simple trinomials - Tuesday October 30
October 19
Textbook Page 137 #(1,2,3,4,5)adgh, 8cf, 10
Finish Algebra review sheet
Have Expando card finished for next Thurday
October 18
Page 132 9ace, 10all
UNIT TEST MOVED TO WEDNESDAY OCTOBER 17
Test Concepts
Given a radius, determine the equation of a circle
Given the equation of the circle, determine the radius
Determine if a given point is on, inside or outside the provided circle's equation
Calculate the distance between two points
Calculate the midpoint between two points
Given the vertices of a triangle, determine the medians, altitudes, perpendicular bisectors (right bisectors) of the various sides of the triangle
Given a triangle or quadrilateral, prove required properties and/or determine the type of figure using slopes, side lengths, midpoints as appropriate.
Determine the shortest distance from a point to a line
REMEMBER WHAT 'EXACT FORM' MEANS - if you're calculating a distance or radius and the question asks for exact form, leave the answer as a square root if
it's not a non-repeating decimal result.
October 16
Page 116 1 to 16
October 15
Page 114 14,17,21,23aef,24c
October 12
Includes from October 11
page 112 1ace, 2,3bd,4,5,7,8acd,9,12
Do as much as you need to feel confident in the concepts
In class assignment on Classifying Quadrilaterals - October 12
Unit Test on Analytic Geometry - Thursday October 18
October 4
Period 1 - Practice Sheet part A - Medians
Period 2 - Practice Sheet parts B and C - Perpendicular Bisecotrs and altitudes
October 3
Period 1 - finish practice Equations of Lines sheet
Period 2 - Do Median Question (a) - 3 medians of triangle ABC
Oct 2
Finish Equations of Lines sheet
Page 87 1,2
Oct 1
Page 71 2-4ace, 16ab
Period 1 - Lit Blitz assembly
Period 1 will have assessment on Wednesday.
Period 2 have assessment October 2nd.
Sept 28
Page 78 2,4,5,6,7
Assessment on October 2nd - Calculate Length of a line segment, calculate midpoint of a line segment.
(for feedback only)
Test Hints:
-Look at equations and determine number of solutions based on m and b
-does a particular ordered pair(x,y) satisfy an equation
-Solve problems by elimination and substitution (variations - fractions, non-expanded binomials etc)
-Given a word problem, provide a complete solution
- do LS/RS check when required
- Set up a word problem solution but DO NOT SOLVE
Two 'LET' statements
Two equations
Know how to use the m = y-y1 formula may be useful. Look at the first few days of notes
x-x1
September 20
Page 22 #10, Page 31 #8, Page 32 #12, Problem sheet 10 to 15
September 19
Big Problem Set - 5 to 9 QUIZ TOMORROW Elimination and Substitution
September 18
Big Problem Set - 1 to 4 (answers are in [ ] at the bottom of each question)
September 17
Page 44 6,7, 10,10 and finish word problems from today's types in the package
September 14
Page 44 #4,5,8
page 45 #18
Quiz on Thursday the 20th - Elimination and Substitution Methods (rescheduled due to Yom Kippur)
Unit Test - Linear Systems Thursday September 27th
Solving by Graphing, Elimination, Substitution
Solving various kinds of word problems
September 13
Page 21 1,2,3bdfh,4aceg Assessment on Elimination and Substitution Tomorrrow
September 12
page 31 8, 9(just solve by elimination) and 12
September 11
page 31 5adeg, 6 a to e, 7 all-
September 10
page 12 1a to d, 2a to d, 3 aceg, 6 a to f
September 7th
lower half of sheet: 1cd, 2bd,3all, 4i, ii, 5all, try 6
Linear Systems, solving word problems, determining number of solutions
Analytic Geometry - midpoints, length of line segment,
Circle Equations and associated problems (check your notes)
Properties of quadrilaterals and proofs of the types (rhombus, parallelogram, square etc)
Determining first and second differences and the types of relation
Expanding and simplifying polynomial expressions
Factoring - common, simple, complex, diff squares, perfect squares
Graphing quadratic Relations (showing 5 points)
Converting between different forms of quadratic relations - standard form, vertex form, factored form
Determine equation from a graph
Solving Quadratic Equations by factoring and Quadratic Formula
Quadratic Word Problems
Similar Triangles - proofs and solving using ratios
Solving Right Triangles with SOACAHTOA - side lengths and angle measures
Cosine Law and Sine Law
January 18 and 21 - Course Summative - 2 Day - In class - Open Book
-Solving for the point of intersection for two linear equations
-Determining the equation of a line between two points.
-Solving a linear systems word problem
-Converting between different forms of Quadratic Equations
-Solving for the roots of a quadratic equation using Quadratic Formula (or factoring if you're persistent)
-Solving for an unknown side using Sine Law
January 11
Finish worksheets from January 10th and 11th.
Do page 356 10,11 as prep for quiz as well.
What's on the January 14 Quiz?
SOHCAHTOA Word problems - ex - "two-triangle" problems
Sine/Cosine laws
January 9
Page 367 6, 8, 10
Page 374 5, 7, 10 (hint - the largest angle is opposite the longest side)
What's on the January 14 Quiz?
SOHCAHTOA Word problems - ex - "two-triangle" problems
Sine/Cosine laws
January 8
Page 373 1 to 7
January 7
Exam Review materials handed out and are also on Moodle
Page 366 4,5,6,8,13
Sine Law and Cosine Law Quiz on Monday January 14
Course Summative January 18 and 21
December 20
Page 356 5,7,10,11,13
December 19
Trig and Similar Triangles Review Period
Page 380 1a,c
2,4b,5b,7b, 8b,9b,10b,11b
page 385 12,14,15
December 18
Finish 'Problems Requiring One Right Triangle' 1 to 6
Page 331 12, 13,1
Page 339 13
Page 345 10, 11
December 17
Page 331 7bdf,11
338 6bdf,10
344 6bdf,9
Course Summative - January 18 and 21, in-class
Quiz - January 14 - Sine Law and Cosine Law
Quiz - December 20 - Similar Triangles, Sine, Cosine, Tangent and word problems
December 14
Page 322 5 to 9, 12
Word problems sheet - 6 to 13. Full Solutions are on the moodle.
December 13 - Similar Triangles
Finish worksheet
Do page 322 1 to 4
December 12: Review of Angle Theorems, Basic triangle angle properties, equivalent ratios and equivalent fractions
Practice Page 315 1acdgj, 2acefhj, 3all, 4all
Success Quotation: There are people who make things happen, there are people who watch things happen, and there are people who wonder what happened. To be successful, you need to be a person who makes things happen."
James Lovell, Commander of Apollo 13 Moon Mission
What Concepts Are On The Test?
- Solve equations by factoring (all the factoring types are fair game)
- Solve equations with the Quadratic Formula
- Given a situation, create an equation and solve for x-intercepts
- Solve word problems (threshold type problems are fair game)
- Think of how the x-intercepts relate back to the original equation, including equations with two intercepts and one intercept
December 6
Page 301 3
Page 302 4aefh, 5
Page 304 7afh,10
December 5
Page 293 12,13,14,15
December 4
Page 292 (2,3,4,5,6)abde
Page 293 4,7,8,9,11
November 30
Page 282 1eg, 3bc, (4 to 6)acdf, 7aceg, 8abeh, (9 to 10)cd
Solving Equations Unit Test - TUESDAY DECEMBER 11
November 29
p 275 1,2a-d, (graph your results), 7,8,10,11
What's on the TEST?
- Given a table of values, calculate the first and second differences and determine if the relation is quadratic, linear or neither
- Given an equation, determine the vertex, equation of axis of symmetry (x=...), maximum or minimum value(y=..), stretch or compression factor, direction of opening
- Be able to convert an equation one form (Standard, Vertex, Factored) into any other form and extract information (vertex etc)
- Given an equation, graph it showing at least 5 calculated points
- Given a vertex and a point, determine the equation of the quadratic relation
- Given some transformations (stretches, compressions, reflections, shifts, write the equation in vertex form
- Analyze a word problem with given vertex form equation
- Solve word problems
- Given a description of a situation, create the equation that represents the situation and solve as required
- given an equation, list the transformations in the correct order
November 27
Period 1 - Do practice test - page 258-259 (disregard references to Domain and Range)
November 26
Period 1 - Finish Review Package
Period 2 - Do practice test - page 258-259 (disregard references to Domain and Range)
November 22
Period 1 - Page 236 14-17,20,22 and start MERT activity, start Unit Review package
Period 2 - Start Work on Unit Review package
November 21
Period 1 - Finish word problems sheet
Period 2 - Page 236 14-17,20,22 and start MERT activity
November 20 - Period 1 - Finish Complete the Square handout problems and text problems
Period 2 - Finish Questions 4 to 8 on the Word problem sheet - solutions are on the moodle
November 19 - Period 2 - Finish Quadratic Function Word Problems 1-6
Period 1 - Finish Complete the Square Handout problems
November 27 - Period 2 - Analyzing Quadratic Relations Unit Test
November 28 - Period 1 - Analyzing Quadratic Relations Test (Period 2 is Lit Blitz)
November 14 - Assessment - Sketching and describing transformations for y = ax2 + k (the 2 is 'squared')
November 19 - Quiz - Sketching and describing transformations for y = ax2 + k
November 12
Finish page 212 - 1 to 4
Do Page 214 6,7,10
November 9
Page 213 1acegi, 2, 3,4 (omit domain and range)
November 8
Download DESMOS onto your phone/tablet. App Store or Google Play Store
November 5 - Chapter Test - Page 180-181
November 2nd - Supplemental Unit Review package
November 1
page 176 11, 13, 14, 16, 19adgj, 22adf, 23ace
'Factoring Foldable" assignment due on November 7th by end of period.
(Same day as test). It is to be TYPED and neat and tidy. Handwritten product will not receive full communication marks.
This assignment was handed out on Tuesday October 30th and students were given this class time to start on it.
The school does not provide the materials for producing the final work product. Full marks can be gained on just
an 8.5x11" piece of paper, typewritten. This is NOT an art project.
Suggestion:
In Microsoft Word: Page Layout/Orientation -> Landscape
Page Layout/Column s -> 3
In Google Doc: File/Page Setup/ Landscape
Format/Columns -> choose the 3 column option
Just fill in the document with your information and examples as per the assignment specification.
You are handing in a HARDCOPY of your work. Not just a file.
Polynomials Unit Test Wednesday November 7th
Application of the Exponent Laws (remember anything to the power of 0 = 1)
Expanding algebraic expressions (FOIL)
Common Factoring
Factoring Simple Trinomials, Perfect Squares, Difference of Squares, Complex Trinomials, combinations of some/all types
factoring by GROUPING
Expressing Areas and Difference of Areas algebraically
Expressing solutions to word problems algebraically
October - 29
Complete 'Supplemental Test Practice Sheet' and Page 168 5,8,10
Page 150 #5
Area of figure problems, difference of areas
Page 151 6bcef
Page 157 7,8
page 163 #6
October 26
Finish first column of Factoring Complex Trinomials
Quiz - Factoring Simple trinomials - Tuesday October 30
October 19
Textbook Page 137 #(1,2,3,4,5)adgh, 8cf, 10
Finish Algebra review sheet
Have Expando card finished for next Thurday
October 18
Page 132 9ace, 10all
UNIT TEST MOVED TO WEDNESDAY OCTOBER 17
Test Concepts
Given a radius, determine the equation of a circle
Given the equation of the circle, determine the radius
Determine if a given point is on, inside or outside the provided circle's equation
Calculate the distance between two points
Calculate the midpoint between two points
Given the vertices of a triangle, determine the medians, altitudes, perpendicular bisectors (right bisectors) of the various sides of the triangle
Given a triangle or quadrilateral, prove required properties and/or determine the type of figure using slopes, side lengths, midpoints as appropriate.
Determine the shortest distance from a point to a line
REMEMBER WHAT 'EXACT FORM' MEANS - if you're calculating a distance or radius and the question asks for exact form, leave the answer as a square root if
it's not a non-repeating decimal result.
October 16
Page 116 1 to 16
October 15
Page 114 14,17,21,23aef,24c
October 12
Includes from October 11
page 112 1ace, 2,3bd,4,5,7,8acd,9,12
Do as much as you need to feel confident in the concepts
In class assignment on Classifying Quadrilaterals - October 12
Unit Test on Analytic Geometry - Thursday October 18
October 4
Period 1 - Practice Sheet part A - Medians
Period 2 - Practice Sheet parts B and C - Perpendicular Bisecotrs and altitudes
October 3
Period 1 - finish practice Equations of Lines sheet
Period 2 - Do Median Question (a) - 3 medians of triangle ABC
Oct 2
Finish Equations of Lines sheet
Page 87 1,2
Oct 1
Page 71 2-4ace, 16ab
Period 1 - Lit Blitz assembly
Period 1 will have assessment on Wednesday.
Period 2 have assessment October 2nd.
Sept 28
Page 78 2,4,5,6,7
Assessment on October 2nd - Calculate Length of a line segment, calculate midpoint of a line segment.
(for feedback only)
Test Hints:
-Look at equations and determine number of solutions based on m and b
-does a particular ordered pair(x,y) satisfy an equation
-Solve problems by elimination and substitution (variations - fractions, non-expanded binomials etc)
-Given a word problem, provide a complete solution
- do LS/RS check when required
- Set up a word problem solution but DO NOT SOLVE
Two 'LET' statements
Two equations
Know how to use the m = y-y1 formula may be useful. Look at the first few days of notes
x-x1
September 20
Page 22 #10, Page 31 #8, Page 32 #12, Problem sheet 10 to 15
September 19
Big Problem Set - 5 to 9 QUIZ TOMORROW Elimination and Substitution
September 18
Big Problem Set - 1 to 4 (answers are in [ ] at the bottom of each question)
September 17
Page 44 6,7, 10,10 and finish word problems from today's types in the package
September 14
Page 44 #4,5,8
page 45 #18
Quiz on Thursday the 20th - Elimination and Substitution Methods (rescheduled due to Yom Kippur)
Unit Test - Linear Systems Thursday September 27th
Solving by Graphing, Elimination, Substitution
Solving various kinds of word problems
September 13
Page 21 1,2,3bdfh,4aceg Assessment on Elimination and Substitution Tomorrrow
September 12
page 31 8, 9(just solve by elimination) and 12
September 11
page 31 5adeg, 6 a to e, 7 all-
September 10
page 12 1a to d, 2a to d, 3 aceg, 6 a to f
September 7th
lower half of sheet: 1cd, 2bd,3all, 4i, ii, 5all, try 6
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