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

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

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:

(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.

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

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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