MATHEMATICS RESOURCES
SENIOR HIGH
  • Grade 10
  • Grade 11
  • Grade 12
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​Algebra: Collecting Like Terms

Objectives:
At the end of this lesson, students will:
​1.Recognize like and unlike terms.
 2. Simplify algebraic expressions with one set of terms by identifying, collecting, and combining like terms using addition and subtraction.

​Algebra: Expanding Brackets

Objectives:
At the end of this lesson, students will:
1. Define the distributive property.​
2. Differentiate between like and unlike terms.​
3. Simplify expressions by removing the brackets and collecting like terms.​

Laws of Indicies

The Slope/Gradient of a Line

Objective
​At the end of the lesson, students will:
​Recall the definition and properties of the slope of a line.
Identify the two point formula for slope.
Apply the two point formula to determine the slope of a line.

Lesson 1

Additional Resources
Notes

Lesson 2

Additional Resources
Quizizz
​Notes

Lesson 3

Additional Resources
Online Game 
Notes

Linear Graphs

Objective
​At the end of the lesson, students will:
Demonstrate how to graph a linear equations by completing the table of values.
Define the slope of a line.
State the orientation of the slope.​
Additional Resource
​Online Game

Linear Graphs

Objectives
​At the end of this lesson, students will:
  • Recall how to label a coordinate grid.
  • Define a point and the properties of a point.  
  • Recall how to plot points on a coordinate grid.
  • Define linear graph.
  • Draw and identify lines parallel to the x and y axes. (y = a horizontal line,   x = b vertical line, where a and b are constants).
  • Draw and identify the identity linear functions. ( y = x  and   y = - x  oblique/'slanted' lines;)
Additional Resources
Online Game 1
Online Game 2
Additional Practice
Graph Paper

Graphing Linear Equations

Objectives
​At the end of this lesson, students will:
  • Recall the properties of a linear function.
  • Identify the slope-intercept form.
  • Complete a table of values.
  • Recall how to plot points on a coordinate grid.
  • Demonstrate how to complete a table of values.
  • Graph a linear equation using a table of values.
Additional Resources:
Online Activity
What is a Linear Function?

Graphs of Functions

Objectives: 
At the end of this lesson, the students will be able to: 
1) Review how to plot a line given:
a) a table of values 
b) slope and point.
2) Review how to calculate the slope/gradient of a line.
3) Identify a solution to a pair of linear equations.

​Graphs of Linear Functions

Objectives: 
At the end of this lesson, the students will be able to: 
1) Graph linear functions using:
a) a table of values
b) the intercepts
c) the slope and y - intercept.

Trigonometry 

​Trigonometric Ratios

Lesson 1

Objective
At the end of this lesson, students will:
1) Label the sides of a right angled triangle using the terms: hypotenuse, opposite and adjacent.
2) State the trigonometric ratios. 
Additional Resource
Worksheet

Lesson 2

Objective
At the end of this lesson, students will:
1) Use trigonometric ratios to calculate the length of a side of a right angled triangle.
Additional Resource
Worksheet

Pythagorean's Theorem

Lesson 1

Objective
At the end of this lesson, students will:
1) Label the sides of a right-angled triangle.
2) State Pythagorean's Theorem.
​3)Use Pythagorean's Theorem to find the length of the hypotenuse. ​
Additional Resource
Online Activity

Lesson 2

Objective
At the end of this lesson, students will:
1) Use Pythagorean Theorem to find the length of a short side of a right angled triangle.​
Additional Resource
Online Activity

Lesson 3

Objective
At the end of this lesson, students will:
1) Use Pythagorean Theorem to solve real life problems.​
Additional Resource
Worksheet

LESSON 1 - Circle Theorems

Objectives
At the end of this lesson, students will:
  • Define and identify the parts of the circle: circumference, centre, diameter, radius, chord, major/minor segment, major/minor arc and tangent.
  • Identify and apply the circle theorems: “Angle in a semi-circle”, “Angle formed by the radius and tangent” and “Angles in a cyclic quadrilateral”.
  • Identify and apply the circle theorems: a) “Angles at the centre and circumference”. b) “Angles in the same segment”.
  • Review how to apply circle theorems to find the measure of an angle.
  •  Review how to apply circle theorems to find the measure of an angle.
Additional Resources:
Online Activity 1
​Online Activity 2

Lesson 2

Resources:
Online Worksheet
​Online Worksheet

Lesson 3

Lesson 4

Additional Resources
Online Worksheet

​Simple Interest & Comparison Shopping

Lesson 1

Objectives:
At the end of this lesson, students will:
1. Solve problems using the simple interest formula and problems involving comparative shopping.

Lesson 2

Objectives:
At the end of this lesson, students will:
1. Solve BGCSE past paper questions involving simple interest and comparison shopping.

​Trigonometry

Lesson 1

Objectives:
At the end of this lesson, students will:
​1. Define and identify trigonometric ratios.

Lesson 2

Objectives:
At the end of this lesson, students will:
1. Apply the trigonometric ratios to calculate missing angles and length.
2. Solve word problems.​

Lesson 3

Objectives:
At the end of this lesson, students will:
1. Solve BGCSE past paper questions requiring Pythagoras' theorem and  trigonometric ratios to solve.​

Graphs of Quadratic Function

Objective
At the end of this lesson, students will:
1. Construct tables of values.
2. Draw graphs of quadratic equations.

Pythagoras Theorem

Objective
At the end of this lesson, students will:
Apply the theorem of Pythagoras to solve real-life problems.

Graphs of Functions

Objective
At the end of this lesson, students will:
(a) identify, label and number x and y axes
​b) draw and identify tyoes of lines
c) identify properties of linear functions

Graphs of Linear

Objective
​ At the end of this lesson, students will:
Derive the equation of the line and graph linear equations.

LESSON 1 - Hire Purchase

Objectives
​At the end of the lesson, students will:
  • Solve problems involving Hire Purchase and review the interpretation of a pie chart.
  • Solve BGCSE past paper questions involving hire purchase.

LESSON 2 - Wages and Salaries

Objectives
​At the end of the lesson, students will:
  • Solve problems  involving wages and salaries and review the number of elements in a given subset of two intersecting sets.
  • Solve BGCSE past paper questions involving wages and salaries.

LESSON 4 - Increase and Decrease

Objective
​At the end of the lesson, students will:
  • Increase and decrease a given quantity by a percentage.

LESSON 5 - Percentage Profit and Percentage Loss

Objective
​At the end of the lesson, students will:
  • Calculate the amount of profit/loss and the percentage profit and the percentage loss.

Selling Price and Cost Price

Objective
​At the end of the lesson, students will:
  • Calculate the selling price and cost price of an item.​

Discount and Percentage

Objective
​At the end of the lesson, students will:
  • Calculate the discount of an item., the sale price of an item given the discount and the percentage change.