MATHEMATICS RESOURCES
SENIOR HIGH
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Grade 10
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Grade 11
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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.
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.
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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.
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
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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.
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
Notes
Lesson 2
Lesson 3
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.
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.
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Additional Resource
Online Game
Online Game
Linear Graphs
Objectives
At the end of this lesson, students will:
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;)
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Graphing Linear Equations
Objectives
At the end of this lesson, students will:
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.
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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. |
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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. |
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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.
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.
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Additional Resource
Worksheet
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.
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
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.
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
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.
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.
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Lesson 3
Objective
At the end of this lesson, students will:
1) Use Pythagorean Theorem to solve real life problems.
At the end of this lesson, students will:
1) Use Pythagorean Theorem to solve real life problems.
Additional Resource
Worksheet
Worksheet
LESSON 1 - Circle Theorems
Objectives
At the end of this lesson, students will:
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Lesson 2
Lesson 3
Lesson 4
Additional Resources
Online Worksheet
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.
At the end of this lesson, students will:
1. Solve problems using the simple interest formula and problems involving comparative shopping.
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Lesson 2
Objectives:
At the end of this lesson, students will:
1. Solve BGCSE past paper questions involving simple interest and comparison shopping.
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.
At the end of this lesson, students will:
1. Define and identify trigonometric ratios.
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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.
At the end of this lesson, students will:
1. Apply the trigonometric ratios to calculate missing angles and length.
2. Solve word problems.
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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.
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.
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.
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
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
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Graphs of Linear
Objective
At the end of this lesson, students will:
Derive the equation of the line and graph linear equations.
At the end of this lesson, students will:
Derive the equation of the line and graph linear equations.
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LESSON 1 - Hire Purchase
Objectives
At the end of the lesson, students will:
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.
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LESSON 2 - Wages and Salaries
Objectives
At the end of the lesson, students will:
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.
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LESSON 4 - Increase and Decrease
Objective
At the end of the lesson, students will:
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LESSON 5 - Percentage Profit and Percentage Loss
Objective
At the end of the lesson, students will:
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Selling Price and Cost Price
Objective
At the end of the lesson, students will:
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Discount and Percentage
Objective
At the end of the lesson, students will:
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.
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