Grade 10 Applied

(Ontario Curriculum)

Numeracy Skills Lessons

1. Converting between decimals, fractions and percent ‍ ‍

2. Adding and Subtracting Fractions

3. Reducing Fractions into lower terms ‍ ‍

4. Multiplying Fractions

5. Dividing Fractions‍ ‍

6. Adding and Subtracting Integers‍ ‍

7. Multiplying and Dividing Integers‍ ‍

8. Working with Percent ‍ ‍

Numeracy Examples

• Multiplying and Dividing Fractions‍    ‍

• Multiplying and Dividing Fractions 2‍   ‍

• Dividing Fractions‍      ‍

• Adding Fractions‍    ‍

• Subtracting Fractions  

• Percent of a number‍      ‍

• Percent of a number 2‍     ‍

• Percent of a number 3‍  ‍

• Percent of a number 4

• Given a percent, find original number

• BEDMAS

• BEDMAS 2

• Common Calculator Error‍       ‍

Measurement Lessons

1. The Pythagorean Theorem

2. Perimeter and Area of common shapes

3. Area and Circumference of Circles

4. Surface Area and Volume of 3D shapes

Measurement Examples

• Pythagorean Theorem

• Perimeter

• Area

• Area and circumference of a circle

Algebra and Equations Lessons

1. Evaluating

2. Collecting Like Terms

3. Exponent Rules

4. Distributive Property

5. Multiplying Monomials

6. Expand and Simplify

7. Multiplying Binomials

8. Solving 1 Step Equations

9. Solving 2 Step Equations

10. Solving Equations with variables on both sides

11. Solving Equations that have Fractions

Algebra Examples

• Distributive Property

• Simplification

• FOIL

• Binomial Squared

• Binomial Expansion

• Basic Exponent Rules

• Expand and Simplify 1‍       ‍

• Expand and Simplify 2‍      ‍

• Expand and Simplify 3‍      ‍

• Expand and Simplify 4‍             ‍

• Expand and Simplify 5‍   ‍

• Exponent Rules

• Exponent Rules 2‍      ‍

• Exponent Rules 3‍  ‍

Equation Examples

• Solving Equation 1‍                                ‍

• Solving Equation 2

• Variables on both sides‍  ‍

• Variables on both sides 2‍  ‍

• Fraction Equation‍      ‍

• Fraction Equation 2‍      ‍

• Fraction Equation 3‍           ‍

• Fraction Equation 4‍       ‍

• Variables on both sides 2‍       ‍

• Using Angles‍    ‍

• Using Angles 2‍  ‍

• Multi-step Equation

Linear Relations Lessons

1. Linear vs Non-Linear

2. Direct vs Partial Variation

3. Determining the Slope

4. First Differences

5. Graphing y = mx+b

6. Determining the equation of a line when given 2 points

7. Finding the x and y intercepts

8. Determining the equation given the slope and y intercept

9. Parallel and Perpendicular Lines

10. Horizontal and Vertical Lines

11. Converting Ax + By + C into y=mx+b

12. Introduction to Linear Systems

13. Solving by Graphing

14. Introducing Substitution

15. How to solve by Substitution

16. Solving by Elimination

Linear Examples

• Find the Slope

• Find the Slope 2

• Point on a line‍     ‍

• Find y=mx+b‍      ‍

• Find y=mx+b (2)‍  ‍

• Find y=mx+b (3)

• Find y=mx+b (4)

• First Principles    

• Solving by Substitution

• Solving by Substitution 2

• Solving by Elimination‍     ‍

Trigonometry Lessons

1. Sine, Cosine and Tangent Ratios

Trigonometry Examples

• SOH-CAH-TOA‍           ‍

• Sine Ratio‍       ‍

• Cosine Ratio

• Tangent Ratio

• Similar Triangles

• Similar Triangles 2

Quadratics Lessons

1. Common Factoring

2. Difference of Squares

3. Factoring Complex Trinomials

4. Factoring by Grouping

5. Factoring Simple Trinomials

6. Solving Quadratics by factoring

7. Graphing Quadratics

8. Quadratic Formula

Quadratic Examples

• Difference of Squares

• Complex Trinomial

• Common Factoring

• More than one type of factoring

• Factoring by Grouping

• Solving quadratic by factoring‍           ‍

• Solve by factoring 2‍         ‍

• Solve by factoring 3‍       ‍

• Solve by factoring 4 ‍     ‍

• Solve by factoring 5‍       ‍

• Solve by factoring 6‍     ‍

• Solve by factoring 7‍      ‍

• Solve by factoring 8‍       ‍

• Solve by factoring 9‍       ‍

• Solving by factoring 10

• Quadratic Formula‍      ‍

• Quadratic Formula 2