Math Lesson Plan for Grade 10

Grade – 10

1 Day/Week

2 Day/Week

3 Day/Week

5 Day/Week

1st Week(Sept)

Algebra review

1. Ratios and proportions

2. Scale drawings: word problems

Algebra review

1. Ratios and proportions

2. Scale drawings: word problems

3. Number sequences

4. Shape patterns 

Algebra review

1. Ratios and proportions

2. Scale drawings: word problems

3. Number sequences

4. Shape patterns 

5. Properties of exponents

6. Simplify radical expressions

Algebra review

1. Ratios and proportions

2. Scale drawings: word problems

3. Number sequences

4. Shape patterns 

5. Properties of exponents

6. Simplify radical expressions

7. Write variable expressions

8. Solve linear equations… etc.

2nd Week(Sept)

Points, lines, line segments, and planes

1. Lines, line segments, and rays

2. Properties of planes, lines, and points

Points, lines, line segments, and planes

1. Lines, line segments, and rays

2. Properties of planes, lines, and points

3. Describe intersections in a plane

4. Lengths of segments on number lines

Points, lines, line segments, and planes

1. Lines, line segments, and rays

2. Properties of planes, lines, and points

3. Describe intersections in a plane

4. Lengths of segments on number lines

5. Additive property of length

6. Midpoints

Points, lines, line segments, and planes

1. Lines, line segments, and rays

2. Properties of planes, lines, and points

3. Describe intersections in a plane

4. Lengths of segments on number lines

5. Additive property of length

6. Midpoints

7.Congruent line segments

8. Construct a congruent segment … etc.

3rd Week(Sept)

Angles

1. Angle vocabulary 

2. Angle measures

Angles

1. Angle vocabulary 

2. Angle measures

3. Identify complementary, supplementary, vertical, adjacent, and congruent angles

4. Find measures of complementary, supplementary, vertical, and adjacent angles 

Angles

1. Angle vocabulary 

2. Angle measures

3. Identify complementary, supplementary, vertical, adjacent, and congruent angles

4. Find measures of complementary, supplementary, vertical, and adjacent angles 

5. Angle diagrams: solve for the variable

6. Angle bisectors

Angles

1. Angle vocabulary 

2. Angle measures

3. Identify complementary, supplementary, vertical, adjacent, and congruent angles

4. Find measures of complementary, supplementary, vertical, and adjacent angles 

5. Angle diagrams: solve for the variable

6. Angle bisectors

7. Construct an angle bisector 

8. Construct a congruent angle … etc.

4th Week(Sept)

Test

Test

Test

Test

Grade – 10

1 Day/Week

2 Day/Week

3 Day/Week

5 Day/Week

1st Week(Oct)

Parallel and perpendicular lines

1. Identify parallel, intersecting, and skew lines and planes

2. Construct a perpendicular line

Parallel and perpendicular lines

1. Identify parallel, intersecting, and skew lines and planes

2. Construct a perpendicular line

3. Transversals: name angle pairs

4. Transversals of parallel lines: find angle measures

Parallel and perpendicular lines

1. Identify parallel, intersecting, and skew lines and planes

2. Construct a perpendicular line

3. Transversals: name angle pairs

4. Transversals of parallel lines: find angle measures

5. Transversals of parallel lines: solve for x

6. Construct parallel lines

Parallel and perpendicular lines

1. Identify parallel, intersecting, and skew lines and planes

2. Construct a perpendicular line

3. Transversals: name angle pairs

4. Transversals of parallel lines: find angle measures

5. Transversals of parallel lines: solve for x

6. Construct parallel lines

7. Proofs involving parallel lines I 

8. Proofs involving parallel lines II 

… etc.

2nd Week(Oct)

Lines in the coordinate plane

1. Coordinate plane review

2. Slopes of lines

Lines in the coordinate plane

1. Coordinate plane review

2. Slopes of lines

3. Graph a linear equation 

4. Equations of lines

Lines in the coordinate plane

1. Coordinate plane review

2. Slopes of lines

3. Graph a linear equation 

4. Equations of lines

5. Slopes of parallel and perpendicular lines

6. Equations of parallel and perpendicular lines 

Lines in the coordinate plane

1. Coordinate plane review

2. Slopes of lines

3. Graph a linear equation 

4. Equations of lines

5. Slopes of parallel and perpendicular lines

6. Equations of parallel and perpendicular lines 

7. Find the distance between a point and a line 

8. Find the distance between two parallel lines … etc.

3rd Week(Oct)

Introduction to triangles

1. Classify triangles

Introduction to triangles

1. Classify triangles

2. Triangle 

Introduction to triangles

1. Classify triangles

2. Triangle Angle-Sum Theorem 

3. Exterior Angle Theorem

Introduction to triangles

1. Classify triangles

2. Triangle Angle-Sum Theorem 

3. Exterior Angle Theorem

4. Exterior Angle Inequality … etc

4th Week(Oct)

Test

Test

Test

Test

Grade – 10

1 Day/Week

2 Day/Week

3 Day/Week

5 Day/Week

1st Week(Nov)

Two-dimensional figures

1. Polygon vocabulary

2. Interior angles of polygons 

Two-dimensional figures

1. Polygon vocabulary

2. Interior angles of polygons 

3. Exterior angles of polygons 

Two-dimensional figures

1. Polygon vocabulary

2. Interior angles of polygons 

3. Exterior angles of polygons 

4. Review: interior and exterior angles of polygons 

Two-dimensional figures

1. Polygon vocabulary

2. Interior angles of polygons 

3. Exterior angles of polygons 

4. Review: interior and exterior angles of polygons 

5. Construct an equilateral triangle or regular hexagon 

6. Construct a square …etc.

2nd Week(Nov)

Three-dimensional figures

1. Parts of three-dimensional figures

Three-dimensional figures

1. Parts of three-dimensional figures

2.Three-dimensional figure vocabulary

Three-dimensional figures

1. Parts of three-dimensional figures

2.Three-dimensional figure vocabulary

3. Nets and drawings of three-dimensional figures

Three-dimensional figures

1. Parts of three-dimensional figures

2.Three-dimensional figure vocabulary

3. Nets and drawings of three-dimensional figures

4. Cross sections of three-dimensional figures 

5. Solids of revolution … etc.

3rd Week(Nov)

Logic

1. Identify hypotheses and conclusions

2. Counterexamples

Logic

1. Identify hypotheses and conclusions

2. Counterexamples

3. Conditionals 

4. Negations 

Logic

1. Identify hypotheses and conclusions

2. Counterexamples

3. Conditionals 

4. Negations 

5. Converses, inverses, and contrapositives 

6. Biconditionals

Logic

1. Identify hypotheses and conclusions

2. Counterexamples

3. Conditionals 

4. Negations 

5. Converses, inverses, and contrapositives 

6. Biconditionals

7. Truth tables

8. Truth values … etc.

4th Week(Nov)

Test

Test

Test

Test

Grade – 10

1 Day/Week

2 Day/Week

3 Day/Week

5 Day/Week

1st Week(March)

Introduction to congruent figures

1. Congruence statements 

Introduction to congruent figures

1. Congruence statements and corresponding parts

Introduction to congruent figures

1. Congruence statements and corresponding parts

2. Solve problems involving corresponding parts

Introduction to congruent figures

1. Congruence statements and corresponding parts

2. Solve problems involving corresponding parts

3. Identify congruent figures … etc.

2nd Week(March)

Congruent triangles

1. SSS and SAS Theorems

2. Proving triangles congruent by SSS and SAS 

Congruent triangles

1. SSS and SAS Theorems

2. Proving triangles congruent by SSS and SAS 

3. ASA and AAS Theorems

4. Proving triangles congruent by ASA and AAS 

Congruent triangles

1. SSS and SAS Theorems

2. Proving triangles congruent by SSS and SAS 

3. ASA and AAS Theorems

4. Proving triangles congruent by ASA and AAS 

5. SSS, SAS, ASA, and AAS Theorems

6. SSS Theorem in the coordinate plane

Congruent triangles

1. SSS and SAS Theorems

2. Proving triangles congruent by SSS and SAS 

3. ASA and AAS Theorems

4. Proving triangles congruent by ASA and AAS 

5. SSS, SAS, ASA, and AAS Theorems

6. SSS Theorem in the coordinate plane

7. Proving triangles congruent by SSS, SAS, ASA, and AAS 

8. Proofs involving corresponding parts of congruent triangles … etc.

3rd Week(March)

Transformations

1. Classify congruence transformations

2. Translations: graph the image 

Transformations

1. Classify congruence transformations

2. Translations: graph the image 

3. Translations: find the coordinates 

4. Translations: write the rule

Transformations

1. Classify congruence transformations

2. Translations: graph the image 

3. Translations: find the coordinates 

4. Translations: write the rule

5. Reflections: graph the image 

6. Reflections: find the coordinates 

Transformations

1. Classify congruence transformations

2. Translations: graph the image 

3. Translations: find the coordinates 

4. Translations: write the rule

5. Reflections: graph the image 

6. Reflections: find the coordinates 

7. Rotate polygons about a point

8. Rotations: graph the image… etc.

Grade – 10

1 Day/Week

2 Day/Week

3 Day/Week

5 Day/Week

1st Week(April)

Triangles

1. Midsegments of triangles

2. Triangles and bisectors 

Triangles

1. Midsegments of triangles

2. Triangles and bisectors 

3. Identify medians, altitudes, angle bisectors, and perpendicular bisectors

4. Angle-side relationships in triangles 

Triangles

1. Midsegments of triangles

2. Triangles and bisectors 

3. Identify medians, altitudes, angle bisectors, and perpendicular bisectors

4. Angle-side relationships in triangles 

5. Triangle Inequality Theorem 

6. Construct the circumcenter or incenter of a triangle

Triangles

1. Midsegments of triangles

2. Triangles and bisectors 

3. Identify medians, altitudes, angle bisectors, and perpendicular bisectors

4. Angle-side relationships in triangles 

5. Triangle Inequality Theorem 

6. Construct the circumcenter or incenter of a triangle

7. Construct the centroid or orthocenter of a triangle

8. Find the centroid of a triangle … etc.

2nd Week(April)

Quadrilaterals

1. Identify trapezoids

2. Classify quadrilaterals I

Quadrilaterals

1. Identify trapezoids

2. Classify quadrilaterals I

3. Classify quadrilaterals II 

4. Find missing angles in quadrilaterals

Quadrilaterals

1. Identify trapezoids

2. Classify quadrilaterals I

3. Classify quadrilaterals II 

4. Find missing angles in quadrilaterals

5. Graph quadrilaterals 

6. Properties of parallelograms

Quadrilaterals

1. Identify trapezoids

2. Classify quadrilaterals I

3. Classify quadrilaterals II 

4. Find missing angles in quadrilaterals

5. Graph quadrilaterals 

6. Properties of parallelograms

7. Proving a quadrilateral is a parallelogram

8. Properties of rhombuses… etc.

3rd Week(April)

Symmetry

1. Line symmetry

Symmetry

1. Line symmetry

2. Rotational symmetry

Symmetry

1. Line symmetry

2. Rotational symmetry

3. Draw lines of symmetry 

Symmetry

1. Line symmetry

2. Rotational symmetry

3. Draw lines of symmetry 

4. Count lines of symmetry … etc.

Grade – 10

1 Day/Week

2 Day/Week

3 Day/Week

5 Day/Week

1st Week(May)

Similarity

1. Similarity ratios

2. Similarity statements

Similarity

1. Similarity ratios

2. Similarity statements

3. Identify similar figures 

4. Side lengths and angle measures in similar figures

Similarity

1. Similarity ratios

2. Similarity statements

3. Identify similar figures 

4. Side lengths and angle measures in similar figures

5. Similar triangles and indirect measurement

6. Perimeters of similar figures

Similarity

1. Similarity ratios

2. Similarity statements

3. Identify similar figures 

4. Side lengths and angle measures in similar figures

5. Similar triangles and indirect measurement

6. Perimeters of similar figures

7. Angle-angle criterion for similar triangles 

8. Similarity rules for triangles… etc.

2nd Week(May)

Pythagorean theorem

1. Pythagorean theorem

Pythagorean theorem

1. Pythagorean theorem

2. Prove the Pythagorean theorem 

Pythagorean theorem

1. Pythagorean theorem

2. Prove the Pythagorean theorem 

3. Converse of the Pythagorean theorem

Pythagorean theorem

1. Pythagorean theorem

2. Prove the Pythagorean theorem 

3. Converse of the Pythagorean theorem

4. Pythagorean Inequality Theorems … etc

3rd Week(May)

Trigonometry

1. Trigonometric ratios: sin, cos, and tan 

2. Trigonometric ratios: csc, sec, and cot 

Trigonometry

1. Trigonometric ratios: sin, cos, and tan 

2. Trigonometric ratios: csc, sec, and cot 

3. Trigonometric ratios in similar right triangles

4. Special right triangles 

Trigonometry

1. Trigonometric ratios: sin, cos, and tan 

2. Trigonometric ratios: csc, sec, and cot 

3. Trigonometric ratios in similar right triangles

4. Special right triangles 

5. Find trigonometric functions of special angles

6. Solve a special right triangle

Trigonometry

1. Trigonometric ratios: sin, cos, and tan 

2. Trigonometric ratios: csc, sec, and cot 

3. Trigonometric ratios in similar right triangles

4. Special right triangles 

5. Find trigonometric functions of special angles

6. Solve a special right triangle

7. Find trigonometric functions using a calculator

8. Sine and cosine of complementary angles …  etc.

Grade – 10

1 Day/Week

2 Day/Week

3 Day/Week

5 Day/Week

1st Week(June)

More on Trigonometry

9. Inverses of trigonometric functions

10. Trigonometric ratios: find a side length

More on Trigonometry

9. Inverses of trigonometric functions

10. Trigonometric ratios: find a side length

11. Trigonometric ratios: find an angle measure

12. Solve a right triangle

More on Trigonometry

9. Inverses of trigonometric functions

10. Trigonometric ratios: find a side length

11. Trigonometric ratios: find an angle measure

12. Solve a right triangle

13. Law of Sines 

14. Law of Cosines 

More on Trigonometry

9. Inverses of trigonometric functions

10. Trigonometric ratios: find a side length

11. Trigonometric ratios: find an angle measure

12. Solve a right triangle

13. Law of Sines 

14. Law of Cosines 

15. Solve a triangle 

16. Area of a triangle: sine formula … etc.

2nd Week(June)

Area and perimeter

1. Perimeter

2. Area of rectangles and squares

Area and perimeter

1. Perimeter

2. Area of rectangles and squares

3. Area of parallelograms and triangles

4. Area of trapezoids

Area and perimeter

1. Perimeter

2. Area of rectangles and squares

3. Area of parallelograms and triangles

4. Area of trapezoids

5. Area of rhombuses

6. Area and perimeter in the coordinate plane I

Area and perimeter

1. Perimeter

2. Area of rectangles and squares

3. Area of parallelograms and triangles

4. Area of trapezoids

5. Area of rhombuses

6. Area and perimeter in the coordinate plane I

7. Area and perimeter in the coordinate plane II

8. Area and circumference of circles … etc.

3rd Week(June)

Surface area and volume

1. Surface area and volume of rectangular prisms

2. Surface area of prisms and cylinders

Surface area and volume

1. Surface area and volume of rectangular prisms

2. Surface area of prisms and cylinders

3. Surface area of pyramids and cones

4. Surface area of spheres

Surface area and volume

1. Surface area and volume of rectangular prisms

2. Surface area of prisms and cylinders

3. Surface area of pyramids and cones

4. Surface area of spheres

5. Volume of prisms and cylinders

6. Volume of pyramids and cones

Surface area and volume

1. Surface area and volume of rectangular prisms

2. Surface area of prisms and cylinders

3. Surface area of pyramids and cones

4. Surface area of spheres

5. Volume of prisms and cylinders

6. Volume of pyramids and cones

7. Volume of spheres

8. Volume of compound figures …etc

Grade – 10

1 Day/Week

2 Day/Week

3 Day/Week

5 Day/Week

1st Week(July)

Circles

1. Parts of a circle

2. Central angles and arc measures

Circles

1. Parts of a circle

2. Central angles and arc measures

3. Understand arc length and sector area of a circle

4. Arc length 

Circles

1. Parts of a circle

2. Central angles and arc measures

3. Understand arc length and sector area of a circle

4. Arc length 

5. Convert between radians and degrees

6. Radians and arc length

Circles

1. Parts of a circle

2. Central angles and arc measures

3. Understand arc length and sector area of a circle

4. Arc length 

5. Convert between radians and degrees

6. Radians and arc length

7. Area of sectors 

8. Circle measurements: mixed review… etc.

2nd Week(July)

Circles and parabolas in the coordinate plane

1. Find the center of a circle 

2. Find the radius or diameter of a circle 

Circles and parabolas in the coordinate plane

1. Find the center of a circle 

2. Find the radius or diameter of a circle 

3. Determine if a point lies on a circle

4. Write equations of circles in standard form from graphs 

Circles and parabolas in the coordinate plane

1. Find the center of a circle 

2. Find the radius or diameter of a circle 

3. Determine if a point lies on a circle

4. Write equations of circles in standard form from graphs 

5. Write equations of circles in standard form using properties 

6. Convert equations of circles from general to standard form 

Circles and parabolas in the coordinate plane

1. Find the center of a circle 

2. Find the radius or diameter of a circle 

3. Determine if a point lies on a circle

4. Write equations of circles in standard form from graphs 

5. Write equations of circles in standard form using properties 

6. Convert equations of circles from general to standard form 

7. Find properties of circles from equations in general form 

8. Graph circles from equations in standard form  … etc.

3rd Week(July)

Measurement

1. Convert rates and measurements: customary units

2. Convert rates and measurements: metric units 

Measurement

1. Convert rates and measurements: customary units

2. Convert rates and measurements: metric units 

3. Convert square and cubic units of length

4. Precision

Measurement

1. Convert rates and measurements: customary units

2. Convert rates and measurements: metric units 

3. Convert square and cubic units of length

4. Precision

5. Greatest possible error 

6. Minimum and maximum area and volume

Measurement

1. Convert rates and measurements: customary units

2. Convert rates and measurements: metric units 

3. Convert square and cubic units of length

4. Precision

5. Greatest possible error 

6. Minimum and maximum area and volume

7. Percent error 

8. Percent error: area and volume … etc.

Grade – 10

1 Day/Week

2 Day/Week

3 Day/Week

5 Day/Week

1st Week(August)

Probability

1. Theoretical and experimental probability

2. Outcomes of compound events

Probability

1. Theoretical and experimental probability

2. Outcomes of compound events

3. Identify independent and dependent events

4. Probability of independent and dependent events

Probability

1. Theoretical and experimental probability

2. Outcomes of compound events

3. Identify independent and dependent events

4. Probability of independent and dependent events

5. Counting principle

6. Permutations

Probability

1. Theoretical and experimental probability

2. Outcomes of compound events

3. Identify independent and dependent events

4. Probability of independent and dependent events

5. Counting principle

6. Permutations

7. Permutation and combination notation

8. Find probabilities using combinations and permutations … etc.

2nd Week(August)

More on Probability

9. Find probabilities using two-way frequency tables

10. Identify independent events

More on Probability

9. Find probabilities using two-way frequency tables

10. Identify independent events

11. Find conditional probabilities

12. Independence and conditional probability

More on Probability

9. Find probabilities using two-way frequency tables

10. Identify independent events

11. Find conditional probabilities

12. Independence and conditional probability

13. Find conditional probabilities using two-way frequency tables

14. Geometric probability

More on Probability

9. Find probabilities using two-way frequency tables

10. Identify independent events

11. Find conditional probabilities

12. Independence and conditional probability

13. Find conditional probabilities using two-way frequency tables

14. Geometric probability

15. Find probabilities using the addition rule

Checkpoint skill

16. Checkpoint: Understand independence and conditional probability

3rd Week(August)

Vectors

1. Compass directions and vectors

2. Find the magnitude of a vector

Vectors

1. Compass directions and vectors

2. Find the magnitude of a vector

3. Find the component form of a vector

4. Find the component form of a vector given its magnitude and direction angle

Vectors

1. Compass directions and vectors

2. Find the magnitude of a vector

3. Find the component form of a vector

4. Find the component form of a vector given its magnitude and direction angle

5. Graph a resultant vector using the triangle method

6. Graph a resultant vector using the parallelogram method

Vectors

1. Compass directions and vectors

2. Find the magnitude of a vector

3. Find the component form of a vector

4. Find the component form of a vector given its magnitude and direction angle

5. Graph a resultant vector using the triangle method

6. Graph a resultant vector using the parallelogram method

7. Add vectors

8. Subtract vectors … etc.