MATH-G10

 

MATHEMATICS GRADE 10 (Q1 to Q4)

FIRST QUARTER

Measurement and Geometry (MG)

1. The laws of sines and the laws of cosines. 2. translations, reflections, and rotations, in the Cartesian plane.

2. translations, reflections, and rotations, in the Cartesian plane.

1. apply laws of sines in solving oblique triangles, including ambiguous cases.

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

 2. apply laws of cosines in solving oblique triangles. 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

3. describe the position of points in the Cartesian plane. 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

4. describe translations, reflections, and rotations, in the Cartesian plane using coordinates. 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

5. solve problems involving laws of sines and cosines, including bearings.

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

Number and Algebra (NA)

3. quadratic inequalities in one variable and in two variables. 

4. absolute value equations and inequalities in one variable and their graphs 

6. illustrate on the number line quadratic inequalities in one variable. 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

7. solve quadratic inequalities in one variable and expresses solutions in various notations. 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

8. solve problems involving quadratic inequalities in one variable. 

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9. solve quadratic inequalities in two variables. 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

10. determine the region of solutions of a linear or quadratic inequality in two variables. 

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11. solve absolute value equations in one variable and express solutions in various notations).

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                                    ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP 

12. solve absolute value inequalities in one variable and express solutions in various notations

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

RE TEST                            POST TEST

Q1 PERIODICAL TEST WITH ANSWER KEY WITH TOS SET A

Q1 PERIODICAL TEST WITH ANSWER KEY WITH TOS SET B

Q1 PERIODICAL TEST WITH ANSWER KEY WITH TOS SET C

SECOND QUARTER

Data and Probability (DP)

1.Box-and-whisker plots, and cumulative frequency histograms and polygons. 

2. Quartiles, deciles, and percentiles; interquartile range, and outliers.

1. Illustrate measures of position (quartiles, deciles, and percentiles). 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

2. Construct and interpret box-and-whisker plots and cumulative frequency histograms and polygons. 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

DOWNLOAD VIDEO             SLIDE            MODULE 1 - 2 - 3

ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

3. Calculate a specified measure of position, interquartile range, and outliers, from ungrouped data.

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                                ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP 

DOWNLOAD VIDEO             SLIDE            MODULE 1 - 2 - 3

                                

                                ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP 

4. Calculate the percentile rank of a given score from ungrouped data. 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

5. Draw conclusions from statistical data using the measures of position.

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

Number and Algebra (NA)

3. Radical expressions. 

4. The roots of a quadratic equation. 

5. Quadratic functions. 

6. Equations reducible to quadratic equations.

6. Illustrate the laws of rational non-integral exponents.

 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

7. Simplify radical expressions. 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

8. Perform operations involving radical expressions, including rationalizing the denominator. 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

9. Determine the nature of roots of a quadratic equation using the discriminant. 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

10. Determine the equation of a quadratic function given: a. a table of values b. its graph, and c. its zeros. 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

11. Solve equations reducible to quadratic equations, e.g., 𝑥 4 −5𝑥 2 + 4 = 0.

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

12. Solve problems involving quadratic functions. 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

13. Solve radical equations, including equations reducible to linear or quadratic equations.

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

PRE TEST                            POST TEST

Q2 PERIODICAL TEST WITH ANSWER KEY WITH TOS SET A

Q2 PERIODICAL TEST WITH ANSWER KEY WITH TOS SET B

Q2 PERIODICAL TEST WITH ANSWER KEY WITH TOS SET C

THIRD QUARTER

DOWNLOAD: LESSON/S COURSE OUTLINE Q3

Number and Algebra (NA) 

1. Equation of a circle and the graph of a circle.

1. Transform the equation of a circle from center-radius form to general form, and vice versa. 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

2. Determine the center and the radius of a circle from a given equation. 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

3. Sketch the graph of a circle given its equation. 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

4. Find the equation of a circle from given conditions, e.g., given two points as the endpoints of a diameter. 

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5. Solve problems involving geometric figures on the Cartesian plane.

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

DOWNLOAD VIDEO             SLIDE            MODULE 1 - 2 - 3

ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

Data and Probability (DP)

2. Evaluation of statistical reports. 

3. Union and intersection of events, dependent and independent events, and complementary events.  

6. Evaluate statistical reports by linking claims to displays, statistics, and representative data. 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

7. Illustrate mutually exclusive events and non-mutually exclusive events. 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

8. Identify complementary events. 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

9. Solve probability problems involving: 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

    a. Union and intersection of events, including mutually and non-mutually exclusive events; 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

    b. Dependent and independent events, including conditional probability where the solution is limited         to the use of contingency tables or Venn diagrams; and 

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

    c. Complementary events.

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ACTIVITY 1 - 2 - 3             QUIZ  1 - 2 - 3           LP        DLP

PRE TEST                            POST TEST

Q3 PERIODICAL TEST WITH ANSWER KEY WITH TOS SET A

Q3 PERIODICAL TEST WITH ANSWER KEY WITH TOS SET B

Q3 PERIODICAL TEST WITH ANSWER KEY WITH TOS SET C

FOURTH QUARTER

DOWNLOAD: LESSON/S COURSE OUTLINE Q4

Number and Algebra (NA)

1. simple interest, compound interest, and depreciation.  

1. Explore inductively the relationship between simple interest and compound interest. 

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ACTIVITY/QUIZ  1 - 2 - 3                    LP/DLP 1 2 3

2. Calculate compound interest by repeated applications of simple interest. 

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ACTIVITY/QUIZ 1 - 2 - 3                        LP/DLP 1 2 3

3. Solve problems involving compound interest by repeated applications of simple interest. 

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

4. Explain inductively the formulas for compound interest and depreciation. 

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

5. Explore inductively the differences in the amount of compound interest obtained on amounts of money invested: a. annually, b. quarterly, and c. monthly. 

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

6. Solve real-life problems involving: a. compound interest, and b. depreciation.

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

Measurement and Geometry (MG)

2. central angles; inscribed angles; and angles and lengths formed by intersecting chords, secants, and tangents of a circle. 

3. sectors and segments of a circle, and their areas. 

7. Establish properties and relationships for central angles, inscribed angles, secants, and tangents, of a circle. 

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

DOWNLOAD VIDEO             SLIDE/ MODULE 1 2  3 

ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

DOWNLOAD VIDEO             SLIDE/ MODULE 1 2  3 

ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

8. Solve problems involving:

            a. central angles,         b. inscribed angles, 

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

c. angles formed by two intersecting chords, 

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

d. angles formed by two secants intersecting outside the circle,

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

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                                ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3 

e. angles formed by two intersecting tangents, and 

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

f. angles formed by intersecting secant and tangent. 

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

9. Establish properties and relationships for chords, secants, and tangents. 

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

10. Solve problems involving lengths of: 

        a. intersecting chords, 

 

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

        b. two secant segments intersecting outside a circle, and 

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

        c. two intersecting tangent segments. 

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

11. Define sectors and segments of a circle and finds their areas. 

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

DOWNLOAD VIDEO  1 - 2           SLIDE/ MODULE 1 2  3 

ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

12. Solve problems involving area of a sector of a circle, segment of a circle, and shaded regions in other figures that involve sectors or segments.

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ACTIVITY/ QUIZ 1 - 2 - 3                          LP/DLP 1 2 3

PRE TEST                            POST TEST

Q4 PERIODICAL TEST WITH ANSWER KEY WITH TOS SET A

Q4 PERIODICAL TEST WITH ANSWER KEY WITH TOS SET B

Q4 PERIODICAL TEST WITH ANSWER KEY WITH TOS SET C

MATHEMATICS GRADE 10 (Q1 to Q4)