Curriculum map

1. Calculate weekly or monthly wages from an annual salary, wages from an hourly rate, including situations involving overtime and other allowances, and earnings based on commission or piecework.
2. Apply a percentage increase or decrease in various contexts:
   1. determining the impact of inflation on costs and wages over time
   2. calculating percentage mark-ups and discounts
   3. calculating VAT
   4. calculating profit or loss in both absolute and percentage terms
3. Solve problems involving salaries, wages, benefits, and deductions (tax computations, overtime pay, and gross and net incomes) using appropriate technology.

Needs first: Fractions and Decimals, Ratio, Proportion and Percent

• ILAW plan: Earning Money: Wages, Percentages and the Payslip
• 20 practice problems
• Quiz
• Insurance and contributions: PhilHealth, SSS, Pag-IBIG
• Palengke prices: tracking the cost of ulam
• Remittances and exchange rates
• Wages and payroll: from daily rate to net pay

1. Describe patterns by inspection, including patterns in art and nature.
2. Determine the next term of a given pattern, including the Fibonacci sequence.
3. Identify the rule of a given pattern.
4. Illustrate the attributes of arithmetic and geometric sequences.
5. Solve problems involving arithmetic and geometric sequences.
6. Differentiate sequences from series.
7. Illustrate arithmetic and geometric series.
8. Represent series using sigma notation and vice versa.
9. Find the sum of arithmetic and geometric series.
10. Solve problems involving arithmetic and geometric series.

Needs first: Signed Numbers, Basic Algebra

• 9 practice problems
• Quiz

1. Apply sequences and series to solve financial problems, such as periodic payments for loans and mortgages.
2. Determine the accumulated values of investment over time using sequences and series.

Needs first: Patterns, Sequences and Series, Earning Money and Percentages

• 7 practice problems
• Quiz
• Compound interest: watching ₱10,000 grow
• Loans: Pag-IBIG, motorcycle financing and 5-6
• Savings: bank account, time deposit or MP2?

1. Determine and apply the appropriate metric units for various contexts, such as units for small and large quantities and scientific measurements.
2. Convert measurements with different units in the same system and between different systems.
3. Use a scale to interpret and compare distances on maps, blueprints, and sketches.
4. Solve problems involving the conversion of currencies.
5. Apply time conversions in various real-world scenarios such as travel planning, project management, and daily routine schedules for personal and business transactions.
6. Apply temperature conversions to real-world scenarios such as recipe adjustments, weather reports, scientific experiments, storage conditions, and energy efficiency.

Needs first: Ratio, Proportion and Percent, Fractions and Decimals

• 18 practice problems
• Quiz
• Farm data: palay yield, inputs and break-even
• Jeepney fares: a piecewise function you ride every day
• Remittances and exchange rates
• Weather data: PAGASA rainfall and temperature

1. Determine the surface area of three-dimensional objects, such as prisms, pyramids, cylinders, cones, spheres, and combinations of these.
2. Calculate the volume of prisms, pyramids, cylinders, cones, spheres, and combinations of these.

Needs first: Units and Conversion

• 7 practice problems
• Quiz

1. Classify functions based on their graphs and/or equations to determine if they are linear, absolute value, quadratic, square root, or cube root.
2. Sketch the graph of the following functions: linear, absolute value, quadratic, square root, or cube root with or without technology.
3. Apply the functions to model and solve real-life problems.

Needs first: Basic Algebra, The Coordinate Plane

• ILAW plan: Functions
• 10 practice problems
• Quiz
• Farm data: palay yield, inputs and break-even
• Jeepney fares: a piecewise function you ride every day

1. Illustrate a piecewise function in practical contexts (i.e., fare rates, purchasing, and income tax).
2. Solve practical problems involving piecewise functions.

Needs first: Functions and Their Graphs

• 10 practice problems
• Quiz
• Jeepney fares: a piecewise function you ride every day
• Wages and payroll: from daily rate to net pay

1. Identify different types of data.
2. Classify a given set of data according to its level of measurement.
3. Identify the appropriate measure of central tendency and measures of variability of a given data set for different purposes.
4. Use appropriate technologies (e.g., calculator, Excel, Jamovi, Geogebra, etc.) to calculate measures of central tendency and variability.
5. Interpret the computed measures of central tendency and variability.

Needs first: Fractions and Decimals

• ILAW plan: Making Sense of Data: Descriptive Statistics
• 16 practice problems
• Quiz
• Farm data: palay yield, inputs and break-even
• Palengke prices: tracking the cost of ulam
• Weather data: PAGASA rainfall and temperature

1. Illustrate the trigonometric ratios in a right-angled triangle using a real-life object or figure.
2. Illustrate the area of oblique triangles (i.e., Heron's Formula and the rule Area = ½ ab sin C).
3. Solve practical problems involving:
   1. right and oblique triangles
   2. angles of elevation and depression
   3. the use of bearings in navigation

Needs first: Basic Algebra, Units and Conversion

• 7 practice problems
• Quiz

1. Estimate and measure lengths and distances (e.g., floor dimensions, measuring fabric for clothing).
2. Calculate the area and perimeter of residential spaces (e.g., room renovations, garden layouts).
3. Calculate the volume and capacity of three-dimensional objects (e.g., water tanks, rice storage containers, balik-bayan boxes).
4. Apply volume and capacity in cost estimation (e.g., amount of flour needed for bread production, paint needed for walls).

Needs first: Surface Area and Volume, Earning Money and Percentages

• 7 practice problems
• Quiz

1. Differentiate between discrete and continuous random variables and describe their uses.
2. Calculate the expected value, variance, and standard deviation of discrete random variables.

Needs first: Data and Descriptive Statistics

• 9 practice problems
• Quiz
• Insurance and contributions: PhilHealth, SSS, Pag-IBIG

1. Illustrate a normal random variable and its characteristics.
2. Convert a normal random variable to a standard normal variable and vice versa.
3. Compute probabilities and percentiles involving the standard normal distribution using a Z-distribution table or appropriate technologies.
4. Solve problems involving normal distribution.

Needs first: Random Variables

• 8 practice problems
• Quiz
• Weather data: PAGASA rainfall and temperature

1. Illustrate random sampling.
2. Determine the appropriate sample size for a specific investigation.
3. Distinguish between parameter and statistic, and probability and nonprobability sampling techniques.

Needs first: Data and Descriptive Statistics

• 7 practice problems
• Quiz

1. Solve problems involving compound interest, including maturity value, future value, nominal rates, and number of terms.

Needs first: Sequences in Finance

• ILAW plan: Compound Interest: Growing Money Over Time
• 17 practice problems
• Quiz
• Compound interest: watching ₱10,000 grow
• Savings: bank account, time deposit or MP2?

1. Illustrate simple annuity, general annuity, and deferred annuity.
2. Solve problems involving annuities.
3. Calculate the fair market value of a cash flow stream that includes an annuity.

Needs first: Compound Interest

• 7 practice problems
• Quiz

1. Differentiate between business and consumer loans and their characteristics, such as repayment terms, requirements, purpose, and interest rates.
2. Solve problems involving business and consumer loans (e.g., amortization, mortgage).

Needs first: Annuities and Cash Flows

• 13 practice problems
• Quiz
• Loans: Pag-IBIG, motorcycle financing and 5-6

1. Illustrate:
   1. null hypothesis
   2. alternative hypothesis
   3. level of significance
   4. types of error
2. Formulate the null and alternative hypotheses of a given problem.
3. Determine the:
   1. level of significance
   2. types of error appropriate to a given hypothesis
4. Test hypotheses for one and two population means using technology employing the following statistical tools:
   1. z-test for known standard deviation
   2. z-test for unknown standard deviation
   3. one-sample t-test
   4. independent samples t-test
   5. paired samples t-test

Needs first: The Normal Distribution, Random Sampling

• 8 practice problems
• Quiz

1. Construct a scatter plot and estimate the strength of association between variables.
2. Draw the line of best fit for a scatter plot.
3. Construct a scatter plot and estimate the strength of association between variables.
4. Draw the line of best fit for a scatter plot.
5. Determine the degree of relationship between two variables using Pearson's r correlation.
6. Conclude from the results of hypothesis testing on:
   1. one and two population means using t-test and z-test
   2. relationship using Pearson r correlations

Needs first: Hypothesis Testing, Functions and Their Graphs

• 7 practice problems
• Quiz

1. Identify logical propositions.
2. Differentiate simple from compound propositions.
3. Illustrate basic logical operations.
4. Illustrate the different forms of conditional propositions.
5. Illustrate different types of tautologies and contradictions using practical situations.
6. Determine the truth values of propositions in a practical situation.

• ILAW plan: Logic: Propositions, Truth Tables and Sound Arguments
• 8 practice problems
• Quiz