Spring 1 2023 7 Modules/Objectives 162 Topics ?? CourseReadiness 43 topics Rounding to tens or hundreds Rounding to hundreds or thousands Decimal place value: Tenths and hundredths Decimal place value: Hundreds to ten thousandths Introduction to non-unit fractions Converting a fraction with a denominator of 10 or 100 to a decimal Converting a fraction with a denominator of 100 or 1000 to a decimal Rounding decimals Using a calculator to convert a fraction to a rounded decimal Multiplication of a decimal by a power of ten Multiplication of a decimal by a power of 0.1 Division of a decimal by a power of ten Introduction to exponents Power of 10: Positive exponent Introduction to parentheses Introduction to order of operations Order of operations with whole numbers Order of operations with whole numbers and grouping symbols Order of operations with whole numbers and exponents: Basic Evaluating an algebraic expression: Whole number addition or subtraction Evaluating an algebraic expression: Whole number multiplication or division Evaluating an algebraic expression: Whole numbers with two operations Evaluating an algebraic expression: Whole numbers with one operation and an exponent Evaluating a formula Multiplying a constant and a linear monomial Distributive property: Whole number coefficients Additive property of equality with whole numbers Multiplicative property of equality with whole numbers Introduction to solving an equation with variables on the same side Using two steps to solve an equation with whole numbers Introduction to solving an equation with parentheses Equivalent fractions Introduction to simplifying a fraction Simplifying a fraction Introduction to fraction multiplication Fraction multiplication Product of a fraction and a whole number: Problem type 2 Fraction division Converting a decimal to a proper fraction without simplifying: Basic Converting a decimal to a proper fraction in simplest form: Basic Converting a fraction to a terminating decimal: Basic Converting a fraction to a repeating decimal: Basic Multiplicative property of equality with whole numbers: Fractional answers Consumer Math 1 41 topics Finding a unit price Computing unit prices to find the better buy Solving a word problem on proportions using a unit rate Word problem on unit rates associated with ratios of whole numbers: Decimal answers Converting a fraction with a denominator of 100 to a percentage Converting a percentage to a fraction with a denominator of 100 Introduction to converting a percentage to a decimal Introduction to converting a decimal to a percentage Converting between percentages and decimals Converting between percentages and decimals in a real-world situation Converting a fraction to a percentage: Denominator of 4, 5, or 10 Converting a fraction to a percentage: Denominator of 20, 25, or 50 Using a calculator to convert a fraction to a rounded percentage Converting a fraction to a percentage in a real-world situation Finding a percentage of a whole number Finding a percentage of a total amount: Real-world situations Finding a percentage of a total amount without a calculator: Sales tax, commission, discount Applying the percent equation: Problem type 1 Finding the multiplier to give a final amount after a percentage increase or decrease Finding the final amount given the original amount and a percentage increase or decrease Finding the sale price given the original price and percent discount Writing ratios using different notations Writing ratios for real-world situations Simplifying a ratio of whole numbers: Problem type 1 Solving a proportion of the form x/a=b/c: Basic Solving a proportion of the form x/a = b/c Word problem on proportions: Problem type 1 Word problem on proportions: Problem type 2 Converting a percentage to a fraction in simplest form Converting a decimal percentage to a fraction Writing a ratio as a percentage Computing a percentage from a table of values Comparing discounts Finding the total amount given the percentage of a partial amount Finding the total cost including tax or markup Combined effect of more than one markup or discount Finding the original amount given the result of a percentage increase or decrease Finding the original price given the sale price and percent discount Finding the percentage increase or decrease: Basic Finding the percentage increase or decrease: Advanced Computing the total cost and interest for a loan Exponential&Logarithmic F 14 topics Combining like terms: Whole number coefficients Identifying solutions to a linear equation in one variable: Two-step equations Solving a two-step equation with integers Reading a point in the coordinate plane Plotting a point in the coordinate plane Using a calculator to evaluate exponential expressions Evaluating an exponential function that models a real-world situation Introduction to compound interest Finding a final amount in a word problem on exponential growth or decay Graphing an exponential function: f(x) = bx Using a calculator to evaluate natural and common logarithmic expressions Converting between logarithmic and exponential equations Evaluating logarithmic expressions Basic properties of logarithms Consumer Math 2 14 topics Introduction to compound interest Finding the interest and future value of a simple interest loan or investment Computing the total cost and interest for a loan Finding the principal, rate, or time of a simple interest loan or investment Finding the principal, rate, or time for a simple interest loan whose term is given in months or days Calculating and comparing simple interest and compound interest Finding the future value and interest for an investment earning compound interest Finding the time required for an investment earning compound interest Finding the future value of an annuity Finding the periodic payment needed to meet an investment goal Finding the monthly payment, total payment, and interest for a loan Finding the effective annual interest rate of a loan or investment Finding the down payment, loan amount, and monthly payment for a loan Comparing monthly payments and total costs of two loans Statistics 20 topics Mean of a data set Choosing an appropriate method for gathering data: Problem type 1 Choosing an appropriate method for gathering data: Problem type 2 Classifying samples Constructing a frequency distribution for non-grouped data Constructing a frequency distribution for grouped data Interpreting a histogram Rejecting unreasonable claims based on average statistics Weighted mean: Tabular data Median of a data set Mode of a data set Mean, median, and mode: Computations How changing a value affects the mean and median Finding outliers in a data set Choosing the best measure to describe data Range of a data set Comparing measures of center and variation Percentage of data below a specified value Percentiles Interpreting percentile ranks Probability 20 topics Interpreting a tree diagram Introduction to the counting principle Counting principle Counting principle with repetition allowed Factorial expressions Computing permutations and combinations Introduction to permutations and combinations Permutations and combinations: Problem type 1 Permutations and combinations: Problem type 2 Introduction to the probability of an event Probability involving one die or choosing from n distinct objects Probability involving choosing from objects that are not distinct Understanding likelihood Probabilities of an event and its complement Outcomes and event probability Probabilities of a permutation and a combination Finding the odds in favor and against Converting between probability and odds Introduction to expectation Making reasonable inferences based on proportion statistics Logic 10 topics Interpreting a Venn diagram with 2 sets for a real-world situation Interpreting a Venn diagram with 3 sets for a real-world situation Interpreting Venn diagram cardinalities with 2 sets for a real-world situation Constructing a Venn diagram with 2 sets Constructing a Venn diagram with 2 sets to solve a word problem Identifying statements Identifying simple and compound statements Negation of a statement Understanding quantifiers Negation of a quantified statement