Contenido principal
Math
- Interpret and rewrite algebraic expressions and equations in equivalent forms.
- Write, solve and graph linear equations, functions and inequalities in one and two variables.
- Write, solve and graph quadratic equations, functions and inequalities in one and two variables.
- Write, solve and graph absolute value equations, functions and inequalities in one and two variables.
- Write, solve and graph exponential and logarithmic equations and functions in one and two variables.
- Solve and graph polynomial equations and functions in one and two variables.
- Solve and graph radical equations and functions in one and two variables.
- Solve and graph rational equations and functions in one and two variables.
- Write and solve a system of two- and three-variable equations and inequalities that describe quantities or relationships.
- Solve problems involving sequences and series.
- Build mathematical foundations for financial literacy.
- Develop an understanding of basic accounting and economic principles.
- Describe the advantages and disadvantages of short-term and long-term purchases.
- Describe the advantages and disadvantages of financial and investment plans, including insurances.
- Prove and apply geometric theorems to solve problems.
- Apply properties of transformations to describe congruence or similarity.
- Use coordinate geometry to solve problems or prove relationships.
- Use geometric measurement and dimensions to solve problems.
- Make formal geometric constructions with a variety of tools and methods.
- Use properties and theorems related to circles.
- Apply geometric and algebraic representations of conic sections.
- Summarize, represent and interpret categorical and numerical data with one and two variables.
- Solve problems involving univariate and bivariate numerical data.
- Solve problems involving categorical data.
- Use and interpret independence and probability.
- Determine methods of data collection and make inferences from collected data.
- Use probability distributions to solve problems.
- Apply recursive methods to solve problems.
- Apply optimization and techniques from Graph Theory to solve problems.
- Apply techniques from Election Theory and Fair Division Theory to solve problems.
- Develop an understanding of the fundamentals of propositional logic, arguments and methods of proof.
- Apply properties from Set Theory to solve problems.
Florida B.E.S.T. Math
Grade 4: Number Sense and Operations
Express how the value of a digit in a multi-digit whole number changes if the digit moves one place to the left or right.
- Adding whole numbers by their place values
- Divide whole numbers by 10
- Dividing whole numbers by 10
- Finding place value
- Identify value of a digit
- Multiply and divide by 10
- Multiply whole numbers by 10
- Multiplying whole numbers by 10
- Place value when multiplying and dividing by 10
- Place value when multiplying and dividing by 10
- Regroup whole numbers
- Regrouping numbers into various place values
- Regrouping whole number place values
- Understanding place value
Read and write multi-digit whole numbers from 0 to 1,000,000 using standard form, expanded form and word form.
- Adding whole numbers by their place values
- Regroup whole numbers
- Regrouping numbers into various place values
- Regrouping whole number place values
- Whole numbers in expanded form review
- Whole numbers in written form review
- Write numbers in written form
- Write whole numbers in different forms
- Write whole numbers in expanded form
- Writing a number in expanded form
- Writing numbers in words and standard form
Plot, order and compare multi-digit whole numbers up to 1,000,000.
Round whole numbers from 0 to 10,000 to the nearest 10, 100 or 1,000.
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Plot, order and compare decimals up to the hundredths.
- Compare decimals (tenths and hundredths)
- Compare decimals visually
- Comparing decimal numbers on a number line
- Comparing decimals (tenths and hundredths)
- Comparing decimals visually
- Decimal place value with regrouping
- Decimal place value with regrouping
- Decimals as words
- Decimals in words
- Decimals on the number line: hundredths
- Decimals on the number line: hundredths 0-0.1
- Decimals on the number line: tenths
- Decimals on the number line: tenths 0-1
- Graphing hundredths from 0 to 0.1
- Graphing tenths from 0 to 1
- Identifying hundredths on a number line
- Identifying tenths on a number line
- Plotting decimal numbers on a number line
- Write decimals and fractions greater than 1 shown on number lines
- Write decimals and fractions shown on number lines
- Writing a number as a fraction and decimal
- Writing decimals and fractions shown on number lines
Recall multiplication facts with factors up to 12 and related division facts with automaticity.
- Basic division
- Basic multiplication
- Basic multiplication
- Find missing divisors and dividends (1-digit division)
- Find missing factors (1-digit multiplication)
- Intro to division
- Intro to division
- Intro to multiplication
- Introduction to multiplication
- Multiplication as equal groups
- Multiplication with arrays
- The idea of division
- Unknowns with multiplication and division
Multiply two whole numbers, up to three digits by up to two digits, with procedural reliability.
- Multiply 1-digit numbers by 10, 100, and 1000
- Multiply 1-digit numbers by a multiple of 10, 100, and 1000
- Multiply 2-digit numbers with area models
- Multiply 3- and 4-digits by 1-digit with area models
- Multiply 3- and 4-digits by 1-digit with distributive property
- Multiply using partial products
- Multiply with partial products (2-digit numbers)
- Multiplying 1-digit numbers by 10, 100, and 1000
- Multiplying 1-digit numbers by multiples of 10, 100, and 1000
- Multiplying 10s
- Multiplying 10s
- Multiplying 2-digits by 1-digit with partial products
- Multiplying two 2-digit numbers using partial products
- Multiplying with area model: 16 x 27
- Multiplying with area model: 6 x 7981
- Multiplying with area model: 78 x 65
- Understand multiplying by a multiple of 10, 100, and 1000
- Using area model and properties to multiply
Multiply two whole numbers, each up to two digits, including using a standard algorithm with procedural fluency.
Divide a whole number up to four digits by a one-digit whole number with procedural reliability. Represent remainders as fractional parts of the divisor.
- Create division equations with area models
- Divide by 1-digit numbers with area models
- Divide multi-digit numbers by 2, 3, 4, and 5 (remainders)
- Divide multi-digit numbers by 6, 7, 8, and 9 (remainders)
- Divide multiples of 10, 100, and 1,000 by 1-digit numbers
- Divide using place value
- Division using place value
- Division with area models
- Division with partial quotients (remainder)
- Intro to long division (no remainders)
- Introduction to division with partial quotients (no remainder)
- Quotients that are multiples of 10
Explore the multiplication and division of multi-digit whole numbers using estimation, rounding and place value.
- Divide by taking out factors of 10
- Estimate multi-digit division problems
- Estimate products (1-digit times 2, 3, and 4-digit)
- Estimate products (2-digit numbers)
- Estimate quotients (3- and 4-digit divided by 1-digit)
- Estimate to divide by 1-digit numbers
- Estimating 2-digit multiplication
- Estimating division that results in non-whole numbers
- Estimating multi-digit division
- Estimating quotients
- Estimating with multiplication
- Strategies for dividing multiples of 10, 100, and 1000
Identify the number that is one-tenth more, one-tenth less, one-hundredth more and one-hundredth less than a given number.
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Explore the addition and subtraction of multi-digit numbers with decimals to the hundredths.
- Add decimals visually
- Adding decimals
- Adding decimals (hundredths)
- Adding decimals (tenths)
- Adding decimals < 1 (hundreths)
- Adding decimals < 1 (tenths)
- Adding decimals and whole numbers (hundredths)
- Adding decimals and whole numbers (tenths)
- Adding decimals with hundredths
- Adding decimals with ones and tenths parts
- Adding decimals with ones, tenths and hundredths
- Estimating decimal addition
- Estimating decimal subtraction
- Estimating with adding decimals
- Estimating with subtracting decimals
- Introduction to adding decimals: tenths
- More advanced subtraction strategies with hundredths
- Strategies for subtracting basic decimals
- Strategies for subtracting more complex decimals with tenths
- Subtract decimals (hundredths)
- Subtract decimals < 1 (hundredths)
- Subtract decimals < 1 (tenths)
- Subtract decimals and whole numbers (hundredths)
- Subtract decimals visually
- Subtracting decimals
- Subtracting decimals (tenths)
- Subtracting decimals and whole numbers (tenths)
- Subtracting decimals: 10.1-3.93
- Subtracting decimals: 9.57-8.09
- Subtraction strategies with hundredths