Основно съдържание
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 5: Number Sense and Operations
Express how the value of a digit in a multi-digit number with decimals to the thousandths changes if the digit moves one or more places to the left or right.
- Decimal place value review
- Dividing decimals by 10, 100, and 1000
- Multiply and divide decimals by 10
- Multiply and divide decimals by 10, 100, and 1000
- Multiplying and dividing decimals by 10
- Multiplying and dividing decimals by 10, 100, 1000
- Multiplying decimals by 10, 100, and 1000
- Place value when multiplying and dividing by 10
- Place value with decimals
- Value of a digit
Read and write multi-digit numbers with decimals to the thousandths using standard form, word form and expanded form.
- Decimal place value review
- Decimals in expanded form
- Decimals in expanded form review
- Decimals in written and expanded form
- Decimals in written form
- Decimals in written form (hundredths)
- Decimals in written form (thousandths)
- Decimals in written form review
- Expressing decimals in multiple forms
- Place value names
- Place value with decimals
- Write decimals in expanded form
Compose and decompose multi-digit numbers with decimals to the thousandths in multiple ways using the values of the digits in each place. Demonstrate the compositions or decompositions using objects, drawings and expressions or equations.
Plot, order and compare multi-digit numbers with decimals up to the thousandths.
- Compare decimals challenge
- Compare decimals through thousandths
- Comparing decimals in different representations
- Comparing decimals: 156.378 and 156.348
- Comparing decimals: 9.97 and 9.798
- Decimals on the number line: thousandths
- Order decimals
- Ordering decimals
- Ordering decimals through thousandths
- Thousandths on the number line
Round multi-digit numbers with decimals to the thousandths to the nearest hundredth, tenth or whole number.
Multiply multi-digit whole numbers including using a standard algorithm with procedural fluency.
- Estimate multi-digit multiplication problems
- Estimating multi-digit multiplication
- Intro to standard way of multiplying multi-digit numbers
- Multi-digit multiplication
- Multiply by 1-digit numbers with standard algorithm
- Multiply by taking out factors of 10
- Multiplying multi-digit numbers: 6,742x23
- Relate multiplication with area models to the standard algorithm
- Strategies for multiplying multiples of 10, 100 and 1000
- Understanding the standard algorithm for multiplication
Divide multi-digit whole numbers, up to five digits by two digits, including using a standard algorithm with procedural fluency. Represent remainders as fractions.
- Basic multi-digit division
- Divide by taking out factors of 10
- Dividing by 2-digits: 7182÷42
- Dividing by 2-digits: 9815÷65
- Dividing by a 2-digits: 4781÷32
- Division by 2-digits
- Estimate multi-digit division problems
- Estimating multi-digit division
- Introduction to dividing by 2-digits
- Long division with remainders: 2292÷4
- Long division with remainders: 3771÷8
- Strategies for dividing multiples of 10, 100, and 1000
Add and subtract multi-digit numbers with decimals to the thousandths, including using a standard algorithm with procedural fluency.
- Add decimals like 0.7+0.5
- Add decimals like 0.76+0.21
- Add decimals like 4+5.7
- Add decimals like 40.1+7.6
- Add decimals like 47.75+11.98
- Add decimals like 5.53+6.1
- Add decimals visually
- Adding decimals
- Adding decimals with hundredths
- Adding decimals with ones and tenths parts
- Adding decimals with ones, tenths and hundredths
- Adding decimals: 0.822+5.65
- Adding decimals: 9.087+15.31
- Adding decimals: thousandths
- Adding three decimals
- 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 < 1 (hundredths)
- Subtract decimals like 0.6-0.43
- Subtract decimals like 0.9-0.7
- Subtract decimals like 1.6-0.3
- Subtract decimals like 15-7.45
- Subtract decimals visually
- Subtracting decimals
- Subtracting decimals and whole numbers (tenths)
- Subtracting decimals: 10.1-3.93
- Subtracting decimals: 39.1 - 0.794
- Subtracting decimals: 9.005 - 3.6
- Subtracting decimals: 9.57-8.09
- Subtracting decimals: thousandths
- Subtraction strategies with hundredths
Explore the multiplication and division of multi-digit numbers with decimals to the hundredths using estimation, rounding and place value.
- Developing strategies for multiplying 2-digit decimals
- Developing strategies for multiplying decimals
- Divide decimals like 0.72÷0.08
- Divide decimals like 1.86÷2
- Divide decimals visually
- Divide whole numbers by decimals visually
- Divide whole numbers like 63÷12 to get a decimal
- Divide whole numbers like 7÷5 to get a decimal
- Divide whole numbers with decimal quotients: 5÷2
- Divide whole numbers with decimal quotients: 78÷12
- Dividing a decimal by a whole number example
- Dividing a decimal by a whole number on the number line
- Dividing a decimal by a whole number with fraction models
- Dividing a whole number by a decimal on a number line
- Dividing whole numbers by decimals examples
- Division strategies for decimal quotients
- Estimating decimal division
- Estimating decimal multiplication
- Estimating with dividing decimals
- Estimating with multiplying decimals
- Estimating with multiplying decimals and whole numbers
- Estimating with multiplying decimals and whole numbers
- Multiply decimals (up to 4-digit factors)
- Multiply decimals like 0.56x4
- Multiply decimals like 0.6x0.4
- Multiply decimals like 1.7x0.12
- Multiply decimals visually
- Multiply whole numbers and decimals
- Multiply whole numbers by 0.1 and 0.01
- Multiplying decimals (no standard algorithm)
- Multiplying decimals and whole numbers with visuals
- Multiplying decimals using estimation
- Multiplying decimals: place value
- Pattern when dividing by tenths and hundredths
- Represent decimal multiplication with grids and area models
- Strategies for multiplying decimals and whole numbers
- Strategies for multiplying multi-digit decimals by whole numbers
- Understand multiplying decimals
- Understanding decimal multiplication
- Visually dividing a whole number by a decimal
Multiply and divide a multi-digit number with decimals to the tenths by one-tenth and one-hundredth with procedural reliability.