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 3: Number Sense and Operations
Read and write numbers from 0 to 10,000 using standard form, expanded form and word form.
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Compose and decompose four-digit numbers in multiple ways using thousands, hundreds, tens and ones. Demonstrate each composition or decomposition using objects, drawings and expressions or equations.
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Plot, order and compare whole numbers up to 10,000.
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Round whole numbers from 0 to 1,000 to the nearest 10 or 100.
- Estimate to add multi-digit whole numbers
- Estimating when adding multi-digit numbers
- Round to nearest 10 or 100
- Round to nearest 10 or 100 challenge
- Round to nearest 10 or 100 on the number line
- Rounding to nearest 10 and 100
- Rounding to the nearest 10 on the number line
- Rounding to the nearest 100 on the number line
Add and subtract multi-digit whole numbers including using a standard algorithm with procedural fluency.
- Add and subtract within 1000 word problems
- Add on a number line
- Add using groups of 10 and 100
- Add within 1000
- Adding 3-digit numbers
- Adding and subtracting on number line
- Addition using groups of 10 and 100
- Break apart 3-digit addition problems
- Break apart 3-digit subtraction problems
- Breaking apart 3-digit addition problems
- Estimate to add multi-digit whole numbers
- Estimate to subtract multi-digit whole numbers
- Estimating when adding multi-digit numbers
- Estimating when subtracting large numbers
- Find the missing number (add and subtract within 1000)
- Methods for subtracting 3-digit numbers
- Missing number for 3-digit addition within 1000
- Missing number for 3-digit subtraction within 1000
- Select strategies for adding within 1000
- Select strategies for subtracting within 1000
- Subtract on a number line
- Subtract within 1000
- Subtracting 3-digit numbers (regrouping)
- Subtraction by breaking apart
- Three digit addition word problems
- Three digit subtraction word problems
- Using place value to add 3-digit numbers: part 1
- Using place value to add 3-digit numbers: part 2
- Worked example: Subtracting 3-digit numbers (regrouping from 0)
- Worked example: Subtracting 3-digit numbers (regrouping twice)
- Worked example: Subtracting 3-digit numbers (regrouping)
Explore multiplication of two whole numbers with products from 0 to 144, and related division facts.
- Divide with visuals
- Division in context
- Division in contexts
- Division with arrays
- Division with groups of objects
- Division word problem: school building
- Equal groups
- Equal groups
- Fact families
- Introduction to multiplication
- More ways to multiply
- Multiplication as equal groups
- Multiplication as repeated addition
- Multiplication in contexts
- Multiplication in real world contexts
- Multiplication on the number line
- Multiplication with arrays
- Multiplication word problem: parking lot
- Multiply by 10
- Multiply by 2
- Multiply by 2 and 4
- Multiply by 3
- Multiply by 3 and 6
- Multiply by 4
- Multiply by 5
- Multiply by 5 and 10
- Multiply by 6
- Multiply by 7
- Multiply by 8
- Multiply by 9
- Multiply using groups of objects
- Multiply with arrays
- Relate division to multiplication
- Relate division to multiplication word problems
- Relate multiplication and division equations
- Relate repeated addition to multiplication
- Relating division to multiplication
- Represent multiplication on the number line
- Understand equal groups as multiplication
- Understand multiplication using groups of objects
- Understand multiplication with arrays
- Visualizing division with arrays
Multiply a one-digit whole number by a multiple of 10, up to 90, or a multiple of 100, up to 900, with procedural reliability.
Multiply two whole numbers from 0 to 12 and divide using related facts with procedural reliability.
- Basic division
- Basic multiplication
- Divide by 1
- Divide by 10
- Divide by 2
- Divide by 3
- Divide by 4
- Divide by 5
- Divide by 6
- Divide by 7
- Divide by 8
- Divide by 9
- Division as equal groups
- Find missing divisors and dividends (1-digit division)
- Find missing factors (1-digit multiplication)
- Intro to multiplication
- Multiplication as equal groups
- Multiply by 0 or 1
- Multiply by 10
- Multiply by 2
- Multiply by 2 and 4
- Multiply by 3
- Multiply by 3 and 6
- Multiply by 4
- Multiply by 5
- Multiply by 5 and 10
- Multiply by 6
- Multiply by 7
- Multiply by 8
- Multiply by 9
- Relate multiplication and division equations
- Relating division to multiplication
- The idea of division
- Unknowns with multiplication and division