Hauptinhalt
Nebraska Math
Grade 3: ALGEBRA
Students will solve problems and reason with algebra using multiple representations, make connections within math and across disciplines, and communicate their ideas.
Add and subtract up to four-digit whole numbers with or without regrouping using strategies based on place value and algorithms.
- 2-step word problems
- Add within 1000
- Adding 3-digit numbers
- Break apart 3-digit subtraction problems
- Find the missing number (add and subtract within 1000)
- Methods for subtracting 3-digit numbers
- Missing number for 3-digit addition within 1000
- Select strategies for subtracting within 1000
- Subtract within 1000
- Subtracting 3-digit numbers (regrouping)
- Subtraction by breaking apart
- 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)
Determine the reasonableness of whole number sums and differences using estimations and number sense.
Solve and write one-step whole number equations to represent authentic problems using the four operations including equations with an unknown start, unknown change, or unknown result.
- 2-step word problems
- Division in context
- Division in contexts
- Division word problem: blueberries
- Division word problem: school building
- Multiplication in contexts
- Multiplication in real world contexts
- Multiplication word problem: parking lot
- Multiplication word problem: soda party
- Relate division to multiplication word problems
Interpret and solve two-step authentic problems involving whole numbers and the four operations.
Apply commutative, associative, distributive, identity, and zero properties as strategies to multiply and divide.
- Associative property of multiplication
- Associative property of multiplication
- Commutative property of multiplication
- Commutative property of multiplication
- Distributive property
- Distributive property when multiplying
- Multiply by 0 or 1
- Multiply by 3
- Multiply by 7
- Properties and patterns for multiplication
- Properties of multiplication
- Represent the commutative property of multiplication
- Understand associative property of multiplication
- Understand the commutative property of multiplication
- Use associative property to multiply 2-digit numbers by 1-digit
- Using associative property to simplify multiplication
- Visualize distributive property
Use drawings, words, arrays, symbols, repeated addition, equal groups, and number lines to interpret and explain the meaning of multiplication and division and their relationship.
- 2-step word problem: theater
- 2-step word problem: truffles
- Basic multiplication
- Divide with visuals
- Division as equal groups
- Division with arrays
- Division with groups of objects
- Introduction to multiplication
- More ways to multiply
- Multiplication as equal groups
- Multiplication as repeated addition
- Multiplication on the number line
- Multiplication with arrays
- Multiply by 2
- 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
- Patterns in multiplication tables
- Properties and patterns for multiplication
- Relate multiplication and division equations
- Relate repeated addition to multiplication
- Represent multiplication on the number line
- Represent the commutative property of multiplication
- Understand equal groups as multiplication
- Understand multiplication with arrays
- Understand the commutative property of multiplication
- Visualize distributive property
- Visualizing division with arrays
Fluently multiply and divide within 100 using strategies based on understanding and properties of operations.
- 2-step word problems
- Basic division
- Basic multiplication
- Distributive property
- Distributive property when multiplying
- 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
- Divide with visuals
- Division word problem: blueberries
- Division word problem: school building
- Multiplication and division word problems (within 100)
- Multiplication with arrays
- Multiplication word problem: parking lot
- Multiplication word problem: soda party
- 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
- Multiply by tens
- Multiply by tens word problems
- Multiply using groups of objects
- Multiply with arrays
- Use associative property to multiply 2-digit numbers by 1-digit
- Using associative property to simplify multiplication
Multiply one-digit whole numbers by multiples of 10 in the range of 10 to 90 using strategies based on place value and properties of operations.