5th Grade Math
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FIFTH GRADE CURRICULUM DOMAINS:
Operations & Algebraic Thinking
Number Operations in Base Ten
Number & Operations - Fractions
Measurement & Data
Geometry
Topic 1: Understanding Place Value
Students should be able to:
Topic 2: Add and Subtract decimals to Hundredths
Students should be able to:
Topic 3: Fluently Multiply Multi-Digit Whole numbers
Students should be able to:
Topic 4: Use models and strategies to multiply decimals
Students should be able to:
Topic 5: Fluently use models and strategies to divide whole numbers.
Students should be able to:
Topic 6: Fluently use models and strategies to divide decimals.
Students should be able to:
Topic 7: Fluently use equivalent fractions to add and subtract fractions
Students should be able to:
Topic 8: Fluently apply understanding of multiplication to multiply fractions.
Students should be able to:
Topic 9: Fluently apply understanding of division to divide fractions.
Students should be able to:
Topic 10: Understanding Volume concepts.
Students should be able to:
Topic 11: Converting Measurements
Students should be able to:
Topic 12: Understanding interpreting and representing data.
Students should be able to:
Topic 13: Understanding how to write and interpret expressions.
Students should be able to:
To access Envisions online, please visit:
www.pearsonrealize.com
Each student has their own User Name. The User Name can be found in your child's planner.
What does Pearson Realize provide?
- Virtual textbook
- Assignments
- Math tools
- Math games
- Glossary of math terms
- Assignment results (of completed in-class assignments and tests)
FIFTH GRADE CURRICULUM DOMAINS:
Operations & Algebraic Thinking
Number Operations in Base Ten
Number & Operations - Fractions
Measurement & Data
Geometry
Topic 1: Understanding Place Value
Students should be able to:
- use exponents to write powers of 10 and calculate product
- read and write whole numbers using expanded form, number form, and number names
- represent decimals to thousands
- read and write decimals through thousands in different ways
- use place values to compare decimals though thousands
- round decimals to different places
- solve problems involving patterns
- speak using content area vocabulary in context
Topic 2: Add and Subtract decimals to Hundredths
Students should be able to:
- Use properties of addition and strategies to solve problems mentally.
- Understand rounding or compatible numbers to estimate sums and differences.
- Model sums and differences of decimals.
- Add decimals to the hundredths using the standard algorithm.
- Subtract decimals to the hundredths using the standard algorithm.
- Add and subtract decimals.
- Use prior math knowledge and equations or bar diagrams to solve problems
Topic 3: Fluently Multiply Multi-Digit Whole numbers
Students should be able to:
- Use place value understandings and patterns to mentally multiply whole numbers and powers of 10
- Use rounding and compatible numbers to estimate products.
- Multiply 3 digit by 2 digit numbers by combining equal groups and adding partial products.
- Use knowledge about place value and multiplying 2 digit and 3 digit numbers to multiply with zeros.
- Use properties and standard algorithm for multiplication to find the product of multi-digit numbers.
- Use models and strategies to solve word problems.
- Critique the reasoning of others by asking questions, looking for flaws, and using prior knowledge of estimating products.
Topic 4: Use models and strategies to multiply decimals
Students should be able to:
- Use knowledge about place value and patterns to find the product of a decimal number and power of 10.
- Use rounding and compatible numbers to estimate the product of a decimal and a whole number.
- Use models to represent multiplying a decimal and a whole number.
- Use place value understanding and standard multiplication algorithm to multiply a decimal by a whole number.
- Use grids to model decimals and find the product of a decimal times a decimal.
- Multiply decimals using partial products and models.
Topic 5: Fluently use models and strategies to divide whole numbers.
Students should be able to:
- Use place value patterns and mental math to find quotients.
- Use compatible numbers and place value patterns to estimate quotients.
- Use models to find quotients.
- Solve division problems using partial product.
- Find the quotient when the divisor is a multiple of 10.
- Decide where to place the first digit of the quotient when dividing whole numbers.
- Use estimation to decide whether a quotient is reasonable when dividing by 2 digit divisors.
- Make sense of problems and keep working.
Topic 6: Fluently use models and strategies to divide decimals.
Students should be able to:
- Use Mental math and place value patterns to divide a decimal by a power of 10
- Use reason and strategies such as rounding and compatible numbers to estimate quotients in problems with decimals.
- Use models to help find quotients.
- Use the standard algorithm for division to divide decimals by a whole number.
- Use number sense and reasoning to place the decimal point in the quotient.
- Use the standard algorithm and place value to divide a decimal by another decimal.
- Use standard algorithm to divide decimals, annexing zeros as needed.
- use reasoning to solve problems by making sense of quantities and relationships in the situation.
Topic 7: Fluently use equivalent fractions to add and subtract fractions
Students should be able to:
- Estimate sums and differences of fractions by using the nearest half or whole numbers.
- Find common denominators for fractions with unlike denominators.
- Add fractions with unlike denominators using equivalent fractions with a common denominator.
- Subtract fractions with unlike denominators.
- write equivalent fractions to add and subtract fraction with unlike denominators.
- Estimate suns and differences of fractions and mixed numbers.
- Adding mixed numbers using models.
- Add mixed numbers using equivalent fractions and a common denominator.
- Use models to subtract mixed numbers.
- Subtract mixed numbers using equivalent fractions and common denominator.
- Add and subtract mixed numbers using equivalent fractions and common denominator.
- Represent a problem situation with a mathematical model.
Topic 8: Fluently apply understanding of multiplication to multiply fractions.
Students should be able to:
- Multiply a whole number by a fraction.
- Use models to multiply two fractions.
- Multiply two fractions.
- Find the area of a rectangle using fractions and diagrams.
- Use models and equations and previously learned strategies to multiply mixed numbers.
- Compare the size of a product to the size of one factor without multiplying to consider multiplication as scaling.
- Use previously learned knowledge to make sense of problems and persevere in problem solving.
Topic 9: Fluently apply understanding of division to divide fractions.
Students should be able to:
- Understand how fractions are related to division.
- Implement division of fractions to show quotients as fractions and mixed numbers.
- Use multiplication to divide a whole numbers by a unit fraction.
- Use models such as pictorial models or number line to show dividing a whole number by a unit fraction.
- Use models to divide unit fractions bu non-zero whole number.
- Use models to divide whole numbers and unit fractions.
- Solve multi step problems involving division with unit fractions.
Topic 10: Understanding Volume concepts.
Students should be able to:
- Find the volume of solid figures.
- Find the volume of a rectangular prism using a formula.
- Find the volume of prisms in different ways.
- Find the volume of a solid figure that is in combination of two or more rectangular prism.
- Use models, prior knowledge of volumes and previously learned strategies to solve word problems involving volume.
Topic 11: Converting Measurements
Students should be able to:
- Convert Customary units of length
- Convert customary units of capacity.
- Convert customary units of weight.
- Convert metric units of length.
- Convert metric units of capacity.
- Convert metric units of mass.
- Solve real world problems with measurements conversions.
- Be precise when solving measurement problems.
Topic 12: Understanding interpreting and representing data.
Students should be able to:
- Read and analyze line plots
- Organize and display data in a line plot.
- Solve problems using data in a line plot.
- Critique the reasoning of others using understanding of line plots and fractions.
Topic 13: Understanding how to write and interpret expressions.
Students should be able to:
- Use order of operations to evaluate expressions.
- Evaluate expressions with parentheses, brackets, braces.
- Write simple expressions that show calculations with numbers.
- Interpret numerical expressions without evaluating them.
- Use reasoning to solve problems by making sense of quantities and relationships in the situation.