Grade 5 Math
Scope
How can mathematically proficient students apply the mathematics they know to solve problems arising in everyday life, society, and the workplace?
Units
Unit — Whole Number Operations, Expressions and Volume
Essential Questions
How does place value of numbers affect the standard algorithms when multiplying and dividing whole numbers?
Guiding Questions
How is the value of each digit in a number affected when either multiplied or divided by powers of 10?
How do the attributes of a number help us determine its value and relationship to other numbers?
How do we use whole number exponents to denote powers of 10?
How can we use models to represent and solve multiplication and division problems with whole numbers?
What is the relationship between place value positions?
How do we use real world situations to solve multiplication and division problems?
What is volume and how do you measure it?
Resources
Into Math
IXL
Skills
Students will:
make sense of problems and persevere in solving them.
reason abstractly and quantitatively.
construct viable arguments and critique the reasoning of others.
model with mathematics.
use appropriate tools strategically.
attend to precision.
look for and make use of structure.
look for and express regularity in repeated reasoning.
Numbers and Operations in Base Ten: 5NBT.1 5NBT.2, 5NBT.5, 5NBT.6
Numbers and Operations - Fractions: 5NF.3
Measurement and Data: 5.MD.3a, 5.MD.3b, 5.MD.4, 5.MD.5a, 5MD.5b, 5.MD.5c
Unit — Add and Subtract Fractions and Mixed Numbers
Essential Questions
How can we use models and equivalent fractions to perform addition and subtraction with fractions?
Guiding Questions
Why is it necessary to find equivalent fractions when adding/subtracting fractions?
How do we use real world situations to solve addition and subtraction problems with fractions?
Resources
Into Math
IXL
Skills
Students will:
make sense of problems and persevere in solving them.
reason abstractly and quantitatively.
construct viable arguments and critique the reasoning of others.
model with mathematics.
use appropriate tools strategically.
attend to precision.
look for and make use of structure.
look for and express regularity in repeated reasoning.
Numbers and Operations - Fractions: 5.NF.1, 5.NF.2
Unit — Multiply Fractions and Mixed Numbers
Essential Questions
How can we use models to perform multiplication with fractions and mixed numbers?
Guiding Questions
How can we use the multiplication of fractions, mixed numbers, and whole numbers to solve real world problems?
How do we convert mixed numbers to improper fractions?
When we multiply a number by a fraction, how does the product compare to the number?
How do we multiply fractional side lengths to find the area of a rectangle and represent fraction products as rectangular areas?
Resources
Into Math
IXL
Skills
Students will:
make sense of problems and persevere in solving them.
reason abstractly and quantitatively.
construct viable arguments and critique the reasoning of others.
model with mathematics.
use appropriate tools strategically.
attend to precision.
look for and make use of structure.
look for and express regularity in repeated reasoning.
Numbers and Operations - Fractions: 5.NF.4a, 5.NF.6, 5.NF.4b, 5.NF.5a, 5NF.5b
Unit — Divide Fractions and Convert Customary Units
Essential Questions
How can we use models and equivalent fractions to perform division with fractions?
Guiding Questions
What is the relationship between multiplication and division when working with fractions?
How can we divide a unit fraction by a whole number or a whole number by a unit fraction?
How are fractions related to division?
How can we use division with unit fractions and whole numbers to solve real-world problems?
How can we use division with unit fractions and whole numbers to solve real-world problems?
How can we convert a measurement from one customary unit to another?
How can we use line plots to interpret data?
Resources
Into Math
IXL
Skills
Students will:
make sense of problems and persevere in solving them.
reason abstractly and quantitatively.
construct viable arguments and critique the reasoning of others.
model with mathematics.
use appropriate tools strategically.
attend to precision.
look for and make use of structure.
look for and express regularity in repeated reasoning.
Numbers and Operations - Fractions: 5.NF.3, 5.NF.7a, 5.NF.7c, 5.NF.7b
Measurement and Data: 5.MD.1, 5.MD.2
Unit — Add and Subtract Decimals
Essential Questions
How does understanding place value help us add and subtract decimals?
Guiding Questions
How do the attributes of a number help us determine its value and relationship to other numbers?
How can we use place value to compare decimals?
How can we use models to represent addition and subtraction of decimals?
Resources
Into Math
IXL
Skills
Students will:
make sense of problems and persevere in solving them.
reason abstractly and quantitatively.
construct viable arguments and critique the reasoning of others.
model with mathematics.
use appropriate tools strategically.
attend to precision.
look for and make use of structure.
look for and express regularity in repeated reasoning.
Numbers and Operations in Base Ten: 5.NBT.1, 5.NBT.3a, 5.NBT.4, 5.NBT.3b, 5.NBT..7
Unit — Multiplying Decimals
Essential Questions
How does understanding the relationships between the four operations help us to multiply decimals?
Guiding Questions
How do we use place value to multiply with decimals?
How do we use real world situations to solve multiplication problems with decimals?
Resources
Into Math
IXL
Skills
Students will:
make sense of problems and persevere in solving them.
reason abstractly and quantitatively.
construct viable arguments and critique the reasoning of others.
model with mathematics.
use appropriate tools strategically.
attend to precision.
look for and make use of structure.
look for and express regularity in repeated reasoning.
Numbers and Operations in Base Ten: 5.NBT.A.2, 5.NBT.B.7
Unit — Divide Decimals and Convert Metric Units
Essential Questions
How does understanding the relationships between the four operations help us to divide decimals?
Guiding Questions
How do we use place value to divide with decimals?
How do we use real world situations to solve division problems with decimals?
How does the metric system of measurement relate to place value in the base 10 system?
Resources
Into Math
IXL
Skills
Students will:
make sense of problems and persevere in solving them.
reason abstractly and quantitatively.
construct viable arguments and critique the reasoning of others.
model with mathematics.
use appropriate tools strategically.
attend to precision.
look for and make use of structure.
look for and express regularity in repeated reasoning.
Numbers and Operations in Base Ten: 5.NBT.2, 5.NBT.7
Measurement and Data: 5.MD.1
Unit — Graphs, Patterns and Geometry
Essential Questions
How do we apply mathematical reasoning to interpret data, evaluate expressions, and make sense of geometric figures?
Guiding Questions
What is the coordinate plane?
How do we use ordered pairs to locate points and draw figures on a coordinate plane?
How do we use properties to classify two dimensional figures?
How does the Order of Operations establish a set of rules for evaluating numerical expressions?
Resources
Into Math
IXL
Skills
Students will:
make sense of problems and persevere in solving them.
reason abstractly and quantitatively.
construct viable arguments and critique the reasoning of others.
model with mathematics.
use appropriate tools strategically.
attend to precision.
look for and make use of structure.
look for and express regularity in repeated reasoning.
Geometry: 5.G.1, 5.G.2, 5.G.3, 5.G.3, 5.G.4
Operations and Algebraic Thinking: 5.OA.1, 5.OA.2