## Grade 5 Math - Common Core Curriculum

**AUG/SEP: Unit 1 - ORDER OF OPERATIONS and Whole Numbers**

Evaluate numerical expressions with parentheses, brackets, and braces

Write and interpret numerical expressions

Understand that each place increases/decreases by a factor of 10

Explain patterns in the numbers of zeros in the product when multiplying

by powers of 10

Explain patterns in the placement of the decimal point when a decimal is

multiplied or divided by a power of 10

Use whole number exponents to denote powers of 10

Fluently multiply whole numbers using standard algorithm and other strategies

Find whole number quotients in division using various strategies

**SEP/OCT: Unit 2 - DECIMALS and PLACE VALUE**

Explain patterns in the numbers of zeros in the product when multiplying by powers of 10

Understand that each place increases/decreases by a factor of 10

Explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10

Use whole number exponents to denote powers of 10

Read, write, compare decimals to thousandths using <, >, = and expanded form

Round decimals to any place

Add, subtract, multiply, and divide decimals to hundredths using models and various strategies

**NOV/DEC/JAN: Unit 3 - FRACTIONS**

Add and subtract fractions and mixed numbers with unlike denominators

Solve word problems using models

Interpret a fraction as division of numerator by its denominator

Represent fraction products as rectangular areas

Interpret multiplication as scaling

Explain why multiplying by a fraction greater than 1 increases that number

Explain why multiplying by a fraction less than 1 decreases that number

Model and explain division of fractions

Make a line plot to display fractions of a unit

**JAN/FEB: Unit 4 - MEASUREMENT and DATA**

Convert units within a given measurement system

Make a line plot to display fractions of a unit

Recognize volume as an attribute of solid (3D) figures

Measure volume by counting unit cubes

Find volume of rectangular prism by packing it with unit cubes

Apply formula for volume of a rectangular prism

Find volume of a composite figure by adding its component volumes

**FEB/MAR: Unit 5 - GEOMETRY**

Use knowledge of coordinate system of axes, the origin, and ordered pairs to graph coordinates

Represent real world problems by graphing in the first quadrant and interpreting values

Generate 2 numerical patterns using 2 given rules, graph coordinates, and interpret relationships

Understand 2D categorization and subcategorization of figures

Classify 2D figures in a hierarchy

**APRIL: GEORGIA MILESTONES**

**MAY: MAP Testing and Enrichment Projects**

## grade 4 math - common core curriculum

**AUG: Unit 1 - PLACE VALUE, ROUNDING and COMPUTATION of Whole Numbers**

Understand that each place increases/decreases by a factor of 10

Read, write, compare whole numbers using <, >, = and expanded form

Round to any place

Add and subtract using standard algorithm

Solve multi-step word problems using all 4 operations

Interpret remainders, use variables, and assess reasonableness

Solve word problems involving measurement and converting from a larger to smaller unit

**SEP/OCT: Unit 2 - MULTIPLICATION AND DIVISION of Whole Numbers**

Understand multiplicative comparisons, solving word problems with them (distinguish between additive comparison)

Identify prime/composite, odd/even, factors/multiples, find factor pairs

Generate a number or shape pattern that follows a rule

Multiply a four-digit whole number by a single digit number, and multiply two two-digit numbers, explaining using area

model and arrays

Find quotients and remainders of four-digit numbers with a one-digit divisor, explaining using area model and arrays

Find area of composite figures

Solve word problems involving measurement and converting from a larger to smaller unit

**NOV: Unit 3 - FRACTION EQUIVALENCE**

Explain why two or more fractions are equivalent using models

Compare and order fractions with different numerators and different denominators, using visual models, common

denominators and benchmark fractions

Solve word problems involving measurement and converting from a larger to smaller unit

**DEC: Unit 4 - FRACTION Operations**

Decompose a fraction into a sum of various combinations of unit fractions

Add and subtract mixed numbers with like denominators; solve word problems

Multiply a fraction by a whole number, using a number line or area model

Solve word problems involving measurement and converting from a larger to smaller unit

JAN: Unit 5 - FRACTIONS and DECIMALS

Add two decimal fractions

Use decimal notation for decimal fractions

Compare two decimal fractions

Solve word problems involving measurement and converting from a larger to smaller unit

FEB: Unit 6 - GEOMETRY

Draw points, lines, line segments, rays, angles, and perpendicular and parallel lines. Identify these in 2D figures

Classify 2D figures based on parallel or perpendicular lines, or type of angle

Recognize and identify right triangles

Recognize, identify, and draw lines of symmetry

MAR: Unit 7 - MEASUREMENT

Understand relationship between gallons, quarts, cups, and pints

Express larger units in terms of smaller units within the same system (i.e. metric)

Record measurement equivalents in a table

Solve word problems involving measurement and converting from a larger to smaller unit

Apply area and perimeter formulas in real world problems

Find area of composite figures

Make and interpret a line plot

Recognize, interpret, and measure angles

Recognize angle measure as additive

APRIL: GEORGIA MILESTONES

MAY: MAP Testing and Enrichment Projects

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