Grade 5 Math Curriculum 

Location: Aldie

Unit 1: Operations with Parts of a Whole(RECAP)

·       Finding multiples, factors ,GCF and LCM

·       Equivalent fractions

·       Simplifying fractions

·       Comparing fractions

·       Add and subtract simple fractions

·       Real-world problems on add and subtract fractions

·       Multiply and divide simple fractions

·       Real-world problems

Unit 2: Operations with Mixed Fractions(RECAP)

·       Converting between improper fractions and mixed numbers

·       Add and subtract mixed fractions

·       Real-world problems

Unit 3: Ratios and Proportions

·       Introduction to Ratios, Rates, and Proportions

·       Write a proportion given a situation or figure

·       Using scale drawings to find dimensions

·       Solving the proportion

Unit 4: Percentages

·       Define Percent

·       Convert between Fractions, Decimals, and Percent’s

·       Compare Fractions, Decimals, and Percent’s

·       Find the percent of a number using equivalent fractions

·       Finding the percent of a number using proportions

·       Finding the percent of a number using multiplication of decimals

·       Discount, tax, markup calculations, real-world problems

Unit 5: Decimals

·       Naming decimal numbers

·       Rounding decimals to a given place value

·       Comparing and Ordering decimals

·       Expanded Form of a decimal number

·       Operations (add, subtract, multiply, divide) decimals

·       Real world problems with decimals

·       Order of Operations with fractions and decimals (mixed)

·       Order of Operations word problems with fractions and decimals (mixed)

·       Solve practical problems related to elapsed time in hours and minutes within a 24-hour period

Unit 6 : Integers

·       Understanding Integers and using the number line

·       Compare and Order Integers

·       Absolute value and opposite Integers

·       Adding Integers using a number line and rules

·       Subtracting Integers using the number Line and rules

·       Multiplying  and dividing Integers

·       Writing and solving expressions, using Integers

·       Simplifying basic expressions including integers

·       Simplifying positive and negative exponents (Basic Concept)

·       Introduction to square roots (perfect squares)

·       Multiplication/division properties of exponents

·       Simplifying positive and negative exponents

Simplifying positive and negative exponents (with multiplication and division)

·       Converting between scientific notation and standard forms.

·       Order of Operations including integers

·       Writing and solving expressions using Integers

Unit 7: Algebra; Solving Algebraic Equations

·       Variables and expressions, terms, and coefficients

·       Evaluate Expressions including exponents

·       Evaluating Expressions using given values (includes exponents)

·       Learning/Recognizing algebraic vocabulary; parts of an expression/equation

·       Writing algebraic expressions/equation from phrases

·       Writing algebraic expressions/equation from word problems

·       Simplifying expressions

·       Find the missing value (variable) of an equation.

·       Solving 1-step equation using the algebraic method

·       Setting up and solving 1-Step equations from word problems

·       Finding percent of a number using algebra (by multiplying by a decimal)

·       Using the distributive property

·       Setting up equation and solving word problems

·       Solve and graph inequalities

·       Relationship between dependent and independent variables

Unit 8: Probability and Statistics

·       Mean, Median, Mode, and Range

·       Line plots , dot plots , stem-leaf plots and pie charts

·       Probability 

Unit 9 : Geometry

·       Discovering a plane: plotting points on a plane, labeling the parts of a plane

·       Labeling circle

·       Parts of a circle (center, radius, diameter, chord, tangent line) , parts of a triangle

·       Area and perimeter of circles, triangles, and rectangles

·       Recognizing and labeling a line, a line segment, and a ray

·       The student will investigate the sum of the interior angles in a triangle, quadrilateral and determine an unknown angle measure.

·       Investigate and describe the results of combining and subdividing polygons

·       Complementary angles, Supplementary angles

·       Recognizing Cubes, Prisms

·       Finding the Surface area of a  given 3-D figure

·       Finding the volume of a given 3-D figure

·       Transformations: Translation, Reflection, and Rotation