## Description

*Grade 5 ,Course details*

*Grade 5 ,Course details*

**Unit 1: Operations with Parts of a Whole **

- 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**

- 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: Basic Algebra**

- 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 in equalities
- 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 of simple and multiple events
- Independent and dependent events
- Counting principle

**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
- Triangles: Properties of triangles, congruent triangles, similar triangles
- Finding the measurement of a missing side

- Pythagorean theorem
- 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.
- Recognize and apply transformations, such as translation, reflection, and rotation
- 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