# Level 5 Math Enrichment Class

\$1,400

CODE: GR5M-2023
Total hours: 40
Class Schedule: Wednesday 7:30 pm-8:45 pm
Duration: August 24 th 2022 – May ’11 th 2023

## Description

#### 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